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</div><h2>SL Paper 2</h2><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;"><strong><em>Give your answers to parts (a) to (e) to the nearest dollar.</em></strong></span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">On Hugh’s 18th birthday his parents gave him options of how he might receive his monthly allowance for the next two years.</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;"><strong> Option A </strong></span><span style="font-family: 'times new roman', times; font-size: medium;">\(\$60\) each month for two years</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;"><strong> Option B </strong>\(\$10\) in the first month, \(\$15\) in the second month, \(\$20\) in the third month, increasing by \(\$5\) each month for two years</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;"><strong> Option C </strong>\(\$15\) in the first month and increasing by \(10\%\) each month for two years</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;"><strong> Option D </strong>Investing \(\$1500\) at a bank at the beginning of the first year, with an interest rate of \(6\%\) per annum, <strong>compounded monthly</strong>.</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">Hugh does not spend any of his allowance during the two year period.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>If Hugh chooses <strong>Option A</strong>, calculate the total value of his allowance at the end of the two year period.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>If Hugh chooses <strong>Option B</strong>, calculate</span></p>
<p><span>(i) the amount of money he will receive in the 17th month;</span></p>
<p><span>(ii) the total value of his allowance at the end of the two year period.</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>If Hugh chooses <strong>Option C</strong>, calculate</span></p>
<p><span>(i) the amount of money Hugh would receive in the 13th month;</span></p>
<p><span>(ii) the total value of his allowance at the end of the two year period.</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>If Hugh chooses <strong>Option D</strong>, calculate the total value of his allowance at the end of the two year period.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State which of the options, A, B, C or D, Hugh should choose to give him the greatest total value of his allowance at the end of the two year period.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><span>Another bank guarantees Hugh an amount of \(\$1750\) after two years of investment </span></span><span>if he invests $1500 at this bank. The interest is <strong>compounded annually</strong>.</span></p>
<p><span>Calculate the interest rate per annum offered by the bank.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><strong><em>The first time an answer is not given to the nearest dollar in parts (a) to (e), the final (A1) in that part is not awarded.</em></strong></span></p>
<p><span>\(60 \times 24\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct product.</span></p>
<p> </p>
<p><span>\( = 1440\) <strong><em>(A1)(G2)</em></strong></span></p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong><em>The first time an answer is not given to the nearest dollar in parts (a) to (e), the final (A1) in that part is not awarded.</em></strong></span></p>
<p><span>(i) \(10 + (17 - 1)(5)\) <strong><em>(M1)(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substituted arithmetic sequence formula, <strong><em>(A1) </em></strong>for correct substitution.</span></p>
<p> </p>
<p><span>\( = 90\) <strong><em>(A1)(G2)</em></strong></span></p>
<p><span>(ii) \(\frac{{24}}{2}\left( {2(10) + (24 - 1)(5)} \right)\) <strong><em>(M1)</em></strong></span></p>
<p><span><strong>OR</strong></span></p>
<p><span>\(\frac{{24}}{2}\left( {10 + 125} \right)\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution in arithmetic series formula.</span></p>
<p> </p>
<p><span>\( = 1620\) <strong><em>(A1)</em>(ft)<em>(G1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Follow through from part (b)(i).</span></p>
<p> </p>
<p><span><strong><em>[5 marks]</em></strong></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong><em>The first time an answer is not given to the nearest dollar in parts (a) to (e), the final (A1) in that part is not awarded.</em></strong></span></p>
<p><span>(i) \(15{(1.1)^{12}}\) <strong><em>(M1)(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substituted geometric sequence formula, <strong><em>(A1) </em></strong>for correct substitutions.</span></p>
<p> </p>
<p><span>\( = 47\) <strong><em>(A1)(G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1)(A1)(A0) </em></strong>for \(47.08\).</span></p>
<p><span> Award <strong><em>(G1) </em></strong>for \(47.08\) if workings are not shown.</span></p>
<p> </p>
<p><span>(ii) \(\frac{{15({{1.1}^{24}} - 1)}}{{1.1 - 1}}\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution in geometric series formula.</span></p>
<p> </p>
<p><span>\( = 1327\) <strong><em>(A1)</em>(ft)<em>(G1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Follow through from part (c)(i).</span></p>
<p> </p>
<p><span><strong><em>[5 marks]</em></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p> </p>
<p><span><strong><em>The first time an answer is not given to the nearest dollar in parts (a) to (e), the final (A1) in that part is not awarded.</em></strong></span></p>
<p><span>\(1500{\left( {1 + \frac{6}{{100(12)}}} \right)^{12(2)}}\) <strong><em>(M1)(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substituted compound interest formula, <strong><em>(A1) </em></strong>for correct substitutions.</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p><span>\(N = 2\)</span></p>
<p><span>\(I\% = 6\)</span></p>
<p><span>\(PV = 1500\)</span></p>
<p><span>\(P/Y = 1\)</span></p>
<p><span>\(C/Y = 12\) <strong><em>(A1)(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(A1) </em></strong>for \(C/Y = 12\) seen, <strong><em>(M1) </em></strong>for other correct entries.</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p><span>\(N = 24\)</span></p>
<p><span>\(I\% = 6\)</span></p>
<p><span>\(PV = 1500\)</span></p>
<p><span>\(P/Y = 12\)</span></p>
<p><span>\(C/Y = 12\) <em><strong>(A1)(M1)</strong></em></span></p>
<p><span><strong><em> </em></strong></span></p>
<p><span><strong>Note: </strong>Award <strong><em>(A1) </em></strong>for \(C/Y = 12\) seen, <strong><em>(M1) </em></strong>for other correct entries.</span></p>
<p> </p>
<p><span>\( = 1691\) <strong><em>(A1)(G2)</em></strong></span></p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<p> </p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong><em>The first time an answer is not given to the nearest dollar in parts (a) to (e), the final (A1) in that part is not awarded.</em></strong></span></p>
<p><span>Option D <strong><em>(A1)</em>(ft)</strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Follow through from their parts (a), (b), (c) and (d). Award <strong><em>(A1)</em>(ft) </strong>only if values for the four options are seen and only if their answer is consistent with their parts (a), (b), (c) and (d).</span></p>
<p> </p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(1750 = 1500{\left( {1 + \frac{r}{{100}}} \right)^2}\) <em><strong>(M1)(A1)</strong></em><br><br></span></p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substituted compound interest formula equated to \(1750\), <strong><em>(A1) </em></strong>for correct substitutions into formula.</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p><span>\(N = 2\)</span></p>
<p><span>\(PV = 1500\)</span></p>
<p><span>\(FV = - 1750\)</span></p>
<p><span>\(P/Y = 1\)</span></p>
<p><span>\(C/Y = 1\) <em><strong>(A1)(M1)</strong></em></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(A1) </em></strong>for \(FV = 1750\) seen, <strong><em>(M1) </em></strong>for other correct entries.</span></p>
<p> </p>
<p><span>\( = 8.01\% {\text{ (8.01234}} \ldots \% ,{\text{ }}0.0801{\text{)}}\) <strong><em>(A1)(G2)</em></strong></span></p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">The line \({L_1}\) has equation \(2y - x - 7 = 0\) and is shown on the diagram.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2017-03-07_om_07.59.34.png" alt="N16/5/MATSD/SP2/ENG/TZ0/03"></p>
<p class="p1" style="text-align: left;">The point <span class="s1">A </span>has coordinates \((1,{\text{ }}4)\).</p>
</div>
<div class="specification">
<p class="p1">The point <span class="s1">C </span>has coordinates \((5,{\text{ }}12)\). <span class="s1">M </span>is the midpoint of <span class="s1">AC</span>.</p>
</div>
<div class="specification">
<p class="p1">The straight line, \({L_2}\), is perpendicular to <span class="s1">AC </span>and passes through <span class="s1">M</span>.</p>
</div>
<div class="specification">
<p class="p1">The point <span class="s1">D </span>is the intersection of \({L_1}\) and \({L_2}\).</p>
</div>
<div class="specification">
<p class="p1">The length of <span class="s1">MD </span>is \(\frac{{\sqrt {45} }}{2}\).</p>
</div>
<div class="specification">
<p class="p1">The point <span class="s1">B </span>is such that <span class="s1">ABCD </span>is a rhombus.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1"><span class="s1">Show that </span><span class="s2">A </span>lies on \({L_1}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find the coordinates of <span class="s1">M</span><span class="s2">.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find the length of <span class="s1">AC</span><span class="s2">.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that the equation of \({L_2}\) <span class="s1">is \(2y + x - 19 = 0\).</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find the coordinates of <span class="s1">D</span><span class="s2">.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1"><span class="s1">Write down the length of </span><span class="s2">MD </span>correct to five significant figures.</p>
<div class="marks">[1]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find the area of <span class="s1">ABCD</span><span class="s2">.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(2 \times 4 - 1 - 7 = 0\) (or equivalent) <span class="Apple-converted-space"> </span><strong><em>(R1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>For <strong><em>(R1) </em></strong>accept substitution of \(x = 1\) or \(y = 4\) into the equation followed by a confirmation that \(y = 4\) or \(x = 1\).</p>
<p class="p2"> </p>
<p class="p1">(since the point satisfies the equation of the line,) <span class="s1">A </span>lies on \({L_1}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Do not award <strong><em>(A1)(R0)</em></strong>.</p>
<p class="p2"> </p>
<p class="p1"><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{{1 + 5}}{2}\) <strong>OR</strong> \(\frac{{4 + 12}}{2}\) seen <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for at least one correct substitution into the midpoint formula.</p>
<p class="p2"> </p>
<p class="p1"><span class="Apple-converted-space">\((3,{\text{ }}8)\) </span><strong><em>(A1)(G2)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: <span class="Apple-converted-space"> </span></strong>Accept \(x = 3,{\text{ }}y = 8\).</p>
<p class="p1">Award <strong><em>(M1)(A0) </em></strong>for \(\left( {\frac{{1 + 5}}{2},{\text{ }}\frac{{4 + 12}}{2}} \right)\).</p>
<p class="p1">Award <strong><em>(G1) </em></strong>for each correct coordinate seen without working.</p>
<p class="p2"> </p>
<p class="p1"><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="Apple-converted-space">\(\sqrt {{{(5 - 1)}^2} + {{(12 - 4)}^2}} \) </span><strong><em>(M1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for a correct substitution into distance between two points formula.</p>
<p class="p2"> </p>
<p class="p1"><span class="Apple-converted-space">\( = 8.94{\text{ }}\left( {4\sqrt 5 ,{\text{ }}\sqrt {80} ,{\text{ }}8.94427 \ldots } \right)\) </span><strong><em>(A1)(G2)</em></strong></p>
<p class="p1"><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">gradient of \({\text{AC}} = \frac{{12 - 4}}{{5 - 1}}\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for correct substitution into gradient formula.</p>
<p class="p2"> </p>
<p class="p1"><span class="Apple-converted-space">\( = 2\) </span><strong><em>(A1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1)(A1) </em></strong>for gradient of \({\text{AC}} = 2\) with or without working</p>
<p class="p2"> </p>
<p class="p1">gradient of the normal \( = - \frac{1}{2}\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for the negative reciprocal of their gradient of <span class="s1">AC</span>.</p>
<p class="p2"> </p>
<p class="p1">\(y - 8 = - \frac{1}{2}(x - 3)\) <strong>OR</strong> \(8 = - \frac{1}{2}(3) + c\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for substitution of their point and gradient into straight line formula. This <strong><em>(M1) </em></strong>can <strong>only </strong>be awarded where \( - \frac{1}{2}\) (gradient) is correctly determined as the gradient of the normal to <span class="s1">AC</span>.</p>
<p class="p2"> </p>
<p class="p1">\(2y - 16 = - (x - 3)\) <strong>OR</strong> \( - 2y + 16 = x - 3\) <strong>OR</strong> \(2y = - x + 19\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(A1) </em></strong>for correctly removing fractions, <strong>but only </strong>if their equation is equivalent to the given equation.</p>
<p class="p2"> </p>
<p class="p1"><span class="Apple-converted-space">\(2y + x - 19 = 0\) </span><strong><em>(AG)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>The conclusion \(2y + x - 19 = 0\) must be seen for the <strong><em>(A1) </em></strong>to be awarded.</p>
<p class="p1">Where the candidate has <strong>shown </strong>the gradient of the normal to \({\text{AC}} = - 0.5\), award <strong><em>(M1) </em></strong>for \(2(8) + 3 - 19 = 0\) and <strong><em>(A1) </em></strong>for (therefore) \(2y + x - 19 = 0\).</p>
<p class="p1">Simply substituting \((3,{\text{ }}8)\) into the equation of \({L_2}\) with no other prior working, earns no marks.</p>
<p class="p2"> </p>
<p class="p1"><strong><em>[5 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="Apple-converted-space">\((6,{\text{ }}6.5)\) </span><strong><em>(A1)(A1)(G2)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(A1) </em></strong>for <span class="s1">6</span>, <strong><em>(A1) </em></strong>for <span class="s1">6.5</span>. Award a maximum of <strong><em>(A1)(A0) </em></strong>if answers are not given as a coordinate pair. Accept \(x = 6,{\text{ }}y = 6.5\).</p>
<p class="p1">Award <strong><em>(M1)(A0) </em></strong>for an attempt to solve the two simultaneous equations \(2y - x - 7 = 0\) and \(2y + x - 19 = 0\) algebraically, leading to at least one incorrect or missing coordinate.</p>
<p class="p2"> </p>
<p class="p1"><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">3.3541 <span class="Apple-converted-space"> </span><span class="s1"><strong><em>(A1)</em></strong></span></p>
<p class="p2"> </p>
<p class="p3"><strong>Note: <span class="Apple-converted-space"> </span></strong>Answer <span>must</span> be to <span class="s2">5 </span>significant figures.</p>
<p class="p2"> </p>
<p class="p3"><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="s1">\(2 \times \frac{1}{2} \times \sqrt {80} \times \frac{{\sqrt {45} }}{2}\) <span class="Apple-converted-space"> </span></span><strong><em>(M1)(M1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for correct substitution into area of triangle formula.</p>
<p class="p1">If their triangle is a quarter of the rhombus then award <strong><em>(M1) </em></strong>for multiplying their triangle by <span class="s2">4</span>.</p>
<p class="p1">If their triangle is a half of the rhombus then award <strong><em>(M1) </em></strong>for multiplying their triangle by <span class="s2">2</span>.</p>
<p class="p2"> </p>
<p class="p1"><strong>OR</strong></p>
<p class="p1"><span class="Apple-converted-space">\(\frac{1}{2} \times \sqrt {80} \times \sqrt {45} \) </span><strong><em>(M1)(M1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for doubling <span class="s2">MD </span>to get the diagonal <span class="s2">BD</span>, <strong><em>(M1) </em></strong>for correct substitution into the area of a rhombus formula.</p>
<p class="p1">Award <strong><em>(M1)(M1) </em></strong>for \(\sqrt {80} \times \) their (f).</p>
<p class="p2"> </p>
<p class="p1"><span class="Apple-converted-space">\( = 30\) </span><strong><em>(A1)</em>(ft)<em>(G3)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: <span class="Apple-converted-space"> </span></strong>Follow through from parts (c) and (f).</p>
<p class="p1">\(8.94 \times 3.3541 = 29.9856 \ldots \)</p>
<p class="p2"> </p>
<p class="p1"><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The natural numbers: 1, 2, 3, 4, 5… form an arithmetic sequence.</span></p>
</div>
<div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A geometric progression \(G_1\) has 1 as its first term and 3 as its common ratio.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State the values of<em> u</em><sub>1</sub> and <em>d</em> for this sequence.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use an appropriate formula to show that the sum of the natural numbers from 1 to <em>n</em> is given by \(\frac{1}{2}n (n +1)\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the sum of the natural numbers from 1 to 200.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The sum of the first <em>n</em> terms of <em>G</em><sub>1</sub> is 29 524. Find <em>n</em>.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>A second geometric progression <em>G</em><sub>2</sub> has the form \(1,\frac{1}{3},\frac{1}{9},\frac{1}{{27}}...\)</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">ii.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the sum of the first 10 terms of <em>G</em><sub>2</sub>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">ii.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Explain why the sum of the first 1000 terms of <em>G</em><sub>2</sub> will give the same answer as the sum of the first 10 terms, when corrected to three significant figures.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">ii.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Using your results from parts (a) to (c), or otherwise, calculate the sum of the first 10 terms of the sequence \(2,3\frac{1}{3},9\frac{1}{9},27\frac{1}{{27}}...\) </span></p>
<p><span>Give your answer <strong>correct to one decimal place</strong>.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">ii.e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(u_1 = d = 1\). <em><strong>(A1)(A1)</strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Sum is \(\frac{1}{2}n(2{u_1} + d(n - 1))\) or \(\frac{1}{2}n({u_1} + {u_n})\) <em><strong>(M1)</strong></em></span></p>
<p><em><span>Award <strong>(M1)</strong> for either sum formula seen, even without substitution.</span></em></p>
<p><span>So sum is \(\frac{1}{2}n(2 + (n - 1)) = \frac{1}{2}n(n + 1)\) <em><strong>(A1)(AG)</strong></em></span></p>
<p><span><em>Award <strong>(A1)</strong> for substitution of</em> \({u_1} = 1 = d\) <em>or</em> \({u_1} = 1\) <em>and</em> \({u_n} = n\) </span><em><span>with simplification where appropriate.</span></em><span> \(\frac{1}{2}n(n + 1)\) <em>must be seen to award this <strong>(A1)</strong>.</em></span></p>
<p><strong><span><em>[2 marks]</em></span></strong></p>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{1}{2}(200)(201) = 20 100\) <em><strong>(M1)(A1)(G2)</strong></em></span></p>
<p><em><span><strong>(M1)</strong> is for correct formula with correct numerical input. Original sum formula with u, d and n can be used.</span></em></p>
<p><strong><em><span>[2 marks]</span></em></strong></p>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{1 - {3^n}}}{{1 - 3}} = 29524\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><em><span><strong>(M1)</strong> for correctly substituted formula on one side, <strong>(A1)</strong> for</span> <span>= 29524 on the other side.</span></em></p>
<p><span>n = 10. <em><strong>(A1)(G2)</strong></em></span></p>
<p><em><span>Trial and error is a valid method. Award <strong>(M1)</strong> for at least</span></em> <span>\(\frac{{1 - {3^{10}}}}{{1 - 3}}\) </span><span><em>seen and then <strong>(A1)</strong> for = 29524,</em> <em><strong>(A1)</strong> for</em> \(n = 10\)<em>.</em></span> <span><em>For only unproductive trials with</em> \(n \ne 10\)<em>, award <strong>(M1)</strong> and</em></span><em> <span>then <strong>(A1)</strong> if the evaluation is correct.</span></em></p>
<p><strong><em><span>[3 marks]</span></em></strong></p>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Common ratio is \(\frac{1}{3}\), (0.333 (3sf) or 0.3) <em><strong>(A1)</strong></em></span></p>
<p><em><span>Accept ‘divide by 3’.</span></em></p>
<p><strong><em><span>[1 mark]</span></em></strong></p>
<div class="question_part_label">ii.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{1 - {{\left( {\frac{1}{3}} \right)}^{10}}}}{{1 - \frac{1}{3}}}\) <em><strong>(M1)</strong></em></span></p>
<p><span>= 1.50 (3sf) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G1)</strong></em></span></p>
<p><span><span><em>1.5 and</em> \(\frac{3}{2}\) <em>receive</em> <em><strong>(A0)(AP)</strong> if <strong>AP</strong> not yet used Incorrect formula seen in (a) or incorrect value in (b) can follow through to (c). Can award <strong>(M1)</strong> for</em></span> <span>\(1 + \left( {\frac{1}{3}} \right) + \left( {\frac{1}{9}} \right) + ......\)</span></span></p>
<p><em><strong><span><span>[2 marks]</span></span></strong></em></p>
<div class="question_part_label">ii.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Both \({\left( {\frac{1}{3}} \right)^{10}}\) and \({\left( {\frac{1}{3}} \right)^{1000}}\) (or those numbers divided by 2/3) are 0 when corrected to 3sf, so they make no difference to the final answer. <em><strong>(R1)</strong></em></span></p>
<p><em><span>Accept any valid explanation but please note: statements which only convey the idea of convergence are not enough for <strong>(R1)</strong>. The reason must show recognition that the convergence is adequately fast (though this might be expressed in a much less technical manner).</span></em></p>
<p><strong><em><span>[1 mark]</span></em></strong></p>
<div class="question_part_label">ii.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>The sequence given is \(G_1 + G_2\) <em><strong>(M1)</strong></em></span></p>
<p><span>The sum is 29 524 + 1.50 <em><strong>(A1)(</strong></em><strong>ft)</strong></span></p>
<p><span>= 29 525.5 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><em><span>The <strong>(M1)</strong> is implied if the sum of the two numbers is seen.</span> <span>Award <strong>(G1)</strong> for 29 500 with no working.</span> <span><strong>(M1)</strong> can be awarded for</span></em><br><span>\(2 + 3\frac{1}{3} + ...\)</span> <em><span>Award final <strong>(A1)</strong> only</span> <span>for answer given correct to 1dp.</span></em></p>
<p><strong><em><span>[3 marks]</span></em></strong></p>
<div class="question_part_label">ii.e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(i) Identification of <em>u</em><sub>1</sub> and <em>d</em> was fine. In (b) many candidates failed to recognise the need for a general proof and simply gave an example substitution. Part (c) was well done.</span></p>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(i) Identification of <em>u</em><sub>1</sub> and <em>d</em> was fine. In (b) many candidates failed to recognise the need for a general proof and simply gave an example substitution. Part (c) was well done.</span></p>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(i) Identification of <em>u</em><sub>1</sub> and <em>d</em> was fine. In (b) many candidates failed to recognise the need for a general proof and simply gave an example substitution. Part (c) was well done.</span></p>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(ii) Too many candidates here failed to swap to the GP formulae. Those who did know what was happening here often performed the calculations well and got decent marks. The explanations in (d) were often unsatisfactory but some allowance was made for the language difficulties encountered by candidates writing in a 2<sup>nd</sup> or higher language. The last part (e) of the question, intended as a high-grade discriminator performed that task very well.</span></p>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(ii) Too many candidates here failed to swap to the GP formulae. Those who did know what was happening here often performed the calculations well and got decent marks. The explanations in (d) were often unsatisfactory but some allowance was made for the language difficulties encountered by candidates writing in a 2<sup>nd</sup> or higher language. The last part (e) of the question, intended as a high-grade discriminator performed that task very well.</span></p>
<div class="question_part_label">ii.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(ii) Too many candidates here failed to swap to the GP formulae. Those who did know what was happening here often performed the calculations well and got decent marks. The explanations in (d) were often unsatisfactory but some allowance was made for the language difficulties encountered by candidates writing in a 2<sup>nd</sup> or higher language. The last part (e) of the question, intended as a high-grade discriminator performed that task very well.</span></p>
<div class="question_part_label">ii.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(ii) Too many candidates here failed to swap to the GP formulae. Those who did know what was happening here often performed the calculations well and got decent marks. The explanations in (d) were often unsatisfactory but some allowance was made for the language difficulties encountered by candidates writing in a 2<sup>nd</sup> or higher language. The last part (e) of the question, intended as a high-grade discriminator performed that task very well.</span></p>
<div class="question_part_label">ii.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(ii) Too many candidates here failed to swap to the GP formulae. Those who did know what was happening here often performed the calculations well and got decent marks. The explanations in (d) were often unsatisfactory but some allowance was made for the language difficulties encountered by candidates writing in a 2<sup>nd</sup> or higher language. The last part (e) of the question, intended as a high-grade discriminator performed that task very well.</span></p>
<div class="question_part_label">ii.e.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Daniel wants to invest \(\$ 25\,000\) for a total of three years. There are two investment options.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><strong>Option One</strong> pays compound interest at a nominal annual rate of interest of 5 %, compounded <strong>annually</strong>.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><strong>Option Two</strong> pays compound interest at a nominal annual rate of interest of 4.8 %, compounded <strong>monthly</strong>.</span></p>
</div>
<div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">An arithmetic sequence is defined as</span></p>
<p style="text-align: center;"><span style="font-family: times new roman,times; font-size: medium;"><em>u<sub>n</sub></em> = 135 + 7<em>n</em>, <em>n</em> = 1, 2, 3, …</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the value of his investment at the end of the third year for each investment option, <strong>correct to two decimal places</strong>.</span></p>
<div class="marks">[8]</div>
<div class="question_part_label">A.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Determine Daniel’s best investment option.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">A.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate <em>u</em><sub>1</sub>, the first term in the sequence.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">B.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that the common difference is 7.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">B.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><em>S<sub>n</sub></em> is the sum of the first <em>n</em> terms of the sequence.</span></p>
<p><span><span>Find an expression for <em>S<sub>n</sub></em>. Give your answer in the form <em>S<sub>n</sub></em></span><span> = <em>An</em><sup>2</sup> + <em>Bn</em>, where <em>A</em> and<em> B</em> are constants.</span></span></p>
<div class="marks">[3]</div>
<div class="question_part_label">B.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The first term, <em>v</em><sub>1</sub>, of a geometric sequence is 20 and its fourth term <em>v</em><sub>4</sub> is 67.5.</span></p>
<p><span>Show that the common ratio, <em>r</em>, of the geometric sequence is 1.5.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">B.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><em>T<sub>n</sub></em> is the sum of the first <em>n</em> terms of the geometric sequence.</span></p>
<p><span>Calculate <em>T</em><sub>7</sub>, the sum of the first seven terms of the geometric sequence.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">B.e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><span><em>T</em><sub><span><em>n</em></span></sub> is the sum of the first <em>n</em> terms of the geometric sequence.</span></span></p>
<p><span>Use your graphic display calculator to find the smallest value of <em>n</em> for which <em>T<sub>n</sub></em> > <em>S<sub>n</sub></em>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">B.f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><strong>Option 1: </strong> Amount \( = 25\,000{\left( {1 + \frac{5}{{100}}} \right)^3}\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span>= \(28\,940.63\) <em><strong>(A1)(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution in compound interest formula, <em><strong>(A1)</strong></em> for correct substitution. Give full credit for use of lists.</span></p>
<p><br><span><strong>Option 2:</strong> Amount \( = 25\,000{\left( {1 + \frac{{4.8}}{{12(100)}}} \right)^{3 \times 12}}\) <em><strong>(M1)</strong></em></span></p>
<p><span>= \(28\,863.81\) <em><strong>(A1)(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award<em><strong> (M1)</strong></em> for correct substitution in the compound interest formula. Give full credit for use of lists.</span></p>
<p><span> </span></p>
<p><em><strong><span>[8 marks]</span></strong></em></p>
<div class="question_part_label">A.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Option 1 is the best investment option. <strong><em>(A1)</em>(ft)</strong></span></p>
<p><span><br><em><strong>[1 mark]</strong></em></span></p>
<div class="question_part_label">A.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>u</em><sub>1</sub> = 135 + 7(1) <em><strong> (M1)</strong></em></span></p>
<p><span>= 142 <em><strong> (A1)(G2)</strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">B.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>u</em><sub>2</sub> = 135 + 7(2) = 149 <em><strong> (M1)</strong></em></span></p>
<p><span><em>d</em> = 149 – 142 <strong>OR</strong> <em>alternatives</em> <strong><em> (M1)</em>(ft)</strong></span></p>
<p><span><em>d</em> = 7 <em><strong> (AG)</strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">B.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({S_n} = \frac{{n[2(142) + 7(n - 1)]}}{2}\) <em><strong> (M1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong> </strong></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in correct formula.</span></p>
<p><span> </span></p>
<p><span>\( = \frac{{n[277 + 7n]}}{2}\) <strong>OR</strong> <em>equivalent</em> <em><strong> (A1)</strong></em></span></p>
<p><span>\( = \frac{{7{n^2}}}{2} + \frac{{277n}}{2}\) (= 3.5<em>n</em><sup>2 </sup>+ 138.5<em>n</em>) <em><strong>(A1)(G3)</strong></em></span></p>
<p><span><em><strong>[3 marks]</strong></em></span></p>
<div class="question_part_label">B.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>20<em>r</em><sup>3 </sup>= 67.5 <em><strong>(M1)</strong></em></span></p>
<p><span><em>r</em><sup>3</sup> = 3.375 <strong>OR</strong> \(r = \sqrt[3]{{3.375}}\) <em><strong>(A1)</strong></em></span></p>
<p><span><em>r</em> = 1.5 <em><strong> (AG)</strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">B.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({T_7} = \frac{{20({{1.5}^7} - 1)}}{{(1.5 - 1)}}\) <strong><em>(M1)</em></strong></span></p>
<p><br><span><strong>Note:</strong> Award <strong><em>(M1)</em></strong> for correct substitution in correct formula.</span></p>
<p><br><span>= 643<em> (accept 643.4375) </em> <strong><em>(A1)(G2)</em></strong></span></p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">B.e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{20({{1.5}^n} - 1)}}{{(1.5 - 1)}} > \frac{{7{n^2}}}{2} + \frac{{277n}}{2}\) <em><strong>(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for an attempt using lists or for relevant graph.</span></p>
<p><br><span><em>n</em> = 10 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2) </strong></em></span></p>
<p> </p>
<p><span><strong>Note:</strong> Follow through from their (c).</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">B.f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">For many, this question came as a welcome relief following the previous two questions. For those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">A common error was to make all the comparisons using interest alone; though much credit was given for doing this, candidates should be aware of what is being asked for in the question.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Many did not understand the notion of monthly compounding periods.</span></p>
<div class="question_part_label">A.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">For many, this question came as a welcome relief following the previous two questions. For those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">A common error was to make all the comparisons using interest alone; though much credit was given for doing this, candidates should be aware of what is being asked for in the question.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Many did not understand the notion of monthly compounding periods.</span></p>
<div class="question_part_label">A.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: 'times new roman', times; font-size: medium;">For many, this question came as a welcome relief following the previous two questions. For those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-family: 'times new roman', times; font-size: medium;">A common weakness was seen in the “show that” parts of the question where, despite a lenient approach to method, many were unable to communicate their thoughts on paper.</span></p>
<p><span style="font-family: 'times new roman', times; font-size: medium;">For many, finding an expression for <em>S<sub>n</sub></em> in (c) was problematical.<br></span></p>
<p><span style="font-family: 'times new roman', times; font-size: medium;">The final part was challenging to the great majority, with a large number not attempting it at all; only the highly competent reached the correct answer.</span></p>
<div class="question_part_label">B.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">For many, this question came as a welcome relief following the previous two questions. For those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">A common weakness was seen in the “show that” parts of the question where, despite a lenient approach to method, many were unable to communicate their thoughts on paper.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">For many, finding an expression for <em>S<sub>n</sub></em> in (c) was problematical.<br></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The final part was challenging to the great majority, with a large number not attempting it at all; only the highly competent reached the correct answer.</span></p>
<div class="question_part_label">B.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">For many, this question came as a welcome relief following the previous two questions. For those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">A common weakness was seen in the “show that” parts of the question where, despite a lenient approach to method, many were unable to communicate their thoughts on paper.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">For many, finding an expression for <em>S<sub>n</sub></em> in (c) was problematical.<br></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The final part was challenging to the great majority, with a large number not attempting it at all; only the highly competent reached the correct answer.</span></p>
<div class="question_part_label">B.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">For many, this question came as a welcome relief following the previous two questions. For those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">A common weakness was seen in the “show that” parts of the question where, despite a lenient approach to method, many were unable to communicate their thoughts on paper.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">For many, finding an expression for <em>S<sub>n</sub></em> in (c) was problematical.<br></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The final part was challenging to the great majority, with a large number not attempting it at all; only the highly competent reached the correct answer.</span></p>
<div class="question_part_label">B.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">For many, this question came as a welcome relief following the previous two questions. For those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">A common weakness was seen in the “show that” parts of the question where, despite a lenient approach to method, many were unable to communicate their thoughts on paper.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">For many, finding an expression for <em>S<sub>n</sub></em> in (c) was problematical.<br></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The final part was challenging to the great majority, with a large number not attempting it at all; only the highly competent reached the correct answer.</span></p>
<div class="question_part_label">B.e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">For many, this question came as a welcome relief following the previous two questions. For those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">A common weakness was seen in the “show that” parts of the question where, despite a lenient approach to method, many were unable to communicate their thoughts on paper.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">For many, finding an expression for <em>S<sub>n</sub></em> in (c) was problematical.<br></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The final part was challenging to the great majority, with a large number not attempting it at all; only the highly competent reached the correct answer.</span></p>
<div class="question_part_label">B.f.</div>
</div>
<br><hr><br><div class="specification">
<p><strong><span style="font-family: times new roman,times; font-size: medium;">Give all answers in this question correct to two decimal places.</span></strong></p>
<h1><span style="font-family: times new roman,times; font-size: medium;">Part A</span></h1>
<p><span style="font-family: times new roman,times; font-size: medium;">Estela lives in Brazil and wishes to exchange 4000 BRL (Brazil reals) for GBP (British pounds). The exchange rate is 1.00 BRL = 0.3071 GBP. The bank charges 3 % commission on the amount in BRL.</span></p>
</div>
<div class="specification">
<p><strong><span style="font-family: times new roman,times; font-size: medium;">Give all answers in this question correct to two decimal places.</span></strong></p>
<h1><span style="font-family: times new roman,times; font-size: medium;">Part B<br></span></h1>
<p><span style="font-family: times new roman,times; font-size: medium;">Daniel invests $1000 in an account that offers a nominal annual interest rate of 3.5 % <strong>compounded half yearly</strong>.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find, <strong>in BRL</strong>, the amount of money Estela has after commission.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">A.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find, in GBP, the amount of money Estela receives.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">A.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>After her trip to the United Kingdom Estela has 400 GBP left. At the airport she changes this money back into BRL. The exchange rate is now 1.00 BRL = 0.3125 GBP.</span></p>
<p><span>Find, in BRL, the amount of money that Estela should receive.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">A.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Estela actually receives 1216.80 BRL after commission.</span></p>
<p><span>Find, in BRL, the commission charged to Estela.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">A.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The commission rate is <em>t</em> % . Find the value of <em>t</em>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">A.e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that after three years Daniel will have $1109.70 in his account, correct to two decimal places.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">B.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the interest Daniel receives after three years.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">B.b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>4000 × 0.97 = 3880.00 (3880) <em><strong>(M1)(A1)(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for multiplication of correct numbers.</span></p>
<p><br><strong><span>OR</span></strong></p>
<p><span>3 % of 4000 = 120 <em><strong>(A1)</strong></em></span></p>
<p><span>4000 – 120 = 3880.00 (3880) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<p><span><em><strong> </strong></em></span></p>
<div class="question_part_label">A.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>3880 × 0.3071 = 1191.55 <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for multiplication of correct numbers. Follow through from their answer to part (a).</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">A.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{400}}{{0.3125}}\) <em><strong>(M1)</strong></em></span></p>
<p><span>= 1280.00 (1280) <em><strong>(A1)(G2)</strong></em></span><br><br></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for division of correct numbers.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<p> </p>
<div class="question_part_label">A.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>63.20 <em><strong>(A1)</strong></em><strong>(ft)</strong> </span></p>
<p><br><span><strong>Note:</strong> Follow through (their (c) –1216.80).</span></p>
<p><span><em><strong>[1 mark]</strong></em><br></span></p>
<div class="question_part_label">A.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(t = \frac{{63.20 \times 100}}{{1280}}\) <em><strong>(M1)</strong></em></span></p>
<p><span><em>t</em> = 4.94 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em> </span></p>
<p><br><span><strong>Note:</strong> Follow through from their answers to parts (c) and (d).</span><br><br></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">A.e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{A}} = 1000{\left( {1 + \frac{{3.5}}{{2 \times 100}}} \right)^6} = 1109.7023...\) <em><strong>(M1)(A1)(A1)</strong></em></span></p>
<p><span>= 1109.70 <em><strong>(AG)</strong></em></span></p>
<p><br><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for substitution into correct formula, <em><strong>(A1)</strong></em> for correct substitution, <em><strong>(A1)</strong></em> for unrounded answer. If 1109.70 not seen award at most <em><strong>(M1)(A1)(A0)</strong></em>.</span></p>
<p><br><strong><span>OR</span></strong></p>
<p><span>\({\text{I}} = 1000{\left( {1 + \frac{{3.5}}{{2 \times 100}}} \right)^6} - 1000 = 109.7023\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span>A = 1109.7023... <em><strong>(A1)</strong></em></span></p>
<p><span>= 1109.70 <em><strong>(AG)</strong></em> </span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into correct formula, <em><strong>(A1)</strong></em> for correct substitution, <em><strong>(A1)</strong></em> for unrounded answer.</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">B.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>109.70 <em><strong>(A1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> No follow through here.</span></p>
<p><span><em><strong>[1 mark]</strong></em><br></span></p>
<div class="question_part_label">B.b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most of the students were penalized in this question for not given their money answers</span> <span style="font-family: times new roman,times; font-size: medium;">correct to the specified accuracy (2 decimal places).</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The first three parts were well done. Some students gave their answer to part (d) in (e) and</span> <span style="font-family: times new roman,times; font-size: medium;">their answer to (e) in (d). This means that when reading commission they directed their </span><span style="font-family: times new roman,times; font-size: medium;">answers to a percentage (commission rate).</span></p>
<div class="question_part_label">A.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most of the students were penalized in this question for not given their money answers</span> <span style="font-family: times new roman,times; font-size: medium;">correct to the specified accuracy (2 decimal places).</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The first three parts were well done. Some students gave their answer to part (d) in (e) and</span> <span style="font-family: times new roman,times; font-size: medium;">their answer to (e) in (d). This means that when reading commission they directed their </span><span style="font-family: times new roman,times; font-size: medium;">answers to a percentage (commission rate).</span></p>
<div class="question_part_label">A.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most of the students were penalized in this question for not given their money answers</span> <span style="font-family: times new roman,times; font-size: medium;">correct to the specified accuracy (2 decimal places).</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The first three parts were well done. Some students gave their answer to part (d) in (e) and</span> <span style="font-family: times new roman,times; font-size: medium;">their answer to (e) in (d). This means that when reading commission they directed their </span><span style="font-family: times new roman,times; font-size: medium;">answers to a percentage (commission rate).</span></p>
<div class="question_part_label">A.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most of the students were penalized in this question for not given their money answers</span> <span style="font-family: times new roman,times; font-size: medium;">correct to the specified accuracy (2 decimal places).</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The first three parts were well done. Some students gave their answer to part (d) in (e) and</span> <span style="font-family: times new roman,times; font-size: medium;">their answer to (e) in (d). This means that when reading commission they directed their </span><span style="font-family: times new roman,times; font-size: medium;">answers to a percentage (commission rate).</span></p>
<div class="question_part_label">A.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most of the students were penalized in this question for not given their money answers</span> <span style="font-family: times new roman,times; font-size: medium;">correct to the specified accuracy (2 decimal places).</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The first three parts were well done. Some students gave their answer to part (d) in (e) and</span> <span style="font-family: times new roman,times; font-size: medium;">their answer to (e) in (d). This means that when reading commission they directed their </span><span style="font-family: times new roman,times; font-size: medium;">answers to a percentage (commission rate).</span></p>
<div class="question_part_label">A.e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most of the students were penalized in this question for not given their money answers</span> <span style="font-family: times new roman,times; font-size: medium;">correct to the specified accuracy (2 decimal places).</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Most of the students used the correct formula but not all made the correct substitution. From those that made the correct substitution, very few showed the unrounded answer. Part (b) was well done. In part (c) the majority did not put the interest (only) in the formula but the total amount $1109.70.</span></p>
<div class="question_part_label">B.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most of the students were penalized in this question for not given their money answers</span> <span style="font-family: times new roman,times; font-size: medium;">correct to the specified accuracy (2 decimal places).</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Most of the students used the correct formula but not all made the correct substitution. From those that made the correct substitution, very few showed the unrounded answer. Part (b) was well done. In part (c) the majority did not put the interest (only) in the formula but the total amount $1109.70.</span></p>
<div class="question_part_label">B.b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">In the diagram below A, B and C represent three villages and the line segments AB, BC and CA represent the roads joining them. The lengths of AC and CB are 10 km and 8 km respectively and the size of the angle between them is 150°.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the length of the road AB.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the size of the angle CAB.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Village D is halfway between A and B. A new road perpendicular to AB and passing through D is built. Let T be the point where this road cuts AC. This information is shown in the diagram below.</span></p>
<p><span><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAkQAAADBCAIAAAChYDhPAAAalklEQVR4nO3d/W8b52EH8Pwnd/M5iiVYjVwtqJclIjRkmyx0gmukhBqjrRNJtY6Dk2BLnIJUHcRN0RyHSJ2XiJiNRlqOTlOnybHOnKA6B6xnm5PdsGYC1xCeNOmcUOYm4+yqbM4vNPnsh+dI8d0URfLevh/kh9h80ZEG7qvnue89zz0UAADA5u4x+wAAAAA2CmEGAEApXSXR4+9Mj/eOKSlKKb21rDzdy+2aiV83+8DcLZuKH39zZuyRCeWL+k9EmAEAZFLKPoHjBa5n59xSllJKv4iMbRM4vn86njH74FzM+FcQuN3z5Eb9pyLMAJzt+sdqfCVn9lFYX/ZyZHJ70UnTVSOz1aW50LupGqmdvjg//X6qswe0JhOf6eOFkTmSvcsTEWYATpa7okxu/tbhS1+afSCWl1ImOF7oc99ALL0UCYzUSItsmihTQ9vyo1UzpJSJxsbHCDMAB/uSzO3p4oQHX1pEmlVzKxU/OjXUI3Aj3w/s6eX43kB0lbLrNG/PB0aKzqH5Z3bve+2nz/SuzUZSmk3FlemJbl7geGHoQISs5t88myan3pke7w9EV9MX58e2G2/OXvJ6YJjjeydfee25gaLh4CqJKvOBPVPRq0bGGA+tEuXAMNczPH0+XfVzGAe8Zyp6Nf/mZU++lYqfmA+MCBwvcCNTylKaUkpXl+YmezleYP8ZFwvz0hfnx7YbD3Hb8pesqr5P+dGkiTI11CNwfO/Y9Dtvz0UuFJ5V9PLu8UPnU2vfYfUvJLsaPdDLDUxFr5Z+2J/m319eShvvgTADcC79w5lH+vu/Igjd/gXtjtlHYzW3UtEXh7me4QMnU5ml+ZEewThpXo0GBgSOF9bOoflnTp9Pr0anunmB2zETT1NKaXY5emAkf1bNrEYPsGzoDURX2VCPG5iKkvj0LoHLz5UZL9k1E9eM5xvDwcJ1u32R5U8jkyxIdszEtWXl6d6qeWNIx6d3GBeWlj5lx1P6ZBZa20Xlctb4dPm0yLIPnv84pbJkbmfJaLX2+5S8bGl+pId92Gzq5PNDT0eMCUz28pEpZSnNvgR2hDW/EGr8W3QfiK4WUu/k80Pbhg+cTGXZ5bS1A0CYATjVnWvRFwae/cWpf/+WwG3bc+wzXDgrll1WxG4+f6IsOzN+ERnbVjiHljyTXcIpPMRO98YLjTTKj8DYH3e/pryyk+MFIwPYpTjjOZn4dP/a8wvXh16an35x/tLi/EiP0B2InAxNzX20HD1QMhws+yzsMEZCH7z90sHoF38seXL+J04qy9n8R8uPtIwXFqVFkRtkbnfRx6n3PiWMr2hyfmmV0uzqhQufZgsvN8aLWTK3s5EvhP3qUJgCTZ+fGeoRhg7F01njH6VodhRhBuBQucuRvbtn4qu5z4/t2cQL/3Dk0m3EWQEbWOTn4spOmuyPxsjmenx619oz2XgrP+gpHbsYQ7r8ufhqNDAgjBycCTw3v5Sfe2SnY6NXwtKuKA9SygTH9w5NzkSXM0bM7JiYjqaybOxVOtu2xkgd4ZHR549XjJmMoWTVP7JJvKLwqPIV5X9ovfcpcys/lBx5PrpsZA17fmVq1vtC2OEVUpn9QwxMRZeNKd+hF6OpW4V3QpgBOFLu9qUjO73z5HaO5pbf27dd4HZIi24o5jWm2jk9f4Ws9BxaMq9oDC+KLphdjkxuF4YOxdOZdPzQMMcLhQJkdml+pKd3aHRKuZw/f2dLptHK+5PF0ZJ/5tCheDprTNxVHz/RtRBlY6aS2Mi/j5HTZX80Er36gK/aV1Tjfaq82LgaV3oYFalZ/wupmsrs2mRg/ng8VfqjEWYAjnT93EveSeVyjlJKc18uBh/k+N5nFzSMzSil+eks41RrDA4GpqJLiXj5yCY/kbgvksrkn7lj5vylU6c+Y5N4qfibM4HxYXapbGw6kj/HshfmJ+WY/BBqTEnRrBF+fdO/ubx46tMbpefuklGR8VbVx0/1B1vGzKeR08YVsnzc1htdlcVV3fcpeR159zgpGkixXwJKX86+twsXU9m6X0hphFfMiGbTSyejn64dOcIMwMaSyWQikYgoSlCSfKIocHwsFqOU5lZOPLW5f3j32MTY+MTY+MTuHf0cL2yafOvzW3d9TzdYC7Pry/GTc1N9vMBtfzxwLJHOro1slpdOxVOZtXPodXLy0ER30TPZ+XooMK8okSgpbVCw03TZxGDRVag0+WB6vJfjhe7dU29/VD7VWXJljr2qZ+fc4tKpC6mKkVD+ghlLHTYhuW1CuUhOXUhli7OtqH9R/MK+6fh1cqp8nGMcav/0+T+SxXjqRp33KbEanepjNcVby8rTvfmRmRFUxoW0VRJdiKdu1f9C1iI8m4ofP0WWT051Fwa+t1Lx998tPWaEGYBtEELKomvU6w34/QG/n/0/SzJKb352dO/Owxdvr7301ufHJru4npGSv3QxY0ZrZOr186lVVivIt+qNMBufOUnSxc+cixrn07X+fWm1nesZDiiENcWNscu+SOmdyEZtYSgwH11inY78S0pGVKX5lK9OFN68RFlNw0i+oiNJ/eZfx3uNw5uLrt05UCi25D9piXwvY+zQB+wltd+n5AN+Gju1dJHF0tprKc3fXcAL3PaJaSWev9ZV+wvJP8Rtn5heIOls0TuUjIALEGYAFkUIicViEUUJ+P2jXm8huiKKEovFCCGUUk3TgpI06PFEFEXXdeOV+oczj/jKBmG5lRNPbeaF7cFzX2KqsSVupeLKTOClSPx8VHlzxrglq2bhENoNYQZgPl3XCSGqqhZHl08Ug5IUUZREIpFMJsteomlaaDYkcHxJjFFK6e0rJ/Z/7XvKlfLMYpdhHshfSIONWY1OdRdHlzGThrUczYIwA+i0QnSFZTng9w96PHeNrrKXRxRl0OMJzYY0TSt5LLcSf+OH3/6qIDw8OfPG6T/cKMTWn/8QPfLs0FaB44U+79SRaNFD0BQ2kbg25churHbJWo5WhDADaC9N0wghEUUpjq6A3x+aDUUUhRBSHkh1qao66PEE/P76gQcdkE3FI6yzcLcrSdABCDOAVipEV2g2xHoZLHuai65isViMXTNjV8sAoBjCDKB5xc344ugKy7KqqoSQ0qtZTSKE+ESxqKwIAOUQZgCNqrypiw2VWhtdxQghbGYSMQZQH8IMoLriZnxxdBU349uHlRXLO/cAUAPCDIDSajd1FeqFHYiuYrquh2VZ4PjQbAgxBtAghBm4zgab8W09sJqdewCoC2EGDlc1ugr1QhOjq0wsFmPlEZQVAZqAMANHqWzGb+Smrs5gnXufKCLGAJqGMLOLXObqJ7+N1/RbctWFi+gkk8mqN3UV6oUWjK5irKyIzj3AxiHM7CKTUvYJmwYefWJ8Ymzs20P9Asd3PbxrfGx8Yuyx4T6hsPWtg1U249txU1dnaJrG5jwjimL2sQA4AcLMoiou5GRSyoEfRP8vZ/x/8U53uczyL5+adFqY1drupFAvtFF0FUPnHqAdEGZWpGnaoMdTOkV2g/wifObaHUpptW1bV84q5651/DhbqJHtTuyOlRVZ597i858AtoMws6jQbCg0G6rxYGWY2UkT253YXaFzH5QkxBhAOyDMLErTNIHja5z47BRmlr2pq2OwQDBAByDMrItdLqr2iHXDrKwZv8HtTuyOEDLq9Y56vYlEwuxjAXA4hJl16bo+6PFU+3XeKmHWvu1O7A6de4AOQ5hZGruqVPHX5oRZZ7Y7sTtN04KShLIiQIchzCilNJe+fG7huPLG0Z8p7/360kqG3rkWP/txOmv2cVFKabVJqk6EWee3O7E7XddDsyGB48OyjC8HoMNcH2aZK4uHnxrc/Mjel4/+6sz5c9F3j74sfn3Y++jDjx2+ZInzEasPlP5d68PMDc349sECwQCmc3eYZZLRg9/o2jx25OIfc2t/eyd98bXvbt4xE0+bd2QlKi69bDTMrLPdiQOoqsqmWx1fywSwMjeH2Y3Pj+3bwt0/OnfpdvlDX5K5Z4OLq2YcVRWEkEGPx5i5uvHZGeV16TsPChwvPPzkq8cWPq67KCOa8e2Dzj2Adbg4zPQPZ/7mXoF7/OhnNysfzF359ZtnVjp/ULWwGb+7Po3VC62/3YndEUJ8ooiyIoB1uDfM7lw6/PccL/SZXW9vzOnTp+/bvJklU6FcYMftTuwumUyy3xJUVTX7WABgjWvD7M7KiX/q4njhbw9fumP2sTTgRy++eO9fbBI4vqfrvvEnxuy43YndYYFgACtzbZgZHQphZI5YooFfrrIZz/67b/O9j+/Zg2Z8J+m6HpZltkAwvnYAa3JtmOVuLkrbOF74inTuZu7uT2+zQr2w1nYnx37+c4Hj2eAMayN1DDr3AHbh2jCj9E+nD/6lIHC758mNDv/k5m7qYpH219v/Ct25zojFYmwiF184gPW5OMzol2RuTxd37yPSf/+pfGx2J30x/KOfkYrK/rq1fLuTGgtcQSslEgm2QDBiDMAu3BxmlN64dPR7DwncQ3uPnF/JFALtTvp3bxwIfnAls+7pxw7c1FV79WFoASwQDGBT7g4zSnPp3y/8mzi4ie96+Jv/GPjxzMsH/9k7OvnKfzWSZGZtd1JtgSvYKE3T2D9iI/fzAYDVuD3MDJmrJH5m4ZcLZz783Rfp6lV9S213gqFDC7HOvcDx6NwD2BfCrDqLb3fCLuqYeADOgLIigGMgzErYaLuTBhe4glpYjAX8fsQYgAMgzNawoqBduhUlqw/DemCBYADnQZgZNE2zXUuQlSTNPgo7IYSwzj1uPAdwGISZIShJodmQ2UexPpqmCRyPWbJGsM79oMeD4gyAIyHMKLXzlF1oNmS7DO4wLBAM4AYIM0op9YmiTXf0YLOj2KWsKl3XWec+LMuIMQBnQ5hRVVV9omj2UTQPC1xVQucewG3cHmYOWB3KAR+htVRVZZ17DFgB3MPtYeaMa06qqmJwRvOde58oItoB3MbVYcZ6H86YhnL5AldYIBjA5VwdZj5RdMx9Wq5dfTiZTLLOvU0rPADQEu4NM+ed/QN+v6tO6OjcA0CBS8PMkaUJ+94tt166rodlWeD40GzIDZ8XAO7KpWEWluWgJJl9FK3n+NWHC537oCQ542InALSEG8MsmUw6pvdRxsEfjWKBYACozY1h5uzhizNuNijD9m8b9XoRYwBQlevCjP127+ALLQ5bfRidewBohLvCjPU+HL/9B9sg2+yj2ChN04KShLIiADTCXWHmkmUM7d7VZJ17geMRYwDQIBeFmcPm3+qzaWxjgWAAaI6LwszZvY9KtttPmcVYwO9HjAHAerklzFgdzlVzVjZa4gSdewDYIFeEma7r7qzDWf9TE0J8omj94wQAi3NFmNn0AtLGWXmBK9a5H/R4EGMAsHHODzPW+3DtPo0WvFKIBYIBoOWcH2ZBSQrLstlHYRpLDc50XWed+7AsW+SQAMAZHB5mljqVmyU0GzI9ztG5B4C2cniYoVlALXCDXSwWY517lBUBoE2cHGau7X1UCsuyKasPs869TxQRYwDQVo4NM03TbL2kU2t1foErLBAMAJ3k2DALSpLzdkLZiEbGqaxnuMHM0zSNde6t1qIEAAdzZpih91Gp/uCsUNDwiWLTc7Po3AOAWZwZZj5RVFXV7KOwnFoLXBUKGuxuvCYWdWRZKHA8yooAYAoHhpmqqj5RNPsoLKrsIhYhpHIH53Ut6lgY0gUlCTEGAGZxWpjZfSuvdmMLLlNKk8lkndWkAn5/I0NbLBAMABbhtDALzYYcsMlyWwX8/uf2769/ZeuuFx0LQzp77TIDAE7lqDBjp2BMdtVHCHlu//6VlZX6TwtKUtU6Ijr3AGBBjgozCy6qa021gqpY5bohmqYFJQllRQCwIOeEmY32ojRdgwtchWZD7F491rkXOB4xBgDW5JAwQ+9jvQpBVYeu64MDntDsLBYIBgCLc0iYhWUZvY91Yct91d/m7ezZs8/t3/+DqSnX7gYHAHbhhDBLJpPmrgpvU3UWuELnHgDsxQlhht5Hc6rOzRJCfKI46n30/WOvx8t8/EU6Z9bBAgDUY/swY2MItBKao6rqE3sejyiKpmmscz/o8aiqSunNq+T8B4ef/BrHC5sGHvUFpOl/OfjMd4f7BKHvm/tffZ+k75h97AAAa+wdZrqu477djQjLssDxPfdtuX9r78BDD5WXFVPKBMcLfdPxTP5vMlcWX937AMd3DUunVzLV3hIAwAT2DjNsv7lBAsez/7bc2xUOh8sfrgwzSmnuWnzG28UJDzz5n1cw6wgA1mDjMGvwZimoii0QfJ+wuWuTwPKsymKMVcOM0py2sL+bF7hdr36U7tgBAwDUYeMwQ++jaYU9X1RVfejBBwWO39rdXeW6Y40wo7n/ees79wtcz865pWynjhkAoA67hlkikcD2m01gq+aX7flCa/1mUCvMaDo+vUPg+P7KRwAAzGDLMGO9Dyx0uy71FwhOJpNV1miuGWar5176O4QZAFiHLcMMvY910TSNde7rz8pWWeCq5jTj7496twpc/17lc1RAAMAK7BdmjazDBAxbILjBde6rFGpqFUCuKJObeWHzU5Ert9tw1AAA62a/MAtKUliWzT4Kq2NlRYHj17VAcERRSpa4rF7NT0V/sEPg7vce/vhGKw8ZAKB5Nguzu+6ADJTSiKKwsuJ671soX+CqPMxymZULb03t7OK2fv3gySsZTDECgFXYLMzQ+6hv4wsE569H/vkPZ46HXxjdwvECx3c9vGt8bHx810DXpgHvMzNvfXgFvQ8AsBQ7hVlEUXyiaPZRWBQhhHXuN764F1YIAwDbsU2Ysd4HdiSpVL9z3wTs2Q0AtmObMGtkZ2S30TQtKEkNlhXXBYMzALAXe4QZeh9ldF0PzYYEjg/Lcju+FnzVAGAv9ggznyhWWQbXlVjnftDjWVfnHgDA2WwQZqqqovfBqKrKOve4ZxwAoJjVw6z8zie3YqUMnyjiqwAAqGT1MAvNhkrWpHCflpcVAQCcx9Jhxnofrr0ylEwm2QLBuF4IAFCfpcPMtdtvrmuBYAAAsG6YufPWXV3Xw7LMFghGjAEANMiiYebC3kehcx+UJNfOrAIANMeiYRaWZVdtv7nxBYIBANzMimGWTCbLd4l0rkQiwRYIRowBADTNimHmkt4HOvcAAK1iuTBjIxVndx80TWOdezdkNgBAB1grzHRdd/Z67axzL3A8OvcAAC1krTDLb3PsQFggGACgfSwUZpqmObX3wWIs4Pc78tMBAJjOQmEW8PvDsmz2UbQYOvcAAB1glTBLJBIO236TEMI69ygrAgC0m1XCzEknfda5H/R4HPOJAAAszhJh5pjeBxYIBgAwhflhpmnaoMdj962TdV1nnfuwLCPGAAA6zPwwC0qSrXsf6NwDAJjO5DBj22/adygTi8VY5x5lRQAAE5kcZqNer023UWade58oIsYAAExnZphFFMUniiYeQHOwQDAAgNWYFmZ23H4zmUyyzr1NR5MAAE5lWpiFZkOh2ZBZP3290LkHALAyc8LMRr0PVlYUOB5lRQAAyzInzHyiaP2ZukLnPihJiDEAACszIcxUVR31ejv/c9cFCwQDANhIp8PM+r0PttX1qNdr5YMEAIBinQ6z0GwoKEkd/qENQuceAMCmOhpmyWRy0OOx4PUnTdOCkoSyIgCATXU0zAJ+f0RROvkT74p17gWOR4wBANhX58KMVSo69uPuCgsEAwA4RofCzGq9D1VV2QLBdt96BgAAaMfCLCzLFtl+E517AADn6USYJZNJgeNNn8ojhPhEEWVFAADn6USYmd77YJ37QY8HMQYA4EhtDzN2D7JZRUEsEAwA4AbtDTNd10e93kQi0dafUutHh2WZLRCMGAMAcLb2hllEUTrf+0DnHgDAbdoYZpqmCRzf4e57LBZjnXuUFQEA3KONYRbw+8Oy3L73L8M69z5RRIwBALhNu8Ksk9tvYoFgAACXa1eYdSZaNE1jnXurLfkIAACd1JYw60DvA517AAAoaH2YaZo26PG0r/fByoqsc4+yIgAA0HaEWVCSQrOhlr8tLercB/x+xBgAABS0OMza1/vAAsEAAFBLi8Ns1OtVVbW170kIGfV6zVpJBAAArK+VYaaqqk8UW/iG6NwDAEAjWhZmrd1+U9O0oCShrAgAAI1oWZiFZkMt6X3ouh6aDQkcH5ZlxBgAADSiNWHWkt4HFggGAIDmtCbMfKK4wTU4VFVlnfsOL0wMAAAO0IIwU1V11Ott+uXo3AMAwAZtNMw20vsghPhEEWVFAADYoI2GWViWg5K03lclk0m2QHDLb0oDAAAX2lCYJZPJQY9nXWUNLBAMAAAtt6EwC/j9jfc+dF0PyzJbIBgxBgAALdR8mLHiRiPPROceAADaqskwY72PRhZLjMVirHOPsiIAALRJk2EWluW7br+ZSCTYAsGIMQAAaKtmwkzTNIHj60wYYoFgAADopGbCrE7vQ9M01rnf4IIgAAAAjVt3mLHJw8o6IuvcCxyPzj0AAHTY+sJM1/XKTTJRVgQAAHOtL8wiilLW+2AxFvD7EWMAAGCWe+LlPrmayVV9Kut9FFa1xwLBAABgEff86pW9D3C8sGn4yR+/PDP9shQYH+67t3/X1H8sXsmUPjXg94dlmVJKCGGd+0buMwMAAGi3e2hKmeB4oW86bmRXLrNy9iffvF/YNPrqR6uF57HtNxOJBCsronMPAADWURlmlNLMyolntnB8byBaSDM2FMMCwQAAYEFVw+zOtYXvb+H4Lc8sXKOUUhpRFIHjw7KMGAMAAAuqEma59EdHvtMvcMM/PLOSy692j7IiAABYVj7MNg08+sT4xNj4xNhjw32CsOkbB098kq7eagQAALCWfJht/f57/3uTZq6S+On3Dj87vIkXvvr4T04nM3d/BwAAAJPVuGYWfeFrHC98NbCwgjgDAACrqxpmlN5clL7CC9yOmXjatEMDAABoTPUwy2kL+7t5gds9T26Yd2wAAAANqdpm/OS9F77RxW39unT2GjogAABgefeEXxjdwvECJ/QPPTYxNj6xe0c/x3c9/N0X5hdTNRZpBAAAsJRmNucEAACwFIQZAADYHsIMAABs7/8B0qfKmU94lLcAAAAASUVORK5CYII=" alt></span></p>
<p><span>Write down the distance from A to D.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that the distance from D to T is 2.06 km correct to three significant figures.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>A bus starts and ends its journey at A taking the route AD to DT to TA.</span></p>
<p><span>Find the total distance for this journey.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The average speed of the bus while it is moving on the road is 70 km h<sup>–1</sup>. The bus stops for <strong>5 minutes</strong> at each of D and T .</span></p>
<p><span>Estimate the time taken by the bus to complete its journey. Give your answer correct to the nearest minute.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>AB<sup>2</sup> = 10<sup>2</sup> + 8<sup>2</sup> – 2 × 10 </span><span><span>×</span> 8 </span><span><span>×</span> cos150° <em><strong>(M1)(A1)</strong></em></span></p>
<p><span>AB = 17.4 km <em><strong>(A1)(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into correct formula, <em><strong>(A1)</strong></em> for correct substitution, <em><strong>(A1)</strong></em> for correct answer.</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{8}{{\sin {\text{C}}\hat {\rm A}{\text{B}}}} = \frac{{17.4}}{{\sin 150^\circ }}\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span>\({\text{C}}\hat {\rm A}{\text{B}} = 13.3^\circ \) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><br><span><strong>Notes:</strong> Award <strong><em>(M1)</em></strong> for substitution into correct formula, <em><strong>(A1)</strong></em> for correct substitution, <em><strong>(A1)</strong></em> for correct answer. Follow through from their answer to part (a).</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>AD = 8.70 km (8.7 km) <em><strong>(A1)</strong></em><strong>(ft)</strong> </span></p>
<p><br><span><strong>Note:</strong> Follow through from their answer to part (a).</span></p>
<p><span><em><strong>[1 mark]</strong></em><br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>DT = tan (13.29...°) × 8.697... = 2.0550... <em><strong>(M1)(A1)</strong></em></span></p>
<p><span>= 2.06 <em><strong>(AG)</strong></em></span></p>
<p><br><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in the correct formula,</span> <span>award <em><strong>(A1)</strong></em> for the unrounded answer seen. </span><span>If 2.06 not seen award at most <em><strong>(M1)(AO)</strong>.</em></span></p>
<p><span><em><strong>[2 marks]</strong><br></em></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\sqrt {{{8.70}^2} + {{2.06}^2}} + 8.70 + 2.06\) <em><strong>(A1)(M1)</strong></em></span></p>
<p><span>= 19.7 km <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em> </span></p>
<p><br><span><strong>Note:</strong> Award <strong><em>(A1)</em></strong> for AT, <em><strong>(M1)</strong></em> for adding the three sides of </span><span>the triangle ADT, <em><strong>(A1)</strong></em><strong>(ft)</strong> for answer.</span> <span>Follow through from their answer to part (c).</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{19.7}}{{70}} \times 60 + 10\) <em><strong>(M1)(M1)</strong></em></span></p>
<p><span>= 26.9 <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for time on road in minutes, <em><strong>(M1)</strong></em> for adding 10, <em><strong>(A1)</strong></em><strong>(ft)</strong> for unrounded answer. Follow through from their answer to (e).</span></p>
<p><br><span>= 27 (nearest minute) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for their unrounded answer given to the nearest minute.</span></p>
<p><span><em><strong>[4 marks]</strong></em><br></span></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The weak students answered parts (a) and (b) using right-angled trigonometry. Different types of mistakes were seen in (a) when applying the cosine rule: some forgot to square root their answer and others calculated each part separately and then missed the 2 minuses. Part (b) was better done than (a). Follow through was applied from (a) to (c). Part (d) was not well done. Most of the students lost one mark in this part question as they did not show the unrounded answer (2.0550...). Part (e) was fairly well done by those who attempted it. In (f) there were very few correct answers. Students found it difficult to find the time when the average speed and distance were given.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The weak students answered parts (a) and (b) using right-angled trigonometry. Different types of mistakes were seen in (a) when applying the cosine rule: some forgot to square root their answer and others calculated each part separately and then missed the 2 minuses. Part (b) was better done than (a). Follow through was applied from (a) to (c). Part (d) was not well done. Most of the students lost one mark in this part question as they did not show the unrounded answer (2.0550...). Part (e) was fairly well done by those who attempted it. In (f) there were very few correct answers. Students found it difficult to find the time when the average speed and distance were given.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The weak students answered parts (a) and (b) using right-angled trigonometry. Different types of mistakes were seen in (a) when applying the cosine rule: some forgot to square root their answer and others calculated each part separately and then missed the 2 minuses. Part (b) was better done than (a). Follow through was applied from (a) to (c). Part (d) was not well done. Most of the students lost one mark in this part question as they did not show the unrounded answer (2.0550...). Part (e) was fairly well done by those who attempted it. In (f) there were very few correct answers. Students found it difficult to find the time when the average speed and distance were given.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The weak students answered parts (a) and (b) using right-angled trigonometry. Different types of mistakes were seen in (a) when applying the cosine rule: some forgot to square root their answer and others calculated each part separately and then missed the 2 minuses. Part (b) was better done than (a). Follow through was applied from (a) to (c). Part (d) was not well done. Most of the students lost one mark in this part question as they did not show the unrounded answer (2.0550...). Part (e) was fairly well done by those who attempted it. In (f) there were very few correct answers. Students found it difficult to find the time when the average speed and distance were given.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The weak students answered parts (a) and (b) using right-angled trigonometry. Different types of mistakes were seen in (a) when applying the cosine rule: some forgot to square root their answer and others calculated each part separately and then missed the 2 minuses. Part (b) was better done than (a). Follow through was applied from (a) to (c). Part (d) was not well done. Most of the students lost one mark in this part question as they did not show the unrounded answer (2.0550...). Part (e) was fairly well done by those who attempted it. In (f) there were very few correct answers. Students found it difficult to find the time when the average speed and distance were given.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The weak students answered parts (a) and (b) using right-angled trigonometry. Different types of mistakes were seen in (a) when applying the cosine rule: some forgot to square root their answer and others calculated each part separately and then missed the 2 minuses. Part (b) was better done than (a). Follow through was applied from (a) to (c). Part (d) was not well done. Most of the students lost one mark in this part question as they did not show the unrounded answer (2.0550...). Part (e) was fairly well done by those who attempted it. In (f) there were very few correct answers. Students found it difficult to find the time when the average speed and distance were given.</span></p>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Mal is shopping for a school trip. He buys \(50\) tins of beans and \(20\) packets of cereal. The total cost is \(260\) Australian dollars (\({\text{AUD}}\)).</span></p>
</div>
<div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The triangular faces of a square based pyramid, \({\text{ABCDE}}\), are all inclined at \({70^ \circ }\) to the base. The edges of the base \({\text{ABCD}}\) are all \(10{\text{ cm}}\) and \({\text{M}}\) is the centre. \({\text{G}}\) is the mid-point of \({\text{CD}}\).</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down an equation showing this information, taking \(b\) to be the cost of one tin of beans and \(c\) to be the cost of one packet of cereal in \({\text{AUD}}\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Stephen thinks that Mal has not bought enough so he buys \(12\) more tins of beans and \(6\) more packets of cereal. He pays \(66{\text{ AUD}}\).</span></p>
<p><span>Write down another equation to represent this information.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><span>Stephen thinks that Mal has not bought enough so he buys \(12\) more tins of beans and \(6\) more packets of cereal. He pays \(66{\text{ AUD}}\).</span></span></p>
<p><span>Find the cost of one tin of beans.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>(i) Sketch the graphs of the two equations from parts (a) and (b).</span></p>
<p><span>(ii) Write down the coordinates of the point of intersection of the two graphs.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">i.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Using the letters on the diagram draw a triangle showing the position of a \({70^ \circ }\) angle.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that the height of the pyramid is \(13.7{\text{ cm}}\), to 3 significant figures.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">ii.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate</span></p>
<p><span>(i) the length of \({\text{EG}}\);</span></p>
<p><span>(ii) the size of angle \({\text{DEC}}\).</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">ii.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the total surface area of the pyramid.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">ii.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the volume of the pyramid.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">ii.e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(50b + 20c = 260\) <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(12b + 6c = 66\) <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Solve to get \(b = 4\) <em><strong>(M1)(A1)</strong></em><strong>(ft)<em>(G2)</em></strong></span></p>
<p><span><strong>Note: <em>(M1)</em></strong> for attempting to solve the equations simultaneously.</span></p>
<p><span><strong><em>[2 marks]</em></strong><br></span></p>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i)</span></p>
<p><span><img src="data:image/png;base64,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" alt> <em><strong>(A1)(A1)(A1)</strong></em></span></p>
<p><span><em><strong><br></strong></em><span><strong>Notes:</strong> Award <em><strong>(A1)</strong></em> for labels and some idea of scale, <strong><em>(A1)</em>(ft)<em>(A1)</em>(ft)</strong> for each line.</span></span><span><strong><br></strong>The axis can be reversed.</span></p>
<p><span><br>(ii) \((4,3)\) or \((3,4)\) <strong><em>(A1)</em>(ft)</strong></span></p>
<p><span><strong><br>Note: </strong>Accept \(b = 4\), \(c = 3\)<br></span></p>
<p><span><em><strong>[4 marks]</strong></em><br></span></p>
<div class="question_part_label">i.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><img src="data:image/png;base64,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" alt></span><span><span> </span><span> <em><strong>(A1)</strong></em></span></span></p>
<p><span><span><em><strong>[1 mark]<br></strong></em></span></span></p>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\tan 70 = \frac{h}{5}\) <em><strong>(M1)</strong></em></span></p>
<p><span>\(h = 5\tan 70 = 13.74\) <em><strong>(A1)</strong></em></span></p>
<p><span>\(h = 13.7{\text{ cm}}\) <em><strong>(AG)</strong></em></span></p>
<p><span><em><strong>[2 marks]<br></strong></em></span></p>
<div class="question_part_label">ii.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>Unit penalty <strong>(UP)</strong> is applicable in this part of the question where indicated in the left hand column.</em></span></p>
<p><span>(i) \({\text{E}}{{\text{G}}^2} = {5^2} + {13.7^2}\) OR \({5^2} + {(5\tan 70)^2}\) <em><strong>(M1)</strong></em></span></p>
<p><span><em><strong>(UP)</strong></em> \({\text{EG}} = 14.6{\text{ cm}}\) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span>(ii) \({\text{DEC}} = 2 \times {\tan ^{ - 1}}\left( {\frac{5}{{14.6}}} \right)\) <em><strong>(M1)</strong></em></span></p>
<p><span>\( = {37.8^ \circ }\) <em><strong>(A1)</strong></em><strong>(ft)<em>(G2)</em></strong></span></p>
<p><span><strong><em>[4 marks]<br></em></strong></span></p>
<div class="question_part_label">ii.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>Unit penalty <strong>(UP)</strong> is applicable in this part of the question where indicated in the left hand column.</em></span></p>
<p><span>\({\text{Area}} = 10 \times 10 + 4 \times 0.5 \times 10 \times 14.619\) <em><strong>(M1)</strong></em><br></span></p>
<p><span><em><strong>(UP)</strong></em> \( = 392{\text{ c}}{{\text{m}}^2}\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em><br></span></p>
<p><span><em><strong>[2 marks]<br></strong></em></span></p>
<div class="question_part_label">ii.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>Unit penalty <strong>(UP)</strong> is applicable in this part of the question where indicated in the left hand column.</em></span></p>
<p><span>\({\text{Volume}} = \frac{1}{3} \times 10 \times 10 \times 13.7\) <em><strong>(M1)</strong></em></span></p>
<p><span><em><strong>(UP)</strong></em> \( = 457{\text{ c}}{{\text{m}}^3}\) (\(458{\text{ c}}{{\text{m}}^3}\)) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><em><strong>[2 marks]<br></strong></em></span></p>
<div class="question_part_label">ii.e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates managed to write down the equation.</span></p>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates managed to write down the equation.</span></p>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Many managed to find the correct answer and the others tried their best but made some mistake in the process.</span></p>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">(i) Few candidates sketched the graphs well. Few used a ruler.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">(ii) Many candidates could not be awarded ft from their graph because the answer they gave was not possible.</span></p>
<div class="question_part_label">i.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Very few correct drawings.</span></p>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Some managed to show this more by good fortune and ignoring their original triangle than by good reasoning.</span></p>
<div class="question_part_label">ii.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">(i) Many found this as ft from the previous part. Some lost a UP here.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">(ii) This was not well done. The most common answer was \({40^ \circ }\).</span></p>
<div class="question_part_label">ii.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Many managed this or were awarded ft points.</span></p>
<div class="question_part_label">ii.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This was well done and most candidates also remembered their units on this part.</span></p>
<div class="question_part_label">ii.e.</div>
</div>
<br><hr><br><div class="specification">
<p>Rosa joins a club to prepare to run a marathon. During the first training session Rosa runs a distance of 3000 metres. Each training session she increases the distance she runs by 400 metres.</p>
</div>
<div class="specification">
<p>A marathon is 42.195 kilometres.</p>
<p>In the \(k\)th training session Rosa will run further than a marathon for the first time.</p>
</div>
<div class="specification">
<p>Carlos joins the club to lose weight. He runs 7500 metres during the first month. The distance he runs increases by 20% each <strong>month</strong>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the distance Rosa runs in the third training session;</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the distance Rosa runs in the \(n\)th training session.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of \(k\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the total distance, in <strong>kilometres</strong>, Rosa runs in the first 50 training sessions.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the distance Carlos runs in the fifth month of training.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the total distance Carlos runs in the first year.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>3800 m <strong><em>(A1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(3000 + (n - 1)400{\text{ m}}\)\(\,\,\,\)<strong>OR</strong>\(\,\,\,\)\(2600 + 400n{\text{ m}}\) <strong><em>(M1)(A1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution into arithmetic sequence formula, <strong><em>(A1) </em></strong>for correct substitution.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(3000 + (k - 1)400 > 42195\) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for their correct inequality. Accept \(3 + (k - 1)0.4 > 42.195\).</p>
<p>Accept \( = \) <strong>OR </strong>\( \geqslant \). Award <strong><em>(M0) </em></strong>for \(3000 + (k - 1)400 > 42.195\).</p>
<p> </p>
<p>\((k = ){\text{ }}99\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Follow through from part (a)(ii), but only if \(k\) is a positive integer.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{50}}{2}\left( {2 \times 3000 + (50 - 1)(400)} \right)\) <strong><em>(M1)(A1)</em>(ft)</strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution into sum of an arithmetic series formula, <strong><em>(A1)</em>(ft) </strong>for correct substitution.</p>
<p> </p>
<p>\(640\,000{\text{ m}}\) <strong><em>(A1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(A1) </em></strong>for their \(640\,000\) seen.</p>
<p> </p>
<p>\( = 640{\text{ km}}\) <strong><em>(A1)</em>(ft)<em>(G3)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(A1)</em>(ft) </strong>for correctly converting their answer in metres to km; this can be awarded independently from previous marks.</p>
<p> </p>
<p><strong><em>OR</em></strong></p>
<p>\(\frac{{50}}{2}\left( {2 \times 3 + (50 - 1)(0.4)} \right)\) <strong><em>(M1)(A1)</em>(ft)<em>(A1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution into sum of an arithmetic series formula, <strong><em>(A1)</em>(ft) </strong>for correct substitution, <strong><em>(A1) </em></strong>for correctly converting 3000 m and 400 m into km.</p>
<p> </p>
<p>\( = 640{\text{ km}}\) <strong><em>(A1)(G3)</em></strong></p>
<p><strong><em>[4 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(7500 \times {1.2^{5 - 1}}\) <strong><em>(M1)(A1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution into geometric series formula, <strong><em>(A1) </em></strong>for correct substitutions.</p>
<p> </p>
<p>\( = 15\,600{\text{ m }}(15\,552{\text{ m}})\) <strong><em>(A1)(G3)</em></strong></p>
<p><strong><em>OR</em></strong></p>
<p>\(7.5 \times {1.2^{5 - 1}}\) <strong><em>(M1)(A1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution into geometric series formula, <strong><em>(A1) </em></strong>for correct substitutions.</p>
<p> </p>
<p>\( = 15.6{\text{ km}}\) <strong><em>(A1)(G3)</em></strong></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{7500({{1.2}^{12}} - 1)}}{{1.2 - 1}}\) <strong><em>(M1)(A1)</em></strong></p>
<p> </p>
<p><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for substitution into sum of a geometric series formula, <strong><em>(A1) </em></strong>for correct substitutions. Follow through from their ratio (\(r\)) in part (d). If \(r < 1\) (distance does not increase) or the final answer is unrealistic (<em>eg </em>\(r = 20\)), do not award the final <em><strong>(A1)</strong></em>.</p>
<p> </p>
<p>\( = 297\,000{\text{ m }}(296\,853 \ldots {\text{ m}},{\text{ }}297{\text{ km}})\) <strong><em>(A1)(G2)</em></strong></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>Violeta plans to grow flowers in a rectangular plot. She places a fence to mark out the perimeter of the plot and uses 200 metres of fence. The length of the plot is \(x\) metres.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-16_om_17.40.47.png" alt="M17/5/MATSD/SP2/ENG/TZ2/05"></p>
</div>
<div class="specification">
<p>Violeta places the fence so that the area of the plot is maximized.</p>
</div>
<div class="specification">
<p>By selling her flowers, Violeta earns 2 Bulgarian Levs (BGN) per square metre of the plot.</p>
</div>
<div class="specification">
<p>Violeta wants to invest her 5000 BGN.</p>
<p>A bank offers a nominal annual interest rate of 4%, compounded <strong>half-yearly</strong>.</p>
</div>
<div class="specification">
<p>Another bank offers an interest rate of \(r\)% compounded <strong>annually</strong>, that would allow her to double her money in 12 years.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the width of the plot, in metres, is given by \(100 - x\).</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the area of the plot in terms of \(x\).</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of \(x\) that maximizes the area of the plot.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that Violeta earns 5000 BGN from selling the flowers grown on the plot.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the amount of money that Violeta would have after 6 years. Give your answer correct to two decimal places.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find how long it would take for the interest earned to be 2000 BGN.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the lowest possible value for \(r\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{200 - 2x}}{2}\) (or equivalent) <strong><em>(M1)</em></strong></p>
<p><strong>OR</strong></p>
<p>\(2x + 2y = 200\) (or equivalent) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for a correct expression leading to \(100 - x\) (the \(100 - x\) does not need to be seen). The 200 must be seen for the <strong><em>(M1) </em></strong>to be awarded. Do not accept \(100 - x\) substituted in the perimeter of the rectangle formula.</p>
<p> </p>
<p>\(100 - x\) <strong><em>(AG)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(({\text{area}} = ){\text{ }}x(100 - x)\)\(\,\,\,\)<strong>OR</strong>\(\,\,\,\)\( - {x^2} + 100x\) (or equivalent) <strong><em>(A1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(x = \frac{{ - 100}}{{ - 2}}\)\(\,\,\,\)<strong>OR</strong>\(\,\,\,\)\( - 2x + 100 = 0\)\(\,\,\,\)<strong>OR</strong>\(\,\,\,\)graphical method <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for use of axis of symmetry formula or first derivative equated to zero or a sketch graph.</p>
<p> </p>
<p>\(x = 50\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Follow through from part (b), provided <em>x </em>is positive and less than 100.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(50(100 - 50) \times 2\) <strong><em>(M1)(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for substituting their \(x\) into their formula for area (accept “\(50 \times 50\)” for the substituted formula), and <strong><em>(M1) </em></strong>for multiplying by 2. Award at most <strong><em>(M0)(M1) </em></strong>if their calculation does not lead to 5000 (BGN), although the 5000 (BGN) does not need to be seen explicitly.</p>
<p>Substitution of 50 into area formula may be seen in part (c).</p>
<p> </p>
<p>5000 (BGN) <strong><em>(AG)</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(5000{\left( {1 + \frac{4}{{2 \times 100}}} \right)^{2 \times 6}}\) <strong><em>(M1)(A1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for substitution into compound interest formula, <strong><em>(A1) </em></strong>for correct substitution.</p>
<p><strong>OR</strong></p>
<p>\({\text{N}} = 6\)</p>
<p>\({\text{I}}\% = 4\)</p>
<p>\({\text{PV}} = - 5000\)</p>
<p>\({\text{P/Y}} = 1\)</p>
<p>\({\text{C/Y}} = 2\) <strong><em>(M1)(A1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(A1) </em></strong>for \({\text{C/Y}} = 2\) seen, <strong><em>(M1) </em></strong>for other correct entries.</p>
<p> </p>
<p><strong>OR</strong></p>
<p>\({\text{N}} = 12\)</p>
<p>\({\text{I}}\% = 4\)</p>
<p>\({\text{PV}} = - 5000\)</p>
<p>\({\text{P/Y}} = 2\)</p>
<p>\({\text{C/Y}} = 2\) <strong><em>(M1)(A1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(A1) </em></strong>for \({\text{C/Y}} = 2\) seen, <strong><em>(M1) </em></strong>for other correct entries.</p>
<p> </p>
<p>6341.21 (BGN) <strong><em>(A1)(G3)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(A1) </em></strong>for correct answer, to two decimal places only.</p>
<p>Award <strong><em>(G2) </em></strong>for 6341.20 or a correct, unrounded final answer if no working is seen (6341.2089…).</p>
<p> </p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(5000{\left( {1 + \frac{4}{{2 \times 100}}} \right)^{2 \times t}} = 7000\) <strong><em>(M1)(A1)</em>(ft)</strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for using the compound interest formula with a variable for time, <strong><em>(A1)</em>(ft) </strong>for substituting the correct values and equating to 7000. Follow through for their “2” from part (e)(i).</p>
<p> </p>
<p><strong>OR</strong></p>
<p>\({\text{I% }} = 4\)</p>
<p>\({\text{PV}} = ( \pm )5000\)</p>
<p>\({\text{FV}} = \mp 7000\)</p>
<p>\({\text{P/Y}} = 1\)</p>
<p>\({\text{C/Y}} = 2\) <strong><em>(M1)(A1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(A1) </em></strong>for 7000 seen, <strong><em>(M1) </em></strong>for the other correct entries.</p>
<p>Award <strong><em>(M1) </em></strong>for their C/Y from part (e)(i).</p>
<p> </p>
<p><strong>OR</strong></p>
<p>\({\text{I% }} = 4\)</p>
<p>\({\text{PV}} = ( \pm )5000\)</p>
<p>\({\text{FV}} = \mp 7000\)</p>
<p>\({\text{P/Y}} = 2\)</p>
<p>\({\text{C/Y}} = 2\) <strong><em>(M1)(A1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(A1) </em></strong>for 7000 seen, <strong><em>(M1) </em></strong>for the other correct entries.</p>
<p>Award <strong><em>(M1) </em></strong>for their C/Y from part (e)(i).</p>
<p> </p>
<p><strong>OR</strong></p>
<p><img src="images/Schermafbeelding_2017-08-17_om_09.56.01.png" alt="M17/5/MATSD/SP2/ENG/TZ2/05.e.ii/M"> <strong><em>(M1)(A1)</em>(ft)</strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for a sketch with a straight line intercepted by appropriate curve, <strong><em>(A1)</em>(ft) </strong>for numerical answer in the range of 8.4 and 8.5.</p>
<p>Follow through from their part (e)(i).</p>
<p>\(t = 8.50{\text{ (years) }}(8.49564 \ldots )\) <strong><em>(A1)</em>(ft)<em>(G3)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award only <strong><em>(A1) </em></strong>if 16.9912… is seen without working. If working is seen, award at most <strong><em>(M1)(A1)(A0)</em></strong>.</p>
<p> </p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">e.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(5000{\left( {1 + \frac{r}{{100}}} \right)^{12}} = 10000\) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution into compound interest formula with 10 000 seen. </p>
<p><strong>OR</strong></p>
<p>\(2 = {\left( {1 + \frac{r}{{100}}} \right)^{12}}\) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for correct substitution and simplification of compound interest formula, equating to 2.</p>
<p> </p>
<p>\(r = 5.95{\text{ (% ) }}(5.94630 \ldots )\) <strong><em>(A1)(G2)</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">In a game, <em>n</em> small pumpkins are placed 1 metre apart in a straight line. Players start 3 metres before the <span class="s1">first </span>pumpkin.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-04_om_15.01.57.png" alt></p>
<p class="p1">Each player <strong>collects</strong> a single pumpkin by picking it up and bringing it back to the start. The nearest pumpkin is collected <span class="s1">first. </span>The player then collects the next nearest pumpkin and the game continues in this way until the signal is given for the end.</p>
<p class="p1">Sirma runs to get each pumpkin and brings it back to the start.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down the distance, \({a_1}\), in metres that she has to run in order to <strong>collect</strong> the <span class="s1">first </span>pumpkin.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The distances she runs to <strong>collect</strong> each pumpkin form a sequence \({a_1},{\text{ }}{a_2},{\text{ }}{a_3}, \ldots \) .</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>Find \({a_2}\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Find \({a_3}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down the common difference, \(d\), of the sequence.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The <span class="s1">final </span>pumpkin Sirma <strong>collected</strong> was 24 metres from the start.</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>Find the total number of pumpkins that Sirma <strong>collected</strong>.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Find the total distance that Sirma ran to <strong>collect</strong> these pumpkins.</p>
<div class="marks">[5]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Peter also plays the game. When the signal is given for the end of the game he has run 940 metres.</p>
<p class="p1">Calculate the total number of pumpkins that Peter <strong>collected</strong>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Peter also plays the game. When the signal is given for the end of the game he has run 940 metres.</p>
<p class="p1">Calculate Peter’s distance from the start when the signal is given.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="Apple-converted-space">\(6{\text{ (m)}}\) </span><strong><em>(A1)(G1)</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> \(8\)</span> <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p1">(ii) <span class="Apple-converted-space"> \(10\)</span> <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"> </p>
<p class="p1"><strong>Note: </strong>Follow through from part (a).</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="Apple-converted-space">\(2{\text{ (m)}}\) </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p1"> </p>
<p class="p1"><strong>Note: </strong>Follow through from parts (a) and (b).</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\(2 \times 24 = 6 + 2(n - 1)\;\;\;\)<strong>OR</strong>\(\;\;\;24 = 3 + (n - 1)\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution in arithmetic sequence formula.</p>
<p class="p1"> </p>
<p class="p1">\(n = 22\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Follow through from parts (a) and (c).</p>
<p class="p2"> </p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\(\frac{{(6 + 48)}}{2} \times 22\) <span class="Apple-converted-space"> </span><strong><em>(M1)(A1)</em>(ft)</strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution in arithmetic series formula, <strong><em>(A1)</em>(ft) </strong>for correct substitution.</p>
<p class="p2"> </p>
<p class="p1">\( = 594\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Note: </strong>Follow through from parts (a) and (d)(i).</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{{\left[ {2 \times 6 + 2(n - 1)} \right] \times n}}{2} = 940\) <span class="Apple-converted-space"> </span><strong><em>(M1)(A1)</em>(ft)</strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for substitution in arithmetic series formula, <strong><em>(A1) </em></strong>for their correct substituted formula equated to \(940\). Follow through from parts (a) and (c).</p>
<p class="p1"> </p>
<p class="p1">\({n^2} + 5n - 940 = 0\)</p>
<p class="p1">\(n = 28.2611 \ldots \)</p>
<p class="p1">\(n = 28\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{{\left[ {2 \times 6 + 2(28 - 1)} \right] \times 28}}{2}\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for substituting their \(28\) into the arithmetic series formula.</p>
<p class="p2"> </p>
<p class="p1">\( = 16{\text{ (m)}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p><strong><span style="font-size: medium; font-family: times new roman,times;">Part A</span></strong></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The Green Park Amphitheatre was built in the form of a horseshoe and has 20 rows. The number of seats in each row increase by a fixed amount, <em>d</em>, compared to the number of seats in the previous row. The number of seats in the sixth row, <em>u</em><sub>6</sub>, is 100, and the number of seats in the tenth row, <em>u</em><sub>10</sub>, is 124. <em>u</em><sub>1</sub> represents the number of seats in the first row.</span></p>
</div>
<div class="specification">
<p><strong><span style="font-size: medium; font-family: times new roman,times;">Part B</span></strong></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Frank is at the amphitheatre and receives a text message at 12:00. Five minutes later he forwards the text message to three people. Five minutes later, those three people forward the text message to three new people. <strong>Assume this pattern continues and each time the text message is sent to people who have not received it before.</strong> </span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The number of new people who receive the text message forms a geometric sequence</span></p>
<p style="text-align: center;"><span style="font-size: medium; font-family: times new roman,times;">1 , 3 , …</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>(i) Write an equation for <em>u</em><sub>6</sub> in terms of <em>d</em> and <em>u</em><sub>1</sub>.<br></span></p>
<p><span>(ii) Write an equation for <em>u</em><sub>10</sub> in terms of <em>d</em> and <em>u</em><sub>1</sub>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">A.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the value of</span></p>
<p><span>(i) <em>d</em> ;</span></p>
<p><span>(ii) <em>u</em><sub>1</sub> .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">A.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the <strong>total</strong> number of seats in the amphitheatre.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">A.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>A few years later, a <strong>second</strong> level was added to increase the amphitheatre’s capacity by</span> <span>another 1600 seats. Each row has four more seats than the previous row. The first row </span><span>on this level has 70 seats.</span></p>
<p><span>Find the number of rows on the second level of the amphitheatre.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">A.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the next two terms of this geometric sequence.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">B.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the common ratio of this geometric sequence.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">B.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the number of people who will receive the text message at 12:30.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">B.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the <strong>total</strong> number of people who will have received the text message by 12:30.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">B.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the exact time at which a total of 29 524 people will have received the text message.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">B.e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>(i) <em>u</em><sub>1</sub> + 5<em>d</em> = 100 <em><strong>(A1)</strong></em></span></p>
<p> </p>
<p><span>(ii) <em>u</em><sub>1</sub> + 9<em>d</em> = 124 <em><strong>(A1)</strong></em> </span></p>
<p><span><em><strong> </strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">A.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) 6 <em><strong>(G1)</strong></em><strong>(ft)</strong></span></p>
<p> </p>
<p><span>(ii) 70 <em><strong>(G1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong>Notes:</strong> Follow through from their equations in parts (a) and (b) even if working not seen. Their answers must be integers. Award <em><strong>(M1)(A0)</strong></em> for an attempt to solve two equations analytically.</span></p>
<p><span> </span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">A.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(S_{20} = \frac{20}{2}(2 \times 70 + (20 - 1) \times 6)\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substituted sum of AP formula, <em><strong>(A1)</strong></em><strong>(ft)</strong> for their correct substituted values.</span></p>
<p><br><span>= 2540 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Follow through from their part (b).</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">A.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{n}{2}(2 \times 70 + (n - 1) \times 4) = 1600\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substituted sum of AP formula, <em><strong>(A1)</strong></em> for their correct substituted values.</span></p>
<p><br><span>4<em>n</em><sup>2</sup> +136<em>n</em> – 3200 = 0 <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for this equation (or other equivalent expanded quadratic) seen, may be implied if correct final answer seen.</span></p>
<p><br><span><em>n</em> = 16 <em><strong>(A1)(G3)</strong></em></span></p>
<p><span><strong>Note:</strong> Do not award the final <em><strong>(A1)</strong></em> for <em>n</em> = 16, – 50 given as final answer, award <em><strong>(G2)</strong></em> if <em>n</em> = 16, – 50 given as final answer without working.</span></p>
<p><span><em><strong>[4 marks]</strong></em><br></span></p>
<div class="question_part_label">A.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>9, 27 <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">B.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>3 <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">B.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>1 × 3<sup>6</sup> <em><strong>(M1)</strong></em></span></p>
<p><span>= 729 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correctly substituted GP formula. Follow through from their answer to part (b).</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">B.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{1(3^7 - 1)}}{(3 - 1)}\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correctly substituted GP formula. Accept sum 1+ 3 + 9 + 27 + ... + 729. If lists are used, award <em><strong>(M1)</strong></em> for correct list that includes 1093. (1, 4, 13, 40, 121, 364, 1093, 3280…)</span></p>
<p><br><span>= 1093 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em> </span></p>
<p><span><strong>Note:</strong> Follow through from their answer to part (b). For consistent use of <em>n</em> = 6 from part (c) (243) to part (d) leading</span><br><span>to an answer of 364, treat as double penalty and award <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong> if working is shown.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">B.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{1(3^n - 1)}}{(3 - 1)} = 29524\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correctly substituted GP formula. If lists are used, award <em><strong>(M1)</strong></em> for correct list that includes 29524. (1, 4, 13, 40, 121, 364, 1093, 3280, 9841, 29524, 88573...). Accept alternative methods, for example continuation of sum in part (d).</span></p>
<p><br><span><em>n</em> = 10 <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong>Note:</strong> Follow through from their answer to part (b).</span></p>
<p><br><span>Exact time = 12:45 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><em><strong>[3 marks]<br></strong></em></span></p>
<div class="question_part_label">B.e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><strong><span style="font-size: medium; font-family: times new roman,times;">Part A: Arithmetic</span></strong></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The contextual nature of this question posed problems for many, though there were many fine attempts. Failure to discriminate between the sequence and series formulas was the cause of the most errors. The final part saw many able to substitute into the formula for the series, but then unable to continue. The use of the GDC in such situations is encouraged; either by graphing each side of the equation and drawing the resultant sketch or by the solver function.</span></p>
<div class="question_part_label">A.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><span style="font-size: medium; font-family: times new roman,times;">Part A: Arithmetic</span></strong></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The contextual nature of this question posed problems for many, though there were many fine attempts. Failure to discriminate between the sequence and series formulas was the cause of the most errors. The final part saw many able to substitute into the formula for the series, but then unable to continue. The use of the GDC in such situations is encouraged; either by graphing each side of the equation and drawing the resultant sketch or by the solver function.</span></p>
<div class="question_part_label">A.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><span style="font-size: medium; font-family: times new roman,times;">Part A: Arithmetic</span></strong></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The contextual nature of this question posed problems for many, though there were many fine attempts. Failure to discriminate between the sequence and series formulas was the cause of the most errors. The final part saw many able to substitute into the formula for the series, but then unable to continue. The use of the GDC in such situations is encouraged; either by graphing each side of the equation and drawing the resultant sketch or by the solver function.</span></p>
<div class="question_part_label">A.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><span style="font-size: medium; font-family: times new roman,times;">Part A: Arithmetic</span></strong></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The contextual nature of this question posed problems for many, though there were many fine attempts. Failure to discriminate between the sequence and series formulas was the cause of the most errors. The final part saw many able to substitute into the formula for the series, but then unable to continue. The use of the GDC in such situations is encouraged; either by graphing each side of the equation and drawing the resultant sketch or by the solver function.</span></p>
<div class="question_part_label">A.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><span style="font-family: times new roman,times; font-size: medium;">Part B: Geometric</span></strong></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The early straightforward parts were accessible to the majority. The context caused the problems with many choosing the incorrect value of <em>n</em> when using the formulas. Weaker candidates were more successful via counting. The context again proved challenging in the final part, with the incorrect time being determined from the correct value of <em>n</em>. Here, as in Part A, the use of the GDC by graphing each side of the equation is encouraged; however, if teachers feel that such questions require the use (and teaching) of logarithms, such an approach is, of course, given full credit.</span></p>
<div class="question_part_label">B.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><span style="font-family: times new roman,times; font-size: medium;">Part B: Geometric</span></strong></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The early straightforward parts were accessible to the majority. The context caused the problems with many choosing the incorrect value of <em>n</em> when using the formulas. Weaker candidates were more successful via counting. The context again proved challenging in the final part, with the incorrect time being determined from the correct value of <em>n</em>. Here, as in Part A, the use of the GDC by graphing each side of the equation is encouraged; however, if teachers feel that such questions require the use (and teaching) of logarithms, such an approach is, of course, given full credit.</span></p>
<div class="question_part_label">B.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><span style="font-family: times new roman,times; font-size: medium;">Part B: Geometric</span></strong></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The early straightforward parts were accessible to the majority. The context caused the problems with many choosing the incorrect value of <em>n</em> when using the formulas. Weaker candidates were more successful via counting. The context again proved challenging in the final part, with the incorrect time being determined from the correct value of <em>n</em>. Here, as in Part A, the use of the GDC by graphing each side of the equation is encouraged; however, if teachers feel that such questions require the use (and teaching) of logarithms, such an approach is, of course, given full credit.</span></p>
<div class="question_part_label">B.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><span style="font-family: times new roman,times; font-size: medium;">Part B: Geometric</span></strong></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The early straightforward parts were accessible to the majority. The context caused the problems with many choosing the incorrect value of <em>n</em> when using the formulas. Weaker candidates were more successful via counting. The context again proved challenging in the final part, with the incorrect time being determined from the correct value of <em>n</em>. Here, as in Part A, the use of the GDC by graphing each side of the equation is encouraged; however, if teachers feel that such questions require the use (and teaching) of logarithms, such an approach is, of course, given full credit.</span></p>
<div class="question_part_label">B.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><span style="font-family: times new roman,times; font-size: medium;">Part B: Geometric</span></strong></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The early straightforward parts were accessible to the majority. The context caused the problems with many choosing the incorrect value of <em>n</em> when using the formulas. Weaker candidates were more successful via counting. The context again proved challenging in the final part, with the incorrect time being determined from the correct value of <em>n</em>. Here, as in Part A, the use of the GDC by graphing each side of the equation is encouraged; however, if teachers feel that such questions require the use (and teaching) of logarithms, such an approach is, of course, given full credit.</span></p>
<div class="question_part_label">B.e.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">The following diagram shows a perfume bottle made up of a cylinder and a cone.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-22_om_07.37.58.png" alt></p>
<p class="p1">The radius of both the cylinder and the base of the cone is <span class="s1">3 cm</span>.</p>
<p class="p1">The height of the cylinder is <span class="s1">4.5 cm</span>.</p>
<p class="p1">The slant height of the cone is <span class="s1">4 cm</span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Show that the vertical height of the cone is \(2.65\)<span class="s1"> cm </span>correct to three significant figures.</p>
<p class="p1">(ii) Calculate the volume of the perfume bottle.</p>
<div class="marks">[6]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1"><span class="s1">The bottle contains \({\text{125 c}}{{\text{m}}^{\text{3}}}\) </span>of perfume. The bottle is <strong>not </strong>full and all of the perfume is in the cylinder part.</p>
<p class="p1">Find the height of the perfume in the bottle.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Temi makes some crafts with perfume bottles, like the one above, once they are empty. Temi wants to know the surface area of one perfume bottle.</p>
<p class="p1">Find the <strong>total </strong>surface area of the perfume bottle.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Temi covers the perfume bottles with a paint that costs 3 South African rand (ZAR) per millilitre. One millilitre of this paint covers an area of \({\text{7 c}}{{\text{m}}^{\text{2}}}\).</p>
<p class="p2"><span class="s1">Calculate the cost, in ZAR</span>, of painting the perfume bottle. <strong>Give your answer correct to two decimal places</strong>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Temi sells her perfume bottles in a craft fair for <span class="s1">325 ZAR </span>each. Dominique from France buys one and wants to know how much she has spent, in euros <span class="s1">(EUR)</span>. The exchange rate is 1 EUR = 13.03 ZAR<span class="s2">.</span></p>
<p class="p1">Find the price, in <span class="s1">EUR</span>, that Dominique paid for the perfume bottle. <strong>Give your answer </strong><strong>correct to two decimal places</strong>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) \({x^2} + {3^2} = {4^2}\) <strong><em>(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution into Pythagoras’ formula.</p>
<p>Accept correct alternative method using trigonometric ratios.</p>
<p> </p>
<p>\(x = 2.64575 \ldots \) <strong><em>(A1)</em></strong></p>
<p>\(x = 2.65{\text{ }}({\text{cm}})\) <strong><em>(AG)</em></strong></p>
<p><strong>Note: </strong>The unrounded and rounded answer must be seen for the <strong><em>(A1) </em></strong>to be awarded.</p>
<p> </p>
<p><strong>OR</strong></p>
<p>\(\sqrt {{4^2} - {3^2}} \) <strong><em>(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution into Pythagoras’ formula.</p>
<p> </p>
<p>\( = \sqrt 7 \) <strong><em>(A1)</em></strong></p>
<p>\( = 2.65{\text{ (cm)}}\) <strong><em>(AG)</em></strong></p>
<p><strong>Note: </strong>The exact answer must be seen for the final <strong><em>(A1) </em></strong>to be awarded.</p>
<p> </p>
<p>(ii) \(\pi \times {3^2} \times 4.5 + \frac{1}{3}\pi \times {3^2} \times 2.65\) <strong><em>(M1)(M1)(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution into the volume of a cylinder formula, <strong><em>(M1) </em></strong>for correct substitution into the volume of a cone formula, <strong><em>(M1) </em></strong>for adding both of their volumes.</p>
<p> </p>
<p>\( = 152{\text{ c}}{{\text{m}}^3}\;\;\;(152.210 \ldots {\text{ c}}{{\text{m}}^3},{\text{ }}48.45\pi {\text{ c}}{{\text{m}}^3})\) <strong><em>(A1)(G3)</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\pi {3^2}h = 125\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note:<span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for correct substitution into the volume of a cylinder formula.</p>
<p class="p1">Accept alternative methods. Accept \(4.43\)<span class="s1"> </span>(\(4.42913 \ldots \)) from using rounded answers in \(h = \frac{{125 \times 4.5}}{{127}}\).</p>
<p class="p2"> </p>
<p class="p1">\(h = 4.42{\text{ (cm)}}\;\;\;\left( {4.42097 \ldots {\text{ (cm)}}} \right)\) <span class="Apple-converted-space"> </span><strong><em>(A1)(G2)</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(2\pi \times 3 \times 4.5 + \pi \times 3 \times 4 + \pi \times {3^2}\) <strong><em>(M1)(M1)(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution into curved surface area of a cylinder formula, <strong><em>(M1) </em></strong>for correct substitution into the curved surface area of a cone formula, <strong><em>(M1) </em></strong>for adding the area of the base of the cylinder to the other two areas.</p>
<p> </p>
<p>\( = 151{\text{ c}}{{\text{m}}^2}\;\;\;(150.796 \ldots {\text{ c}}{{\text{m}}^2},{\text{ }}48\pi {\text{ c}}{{\text{m}}^2})\) <strong><em>(A1)(G3)</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{{150.796 \ldots }}{7} \times 3\) <span class="Apple-converted-space"> </span><strong><em>(M1)(M1)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for dividing their answer to (c) by \(7\), <strong><em>(M1) </em></strong>for multiplying by \(3\). Accept equivalent methods.</p>
<p class="p2"> </p>
<p class="p1">\( = 64.63{\text{ (ZAR)}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Notes: </strong>The <strong><em>(A1) </em></strong>is awarded for their correct answer, correctly rounded to <span class="s1">2 </span>decimal places. Follow through from their answer to part (c). If rounded answer to part (c) is used the answer is \(64.71\)<span class="s1"> (ZAR)</span>.</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{{325}}{{13.03}}\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for dividing \(325\)<span class="s1"> </span>by \(13.03\).</p>
<p class="p2"> </p>
<p class="p1">\( = 24.94{\text{ (EUR)}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)(G2)</em></strong></p>
<p class="p1"><strong>Note: </strong>The <strong><em>(A1) </em></strong>is awarded for the correct answer rounded to <span class="s1">2 </span>decimal places, unless already penalized in part (d).</p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A geometric sequence has second term 12 and fifth term 324.</span></p>
</div>
<div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Consider the following propositions</span></p>
<p style="margin-left: 30px;"><span style="font-size: medium; font-family: times new roman,times;"><em>p</em>: The number is a multiple of five.</span></p>
<p style="margin-left: 30px;"><span style="font-size: medium; font-family: times new roman,times;"><em>q</em>: The number is even.</span></p>
<p style="margin-left: 30px;"><span style="font-size: medium; font-family: times new roman,times;"><em>r</em>: The number ends in zero.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the value of the common ratio.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">i, a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the 10<sup>th</sup> term of this sequence.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">i, b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The <em>k</em><sup>th</sup> term is the first term which is greater than 2000. Find the value of <em>k</em>.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">i, c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write in words \((q \wedge \neg r) \Rightarrow \neg p\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">ii, a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Consider the statement “If the number is a multiple of five, and is not even then it will not end in zero”.</span></p>
<p><span>Write this statement in symbolic form.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">ii, b, i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Consider the statement “If the number is a multiple of five, and is not even then it will not end in zero”.</span></p>
<p><span>Write the contrapositive of this statement in symbolic form.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">ii, b, ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><em>u</em><sub>1</sub><em>r</em><sup>4</sup> = 324 <em><strong>(A1)</strong></em></span></p>
<p><span><em>u</em><sub>1</sub><em>r</em> = 12 <em><strong>(A1)</strong></em></span></p>
<p><span><em>r</em><sup>3</sup> = 27 <em><strong>(M1)</strong></em></span></p>
<p><span><em>r</em> = 3 <em><strong>(A1)(G3)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award at most <em><strong>(G3)</strong></em> for trial and error.</span></p>
<p><span> </span></p>
<p><em><strong><span>[4 marks]</span></strong></em></p>
<div class="question_part_label">i, a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>4 × 3<sup>9</sup> = 78732 <strong>or </strong>12 </span><span><span>× </span>3<sup>8</sup> = 78732 <em><strong>(A1)(M1)(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for <em>u</em><sub>1</sub> = 4 if<em> n</em> = 9 , <strong>or</strong> <em>u</em><sub>1</sub> = 12 if <em>n</em> = 8, <em><strong>(M1)</strong></em> for correctly substituted formula.</span></p>
<p><span><strong>(ft)</strong> from their (a).</span></p>
<p><span> </span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">i, b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>4 × 3<sup><em>k</em>−1</sup> > 2000 <em><strong>(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in correct formula. Accept an</span> <span>equation.</span></p>
<p><br><span><em>k</em> > 6 <em><strong>(A1)</strong></em></span></p>
<p><span><em>k</em> = 7 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><br><span><strong>Notes:</strong> If second line not seen award <em><strong>(A2)</strong></em> for correct answer. <strong>(ft)</strong> from</span> <span>their (a).</span></p>
<p><span>Accept a list, must see at least <strong>3 terms</strong> including the 6<sup>th</sup> and 7<sup>th</sup>.</span></p>
<p><br><span><strong>Note:</strong> If arithmetic sequence formula is used consistently in parts (a), (b)</span> <span>and (c), award <em><strong>(A0)(A0)(M0)(A0)</strong></em> for (a) and <strong>(ft)</strong> for parts (b) </span><span>and (c).</span></p>
<p><span> </span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">i, c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>If the number is even and the number does not end in zero, (then) the number is not a multiple of five. <em><strong>(A1)(A1)(A1)</strong></em><br></span></p>
<p><span> </span></p>
<p><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for “if…(then)”, <em><strong>(A1)</strong></em> for “the number is even and the number does not end in zero”, <em><strong>(A1)</strong></em> for the number is not a multiple of 5.</span></p>
<p><span> </span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">ii, a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\((p \wedge \neg q) \Rightarrow \neg r\) <em><strong>(A1)(A1)(A1)(A1)</strong></em></span></p>
<p><span><em><strong>(A1)</strong></em> <em>for</em> \(\Rightarrow\), <em><strong>(A1)</strong></em> <em>for</em> \(\wedge\), <em><strong>(A1)</strong></em> <em>for</em> p and \(\neg q\), <em><strong>(A1)</strong></em> <em>for</em> \(\neg r\)</span></p>
<p><br><span><strong>Note:</strong> If parentheses not present award at most <strong><em>(A1)(A1)(A1)(A0)</em></strong>.</span></p>
<p><span> </span></p>
<p><em><strong><span>[4 marks]</span></strong></em></p>
<p><br><span><br></span></p>
<div class="question_part_label">ii, b, i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(r \Rightarrow (\neg p \vee q)\) <strong>OR</strong> \(r \Rightarrow \neg (p \wedge \neg q)\) <strong><em>(A1)</em>(ft)<em>(A1)</em>(ft)</strong></span></p>
<p><span><span><br> </span><strong>Note:</strong> Award <strong><em>(A1)</em>(ft)</strong> for reversing the order, <strong><em>(A1)</em></strong> for negating the statements on both sides.</span></p>
<p><span>If parentheses not present award at most <strong><em>(A1)</em>(ft)<em>(A0)</em></strong>.</span></p>
<p><span>Do not penalise twice for missing parentheses in (i) and (ii).</span></p>
<p><span> </span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">ii, b, ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">An easy ratio to find and the majority of candidates found <em>r</em> = 3, though many had trouble showing the appropriate method, thus losing marks.</span></p>
<div class="question_part_label">i, a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">A fairly straightforward part for most candidates.</span></p>
<div class="question_part_label">i, b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The majority found <em>k</em> − 7; many without supporting work which lost them a mark. Where candidates had difficulty in this part, it was generally a case of poor algebraic skills.</span></p>
<div class="question_part_label">i, c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question on logic was straightforward for most candidates who scored full marks for parts (a) and (b) (i). A few omitted the brackets in part (b).</span></p>
<div class="question_part_label">ii, a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question on logic was straightforward for most candidates who scored full marks for parts (a) and (b) (i). A few omitted the brackets in part (b).</span></p>
<div class="question_part_label">ii, b, i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 10.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">Very poorly answered with many candidates scoring just one mark. The main error was to open the bracket and not use the “or”.</span></p>
<div class="question_part_label">ii, b, ii.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A greenhouse ABCDPQ is constructed on a rectangular concrete base ABCD and is made of glass. Its shape is a right prism, with cross section, ABQ, an isosceles triangle. The length of BC is 50 m, the length of AB is 10 m and the size of angle QBA is 35°.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img 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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the size of angle AQB.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the length of AQ.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the length of AC.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that the length of CQ is 50.37 m, correct to 4 significant figures.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the size of the angle AQC.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the total area of the glass needed to construct</span></p>
<p><span>(i) the two rectangular faces of the greenhouse;</span></p>
<p><span>(ii) the two triangular faces of the greenhouse.</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The cost of one square metre of glass used to construct the greenhouse is 4.80 USD.</span></p>
<p><span>Calculate the cost of glass to make the greenhouse. Give your answer correct to the nearest 100 USD.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>110° <em><strong>(A1)</strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{AQ}}{{\sin 35^\circ }} = \frac{{10}}{{\sin 110^\circ }}\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substituted sine rule formula, <em><strong>(A1)</strong></em> for their correct substitutions.</span></p>
<p><br><strong><span>OR</span></strong></p>
<p><span>\(AQ = \frac{5}{{\cos 35^\circ }}\) <em><strong>(A1)(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for 5 seen, <em><strong>(M1)</strong></em> for correctly substituted trigonometric ratio.</span></p>
<p><br><span>\(AQ = 6.10\) (6.10387...) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><br><strong>Notes:</strong> Follow through from their answer to part (a).<em><strong><br></strong></em></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(AC^2 = 10^2 + 50^2\) <em><strong>(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correctly substituted Pythagoras formula.</span></p>
<p><br><span>\(AC = 51.0 (\sqrt{2600}, 50.9901...)\) <em><strong>(A1)(G2)</strong></em></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(QC^2 = (6.10387...)^2 + (50)^2\) <em><strong>(M1)</strong></em></span><br><br></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correctly substituted Pythagoras formula.</span></p>
<p><br><span>\(QC = 50.3711...\) <em><strong>(A1)</strong></em></span></p>
<p><span>\(= 50.37\) <em><strong>(AG)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Both the unrounded and rounded answers must be seen to award <em><strong>(A1)</strong></em>. </span></p>
<p><span> If 6.10 is used then 50.3707... is the unrounded answer.</span></p>
<p><span> For an incorrect follow through from part (b) award a maximum of <em><strong>(M1)(A0)</strong></em> – the given answer must be reached to award the final<em><strong> (A1)(AG)</strong></em>.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\cos AQC = \frac{{{{(6.10387...)}^2} + {{(50.3711...)}^2} - {{(50.9901...)}^2}}}{{2(6.10387...)(50.3711...)}}\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong><br><br></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substituted cosine rule formula, <em><strong>(A1)</strong></em><strong>(ft)</strong> for their correct substitutions.</span></p>
<p><span><br>= 92.4</span><span>°</span><span> (\({92.3753...^\circ }\))</span><span> </span><em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></p>
<p><span><em><strong><br></strong></em><strong>Notes:</strong> Follow through from their answers to parts (b), (c) and (d). Accept 92.2 if the 3 sf answers to parts (b), (c) and (d) are used. </span></p>
<p><span> Accept 92.5°</span><span> (<span>\({92.4858...^\circ }\)</span><span>)</span> if the 3 sf answers to parts (b), (c) and 4 sf answers to part (d) used.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(2(50 \times 6.10387...)\) <em><strong>(M1)</strong></em><br><br></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for their correctly substituted rectangular area formula, the area of one rectangle is not sufficient.</span></p>
<p><br><span>= 610 m<sup>2</sup> (610.387...) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)<br><br></strong></em></span></p>
<p><span><strong>Notes:</strong> Follow through from their answer to part (b). </span></p>
<p><span> The answer is 610 m<sup>2</sup>. The units are required.</span></p>
<p><br><span>(ii) Area of triangular fa</span><span>ce \( = \frac{1}{2} \times 10 \times 6.10387... \times \sin 35^\circ \) </span> <span> <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong></span></p>
<p><strong><span>OR</span></strong></p>
<p><span>Area of triangular face \( = \frac{1}{2} \times 6.10387... \times 6.10387... \times \sin 110^\circ \) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span>\(= 17.5051...\)<br><br></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substituted triangle area formula, <em><strong>(A1)</strong></em><strong>(ft)</strong> for</span> <span>correct substitutions. <br></span></p>
<p><br><strong><span>OR</span></strong></p>
<p><span>(Height of triangle) \( = {(6.10387...)^2} - {5^2}\)</span><span><br></span></p>
<p><span>\(= 3.50103...\)</span></p>
<p><span>Area of triangular face \( = \frac{1}{2} \times 10 \times their{\text{ }} height\)<br></span></p>
<p><span>\(= 17.5051...\)<br></span></p>
<p> </p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substituted triangle area formula, <em><strong>(A1)</strong></em><strong>(ft)</strong> for correctly substituted area formula. If 6.1 is used, the height is 3.49428... and the area of both triangular faces 34.9 m<sup>2<br></sup></span></p>
<p><span> </span></p>
<p><span>Area of both triangular faces = 35.0 m<sup>2</sup></span><span> (35.0103...) <em><strong>(A1)(ft)(G2)</strong></em><br></span></p>
<p><span><strong> </strong></span></p>
<p><span><strong>Notes:</strong> The answer is 35.0 m<sup>2</sup>. The units are required. Do not penalize if already penalized in part (f)(i). Follow through from their part (b).</span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(610.387... + 35.0103...) × 4.80 <em><strong>(M1)</strong></em></span></p>
<p><span>= 3097.90... <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><br><span><strong>Notes:</strong> Follow through from their answers to parts (f)(i) and (f)(ii). </span></p>
<p><span> Accept 3096 if the 3 sf answers to part (f) are used.</span></p>
<p><span> </span></p>
<p><span>= 3100 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em> </span><br><br></p>
<p><span><strong>Notes:</strong> Follow through from their unrounded answer, irrespective of whether it is correct. Award <em><strong>(M1)(A2)</strong></em> if working is shown and 3100 seen without the unrounded answer being given.<br></span></p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates used the appropriate area formula – however, some did not read the question with the attention it required and found the area of three rectangles – one of which being the stated “concrete base”.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates used the appropriate area formula – however, some did not read the question with the attention it required and found the area of three rectangles – one of which being the stated “concrete base”.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates were able to recognize sine rule, substitute correctly and reach the required result.<br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates were able to recognize sine rule, substitute correctly and reach the required result. The use of Pythagoras’ theorem was also successful, the major source of error being the lack of unrounded and rounded answers in part (d).<br></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Again, most candidates used the appropriate area formula – however, some did not read the question with the attention it required and found the area of three rectangles – one of which being the stated “concrete base”.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates were able to recognize sine rule, substitute correctly and reach the required result. Part (e) was less well answered, due in part to the triangle being in three dimensions. However, all three sides had either been asked for in previous parts or given and all that was required was a sketch of a triangle with the vertices labelled; such a diagram was never on any script and this technique should be encouraged.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Again, most candidates used the appropriate area formula – however, some did not read the question with the attention it required and found the area of three rectangles – one of which being the stated “concrete base”.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates used the appropriate area formula – however, some did not read the question with the attention it required and found the area of three rectangles – one of which being the stated “concrete base”.</span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates used the appropriate area formula – however, some did not read the question with the attention it required and found the area of three rectangles – one of which being the stated “concrete base”.</span></p>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Leanne goes fishing at her favourite pond. The pond contains four different types of fish: bream, flathead, whiting and salmon. The fish are either undersized or normal. This information is shown in the table below.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the total number of fish in the pond.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Leanne catches a fish.</span></p>
<p><span>Find the probability that she</span></p>
<p><span>(i) catches an undersized bream;</span></p>
<p><span>(ii) catches either a flathead or an undersized fish or both;</span></p>
<p><span>(iii) does not catch an undersized whiting;</span></p>
<p><span>(iv) catches a whiting given that the fish was normal.</span></p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Leanne notices that on windy days, the probability she catches a fish is 0.1 while on non-windy days the probability she catches a fish is 0.65. The probability that it will be windy on a particular day is 0.3.</span></p>
<p><span><strong>Copy and complete</strong> the probability tree diagram below.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><span>Leanne notices that on windy days, the probability she catches a fish is 0.1 while on non-windy days the probability she catches a fish is 0.65. The probability that it will be windy on a particular day is 0.3.</span></span></p>
<p><span>Calculate the probability that it is windy and Leanne catches a fish on a particular day.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><span>Leanne notices that on windy days, the probability she catches a fish is 0.1 while on non-windy days the probability she catches a fish is 0.65. The probability that it will be windy on a particular day is 0.3.</span></span></p>
<p><span>Calculate the probability that Leanne catches a fish on a particular day.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your answer to part (e) to calculate the probability that Leanne catches a fish on two consecutive days.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><span>Leanne notices that on windy days, the probability she catches a fish is 0.1 while on non-windy days the probability she catches a fish is 0.65. The probability that it will be windy on a particular day is 0.3.</span></span></p>
<p><span>Given that Leanne catches a fish on a particular day, calculate the probability that the day was windy.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>90 <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]</strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(\frac{3}{{90}}(0.0\bar 3,{\text{ }}0.0333,{\text{ }}0.0333...,{\text{ }}3.\bar 3\% ,{\text{ }}3.33\% )\) <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong>Note:</strong> For the denominator follow through from their answer in part (a).</span></p>
<p><br><span>(ii) \(\frac{{53}}{{90}}(0.5\bar 8,{\text{ }}0.588...,{\text{ }}0.589,{\text{ }}58.\bar 8\% ,{\text{ }}58.9\% )\) <em><strong>(A1)(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(A1)</strong></em> for the numerator. <em><strong>(A1)</strong></em><strong>(ft)</strong> for denominator. For the denominator follow through from their answer in part (a).</span></p>
<p><br><span>(iii) \(\frac{{72}}{{90}}{\text{(0.8, 80}}\%)\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for the numerator, (their part (a) –18) <strong><em>(A1)</em>(ft)</strong> for denominator. For the denominator follow through from their answer in part (a).</span></p>
<p><br><span><span>(iv) </span><span>\(\frac{{24}}{{48}}(0.5,{\text{ 50}}\% )\)</span> <em><strong>(A1)(A1)(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for numerator, <em><strong>(A1)</strong></em> for denominator.</span></p>
<p><span> </span></p>
<p><span><span><em><strong>[7 marks]</strong></em></span> </span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><img src="data:image/png;base64,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" alt><span> </span></span><span> <em><strong><span>(A1)(A1)(A1)</span><br></strong></em><br><span><strong>Notes:</strong> Award <em><strong>(A1)</strong></em> for each correct entry. Tree diagram must be seen for marks to be awarded.<em><strong><br></strong></em></span></span></p>
<p><span><em><strong>[3 marks]</strong></em></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(0.3 \times 0.1 = 0.03\left( {\frac{3}{{100}}} \right)\)</span><em><strong><span> (M1)(A1)(G2)</span></strong></em></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct product seen.</span><em><strong><span><br></span></strong></em></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(0.3 \times 0.1+ 0.7\times0.65\) <em><strong>(M1)(M1)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for \(0.7\times0.65\) (or 0.455) seen, <em><strong>(M1)</strong></em> for adding their 0.03. Follow through from their answers to parts (c) and (d).</span></p>
<p><br><span>\( = 0.485\left( {\frac{{485}}{{1000}},\frac{{97}}{{200}}} \right)\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Follow through from their tree diagram and their answer to part (d).</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(0.485 \times 0.485\) <em><strong>(M1)</strong></em></span></p>
<p><span>\(0.235\left( {\frac{{9409}}{{40000}}{\text{, }}0.235225} \right)\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Follow through from their answer to part (e).</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{0.03}}{{0.485}}\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for substituted conditional probability formula, <em><strong>(A1)</strong></em><strong>(ft)</strong> for their (d) as numerator and their (e) as denominator.</span><br><br><span>\(0.0619\left( {\frac{{6}}{{97}}}\text{, 0.0618556...} \right) \) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Follow through from their parts (d) and (e).</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(a) Most candidates found this correctly although a few wrote 180 instead of 90.</span></p>
<p> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(b) This was also answered well. The main errors were putting 65/90 in part (ii) and</span> <span style="font-size: medium; font-family: times new roman,times;">24/90 in part (iv).</span></p>
<p> </p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(c) The tree diagram was completed correctly in most scripts. It appears that some </span><span style="font-size: medium; font-family: times new roman,times;">candidates may have answered this on their question paper and this was not sent to </span><span style="font-size: medium; font-family: times new roman,times;">the scanning centre with the answer papers.</span></p>
<p> </p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(d) Many answered this correctly. Some added instead of multiplying.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(e) Surprisingly well answered. Again some added and multiplied in the wrong place.</span></p>
<p> </p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(f) Most candidates added here and then divided by 2 rather than multiplying.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(g) This was badly done with very few correct answers seen.</span></p>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">A closed rectangular box has a height \(y{\text{ cm}}\) and width \(x{\text{ cm}}\). Its length is twice its width. It has a fixed outer surface area of \(300{\text{ c}}{{\text{m}}^2}\) .</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Factorise \(3{x^2} + 13x - 10\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Solve the equation \(3{x^2} + 13x - 10 = 0\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Consider a function \(f(x) = 3{x^2} + 13x - 10\) .</span></p>
<p><span>Find the equation of the axis of symmetry on the graph of this function.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Consider a function \(f(x) = 3{x^2} + 13x - 10\) .</span></p>
<p><span>Calculate the minimum value of this function.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">i.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that \(4{x^2} + 6xy = 300\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find an expression for \(y\) in terms of \(x\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">ii.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Hence show that the volume \(V\) of the box is given by \(V = 100x - \frac{4}{3}{x^3}\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">ii.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find \(\frac{{{\text{d}}V}}{{{\text{d}}x}}\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">ii.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>(i) Hence find the value of \(x\) and of \(y\) required to make the volume of the box a maximum.</span></p>
<p><span>(ii) Calculate the maximum volume.</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">ii.e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\((3x - 2)(x + 5)\) <em><strong>(A1)(A1)</strong></em></span></p>
<p><span><em><strong>[2 marks]<br></strong></em></span></p>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\((3x - 2)(x + 5) = 0\)</span></p>
<p><span>\(x = \frac{2}{3}\) or \(x = - 5\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><em><strong>[2 marks]<br></strong></em></span></p>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(x = \frac{{ - 13}}{6}{\text{ }}( - 2.17)\) <em><strong>(A1)(A1)</strong></em><strong>(ft)<em>(G2)</em></strong></span></p>
<p><br><span><strong>Note: <em>(A1)</em></strong> is for \(x = \), <em><strong>(A1)</strong></em> for value. <strong>(ft)</strong> if value is half way between roots in (b).</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Minimum \(y = 3{\left( {\frac{{ - 13}}{6}} \right)^2} + 13\left( {\frac{{ - 13}}{6}} \right) - 10\) <em><strong>(M1)</strong></em></span><br><br><span><strong>Note: <em>(M1)</em></strong> for substituting their value of \(x\) from (c) into \(f(x)\) .</span></p>
<p><br><span>\( = - 24.1\) <em><strong>(A1)</strong></em><strong>(ft)<em>(G2)</em></strong></span></p>
<p><span><strong><em>[2 marks]<br></em></strong></span></p>
<div class="question_part_label">i.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{Area}} = 2(2x)x + 2xy + 2(2x)y\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><br><span><strong>Note: <em>(M1)</em></strong> for using the correct surface area formula (which can</span> <span>be implied if numbers in the correct place). <em><strong>(A1)</strong></em> for using correct numbers.</span><br><br></p>
<p><span>\(300 = 4{x^2} + 6xy\) <em><strong>(AG)</strong></em></span></p>
<p><span><span><strong><br>Note: </strong>Final line must be seen or previous</span> <span><em><strong>(A1)</strong></em> mark is lost.</span></span></p>
<p><span><span><em><strong>[2 marks]</strong></em><br></span></span></p>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(6xy = 300 - 4{x^2}\) <em><strong>(M1)</strong></em></span></p>
<p><span>\(y = \frac{{300 - 4{x^2}}}{{6x}}\) <em>or</em> \(\frac{{150 - 2{x^2}}}{{3x}}\) <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[2 marks]<br></strong></em></span></p>
<div class="question_part_label">ii.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{Volume}} = x(2x)y\) <em><strong>(M1)</strong></em></span></p>
<p><span>\(V = 2{x^2}\left( {\frac{{300 - 4{x^2}}}{{6x}}} \right)\) <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span>\( = 100x - \frac{4}{3}{x^3}\) <strong>(AG)</strong></span></p>
<p><br><span><strong>Note: </strong>Final line must be seen or previous <em><strong>(A1)</strong></em> mark is lost.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">ii.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{{\text{d}}V}}{{{\text{d}}x}} = 100 - \frac{{12{x^2}}}{3}\) or \(100 - 4{x^2}\) <em><strong>(A1)(A1)</strong></em></span></p>
<p><span><em><strong> </strong></em><strong>Note: <em>(A1)</em></strong> for each term.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">ii.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>Unit penalty <strong>(UP)</strong> is applicable where indicated in the left hand column</em></span></p>
<p><span>(i) For maximum \(\frac{{{\text{d}}V}}{{{\text{d}}x}} = 0\) or \(100 - 4{x^2} = 0\) <em><strong>(M1)</strong></em></span></p>
<p><span>\(x = 5\) <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span>\(y = \frac{{300 - 4{{(5)}^2}}}{{6(5)}}\) or \(\left( {\frac{{150 - 2{{(5)}^2}}}{{3(5)}}} \right)\) <em><strong>(M1)</strong></em></span></p>
<p><span>\( = \frac{{20}}{3}\) <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><em><strong>(UP)</strong></em> (ii) \(333\frac{1}{3}{\text{ c}}{{\text{m}}^3}{\text{ }}(333{\text{ c}}{{\text{m}}^3})\)</span></p>
<p><span><strong><br>Note: (ft)</strong> from their (e)(i) if working for volume is seen.</span></p>
<p><span><em><strong>[5 marks]</strong></em><br></span></p>
<div class="question_part_label">ii.e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates made a good attempt to factorise the expression.</span></p>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Many gained both marks here from a correct answer or ft from the previous part.</span></p>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Many used the formula correctly. Some forgot to put \(x = \)</span> .</p>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates found this value from their GDC.</span></p>
<div class="question_part_label">i.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">A good attempt was made to show the correct surface area.</span></p>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Many could rearrange the equation correctly.</span></p>
<div class="question_part_label">ii.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Although this was not a difficult question it probably looked complicated for the candidates and it was often left out.</span></p>
<div class="question_part_label">ii.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Those who reached this length could usually manage the differentiation.</span></p>
<div class="question_part_label">ii.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">(i) Many found the correct value of \(x\) but not of \(y\).</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">(ii) This was well done and again the units were included in most scripts.</span></p>
<div class="question_part_label">ii.e.</div>
</div>
<br><hr><br><div class="specification">
<p><strong><span style="font-size: medium; font-family: times new roman,times;">Give all answers in this question to the nearest whole currency unit.</span></strong></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Ying and Ruby each have 5000 USD to invest.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Ying invests his 5000 USD in a bank account that pays a nominal annual interest rate of 4.2 % <strong>compounded yearly</strong>. Ruby invests her 5000 USD in an account that offers a fixed interest of 230 USD each year.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the amount of money that Ruby will have in the bank after 3 years.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that Ying will have 7545 USD in the bank at the end of 10 years.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the number of complete years it will take for Ying’s investment to first exceed 6500 USD.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the number of complete years it will take for Ying’s investment to exceed Ruby’s investment.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Ruby moves from the USA to Italy. She transfers 6610 USD into an Italian bank which has an exchange rate of 1 USD = 0.735 Euros. The bank charges 1.8 % commission.</span></p>
<p><span>Calculate the amount of money Ruby will invest in the Italian bank after commission.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Ruby returns to the USA for a short holiday. She converts 800 Euros at a bank in Chicago and receives 1006.20 USD. The bank advertises an exchange rate of 1 Euro = 1.29 USD.</span></p>
<p><span>Calculate the percentage commission Ruby is charged by the bank.</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>5000 + 3 × 230 = 5690 <em><strong>(M1)(A1)(G2)</strong></em></span></p>
<p> </p>
<p><span><strong>Note:</strong> Accept alternative method.</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{A}} = 5000{\left( {1 + \frac{{4.2}}{{100}}} \right)^{10}}\) <em>or equivalent</em> <em><strong>(M1)(A1)</strong></em></span></p>
<p><span>\( = 7544.79 \ldots \) <em><strong>(A1)</strong></em></span></p>
<p><span>\( = 7545{\text{ USD}}\) <em><strong>(AG)</strong></em></span></p>
<p><span><em><strong> </strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substituted compound interest formula, <em><strong>(A1)</strong></em> for correct substitutions, <em><strong>(A1)</strong></em> for unrounded answer seen.</span></p>
<p><span>If final line not seen award at most <em><strong>(M1)(A1)(A0)</strong></em>.</span></p>
<p><span> </span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>5000(1.042)<sup><em>n</em> </sup>> 6500 <em><strong>(M1)(A1)</strong></em></span></p>
<p> </p>
<p><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for setting up correct equation/inequality, <em><strong>(A1)</strong></em> for correct values.</span></p>
<p><span>Follow through from their formula in part (b).</span></p>
<p> </p>
<p><strong><span>OR</span></strong></p>
<p><span>List of values seen with at least 2 terms <em><strong>(M1)</strong></em></span></p>
<p><span>Lists of values including at least the terms with <em>n</em> = 6 and <em>n</em> = 7 <em><strong>(A1)</strong></em></span></p>
<p> </p>
<p><span><strong>Note:</strong> Follow through from their formula in part (b).</span></p>
<p> </p>
<p><strong><span>OR</span></strong></p>
<p><span>Sketch showing 2 graphs, one exponential, the other a horizontal line <em><strong>(M1)</strong></em></span></p>
<p><span>Point of intersection identified or vertical line <em><strong>(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Follow through from their formula in part (b).</span></p>
<p><br><span><em>n</em> = 7 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span> </span></p>
<p><span><em><strong>[3 marks]</strong></em></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>5000(1.042)<sup><em>n</em></sup> > 5000 + 230<em>n</em> <em><strong>(M1)(A1)</strong></em></span></p>
<p> </p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for setting up correct equation/inequality, <em><strong>(A1)</strong></em> for correct values.</span></p>
<p> </p>
<p><strong><span>OR</span></strong></p>
<p><span>2 lists of values seen (at least 2 terms per list) <em><strong>(M1)</strong></em></span></p>
<p><span>Lists of values including at least the terms with <em>n</em> = 5 and <em>n</em> = 6 <em><strong>(A1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> One of the lists may be written under (c).</span></p>
<p><br><strong><span>OR</span></strong></p>
<p><span>Sketch showing 2 graphs of correct shape <em><strong>(M1)</strong></em></span></p>
<p><span>Point of intersection identified or vertical line <em><strong>(M1)</strong></em></span></p>
<p><span><em>n</em> = 6 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Follow through from their formulae used in parts (a) and (b).</span></p>
<p><span> </span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>6610 × 0.735 <em><strong>(M1)</strong></em></span></p>
<p><span>= 4858.35 <em><strong>(A1)</strong></em></span></p>
<p><span>4858.35 × 0.982(= 4770.8997...) <em><strong>(M1)</strong></em></span></p>
<p><span>= 4771 Euros <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p> </p>
<p><span><strong>Note:</strong> Accept alternative method.</span></p>
<p><span> </span></p>
<p><em><strong><span>[4 marks]</span></strong></em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>800 × 1.29 (= 1032 USD) <em><strong>(M1)(A1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for multiplying by 1.29, <em><strong>(A1)</strong></em> for 1032. Award <em><strong>(G2)</strong></em> for 1032 if product not seen.</span></p>
<p><br><span>(1032 – 1006.20 = 25.8)</span></p>
<p><span>\(25.8 \times \frac{100}{1032} \%\) <em><strong>(A1)(M1)</strong></em></span></p>
<p> </p>
<p><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for 25.8 seen, <em><strong>(M1)</strong></em> for multiplying by \(\frac{100}{1032}\).</span></p>
<p> </p>
<p><strong><span>OR</span></strong></p>
<p><span>\(\frac{1006.20}{1032} = 0.975\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><strong><span>OR</span></strong></p>
<p><span>\(\frac{1006.20}{1032} \times 100 = 97.5\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span>\( = 2.5{\text{ }}\% \) <em><strong>(A1)(G3)</strong></em></span></p>
<p> </p>
<p><span><strong>Notes:</strong> If working not shown award <em><strong>(G3)</strong></em> for 2.5.</span></p>
<p><span>Accept alternative method.</span></p>
<p><span> </span></p>
<p><em><strong><span>[5 marks]</span></strong></em></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Most of the students read carefully the instruction written in the heading of the question and therefore gave their answers with the accuracy stated but some did not. </span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Simple interest was well done as well as compound interest with only a small minority of candidates making no progress. A number of students lost the answer mark in (b) for not showing the unrounded answer before writing the answer given. It is also important to mention that calculator commands are not accepted as correct working and therefore full marks are not awarded. Also, some candidates wrote their answers without showing any working leading to a number of marks being lost.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Most of the students read carefully the instruction written in the heading of the question and therefore gave their answers with the accuracy stated but some did not. </span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Simple interest was well done as well as compound interest with only a small minority of candidates making no progress. A number of students lost the answer mark in (b) for not showing the unrounded answer before writing the answer given. It is also important to mention that calculator commands are not accepted as correct working and therefore full marks are not awarded. Also, some candidates wrote their answers without showing any working leading to a number of marks being lost.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Most of the students read carefully the instruction written in the heading of the question and therefore gave their answers with the accuracy stated but some did not. </span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Simple interest was well done as well as compound interest with only a small minority of candidates making no progress. A number of students lost the answer mark in (b) for not showing the unrounded answer before writing the answer given. It is also important to mention that calculator commands are not accepted as correct working and therefore full marks are not awarded. Also, some candidates wrote their answers without showing any working leading to a number of marks being lost.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Most of the students read carefully the instruction written in the heading of the question and therefore gave their answers with the accuracy stated but some did not. </span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Simple interest was well done as well as compound interest with only a small minority of candidates making no progress. A number of students lost the answer mark in (b) for not showing the unrounded answer before writing the answer given. It is also important to mention that calculator commands are not accepted as correct working and therefore full marks are not awarded. Also, some candidates wrote their answers without showing any working leading to a number of marks being lost.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">It was nice to see many students recovering after part (d) and to gain full marks in the last two parts of the question.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Most of the students read carefully the instruction written in the heading of the question and therefore gave their answers with the accuracy stated but some did not. </span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Simple interest was well done as well as compound interest with only a small minority of candidates making no progress. A number of students lost the answer mark in (b) for not showing the unrounded answer before writing the answer given. It is also important to mention that calculator commands are not accepted as correct working and therefore full marks are not awarded. Also, some candidates wrote their answers without showing any working leading to a number of marks being lost.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">It was nice to see many students recovering after part (d) and to gain full marks in the last two parts of the question.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Most of the students read carefully the instruction written in the heading of the question and therefore gave their answers with the accuracy stated but some did not. </span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Simple interest was well done as well as compound interest with only a small minority of candidates making no progress. A number of students lost the answer mark in (b) for not showing the unrounded answer before writing the answer given. It is also important to mention that calculator commands are not accepted as correct working and therefore full marks are not awarded. Also, some candidates wrote their answers without showing any working leading to a number of marks being lost.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">It was nice to see many students recovering after part (d) and to gain full marks in the last two parts of the question.</span></p>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;"><em>Give all answers in this question correct to the <strong>nearest</strong> dollar.</em></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Clara wants to buy some land. She can choose between two different payment options. Both options require her to pay for the land in <strong>20</strong> monthly installments.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Option 1: The first installment is \(\$ 2500\). Each installment is \(\$ 200\) more than the one before.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Option 2: The first installment is \(\$ 2000\). Each installment is \(8\% \) more than the one before.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>If Clara chooses option 1,</span></p>
<p><span>(i) write down the values of the second and third installments;</span></p>
<p><span>(ii) calculate the value of the final installment;</span></p>
<p><span>(iii) show that the <strong>total amount</strong> that Clara would pay for the land is \(\$ 88000\).</span></p>
<div class="marks">[7]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>If Clara chooses option 2,</span></p>
<p><span>(i) find the value of the second installment;</span></p>
<p><span>(ii) show that the value of the fifth installment is \(\$ 2721\).</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The price of the land is \(\$ 80000\). In option 1 her total repayments are \(\$ 88000\) over the <strong>20</strong> months. Find the annual rate of simple interest which gives this total.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Clara knows that the<strong> total amount</strong> she would pay for the land is not the same for both options. She wants to spend the least amount of money. Find how much she will save by choosing the cheaper option.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>(i) Second installment \( = \$ 2700\) <em><strong>(A1)</strong></em></span></p>
<p><span>Third installment \( = \$ 2900\) <em><strong>(A1)</strong></em></span></p>
<p><span>(ii) Final installment \( = 2500 + 200 \times 19\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong><br>Note: <em>(M1)</em></strong> for substituting in correct formula or listing, <em><strong>(A1)</strong></em> for correct substitutions.</span></p>
<p><br><span>\( = \$ 6300\) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span>(iii) Total amount \( = \frac{{20}}{2}(2500 + 6300)\)</span></p>
<p><span><strong>OR</strong></span></p>
<p><span>\( \frac{{20}}{2}(5000 + 19 \times 200)\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong><br>Note: <em>(M1)</em></strong> for substituting in correct formula or listing, <em><strong>(A1)</strong></em> for correct substitution.</span></p>
<p><br><span>\( = \$ 88000\) <em><strong>(AG)</strong></em></span></p>
<p><span><span><strong>Note: </strong>Final line must be seen or previous</span><span> <em><strong>(A1)</strong></em> mark is lost.</span></span></p>
<p><span><span><em><strong>[7 marks]</strong></em><br></span></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) Second installment \(2000 \times 1.08 = \$ 2160\) <em><strong>(M1)(A1)(G2)</strong></em></span></p>
<p><span><strong><br>Note: <em>(M1)</em></strong> for multiplying by \(1.08\) or equivalent, <em><strong>(A1)</strong></em> for correct answer.</span></p>
<p><br><span>(ii) Fifth installment \( = 2000 \times {1.08^4} = 2720.98 = \$ 2721\) <em><strong>(M1)(A1)(AG)</strong></em></span></p>
<p><span><strong><br>Notes: <em>(M1)</em></strong> for correct formula used with numbers from the problem. <em><strong>(A1)</strong></em> for correct substitution. The \(2720.9 \ldots \) must be seen for the <em><strong>(A1)</strong></em> mark to be awarded.</span> <span>Accept list of 5 correct values. If values are rounded prematurely award <em><strong>(M1)(A0)(AG)</strong></em>.</span></p>
<p><span><em><strong>[4 marks]</strong></em><br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Interest is \( = \$ 8000\) <em><strong>(A1)</strong></em></span></p>
<p><span>\(80000 \times \frac{r}{{100}} \times \frac{{20}}{{12}} = 8000\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong>Note: <em>(M1)</em></strong> for attempting to substitute in simple interest formula, <em><strong>(A1)</strong></em> for correct substitution.</span></p>
<p><br><span>Simple Interest Rate \( = 6\% \) <em><strong>(A1)(G3)<br><br></strong></em></span></p>
<p><span><strong>Note: </strong>Award <em><strong>(G3)</strong></em> for answer of \(6\% \) with no working present if interest is also seen award <em><strong>(A1)</strong></em> for interest and <em><strong>(G2)</strong></em> for correct answer.</span></p>
<p><span><em><strong>[4 marks]</strong></em><br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>Financial accuracy penalty <strong>(FP)</strong> is applicable where indicated in the left hand column.</em></span></p>
<p><span><em><strong>(FP)</strong></em> Total amount for option 2 \( = 2000\frac{{(1 - {{1.08}^{20}})}}{{(1 - 1.08)}}\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong><br>Note: <em>(M1)</em></strong> for substituting in correct formula, <em><strong>(A1)</strong></em> for correct substitution.</span></p>
<p><br><span>\( = \$ 91523.93\) (\( = \$ 91524\)) <em><strong>(A1)</strong></em></span><br><span>\(91523.93 - 88000 = \$ 3523.93 = \$ 3524\) to the nearest dollar <em><strong>(A1)</strong></em><strong>(ft)<em>(G3)</em></strong></span></p>
<p><span><strong><br>Note: </strong>Award <em><strong>(G3)</strong></em> for an answer of \(\$ 3524\) with no working. The difference follows through from the sum, if reasonable. Award a maximum of <strong><em>(M1)(A0)(A0)(A1)</em>(ft)</strong> if candidate has treated option 2 as an arithmetic sequence and has followed through into their common difference. Award a maximum of <em><strong>(M1)(A1)(A0)</strong></em><strong>(ft)</strong><em><strong>(A0)</strong></em> if candidate has consistently used \(0.08\) in (b) and (d).</span></p>
<p><span><em><strong>[4 marks]</strong></em><br></span></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question was answered correctly by many. Candidates were able to restart if they failed to complete a particular part. Many candidates wasted much time because their understanding was limited to a recursive method and hence wrote out all the terms rather than using the formula for the nth term or sum. A surprising number of students were not able to use the simple interest formula for a period which was not a whole number of years. Also hardly anyone knew to calculate interest first before substituting into the formula. Many students who attempted part (d) lost a point due to FP. A number of students rounded their answers prematurely to the nearest dollar.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question was answered correctly by many. Candidates were able to restart if they failed to complete a particular part. Many candidates wasted much time because their understanding was limited to a recursive method and hence wrote out all the terms rather than using the formula for the nth term or sum. A surprising number of students were not able to use the simple interest formula for a period which was not a whole number of years. Also hardly anyone knew to calculate interest first before substituting into the formula. Many students who attempted part (d) lost a point due to FP. A number of students rounded their answers prematurely to the nearest dollar.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question was answered correctly by many. Candidates were able to restart if they failed to complete a particular part. Many candidates wasted much time because their understanding was limited to a recursive method and hence wrote out all the terms rather than using the formula for the nth term or sum. A surprising number of students were not able to use the simple interest formula for a period which was not a whole number of years. Also hardly anyone knew to calculate interest first before substituting into the formula. Many students who attempted part (d) lost a point due to FP. A number of students rounded their answers prematurely to the nearest dollar.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question was answered correctly by many. Candidates were able to restart if they failed to complete a particular part. Many candidates wasted much time because their understanding was limited to a recursive method and hence wrote out all the terms rather than using the formula for the nth term or sum. A surprising number of students were not able to use the simple interest formula for a period which was not a whole number of years. Also hardly anyone knew to calculate interest first before substituting into the formula. Many students who attempted part (d) lost a point due to FP. A number of students rounded their answers prematurely to the nearest dollar.</span></p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">A geometric sequence has \(1024\) as its first term and \(128\) as its fourth term.</span></p>
</div>
<div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Consider the arithmetic sequence \(1{\text{, }}4{\text{, }}7{\text{, }}10{\text{, }}13{\text{, }} \ldots \)</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that the common ratio is \(\frac{1}{2}\) .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">A.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the value of the eleventh term.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">A.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the sum of the first eight terms.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">A.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the number of terms in the sequence for which the <strong>sum</strong> first exceeds \(2047.968\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">A.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the value of the eleventh term.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">B.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The sum of the first \(n\) terms of this sequence is \(\frac{n}{2}(3n - 1)\).</span></p>
<p><span>(i) Find the sum of the first 100 terms in this arithmetic sequence.</span></p>
<p><span>(ii) The sum of the first \(n\) terms is \(477\).</span></p>
<p><span> (a) Show that \(3{n^2} - n - 954 = 0\) .</span></p>
<p><span> (b) Using your graphic display calculator or otherwise, find the number of terms, \(n\) .</span></p>
<div class="marks">[6]</div>
<div class="question_part_label">B.b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(1024{r^3} = 128\) <em><strong>(M1)</strong></em></span></p>
<p><span>\({r^3} = \frac{1}{8}\) <strong>or</strong> \(r = \sqrt[3]{{\frac{1}{8}}}\) <em><strong>(M1)</strong></em></span></p>
<p><span>\(r = \frac{1}{2}{\text{ }}(0.5)\) <em><strong>(AG)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award at most <em><strong>(M1)(M0)</strong></em> if last line not seen. Award <em><strong>(M1)(M0)</strong></em> if \(128\) is found by repeated multiplication (division) of \(1024\) by \(0.5\) \((2)\).</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">A.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(1024 \times {0.5^{10}}\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into correct formula. Accept an equivalent method.</span></p>
<p><span> </span></p>
<p><span><span>1 </span><span> <em><strong>(A1)(G2)</strong></em></span></span></p>
<p><span><span><em><strong>[2 marks]<br></strong></em></span></span></p>
<div class="question_part_label">A.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({S_8} = \frac{{1024\left( {1 - {{\left( {\frac{1}{2}} \right)}^8}} \right)}}{{1 - \frac{1}{2}}}\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into the correct formula, <em><strong>(A1)</strong></em> for correct substitution.</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p><span><em><strong>(A1)</strong></em> for complete and correct list of eight terms <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>(M1)</strong></em> for their eight terms added <em><strong>(M1)</strong></em></span></p>
<p><span><span>\({S_8} = 2040\) </span><span> <em><strong>(A1)(G2)</strong></em></span></span></p>
<p><span><span><em><strong>[3 marks]<br></strong></em></span></span></p>
<div class="question_part_label">A.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{1024\left( {1 - {{\left( {\frac{1}{2}} \right)}^n}} \right)}}{{1 - \frac{1}{2}}} > 2047.968\) <strong><em>(M1)(M1)</em>(ft)</strong></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into the correct formula for the sum, <em><strong>(M1)</strong></em> for comparing to \(2047.968\) . Accept equation. Follow through from their expression for the sum used in part (c).</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p><span>If a list is used: \({S_{15}} = 2047.9375\) <em><strong>(M1)</strong></em></span></p>
<p><span>\({S_{16}} = 2047.96875\) <em><strong>(M1)</strong></em></span></p>
<p><span>\(n = 16\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Follow through from their expression for the sum used in part (c).</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">A.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{common difference}} = 3\) (may be implied) <em><strong>(A1)</strong></em></span></p>
<p><span>\({u_{11}} = 31\) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><em><strong>[2 marks]<br></strong></em></span></p>
<div class="question_part_label">B.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(\frac{{100}}{2}(3 \times 100 - 1)\) <strong>OR</strong> \(\frac{{100(2 + 99 \times 3)}}{2}\) <em><strong>(M1)</strong></em></span></p>
<p><span> \(14 950\) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><em><strong> </strong></em></span></p>
<p><span>(ii) (a) \(\frac{n}{2}(3n - 1) = 477\) <strong>OR</strong> \(\frac{n}{2}(2 + 3(n - 1)) = 477\) <em><strong>(M1)</strong></em></span></p>
<p><span> \(3{n^2} - n = 954\) <em><strong>(M1)</strong></em></span></p>
<p><span> \(3{n^2} - n - 954 = 0\) <em><strong>(AG)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award second <em><strong>(M1)</strong></em> for correct removal of denominator or brackets and no further incorrect </span><span>working seen. Award at most</span></p>
<p><span><em><strong>(M1)(M0)</strong></em> if last line not seen.</span></p>
<p> </p>
<p><span> (b) \(18\) <em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> If both solutions to the quadratic equation are seen and the correct value is not identified as the required answer, award <em><strong>(G1)(G0)</strong></em>.</span></p>
<p><span> </span></p>
<p><span><em><strong>[6 marks]</strong></em><br></span></p>
<div class="question_part_label">B.b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;"><strong>Part A: Geometric sequences/series</strong></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority of the candidates were not able to offer a satisfactory justification in a) and only scored 1 mark. </span></p>
<div class="question_part_label">A.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;"><strong>Part A: Geometric sequences/series</strong></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Parts b) and c) were mostly well answered.</span></p>
<div class="question_part_label">A.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;"><strong>Part A: Geometric sequences/series</strong></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Parts b) and c) were mostly well answered. </span></p>
<div class="question_part_label">A.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;"><strong>Part A: Geometric sequences/series</strong></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"> The responses to part d) were often weak. Those candidates who set up the equation scored two marks but very few of</span> <span style="font-family: times new roman,times; font-size: medium;">them were able to reach the correct final answer.</span></p>
<div class="question_part_label">A.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;"><strong>Part B: Arithmetic sequences/series</strong></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Parts a), and b)(i) were mostly answered correctly. <br></span></p>
<div class="question_part_label">B.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;"><strong>Part B: Arithmetic sequences/series</strong></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Parts a), and b)(i) were mostly answered correctly. Parts b)(ii)a) and b)(ii)b) were poorly answered. Many candidates did not know how to approach the “show that” question. A few were able to solve the quadratic equation using the GDC. Those who attempted to solve it without the GDC generally failed to find the correct answer.</span></p>
<div class="question_part_label">B.b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Jenny has a circular cylinder with a lid. The cylinder has height 39 <strong>cm</strong> and diameter 65 <strong>mm</strong>.</span></p>
</div>
<div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">An old tower (BT) leans at 10° away from the vertical (represented by line TG).</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The base of the tower is at B so that \({\text{M}}\hat {\rm B}{\text{T}} = 100^\circ \).</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Leonardo stands at L on flat ground 120 m away from B in the direction of the lean.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">He measures the angle between the ground and the top of the tower T to be \({\text{B}}\hat {\rm L}{\text{T}} = 26.5^\circ \).</span></p>
<p> </p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the volume of the cylinder<strong> in cm<sup>3</sup></strong>. Give your answer correct to <strong>two</strong> decimal places.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The cylinder is used for storing tennis balls. Each ball has a <strong>radius</strong> of 3.25 cm.</span></p>
<p><span>Calculate how many balls Jenny can fit in the cylinder if it is filled to the top.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>(i) Jenny fills the cylinder with the number of balls found in part (b) and puts the lid on. Calculate the volume of air inside the cylinder in the spaces between the tennis balls.</span></p>
<p><span>(ii) Convert your answer to (c) (i) into cubic metres.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>(i) Find the value of angle \({\text{B}}\hat {\rm T}{\text{L}}\).</span></p>
<p><span>(ii) Use triangle BTL to calculate the sloping distance BT from the base,</span> <span>B to the top, T of the tower.</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the vertical height TG of the top of the tower.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">ii.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Leonardo now walks to point M, a distance 200 m from B on the opposite side of the tower. Calculate the distance from M to the top of the tower at T.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">ii.c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(\pi \times 3.25^2 \times 39\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span>(= 1294.1398)</span></p>
<p><span>Answer 1294.14 (cm<sup>3</sup>)(2dp) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><em><strong>(UP)</strong> not applicable in this part due to wording of question.</em></span><em> <span><strong>(M1)</strong> is for substituting appropriate numbers from the problem</span> <span>into the correct formula, even if the units are mixed up. <strong>(A1)</strong></span> <span>is for correct substitutions or correct answer with more than</span> <span>2dp in cubic centimetres seen.</span> <span>Award <strong>(G1)</strong> for answer to > 2dp with no working and no</span> <span>attempt to correct to 2dp.</span> <span>Award <strong>(M1)(A0)(A1)(ft)</strong> for </span></em><span>\(\pi \times {32.5^2} \times 39{\text{ c}}{{\text{m}}^3}\)</span><span> (= 129413.9824) = 129413.98</span></p>
<p><span><em>Use of \(\pi = \frac{22}{7}\) </em><strong>or</strong> 3.142<em> etc is premature rounding and is</em></span><em> <span>awarded at most <strong>(M1)(A1)(A0)</strong> or <strong>(M1)(A0)(A1)(ft)</strong></span> <span>depending on whether the intermediate value is seen or not. </span><span>For all other incorrect substitutions, award <strong>(M1)(A0)</strong> and only</span> <span>follow through the 2 dp correction if the intermediate answer</span> <span>to more decimal places is seen.</span> <span>Answer given as a multiple of </span></em><span>\(\pi\)</span><em><span> is awarded at most</span> <strong><span>(M1)(A1)(A0).</span></strong> <span>As usual, an <strong>unsubstituted</strong> formula followed by correct answer</span> <span>only receives the G marks.</span></em></p>
<p><em><span><strong>[3 marks]</strong><br></span></em></p>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>39/6.5 = 6 <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>Unit penalty <strong>(UP)</strong> is applicable where indicated in the left hand column.</em><br></span></p>
<p><span><em> </em></span></p>
<p><span><em><strong>(UP)</strong> </em>(i) Volume of one ball is \(\frac{4}{3} \pi \times 3.25^3 {\text{ cm}}^3\) <em><strong>(M1)</strong></em></span></p>
<p><span>\({\text{Volume of air}} = \pi \times {3.25^2} \times 39 - 6 \times \frac{4}{3}\pi \times {3.25^3} = 431{\text{ c}}{{\text{m}}^3}\)</span><span> <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><em><span>Award first <strong>(M1)</strong> for substituted volume of sphere formula</span> <span>or for numerical value of sphere volume seen (143.79… or</span> <span>45.77… </span></em><span>\( \times \pi\)</span><em><span>).</span> <span>Award second <strong>(M1)</strong> for subtracting candidate’s sphere</span> <span>volume multiplied by their answer to (b).</span> <span>Follow through from parts (a) and (b) only, but negative </span><span>or zero answer is always awarded <strong>(A0)</strong></span></em><span><strong>(ft)</strong></span></p>
<p><br><span><em><strong>(UP)</strong></em> (ii) 0.000431m<sup>3</sup> or 4.31×10<sup>−4</sup></span><span> m</span><span><sup>3</sup> <em><strong>(A1)</strong></em><strong>(ft)</strong><br></span></p>
<p><span><strong> </strong></span></p>
<p><span><strong><em>[4 marks]</em><br></strong></span></p>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>Unit penalty <strong>(UP)</strong> is applicable where indicated in the left hand column.</em></span></p>
<p><span>(i) \({\text{Angle B}}\widehat {\text{T}}{\text{L}} = 180 - 80 - 26.5\)</span><span> or \(180 - 90 - 26.5 - 10\) <em><strong>(M1)</strong></em></span></p>
<p><span>\(= 73.5^\circ\) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><em><strong> </strong></em></span></p>
<p><span>(ii) \(\frac{{BT}}{{\sin (26.5^\circ )}} = \frac{{120}}{{\sin (73.5^\circ )}}\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><em><strong>(UP)</strong></em> BT = 55.8 m (3sf) <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong> </strong></span></p>
<p><span><strong><em>[5 marks]</em><br></strong></span></p>
<p><span><strong><em><br></em></strong><em>If radian mode has been used throughout the question, award <strong>(A0)</strong> to the first incorrect answer then follow through, but</em><br><em>negative lengths are always awarded <strong>(A0)(ft)</strong>.</em></span></p>
<p><em><span>The answers are (all 3sf)</span></em></p>
<p><em><span>(ii)(a) – 124 m <strong>(A0)</strong></span></em><strong><span>(ft)</span></strong><span></span></p>
<p><em><span>(ii)(b) 123 m </span><span><strong>(A0)</strong></span></em><span></span><span></span><span></span></p>
<p><em><span>(ii)(c) 313 m </span><span><strong>(A0)</strong></span></em><span></span><span></span></p>
<p><span><em>If radian mode has been used throughout the question, award <strong>(A0)</strong> to the first incorrect answer then follow through, but negative lengths are always awarded <strong>(A0)</strong></em><strong>(ft)</strong></span></p>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>Unit penalty <strong>(UP)</strong> is applicable where indicated in the left hand column.</em></span></p>
<p><span>TG = 55.8sin(80°) or 55.8cos(10°) <em><strong>(M1)</strong></em></span></p>
<p><span><em><strong>(UP) =</strong></em> 55.0 m (3sf) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><em>Apply <strong>(AP)</strong> if 0 missing</em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span><span><strong><br></strong></span></p>
<p><span><strong><em><br></em></strong><em>If radian mode has been used throughout the question, award <strong>(A0)</strong> to the first incorrect answer then follow through, but</em><br><em>negative lengths are always awarded <strong>(A0)(ft)</strong>.</em></span></p>
<p><em><span>The answers are (all 3sf)</span></em></p>
<p><em><span>(ii)(a) – 124 m <strong>(A0)</strong></span></em><strong><span>(ft)</span></strong><span></span></p>
<p><em><span>(ii)(b) 123 m </span><span><strong>(A0)</strong></span></em><span></span><span></span><span></span></p>
<p><em><span>(ii)(c) 313 m </span><span><strong>(A0)</strong></span></em><span></span><span></span></p>
<p><span><em>If radian mode has been used throughout the question, award <strong>(A0)</strong> to the first incorrect answer then follow through, but negative lengths are always awarded <strong>(A0)</strong></em><strong>(ft)</strong></span></p>
<div class="question_part_label">ii.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>Unit penalty <strong>(UP)</strong> is applicable where indicated in the left hand column.</em></span></p>
<p><span>\({\text{MT}}^2 = 200^2 + 55.8^2 - 2 \times 200 \times 55.8 \times \cos(100^\circ)\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><em><strong>(UP)</strong></em> MT = 217 m (3sf) <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><em><span>Follow through only from part (ii)(a)(ii).</span> <span>Award marks at discretion for any valid alternative method.</span></em></p>
<p><em><span><strong>[3 marks]</strong></span></em><em><span><strong><span><strong><span><strong><br></strong></span></strong></span></strong></span></em></p>
<p><span><strong><em><br></em></strong><em>If radian mode has been used throughout the question, award <strong>(A0)</strong> to the first incorrect answer then follow through, but</em><br><em>negative lengths are always awarded <strong>(A0)(ft)</strong>.</em></span></p>
<p><em><span>The answers are (all 3sf)</span></em></p>
<p><em><span>(ii)(a) – 124 m <strong>(A0)</strong></span></em><strong><span>(ft)</span></strong><span></span></p>
<p><em><span>(ii)(b) 123 m </span><span><strong>(A0)</strong></span></em><span></span><span></span><span></span></p>
<p><em><span>(ii)(c) 313 m </span><span><strong>(A0)</strong></span></em><span></span><span></span></p>
<p><span><em>If radian mode has been used throughout the question, award <strong>(A0)</strong> to the first incorrect answer then follow through, but negative lengths are always awarded <strong>(A0)</strong></em><strong>(ft)</strong></span></p>
<p></p>
<div class="question_part_label">ii.c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(i) Many candidates incurred the new one-off unit penalty here. Too many ignored the call for two decimal places and some extrapolated that instruction to later parts (which was clearly not intended). There was the predictable confusion of using radius instead of diameter. Another common error was to divide the cylinder volume by that of the ball, to decide how many would fit. Some follow-through was allowed later from this error, however, this led to zero or negligible air volume, which was clearly ridiculous.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Choice and use of the formulae for volumes was often competent but the conversion to cubic metres was very badly done. Almost no correct answers were seen at all.</span></p>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(i) Many candidates incurred the new one-off unit penalty here. Too many ignored the call for two decimal places and some extrapolated that instruction to later parts (which was clearly not intended). There was the predictable confusion of using radius instead of diameter. Another common error was to divide the cylinder volume by that of the ball, to decide how many would fit. Some follow-through was allowed later from this error, however, this led to zero or negligible air volume, which was clearly ridiculous.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Choice and use of the formulae for volumes was often competent but the conversion to cubic metres was very badly done. Almost no correct answers were seen at all.</span></p>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(i) Many candidates incurred the new one-off unit penalty here. Too many ignored the call for two decimal places and some extrapolated that instruction to later parts (which was clearly not intended). There was the predictable confusion of using radius instead of diameter. Another common error was to divide the cylinder volume by that of the ball, to decide how many would fit. Some follow-through was allowed later from this error, however, this led to zero or negligible air volume, which was clearly ridiculous.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Choice and use of the formulae for volumes was often competent but the conversion to cubic metres was very badly done. Almost no correct answers were seen at all.</span></p>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(ii) Candidates were often sloppy in reading the information. In particular, despite the statement BL = 120 clearly written, many took GL as 120. Triangle TBL was often taken as right-angled. Angle BTL presented few problems, though sometimes the method was very long-winded. Candidates often managed part (a) then went awry in later parts. Many unit penalties were applied, if not already used in questions 1 or 2.</span></p>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(ii) Candidates were often sloppy in reading the information. In particular, despite the statement BL = 120 clearly written, many took GL as 120. Triangle TBL was often taken as right-angled. Angle BTL presented few problems, though sometimes the method was very long-winded. Candidates often managed part (a) then went awry in later parts. Many unit penalties were applied, if not already used in questions 1 or 2.</span></p>
<div class="question_part_label">ii.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(ii) Candidates were often sloppy in reading the information. In particular, despite the statement BL = 120 clearly written, many took GL as 120. Triangle TBL was often taken as right-angled. Angle BTL presented few problems, though sometimes the method was very long-winded. Candidates often managed part (a) then went awry in later parts. Many unit penalties were applied, if not already used in questions 1 or 2.</span></p>
<div class="question_part_label">ii.c.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">Consider the sequence \({u_1},{\text{ }}{u_2},{\text{ }}{u_3},{\text{ }} \ldots ,{\text{ }}{{\text{u}}_n},{\text{ }} \ldots \) where</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">\[{u_1} = 600,{\text{ }}{u_2} = 617,{\text{ }}{u_3} = 634,{\text{ }}{u_4} = 651.\]</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">The sequence continues in the same manner.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the value of \({u_{20}}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the sum of the first 10 terms of the sequence.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Now consider the sequence \({v_1},{\text{ }}{v_2},{\text{ }}{v_3},{\text{ }} \ldots ,{\text{ }}{v_n},{\text{ }} \ldots \) where</span></p>
<p><span>\[{v_1} = 3,{\text{ }}{v_2} = 6,{\text{ }}{v_3} = 12,{\text{ }}{v_4} = 24\]</span></p>
<p><span>This sequence continues in the same manner.</span></p>
<p><span>Find the exact value of \({v_{10}}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Now consider the sequence \({v_1},{\text{ }}{v_2},{\text{ }}{v_3},{\text{ }} \ldots ,{\text{ }}{v_n},{\text{ }} \ldots \) where</span></p>
<p><span>\[{v_1} = 3,{\text{ }}{v_2} = 6,{\text{ }}{v_3} = 12,{\text{ }}{v_4} = 24\]</span></p>
<p><span>This sequence continues in the same manner.</span></p>
<p><span>Find the sum of the first 8 terms of this sequence.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>\(k\) is the smallest value of \(n\) for which \({v_n}\) is greater than \({u_n}\).</span></p>
<p><span>Calculate the value of \(k\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(600 + (20 - 1) \times 17\) <strong><em>(M1)(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substituted arithmetic sequence formula, <strong><em>(A1) </em></strong>for correct substitutions. If a list is used, award <strong><em>(M1) </em></strong>for at least 6 correct terms seen, award <strong><em>(A1) </em></strong>for at least 20 correct terms seen.</span></p>
<p> </p>
<p><span>\( = 923\) <strong><em>(A1)(G3)</em></strong></span></p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{10}}{2}\left[ {2 \times 600 + (10 - 1) \times 17} \right]\) <strong><em>(M1)(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substituted arithmetic series formula, <strong><em>(A1) </em></strong>for their correct substitutions. Follow through from part (a). For consistent use of geometric series formula in part (b) with the geometric sequence formula in part (a) award a maximum of <strong><em>(M1)(A1)(A0) </em></strong>since their final answer cannot be an integer.</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p><span>\({u_{10}} = 600 + (10 - 1)17 = 753\) <strong><em>(M1)</em></strong></span></p>
<p><span>\({S_{10}} = \frac{{10}}{2}\left( {600 + {\text{their }}{u_{10}}} \right)\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for their correctly substituted arithmetic sequence formula, <strong><em>(M1) </em></strong>for their correctly substituted arithmetic series formula. Follow through from part (a) and <strong>within </strong>part (b).</span></p>
<p> </p>
<p><span><strong>Note: </strong>If a list is used, award <strong><em>(M1) </em></strong>for at least 10 correct terms seen, award <strong><em>(A1) </em></strong>for these terms being added.</span></p>
<p> </p>
<p><span>\( = 6765\) (accept \(6770\)) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(3 \times {2^9}\) <strong><em>(M1)(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substituted geometric sequence formula, <strong><em>(A1) </em></strong>for correct substitutions. If a list is used, award <strong><em>(M1) </em></strong>for at least 6 correct terms seen, award <strong><em>(A1) </em></strong>for at least 8 correct terms seen.</span></p>
<p> </p>
<p><span>\( = 1536\) <strong><em>(A1)(G3)</em></strong></span></p>
<p> </p>
<p><span><strong>Note:</strong> Exact answer only. If both exact and rounded answer seen, award the final <strong><em>(A1)</em></strong>.</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{3 \times \left( {{2^8} - 1} \right)}}{{2 - 1}}\) <strong><em>(M1)(A1)</em>(ft)</strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substituted geometric series formula, <strong><em>(A1) </em></strong>for their correct substitutions. Follow through from part (c). If a list is used, award <strong><em>(M1) </em></strong>for at least 8 correct terms seen, award <strong><em>(A1) </em></strong>for these 8 correct terms being added. For consistent use of arithmetic series formula in part (d) with the arithmetic sequence formula in part (c) award a maximum of <strong><em>(M1)(A1)(A1)</em></strong>.</span></p>
<p> </p>
<p><span>\( = 765\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(3 \times {2^{k - 1}} > 600 + (k - 1)(17)\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for their correct inequality; allow equation. </span></p>
<p><span>Follow through from parts (a) and (c). Accept sketches of the two functions as a valid method.</span></p>
<p> </p>
<p><span>\(k > 8.93648 \ldots \) (may be implied) <strong><em>(A1)</em>(ft)</strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(A1) </em></strong>for \(8.93648…\) seen. The GDC gives answers of \(-34.3\) and \(8.936\) to the inequality; award <strong><em>(M1)(A1) </em></strong>if these are seen with working shown.</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p><span>\({v_8} = 384\) \({u_8} = 719\) <strong><em>(M1)</em></strong></span></p>
<p><span>\({v_9} = 768\) \({u_9} = 736\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for \({v_8}\) and \({u_8}\) both seen, <strong><em>(M1) </em></strong>for \({v_9}\) and \({u_9}\) both seen.</span></p>
<p> </p>
<p><span>\(k = 9\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(G1) </em></strong>for \(8.93648…\) and \(-34.3\) seen as final answer without working. Accept use of \(n\).</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A farmer has a triangular field, ABC, as shown in the diagram.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">AB = 35 m, BC = 80 m and BÂC = 105°, and D is the midpoint of BC.</span></p>
<p> </p>
<p> </p>
<p style="text-align: center;"><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the size of BĈA.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the length of AD.</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The farmer wants to build a fence around ABD.</span></p>
<p><span>Calculate the total length of the fence.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The farmer wants to build a fence around ABD.</span></p>
<p><span>The farmer pays 802.50 USD for the fence. Find the cost per metre.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><span>Calculate the area of the triangle ABD.</span></span></p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>A layer of earth 3 cm thick is removed from ABD. Find the volume removed in cubic metres.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{\sin {\text{BCA}}}}{{35}} = \frac{{\sin 105^\circ }}{{80}}\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substituted formula, <em><strong>(A1)</strong></em> for correct substitutions.</span></p>
<p><br><span>\({\text{B}}{\operatorname{\hat C}}{\text{A}} = 25.0^{\circ}\) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><em><strong>[3 marks]</strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong><span>Note: Unit penalty (UP) applies in parts (b)(c) and (e)</span></strong></em></p>
<p><span> </span></p>
<p><span>Length BD = 40 m <em><strong>(A1)</strong></em></span></p>
<p><span>Angle ABC = 180° − 105° </span><span><span>−</span> 25° = 50° <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><br><span><strong>Note: (ft)</strong> from their answer to (a).</span></p>
<p><br><span>AD<sup>2</sup> = 35</span><span><span><sup>2</sup></span> + 40</span><span><span><sup>2</sup></span> </span><span><span><span>−</span></span> (2 × 35</span><span><span> × </span>40</span><span><span> × </span>cos 50°) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substituted formula, <em><strong>(A1)</strong></em><strong>(ft)</strong> for correct</span> <span>substitutions.</span></p>
<p><br><span><em><strong>(UP)</strong></em> AD = 32.0 m <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em> <br></span></p>
<p><br><span><strong>Notes:</strong> If 80 is used for BD award at most <em><strong>(A0)(A1)</strong></em><strong>(ft)</strong><em><strong>(M1)(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong></span> <span>for an answer of 63.4 m.</span></p>
<p><span>If the angle ABC is incorrectly calculated <strong>in this part</strong> award at most </span><em><strong><span>(A1)(A0)(M1)(A1)</span></strong></em><strong><span>(ft)</span></strong><em><strong><span>(A1)</span></strong></em><strong><span>(ft)</span></strong><span>.</span></p>
<p><span>If angle BCA is used award at most <em><strong>(A1)(A0)(M1)(A0)(A0)</strong></em>.</span></p>
<p><span> </span></p>
<p><em><strong><span>[5 marks]</span></strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong><span>Note: Unit penalty (UP) applies in parts (b)(c) and (e)</span></strong></em></p>
<p><span> </span></p>
<p><span>length of fence = 35 + 40 + 32 <em><strong>(M1)</strong></em></span></p>
<p><span><em><strong>(UP)</strong></em> = 107 m <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em> </span></p>
<p><br><span><strong>Note: <em>(M1)</em></strong> for adding 35 + 40 + their (b).</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>cost per metre \( = \frac{802.50}{107}\)</span> <em><strong><span>(M1)</span></strong></em></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for dividing 802.50 by their (c).</span></p>
<p><br><span>cost per metre = 7.50 USD (7.5 USD) (USD not required) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong><span>Note: Unit penalty (UP) applies in parts (b)(c) and (e)</span></strong></em></p>
<p><span> </span></p>
<p><span>Area of ABD \( = \frac{1}{2} \times 35 \times 40 \times \sin 50^\circ \) <em><strong>(M1)</strong></em></span></p>
<p><span>= 536.2311102 <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><em><strong>(UP)</strong></em> = 536 m<sup>2</sup> <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em> </span></p>
<p><br><span><strong>Note:</strong> Award <strong><em>(M1)</em></strong> for correct substituted formula, <em><strong>(A1)</strong></em><strong>(ft)</strong> for correct</span> <span>substitution, <strong>(ft)</strong> from their value of BD and their angle ABC in (b).</span></p>
<p><span> </span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Volume = 0.03 × 536 <em><strong>(A1)(M1)</strong></em></span></p>
<p><span>= 16.08</span></p>
<p><span>= 16.1 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em> </span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for 0.03, <em><strong>(M1)</strong></em> for correct formula. <strong>(ft)</strong> from their (e).</span></p>
<p><span>If 3 is used award at most <em><strong>(A0)(M1)(A0)</strong></em>.</span></p>
<p><span> </span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This was a simple application of non-right angled trigonometry and most </span><span style="font-size: medium; font-family: times new roman,times;">candidates answered it well. Some candidates lost marks in both parts due to the incorrect </span><span style="font-size: medium; font-family: times new roman,times;">setting of the calculators. Those that did not score well overall primarily used Pythagoras.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This was a simple application of non-right angled trigonometry and most </span><span style="font-size: medium; font-family: times new roman,times;">candidates answered it well. Some candidates lost marks in both parts due to the incorrect </span><span style="font-size: medium; font-family: times new roman,times;">setting of the calculators. Those that did not score well overall primarily used Pythagoras.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;"><span style="font-size: medium; font-family: times new roman,times;">Most candidates scored full marks, many by follow through from an incorrect part</span> <span style="font-size: medium; font-family: times new roman,times;">(b). The main error was using the value for BC and not BD.</span></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;"><span style="font-size: medium; font-family: times new roman,times;"><span style="font-size: medium; font-family: times new roman,times;">Most candidates scored full marks, many by follow through from an incorrect part</span> <span style="font-size: medium; font-family: times new roman,times;">(b). The main error was using the value for BC and not BD.</span></span></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;"><span style="font-size: medium; font-family: times new roman,times;">Done well; again some candidates used the right-angled formula.</span></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;"><span style="font-size: medium; font-family: times new roman,times;"><span style="font-size: medium; font-family: times new roman,times;">This part was poorly done; many candidates unable to convert 3 cm to 0.03 m. A</span> <span style="font-size: medium; font-family: times new roman,times;">significant number used the wrong formula, multiplying their answer by 1/3.</span></span></span></p>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The following graph shows the temperature in degrees Celsius of Robert’s cup of coffee, \(t\) minutes after pouring it out. The equation of the cooling graph is \(f (t) = 16 + 74 \times 2.8^{−0.2t}\) where \(f (t)\) is the temperature and \(t\) is the time in minutes after pouring the coffee out.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Robert, who lives in the UK, travels to Belgium. The exchange rate is 1.37 euros to one British Pound (GBP) with a commission of 3 GBP, which is subtracted before the exchange takes place. Robert gives the bank 120 GBP.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the initial temperature of the coffee.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the equation of the horizontal asymptote.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the room temperature.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the temperature of the coffee after 10 minutes.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">i.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the temperature of Robert’s coffee after being heated in the microwave for 30 <strong>seconds</strong> after it has reached the temperature in part (d).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">i.e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the length of time it would take a similar cup of coffee, initially at 20°C, to be heated in the microwave to reach 100°C.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">i.f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate <strong>correct to 2 decimal places</strong> the amount of euros he receives.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>He buys 1 kilogram of Belgian chocolates at 1.35 euros per 100 g.</span></p>
<p><span>Calculate the cost of his chocolates in GBP <strong>correct to 2 decimal places</strong>.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">ii.b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><em>Unit penalty <strong>(UP)</strong> is applicable in part (i)(a)(c)(d)(e) and (f)</em></span></p>
<p><span><em><strong>(UP)</strong></em> 90°C <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>y</em> = 16 <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em><span><em>Unit penalty <strong>(UP)</strong> is applicable in part (i)(a)(c)(d)(e) and (f)</em></span></em></span></p>
<p><span><em><strong>(UP)</strong></em> 16°C <strong>(ft)</strong><em> from answer to part (b) <strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong><em>[1 mark]</em><br></strong></span></p>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em><span><em>Unit penalty <strong>(UP)</strong> is applicable in part (i)(a)(c)(d)(e) and (f)</em></span></em></span></p>
<p><span><em><strong>(UP)</strong></em> 25.4°C <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong><span>[1 mark]</span></strong></em></span><span><em><strong> </strong></em></span> </p>
<div class="question_part_label">i.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><span><span><em><span><em>Unit penalty <strong>(UP)</strong> is applicable in part (i)(a)(c)(d)(e) and (f)</em></span></em></span></span></em></p>
<p><em><span>for seeing </span></em><span>2</span><span><sup>0.75</sup></span><em><span> or equivalent <strong>(A1)</strong><br></span></em></p>
<p><em><span>for multiplying their (d) by their </span></em><span>2<sup>0.75</sup></span><em><span> <strong>(M1)</strong></span></em></p>
<p><span><em><strong>(UP)</strong></em> 42.8°C <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><em><strong>[3 marks]<br></strong></em></span></p>
<div class="question_part_label">i.e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em><em><span>Unit penalty <strong>(UP)</strong> is applicable in part (i)(a)(c)(d)(e) and (f)<br></span></em></em></span></p>
<p><span><em>for seeing </em> \(20 \times 2^{1.5t} = 100\) <em><strong>(A1)</strong></em></span></p>
<p><span><em>for seeing a value of t between</em> 1.54 <em>and</em> 1.56 <em>inclusive <strong>(M1)(A1)</strong></em></span></p>
<p><span><em><strong>(UP)</strong></em> 1.55 minutes or 92.9 seconds <em><strong>(A1)(G3)</strong></em></span></p>
<p><span><em><strong>[4 marks]<br></strong></em></span></p>
<div class="question_part_label">i.f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>Financial accuracy penalty <strong>(FP)</strong> is applicable in part (ii) <strong>only</strong>.</em><br></span></p>
<p><span>\(120 - 3 = 117\)</span></p>
<p><span><em><strong>(FP)</strong></em> \(117 \times 1.37\) <em><strong>(A1)</strong></em></span></p>
<p><span>= 160.29 euros<em> (correct answer only) <strong>(M1)</strong></em></span></p>
<p><em><span>first <strong>(A1)</strong> for 117 seen, <strong>(M1)</strong> for multiplying by 1.37 <strong>(A1)(G2)</strong></span></em></p>
<p><em><span><strong>[3 marks]<br></strong></span></em></p>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>Financial accuracy penalty <strong>(FP)</strong> is applicable in part (ii) <strong>only</strong>.</em><br></span></p>
<p><span><em><strong>(FP)</strong></em> \(\frac{{13.5}}{{1.37}}\) <em><strong>(A1)(M1)</strong></em></span></p>
<p><span>9.85 GBP <em>(answer correct to 2dp only)</em></span></p>
<p><span><em>first <strong>(A1)</strong> is for 13.5 seen, <strong>(M1)</strong> for dividing by 1.37</em> <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><span><em><strong>[3 marks]<br></strong></em></span></p>
<div class="question_part_label">ii.b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates who had not lost a UP in question 2 lost one here. Parts (a), (c) and (d) were reasonably well tackled. Almost everybody had difficulty with the equation of the horizontal asymptote, a common answer being <em>y</em> = 20. Most of the candidates realised that 30 seconds was 0.5 minutes and calculated part (e) correctly. Part (f), solving an exponential equation, was a good discriminator. Trial and error was expected but many students did not think of doing this.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates who had not lost a UP in question 2 lost one here. Parts (a), (c) and (d) were reasonably well tackled. Almost everybody had difficulty with the equation of the horizontal asymptote, a common answer being <em>y</em> = 20. Most of the candidates realised that 30 seconds was 0.5 minutes and calculated part (e) correctly. Part (f), solving an exponential equation, was a good discriminator. Trial and error was expected but many students did not think of doing this.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates who had not lost a UP in question 2 lost one here. Parts (a), (c) and (d) were reasonably well tackled. Almost everybody had difficulty with the equation of the horizontal asymptote, a common answer being <em>y</em> = 20. Most of the candidates realised that 30 seconds was 0.5 minutes and calculated part (e) correctly. Part (f), solving an exponential equation, was a good discriminator. Trial and error was expected but many students did not think of doing this.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates who had not lost a UP in question 2 lost one here. Parts (a), (c) and (d) were reasonably well tackled. Almost everybody had difficulty with the equation of the horizontal asymptote, a common answer being <em>y</em> = 20. Most of the candidates realised that 30 seconds was 0.5 minutes and calculated part (e) correctly. Part (f), solving an exponential equation, was a good discriminator. Trial and error was expected but many students did not think of doing this.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">i.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates who had not lost a UP in question 2 lost one here. Parts (a), (c) and (d) were reasonably well tackled. Almost everybody had difficulty with the equation of the horizontal asymptote, a common answer being <em>y</em> = 20. Most of the candidates realised that 30 seconds was 0.5 minutes and calculated part (e) correctly. Part (f), solving an exponential equation, was a good discriminator. Trial and error was expected but many students did not think of doing this.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">i.e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates who had not lost a UP in question 2 lost one here. Parts (a), (c) and (d) were reasonably well tackled. Almost everybody had difficulty with the equation of the horizontal asymptote, a common answer being <em>y</em> = 20. Most of the candidates realised that 30 seconds was 0.5 minutes and calculated part (e) correctly. Part (f), solving an exponential equation, was a good discriminator. Trial and error was expected but many students did not think of doing this.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">i.f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The financial part was the best done question in the paper and a large majority of candidates gained full marks here.</span></p>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The financial part was the best done question in the paper and a large majority of candidates gained full marks here.</span></p>
<div class="question_part_label">ii.b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Nadia designs a wastepaper bin made in the shape of an <strong>open</strong> cylinder with a volume of \(8000{\text{ c}}{{\text{m}}^3}\).</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Nadia decides to make the radius, \(r\) , of the bin \(5{\text{ cm}}\).</span></p>
</div>
<div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Merryn also designs a cylindrical wastepaper bin with a volume of \(8000{\text{ c}}{{\text{m}}^3}\). She decides to fix the radius of its base so that the <strong>total external surface area</strong> of the bin is minimized.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Let the radius of the base of Merryn’s wastepaper bin be \(r\) , and let its height be \(h\) .</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate</span><br><span>(i) the area of the base of the wastepaper bin;</span><br><span>(ii) the height, \(h\) , of Nadia’s wastepaper bin;</span><br><span>(iii) the total <strong>external</strong> surface area of the wastepaper bin.</span></p>
<div class="marks">[7]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State whether Nadia’s design is practical. Give a reason.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down an equation in \(h\) and \(r\) , using the given volume of the bin.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that the total external surface area, \(A\) , of the bin is \(A = \pi {r^2} + \frac{{16000}}{r}\) .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down \(\frac{{{\text{d}}A}}{{{\text{d}}r}}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>(i) Find the value of \(r\) that minimizes the total external surface area of the wastepaper bin.</span><br><span>(ii) Calculate the value of \(h\) corresponding to this value of \(r\) .</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Determine whether Merryn’s design is an improvement upon Nadia’s. Give a reason.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \({\text{Area}} = \pi {(5)^2}\) <em><strong>(M1)</strong></em></span><br><span>\( = 78.5{\text{ (c}}{{\text{m}}^2}{\text{)}}\) (\(78.5398 \ldots \)) <em><strong>(A1)(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Accept \(25\pi \) .</span></p>
<p><br><span>(ii) \(8000 = 78.5398 \ldots \times h\) <em><strong>(M1)</strong></em></span><br><span>\(h = 102{\text{ (cm)}}\) (\(101.859 \ldots \)) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Follow through from their answer to part (a)(i).</span></p>
<p><br><span>(iii) \({\text{Area}} = \pi {(5)^2} + 2\pi (5)(101.859 \ldots )\) <em><strong>(M1)(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for their substitution in curved surface area formula, <em><strong>(M1)</strong></em> for addition of their two areas.</span></p>
<p><br><span>\( = 3280{\text{ (c}}{{\text{m}}^2}{\text{)}}\) (\(3278.53 \ldots \)) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Follow through from their answers to parts (a)(i) and (ii).</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>No, it is too tall/narrow. <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(R1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Follow through from their value for \(h\).</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><span>\(8000 = \pi {r^2}h\) </span> <span><em><strong>(A1)</strong></em></span></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(A = \pi {r^2} + 2\pi r\left( {\frac{{8000}}{{\pi {r^2}}}} \right)\) <em><strong>(A1)(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for correct rearrangement of <strong>their</strong> part (c), <em><strong>(M1)</strong></em> for substitution of <strong>their</strong> rearrangement into area formula.</span></p>
<p><br><span>\( = \pi {r^2} + \frac{{16000}}{r}\) <em><strong>(AG)</strong></em></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{{\text{d}}A}}{{{\text{d}}r}} = 2\pi r - 16000{r^{ - 2}}\) <em><strong>(A1)(A1)(A1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for \(2\pi r\) , <em><strong>(A1)</strong></em> for \( - 16000\) <em><strong>(A1)</strong></em> for \({r^{ - 2}}\) . If an extra term is present award at most <em><strong>(A1)(A1)(A0)</strong></em>.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(\frac{{{\text{d}}A}}{{{\text{d}}r}} = 0\) <em><strong>(M1)</strong></em></span><br><span>\(2\pi {r^3} - 16000 = 0\) <em><strong>(M1)</strong></em></span><br><span>\(r = 13.7{\text{ cm}}\) (\(13.6556 \ldots \)) <strong><em>(A1)</em>(ft)</strong></span></p>
<p><br><span><strong>Note:</strong> Follow through from their part (e).</span></p>
<p><br><span>(ii) \(h = \frac{{8000}}{{\pi {{(13.65 \ldots )}^2}}}\) <em><strong>(M1)</strong></em></span><br><span>\( = 13.7{\text{ cm}}\) (\(13.6556 \ldots \)) <strong><em>(A1)</em>(ft)</strong></span></p>
<p><br><span><strong>Note:</strong> Accept \(13.6\) if \(13.7\) used.</span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Yes or No, accompanied by a consistent and sensible reason. <em><strong>(A1)(R1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(A0)(R0)</strong></em> if no reason is given.</span></p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The lengths (\(l\)) in centimetres of \(100\) copper pipes at a local building supplier were measured. The results are listed in the table below.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the mode.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Using your graphic display calculator, write down the value of</span><br><span>(i) the mean;</span><br><span>(ii) the standard deviation;</span><br><span>(iii) the median.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the interquartile range.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Draw a box and whisker diagram for this data, on graph paper, using a scale of \(1{\text{ cm}}\) to represent \(5{\text{ cm}}\).</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Sam estimated the value of the mean of the measured lengths to be \(43{\text{ cm}}\).</span></p>
<p><span>Find the percentage error of Sam’s estimated mean.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><span>\(47.5{\text{ (cm)}}\) </span> <span><em><strong>(A1)</strong></em></span></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(45.85{\text{ (cm)}}\) <em><strong>(G2)</strong></em></span></p>
<p><span><strong> </strong></span></p>
<p><span><strong>Note:</strong> Accept \(45.9\) .</span></p>
<p> </p>
<p><span>(ii) \(17.1{\text{ }}(17.0888 \ldots )\) <em><strong>(G1)</strong></em></span><br><span>(iii) \(47.5{\text{ (cm)}}\) <em><strong>(G1)</strong></em></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(62.5 - 32.5 = 30\) <em><strong>(M1)(A1)(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct quartiles seen.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><img 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" alt></span></p>
<p><span><em><strong>(A1)</strong></em> for correct label and scale</span><br><span><strong><em>(A1)</em>(ft)</strong> for correct median</span><br><span><strong><em>(A1)</em>(ft)</strong> for correct quartiles and box</span><br><span><em><strong>(A1)</strong></em> for endpoints at \(17.5\) and \(77.5\) joined to box by straight lines <em><strong>(A1)(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em></span></p>
<p><span> </span></p>
<p><span><span><strong>Notes:</strong> The final</span> <span><em><strong>(A1)</strong></em> is lost if the lines go through the box. Follow through from their parts (b) and (c).</span></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\varepsilon = \left| {\frac{{43 - 45.85}}{{45.85}}} \right| \times 100\% \) <strong>(M1)</strong></span></p>
<p> </p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for their correct substitution in \(\% \) error formula.</span></p>
<p> </p>
<p><span>\( = 6.22\% \) (\(6.21592 \ldots \)) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p> </p>
<p><span><strong>Notes:</strong> Follow through from their answer to part (b)(i). Accept \(6.32\% \) with use of \(45.9\) .</span></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">The sum of the first \(n\) terms of an arithmetic sequence is given by \({S_n} = 6n + {n^2}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down the value of</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>\({S_1}\);</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\({S_2}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The \({n^{{\text{th}}}}\) term of the arithmetic sequence is given by \({u_n}\).</p>
<p class="p1">Show that \({u_2} = 9\).</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The \({n^{{\text{th}}}}\) term of the arithmetic sequence is given by \({u_n}\).</p>
<p class="p1">Find the common difference of the sequence.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The \({n^{{\text{th}}}}\) term of the arithmetic sequence is given by \({u_n}\).</p>
<p class="p1">Find \({u_{10}}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The \({n^{{\text{th}}}}\) term of the arithmetic sequence is given by \({u_n}\).</p>
<p class="p1">Find the lowest value of \(n\) for which \({u_n}\) <span class="s1">is greater than \(1000\)</span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The \({n^{{\text{th}}}}\) term of the arithmetic sequence is given by \({u_n}\).</p>
<p>There is a value of \(n\) for which</p>
<p>\[{u_1} + {u_2} + \ldots + {u_n} = 1512.\]</p>
<p>Find the value of \(n\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\({S_1} = 7\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\({S_2} = 16\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(({u_2} = ){\text{ }}16 - 7 = 9\) <span class="Apple-converted-space"> </span><strong><em>(M1)(AG)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for subtracting <span class="s1">7 </span>from <span class="s1">16</span>. The <span class="s1">9 </span>must be seen.</p>
<p class="p2"> </p>
<p class="p1"><strong>OR</strong></p>
<p class="p1">\(16 - 7 - 7 = 2\)</p>
<p class="p1">\(({u_2} = ){\text{ }}7 + (2 - 1)(2) = 9\) <span class="Apple-converted-space"> </span><strong><em>(M1)(AG)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for subtracting twice \(7\)<span class="s1"> </span>from \(16\)<span class="s1"> </span>and for correct substitution in correct arithmetic sequence formula.</p>
<p class="p1">The \(9\)<span class="s1"> </span>must be seen.</p>
<p class="p1">Do not accept: \(9 - 7 = 2,{\text{ }}{u_2} = 7 + (2 - 1)(2) = 9\).</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({u_1} = 7\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p1">\(d = 2{\text{ }}( = 9 - 7)\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Follow through from their \({S_1}\) in part (a)(i).</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(7 + 2 \times (10 - 1)\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution in the correct arithmetic sequence formula. Follow through from <strong>their </strong>parts (a)(i) and (c).</p>
<p class="p2"> </p>
<p class="p1">\( = 25\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Note:<span class="Apple-converted-space"> </span></strong>Award <strong><em>(A1)</em>(ft) </strong>for their correct tenth term.</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(7 + 2 \times (n - 1) > 1000\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(A1)</em>(ft) </strong>for their correct expression for the \({n^{{\text{th}}}}\) term, <strong><em>(M1) </em></strong>for comparing their expression to \(1000\). Accept an equation. Follow through from their parts (a)(i) and (c).</p>
<p class="p2"> </p>
<p class="p1">\(n = 498\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Answer must be a natural number.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(6n + {n^2} = 1512\;\;\;\)<strong>OR</strong>\(\;\;\;\frac{n}{2}\left( {14 + 2(n - 1)} \right) = 1512\;\;\;\)<strong>OR</strong></p>
<p>\({S_n} = 1512\;\;\;\)<strong>OR</strong>\(\;\;\;7 + 9 + \ldots + {u_n} = 1512\) <strong><em>(M1)</em></strong></p>
<p><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for equating the sum of the first \(n\) terms to \(1512\). Accept a sum of at least the first 7 correct terms.</p>
<p> </p>
<p>\(n = 36\) <strong><em>(A1)(G2)</em></strong></p>
<p><strong>Note:</strong> If \(n = 36\) is seen without working, award <strong><em>(G2)</em></strong>. Award a maximum of <strong><em>(M1)(A0) </em></strong>if \( - 42\) is also given as a solution.</p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>Abdallah owns a plot of land, near the river Nile, in the form of a quadrilateral ABCD.</p>
<p>The lengths of the sides are \({\text{AB}} = {\text{40 m, BC}} = {\text{115 m, CD}} = {\text{60 m, AD}} = {\text{84 m}}\) and angle \({\rm{B\hat AD}} = 90^\circ \).</p>
<p>This information is shown on the diagram.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-02-13_om_14.24.18.png" alt="N17/5/MATSD/SP2/ENG/TZ0/03"></p>
</div>
<div class="specification">
<p>The formula that the ancient Egyptians used to estimate the area of a quadrilateral ABCD is</p>
<p style="text-align: center;">\({\text{area}} = \frac{{({\text{AB}} + {\text{CD}})({\text{AD}} + {\text{BC}})}}{4}\).</p>
<p>Abdallah uses this formula to estimate the area of his plot of land.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that \({\text{BD}} = 93{\text{ m}}\) correct to the nearest metre.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate angle \({\rm{B\hat CD}}\).</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the area of ABCD.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate Abdallah’s estimate for the area.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the percentage error in Abdallah’s estimate.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\({\text{B}}{{\text{D}}^2} = {40^2} + {84^2}\) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution into Pythagoras.</p>
<p>Accept correct substitution into cosine rule.</p>
<p>\({\text{BD}} = 93.0376 \ldots \) <strong><em>(A1)</em></strong></p>
<p>\( = 93\) <strong><em>(AG)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Both the rounded and unrounded value must be seen for the <strong><em>(A1) </em></strong>to be awarded.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\cos C = \frac{{{{115}^2} + {{60}^2} - {{93}^2}}}{{2 \times 115 \times 60}}{\text{ }}({93^2} = {115^2} + {60^2} - 2 \times 115 \times 60 \times \cos C)\) <strong><em>(M1)(A1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution into cosine formula, <strong><em>(A1) </em></strong>for correct substitutions.</p>
<p> </p>
<p>\( = 53.7^\circ {\text{ }}(53.6679 \ldots ^\circ )\) <strong><em>(A1)(G2)</em></strong></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{1}{2}(40)(84) + \frac{1}{2}(115)(60)\sin (53.6679 \ldots )\) <strong><em>(M1)(M1)(A1)</em>(ft)</strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution into right-angle triangle area. Award <strong><em>(M1) </em></strong>for substitution into area of triangle formula and <strong><em>(A1)</em>(ft) </strong>for correct substitution.</p>
<p> </p>
<p>\( = 4460{\text{ }}{{\text{m}}^2}{\text{ }}(4459.30 \ldots {\text{ }}{{\text{m}}^2})\) <strong><em>(A1)</em>(ft)<em>(G3)</em></strong></p>
<p> </p>
<p><strong>Notes: </strong>Follow through from part (b).</p>
<p> </p>
<p><strong><em>[4 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{(40 + 60)(84 + 115)}}{4}\) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution in the area formula used by ‘Ancient Egyptians’.</p>
<p> </p>
<p>\( = 4980{\text{ }}{{\text{m}}^2}{\text{ }}(4975{\text{ }}{{\text{m}}^2})\) <strong><em>(A1)(G2)</em></strong></p>
<p> </p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\left| {\frac{{4975 - 4459.30 \ldots }}{{4459.30 \ldots }}} \right| \times 100\) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for correct substitution into percentage error formula.</p>
<p> </p>
<p>\( = 11.6{\text{ }}(\% ){\text{ }}(11.5645 \ldots )\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p> </p>
<p><strong>Notes: </strong>Follow through from parts (c) and (d)(i).</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">d.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.ii.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;"><strong>Give all your numerical answers correct to two decimal places.</strong></span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">On 1 January 2005, Daniel invested \(30000{\text{ AUD}}\) at an annual <strong>simple</strong> interest rate in a <em>Regular Saver</em> account. On 1 January 2007, Daniel had \(31650{\text{ AUD}}\) in the account.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>On 1 January 2005, Rebecca invested \(30000{\text{ AUD}}\) in a <em>Supersaver</em> account at a nominal annual rate of \(2.5\% \) <strong>compounded annually</strong>. Calculate the amount in the <em>Supersaver</em> account after two years.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><span>On 1 January 2005, Rebecca invested \(30000{\text{ AUD}}\) in a <em>Supersaver</em> account at a nominal annual rate of \(2.5\% \) <strong>compounded annually</strong>. <br></span></span></p>
<p><span>Find the number of complete years since 1 January 2005 it would take for the amount in Rebecca’s account to exceed the amount in Daniel’s account.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>On 1 January 2007, Daniel reinvested \(80\% \) of the money from the <em>Regular Saver</em> account in an <em>Extra Saver</em> account at a nominal annual rate of \(3\% \) <strong>compounded quarterly</strong>.</span></p>
<p><span>(i) Calculate the amount of money reinvested by Daniel on the 1 January 2007.</span></p>
<p><span>(ii) Find the number of complete years it will take for the amount in Daniel’s <em>Extra Saver</em> account to exceed \(30000{\text{ AUD}}\).</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{Amount}} = 30000{\left( {1 + \frac{{2.5}}{{100}}} \right)^2}\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into compound interest formula, <em><strong>(A1)</strong></em> for correct substitution.</span></p>
<p> </p>
<p><span>\(31518.75{\text{ AUD}}\) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><strong>OR</strong></span></p>
<p><span>\({\text{I}} = 30000{\left( {1 + \frac{{2.5}}{{100}}} \right)^2} - 30000\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into compound interest formula, <em><strong>(A1)</strong></em> for correct substitution.</span></p>
<p> </p>
<p><span><span>\(31518.75{\text{ AUD}}\) </span> <span><em><strong>(A1)(G2)</strong></em></span></span></p>
<p><span><span><em><strong>[3 marks]<br></strong></em></span></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{Rebecca's amount}} = 30000{\left( {1 + \frac{{2.5}}{{100}}} \right)^n}\)</span><br><span>\({\text{Daniel's amount}} = 30000 + \frac{{30000 \times 2.75 \times n}}{{100}}\) <strong><em>(M1)(A1)</em>(ft)</strong></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution in the correct formula for the two amounts, <em><strong>(A1)</strong></em> for correct substitution. Follow through from their</span> <span>expressions used in part (a) and/or part (b).</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p><span>2 lists of values seen (at least 2 terms per list) <em><strong>(M1)</strong></em></span></p>
<p><span>lists of values including at least the terms with \(n = 8\) and \(n = 9\) <strong><em>(A1)</em>(ft)</strong></span></p>
<p><span>For \(n = 8\) \({\text{CI}} = 36552.09\) \({\text{SI}} = 36600\)</span></p>
<p><span>For \(n = 9\) </span><span><span>\({\text{CI}} = 37465.89\)</span></span><span> \({\text{SI}} = 37425\)</span></p>
<p><span><strong>Note:</strong> Follow through from their expressions used in part (a) or/and (b).</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p><span>Sketch showing 2 graphs, one exponential and the other straight line <em><strong>(M1)</strong></em></span></p>
<p><span>point of intersection identified <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Follow through from their expressions used in part (a) or/and (b).</span></p>
<p> </p>
<p><span>\(n = 9\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Answer \(8.57\) without working is awarded <em><strong>(G1)</strong></em>.</span></p>
<p><span><strong>Note:</strong> Accept comparison of interests instead of the total amounts in the two accounts.</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(0.80 \times 31650 = 25320\) <em><strong>(M1)(A1)(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct use of percentages.</span></p>
<p> </p>
<p><span>(ii) \(25320{\left( {1 + \frac{3}{{4 \times 100}}} \right)^{4n}} > 30000\) <strong><em>(M1)(M1)</em>(ft)</strong></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for correct left-hand side of the inequality, <em><strong>(M1)</strong></em> for comparison to \(30000\). Accept equation. Follow through from their answer to part (d) (i).</span></p>
<p><span> </span></p>
<p><span><strong>OR</strong></span></p>
<p><span>List of values from their \(25320{\left( {1 + \frac{3}{{4 \times 100}}} \right)^{4n}} \) seen (at least 2 terms) <em><strong>(M1)</strong></em></span></p>
<p><span>Their correct values for \(n = 5\) (\(29401.18\)) and \(n = 6\) (\(30293\)) seen <strong><em>(A1)</em>(ft)</strong></span></p>
<p><span><strong>Note:</strong> Follow through from their answer to (d) (i).</span></p>
<p><span> </span></p>
<p><span><strong>OR</strong></span></p>
<p><span>Sketch showing 2 graphs <span>–</span> an exponential and a horizontal line <em><strong>(M1)</strong></em></span></p>
<p><span>Point of intersection identified or vertical line drawn <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Follow through from their answer to (d) (i).</span></p>
<p> </p>
<p><span>\(n = 6\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(G1)</strong></em> for answer \(5.67\) with no working.</span></p>
<p><span> </span></p>
<p><span><em><strong>[5 marks]</strong></em><br></span></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Part b) was well done. <br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Parts c) and d) were not answered well. Marks were gained by candidates who showed detailed working. Many candidates had difficulty working with the compound interest formula where the interest was compounded quarterly. Correct final answers in parts c) and d) were rare.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Parts c) and d) were not answered well. Marks were gained by candidates who showed detailed working. Many candidates had difficulty working with the compound interest formula where the interest was compounded quarterly. Correct final answers in parts c) and d) were rare.</span></p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Prachi is on vacation in the United States. She is visiting the Grand Canyon.</p>
<p><br>When she reaches the top, she drops a coin down a cliff. The coin falls down a distance of \(5\) metres during the first second, \(15\) metres during the next second, \(25\) metres during the third second and continues in this way. The distances that the coin falls during each second forms an arithmetic sequence.</p>
<p> </p>
<p>(i) Write down the common difference, \(d\) , of this arithmetic sequence.</p>
<p>(ii) Write down the distance the coin falls during the fourth second.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the distance the coin falls during the \(15{\text{th}}\) second.</p>
<p> </p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the <strong>total</strong> distance the coin falls in the first \(15\) seconds. Give your answer in kilometres.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Prachi drops the coin from a height of \(1800\) metres above the ground.</p>
<p>Calculate the time, to the nearest second, the coin will take to reach the ground.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Prachi visits a tourist centre nearby. It opened at the start of \(2015\) and in the first year there were \(17\,000\) visitors. The number of people who visit the tourist centre is expected to increase by \(10\,\% \) each year.</p>
<p>Calculate the number of people expected to visit the tourist centre in \(2016\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the total number of people expected to visit the tourist centre during the first \(10\) years since it opened.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) \(10\,({\text{m}})\) <em><strong> (A1)</strong></em></p>
<p> </p>
<p>(ii) \(35\,({\text{m}})\) <em><strong> (A1)</strong></em><strong>(ft)</strong></p>
<p><strong>Note:</strong> Follow through from part (a)(i).</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(5 + 14 \times 10\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into arithmetic sequence formula. A list of <strong>their</strong> \(10\) correct terms (excluding those given in question and the \(35\) from part (a)(ii)) must be seen for the <em><strong>(M1)</strong></em> to be awarded.</p>
<p>\( = 145\,({\text{m}})\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></p>
<p><strong>Note:</strong> Follow through from their value for \(d\).</p>
<p>If a list is used, award <em><strong>(A1)</strong></em> for their \({15^{{\text{th}}}}\) term.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{15}}{2}(2 \times 5 + 14 \times 10)\) <strong>OR</strong> \(\frac{{15}}{2}(5 + 145)\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into arithmetic series formula. Follow through from their part (a)(i). Accept a list added together until the \(15{\text{th}}\) term.</p>
<p>\( = 1125\,\,{\text{(m)}}\) <strong><em>(A1)</em>(ft)</strong></p>
<p><strong>Note:</strong> Follow through from parts (a) and (b).</p>
<p>\({\text{ = 1}}{\text{.13}}\,\,{\text{(km)}}\,\,(1.125\,{\text{(km)}})\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong> </p>
<p><strong>Note:</strong> Award <strong><em>(A1)</em>(ft)</strong> for correctly converting <strong>their</strong> metres to kilometres, irrespective of method used. To award the last <strong><em>(A1)</em>(ft)</strong> in follow through, the candidate’s answer in metres must be seen.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{n}{2}\left( {2 \times 5 + (n - 1)10} \right) = 1800\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into arithmetic series formula equated to \(1800\). Follow through from their part (a)(i). Accept a list of terms that shows clearly the \(18{\text{th}}\) second and \(19{\text{th}}\) second distances.<br>Correct use of kinematics equations is a valid method.</p>
<p>\(n = 18.97\) <strong><em>(A1)</em>(ft)</strong></p>
<p>\(19\) (seconds) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></p>
<p><strong>Note:</strong> Award <strong><em>(A1)</em>(ft)</strong> for correct unrounded value for \(n\). The second <strong><em>(A1)</em>(ft)</strong> is awarded for the correct rounding off of their value for \(n\) to the nearest second if their unrounded value is seen.<br>Award <strong><em>(M1)(A2)</em>(ft)</strong> for their \(19\) if method is shown. Unrounded value for \(n\) may not be seen. Follow through from their \({u_I}\) and \(d\) only if workings are shown.</p>
<p><strong>OR</strong></p>
<p>\(1125 + 155 + 165 + 175 + 185 = 1805\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for adding the terms until reaching \(1800\).</p>
<p>\((n = )\,19\) <strong><em>(A2)</em>(ft)</strong></p>
<p><strong>Note:</strong> In this method, follow through from their \(d\) from part (a) and their \(1125\) from part (c).</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(17\,000\,\,(1.1)\) (or equivalent) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for multiplying \(17\,000\) by \(1.1\) or equivalent.</p>
<p>\( = 18\,700\) <em><strong>(A1)</strong></em><em><strong>(G2)</strong></em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\({S_{10}} = \frac{{17\,000\,({{1.1}^{10}} - 1)}}{{1.1 - 1}}\) <strong><em>(M1)(A1)</em>(ft)</strong></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into the geometric series formula, <strong><em>(A1)</em>(ft)</strong> for correct substitution. Award <strong><em>(A1)</em>(ft)</strong> for a list of their correct \(10\) terms, <em><strong>(M1)</strong></em> for adding their \(10\) terms.</p>
<p>\(271\,000\,\,\,(270\,936)\) <strong><em>(A1)</em>(ft)(G2)</strong></p>
<p><strong>Note:</strong> Follow through from their \(1.1\) in part (e).</p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>Question 2: Arithmetic and geometric sequences and series<br>Parts (a), (b), (c) and (e) were well done. Quite a few forgot to convert their answer to km in part (c). The main problem with part (d) was that candidates chose to equate the \({n^{{\text{th}}}}\) term formula to 1800 rather than the sum of the first n terms formula. Some of those who managed to write the correct equation were not always successful at solving it. Some candidates made use of the trial and error method to reach the correct answer. Part (e) was obvious to some, others put it into a formula with little understanding and a surprising number of candidates had place value issues (stating 10% of 17000 was 170). Many candidates used the compound interest formula in both parts (e) and (f). In part (f) many candidates did not realize that they needed to use the sum of a geometric series formula. They either used the sum of an arithmetic series or as previously mentioned, the compound interest formula.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 2: Arithmetic and geometric sequences and series</p>
<p>Parts (a), (b), (c) and (e) were well done. Quite a few forgot to convert their answer to km in part (c). The main problem with part (d) was that candidates chose to equate the \({n^{{\text{th}}}}\) term formula to 1800 rather than the sum of the first n terms formula. Some of those who managed to write the correct equation were not always successful at solving it. Some candidates made use of the trial and error method to reach the correct answer. Part (e) was obvious to some, others put it into a formula with little understanding and a surprising number of candidates had place value issues (stating 10% of 17000 was 170). Many candidates used the compound interest formula in both parts (e) and (f). In part (f) many candidates did not realize that they needed to use the sum of a geometric series formula. They either used the sum of an arithmetic series or as previously mentioned, the compound interest formula.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 2: Arithmetic and geometric sequences and series</p>
<p>Parts (a), (b), (c) and (e) were well done. Quite a few forgot to convert their answer to km in part (c). The main problem with part (d) was that candidates chose to equate the \({n^{{\text{th}}}}\) term formula to 1800 rather than the sum of the first n terms formula. Some of those who managed to write the correct equation were not always successful at solving it. Some candidates made use of the trial and error method to reach the correct answer. Part (e) was obvious to some, others put it into a formula with little understanding and a surprising number of candidates had place value issues (stating 10% of 17000 was 170). Many candidates used the compound interest formula in both parts (e) and (f). In part (f) many candidates did not realize that they needed to use the sum of a geometric series formula. They either used the sum of an arithmetic series or as previously mentioned, the compound interest formula.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 2: Arithmetic and geometric sequences and series</p>
<p>Parts (a), (b), (c) and (e) were well done. Quite a few forgot to convert their answer to km in part (c). The main problem with part (d) was that candidates chose to equate the \({n^{{\text{th}}}}\) term formula to 1800 rather than the sum of the first n terms formula. Some of those who managed to write the correct equation were not always successful at solving it. Some candidates made use of the trial and error method to reach the correct answer. Part (e) was obvious to some, others put it into a formula with little understanding and a surprising number of candidates had place value issues (stating 10% of 17000 was 170). Many candidates used the compound interest formula in both parts (e) and (f). In part (f) many candidates did not realize that they needed to use the sum of a geometric series formula. They either used the sum of an arithmetic series or as previously mentioned, the compound interest formula.</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 2: Arithmetic and geometric sequences and series</p>
<p>Parts (a), (b), (c) and (e) were well done. Quite a few forgot to convert their answer to km in part (c). The main problem with part (d) was that candidates chose to equate the \({n^{{\text{th}}}}\) term formula to 1800 rather than the sum of the first n terms formula. Some of those who managed to write the correct equation were not always successful at solving it. Some candidates made use of the trial and error method to reach the correct answer. Part (e) was obvious to some, others put it into a formula with little understanding and a surprising number of candidates had place value issues (stating 10% of 17000 was 170). Many candidates used the compound interest formula in both parts (e) and (f). In part (f) many candidates did not realize that they needed to use the sum of a geometric series formula. They either used the sum of an arithmetic series or as previously mentioned, the compound interest formula.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 2: Arithmetic and geometric sequences and series</p>
<p>Parts (a), (b), (c) and (e) were well done. Quite a few forgot to convert their answer to km in part (c). The main problem with part (d) was that candidates chose to equate the \({n^{{\text{th}}}}\) term formula to 1800 rather than the sum of the first n terms formula. Some of those who managed to write the correct equation were not always successful at solving it. Some candidates made use of the trial and error method to reach the correct answer. Part (e) was obvious to some, others put it into a formula with little understanding and a surprising number of candidates had place value issues (stating 10% of 17000 was 170). Many candidates used the compound interest formula in both parts (e) and (f). In part (f) many candidates did not realize that they needed to use the sum of a geometric series formula. They either used the sum of an arithmetic series or as previously mentioned, the compound interest formula.</p>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">A lobster trap is made in the shape of half a cylinder. It is constructed from a steel frame with netting pulled tightly around it. The steel frame consists of a rectangular base, two semicircular ends and two further support rods, as shown in the following diagram.</span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; min-height: 25px; text-align: center; margin: 0px;"><span style="font-family: 'times new roman', times; font-size: medium;"><span style="font-family: 'times new roman', times; font-size: medium;"><br><img src="images/Schermafbeelding_2014-09-20_om_14.54.16.png" alt><br></span></span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;"> </span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">The semicircular ends each have radius \(r\) and the support rods each have length \(l\).</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">Let \(T\) be the total length of steel used in the frame of the lobster trap.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down an expression for \(T\) in terms of \(r\), \(l\) and \(\pi \).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The volume of the lobster trap is \(0.75{\text{ }}{{\text{m}}^{\text{3}}}\).</span></p>
<p><span>Write down an equation for the volume of the lobster trap in terms of \(r\), \(l\) and \(\pi \).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The volume of the lobster trap is \(0.75{\text{ }}{{\text{m}}^{\text{3}}}\).</span></p>
<p><span>Show that \(T = (2\pi + 4)r + \frac{6}{{\pi {r^2}}}\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The volume of the lobster trap is \(0.75{\text{ }}{{\text{m}}^{\text{3}}}\).</span></p>
<p><span>Find \(\frac{{{\text{d}}T}}{{{\text{d}}r}}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The lobster trap is designed so that the length of steel used in its frame is a minimum.</span></p>
<p><span>Show that the value of \(r\) for which \(T\) is a minimum is \(0.719 {\text{ m}}\), correct to three significant figures.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The lobster trap is designed so that the length of steel used in its frame is a minimum.</span></p>
<p><span>Calculate the value of \(l\) for which \(T\) is a minimum.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The lobster trap is designed so that the length of steel used in its frame is a minimum.</span></p>
<p><span>Calculate the minimum value of \(T\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(2\pi r + 4r + 4l\) <strong><em>(A1)(A1)(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes:</strong> Award <strong><em>(A1) </em></strong>for \(2\pi r\) (“\(\pi \)” must be seen), <strong><em>(A1) </em></strong>for \(4r\), <strong><em>(A1) </em></strong>for \(4l\). Accept equivalent forms. Accept \(T = 2\pi r + 4r + 4l\). Award a maximum of <strong><em>(A1)(A1)(A0) </em></strong>if extra terms are seen.</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(0.75 = \frac{{\pi {r^2}l}}{2}\) <strong><em>(A1)(A1)(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes:</strong> Award <strong><em>(A1) </em></strong>for their formula equated to \(0.75\), <strong><em>(A1) </em></strong>for \(l\) substituted into volume of cylinder formula, <strong><em>(A1) </em></strong>for volume of cylinder formula divided by \(2\).</span></p>
<p><span>If “\(\pi \)” not seen in part (a) accept use of \(3.14\) or greater accuracy. Award a maximum of <strong><em>(A1)(A1)(A0) </em></strong>if extra terms are seen.</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(T = 2\pi r + 4r + 4\left( {\frac{{1.5}}{{\pi {r^2}}}} \right)\) <strong><em>(A1)</em>(ft)<em>(A1)</em></strong></span></p>
<p><span>\( = (2\pi + 4)r + \frac{6}{{\pi {r^2}}}\) <strong><em>(AG)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(A1)</em>(ft) </strong>for correct rearrangement of their volume formula in part (b) seen, award <strong><em>(A1) </em></strong>for the correct substituted formula for \(T\)<em>. </em>The final line must be seen, with no incorrect working, for this second <strong><em>(A1) </em></strong>to be awarded.</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{{\text{d}}T}}{{{\text{d}}r}} = 2\pi + 4 - \frac{{12}}{{\pi {r^3}}}\) <strong><em>(A1)(A1)(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(A1) </em></strong>for \(2\pi + 4\), <strong><em>(A1)</em></strong> for \(\frac{{ - 12}}{\pi }\), <strong><em>(A1)</em></strong> for \({r^{ - 3}}\).</span></p>
<p><span> Accept 10.3 (10.2832…) for \(2\pi + 4\), accept \(–3.82\) \(–3.81971…\) for \(\frac{{ - 12}}{\pi }\). Award a maximum of <strong><em>(A1)(A1)(A0) </em></strong>if extra terms are seen.</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(2\pi + 4 - \frac{{12}}{{\pi {r^3}}} = 0\) <strong>OR</strong> \(\frac{{{\text{d}}T}}{{{\text{d}}r}} = 0\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for setting their derivative equal to zero.</span></p>
<p> </p>
<p><span>\(r = 0.718843 \ldots \) <strong>OR</strong> \(\sqrt[3]{{0.371452 \ldots }}\) <strong>OR</strong> \(\sqrt[3]{{\frac{{12}}{{\pi (2\pi + 4)}}}}\) <strong>OR</strong> \(\sqrt[3]{{\frac{{3.81971}}{{10.2832 \ldots }}}}\) <strong><em>(A1)</em></strong></span></p>
<p><span>\(r = 0.719{\text{ (m)}}\) <strong><em>(AG)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>The rounded and unrounded or formulaic answers must be seen for the final <strong><em>(A1) </em></strong>to be awarded. The use of \(3.14\) gives an unrounded answer of \(r = 0.719039 \ldots \).</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(0.75 = \frac{{\pi \times {{(0.719)}^2}l}}{2}\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substituting \(0.719\) into their volume formula. Follow through from part (b).</span></p>
<p> </p>
<p><span>\(l = 0.924{\text{ (m)}}\) \((0.923599 \ldots )\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(T = (2\pi + 4) \times 0.719 + \frac{6}{{\pi {{(0.719)}^2}}}\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for substituting \(0.719\) in their expression for \(T\). Accept alternative methods, for example substitution of their \(l\) and \(0.719\) into their part (a) (for which the answer is \(11.08961024\)). Follow through from their answer to part (a).</span></p>
<p> </p>
<p><span>\( = 11.1{\text{ (m)}}\) \((11.0880 \ldots )\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">A water container is made in the shape of a cylinder with internal height \(h\) cm and internal base radius \(r\) cm.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2017-03-07_om_08.31.01.png" alt="N16/5/MATSD/SP2/ENG/TZ0/06"></p>
<p class="p1">The water container has no top. The inner surfaces of the container are to be coated with a water-resistant material.</p>
</div>
<div class="specification">
<p class="p1">The volume of the water container is \(0.5{\text{ }}{{\text{m}}^3}\).</p>
</div>
<div class="specification">
<p class="p1">The water container is designed so that the area to be coated is minimized.</p>
</div>
<div class="specification">
<p class="p1">One can of water-resistant material coats a surface area of \(2000{\text{ c}}{{\text{m}}^2}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down a formula for \(A\), <span class="s1">the surface area to be coated.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Express this volume in \({\text{c}}{{\text{m}}^3}\).</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1"><span class="s1">Write down, in terms of \(r\) </span>and \(h\), an equation for the volume of this water container.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that \(A = \pi {r^2}\frac{{1\,000\,000}}{r}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that \(A = \pi {r^2} + \frac{{1\,000\,000}}{r}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find \(\frac{{{\text{d}}A}}{{{\text{d}}r}}\).</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Using your answer to part (e), find the value of \(r\) <span class="s1">which minimizes \(A\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find the value of this minimum area.</p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find the least number of cans of water-resistant material that will coat the area in <span class="s1">part (g).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="Apple-converted-space">\((A = ){\text{ }}\pi {r^2} + 2\pi rh\) </span><strong><em>(A1)(A1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(A1) </em></strong>for either \(\pi {r^2}\) <strong>OR</strong> \(2\pi rh\) seen. Award <strong><em>(A1) </em></strong>for two correct terms added together.</p>
<p class="p2"> </p>
<p class="p1"><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="Apple-converted-space">\(500\,000\) </span><strong><em>(A1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: <span class="Apple-converted-space"> </span></strong>Units <strong>not </strong>required.</p>
<p class="p2"> </p>
<p class="p1"><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="Apple-converted-space">\(500\,000 = \pi {r^2}h\) </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(A1)</em>(ft) </strong>for \(\pi {r^2}h\) equating to their part (b).</p>
<p class="p1"><span class="s1">Do not accept </span>unless \(V = \pi {r^2}h\) is explicitly defined as their part (b).</p>
<p class="p2"> </p>
<p class="p1"><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="Apple-converted-space">\(A = \pi {r^2} + 2\pi r\left( {\frac{{500\,000}}{{\pi {r^2}}}} \right)\) </span><strong><em>(A1)</em>(ft)<em>(M1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(A1)</em>(ft) </strong>for their \({\frac{{500\,000}}{{\pi {r^2}}}}\) seen.</p>
<p class="p1">Award <strong><em>(M1) </em></strong>for correctly substituting <strong>only</strong> \({\frac{{500\,000}}{{\pi {r^2}}}}\) into a <strong>correct </strong>part (a).</p>
<p class="p1">Award <strong><em>(A1)</em>(ft)<em>(M1) </em></strong>for rearranging part (c) to \(\pi rh = \frac{{500\,000}}{r}\) and substituting for \(\pi rh\) <span class="s1">in expression for \(A\).</span></p>
<p class="p3"> </p>
<p class="p4"><span class="Apple-converted-space">\(A = \pi {r^2} + \frac{{1\,000\,000}}{r}\) </span><span class="s2"><strong><em>(AG)</em></strong></span></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: <span class="Apple-converted-space"> </span></strong>The conclusion, \(A = \pi {r^2} + \frac{{1\,000\,000}}{r}\), must be consistent with their working seen for the <strong><em>(A1) </em></strong>to be awarded.</p>
<p class="p4">Accept \({10^6}\) as equivalent to \({1\,000\,000}\).</p>
<p class="p3"> </p>
<p class="p1"><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="Apple-converted-space">\(A = \pi {r^2} + 2\pi r\left( {\frac{{500\,000}}{{\pi {r^2}}}} \right)\) </span><strong><em>(A1)</em>(ft)<em>(M1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(A1)</em>(ft) </strong>for their \({\frac{{500\,000}}{{\pi {r^2}}}}\) seen.</p>
<p class="p1">Award <strong><em>(M1) </em></strong>for correctly substituting <strong>only</strong> \({\frac{{500\,000}}{{\pi {r^2}}}}\) into a <strong>correct </strong>part (a).</p>
<p class="p1">Award <strong><em>(A1)</em>(ft)<em>(M1) </em></strong>for rearranging part (c) to \(\pi rh = \frac{{500\,000}}{r}\) and substituting for \(\pi rh\) <span class="s1">in expression for \(A\).</span></p>
<p class="p3"> </p>
<p class="p4"><span class="Apple-converted-space">\(A = \pi {r^2} + \frac{{1\,000\,000}}{r}\) </span><span class="s2"><strong><em>(AG)</em></strong></span></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: <span class="Apple-converted-space"> </span></strong>The conclusion, \(A = \pi {r^2} + \frac{{1\,000\,000}}{r}\), must be consistent with their working seen for the <strong><em>(A1) </em></strong>to be awarded.</p>
<p class="p4">Accept \({10^6}\) as equivalent to \({1\,000\,000}\).</p>
<p class="p3"> </p>
<p class="p1"><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="Apple-converted-space">\(2\pi r - \frac{{{\text{1}}\,{\text{000}}\,{\text{000}}}}{{{r^2}}}\) </span><strong><em>(A1)(A1)(A1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(A1) </em></strong>for \(2\pi r\), <strong><em>(A1) </em></strong>for \(\frac{1}{{{r^2}}}\) or \({r^{ - 2}}\), <strong><em>(A1) </em></strong>for \( - {\text{1}}\,{\text{000}}\,{\text{000}}\).</p>
<p class="p2"> </p>
<p class="p1"><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="Apple-converted-space">\(2\pi r - \frac{{1\,000\,000}}{{{r^2}}} = 0\) </span><strong><em>(M1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for equating their part (e) to zero.</p>
<p class="p2"> </p>
<p class="p1"><span class="Apple-converted-space">\({r^3} = \frac{{1\,000\,000}}{{2\pi }}\) <strong>OR</strong> \(r = \sqrt[3]{{\frac{{1\,000\,000}}{{2\pi }}}}\) </span><strong><em>(M1)</em></strong></p>
<p class="p3"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for isolating \(r\).</p>
<p class="p2"> </p>
<p class="p1"><strong>OR</strong></p>
<p class="p1">sketch of derivative function <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1">with its zero indicated <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><span class="Apple-converted-space">\((r = ){\text{ }}54.2{\text{ }}({\text{cm}}){\text{ }}(54.1926 \ldots )\) </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="Apple-converted-space">\(\pi {(54.1926 \ldots )^2} + \frac{{1\,000\,000}}{{(54.1926 \ldots )}}\) </span><strong><em>(M1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for correct substitution of their part (f) into the given equation.</p>
<p class="p2"> </p>
<p class="p1"><span class="Apple-converted-space">\( = 27\,700{\text{ }}({\text{c}}{{\text{m}}^2}){\text{ }}(27\,679.0 \ldots )\) </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="Apple-converted-space">\(\frac{{27\,679.0 \ldots }}{{2000}}\) </span><strong><em>(M1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for dividing their part (g) by <span class="s1">2000</span>.</p>
<p class="p2"> </p>
<p class="p1"><span class="Apple-converted-space">\( = 13.8395 \ldots \) </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: <span class="Apple-converted-space"> </span></strong>Follow through from part (g).</p>
<p class="p2"> </p>
<p class="p1"><span class="s1">14 </span>(cans) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G3)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: <span class="Apple-converted-space"> </span></strong>Final <strong><em>(A1) </em></strong>awarded for rounding up their \(13.8395 \ldots \) to the next integer.</p>
<p class="p2"> </p>
<p class="p1"><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">h.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">On Monday Paco goes to a running track to train. He runs the first lap of the track</span> <span style="font-size: medium; font-family: times new roman,times;">in 120 seconds. Each lap Paco runs takes him 10 seconds longer than his previous lap.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the time, in seconds, Paco takes to run his fifth lap.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Paco runs his last lap in 260 seconds.</span></p>
<p><span>Find how many laps he has run on Monday.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the <strong>total</strong> time, in <strong>minutes,</strong> run by Paco on Monday.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>On Wednesday Paco takes Lola to train. They both run the first lap of the track in 120 seconds. Each lap Lola runs takes 1.06 times as long as her previous lap.</span></p>
<p><span>Find the time, in seconds, Lola takes to run her third lap.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the <strong>total</strong> time, in seconds, Lola takes to run her first four laps.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Each lap Paco runs again takes him 10 seconds longer than his previous lap. After a certain number of laps Paco takes less time per lap than Lola.</span></p>
<p><span>Find the number of the lap when this happens.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(120 + 10 \times 4\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><br><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for substituted AP formula, <em><strong>(A1)</strong></em> for correct substitutions. Accept a list of 4 correct terms.</span></p>
<p><br><span>= 160 <em><strong>(A1)(G3)</strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(120 + (n - 1) \times 10 = 260\) <em><strong>(M1)(M1)</strong></em></span></p>
<p><br><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for correctly substituted AP formula, <em><strong>(M1)</strong></em> for equating to 260. Accept a list of correct terms showing at least the 14<sup>th</sup> and 15<sup>th</sup> terms.</span></p>
<p><br><span>= 15 <em><strong>(A1)(G2)</strong></em></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{15}}{2}(120 + 260)\) <strong>or</strong> \(\frac{{15}}{2}(2 \times 120 + (15 - 1) \times 10)\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong></span></p>
<p><br><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for substituted AP sum formula, <em><strong>(A1)</strong></em><strong>(ft)</strong> for correct substitutions. Accept a sum of a list of 15 correct terms. Follow through from their answer to part (b).</span></p>
<p><br><span>2850 seconds <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(G2)</strong></em> for 2850 seen with no working shown.</span></p>
<p><br><span>47.5 minutes <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span><br><br></p>
<p><span><strong>Notes:</strong> A final <em><strong>(A1)</strong></em><strong>(ft)</strong> can be awarded for correct conversion from seconds</span> <span>into minutes of their incorrect answer.</span> <span>Follow through from their answer to part (b).</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(120 \times {1.06^{3 - 1}}\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><br><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for substituted GP formula, <em><strong>(A1)</strong></em> for correct substitutions. Accept a list of 3 correct terms.</span></p>
<p><br><span>= 135 (134.832) <em><strong>(A1)(G2)</strong></em></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({S_4} = \frac{{120({{1.06}^4} - 1)}}{{(1.06 - 1)}}\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><br><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for substituted GP sum formula, <em><strong>(A1)</strong></em> for correct substitutions. Accept a sum of a list of 4 correct terms.</span></p>
<p><br><span>= 525 (524.953...) <em><strong>(A1)(G2)</strong></em></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(120 + (n - 1) \times 10 < 120 \times {1.06^{n - 1}}\) <em><strong>(M1)(M1)</strong></em></span></p>
<p><br><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for correct left hand side, <strong><em>(M1)</em></strong> for correct right hand side. Accept an equation. Follow through from their expressions given in parts (a) and (d).</span></p>
<p><br><strong><span>OR</span></strong></p>
<p><span>List of at least 2 terms for both sequences (120, 130, … and 120, 127.2, …) <em><strong>(M1)</strong></em></span></p>
<p><span>List of correct 12<sup>th</sup> and 13<sup>th</sup> terms for both sequences (..., 230, 240 and …, 227.8, 241.5) <em><strong>(M1)</strong></em></span></p>
<p><strong><span>OR</span></strong></p>
<p><span>A sketch with a line and an exponential curve, <em><strong>(M1)</strong></em></span></p>
<p><span>An indication of the correct intersection point <em><strong>(M1)</strong></em></span></p>
<p><span>13<sup>th</sup> lap <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Do not award the final <em><strong>(A1)</strong></em><strong>(ft)</strong> if final answer is not a positive integer.</span></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Consider the function \(f(x) = {x^3} + \frac{{48}}{x}{\text{, }}x \ne 0\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate \(f(2)\) .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Sketch the graph of the function \(y = f(x)\) for \( - 5 \leqslant x \leqslant 5\) and \( - 200 \leqslant y \leqslant 200\) .</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find \(f'(x)\) .</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find \(f'(2)\) .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the coordinates of the local maximum point on the graph of \(f\) .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<address><span>Find the range of \(f\) .</span></address>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the gradient of the tangent to the graph of \(f\) at \(x = 1\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>There is a second point on the graph of \(f\) at which the tangent is parallel to the tangent at \(x = 1\). </span></p>
<p><span>Find the \(x\)-coordinate of this point.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(f(2) = {2^3} + \frac{{48}}{2}\) <em><strong>(M1)</strong></em></span></p>
<p><span>\(= 32\) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><em><strong>[2 marks]<br></strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><img src="data:image/png;base64,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" alt></span></p>
<p><span><em><strong>(A1)</strong></em> for labels and some indication of scale in an appropriate window</span><br><span><em><strong>(A1)</strong></em> for correct shape of the two unconnected and smooth branches</span><br><span><em><strong>(A1)</strong></em> for maximum and minimum in approximately correct positions</span><br><span><em><strong>(A1)</strong></em> for asymptotic behaviour at \(y\)-axis <em><strong>(A4)</strong></em></span></p>
<p><span><strong>Notes:</strong> Please be rigorous.</span><br><span>The axes need not be drawn with a ruler.</span><br><span>The branches must be smooth: a single continuous line that does not deviate from its proper direction.</span><br><span>The position of the maximum and minimum points must be symmetrical about the origin.</span><br><span>The \(y\)-axis must be an asymptote for both branches. Neither branch should touch the axis nor must the curve approach the</span><br><span>asymptote then deviate away later.</span></p>
<p><span><em><strong>[4 marks]</strong></em><br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(f'(x) = 3{x^2} - \frac{{48}}{{{x^2}}}\) <em><strong>(A1)(A1)(A1)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(A1)</strong></em> for \(3{x^2}\) , <em><strong>(A1)</strong></em> for \( - 48\) , <em><strong>(A1)</strong></em> for \({x^{ - 2}}\) . Award a maximum of <em><strong>(A1)(A1)(A0)</strong></em> if extra terms seen.</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(f'(2) = 3{(2)^2} - \frac{{48}}{{{{(2)}^2}}}\) <em><strong>(M1)</strong></em></span> </p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution of \(x = 2\) into their derivative.</span></p>
<p> </p>
<p><span><span>\(= 0\)</span><span> <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G1)</strong></em></span></span></p>
<p><span><span><em><strong>[2 marks]<br></strong></em></span></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(( - 2{\text{, }} - 32)\) or \(x = - 2\), \(y = - 32\) <em><strong>(G1)(G1)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(G0)(G0)</strong></em> for \(x = - 32\), \(y = - 2\) . Award at most <em><strong>(G0)(G1)</strong></em> if parentheses are omitted.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\{ y \geqslant 32\} \cup \{ y \leqslant - 32\} \) <em><strong>(A1)(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong>Notes:</strong> Award <strong><em>(A1)</em>(ft)</strong> \(y \geqslant 32\) or \(y > 32\) seen, <strong><em>(A1)</em>(ft)</strong> for \(y \leqslant - 32\) or \(y < - 32\) , <em><strong>(A1)</strong></em> for weak (non-strict) inequalities used in both of the above.</span><br><span>Accept use of \(f\) in place of \(y\). Accept alternative interval notation.</span><br><span>Follow through from their (a) and (e).</span><br><span>If domain is given award <em><strong>(A0)(A0)(A0)</strong></em>.</span><br><span>Award <strong><em>(A0)(A1)</em>(ft)<em>(A1)</em>(ft)</strong> for \([ - 200{\text{, }} - 32]\) , \([32{\text{, }}200]\).</span><br><span>Award <em><strong>(A0)(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong> for \(] - 200{\text{, }} - 32]\) , \([32{\text{, }}200[\).</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(f'(1) = - 45\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for \(f'(1)\) seen or substitution of \(x = 1\) into their derivative. Follow through from their derivative if working is seen.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(x = - 1\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for equating their derivative to their \( - 45\) or for seeing parallel lines on their graph in the approximately correct position.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">As usual and by intention, this question caused the most difficulty in terms of its content; however, for those with a sound grasp of the topic, there were many very successful attempts. Much of the question could have been answered successfully by using the GDC, however, it was also clear that a number of candidates did not connect the question they were attempting with the curve that they had either sketched or were viewing on their GDC. Where there was no alternative to using the calculus, many candidates struggled.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority of sketches were drawn sloppily and with little attention to detail. Teachers must impress on their students that a mathematical sketch is designed to illustrate the main points of a curve – the smooth nature by which it changes, any symmetries (reflectional or rotational), positions of turning points, intercepts with axes and the behaviour of a curve as it approaches an asymptote. There must also be some indication of the dimensions used for the “window”.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Differentiation of terms with negative indices remains a testing process for the majority; it will continue to be tested.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">It was also evident that some centres do not teach the differential calculus.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">As usual and by intention, this question caused the most difficulty in terms of its content; however, for those with a sound grasp of the topic, there were many very successful attempts. Much of the question could have been answered successfully by using the GDC, however, it was also clear that a number of candidates did not connect the question they were attempting with the curve that they had either sketched or were viewing on their GDC. Where there was no alternative to using the calculus, many candidates struggled.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority of sketches were drawn sloppily and with little attention to detail. Teachers must impress on their students that a mathematical sketch is designed to illustrate the main points of a curve – the smooth nature by which it changes, any symmetries (reflectional or rotational), positions of turning points, intercepts with axes and the behaviour of a curve as it approaches an asymptote. There must also be some indication of the dimensions used for the “window”.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Differentiation of terms with negative indices remains a testing process for the majority; it will continue to be tested.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">It was also evident that some centres do not teach the differential calculus.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">As usual and by intention, this question caused the most difficulty in terms of its content; however, for those with a sound grasp of the topic, there were many very successful attempts. Much of the question could have been answered successfully by using the GDC, however, it was also clear that a number of candidates did not connect the question they were attempting with the curve that they had either sketched or were viewing on their GDC. Where there was no alternative to using the calculus, many candidates struggled.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority of sketches were drawn sloppily and with little attention to detail. Teachers must impress on their students that a mathematical sketch is designed to illustrate the main points of a curve – the smooth nature by which it changes, any symmetries (reflectional or rotational), positions of turning points, intercepts with axes and the behaviour of a curve as it approaches an asymptote. There must also be some indication of the dimensions used for the “window”.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Differentiation of terms with negative indices remains a testing process for the majority; it will continue to be tested.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">It was also evident that some centres do not teach the differential calculus.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">As usual and by intention, this question caused the most difficulty in terms of its content; however, for those with a sound grasp of the topic, there were many very successful attempts. Much of the question could have been answered successfully by using the GDC, however, it was also clear that a number of candidates did not connect the question they were attempting with the curve that they had either sketched or were viewing on their GDC. Where there was no alternative to using the calculus, many candidates struggled.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority of sketches were drawn sloppily and with little attention to detail. Teachers must impress on their students that a mathematical sketch is designed to illustrate the main points of a curve – the smooth nature by which it changes, any symmetries (reflectional or rotational), positions of turning points, intercepts with axes and the behaviour of a curve as it approaches an asymptote. There must also be some indication of the dimensions used for the “window”.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Differentiation of terms with negative indices remains a testing process for the majority; it will continue to be tested.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">It was also evident that some centres do not teach the differential calculus.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">As usual and by intention, this question caused the most difficulty in terms of its content; however, for those with a sound grasp of the topic, there were many very successful attempts. Much of the question could have been answered successfully by using the GDC, however, it was also clear that a number of candidates did not connect the question they were attempting with the curve that they had either sketched or were viewing on their GDC. Where there was no alternative to using the calculus, many candidates struggled.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority of sketches were drawn sloppily and with little attention to detail. Teachers must impress on their students that a mathematical sketch is designed to illustrate the main points of a curve – the smooth nature by which it changes, any symmetries (reflectional or rotational), positions of turning points, intercepts with axes and the behaviour of a curve as it approaches an asymptote. There must also be some indication of the dimensions used for the “window”.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Differentiation of terms with negative indices remains a testing process for the majority; it will continue to be tested.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">It was also evident that some centres do not teach the differential calculus.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">As usual and by intention, this question caused the most difficulty in terms of its content; however, for those with a sound grasp of the topic, there were many very successful attempts. Much of the question could have been answered successfully by using the GDC, however, it was also clear that a number of candidates did not connect the question they were attempting with the curve that they had either sketched or were viewing on their GDC. Where there was no alternative to using the calculus, many candidates struggled.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority of sketches were drawn sloppily and with little attention to detail. Teachers must impress on their students that a mathematical sketch is designed to illustrate the main points of a curve – the smooth nature by which it changes, any symmetries (reflectional or rotational), positions of turning points, intercepts with axes and the behaviour of a curve as it approaches an asymptote. There must also be some indication of the dimensions used for the “window”.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Differentiation of terms with negative indices remains a testing process for the majority; it will continue to be tested.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">It was also evident that some centres do not teach the differential calculus.</span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">As usual and by intention, this question caused the most difficulty in terms of its content; however, for those with a sound grasp of the topic, there were many very successful attempts. Much of the question could have been answered successfully by using the GDC, however, it was also clear that a number of candidates did not connect the question they were attempting with the curve that they had either sketched or were viewing on their GDC. Where there was no alternative to using the calculus, many candidates struggled.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority of sketches were drawn sloppily and with little attention to detail. Teachers must impress on their students that a mathematical sketch is designed to illustrate the main points of a curve – the smooth nature by which it changes, any symmetries (reflectional or rotational), positions of turning points, intercepts with axes and the behaviour of a curve as it approaches an asymptote. There must also be some indication of the dimensions used for the “window”.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Differentiation of terms with negative indices remains a testing process for the majority; it will continue to be tested.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">It was also evident that some centres do not teach the differential calculus.</span></p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">As usual and by intention, this question caused the most difficulty in terms of its content; however, for those with a sound grasp of the topic, there were many very successful attempts. Much of the question could have been answered successfully by using the GDC, however, it was also clear that a number of candidates did not connect the question they were attempting with the curve that they had either sketched or were viewing on their GDC. Where there was no alternative to using the calculus, many candidates struggled.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority of sketches were drawn sloppily and with little attention to detail. Teachers must impress on their students that a mathematical sketch is designed to illustrate the main points of a curve – the smooth nature by which it changes, any symmetries (reflectional or rotational), positions of turning points, intercepts with axes and the behaviour of a curve as it approaches an asymptote. There must also be some indication of the dimensions used for the “window”.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Differentiation of terms with negative indices remains a testing process for the majority; it will continue to be tested.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">It was also evident that some centres do not teach the differential calculus.</span></p>
<div class="question_part_label">h.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The Brahma chicken produces eggs with weights in grams that are normally distributed about a mean of \(55{\text{ g}}\) with a standard deviation of \(7{\text{ g}}\). The eggs are classified as small, medium, large or extra large according to their weight, as shown in the table below.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img 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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Sketch a diagram of the distribution of the weight of Brahma chicken eggs. On your diagram, show clearly the boundaries for the classification of the eggs.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>An egg is chosen at random. Find the probability that the egg is</span><br><span>(i) medium;</span><br><span>(ii) extra large.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>There is a probability of \(0.3\) that a randomly chosen egg weighs more than \(w\) grams.</span></p>
<p><span>Find \(w\) .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The probability that a Brahma chicken produces a large size egg is \(0.121\). Frank’s Brahma chickens produce \(2000\) eggs each month.</span></p>
<p><span>Calculate an estimate of the number of large size eggs produced by Frank’s chickens each month.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The selling price, in US dollars (USD), of each size is shown in the table below.</span><br><span><img src="data:image/png;base64,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" alt></span><br><span>The probability that a Brahma chicken produces a small size egg is \(0.388\).</span></p>
<p><span>Estimate the monthly income, in USD, earned by selling the \(2000\) eggs. Give your answer correct to two decimal places.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><img src="data:image/png;base64,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" alt></span></p>
<p><span><em><strong>(A1)</strong></em> for normal curve with mean of \(55\) indicated</span><br><span><em><strong>(A1)</strong></em> for three lines in approximately the correct position</span><br><span><em><strong>(A1)</strong></em> for labels on the three lines <em><strong>(A1)(A1)(A1)</strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \({\text{P}}(53 \leqslant {\text{Weight}} < 63) = 0.486\) (\(0.485902 \ldots \)) <em><strong>(M1)(A1)(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct region indicated on labelled diagram.</span></p>
<p><br><span>(ii) \({\text{P}}({\text{Weight}} > 73) = 0.00506\) (\(0.00506402\)) <em><strong>(M1)(A1)(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct region indicated on labelled diagram.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{P}}({\text{Weight}} > w) = 0.3\) <em><strong>(M1)</strong></em></span><br><span>\(w = 58.7\) (\(58.6708 \ldots \)) <em><strong>(A1)(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct region indicated on labelled diagram.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Expected number of large size eggs</span></p>
<p><span>\( = 2000(0.121)\) <em><strong>(M1)</strong></em></span><br><span>\( = 242\) <em><strong>(A1)(G2)</strong></em></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Expected income</span><br><span>\( = 2000 \times 0.30 \times 0.388 + 2000 \times 0.50 \times 0.486 + 2000 \times 0.65 \times 0.121 + 2000 \times 0.80 \times 0.00506\) <em><strong>(M1)(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for their correct products, <em><strong>(M1)</strong></em> for addition of 4 terms.</span></p>
<p><span> </span></p>
<p><span>\( = 884.20{\text{ USD}}\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><span><strong>Note:</strong> Follow through from part (b).</span></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">A manufacturer has a contract to make \(2600\) solid blocks of wood. Each block is in the shape of a right triangular prism, \({\text{ABCDEF}}\), as shown in the diagram.</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">\({\text{AB}} = 30{\text{ cm}},{\text{ BC}} = 24{\text{ cm}},{\text{ CD}} = 25{\text{ cm}}\) and angle \({\rm{A\hat BC}} = 35^\circ {\text{ }}\).</span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; text-align: center; margin: 0px;"><br><span style="font-family: 'times new roman', times; font-size: medium;"><img src="images/Schermafbeelding_2014-09-03_om_12.17.46.png" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the length of \({\text{AC}}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the area of triangle \({\text{ABC}}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Assuming that no wood is wasted, show that the volume of wood required to make all \(2600\) blocks is \({\text{13}}\,{\text{400}}\,{\text{000 c}}{{\text{m}}^3}\), correct to three significant figures.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write \({\text{13}}\,{\text{400}}\,{\text{000}}\) in the form \(a \times {10^k}\) where \(1 \leqslant a < 10\) and \(k \in \mathbb{Z}\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that the total surface area of one block is \({\text{2190 c}}{{\text{m}}^2}\), correct to three significant figures.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The blocks are to be painted. One litre of paint will cover \(22{\text{ }}{{\text{m}}^2}\).</span></p>
<p><span>Calculate the number of litres required to paint all \(2600\) blocks.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{A}}{{\text{C}}^2} = {30^2} + {24^2} - 2 \times 30 \times 24 \times \cos 35^\circ \) <strong><em>(M1)(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substituted cosine rule formula,</span></p>
<p><span> <strong><em>(A1) </em></strong>for correct substitutions.</span></p>
<p> </p>
<p><span>\({\text{AC}} = 17.2{\text{ cm}}\) \((17.2168…)\) <strong><em>(A1)(G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Use of radians gives \(52.7002…\) Award <strong><em>(M1)(A1)(A0)</em></strong>.</span></p>
<p><span> No marks awarded in this part of the question where candidates assume that angle \({\text{ACB}} = 90^\circ \).</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong><em>Units are required in part (b).</em></strong></span></p>
<p><span>Area of triangle \({\text{ABC = }}\frac{1}{2} \times 24 \times 30 \times \sin 35^\circ \) <strong><em>(M1)(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for substitution into area formula, <strong><em>(A1) </em></strong>for correct substitutions.</span></p>
<p><span> <strong>Special Case: </strong>Where a candidate has assumed that angle \({\text{ACB}} = 90^\circ \) in part (a), award <strong><em>(M1)(A1) </em></strong>for a correct alternative substituted formula for the area of the triangle \(\left( {ie{\text{ }}\frac{1}{2} \times {\text{base}} \times {\text{height}}} \right)\).</span></p>
<p> </p>
<p><span>\( = 206{\text{ c}}{{\text{m}}^2}\) \((206.487 \ldots {\text{c}}{{\text{m}}^2})\) <strong><em>(A1)(G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Use of radians gives negative answer, \(–154.145…\) Award (<strong><em>M1)(A1)(A0)</em></strong>.</span></p>
<p><span> <strong>Special Case: </strong>Award <strong><em>(A1)</em>(ft) </strong>where the candidate has arrived at an area which is correct to the standard rounding rules from their lengths (units required).</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(206.487… \times 25 \times 2600\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for multiplication of their answer to part (b) by \(25\) and \(2600\).</span></p>
<p> </p>
<p><span>\({\text{13}}\,{\text{421}}\,{\text{688.61}}\) <strong><em>(A1)</em></strong></span></p>
<p> </p>
<address><span><strong>Note: </strong>Accept unrounded answer of \({\text{13}}\,{\text{390}}\,{\text{000}}\) for use of \(206\).</span></address>
<p> </p>
<p><span>\({\text{13}}\,{\text{400}}\,{\text{000}}\) <strong><em>(AG)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>The final <strong><em>(A1) </em></strong>cannot be awarded unless both the unrounded and rounded answers are seen.</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(1.34 \times {10^7}\) <strong><em>(A2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes:</strong></span><strong> </strong><span>Award <em><strong>(A2)</strong></em> for the correct answer<span>.</span></span></p>
<p><span> Award <strong><em>(A1)(A0) </em></strong>for \(1.34\) and an incorrect index value.</span></p>
<p><span> Award <strong><em>(A0)(A0) </em></strong>for any other combination (including answers such as \(13.4 \times {10^6}\)).</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(2 \times 206.487 \ldots + 24 \times 25 + 30 \times 25 + 17.2168 \ldots \times 25\) <strong><em>(M1)(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for multiplication of their answer to part (b) by \(2\) for area of two triangular ends, <strong><em>(M1) </em></strong>for three correct rectangle areas using \(24\), \(30\) and their \(17.2\).</span></p>
<p> </p>
<p><span>\(2193.26…\) <strong><em>(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Accept \(2192\) for use of 3 sf answers.</span></p>
<p> </p>
<p><span>\(2190\) <strong><em>(AG)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>The final <strong><em>(A1) </em></strong>cannot be awarded unless both the unrounded and rounded answers are seen.</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{2190 \times 2600}}{{22 \times 10\,000}}\) <strong><em>(M1)(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for multiplication by \(2600\) and division by \(22\), <strong><em>(M1) </em></strong>for division by \({10\,000}\).</span></p>
<p><span> The use of \(22\) may be implied <em>ie </em>division by \(2200\) would be acceptable.</span></p>
<p> </p>
<p><span>\(25.9\) litres \((25.8818…)\) <strong><em>(A1)(G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Accept \(26\).</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">Some candidates assumed that triangle ACB was a right angled triangle with angle \({\text{ACB}} = 90^\circ \). Such candidates earned no marks for part (a) but were able to recover most of the marks in the remainder of the question. For those candidates who correctly used the cosine rule for part (a), most achieved all 3 marks for this part and used a correct formula for the area of the triangle in part (b) to obtain at least 2 marks for this part. The final mark was not awarded, however, if no units or the incorrect units were given. Parts (c) and (e) were generally well done with many candidates showing the unrounded answer before the required answer. Part (f) proved to be quite problematic for many candidates. Whilst many were able to earn a method mark for \(\frac{{2190 \times 2600}}{{22}}\), a significant number of these candidates were unable to convert the units correctly and very few correct answers were seen. Indeed, the most popular answer seemed to be 2590 litres.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">Some candidates assumed that triangle ACB was a right angled triangle with angle \({\text{ACB}} = 90^\circ \). Such candidates earned no marks for part (a) but were able to recover most of the marks in the remainder of the question. For those candidates who correctly used the cosine rule for part (a), most achieved all 3 marks for this part and used a correct formula for the area of the triangle in part (b) to obtain at least 2 marks for this part. The final mark was not awarded, however, if no units or the incorrect units were given. Parts (c) and (e) were generally well done with many candidates showing the unrounded answer before the required answer. Part (f) proved to be quite problematic for many candidates. Whilst many were able to earn a method mark for \(\frac{{2190 \times 2600}}{{22}}\), a significant number of these candidates were unable to convert the units correctly and very few correct answers were seen. Indeed, the most popular answer seemed to be 2590 litres.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">Some candidates assumed that triangle ACB was a right angled triangle with angle \({\text{ACB}} = 90^\circ \). Such candidates earned no marks for part (a) but were able to recover most of the marks in the remainder of the question. For those candidates who correctly used the cosine rule for part (a), most achieved all 3 marks for this part and used a correct formula for the area of the triangle in part (b) to obtain at least 2 marks for this part. The final mark was not awarded, however, if no units or the incorrect units were given. Parts (c) and (e) were generally well done with many candidates showing the unrounded answer before the required answer. Part (f) proved to be quite problematic for many candidates. Whilst many were able to earn a method mark for \(\frac{{2190 \times 2600}}{{22}}\), a significant number of these candidates were unable to convert the units correctly and very few correct answers were seen. Indeed, the most popular answer seemed to be 2590 litres.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">Some candidates assumed that triangle ACB was a right angled triangle with angle \({\text{ACB}} = 90^\circ \). Such candidates earned no marks for part (a) but were able to recover most of the marks in the remainder of the question. For those candidates who correctly used the cosine rule for part (a), most achieved all 3 marks for this part and used a correct formula for the area of the triangle in part (b) to obtain at least 2 marks for this part. The final mark was not awarded, however, if no units or the incorrect units were given. Parts (c) and (e) were generally well done with many candidates showing the unrounded answer before the required answer. Part (f) proved to be quite problematic for many candidates. Whilst many were able to earn a method mark for \(\frac{{2190 \times 2600}}{{22}}\), a significant number of these candidates were unable to convert the units correctly and very few correct answers were seen. Indeed, the most popular answer seemed to be 2590 litres.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">Some candidates assumed that triangle ACB was a right angled triangle with angle \({\text{ACB}} = 90^\circ \). Such candidates earned no marks for part (a) but were able to recover most of the marks in the remainder of the question. For those candidates who correctly used the cosine rule for part (a), most achieved all 3 marks for this part and used a correct formula for the area of the triangle in part (b) to obtain at least 2 marks for this part. The final mark was not awarded, however, if no units or the incorrect units were given. Parts (c) and (e) were generally well done with many candidates showing the unrounded answer before the required answer. Part (f) proved to be quite problematic for many candidates. Whilst many were able to earn a method mark for \(\frac{{2190 \times 2600}}{{22}}\), a significant number of these candidates were unable to convert the units correctly and very few correct answers were seen. Indeed, the most popular answer seemed to be 2590 litres.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">Some candidates assumed that triangle ACB was a right angled triangle with angle \({\text{ACB}} = 90^\circ \). Such candidates earned no marks for part (a) but were able to recover most of the marks in the remainder of the question. For those candidates who correctly used the cosine rule for part (a), most achieved all 3 marks for this part and used a correct formula for the area of the triangle in part (b) to obtain at least 2 marks for this part. The final mark was not awarded, however, if no units or the incorrect units were given. Parts (c) and (e) were generally well done with many candidates showing the unrounded answer before the required answer. Part (f) proved to be quite problematic for many candidates. Whilst many were able to earn a method mark for \(\frac{{2190 \times 2600}}{{22}}\), a significant number of these candidates were unable to convert the units correctly and very few correct answers were seen. Indeed, the most popular answer seemed to be 2590 litres.</span></p>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">Consider the function \(f(x) = \frac{{96}}{{{x^2}}} + kx\), where \(k\) is a constant and \(x \ne 0\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down \(f'(x)\).</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The graph of \(y = f(x)\) has a local minimum point at \(x = 4\).</p>
<p class="p1">Show that \(k = 3\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The graph of \(y = f(x)\) has a local minimum point at \(x = 4\).</p>
<p class="p1">Find \(f(2)\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The graph of \(y = f(x)\) has a local minimum point at \(x = 4\).</p>
<p class="p1">Find \(f'(2)\)</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The graph of \(y = f(x)\) has a local minimum point at \(x = 4\).</p>
<p class="p1">Find the equation of the normal to the graph of \(y = f(x)\) at the point where \(x = 2\).</p>
<p class="p1">Give your answer in the form \(ax + by + d = 0\) where \(a,{\text{ }}b,{\text{ }}d \in \mathbb{Z}\).</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The graph of \(y = f(x)\) has a local minimum point at \(x = 4\).</p>
<p class="p1"><span class="s1">Sketch the graph of \(y = f(x)\)</span>, for \( - 5 \leqslant x \leqslant 10\) and \( - 10 \leqslant y \leqslant 100\)<span class="s1">.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The graph of \(y = f(x)\) has a local minimum point at \(x = 4\).</p>
<p class="p1">Write down the coordinates of the point where the graph of \(y = f(x)\) intersects the \(x\)-axis.</p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The graph of \(y = f(x)\) has a local minimum point at \(x = 4\).</p>
<p class="p1">State the values of \(x\) for which \(f(x)\) is decreasing.</p>
<div class="marks">[2]</div>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{{ - 192}}{{{x^3}}} + k\) <span class="Apple-converted-space"> </span><strong><em>(A1)(A1)(A1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(A1) </em></strong>for \(-192\), <strong><em>(A1) </em></strong>for \({x^{ - 3}}\), <strong><em>(A1) </em></strong>for \(k\) (only).</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">at local minimum \(f'(x) = 0\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for seeing \(f'(x) = 0\) (may be implicit in their working).</p>
<p class="p2"> </p>
<p class="p1">\(\frac{{ - 192}}{{{4^3}}} + k = 0\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<p class="p1">\(k = 3\) <span class="Apple-converted-space"> </span><strong><em>(AG)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(A1) </em></strong>for substituting \(x = 4\) in their \(f'(x) = 0\), provided it leads to \(k = 3\)<em>. </em>The conclusion \(k = 3\) must be seen for the <strong><em>(A1) </em></strong>to be awarded.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{{96}}{{{2^2}}} + 3(2)\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note:<span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for substituting \(x = 2\) and \(k = 3\) in \(f(x)\).</p>
<p class="p2"> </p>
<p class="p1">\( = 30\) <span class="Apple-converted-space"> </span><strong><em>(A1)(G2)</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{ - 192}}{{{2^3}}} + 3\) <strong><em>(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substituting \(x = 2\) and \(k = 3\) in their \(f'(x)\).</p>
<p> </p>
<p>\( = - 21\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p><strong>Note: </strong>Follow through from part (a).</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(y - 30 = \frac{1}{{21}}(x - 2)\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(M1)</em></strong></p>
<p class="p1"><strong>Notes:<span class="Apple-converted-space"> </span></strong>Award <strong><em>(A1)</em>(ft) </strong>for their \(\frac{1}{{21}}\) seen, <strong><em>(M1) </em></strong>for the correct substitution of their point and their normal gradient in equation of a line.</p>
<p class="p1">Follow through from part (c) and part (d).</p>
<p class="p2"> </p>
<p class="p1"><strong>OR</strong></p>
<p class="p1">gradient of normal \( = \frac{1}{{21}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p1">\(30 = \frac{1}{{21}} \times 2 + c\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1">\(c = 29\frac{{19}}{{21}}\)</p>
<p class="p1">\(y = \frac{1}{{21}}x + 29\frac{{19}}{{21}}\;\;\;(y = 0.0476x + 29.904)\)</p>
<p class="p1">\(x - 21y + 628 = 0\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Notes: <span class="Apple-converted-space"> </span></strong>Accept equivalent answers.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="s1"><img src="images/Schermafbeelding_2015-12-21_om_09.26.22.png" alt> <span class="Apple-converted-space"> </span></span><strong><em>(A1)(A1)(A1)(A1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(A1) </em></strong>for correct window (at least one value, other than zero, labelled on each axis), the axes must also be labelled; <strong><em>(A1) </em></strong>for a smooth curve with the correct shape (graph should not touch \(y\)-axis and should not curve away from the \(y\)-axis), on the given domain; <strong><em>(A1) </em></strong>for axis intercept in approximately the correct position (nearer \(-5\)<span class="s2"> </span>than zero); <strong><em>(A1) </em></strong>for local minimum in approximately the correct position (first quadrant, nearer the \(y\)-axis than \(x = 10\)).</p>
<p class="p1">If there is no scale, award a maximum of <strong><em>(A0)(A1)(A0)(A1) </em></strong>– the final <strong><em>(A1) </em></strong>being awarded for the zero and local minimum in approximately correct positions relative to each other.</p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(( - 3.17,{\text{ }}0)\;\;\;\left( {( - 3.17480 \ldots ,{\text{ 0)}}} \right)\) <strong><em>(G1)(G1)</em></strong></p>
<p> </p>
<p><strong>Notes: </strong>If parentheses are omitted award <strong><em>(G0)(G1)</em>(ft)</strong>.</p>
<p>Accept \(x = - 3.17,{\text{ }}y = 0\). Award <strong><em>(G1) </em></strong>for \(-3.17\) seen.</p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(0 < x \leqslant 4{\text{ or }}0 < x < 4\) <span class="Apple-converted-space"> </span><strong><em>(A1)(A1)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(A1) </em></strong>for correct end points of interval, <strong><em>(A1) </em></strong>for correct notation (note: lower inequality must be strict).</p>
<p class="p1">Award a maximum of <strong><em>(A1)(A0) </em></strong>if \(y\) or \(f(x)\) used in place of \(x\).</p>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>Differentiation of terms including negative indices remains a testing process; it will continue to be tested. There was, however, a noticeable improvement in responses compared to previous years. The parameter k was problematic for a number of candidates.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>In part (b), the manipulation of the derivative to find the local minimum point caused difficulties for all but the most able; note that a GDC approach is not accepted in such questions and that candidates are expected to be able to apply the theory of the calculus as appropriate. Further, once a parameter is given, candidates are expected to use this value in subsequent parts.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Parts (c) and (d) were accessible and all but the weakest candidates scored well.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Parts (c) and (d) were accessible and all but the weakest candidates scored well.</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Part (e) discriminated at the highest level; the gradient of the normal often was not used, the form of the answer not given correctly.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Curve sketching is a skill that most candidates find very difficult; axes must be labelled and some indication of the window must be present; care must be taken with the domain and the range; any asymptotic behaviour must be indicated. It was very rare to see sketches that attained full marks, yet this should be a skill that all can attain. There were many no attempts seen, yet some of these had correct answers to part (g).</p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Curve sketching is a skill that most candidates find very difficult; axes must be labelled and some indication of the window must be present; care must be taken with the domain and the range; any asymptotic behaviour must be indicated. It was very rare to see sketches that attained full marks, yet this should be a skill that all can attain. There were many no attempts seen, yet some of these had correct answers to part (g).</p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Part (h) was not well attempted in the main; decreasing (and increasing) functions is a testing concept for the majority.</p>
<div class="question_part_label">h.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Cedric wants to buy an €8000 car. The car salesman offers him a loan repayment option of a 25 % deposit followed by 12 equal monthly payments of €600 .</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the amount of the deposit.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the total cost of the loan under this repayment scheme.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Cedric’s mother decides to help him by giving him an interest free loan of €8000 to buy the car. She arranges for him to repay the loan by paying her €<em>x</em> in the first month and €<em>y</em> in every following month until the €8000 is repaid.</span></p>
<p><span>The total amount that Cedric’s mother receives after <strong>12</strong> months is €3500. This can be written using the equation <em>x</em> +11<em>y</em> = 3500. The total amount that Cedric’s mother receives after <strong>24</strong> months is €7100.</span></p>
<p><span>Write down a second equation involving <em>x</em> and <em>y</em>.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Cedric’s mother decides to help him by giving him an interest free loan of €8000 to buy the car. She arranges for him to repay the loan by paying her €<em>x</em> in the first month and €<em>y</em> in every following month until the €8000 is repaid.</span></p>
<p><span>The total amount that Cedric’s mother receives after <strong>12</strong> months is €3500. This can be written using the equation <em>x</em> +11<em>y</em> = 3500. The total amount that Cedric’s mother receives after <strong>24</strong> months is €7100.</span></p>
<p><span>Write down the value of <em>x</em> and the value of <em>y</em>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Cedric’s mother decides to help him by giving him an interest free loan of €8000 to buy the car. She arranges for him to repay the loan by paying her €<em>x</em> in the first month and €<em>y</em> in every following month until the €8000 is repaid.</span></p>
<p><span>The total amount that Cedric’s mother receives after <strong>12</strong> months is €3500. This can be written using the equation <em>x</em> +11<em>y</em> = 3500. The total amount that Cedric’s mother receives after <strong>24</strong> months is €7100.</span></p>
<p><span>Calculate the number of months it will take Cedric’s mother to receive the €8000.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Cedric decides to buy a cheaper car for €6000 and invests the remaining €2000 at his bank. The bank offers two investment options over three years.</span></p>
<p><span>Option A: Compound interest at an annual rate of 8 %.</span></p>
<p><span>Option B: Compound interest at a nominal annual rate of 7.5 % , <strong>compounded monthly</strong>.</span></p>
<p><em><strong><span>Express each answer in part (f) to the nearest euro.</span></strong></em></p>
<p><span>Calculate the value of his investment at the end of three years if he chooses</span></p>
<p><span>(i) Option A;</span></p>
<p><span>(ii) Option B.</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>2000 (euros) <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(2000 + 12 \times 600\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for addition of two correct terms.</span></p>
<p><span><br>9200 (euros) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Follow through from their part (a).</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>x</em> + 23<em>y</em> = 7100 <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>x</em> = 200, <em>y</em> = 300 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><em><strong>[2 marks]<br></strong></em></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(200 + n \times 300 = 8000\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for setting up the equation. Follow through from their <em>x</em></span> <span>and <em>y</em> found in part (d).</span></p>
<p><br><span><em>n</em> = 26 <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span>26 + 1 = 27 (months) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><span><strong>Notes:</strong> Middle line <em>n</em> = 26 may be implied if correct answer given. </span><span>The final <em><strong>(A1)</strong></em><strong>(ft)</strong> is for adding 1 to their value of <em>n</em> (even if it is </span><span>incorrect). Follow through from their part (d).</span> <span>If the final answer is not a positive integer award at most</span> <em><strong><span>(M1)(A1)</span></strong></em><strong><span>(ft)</span></strong><em><strong><span>(A0)</span></strong></em><span>.</span> <span>Award <em><strong>(G2)</strong></em> for final answer of 26.</span></p>
<p><br><strong><span>OR</span></strong></p>
<p><span>\(\frac{{8000 - 7100}}{{300}} + 24\)</span><span> </span><span> <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for division of difference by their value of <em>y</em>, <em><strong>(A1)</strong></em> for</span> <span>24 seen.</span></p>
<p><br><span>27 (months) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><span><strong>Note:</strong> Follow through from their value of <em>y</em>.</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<p><span> </span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(2000{\left( {1 + \frac{8}{{100}}} \right)^3}\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in compound interest formula.</span></p>
<p><br><span>2519 (euros) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> If the answer is not given to the nearest euro award at most <em><strong>(M1)(A0)</strong></em>.</span></p>
<p><span><br>(ii) </span><span>\(2000{\left( {1 + \frac{7.5}{{100 \times 12}}} \right)^{3\times12}}\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution in compound interest formula, <em><strong>(A1)</strong></em> for correct substitutions.</span></p>
<p><span><br>2503 (euros) <em><strong>(A1)(G2)</strong></em> </span></p>
<p><span><strong>Note:</strong> If the answer is not given to the nearest euro, award at most <em><strong>(M1)(A1)(A0)</strong></em>, provided this has not been penalized in part (f)(i).<br></span></p>
<p><span> </span></p>
<p><span><em><strong>[5 marks]</strong></em><br></span></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(a) Most candidates managed to answer this correctly.</span></p>
<p> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(b) On the whole this was well answered but some candidates gave 7200 as their final answer.</span></p>
<p> </p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(c) Some candidates found this surprisingly difficult, others gave the answer as <em>x</em> + 24<em>y</em> = 7100.</span></p>
<p> </p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(d) Many managed to find the correct answers for <em>x</em> and <em>y</em> even though their answer to part (c) was not correct. Others received follow through marks.</span></p>
<p> </p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(e) The most common answer here was 26 months.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">(f) Part (i) was well done but there were fewer correct answers seen for part (ii). Some </span><span style="font-size: medium; font-family: times new roman,times;">candidates used 6000 instead of 2000, others did not give their answer to the nearest </span><span style="font-size: medium; font-family: times new roman,times;">euro and others kept the same interest rate for both parts of the question.</span></p>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>The following table shows the average body weight, \(x\), and the average weight of the brain, \(y\), of seven species of mammal. Both measured in kilograms (kg).</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-16_om_10.57.27.png" alt="M17/5/MATSD/SP2/ENG/TZ1/01"></p>
</div>
<div class="specification">
<p>The average body weight of grey wolves is 36 kg.</p>
</div>
<div class="specification">
<p>In fact, the average weight of the brain of grey wolves is 0.120 kg.</p>
</div>
<div class="specification">
<p>The average body weight of mice is 0.023 kg.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the range of the average body weights for these seven species of mammal.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For the data from these seven species calculate \(r\), the Pearson’s product–moment correlation coefficient;</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For the data from these seven species describe the correlation between the average body weight and the average weight of the brain.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the equation of the regression line \(y\) on \(x\), in the form \(y = mx + c\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use your regression line to estimate the average weight of the brain of grey wolves.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the percentage error in your estimate in part (d).</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State whether it is valid to use the regression line to estimate the average weight of the brain of mice. Give a reason for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(529 - 3\) <strong><em>(M1)</em></strong></p>
<p>\( = 526{\text{ (kg)}}\) <strong><em>(A1)(G2)</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(0.922{\text{ }}(0.921857 \ldots )\) <strong><em>(G2)</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(very) strong, positive <strong><em>(A1)</em>(ft)<em>(A1)</em>(ft)</strong></p>
<p> </p>
<p><strong>Note:</strong> Follow through from part (b)(i).</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(y = 0.000986x + 0.0923{\text{ }}(y = 0.000985837 \ldots x + 0.0923391…)\) <strong><em>(A1)(A1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(A1) </em></strong>for \(0.000986x\), <strong><em>(A1) </em></strong>for 0.0923.</p>
<p>Award a maximum of <strong><em>(A1)(A0) </em></strong>if the answer is not an equation in the form \(y = mx + c\).</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(0.000985837 \ldots (36) + 0.0923391 \ldots \) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for substituting 36 into their equation.</p>
<p> </p>
<p>\(0.128{\text{ (kg) }}\left( {0.127829 \ldots {\text{ (kg)}}} \right)\) <strong><em>(</em></strong><strong><em>A1)</em>(ft)<em>(G2)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Follow through from part (c). The final <strong><em>(A1) </em></strong>is awarded only if their answer is positive.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\left| {\frac{{0.127829 \ldots - 0.120}}{{0.120}}} \right| \times 100\) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for their correct substitution into percentage error formula.</p>
<p> </p>
<p>\(6.52{\text{ }}(\% ){\text{ }}\left( {6.52442...{\text{ }}(\% )} \right)\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Follow through from part (d). Do not accept a negative answer.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Not valid <strong><em>(A1)</em></strong></p>
<p>the mouse is smaller/lighter/weighs less than the cat (lightest mammal) <strong><em>(R1)</em></strong></p>
<p><strong><em>OR</em></strong></p>
<p>as it would mean the mouse’s brain is heavier than the whole mouse <strong><em>(R1)</em></strong></p>
<p><strong><em>OR</em></strong></p>
<p>0.023 kg is outside the given data range. <strong><em>(R1)</em></strong></p>
<p><strong><em>OR</em></strong></p>
<p>Extrapolation <strong><em>(R1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Do not award <strong><em>(A1)(R0)</em></strong>. Do not accept percentage error as a reason for validity.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">In a college 450 students were surveyed with the following results</span></p>
<p style="margin-left: 30px;"><em><span style="font-size: medium; font-family: times new roman,times;">150 have a television</span></em></p>
<p style="margin-left: 30px;"><em><span style="font-size: medium; font-family: times new roman,times;">205 have a computer</span></em></p>
<p style="margin-left: 30px;"><em><span style="font-size: medium; font-family: times new roman,times;">220 have an iPhone</span></em></p>
<p style="margin-left: 30px;"><em><span style="font-size: medium; font-family: times new roman,times;">75 have an iPhone and a computer</span></em></p>
<p style="margin-left: 30px;"><em><span style="font-size: medium; font-family: times new roman,times;">60 have a television and a computer</span></em></p>
<p style="margin-left: 30px;"><em><span style="font-size: medium; font-family: times new roman,times;">70 have a television and an iPhone</span></em></p>
<p style="margin-left: 30px;"><em><span style="font-size: medium; font-family: times new roman,times;">40 have all three.</span></em></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Draw a Venn diagram to show this information. Use <em>T</em> to represent the set of students who have a television,<em> C</em> the set of students who have a computer and <em>I</em> the set of students who have an iPhone.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the number of students that</span></p>
<p><span>(i) have a computer only;</span></p>
<p><span>(ii) have an iPhone and a computer but no television.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down \(n[T \cap (C \cup I)']\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the number of students who have none of the three.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Two students are chosen at random from the 450 students. Calculate the probability that</span></p>
<p><span>(i) neither student has an iPhone;</span></p>
<p><span>(ii) only one of the students has an iPhone.</span></p>
<div class="marks">[6]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The students are asked to collect money for charity. In the first month, the students collect <em>x</em> dollars and the students collect <em>y</em> dollars in each subsequent month. In the first 6 months, they collect 7650 dollars. This can be represented by the equation <em>x</em> + 5<em>y</em> = 7650.</span></p>
<p><span>In the first 10 months they collect 13 050 dollars.</span></p>
<p><span>(i) Write down a second equation in <em>x</em> and <em>y</em> to represent this information.</span></p>
<p><span>(ii) Write down the value of <em>x</em> and of <em>y </em>.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The students are asked to collect money for charity. In the first month, the students collect <em>x</em> dollars and the students collect <em>y</em> dollars in each subsequent month. In the first 6 months, they collect 7650 dollars. This can be represented by the equation <em>x</em> + 5<em>y</em> = 7650.</span></p>
<p><span>In the first 10 months they collect 13 050 dollars.</span></p>
<p><span>Calculate the number of months that it will take the students to collect 49 500 dollars.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><img 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" alt><span> <em><strong>(A1)(A1)(A1)(A1)</strong></em></span></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(A1)</strong></em> for labelled sets <em>T</em>, <em>C</em>, and <em>I</em> included inside an enclosed universal set. (Label <em>U</em> is not essential.) Award <em><strong>(A1)</strong></em> for central entry 40. <em><strong>(A1)</strong></em> for 20, 30 and 35 in the other intersecting regions. <em><strong>(A1)</strong></em> for 60, 110 and 115 or <em>T</em>(150), <em>C</em>(205), <em>I</em>(220).</span></p>
<p><span><em><strong>[4 marks]</strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong><span>In parts (b), (c) and (d) follow through from their diagram.<br></span></strong></em></p>
<p><em><strong><span> </span></strong></em></p>
<p><span>(i) 110 <strong><em>(A1)</em>(ft)</strong></span></p>
<p><span><strong> </strong></span></p>
<p><span>(ii) 35 <strong><em>(A1)</em>(ft)</strong></span></p>
<p><span><strong> </strong></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong><span>In parts (b), (c) and (d) follow through from their diagram.</span></strong></em></p>
<p><em><strong><span> </span></strong></em></p>
<p><span>60</span><em><strong><span> (A1)</span></strong></em><strong><span>(ft)</span></strong><em><strong><span><br></span></strong></em></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong><span>In parts (b), (c) and (d) follow through from their diagram.</span></strong></em></p>
<p><em><strong><span> </span></strong></em></p>
<p><span>450 </span><span><span>− </span>(60 </span><span><span>+ </span>20 </span><span><span>+ </span>40 </span><span><span>+ </span>30 </span><span><span>+ </span>115 </span><span><span>+ </span>35 </span><span><span>+ </span>110) <strong><em>(M1)</em></strong> </span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for subtracting all their values from 450.<br></span></p>
<p><span> </span></p>
<p><span>= 40 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(\frac{{230}}{{450}} \times \frac{{229}}{{449}}\) <em><strong>(A1)(M1)</strong></em></span> </p>
<p><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for correct fractions, <em><strong>(M1)</strong></em> for multiplying their fractions.</span></p>
<p> </p>
<p><span>\(\frac{{52670}}{{202050}}\left( {\frac{{5267}}{{20205}},{\text{ 0}}{\text{.261, 26}}{\text{.1% }}} \right)(0.26067...)\) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><strong><span><strong>Note:</strong></span></strong><span> Follow through from their Venn diagram in part (a).</span></span></p>
<p><span> </span></p>
<p><span>(ii) \(\frac{{220}}{{450}} \times \frac{{230}}{{449}} + \frac{{230}}{{450}} \times \frac{{220}}{{449}}\) <em><strong>(A1)(A1)</strong></em><br></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for addition of their products, <em><strong>(A1)</strong></em> for two correct products.<br></span></p>
<p><span> </span></p>
<p><span><strong>OR</strong><br></span></p>
<p><span>\(\frac{{230}}{{450}} \times \frac{{220}}{{449}} \times 2\) <em><strong>(A1)(A1)</strong></em> <br></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(A1)</strong></em> for their product of two fractions multiplied by 2, <em><strong>(A1)</strong></em> for correct product of two fractions multiplied by 2. Award <em><strong>(A0)(A0)</strong></em> if correct product is seen not multiplied by 2.<br></span></p>
<p><span> </span></p>
<p><span>\(\frac{{2024}}{{4041}}(0.501,{\text{ 50}}{\text{.1% )(0}}{\text{.50086}}...{\text{)}}\) <em><strong>(A1)(G2)</strong></em><br></span></p>
<p><span><strong>Note:</strong> Follow through from their Venn diagram in part (a) and/or their 230 used in part (e)(i).</span></p>
<p><span><strong>Note:</strong> For consistent use of replacement in parts (i) and (ii) award at most <em><strong>(A0)(M1)(A0)</strong></em> in part (i) and <em><strong>(A1)</strong></em><strong>(</strong><strong>ft)</strong><em><strong>(A1)(A1)</strong></em><strong>(ft)</strong> in part (ii).<br></span></p>
<p><span> </span></p>
<p><span><em><strong>[6 marks]</strong></em></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) <em>x</em> + 9<em>y</em> = 13050 <em><strong>(A1)</strong></em><br></span></p>
<p><span><em><strong> </strong></em></span></p>
<p><span>(ii) <em>x</em> = 900 <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><em>y</em> = 1350 <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong>Notes:</strong> Follow through from their equation in (f)(i). Do not award <em><strong>(A1)</strong></em><strong>(ft)</strong> if answer is negative. Award <em><strong>(M1)(A0)</strong></em> for an attempt at solving simultaneous equations algebraically but incorrect answer obtained.</span></p>
<p><span><em><strong> </strong></em></span></p>
<p><span><em><strong>[3 marks]</strong></em></span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>49500 = 900 + 1350<em>n</em> <em><strong>(A1)</strong></em><strong>(ft)</strong></span> </p>
<p><span><strong>Notes:</strong> Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for setting up correct equation. Follow through from candidate’s part (f).</span></p>
<p> </p>
<p><span><em>n</em> = 36 <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span>The total number of months is 37. <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(G1)</strong></em> for 36 seen as final answer with no working. The value of <em>n</em> must be a positive integer for the last two <em><strong>(A1)</strong></em><strong>(ft)</strong> to be awarded.</span></p>
<p> </p>
<p><span><strong>OR</strong> </span></p>
<p><span>49500 = 900 + 1350(<em>n</em> − 1) <em><strong>(A2)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(A2)</strong></em><strong>(ft)</strong> for setting up correct equation. Follow through from candidate’s part (f).</span></p>
<p> </p>
<p><span><em>n</em> = 37 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> The value of <em>n</em> must be a positive integer for the last <em><strong>(A1)</strong></em><strong>(ft)</strong> to be awarded.</span></p>
<p><span><em><strong>[3 marks]</strong></em></span></p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The question was moderately well answered. The majority of candidates answered part (a) and at least parts of (b), and (d). <br></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The question was moderately well answered. The majority of candidates answered part (a) and at least parts of (b), and (d). <br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The question was moderately well answered. Part (c) proved to be difficult, as it required understanding and interpreting set notation. <br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The question was moderately well answered. The majority of candidates answered part (a) and at least parts of (b), and (d). <br></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The question was moderately well answered. Part (e) was rarely answered in its entirety. <br></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The question was moderately well answered. Part (f) was answered by many candidates, but most of them offered a partial answer to part (g); a typical response was 36 instead of 37.</span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The question was moderately well answered. Part (f) was answered by many candidates, but most of them offered a partial answer to part (g); a typical response was 36 instead of 37.</span></p>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Consider the function <em>f </em>(<em>x</em>) = <em>x</em><sup>3 </sup><em>–</em> 3x– 24<em>x</em> + 30.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down <em>f</em> (0).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find \(f'(x)\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the gradient of the graph of <em>f</em> (<em>x</em>) at the point where <em>x</em> = 1.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>(i) Use </span><em>f '</em><span>(</span><em>x</em><span>) to find the </span><em>x</em><span>-coordinate of M and of N.</span></p>
<p><span>(ii) Hence or otherwise write down the coordinates of M and of N.</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Sketch the graph of <em>f</em> (<em>x</em>) for \( - 5 \leqslant x \leqslant 7\) and \( - 60 \leqslant y \leqslant 60\). Mark clearly M and N on your graph.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Lines <em>L</em><sub>1</sub> and <em>L</em><sub>2</sub> are parallel, and they are tangents to the graph of <em>f</em> (<em>x</em>) at points A and B respectively. <em>L<sub>1</sub></em> has equation <em>y</em> = 21<em>x</em> + 111.</span></p>
<p><span>(i) Find the <em>x</em>-coordinate of A and of B.</span></p>
<p><span>(ii) Find the <em>y</em>-coordinate of B.</span></p>
<div class="marks">[6]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>30 <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]</strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>f</em> <em>'</em>(<em>x</em>) = 3<em>x</em><sup>2</sup> – 6<em>x</em> – 24 <em><strong>(A1)(A1)(A1)</strong></em> </span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for each term. Award at most <em><strong>(A1)(A1)</strong></em> if extra terms present.</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>f '</em>(1) = –27 <em><strong>(M1)(A1)</strong></em><strong>(ft</strong><strong>)</strong><em><strong>(G2)</strong></em> </span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substituting <em>x</em> = 1 into their derivative.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i)<em> f '</em>(<em>x</em>) = 0</span></p>
<p><span>3<em>x</em><sup>2</sup> – 6<em>x</em> – 24 = 0 <em><strong>(M1)</strong></em></span></p>
<p><span><em>x</em> = 4; <em>x</em> = –2 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><br><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for either <em>f '</em>(<em>x</em>) = 0 or 3<em>x</em><sup>2</sup> </span><span>– 6<em>x</em> </span><span>– 24 = 0 seen. Follow through from their derivative. Do not award the two answer marks if derivative not used.</span></p>
<p><br><span>(ii) M(–2, 58) accept <em>x</em> = –2, <em>y</em> = 58 <strong><em>(A1)</em>(ft)</strong></span></p>
<p><span>N(4, – 50) accept <em>x</em> = 4, <em>y</em> = –50 <strong><em>(A1)</em>(ft)</strong> </span></p>
<p><br><span><strong>Note:</strong> Follow through from their answer to part (d) (i).</span></p>
<p><span><em><strong>[5 marks]</strong></em><br></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><img 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" alt></span></p>
<p><span><em><strong>(A1)</strong></em> for window</span></p>
<p><span><em><strong>(A1)</strong></em> for a smooth curve with the correct shape</span></p>
<p><span><em><strong>(A1)</strong></em> for axes intercepts in approximately the correct positions</span></p>
<p><span><em><strong>(A1)</strong></em> for M and N marked on diagram and in approximately</span><br><span>correct position <em><strong>(A4)</strong></em><br><br></span></p>
<p><span><strong>Note:</strong> If window is not indicated award at most <em><strong>(A0)(A1)(A0)(A1)</strong></em><strong>(ft)</strong>.</span></p>
<p><span><em><strong>[4 marks]</strong></em><br></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) 3<em>x</em><sup>2</sup> – 6<em>x </em></span><span><span>–</span> 24 = 21 <em><strong>(M1)</strong></em></span></p>
<p><span>3<em>x</em><sup>2 </sup></span><span><span>–</span> 6<em>x </em></span><span><span>–</span> 45 = 0 <em><strong>(M1)</strong></em></span></p>
<p><span><em>x</em> = 5; <em>x</em> = </span><span><span>–</span>3 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Follow through from their derivative.</span></p>
<p><br><strong><span>OR</span></strong></p>
<p><span>Award <em><strong>(A1)</strong></em> for <em>L</em><sub>1</sub> drawn tangent to the graph of <em>f</em> on their </span><span>sketch in approximately the correct position (<em>x</em> = </span><span><span>–</span>3), </span><span><em><strong>(A1)</strong></em> for a second tangent parallel to their <em>L</em><sub>1</sub>, </span><span><em><strong>(A1)</strong></em> for <em>x</em> = –3, <em><strong>(A1)</strong></em> for <em>x</em> = 5 . </span><strong><em><span><span>(A1)</span></span></em><span><span>(ft)</span></span><em><span><span>(A1)</span></span></em><span><span><span>(ft)</span></span></span><em><span>(A1)(A1)</span></em></strong></p>
<p><br><span><strong>Note:</strong> If only <em>x</em> = </span><span>–3 is shown without working award </span><em><strong>(G2)</strong></em><strong>.</strong><span> </span><span>If both answers are shown irrespective of working</span><span>award <em><strong>(G3)</strong></em>.</span></p>
<p><br><span>(ii)<em> f</em> (5) = </span><span><span>–</span>40 <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em> </span></p>
<p><br><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for attempting to find the image of their <em>x</em> = 5. </span><span>Award <em><strong>(A1)</strong></em> only for (5, </span><span><span>–</span>40). </span><span>Follow through from their <em>x</em>-coordinate of B only if it has</span> <span><strong>been clearly identified</strong> in (f) (i).</span></p>
<p><span><em><strong>[6 marks]</strong></em><br></span></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The value of <em>f</em> (0) and the derivative function, <em>f '</em>(<em>x</em>) were well done in parts (a) and (b). In part (c) many candidates found <em>f</em> (1) instead of <em>f</em> <em>'</em>(1) . In part (d) many students did not use their <em>f</em> (<em>x</em>) to find the <em>x</em>-coordinates of M and N and instead used their GDC. The sketch was generally well done although some students forgot to label M and N or did not use the specified window. The last part of the question was a clear discriminator. Examiners were pleased to see how this challenging question was solved using alternative methods.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The value of <em>f</em> (0) and the derivative function, <em>f '</em>(<em>x</em>) were well done in parts (a) and (b). In part (c) many candidates found <em>f</em> (1) instead of <em>f</em> <em>'</em>(1) . In part (d) many students did not use their <em>f</em> (<em>x</em>) to find the <em>x</em>-coordinates of M and N and instead used their GDC. The sketch was generally well done although some students forgot to label M and N or did not use the specified window. The last part of the question was a clear discriminator. Examiners were pleased to see how this challenging question was solved using alternative methods.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The value of <em>f</em> (0) and the derivative function, <em>f '</em>(<em>x</em>) were well done in parts (a) and (b). In part (c) many candidates found <em>f</em> (1) instead of <em>f</em> <em>'</em>(1) . In part (d) many students did not use their <em>f</em> (<em>x</em>) to find the <em>x</em>-coordinates of M and N and instead used their GDC. The sketch was generally well done although some students forgot to label M and N or did not use the specified window. The last part of the question was a clear discriminator. Examiners were pleased to see how this challenging question was solved using alternative methods.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The value of <em>f</em> (0) and the derivative function, <em>f '</em>(<em>x</em>) were well done in parts (a) and (b). In part (c) many candidates found <em>f</em> (1) instead of <em>f</em> <em>'</em>(1) . In part (d) many students did not use their <em>f</em> (<em>x</em>) to find the <em>x</em>-coordinates of M and N and instead used their GDC. The sketch was generally well done although some students forgot to label M and N or did not use the specified window. The last part of the question was a clear discriminator. Examiners were pleased to see how this challenging question was solved using alternative methods.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The value of <em>f</em> (0) and the derivative function, <em>f '</em>(<em>x</em>) were well done in parts (a) and (b). In part (c) many candidates found <em>f</em> (1) instead of <em>f</em> <em>'</em>(1) . In part (d) many students did not use their <em>f</em> (<em>x</em>) to find the <em>x</em>-coordinates of M and N and instead used their GDC. The sketch was generally well done although some students forgot to label M and N or did not use the specified window. The last part of the question was a clear discriminator. Examiners were pleased to see how this challenging question was solved using alternative methods.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The value of <em>f</em> (0) and the derivative function, <em>f '</em>(<em>x</em>) were well done in parts (a) and (b). In part (c) many candidates found <em>f</em> (1) instead of <em>f</em> <em>'</em>(1) . In part (d) many students did not use their <em>f</em> (<em>x</em>) to find the <em>x</em>-coordinates of M and N and instead used their GDC. The sketch was generally well done although some students forgot to label M and N or did not use the specified window. The last part of the question was a clear discriminator. Examiners were pleased to see how this challenging question was solved using alternative methods.</span></p>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<h1><span style="font-family: times new roman,times; font-size: medium;">Part A</span></h1>
<p><span style="font-family: times new roman,times; font-size: medium;">100 students are asked what they had for breakfast on a particular morning.</span> <span style="font-family: times new roman,times; font-size: medium;">There were three choices: cereal (<em>X</em>) , bread (<em>Y</em>) and fruit (<em>Z</em>). It is found that</span></p>
<p style="margin-left: 30px;"><span style="font-family: times new roman,times; font-size: medium;">10 students had all three</span></p>
<p style="margin-left: 30px;"><span style="font-family: times new roman,times; font-size: medium;">17 students had bread and fruit only</span></p>
<p style="margin-left: 30px;"><span style="font-family: times new roman,times; font-size: medium;">15 students had cereal and fruit only</span></p>
<p style="margin-left: 30px;"><span style="font-family: times new roman,times; font-size: medium;">12 students had cereal and bread only</span></p>
<p style="margin-left: 30px;"><span style="font-family: times new roman,times; font-size: medium;">13 students had only bread</span></p>
<p style="margin-left: 30px;"><span style="font-family: times new roman,times; font-size: medium;">8 students had only cereal</span></p>
<p style="margin-left: 30px;"><span style="font-family: times new roman,times; font-size: medium;">9 students had only fruit</span></p>
</div>
<div class="specification">
<h1><span style="font-family: times new roman,times; font-size: medium;">Part B</span></h1>
<p><span style="font-family: times new roman,times; font-size: medium;">The same 100 students are also asked how many meals on average they have per day. The data collected is organized in the following table.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAnQAAACuCAIAAAAwMQf4AAAgAElEQVR4nO2dz2sbybr3738igVYSCBKyMXfh1XBQtBDGzGLAmwyywYE7lywG7gstFE7IYjgDEhY5BAJ5W8QEhhwyLRLmBIKHQjCEXA/NnAshiIY5XBNEL8zB0zQvRpii3kX1b7XacmJV9+N8P/RiJpKlVn2rnm/VUz/63wQAAAAALpV/y/sGAAAAgKsGzBUAAAC4ZGCuK6RSKuPChQsXrs/qkvEf5rpCglIGRQYyFR9oRALIJCKFAHNdIahqJIBMxQcakQAyCZirGlDVSACZig80IgFkEjBXNaCqkQAyFR9oRALIJGCuakBVIwFkKj7QiASQScBc1YCqRgLIVHygEQkgk4C5qgFVjQSQqfhAIxJAJgFzVQOqGgkgU/GBRiSATALmqgZUNRJApuIDjUgAmQTMVQ2oaiSATMUHGpEAMgmYqxpQ1UgAmYoPNCIBZBIwVzWgqpEAMhUfaEQCyCRgrmpAVSMBZCo+0IgEkEnAXNWAqkYCyFR8oBEJIJOAuaphYVXjtvlEa5bKlVKtqT017dnq7oHbh/taq1IqV0prO3tvbL66r8qdD6P29UqpXCld3zE+LP9nq4kIJ2Zvs9I27BV8tBBCCO6wbj36oKtqlznK1bWNHe8GvhnZZ6v7npVFbdfs3Yw8LGy9w47jb0iW842eucLfOceZ2bshv/qa2i/+KGCuAuaqhgVV7cTsbUYf/lffNaYrioruYb9Rq5S2hpY1al+vlLaG1ulqvqkYOKxTLYK5zqbGnXqpvEpzPWbaeqQW1Zq9Q3dV35VB4D1EzVUIEVSbcqVUrmvMib12zPbudW5dV9t9OTEfPPWt9NTSt2CuhIC5qiCtqnH3txf7hzYXQrjvhu21lTYbbukbXuCzmbZeaQxM9yoPXcWZ2b+Wu7lyd7K/I4P16szVYZ1N3SqAmP7QirK5npl/3Xv8qFVLcVBnPHjy6keZEVFkb9w1B83wu85s4xuYKyFgrio4r6p5zWZ1I1c1ga9AFMBcuX1wT3vwf7UvVmmu/si4VGtqj0fMymPM6nFFzPXBL+/lALFU29AnfnPkDnu872V91Nib3zODuZIF5qqCzKrmWEzvNK43NcPKGE261s+9bT+M6sySKatwouhG7/AP63W/vTafswpna2LTkNyV7y+VKw1t37R50Hq9D2T/HZmFutEzTxPRM7ylVueJNwa/4P3sDtlP/j3cZ7Zrs/tNmZRr70/C0pi/1eDfxz969xB/KWGu3P51z3/bYse9zIjAj0b/oY2m//IKZKG5Rn5aqdXRmV8HlipJwSdDOcwKZhZi5RYQmVBsP2YHg51quVKqNbsH9tmUdf2ZeP1dxJsdK3hbdDWAa7HnPW84HuouxJy5cvvNwPtdl+m4qzdX8yxIDrf8lACf7P/5xZR/SDPXBQp6NbBcKd3sm1NZmH6qeVF9DnAso9uMzqO3DTs01+/Ze/nntXjQcCz2zL+TiGqRO/neOPAWXjS6I8tJfu3lAXMVMFc1LK5q0WUUrY4xSR958KPR7lqltNk3T7z/ru4OJ7KdeuG1fuvej7/Zlr5VKd3sm8mP8QNf8JLXL67vGlN+aulbleqd0XQWTgN7/+tP83hp5FPryWA0nQnhp7Krd0bTGbf0jdLabeOIL3s//sfKgO79unK9cfNP1d3h2+edanTcsOhWvVx3XWNOOIDz55Jj5iqnA+VLjnXwsP9i1eZ6Yva+7Zsnob4LzJVPjdtVr3jlf4fuuERJ+tn+2DU3WSiinyZrjve9pevNxnq9rf+3ocVKTzgTfbcuNeWTYavm5VTkh1S7zOH+J4TDu7i5HjNt3TMn1/q59+AlIXMNp7E3++aJEIJbzwbsOFwoFzHXDAV9dda+1p79w3k/bNUq13rm2cL6HMevOfMj11LrLpvy5KoC2abWO+zYDxdh58C/k1qze2Bz/9etcB0AzFUImKsalhi51hasURThUhGvmXnO5MdQv8G3dIsLbukbaast5sxVNjCvZcpXvdWPXqOVQfN4/Pjbr6v+jXHr5QuvtXq3JNundDLv9pa5nyBMyEDsxxGvx+B9gr8ac+GtenGt2mUOT/7AmLnKr6udkxu4tIgwmxraf8quxjnm6oU575d6/hfUgaWUFULIEfxI1/yxTuow0f+0qGTBSNdb6+uXnlcHourc7JuuH7XXO+w4+IRg0WzcXOXXLe4vfixKzJW75qAZ9lROrSePmcPTzDVTQa9UZVM6tfStusacjKYXY7G5yn9Jlr/Xv6xrzJn/25i+8598+cBcBcxVDedXNW81b2Yz8wJ0YurFa/Dp4xWfBd4Tv7zP9zu2Ld06eTsav5f/W9fYH9brl97IJrFvIRrTl7mfBebq3UDcXLNuVd6LxfTB99qt+kJzDYu3Ut3uHyycmLykiBBsBIpf87EsOTGc6FUspWwUbh/cbdRSUxcLzNX/6ri5xucR5nPpjsX2+3/RZHJ4gblG/Kk9+PnyMpBKzDU60O+yk8noiSzQOXPNVtAr1XiP+dz67HFRc5Vw12LD3nedxAJJmGsewFxVsERVk2PB6BqKgKXMNXvXnZ8XSnhP6tcFb/7q+71nY+fMG6RW7/T1V/6qVP+WWvPrVJe5n48w19RblfOCa7eNo1nWyFX+qmBLcWJyMaSY5nqR/ZTcYd16+gD3I8x1fr+WN1lY3zWms+yRqxDRrdXBLMYno8hcw4mGta/b3X2vHD7OXON9ncymF+Hi5irXQFTvhDP9MNdcgbmqIKWq8aPR7lp0+cmZ2buRvv3Uz8F6Tua1jURa+JwQnGjnwXxe6vrk4FX5FbFEscSfNE2ZLrpsc114q/7Y6Py0cORv5NhuQVhZQURYJi3sF6x3z8m0cEZJ8qlxuxo7EuTM7P17+kj3AuYaTBZ68+jhr5EJgGXSwgEzuUjtso5cUGWukT2vYQ9yUVp4gYKp5prd9EIuaq7eagmkhYsDzFUFKVUtnPR6+Ks9E3zKuluLRlT+6qHd4cTxAtz8gqbM5KEfLoPAHXbM5Zdy2/x7uGoxsjhCCD+CxIzfX8/iT9px2/zJtPmS9xMsaIosfgmiWPITFt1qkJreGlq2fxxHYtZQRr0z+8WDviFv72i0u7Yorik3V39tS3t/4p7JvkLKgqbFJen7mT+d7L4bao/SdzAHeU55J/EOU7J6BCtivGo2s01m2rPg6zb0946f9fWDe3CIhKwnH172HoxkkU+N29U5n/5YVhu1HXb3P4K6Ie0q0qcMJxeC3ECWgnONTpLd9AKC/muXnRyNx//k0X9xeOD9XvUIss0t3XL8+/TtM34nfnODua4YmKsK0qrazDaf+uuYak3t8cuUBhYh3PcSncSKz30uWP63YCtOsNciZSYyvnyGO6xbT2aAozsQ1nZ6ry2Xf8z9XPtu9Cy6/+fZ38KcavatBkc0tDo6m1iv7zZqvs38byQxe7NvntjjXyxnMtJa2cdMKjdXsaAYxZIlGduzUd3uPx8vWLEV+7R4Id/sG/pOWD3m91lF6pt32kmtqels8t7bwyM3dYTHH8qoPR0zy7GMTqOW2LHziawsakeLKDKC91pBbJeaX4yec6UrGJtbTWRQsppe5I780u4e2Dzeatrf9ZPNRC7wLlca2pC9s7wtba2OMXFjd7Ld720vUa8+lcuSKW36P3qlLi/4mO8J9b28MoG5qgD9OBJApuIDjUhweeY6+NJb5B/4n9dT4fabQfur883VPfyr/tsSQ/TL36EEc1UBIgIJIFPxgUYkuDRz/W38i5c/S5qrEIJP2cvfss31xOxtLjfff26S6cLAXFWAiEACyFR8oBEJViBTirmeh5cqh7leZRARSACZig80IoFSc009GtaVaywS096LD0yFuRIFEYEEkKn4QCMSqDPXjKNh53aLZR2YCnMlCiICCSBT8YFGJFBlrplHw86ba8aBqTBXoiAikAAyFR9oRAJV5pp5el36CZELDkyFuRIFEYEEkKn4QCMSFNVcFx+YCnMlCiICCSBT8YFGJFCdFk49GjZprpkHpsJciYKIQALIVHygEQlWIFNwZmr8mQfLHQ37x/Tt+PfjrANTE4ewXgYwVxV8FhEhcgDeZZ3SrpjPQKboMX6XdXScUpbQKDjl2L8WPgd3lYTNIfXxurmy+qZ6yU0perjmfKmmHw0roiek3mVTnnVg6ix6vOWlP2QC5rpCPoOoLYQIu4ow1yKTfP4gKZbQyB+CeFet2TvM43cGHl88cxUrb6qfSVPKBuaqgs+mqn3EI0gLxOciU+qj0IhwvkYO62xeWmbvU1jwDL6CsNqm+rk0pUxgrir4bKoazJUCV9lcg8MBak3t8YgteOCMEmCunzkwVxXkWNUiz2zaHR483qmW5x67FnlmVngeWPgErhu9wz/kG1LnrrhtPtH851u9GiZarGux5z3v6Vrho8fiD/BqG3by8en5kJ9MkeedtR//LJ8dlnxSW/Ccsoh84dPEbvbNqXxD6vNfuX24r/lPiGOPk+aaLtOHUfK5ZvEnrufBORoFj631r/D5uHFi7YL95Nf/+8x2be95bYm/TSt/+e/smf/IudhLSXPl9q97/sF7aQfk5txU03/IRzZVmKuAuaoh16oWrLKTD2eWj4Au+w8M95/2vGtM+amlb1Wqd0bTmRCRtXa37v34m23pW2ljneiRKDP78KEM0F6LlZ9Q7TKH+w9XD1b6+Y+fjB4/tnff++qcyFOmwBWi6x5LwTPGZXGt3TaOOJ8MW7Xgee/+BOra19qzfzjvh61aykOwvQ9f77DjSIj31cyQyXukaGQJ5Zk5uJP+qHk1ZGvkl0bsWvC0+Xi78J8PX2/c/FN1d/j2eSelus6Xv/wQWbD+E+b9soqbq5yClbXdsQ4e9l/Mnz6fX1PN+iEf01RhrgLmqoZcq1qyp+kHINlU5OoPrx8tw4Hf3vxhSku3eOLx6T4O61TLXpuM/IlvrrKVrnfYccqG7shCeUcI4Zr7Rs4zZbnKlBgU+nFWBjivnKWCcqTiR08vxytt4NTSt+a8xF9ZE8iXSAtnyuTXFikxd83nIy/C5sNyGnHXGo90rZm1XjfRLvzxn7eRI16TF5a/l4Wua8wJPsHv3MTNVX6dXJu6qJrn11Qzf8hHNFWYq4C5qqFQ5urH1us7xodIXjFyefHda34LOv5CpKw7TZ3IcSy23/+LFu8pi8hyyq2h9f+c8U9j9fsl4hTJXGOqRRKGweXnFT01g6A5j+/TQaxMn3NdJFN0/9/x2Hi7qDKo4UIacfvgbqO2YHZ5gbnGK/8N76ifxeUvhBDctdiw911HjvLTzVX42YhypbrdP0idDM69qab/kI9oqjBXAXNVQ+HNNb4v2+P8JQ9zp5wk/sSbIqrvGtNZ2jmfXo+41vzL0/0nb/KN2oKAuQZ5uQjnr06aG4gk/+Qcmfy4vPn986f740UWrogLasQd1q2n73P9CHNNK3+5ybJ6ZzT9V+bIVd5OMOspE7/Zt6SyqWb9ECEu3FRhrgLmqoZCmWss1xQkfHbnJ9KWWE+4INfkp49kV31BWlgIkfLgpzwpkrnG0sLBxKo/BRvhfHNdlBb2VTtXprnZxBw5Z851atyuru3svQkWgp2ZvX9PH89dwFwXl78/LXp+Wjhyk3I8PT81nmNTzfwhQoiLNlWYq4C5qqEY5io7y/HJvLDNeF1pbpt/l6sQExMt6UTXXMzs8YOdL2pB0swPLrUN/b0jT/VMeULFYb9RK0LUFgUxVznn5w8UvGFKYG/ejODMNplcRBqfE11AdHkUn473dv8UmYxcQiZ5KGvqmEk12RoFv8Wb2nTfDbVHZvocZ7B6SDpZ/PS7ROVfVP5BqralW46f9fU8KZpKPRXizH7xoG+YNvc+Lc0jc2uqmT/E5yJNFeYqYK5qKIa57g7Zs4534ld8L4G3xyA6GxTZHFLK3HoRnD1W3R4cvv1x95v+c+OlbPPeWtNaU9PZ5D3r+ltBrGgEOLX03ZQBWR4Uwlzbj5nR9fZLRLfipJ7xFpuHS9nd4RNu4ai3H/5q/nC73fvReOXVgWVk4pPh5rf5ruWWnKeRY3mlV65Ut/vPx4tWD8WmUa99N3oWPf3u2d+Se5AWnbHnr6RtaEP2zvL28LQ6xsSNnth3rWeendnjXyxnMtJacw0wvKncmmrGDwn//gJNFeYqYK5qKIa5FnMzOy/CUiZJMcw1ty2kmeS/lElypaP21WmqV1qmZYG5qgDmmoQfjXbXm71Dlx+9LMBSJgnMNQGfGrerm33zhE9f576USXKlo/bVaapXWqZlgbmqINeqFswtFWLRkIdMmrWfW+YPQ/Mk77vxyFOm4BCJYkw/CyH8WH99x/gfU/9hwcylaq501L46TfVKy7QsMFcV5FjV4lv0Mqbl1MKnrNtasCEhN/KTKT5tVpiBi7euNXhAZgG4wlH7KjXVKyzT8sBcVYCqRgLIVHygEQkgk4C5qgFVjQSQqfhAIxJAJgFzVQOqGgkgU/GBRiSATALmqgZUNRJApuIDjUgAmQTMVQ2oaiSATMUHGpEAMgmYqxpQ1UgAmYoPNCIBZBIwVzWgqpEAMhUfaEQCyCRgrmpAVSMBZCo+0IgEkEnAXNWAqkYCyFR8oBEJIJNImGvkjBhcuHDhwoUL18dfMXPNy+SvNihYEkCm4gONSACZxPzINdebubKgYEkAmYoPNCIBZBIwVzWgYEkAmYoPNCIBZBIwVzWgYEkAmYoPNCIBZBIwVzWgYEkAmYoPNCIBZBIwVzWgYEkAmYoPNCIBZBIwVzWgYEkAmYoPNCIBZBIwVzWgYEkAmYoPNCIBZBIwVzWgYEkAmYoPNCIBZBIwVzWgYEkAmYoPNCIBZBIwVzWgYEkAmYoPNCIBZBKqzfXM7F+LHL1Y7TKHx99xzLT1yNmMN/umm/WBtrHjvfObkX22ylv/JIhXNe5a49Hz3s61eb1EXLLahj6ZfwcVKMvkWAeDnWq5UipXGtq+aSdVcFinGjSrraF1mstdfjqUNRJCCOFazPih32512PHca9xh3XoQ/Vq6RbYtKZcpIwrlFqDUj1yjFWg9WcOc8aD7X1+XypVSua4x5wKfBnNdFdzSv7y1/XU1tTMk+NS4fSWitiAs02z64uHgwHKFENz+dW+7XtrsmyexNxh3ELXzh0+Gm1s7t9ZSQp8Qgh+NdtfQT/0IMqJQjgEqh7TwmakP9N5GioNyhz3eZ0/lYPRGz1zGLc/M3g2Y68o5tfStNHM9MXvbaX1wklCVif9zPP4QCsMnw1Yt1rLcw37rXlrWgR5UNYrALX0jxVy5aw42lhpREECtTBlRKM8AlY+5/vXwcNiqzXUljtneM2tqwFyLxwJzlcnGhjY0xpZLPnbTl0lyzLT1iLnK7E6tqT0eMStzloUAV0CjBeYqs5etjm4wi7zDKpUpIwrlGqByMlfT8dO5YfaDWz/cM464nWaursWe97wppVKr8+QwmFOaM1fuWq/77bWFk095QD8ipJrrqaVvhRPkje6IeFCgL5PkmGmt28aRJxWf+B3ZcqVUa2oG6W7QFdAo1Vy5pW+Ea01aHWNCuhukUKaMKJRzgMrLXN1whUVjYLpciFPryWPmcDFvrjI6VLvM4X4CPbTkuLlyd7K/Uy3Xd40pl35wZzSdKfhR2dCPCIvSwkKImW3+NNRaESmpQl8mIYQQDuu05oTgtvnicadRq5Rqzd4h3cB9BTRaMHIVQghumy91rVkqV5Kz5sRQLlNGFMotQOVnruLE7G2Gy5r4ZH9v7AiRZq5ynn+9w46D9cbBq3FzlamV6zvGh+ClJdPLK4V+RMgwV8nMZvebC0IGFejLJIQ4MXvfLozLfMq6rUwdi84V0CjDXL032Ad3G7XlVnQWlJxkyohCOQSoHM01zITUNfaH9dO+jAipaWEhhHAstt//iyaTw+nmmtjqI6+2YSv4VZnQjwjnmquYm+qjB32ZuGs+6ujvsgamDutUCfeB6Gt0vrl60+ToA30MGVFIdYDK01zDpefVr3a0H7ztASnm6k2j1neN6Sxz5OqZa+FWsdOPCMuY66ml3ypayV8I6jLx6avBk0xnFXKS5RbdHVPUNRJLmavglr6BHVMfQ0YUUh2gcjXXcJdqxA7nzdU97DdqS6WF/bUb9V1jWqR6ST8iLDdy7X5Pt68tiMvEbTbYY/76Pe5Ong/HaeHbYXe7yC7kyXIj1+/vks0uiHxHrgujkOoAlcshEt/9Z7CU0TPOYEMOd81BM74F1rfP2ob+3vFf9c01sGf5CcFm+bUd/Z0rBLfNvxdgwTD9iJBmrtw2X7wy7Zn871/3uvdYobo0F4asTNy1jE6jFpsN8dsUt82XL7w2wO03A63H7PyX+H00ZDUKSTPXmW2+eumpNLMPH3X+fJB/2PoE1MmUEYXyDlBqzTU6J3pN2uOppW/5Pvph1L4eDxA3+6Yr3HfD9lqlVGtqOpu8Z91WuK46PP4w+MDIOXDV7f5BITb20Y4IsZPzIjkGuTpGdmV6z7A5Ly/iZ9Akj2GSq2O85vCc/HZkohr5xI93DRO/crlNuVIq19u9H7EdeXkyolDeASqHtPBnCAqWBJCp+EAjEkAmAXNVAwqWBJCp+EAjEkAmAXNVAwqWBJCp+EAjEkAmAXNVAwqWBJCp+EAjEkAmAXNVAwqWBJCp+EAjEkAmAXNVAwqWBJCp+EAjEkAmAXNVAwqWBJCp+EAjEkAmAXNVAwqWBJCp+EAjEkAmAXNVAwqWBJCp+EAjEkAmAXNVAwqWBJCp+EAjEkAmAXNVAwqWBJCp+EAjEkAmMW+uuHDhwoULF65Pv2LmmpfJX21QsCSATMUHGpEAMgmkhdWAgiUBZCo+0IgEkEnAXNWAgiUBZCo+0IgEkEnAXNWAgiUBZCo+0IgEkEnAXNWAgiUBZCo+0IgEkEnAXNWAgiUBZCo+0IgEkEnAXNWAgiUBZCo+0IgEkEnAXNWAgiUBZCo+0IgEkEnAXNWAgiUBZCo+0IgEkEnAXNWAgiUBZCo+0IgEkEnAXNWAgiUBZCo+0IgEkEmoNtczs38t4yTGb0b22WpvQAghPoza1yulcqV0fcf4sPqvE4J8VeOuNR497+1c6zKHx15xrZ972/VSuVKqNbWnpj3L6Q4vB8oyOdbBYKdarpTKlYa2b9pxnWa2+bTTqFVKazt7bxKv0YKyRkIIIVyLGT/0260OO068wu03g/ZapVSuNLojy8nl7i6LnGSaTY079ZZuxWr4MdPWfYupbegTZdVf/ciVO6xbL5UrpfKNnul7qWz8d5SYqxAO61RhrsvCLf3LW9tfV8uVatxc+dHLvUc/W44I4kJjYLqEIzdZmWbTFw8HB5YrhOD2r3vb9dJm3zzxX+WuOWg27jN7JviUdTebvUM3x5v9NMhqJIQQgk+Gm1s7t9YqpfWkubr/M3ry1ua+gtW5jiwpcpGJT43b1XIlbq7eP3rmujW0TpXdTw5p4TOzdyNprkIIwa1fxmrM1RtAw1yX59TStxLmyn9/M56GQ1Vu6RvzIYMUVGXi/xyPP0SEmQxbtbrGnPB/vwh1cVinqjTEXC5UNYqQ1lJOfx+/nQYSOqxTRVO6IO5hv/1tp70WN9cTs7edV0kWwVxPLfbWVvDFkTuAuV6QFHNNgohQFI6Zth6YK7f0jViH/ZhpX6hMjl0uV0Cjc7uh3NI3kAS6GCdm79u+aTFtPWauMknZ0IbG2FJenrmb68w+fLiza8TNNZhACmfygr+qlHaH7Ke+Nzlxn9muze43S+VKqVxv70/CEnQs9sx7W2JGcN5cw7nDVufJ4aVPStGPCMuZ67U7oynhaVf6MkmOmda6bRxxIdKEO04GIFJcAY0yzdWxmN5pf8ewfOECcNd8sNM7dJN1+9TSt8I1PcpnsvM01/BqR83Vmei79dLabeOIywTXrjHlIlJSazv6O5cfjXbXKqVyvXHzT9Xd4dvnnWp0vlq+eb3DjoX/zrDQE+bqvhu21yrVO6PpjFv6hvzqS/3J9CPCuebKHXZvg/JknrgKMgkhhHBYpxWMe+atFOaaMwvN1VsLUq6UWh1jgqa0LO5hv/3AdPmCuj2zzZ+GWqtSKiteFFK8katXw+TKYdfs3ayUbvZNV4gz2/gmsqhYvlSuVHeHEydYA+ynmmdT4069VK5rzAneec2f442Zq7/AShq8fOlafDb4k6EfEc4z17B+E4a+TMLPjwWrmWCuhSM7Lcztw32tVVlBF18lCmU6Mfe+9xNmGXV7ZrP7TbWLQnI3V5GYc00Z13ouuMBcvVFvwlwl3LXYsPddRyaH083V/5xVbgqiHxGyzfXE3Ls/nNDePCCugkzcNR919HeRQQ/SwoXj/KV/iSVpBFElE3fNR3fDXkh23Y6tRVBAEcw19dX5BY0XNFc5jVq9M5r+K3Pk6n/OKsMN/YiQYa6z6YtH+/SdVdCXiU9fDZ68S6QTuaVvRIXjk2HrOhY05cgS6+pPLX0L5roE0T2s0St1P+uppd+62vtczzFXbukbpXJaVuRC5npi9jYrS6WF/anc6goX49CPCIvMdWazRwMWbCJwJk+ejsnuzyMtE7fZYI/5a/G4O3k+HB8Lga04hWMJc40uSSNJTjKdN3Ltfq9y93Ceh0ikd82C9UfeZOrMNplpzyILmqS5+n0WWZR8MmzVws8MjoJq6ZZz2G/UYubqTet6vZtgl7G32Jjb5k/JE24+EfoRIdVcHcvoNhN9RrL5RkFYJu5aRkdW8vAKHBSHSBSLFHPlR6PddX9Hw8xm9zdiGx/oUQhz5bb54pW3SYTbv+5174XDABWoNdeU4w/lYqU44caYcr09kGcAxeZir303evZN8CE3es/+5p1oGIxH5ZLjcqWhDdk7y9urI9fgBccfBt/OXeu1v2lnbaf3+tJ3RNGOCOEixmi+xVsytkQ2hgxEZYqfQZPay5nZhw93qqvaaaYSohr5xNOYoUZ+vCqVK9XtvnHJnXv1FMNcp6zb8qP6M6b8RMkc0vmphDwAAAelSURBVMKfIShYEkCm4gONSACZBMxVDShYEkCm4gONSACZBMxVDShYEkCm4gONSACZBMxVDShYEkCm4gONSACZBMxVDShYEkCm4gONSACZBMxVDShYEkCm4gONSACZBMxVDShYEkCm4gONSACZBMxVDShYEkCm4gONSACZBMxVDShYEkCm4gONSACZBMxVDShYEkCm4gONSACZBMxVDShYEkCm4gONSACZxLy54sKFCxcuXLg+/YqZa14mf7VBwZIAMhUfaEQCyCSQFlYDCpYEkKn4QCMSQCYBc1UDCpYEkKn4QCMSQCYBc1UDCpYEkKn4QCMSQCYBc1UDCpYEkKn4QCMSQCYBc1UDCpYEkKn4QCMSQCYBc1UDCpYEkKn4QCMSQCYBc1UDCpYEkKn4QCMSQCYBc1UDCpYEkKn4QCMSQCYBc1UDCpYEkKn4QCMSQCYBc1UDCpYEkKn4QCMSQCah3Fxds3cz6zDGaz3z7FK+6MOofb1SKldK13eMD5fyiZ8C5arGXet1v71WKZUrpVbnyaHNw5cc1q0nRdwaWqc53u6nQFmmED41blfnVHBYpwqN8sa1fu5t10vlSqnW1J6a9izyWrShre30XlsuX/g5hWf1MjkWe/Fjb/uGxpzEK9w2n2jNUrlS3R5Ew5UQQsxs82mnUauU1nb23tgrLmD15rrbMSauEBH/+2Zknwkxsw8f7qyda67cNfeHpnv+V3nRBOb6SfDpq8GebOcz+/DhTrXW7B36pX/MtPVk96ilW2RjAl2ZQvjRaHdtzj5nU+NOHRrlCz96uffoZ8sRQnD7zaC9VmkMTN9B+dS4XV3b0d+5Qgg+Zd1Wfd426LBimU4tfffr9lf1UnmulE7M3lfN7oHNBbcP7ja+6psn/kvcNQfNxn1mzwSfsu5mJJStBNXm+g9m+mWRMFchxGz606t/ZJure9hvtPrLmOuZ2b8Gc/1ETn8fv52GgfjU0rcq1S5zuBBCOOP+nw/iA9l7X+oTsnGbrkwBJ2bvzv/RbtUT5uoe9lv3PNWIQ1cj/vub8TQcqnJL3yitd9ixECLZsuSrkf8lhwqZ+GTYqiXMNV5u3GHdetCV5JNh6wu/wOXoa7UpnBznXOfN9Tzcd8P2WqV0E+aaE9xh3bpfd7n9++/RzBWfDFu36OYbBXmZuGs+2Om9nbJu3Fxl9r7W1B6PmLXSrroCiGsUwWGdamCuUqNNf5jFHdZNSXjSISdzPbX0rVhiJuKg3NI3Yu3imGlfbKxyMFBAc41P8unMcrkQ3LWMTqMWyUDKv+KuNf7Rm8YoVxravukPpWCulw93WPfGrjFNq4/c0r9c8BIVaMvkHvbbD0z3zEmYK58MW0HDqTU1A5N5hcBhnWt3RsFY1j3sN2qV6u5w4nD74J726NfYjCwx8jHX+X9xWKda29AnfC434M1qrXKKpHDmyqfG7WpZzkbI/6639ycuF0Kcmb0bpXJ05MotfcNLuwezSn5YgblePsdM247MYUQ5tfRvwpQLTSjLdGL2vu2bJ/4YaC7fxW3zxeNOo1Yp1VY91bRSKGsUhTvs3kZcCG8ilvikuCQfcw2tdP5f5q30szNXb43MDbmwyet0e8mTFHOVTlztMocnX4W5XjIy67ggLvPJcJP8rB5ZmbhrPrprHHEhFpqr98Yp67YqmMzLHS/NEFfBnYx6vb7WqpRqckkOXWCuonDmmnRE7z3Sa+fN1cO1mD74XrtVh7muDvdwoD2dLMgockv/kvIUkYSqTO7hoPvCT8hnmqtITPXRg6pGMU7MvfvDSby5uO+Gu9poOhNiZrP7TSQYzgVp4cVcirk61sFgp7p22ziaYeS6OvjRy71ni5z1auSEBVWZUncbL95yQ3zdGU2NosymLx7tJ5w1uRKHu+agie3I2SxY0BT9l+gipuQCbD4Ztq5/VguaZFrYH9p7BrkoLSyrINLCK4ZP2d4jFiyvcN/t629iseFK5IQFdZk8zh+53u0SzjEQ12hms0cDFiz7cyZPno4dnjKKWv1GkZWCrTgiT3MNFzHGtg24k/0dbxHTmfTOYEGTXL5UKa132HQ6fvM7D8572hpattnbrETN1TtEorbSvsmSEI4I7mSkteJDomSRXo2csCAtU0jSXLltvnzhraHn9puB1mNYhpoPjmV0m+nZBTlO8A+REM5E3120LJ8EeZnr53yIhOTMNr5JprDahu29mnEMmDPRd+ulckUWkO/EcsfOxHp9Vy6G1AzL/V9/WJw2R6scqhHBO+4n+4DDU0vXFiwhJgZVmWLMm+vBXbmHrbrdfz4mvQ9HENYofkhWSj81OJkPxx+eS2IqJB6RuP3r3nY9sTPTQx4zN3+S60rIMS38GYGCJQFkKj7QiASQScBc1YCCJQFkKj7QiASQScBc1YCCJQFkKj7QiASQScBc1YCCJQFkKj7QiASQScBc1YCCJQFkKj7QiASQScBc1YCCJQFkKj7QiASQScBc1YCCJQFkKj7QiASQScBc1YCCJQFkKj7QiASQScBc1YCCJQFkKj7QiASQScBc1YCCJQFkKj7QiASQScybKy5cuHDhwoXr06/QXAEAAABwicBcAQAAgEsG5goAAABcMjBXAAAA4JL5/2QvpaYySAX/AAAAAElFTkSuQmCC" alt></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">A \({\chi ^2}\) test is carried out at the 5 % level of significance.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Represent this information on a Venn diagram.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">A.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the number of students who had none of the three choices for breakfast.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">A.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the percentage of students who had fruit for breakfast.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">A.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Describe in words what the students in the set \(X \cap Y'\) had for breakfast.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">A.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the probability that a student had <strong>at least</strong> two of the three choices for breakfast.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">A.e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Two students are chosen at random. Find the probability that both students had all three choices for breakfast.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">A.f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the null hypothesis, H<sub>0</sub>, for this test.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">B.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the number of degrees of freedom for this test.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">B.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the critical value for this test.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">B.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that the expected number of females that have more than 5 meals per day is 13, correct to the nearest integer.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">B.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your graphic display calculator to find the \(\chi _{calc}^2\) for this data.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">B.e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Decide whether H<sub>0</sub> must be accepted. Justify your answer.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">B.f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><img 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" alt></span></p>
<p><span><em><strong>(A1)</strong></em> for rectangle and three intersecting circles</span></p>
<p><span><em><strong>(A1)</strong></em> for 10, <em><strong>(A1)</strong></em> for 8, 13 and 9, <em><strong>(A1)</strong></em> for 12, 15 and 17 <em><strong>(A4)</strong></em></span></p>
<p><span><em><strong>[4 marks]</strong></em></span></p>
<div class="question_part_label">A.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>100 – (9 +12 +13 +15 +10 +17 + 8) =16 <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em> </span></p>
<p><span><strong>Note:</strong> Follow through from their diagram.</span></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">A.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{51}}{{100}}(0.51)\) <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span>= 51% <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Follow through from their diagram.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">A.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong>Note:</strong> The following statements are correct. Please note that the connectives are important. It is not the same (had cereal) <span>and</span></span> <span>(not bread) and (had cereal) <span>or</span> (not bread). The parentheses are not needed but are there to facilitate the understanding of </span><span>the propositions.</span></p>
<p><span> </span></p>
<p><span>(had cereal) and (did not have bread)</span></p>
<p><span>(had cereal only) or (had cereal and fruit only)</span></p>
<p><span>(had either cereal or (fruit and cereal)) and (did not have bread) <em><strong>(A1)(A1)</strong></em> <br></span></p>
<p><br><span><strong>Notes:</strong> If the statements are correct but the connectives are wrong then</span> <span>award at most <strong><em>(A1)(A0)</em></strong>.</span> <span>For the statement (had only cereal) and (cereal and fruit) award </span><em><strong><span>(A1)(A0)</span></strong></em><span>. </span><span>For the statement had cereal and fruit award <em><strong>(A0)(A0)</strong></em>.</span></p>
<p><em><strong>[2 marks]</strong></em></p>
<p> </p>
<div class="question_part_label">A.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{54}}{{100}}(0.54,{\text{ 54 % }})\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><br><strong>Note:</strong> Award <strong><em>(A1)</em>(ft)</strong> for numerator, follow through from their diagram, <strong><em>(A1)</em>(ft)</strong> for denominator. Follow through from total or denominator used in part (c).</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">A.e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{10}}{{100}} \times \frac{9}{{99}} = \frac{1}{{110}}(0.00909,{\text{ 0}}{\text{.909 % }})\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(M1)(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em> </span></p>
<p><br><span><strong>Notes:</strong> Award <strong><em>(A1)</em>(ft)</strong> for their correct fractions, <em><strong>(M1)</strong></em> for multiplying</span> <span>two fractions, <strong><em>(A1)</em>(ft)</strong> for their correct answer.</span> <span>Answer 0.009 with no working receives no marks. </span><span>Follow through from denominator in parts (c) and (e) and from</span> <span>their diagram.</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">A.f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>H<sub>0</sub> : The (average) number of meals per day a student has and gender are independent <em><strong>(A1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> For “independent” accept “not associated” but do not accept “not related” or “not correlated”.</span></p>
<p><span><em><strong>[1 mark]</strong></em><br></span></p>
<div class="question_part_label">B.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>2 <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]</strong></em></span></p>
<div class="question_part_label">B.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>5.99 (accept 5.991) <em><strong>(A1)</strong></em><strong>(ft)</strong> </span></p>
<p><br><span><strong>Note:</strong> Follow through from their part (b).</span></p>
<p><span><em><strong>[1 mark]</strong></em><br></span></p>
<div class="question_part_label">B.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{28 \times 45}}{{100}} = 12.6 = 13\) or \(\frac{{28}}{{100}} \times \frac{{25}}{{100}} \times 100 = 12.6 = 13\) <em><strong>(M1)(A1)(AG)</strong></em> </span></p>
<p><br><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for correct formula and <em><strong>(A1)</strong></em> for correct substitution. Unrounded answer must be seen for the <em><strong>(A1)</strong></em> to be awarded.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<p> </p>
<div class="question_part_label">B.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>0.0321 <em><strong>(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> For 0.032 award <em><strong>(G1)(G1)(AP)</strong></em>. For 0.03 with no working award <em><strong>(G0)</strong></em>.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">B.e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>0.0321 < 5.99 or 0.984 > 0.05 <em><strong>(R1)</strong></em></span></p>
<p><span>accept H<sub>0</sub> <strong><em>(A1)</em>(ft)</strong> </span></p>
<p><br><span><strong>Note:</strong> If reason is incorrect both marks are lost, do not award <em><strong>(R0)(A1)</strong></em>.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">B.f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was in general well done. Candidates began the paper well by drawing the Venn diagram correctly. Some students omitted the rectangle (universal set) around the three circles. There were quite a few errors in (c) as some students forgot to convert their answers to percentages. Also describing in words what the students in \(X \cap Y'\) had for breakfast seemed to be difficult for the majority of the candidates. Some misread what <em>Y</em> was and even more missed the complement sign. However, the main problem in answering this question seemed to be the lack of knowledge in the relationship between set theory and logic (use of</span> <span style="font-size: medium; font-family: times new roman,times;">"and" and "or"). Combining probabilities caused problems to many. Common wrong answers were \(\frac{{10}}{{100}}\), \(\frac{{10}}{{100}} \times \frac{{10}}{{100}}\) or \(\frac{{10}}{{100}} + \frac{9}{{99}}\).</span></p>
<div class="question_part_label">A.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was in general well done. Candidates began the paper well by drawing the Venn diagram correctly. Some students omitted the rectangle (universal set) around the three circles. There were quite a few errors in (c) as some students forgot to convert their answers to percentages. Also describing in words what the students in \(X \cap Y'\) had for breakfast seemed to be difficult for the majority of the candidates. Some misread what <em>Y</em> was and even more missed the complement sign. However, the main problem in answering this question seemed to be the lack of knowledge in the relationship between set theory and logic (use of</span> <span style="font-size: medium; font-family: times new roman,times;">"and" and "or"). Combining probabilities caused problems to many. Common wrong answers were \(\frac{{10}}{{100}}\), \(\frac{{10}}{{100}} \times \frac{{10}}{{100}}\) or \(\frac{{10}}{{100}} + \frac{9}{{99}}\).</span></p>
<div class="question_part_label">A.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was in general well done. Candidates began the paper well by drawing the Venn diagram correctly. Some students omitted the rectangle (universal set) around the three circles. There were quite a few errors in (c) as some students forgot to convert their answers to percentages. Also describing in words what the students in \(X \cap Y'\) had for breakfast seemed to be difficult for the majority of the candidates. Some misread what <em>Y</em> was and even more missed the complement sign. However, the main problem in answering this question seemed to be the lack of knowledge in the relationship between set theory and logic (use of</span> <span style="font-size: medium; font-family: times new roman,times;">"and" and "or"). Combining probabilities caused problems to many. Common wrong answers were \(\frac{{10}}{{100}}\), \(\frac{{10}}{{100}} \times \frac{{10}}{{100}}\) or \(\frac{{10}}{{100}} + \frac{9}{{99}}\).</span></p>
<div class="question_part_label">A.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was in general well done. Candidates began the paper well by drawing the Venn diagram correctly. Some students omitted the rectangle (universal set) around the three circles. There were quite a few errors in (c) as some students forgot to convert their answers to percentages. Also describing in words what the students in \(X \cap Y'\) had for breakfast seemed to be difficult for the majority of the candidates. Some misread what <em>Y</em> was and even more missed the complement sign. However, the main problem in answering this question seemed to be the lack of knowledge in the relationship between set theory and logic (use of</span> <span style="font-size: medium; font-family: times new roman,times;">"and" and "or"). Combining probabilities caused problems to many. Common wrong answers were \(\frac{{10}}{{100}}\), \(\frac{{10}}{{100}} \times \frac{{10}}{{100}}\) or \(\frac{{10}}{{100}} + \frac{9}{{99}}\).</span></p>
<div class="question_part_label">A.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was in general well done. Candidates began the paper well by drawing the Venn diagram correctly. Some students omitted the rectangle (universal set) around the three circles. There were quite a few errors in (c) as some students forgot to convert their answers to percentages. Also describing in words what the students in \(X \cap Y'\) had for breakfast seemed to be difficult for the majority of the candidates. Some misread what <em>Y</em> was and even more missed the complement sign. However, the main problem in answering this question seemed to be the lack of knowledge in the relationship between set theory and logic (use of</span> <span style="font-size: medium; font-family: times new roman,times;">"and" and "or"). Combining probabilities caused problems to many. Common wrong answers were \(\frac{{10}}{{100}}\), \(\frac{{10}}{{100}} \times \frac{{10}}{{100}}\) or \(\frac{{10}}{{100}} + \frac{9}{{99}}\).</span></p>
<div class="question_part_label">A.e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was in general well done. Candidates began the paper well by drawing the Venn diagram correctly. Some students omitted the rectangle (universal set) around the three circles. There were quite a few errors in (c) as some students forgot to convert their answers to percentages. Also describing in words what the students in \(X \cap Y'\) had for breakfast seemed to be difficult for the majority of the candidates. Some misread what <em>Y</em> was and even more missed the complement sign. However, the main problem in answering this question seemed to be the lack of knowledge in the relationship between set theory and logic (use of</span> <span style="font-size: medium; font-family: times new roman,times;">"and" and "or"). Combining probabilities caused problems to many. Common wrong answers were \(\frac{{10}}{{100}}\), \(\frac{{10}}{{100}} \times \frac{{10}}{{100}}\) or \(\frac{{10}}{{100}} + \frac{9}{{99}}\).</span></p>
<div class="question_part_label">A.f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">In general this part question was well answered. The major concerns of the examining team were the following:</span></p>
<ul>
<li><span style="font-family: times new roman,times; font-size: medium;">In (f) many students wrote down the expected values table (from the GDC) and highlighted the correct expected value, 12.6. As this is a "show that" question the use of the GDC is not expected and therefore no marks are awarded for this working. Instead it is expected the use of the formula for the expected value with the correct substitutions.</span></li>
<li><span style="font-family: times new roman,times; font-size: medium;">In (e) surprisingly many candidates found the \(\chi _{calc}^2\) through the use of the formula. </span><span style="font-family: times new roman,times; font-size: medium;">Unfortunately this led to some incorrect answers and also to a bad use of time. The </span><span style="font-family: times new roman,times; font-size: medium;">question clearly says "use your graphic display calculator" and it is worth 2 marks </span><span style="font-family: times new roman,times; font-size: medium;">therefore a student should not spend more than 2 minutes to answer this part </span><span style="font-family: times new roman,times; font-size: medium;">question. Time management is essential in this type of examinations and the IB rule </span><span style="font-family: times new roman,times; font-size: medium;">is one minute – one mark.</span></li>
</ul>
<div class="question_part_label">B.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">In general this part question was well answered. The major concerns of the examining team were the following:</span></p>
<ul>
<li><span style="font-family: times new roman,times; font-size: medium;">In (f) many students wrote down the expected values table (from the GDC) and highlighted the correct expected value, 12.6. As this is a "show that" question the use of the GDC is not expected and therefore no marks are awarded for this working. Instead it is expected the use of the formula for the expected value with the correct substitutions.</span></li>
<li><span style="font-family: times new roman,times; font-size: medium;">In (e) surprisingly many candidates found the \(\chi _{calc}^2\) through the use of the formula. </span><span style="font-family: times new roman,times; font-size: medium;">Unfortunately this led to some incorrect answers and also to a bad use of time. The </span><span style="font-family: times new roman,times; font-size: medium;">question clearly says "use your graphic display calculator" and it is worth 2 marks </span><span style="font-family: times new roman,times; font-size: medium;">therefore a student should not spend more than 2 minutes to answer this part </span><span style="font-family: times new roman,times; font-size: medium;">question. Time management is essential in this type of examinations and the IB rule </span><span style="font-family: times new roman,times; font-size: medium;">is one minute – one mark.</span></li>
</ul>
<div class="question_part_label">B.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">In general this part question was well answered. The major concerns of the examining team were the following:</span></p>
<ul>
<li><span style="font-family: times new roman,times; font-size: medium;">In (f) many students wrote down the expected values table (from the GDC) and highlighted the correct expected value, 12.6. As this is a "show that" question the use of the GDC is not expected and therefore no marks are awarded for this working. Instead it is expected the use of the formula for the expected value with the correct substitutions.</span></li>
<li><span style="font-family: times new roman,times; font-size: medium;">In (e) surprisingly many candidates found the \(\chi _{calc}^2\) through the use of the formula. </span><span style="font-family: times new roman,times; font-size: medium;">Unfortunately this led to some incorrect answers and also to a bad use of time. The </span><span style="font-family: times new roman,times; font-size: medium;">question clearly says "use your graphic display calculator" and it is worth 2 marks </span><span style="font-family: times new roman,times; font-size: medium;">therefore a student should not spend more than 2 minutes to answer this part </span><span style="font-family: times new roman,times; font-size: medium;">question. Time management is essential in this type of examinations and the IB rule </span><span style="font-family: times new roman,times; font-size: medium;">is one minute – one mark.</span></li>
</ul>
<div class="question_part_label">B.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">In general this part question was well answered. The major concerns of the examining team were the following:</span></p>
<ul>
<li><span style="font-family: times new roman,times; font-size: medium;">In (f) many students wrote down the expected values table (from the GDC) and highlighted the correct expected value, 12.6. As this is a "show that" question the use of the GDC is not expected and therefore no marks are awarded for this working. Instead it is expected the use of the formula for the expected value with the correct substitutions.</span></li>
<li><span style="font-family: times new roman,times; font-size: medium;">In (e) surprisingly many candidates found the \(\chi _{calc}^2\) through the use of the formula. </span><span style="font-family: times new roman,times; font-size: medium;">Unfortunately this led to some incorrect answers and also to a bad use of time. The </span><span style="font-family: times new roman,times; font-size: medium;">question clearly says "use your graphic display calculator" and it is worth 2 marks </span><span style="font-family: times new roman,times; font-size: medium;">therefore a student should not spend more than 2 minutes to answer this part </span><span style="font-family: times new roman,times; font-size: medium;">question. Time management is essential in this type of examinations and the IB rule </span><span style="font-family: times new roman,times; font-size: medium;">is one minute – one mark.</span></li>
</ul>
<div class="question_part_label">B.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">In general this part question was well answered. The major concerns of the examining team were the following:</span></p>
<ul>
<li><span style="font-family: times new roman,times; font-size: medium;">In (f) many students wrote down the expected values table (from the GDC) and highlighted the correct expected value, 12.6. As this is a "show that" question the use of the GDC is not expected and therefore no marks are awarded for this working. Instead it is expected the use of the formula for the expected value with the correct substitutions.</span></li>
<li><span style="font-family: times new roman,times; font-size: medium;">In (e) surprisingly many candidates found the \(\chi _{calc}^2\) through the use of the formula. </span><span style="font-family: times new roman,times; font-size: medium;">Unfortunately this led to some incorrect answers and also to a bad use of time. The </span><span style="font-family: times new roman,times; font-size: medium;">question clearly says "use your graphic display calculator" and it is worth 2 marks </span><span style="font-family: times new roman,times; font-size: medium;">therefore a student should not spend more than 2 minutes to answer this part </span><span style="font-family: times new roman,times; font-size: medium;">question. Time management is essential in this type of examinations and the IB rule </span><span style="font-family: times new roman,times; font-size: medium;">is one minute – one mark.</span></li>
</ul>
<div class="question_part_label">B.e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">In general this part question was well answered. The major concerns of the examining team were the following:</span></p>
<ul>
<li><span style="font-family: times new roman,times; font-size: medium;">In (f) many students wrote down the expected values table (from the GDC) and highlighted the correct expected value, 12.6. As this is a "show that" question the use of the GDC is not expected and therefore no marks are awarded for this working. Instead it is expected the use of the formula for the expected value with the correct substitutions.</span></li>
<li><span style="font-family: times new roman,times; font-size: medium;">In (e) surprisingly many candidates found the \(\chi _{calc}^2\) through the use of the formula. </span><span style="font-family: times new roman,times; font-size: medium;">Unfortunately this led to some incorrect answers and also to a bad use of time. The </span><span style="font-family: times new roman,times; font-size: medium;">question clearly says "use your graphic display calculator" and it is worth 2 marks </span><span style="font-family: times new roman,times; font-size: medium;">therefore a student should not spend more than 2 minutes to answer this part </span><span style="font-family: times new roman,times; font-size: medium;">question. Time management is essential in this type of examinations and the IB rule </span><span style="font-family: times new roman,times; font-size: medium;">is one minute – one mark.</span></li>
</ul>
<div class="question_part_label">B.f.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">The following diagram shows two triangles, OBC and OBA, on a set of axes. Point C lies on the \(y\)-axis, and O is the origin.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-04_om_16.03.31.png" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The equation of the line BC is \(y = 4\).</p>
<p class="p1">Write down the coordinates of point C.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The \(x\)-coordinate of point B is \(a\).</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>Write down the coordinates of point B;</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Write down the gradient of the line OB.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Point A lies on the \(x\)-axis and the line AB is perpendicular to line OB.</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>Write down the gradient of line AB.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Show that the equation of the line AB is \(4y + ax - {a^2} - 16 = 0\).</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The area of triangle AOB is <strong>three times</strong> the area of triangle OBC.</p>
<p class="p1">Find an expression, <strong>in terms of <em>a</em></strong>, for</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>the area of triangle OBC;</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>the <em>x</em>-coordinate of point A.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the value of \(a\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\((0,{\text{ }}4)\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Accept \(x = 0,{\text{ }}y = 4\).</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\((a,{\text{ }}4)\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p1"><strong>Notes: </strong>Follow through from part (a).</p>
<p class="p2"> </p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\(\frac{4}{a}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p1"><strong>Note: </strong>Follow through from part (b)(i).</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \( - \frac{a}{4}\) <strong><em>(A1)</em>(ft)</strong></p>
<p><strong>Note: </strong>Follow through from part (b)(ii).</p>
<p> </p>
<p>(ii) \(y = - \frac{a}{4}x + c\) <strong><em>(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution of their gradient from part (c)(i) in the equation.</p>
<p> </p>
<p>\(4 = - \frac{a}{4} \times a + c\)</p>
<p>\(c = \frac{1}{4} \times {a^2} + 4\)</p>
<p>\(y = - \frac{a}{4}x + \frac{1}{4}{a^2} + 4\) <strong><em>(A1)</em></strong></p>
<p> </p>
<p><strong>OR</strong></p>
<p>\(y - 4 = - \frac{a}{4}(x - a)\) <strong><em>(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution of their gradient from part (c)(i) in the equation.</p>
<p> </p>
<p>\(y = - \frac{{ax}}{4} + \frac{{{a^2}}}{4} + 4\) <strong><em>(A1)</em></strong></p>
<p>\(4y = - ax + {a^2} + 16\)</p>
<p>\(4y + ax - {a^2} - 16 = 0\) <strong><em>(AG)</em></strong></p>
<p><strong>Note: </strong>Both the simplified and the not simplified equations must be seen for the final <strong><em>(A1) </em></strong>to be awarded.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(2a\) <strong><em>(A1)</em></strong></p>
<p> </p>
<p>(ii) \(\frac{{4x}}{2} = 3 \times 2a\) <strong><em>(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct equation.</p>
<p> </p>
<p>\(x = 3a\) <strong><em>(A1)</em>(ft)</strong></p>
<p><strong>Note:</strong> Follow through from part (d)(i).</p>
<p> </p>
<p><strong>OR</strong></p>
<p>\(0 - 4 = - \frac{a}{4}(x - a)\) <strong><em>(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution of their gradient and the coordinates of their point into the equation of a line.</p>
<p> </p>
<p>\(\frac{{16}}{a} = x - a\)</p>
<p>\(x = a + \frac{{16}}{a}\) <strong><em>(A1)</em>(ft)</strong></p>
<p><strong>Note: </strong>Follow through from parts (b)(i) and (c)(i).</p>
<p> </p>
<p><strong>OR</strong></p>
<p>\(4 \times 0 + ax - {a^2} - 16 = 0\) <strong><em>(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution of the coordinates of \({\text{A}}(x,{\text{ }}0)\) into the equation of line AB.</p>
<p> </p>
<p>\(ax - {a^2} - 16 = 0\)</p>
<p>\(x = a + \frac{{16}}{a}\;\;\;\)<strong>OR</strong>\(\;\;\;x = \frac{{({a^2} + 16)}}{a}\) <strong><em>(A1)(G1)</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(4(0) + a(3a) - {a^2} - 16 = 0\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution of their \(3a\) from part (d)(ii) into the equation of line AB.</p>
<p class="p2"> </p>
<p class="p1"><strong>OR</strong></p>
<p class="p1">\(\frac{1}{2}\left( {a + \frac{{16}}{a}} \right) \times 4 = 3\left( {\frac{{4a}}{2}} \right)\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for area of triangle AOB (with their substituted \(a + \frac{{16}}{a}\) and 4) equated to three times their area of triangle AOB.</p>
<p class="p1"> </p>
<p class="p1">\(a = 2.83\;\;\;\left( {2.82842...,{\text{ }}2\sqrt 2 ,{\text{ }}\sqrt 8 } \right)\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G1)</em></strong></p>
<p class="p1"><strong>Note:<span class="Apple-converted-space"> </span></strong>Follow through from parts (d)(i) and (d)(ii).</p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>A pan, in which to cook a pizza, is in the shape of a cylinder. The pan has a diameter of 35 cm and a height of 0.5 cm.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-16_om_11.14.51.png" alt="M17/5/MATSD/SP2/ENG/TZ1/04"></p>
</div>
<div class="specification">
<p>A chef had enough pizza dough to exactly fill the pan. The dough was in the shape of a sphere.</p>
</div>
<div class="specification">
<p>The pizza was cooked in a hot oven. Once taken out of the oven, the pizza was placed in a dining room.</p>
<p>The temperature, \(P\), of the pizza, in degrees Celsius, °C, can be modelled by</p>
<p>\[P(t) = a{(2.06)^{ - t}} + 19,{\text{ }}t \geqslant 0\]</p>
<p>where \(a\) is a constant and \(t\) is the time, in minutes, since the pizza was taken out of the oven.</p>
<p>When the pizza was taken out of the oven its temperature was 230 °C.</p>
</div>
<div class="specification">
<p>The pizza can be eaten once its temperature drops to 45 °C.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the volume of this pan.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the radius of the sphere in cm, correct to one decimal place.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of \(a\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the temperature that the pizza will be 5 minutes after it is taken out of the oven.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate, to the nearest second, the time since the pizza was taken out of the oven until it can be eaten.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In the context of this model, state what the value of 19 represents.</p>
<div class="marks">[1]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\((V = ){\text{ }}\pi \times {{\text{(17.5)}}^2} \times 0.5\) <strong><em>(A1)(M1)</em></strong></p>
<p> </p>
<p><strong>Notes:</strong> Award <strong><em>(A1) </em></strong>for 17.5 (or equivalent) seen.</p>
<p>Award <strong><em>(M1) </em></strong>for correct substitutions into volume of a cylinder formula.</p>
<p> </p>
<p>\( = 481{\text{ c}}{{\text{m}}^3}{\text{ }}(481.056 \ldots {\text{ c}}{{\text{m}}^3},{\text{ }}153.125\pi {\text{ c}}{{\text{m}}^3})\) <strong><em>(A1)(G2)</em></strong></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{4}{3} \times \pi \times {r^3} = 481.056 \ldots \) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for equating <strong>their </strong>answer to part (a) to the volume of sphere.</p>
<p> </p>
<p>\({r^3} = \frac{{3 \times 481.056 \ldots }}{{4\pi }}{\text{ }}( = 114.843 \ldots )\) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for correctly rearranging so \({r^3}\) is the subject.</p>
<p> </p>
<p>\(r = 4.86074 \ldots {\text{ (cm)}}\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(A1) </em></strong>for correct unrounded answer seen. Follow through from part (a).</p>
<p> </p>
<p>\( = 4.9{\text{ (cm)}}\) <strong><em>(A1)</em>(ft)<em>(G3)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> The final <strong><em>(A1)</em>(ft) </strong>is awarded for rounding their unrounded answer to one decimal place.</p>
<p> </p>
<p><strong><em>[4 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(230 = a{(2.06)^0} + 19\) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for correct substitution.</p>
<p> </p>
<p>\(a = 211\) <strong><em>(A1)(G2)</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\((P = ){\text{ }}211 \times {(2.06)^{ - 5}} + 19\) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for correct substitution into the function, \(P(t)\). Follow through from part (c). The negative sign in the exponent is required for correct substitution.</p>
<p> </p>
<p>\( = 24.7\) (°C) \((24.6878 \ldots \) (°C)) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(45 = 211 \times {(2.06)^{ - t}} + 19\) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for equating 45 to the exponential equation and for correct substitution (follow through for their \(a\) in part (c)).</p>
<p> </p>
<p>\((t = ){\text{ }}2.89711 \ldots \) <strong><em>(A1)</em>(ft)<em>(G1)</em></strong></p>
<p>\(174{\text{ (seconds) }}\left( {173.826 \ldots {\text{ (seconds)}}} \right)\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award final <strong><em>(A1)</em>(ft) </strong>for converting their \({\text{2.89711}} \ldots \) minutes into seconds.</p>
<p> </p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the temperature of the (dining) room <strong><em>(A1)</em></strong></p>
<p><strong>OR</strong></p>
<p>the lowest final temperature to which the pizza will cool <strong><em>(A1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Antonio and Barbara start work at the same company on the same day. They each earn an annual salary of \(8000\) euros during the first year of employment. The company gives them a salary increase following the completion of each year of employment. Antonio is paid using plan A and Barbara is paid using plan B.</p>
<p>Plan A: The annual salary increases by \(450\) euros each year.</p>
<p>Plan B: The annual salary increases by \(5\,\% \) each year.</p>
<p>Calculate</p>
<p>i) Antonio’s annual salary during his second year of employment;</p>
<p>ii) Barbara’s annual salary during her second year of employment.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down an expression for</p>
<p>i) Antonio’s annual salary during his \(n\) th year of employment;</p>
<p>ii) Barbara’s annual salary during her \(n\) th year of employment.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the number of years for which Antonio’s annual salary is greater than or equal to Barbara’s annual salary.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Both Antonio and Barbara plan to work at the company for a total of \(15\) years.</p>
<p>i) Calculate the <strong>total amount</strong> that <strong>Barbara</strong> will be paid during these \(15\) years.</p>
<p>ii) Determine whether Antonio earns more than Barbara during these \(15\) years.</p>
<div class="marks">[7]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>i) \(8450\,({\text{euro}})\) <em><strong>(A1)</strong></em></p>
<p> </p>
<p>ii) \(8000 \times 1.05\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for \(8000 \times 1.05\) <strong>OR</strong> \(\left( {8000 \times 0.05} \right) + 8000.\)</p>
<p>\( = 8400\,({\text{euro}})\) <em><strong>(A1)(G3)</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>i) \(8000 + 450\,\left( {n - 1} \right)\,\,\,\left( {{\text{accept}}\,\,450\,n + 7550} \right)\) <em><strong>(M1)(A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution in arithmetic sequence formula; <em><strong>(A1)</strong></em> for correct substitutions.</p>
<p> </p>
<p>ii) \(8000 \times {1.05^{\left( {n - 1} \right)\,}}\) <em><strong>(M1)(A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution in arithmetic sequence formula; <em><strong>(A1)</strong></em> for correct substitutions.</p>
<p> </p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(8000 + 450\,(n - 1) \geqslant 8000 \times {1.05^{n - 1}}\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for setting a correct inequality using their expressions for (b)(i) and (b)(ii). Accept an equation.</p>
<p><strong>OR</strong></p>
<p>list of at least 4 correct terms of each sequence <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct lists corresponding to their answers for parts (b)(i) and (b)(ii).</p>
<p>\(6\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></p>
<p><strong>Note:</strong> Value must be an integer for the final <em><strong>(A1)</strong></em> to be awarded. Follow through from parts (b)(i) and (b)(ii). Award <em><strong>(G1)</strong></em> for a final answer of \(6.70018...\) seen without working.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>i) \({S_{15}} = \frac{{8000 \times \left( {{{1.05}^{15}} - 1} \right)}}{{1.05 - 1}}\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into geometric series formula and <em><strong>(A1)</strong></em> for correct substitution of \({u_1}\) and their \(r\) from part (b)(ii). Follow through from part (b)(ii).</p>
<p><strong>OR</strong></p>
<p>\(8000 + 8400 + 8820... + 15839.45\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong></p>
<p><strong>Note:</strong> Follow through from part (b)(ii).</p>
<p>\( = 173\,000\,({\text{euro}})\,\,\,(172629...)\) <em><strong>(A1)</strong></em><strong>(ft)<em>(G2)</em></strong></p>
<p> </p>
<p>ii) \({S_{15}} = \frac{{15}}{2}\left( {2 \times 8000 + 450 \times 14} \right)\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into arithmetic series formula and <em><strong>(A1</strong></em>) for correct substitution, using their first term and their last term from part (b)(i), or their \({u_1}\) and \(d\). Follow through from part (b)(i).</p>
<p><strong>OR</strong></p>
<p>\(8000 + 8450 + 8900... + 14300\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong></p>
<p><strong>Note:</strong> Follow through from part (b)(i).</p>
<p>\( = 167\,000\,({\text{euro}})\,\,\,(167\,250)\) <em><strong>(A1)</strong></em><strong>(ft)<em>(G2)</em></strong></p>
<p>Antonio does not earn more than Barbara</p>
<p>(his total salary will be less than Barbara’s) <em><strong>(A1)</strong></em><strong>(ft)</strong></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for a final answer that is consistent with their part (d)(i) and (d)(ii). Accept “Barbara earns more”. The final <em><strong>(A1)</strong></em> can only be awarded if two total salaries are seen.</p>
<p> </p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>Question 5: Arithmetic and Geometric progression<br>Most candidates calculated the salaries in the second year correctly. The most common error was to calculate the salaries for the third instead of the second year. In part (b) the use of \(n\) instead of \(n - 1\) was very common. For the geometric sequence often a ratio of 0.05 instead of 1.05 was used. Also many of the expressions given did not represent a geometric sequence. Candidates who used a list for part (c) did usually better than the ones that tried to solve an equation. In part (d) the sum of the arithmetic progression was done better than the geometric series. Many candidates calculated the 15th term of the progression and not the series. In general this question part was not answered well.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 5: Arithmetic and Geometric progression</p>
<p>Most candidates calculated the salaries in the second year correctly. The most common error was to calculate the salaries for the third instead of the second year. In part (b) the use of \(n\) instead of \(n - 1\) was very common. For the geometric sequence often a ratio of 0.05 instead of 1.05 was used. Also many of the expressions given did not represent a geometric sequence. Candidates who used a list for part (c) did usually better than the ones that tried to solve an equation. In part (d) the sum of the arithmetic progression was done better than the geometric series. Many candidates calculated the 15th term of the progression and not the series. In general this question part was not answered well.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 5: Arithmetic and Geometric progression</p>
<p>Most candidates calculated the salaries in the second year correctly. The most common error was to calculate the salaries for the third instead of the second year. In part (b) the use of \(n\) instead of \(n - 1\) was very common. For the geometric sequence often a ratio of 0.05 instead of 1.05 was used. Also many of the expressions given did not represent a geometric sequence. Candidates who used a list for part (c) did usually better than the ones that tried to solve an equation. In part (d) the sum of the arithmetic progression was done better than the geometric series. Many candidates calculated the 15th term of the progression and not the series. In general this question part was not answered well.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 5: Arithmetic and Geometric progression</p>
<p>Most candidates calculated the salaries in the second year correctly. The most common error was to calculate the salaries for the third instead of the second year. In part (b) the use of \(n\) instead of \(n - 1\) was very common. For the geometric sequence often a ratio of 0.05 instead of 1.05 was used. Also many of the expressions given did not represent a geometric sequence. Candidates who used a list for part (c) did usually better than the ones that tried to solve an equation. In part (d) the sum of the arithmetic progression was done better than the geometric series. Many candidates calculated the 15th term of the progression and not the series. In general this question part was not answered well.</p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">A cross-country running course consists of a beach section and a forest section. Competitors run from \({\text{A}}\) to \({\text{B}}\), then from \({\text{B}}\) to \({\text{C}}\) and from \({\text{C}}\) back to \({\text{A}}\).</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">The running course from \({\text{A}}\) to \({\text{B}}\) is along the beach, while the course from \({\text{B}}\), through \({\text{C}}\) and back to \({\text{A}}\), is through the forest.</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">The course is shown on the following diagram.</span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; text-align: center; margin: 0px;"><span style="font-family: 'times new roman', times; font-size: medium;"><br><img src="images/Schermafbeelding_2014-09-02_om_11.39.47.png" alt><br></span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">Angle \({\text{ABC}}\) is \(110^\circ\).</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">It takes Sarah \(5\) minutes and \(20\) seconds to run from \({\text{A}}\) to \({\text{B}}\) at a speed of \(3.8{\text{ m}}{{\text{s}}^{ - 1}}\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Using ‘<em>distance </em>= <em>speed </em>\( \times \) <em>time</em>’, show that the distance from \({\text{A}}\) to \({\text{B}}\) is \(1220\) metres correct to 3 significant figures.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The distance from \({\text{B}}\) to \({\text{C}}\) is \(850\) metres. Running this part of the course takes Sarah \(5\) minutes and \(3\) seconds.</span></p>
<p><span>Calculate the speed, in \({\text{m}}{{\text{s}}^{ - 1}}\), that Sarah runs from \({\text{B}}\) to \({\text{C}}\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The distance from \({\text{B}}\) to \({\text{C}}\) is \(850\) metres. Running this part of the course takes Sarah \(5\) minutes and \(3\) seconds.</span></p>
<p><span><span><span>Calculate the distance, in metres, from </span></span><span><span>\({\mathbf{C}}\)</span></span><span><span> </span></span><strong><span><span>to </span></span></strong><span><span>\({\mathbf{A}}\).</span></span></span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The distance from \({\text{B}}\) to \({\text{C}}\) is \(850\) metres. Running this part of the course takes Sarah \(5\) minutes and \(3\) seconds.</span></p>
<p><span>Calculate the total distance, in metres, of the cross-country running course.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The distance from \({\text{B}}\) to \({\text{C}}\)</span><span> is \(850\) metres. Running this part of the course takes Sarah \(5\) minutes and \(3\) seconds.</span></p>
<p><span>Find the size of angle \({\text{BCA}}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The distance from \({\text{B}}\) to \({\text{C}}\)</span><span> is \(850\) metres. Running this part of the course takes Sarah \(5\) minutes and \(3\) seconds.</span></p>
<p><span>Calculate the area of the cross-country course bounded by the lines \({\text{AB}}\), \({\text{BC}}\) and \({\text{CA}}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(3.8 \times 320\) <strong><em>(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(A1) </em></strong>for \(320\) or equivalent seen.</span></p>
<p> </p>
<p><span>\( = 1216\) <strong><em>(A1)</em></strong></span></p>
<p><span>\( = 1220{\text{ (m)}}\) <strong><em>(AG)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Both unrounded and rounded answer must be seen for the final <strong><em>(A1) </em></strong>to be awarded.</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{850}}{{303}}{\text{ (m}}{{\text{s}}^{ - 1}}){\text{ (2.81, 2.80528}} \ldots {\text{)}}\) <strong><em>(A1)(G1)</em></strong></span></p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{A}}{{\text{C}}^2} = {1220^2} + {850^2} - 2(1220)(850)\cos 110^\circ \) <strong><em>(M1)(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution into cosine rule formula, <strong><em>(A1) </em></strong>for correct substitutions.</span></p>
<p> </p>
<p><span>\({\text{AC}} = 1710{\text{ (m) (1708.87}} \ldots {\text{)}}\) <strong><em>(A1)(G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Accept \(1705{\text{ }} (1705.33…)\).</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(1220 + 850 + {\text{1708.87}} \ldots \) <strong><em>(M1)</em></strong></span></p>
<p><span>\( = {\text{3780 (m) (3778.87}} \ldots {\text{)}}\) <strong><em>(A1)</em>(ft)<em>(G1)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for adding the three sides. Follow through from their answer to part (c). Accept \(3771{\text{ }} (3771.33…)\).</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{\sin C}}{{1220}} = \frac{{\sin 110^\circ }}{{{\text{1708.87}} \ldots }}\) <strong><em>(M1)(A1)</em>(ft)</strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for substitution into sine rule formula, <strong><em>(A1)</em>(ft) </strong>for correct substitutions. Follow through from their part (c).</span></p>
<p> </p>
<p><span>\(C = 42.1^\circ {\text{ (42.1339}} \ldots {\text{)}}\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Accept \(41.9^{\circ}, 42.0^{\circ}, 42.2^{\circ}, 42.3^{\circ}\).</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p> </p>
<p><span>\(\cos C = \frac{{{\text{1708.87}}{ \ldots ^2} + {{850}^2} - {{1220}^2}}}{{2 \times {\text{1708.87}} \ldots \times 850}}\) <strong><em>(M1)(A1)</em>(ft)</strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for substitution into cosine rule formula, <strong><em>(A1)</em>(ft) </strong>for correct substitutions. Follow through from their part (c).</span></p>
<p> </p>
<p><span>\(C = 42.1^\circ {\text{ (42.1339}} \ldots {\text{)}}\) <em><strong>(A1)</strong></em><strong>(ft)<em>(G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Accept \(41.2^{\circ}, 41.8^{\circ}, 42.4^{\circ}\).</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{1}{2} \times 1220 \times 850 \times \sin 110^\circ \) <strong><em>(M1)(A1)</em>(ft)</strong></span></p>
<p><span><strong>OR</strong></span></p>
<p><span>\(\frac{1}{2} \times {\text{1708.87}} \ldots \times 850 \times \sin {\text{42.1339}} \ldots ^\circ \) <strong><em>(M1)(A1)</em>(ft)</strong></span></p>
<p><span><strong>OR</strong></span></p>
<p><span>\(\frac{1}{2} \times 1220 \times {\text{1708.87}} \ldots \times \sin {\text{27.8661}} \ldots ^\circ \) <strong><em>(M1)(A1)</em>(ft)</strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution into area formula, <strong><em>(A1)</em>(ft) </strong>for correct substitution.</span></p>
<p> </p>
<p><span>\( = 487\,000{\text{ }}{{\text{m}}^2}{\text{ (487}}\,{\text{230}} \ldots {\text{ }}{{\text{m}}^2})\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>The answer is \(487\,000{\text{ }}{{\text{m}}^2}\), <strong>units are required</strong>.</span></p>
<p><span> Accept \(486\,000{\text{ }}{{\text{m}}^2}{\text{ (485}}\,{\text{633}} \ldots {\text{ }}{{\text{m}}^2})\).</span></p>
<p><span> If workings are not shown and units omitted, award <strong><em>(G1) </em></strong>for \(487\,000{\text{ or }}486\,000\).</span></p>
<p><span> Follow through from parts (c) and (e).</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">The cumulative frequency graph shows the speed, \(s\)<span class="s1">, in \({\text{km}}\,{{\text{h}}^{ - 1}}\), of \(120\) </span>vehicles passing a hospital gate.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-21_om_07.03.09.png" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Estimate the minimum possible speed of one of these vehicles passing the hospital gate.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find the median speed of the vehicles.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down the <span class="s1">\({75^{{\text{th}}}}\) </span>percentile.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the interquartile range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The speed limit past the hospital gate is \(50{\text{ km}}\,{{\text{h}}^{ - 1}}\).</p>
<p class="p1">Find the number of these vehicles that exceed the speed limit.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The table shows the speeds of these vehicles travelling past the hospital gate.</p>
<p class="p1"><img src="images/Schermafbeelding_2015-12-21_om_07.07.41.png" alt></p>
<p class="p1">Find the value of \(p\) and of \(q\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The table shows the speeds of these vehicles travelling past the hospital gate.</p>
<p class="p1"><img src="images/Schermafbeelding_2015-12-21_om_07.07.41.png" alt></p>
<p class="p1">(i) Write down the modal class.</p>
<p class="p1">(ii) Write down the mid-interval value for this class.</p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The table shows the speeds of these vehicles travelling past the hospital gate.</p>
<p class="p1"><img src="images/Schermafbeelding_2015-12-21_om_07.07.41.png" alt></p>
<p class="p1">Use your graphic display calculator to calculate an estimate of</p>
<p class="p1">(i) the mean speed of these vehicles;</p>
<p class="p1">(ii) the standard deviation.</p>
<div class="marks">[3]</div>
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">It is proposed that the speed limit past the hospital gate is reduced to \(40{\text{ km}}\,{{\text{h}}^{ - 1}}\) from the current \(50{\text{ km}}\,{{\text{h}}^{ - 1}}\)<span class="s1">.</span></p>
<p class="p2">Find the percentage of these vehicles passing the hospital gate that <strong>do not </strong>exceed the current speed limit but <strong>would </strong>exceed the new speed limit.</p>
<div class="marks">[2]</div>
<div class="question_part_label">i.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(10{\text{ (km}}\,{{\text{h}}^{ - 1}})\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(36\) <strong><em>(G2)</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(41.5\) <span class="s1"><strong><em>(G1) </em></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(41.5 - 32.5\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1">\( = 9{\text{ (}} \pm {\text{1)}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for quartiles seen. Follow through from part (c).</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(120 - 110\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1">\( = 10\) <span class="Apple-converted-space"> </span><strong><em>(A1)(G2)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for \(110\)<span class="s1"> </span>seen.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(p = 4\;\;\;q = 10\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(A1)</em>(ft)</strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: </strong>Follow through from part (e).</p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\(30 < s \leqslant 40\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<p class="p1"> </p>
<p class="p1">(ii) <span class="Apple-converted-space"> \(35\)</span> <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p1"><strong>Note:<span class="Apple-converted-space"> </span></strong>Follow through from part (g)(i).</p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\(36.8{\text{ (km}}\,{{\text{h}}^{ - 1}})\;\;\;(36.8333)\) <span class="Apple-converted-space"> </span><strong><em>(G2)</em>(ft)</strong></p>
<p class="p1"><strong>Notes:<span class="Apple-converted-space"> </span></strong>Follow through from part (f).</p>
<p class="p2"> </p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\(8.85\;\;\;(8.84904 \ldots )\) <span class="Apple-converted-space"> </span><strong><em>(G1)</em>(ft)</strong></p>
<p class="p1"><strong>Note: </strong>Follow through from part (f), irrespective of working seen.</p>
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{{26}}{{120}} \times 100\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for \(\frac{{26}}{{120}} \times 100\) seen.</p>
<p class="p2"> </p>
<p class="p1">\( = 21.7{\text{ (}}\% )\;\;\;\left( {21.6666 \ldots ,{\text{ }}21\frac{2}{3},{\text{ }}\frac{{65}}{3}} \right)\) <span class="Apple-converted-space"> </span><strong><em>(A1)(G2)</em></strong></p>
<div class="question_part_label">i.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>For the great majority, this was a straightforward and accessible question. There were many, however, who had no appreciation of medians, percentiles and quartiles – all straightforward concepts. Most were able to read from the graph, using correctly the scales; only the weakest misinterpreting these. Calculation of the mean and standard deviation are expected to be completed using the graphic display calculator (GDC) – formulae are no longer required and the covariance will<strong> not</strong> be given in questions. Many candidates, however, were unable to calculate the mean and standard deviation of a (grouped) frequency distribution, instead treating the data as raw; comments on the G2 forms from schools indicated that some teachers were also unable to do this and advice must be sought.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>For the great majority, this was a straightforward and accessible question. There were many, however, who had no appreciation of medians, percentiles and quartiles – all straightforward concepts. Most were able to read from the graph, using correctly the scales; only the weakest misinterpreting these. Calculation of the mean and standard deviation are expected to be completed using the graphic display calculator (GDC) – formulae are no longer required and the covariance will <strong>not</strong> be given in questions. Many candidates, however, were unable to calculate the mean and standard deviation of a (grouped) frequency distribution, instead treating the data as raw; comments on the G2 forms from schools indicated that some teachers were also unable to do this and advice must be sought.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>For the great majority, this was a straightforward and accessible question. There were many, however, who had no appreciation of medians, percentiles and quartiles – all straightforward concepts. Most were able to read from the graph, using correctly the scales; only the weakest misinterpreting these. Calculation of the mean and standard deviation are expected to be completed using the graphic display calculator (GDC) – formulae are no longer required and the covariance will <strong>not</strong> be given in questions. Many candidates, however, were unable to calculate the mean and standard deviation of a (grouped) frequency distribution, instead treating the data as raw; comments on the G2 forms from schools indicated that some teachers were also unable to do this and advice must be sought.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>For the great majority, this was a straightforward and accessible question. There were many, however, who had no appreciation of medians, percentiles and quartiles – all straightforward concepts. Most were able to read from the graph, using correctly the scales; only the weakest misinterpreting these. Calculation of the mean and standard deviation are expected to be completed using the graphic display calculator (GDC) – formulae are no longer required and the covariance will <strong>not</strong> be given in questions. Many candidates, however, were unable to calculate the mean and standard deviation of a (grouped) frequency distribution, instead treating the data as raw; comments on the G2 forms from schools indicated that some teachers were also unable to do this and advice must be sought.</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>For the great majority, this was a straightforward and accessible question. There were many, however, who had no appreciation of medians, percentiles and quartiles – all straightforward concepts. Most were able to read from the graph, using correctly the scales; only the weakest misinterpreting these. Calculation of the mean and standard deviation are expected to be completed using the graphic display calculator (GDC) – formulae are no longer required and the covariance will <strong>not</strong> be given in questions. Many candidates, however, were unable to calculate the mean and standard deviation of a (grouped) frequency distribution, instead treating the data as raw; comments on the G2 forms from schools indicated that some teachers were also unable to do this and advice must be sought.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>For the great majority, this was a straightforward and accessible question. There were many, however, who had no appreciation of medians, percentiles and quartiles – all straightforward concepts. Most were able to read from the graph, using correctly the scales; only the weakest misinterpreting these. Calculation of the mean and standard deviation are expected to be completed using the graphic display calculator (GDC) – formulae are no longer required and the covariance will <strong>not</strong> be given in questions. Many candidates, however, were unable to calculate the mean and standard deviation of a (grouped) frequency distribution, instead treating the data as raw; comments on the G2 forms from schools indicated that some teachers were also unable to do this and advice must be sought.</p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>For the great majority, this was a straightforward and accessible question. There were many, however, who had no appreciation of medians, percentiles and quartiles – all straightforward concepts. Most were able to read from the graph, using correctly the scales; only the weakest misinterpreting these. Calculation of the mean and standard deviation are expected to be completed using the graphic display calculator (GDC) – formulae are no longer required and the covariance will <strong>not</strong> be given in questions. Many candidates, however, were unable to calculate the mean and standard deviation of a (grouped) frequency distribution, instead treating the data as raw; comments on the G2 forms from schools indicated that some teachers were also unable to do this and advice must be sought.</p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>For the great majority, this was a straightforward and accessible question. There were many, however, who had no appreciation of medians, percentiles and quartiles – all straightforward concepts. Most were able to read from the graph, using correctly the scales; only the weakest misinterpreting these. Calculation of the mean and standard deviation are expected to be completed using the graphic display calculator (GDC) – formulae are no longer required and the covariance will <strong>not</strong> be given in questions. Many candidates, however, were unable to calculate the mean and standard deviation of a (grouped) frequency distribution, instead treating the data as raw; comments on the G2 forms from schools indicated that some teachers were also unable to do this and advice must be sought.</p>
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>For the great majority, this was a straightforward and accessible question. There were many, however, who had no appreciation of medians, percentiles and quartiles – all straightforward concepts. Most were able to read from the graph, using correctly the scales; only the weakest misinterpreting these. Calculation of the mean and standard deviation are expected to be completed using the graphic display calculator (GDC) – formulae are no longer required and the covariance will <strong>not</strong> be given in questions. Many candidates, however, were unable to calculate the mean and standard deviation of a (grouped) frequency distribution, instead treating the data as raw; comments on the G2 forms from schools indicated that some teachers were also unable to do this and advice must be sought.</p>
<div class="question_part_label">i.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For an ecological study, Ernesto measured the average concentration \((y)\) of the fine dust, \({\text{PM}}10\), in the air at different distances \((x)\) from a power plant. His data are represented on the following scatter diagram. The concentration of \({\text{PM}}10\) is measured in micrograms per cubic metre and the distance is measured in kilometres.</p>
<p><img 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" alt></p>
<p>His data are also listed in the following table.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAr4AAABwCAYAAAD4+nOYAAAgAElEQVR4Ae2dCVgUV9b3/9Ofn/HtIJ+oE4lJFAQkoKi0Oq/bKCpjJDqCS0w0RDGiiTEKaNTMKFFDllFHWXRmTMQASsy4sCXmMzGo6LgkUdoFl7AJ4iu2iQaCpGMMdr3PrV6o7q5e2Kvbw/PwdPWtW/ee8ztV1adunXvu7ziO40B/RIAIEAEiQASIABEgAkTAyQnInFw/Uo8IEAEiQASIABEgAkSACPAEyPGlE4EIEAEiQASIABEgAkTgoSBAju9DYWZSkggQASJABIgAESACRIAcXzoHiAARIAJEgAgQASJABB4KAuT4PhRmJiWJABEgAkSACBABIkAEyPGlc4AIEAEiQASIABEgAkTgoSDQTq+lt4enfpM+iQARIAJEgAgQASJABIiAQxMoKS8zk9/g+LKdzPkVq2R2FBUQAYkQcLZzlvSRyIllQQyyjwUwEikm+0jEEBbEIPtYACORYme0jxhaCnUQo0JlRIAIEAEiQASIABEgAk5HgBxfpzMpKUQEiAARIAJEgAgQASIgRoAcXzEqVEYEiAARIAJEgAgQASLgdATI8XU6k5JCRIAIEAEiQASIABEgAmIEyPEVo0JlRIAIEAEiQASIABEgAk5HgBxfpzMpKUQEiAARIAJEgAgQASIgRoAcXzEqVEYEiAARIAJEgAgQASLgdATI8XU6k5JCRIAIEAEiQASIABEgAmIEyPEVo0JlRIAIEAEiQASIABEgAk5HgBxfpzMpKUQEiAARIAJEgAgQASIgRoAcXzEqVEYEiAARIAJEgAgQASLgdATI8XU6k5JCRIAIEAEiQASIABEgAmIEyPEVo0JlRIAIEAEiQASIABEgAk5HgBxfpzMpKUQEiAARIAJEgAgQASIgRoAcXzEqVEYEiAARIAJEgAgQASLgdATI8XU6k5JCRIAIEAEiQASIABEgAmIEyPEVo0JlRIAIEAEiQASIABEgAk5HwIEc3zqoshfD28NT5H8o5sfvRV5xjcBAgvqR2VAJ9tjerEFx3l4kLNoKZZ3t2pKtUXsaCSF94B2aimKNPVLeQ3FqOLw9piJBWW3PAU5RR6M6jfRVofx51S9yK86o7jdAr/tQKb9AVvw89PPwRL9VeRCehQ1oqPmq1hYjL3s3EiJDEZt32452Nagt/goJkUN111YoYneehsquc8aO5ptSpbYYh3VsvT36YMKqXVA6un2awkOSx95G3qpRgvtyH0xOLYTN06cmD7H+wvt5ONKK70lGQ41Kif2Z8ZjPZPRfjbwaSxpJ9frRoCZvNX9fMv/dtIO1JO1Tg+JDm7U2Yb6A/zwkHCpGrd1nTVvfr5lv8Rn/ezHI0m+FRgXlzlWYoNNv82mV7WuJ17+R16Hd7MQq2tLHxF4hq5CutEOfJt/3xWStL3Mgx7deaPMtFQ4nLkdk6AqkFTbd7ahTbseMiOXYcvwX864cpuQeivclYsuVrpgRMxE+dlm6A3ymRGKGXIkta7PtdJYdBoi4oLWnkTTnbygJ/heKygtxMPwOVs/5AMpaSz9ygmY0KpxJWohx4Rm41vMlZFwsxYV3guAqqNLqm5pCpM1ei105CdiSa9/Di6byIFIOABMSTqCkvBDH94bg1vsRmJt4ugE/KC2gqaYC+z/KAyZuxIXyMhR9nYzxqs2Y7sj2aQFMbd2kpvI49mRWCMQIRNjwnrB+y7mPysM5yFELDusfjGFeHQQFbbV5H6rTW/HqmIX49NqTmJlzHiWX1yLIVVwjyV4/+BHK3DwIERuI2mQtRfvcR2X2akxddBnDs86jhN0TDr+A6r+/hnX2POC3+f2aDSytwPvpu7A6MRfiwyvVUCbGILZkNLZf1ep3560YJNkxENW469BwRjRiw5Y+91H52S58gfHYdLkMJVdP4d8ht7B+ykLr+jT1vm+PJpzgz6unh+Cb1DZ/425mLeKYjF5zs7ibAvEe3PyW27lyknbfpBSu6IFgZyM2f8vfxA1k/QzYxOX/1ogGpHDIT0e4VX4enJffW9yRnxoC5AfuyMqRnFfPkdyqIz9IQROrMjTtnP2FK0p5kQtYeYT7ydAL0z+YC0v5jrNOrYrL3zSFC5j7L+70zV8NRzd1o2n61Pf+oCiFC7PLhr9wpUe/5m4YKavl0vBzp75//VZT9HlQepI7esOYrf16Sds+ej5t/dkU+2hlZ5wjG36vuPstFz/p7Qbem2zTaro+D7i7+Uncs36RXNK3N23cA5g80r1+uJ+OcvFrc7mbRtf2A+6nI29z02zd36RonwffcamT/E3u12L3cLHzREL3A1E9tDLz9zej32xmr7e4AJt+TSOvQxNUjbp+LOnz4Cp39Oh142vIUl2BHE277wsa4jjeJzQu0X4Tf4S1x2OWUB2Z+2CEv7kKr/vJgfMp2HGMvd4VC3Vgr6TykKZ7ra19/ROK2NQ8FPMjfNpjnp6SBH6srCoJ0709MSheCW3Eg8mwPXu1HRmPHMPQvbDP3VAqs+tfH/vPg9krC/ZKI1v3Ko0P4WAhG1/pZNEDZq8SUhHLQhb4OkJ59XVMPzWoUR7RjqYMC8TTFkYqTI/Sfu+Epwf1B1CBnNyLbf/aXlzI5inVXMPJrMvw8n4cLoYWO0MRPAylWadQanHQV4Na5U7EbuuBuLdfxiD39oajHW+jA3qN/G90N7oTtEc3Dy/I21gZWa+hGNndmK2smwf62hTMmezTxkaw1X3NOWRty8Un6xKQln3M5N5l6WANas7sx0fn/40N61ORk9eQV9WW2mym8tp8JK/ch57vxWLhYHcbo9asT+lePxr1k5i0ZDTchde2phhZ8Vcx0eqIvETtI+uCngFdoc4vQInhjVwtbpT8gtDgvlbetDnK/eAeSk/kosDHE0+46I0mg6tiNEKLc3Gy1EoYUKOuw2a6Ziw1I/PEyJFPGl9DOhtaOoSVN/6+b61V4316usaljvjNxQ8jx/UEcBsXy++Ix8Swm9rihYhLvyDQ8AI+WbMQ0dvybbzW1b1mmbsJhwXvjtS5SVgavg6fVZq8uMh9E9OnxGBLri66WJ2LxOfewE5DDBt7pbEQ06OTBO2xkI35mLrsU1TyTpeuz4i1+OSKvlMm7xxMjd6FQsPFL1CH39S/4pIjYIQfHjPs1sY35aSuwuQF2YY+VHnvYoKHPi6vHR7ro0AAAHXmESgtxrUZGnXYDU3pKWSf74i+Hl2ML06m0XkrNxpNMTLWpgBTAqDZvVAbQ9fgWDPpY2s/KhC9DTdgCcn7iAKDelsJKHFk+whj20JiEMvirgPjJTrX4B6KM5PxCbs1XfkYcdGzEfLcWuQU2wg3452vfVBDjcL0OCyNCMPzq7LtdJpb8jzUhYfhj/hvTQZe5eOPxQYj7JOhra8fmXsv9DK5ftk9b3/3UPzJWkiJZO3TGYOmTIPvlU2I4H//7kGVtxOHHnsDC0d2tWwUR7kf8AMxZyEP8EA3M8/sLLJPXBP3a9DI69AysRbe0wkjBvUSDDbZ2Z2t+76dzbBqZngbcKxEq6pxvepn0ROkrug40pkDKZ+F5AulKCkvxbnMJfBlN+DERGQU18E9LAnfZS5GJ6ad22LsKSnDmRgF2mnK8FXKQaihwOuZZ7XxRSfjMY6NPqkLUWY24aYfZiR8gXMsDklfD5dx4pJ2spGmOBtxiUoA/RCeegJFuhjGcD851Afi8S82al1zEv/6azbU8vGI/VIb01RycT9ig92hzt2G9DM/ittAcwfXClg/XQVOHRuNfgMjpizA0jUfo+DATuw59yNqlR9gbkQyCgUtGUbV1KW4dsvEoRfUc+xNDWpvlKEUT8H7ifrxXnt00jrMT0HhG4ChUdtwofw8Pl/eDh/NfRPJdsRi2dNH29ZhD06VCJ8XZDIS3LZSAexNxn9wcdZMjDUZCRZK5qj20agOYc1zz2PjnQnIuFgM5QpX5OSqIJ8QCO92Qg2lst0BPhHp2rjwzH8gNrwfcGUHli5Osx4jL/PF7JxLfMzfns2xmOEHFKavtGPwoYX11r0B8h3oj4BhC/Hh5VKc+3IhsC26gbJJ9fphI4pKPP38COvXtVTtAxlcFK9g+94VGHIyFhP6DsSC8mexdvFQ41Ftk9PEYe4HtTdRUgyTN5Amyoh+beR1KNpWCxfWXMShgmBEBpuMBFvt1r77vtUmTHY6oeNroqHgq8zdE3/gHdUdiBzyChIyP8WhCh/EfV2IkvJ0zPaxMrHCcDP4B0beyENO9kdYPXclDvIDsT/jTo3Ja4j+kzFrki//VCPrPgjPDHMTSFKH7y8pUcBKgufg1aDu/BOIzH0s1hy4hJLyo4gL6oq6krM4wNpXf4G4Z/prQx36TkQcP4psJRRB8zOqKtiBj6KLq16ndrxTX3JxjzYkBEp8tDkOW08N4oPoS8ovISvCV/skJHdFl0eYcD+i6q4jp7UQIG+2TZ3DLB+AsaEDdTdcV/jOisbS/t85waRA9lpwN3Z1mY9IBf/412zkmtxQbT4+Su+M2HkDrYwWOKh9NBX4bO0qZHq8hW1vh8HHpR1cnw7EEMgb8UPYZNINbKA93BXPYvY7e3E8NRK+V/Yhy9JDubBlmTsUf34ZcZ9/heTZ3ijcth9n2vINE+94dIQieBwUfPiSDC6+07BseaBuYMTkHi/UxbAt4euHOfaf/R5jFZ0N0lrdkJp9eGHbwaXTE/Cft5B/YCpYsxxv51WKDnRpdXPQ+4FVw1ja2cjr0FJzzV5eDeX2z9Fl9UtQmLyJsNqVXfd9qy2Y7XRCx1eOp9weFR3KlnV/Fm+lv4sZLBZYnYstS2KwNHoBpg8JxASbr9pqUJi6AP16DcX0Rey4OEH4gdDB1DH+fSd0NNDthKf6uAvg30NlWYngu9hmHW5XlGljjcV2M39YVS0+Y/d2BS5XWTjIZSBeXjGNj99Un+uBMa9Yf1q20IoTFMvg8oQnvHAdJTfsT4YD3Met8lJz7rKeGDY5ECguww2LISgOgK02HymZblhq1blsCz2qofzoINyW2bppOqJ97qPy03jEHvDC0iXjDaNxdZVlUMKeDAltYQ+xPtvDPegVLAtHw+YHyLojaGkMZiAPh5QW3mKJddfMZZpb5bjID2QIG+4Ar+HBCLD3PiHZ6wfgwxz8/ghFg+Z8sPfC0rAPe+NTW7gLy5MeYHrUG7oHJiA9YpGVLAEOdD9weRzePkBpyU0bYZfC81Nsu5HXoVhTzVbGHgj3IsstooEDKvbe9xsmqME1a9hhEqytuYGCvGsmr/dN5WRPRDMRx0ZVLx5EckI8Nm5ajDFyFmu2Esv3FVt8ctQUZ+LNNV9AjX6YsWYjEjJPoagkA68LB3JNu7P4vQO6e3pr9/5Qjbuik6hkkHdy004w0oVcsPQtRv/JYRC604buuvaAv0W5dMHybOS7Kh8FZfaMYhhadqoNmddQhPU3njxlcGwtpvvRTfyyFAZiNDHBwXDxaWTKMe7NF+DbkCfyFleTpcXZi8vPLMJsXyuxvbwcDmgfXRgVwiMx2fDWqRoXjh5HtdwLPbuZnqMtDrwJHbjgCe9eDR+l5n/0ezU47KgJgpodqg3xsjRHxI6QKMleP0xVXZiD1UlgZkjqCyRgH7BY3eWbcHOgn/ZNG3PI16ZhTxSsvGlzoPuBfvCknjq/pX0ga+gDcCOvQ5O+m+srn/Lv0jCsiOhj5W2daW8Nue+bHmv9u3M4vmxCSOLfsfG8Gug/B7NEA93ZRLEY7USkkHeRV9sTQWFhCA2bigmjRN1HATl9PCgAeS8MGjcRExWd8f3xA/jK0siq4GjzzfoJZDifhY+P6V7V1F5CGr+IAJtoVgwXNpuTd1D3YGv6Jf4pkI8D5DM8jLK8OIHsUbj1YAeKhGDUFiJn+1l0mdIPgIWAeXUN7vzKpO4Mt46SDC40R9qYEv5G081kdIrNEr6FgMlD4SV6degfHErxzaXvBQ9Kto5rjICteIymEnlbvoTL9NB6p7f2EtJTT7VxZo/7UOWlIaPjBMw0OL01KNy5C8dEX4s7oH3MYvt0s9DZHIAGZ2VpxXNGtKta3Cjrg6gpPqJv3UQPYYW1N1E2YLbA8bdYs+V2uPbF2CldUfrNFcHiLbp7v8UHYZ04kr1+9PI1MMzBlLIU7MNfJ/wPk0A6V3gH9rWSgcaR7gfatwteRpPK7Tz/BES0m428Ds3aaXqBRpWHf+zrgOde1Du9bOQ+E2l89i1L7Tf0vm+pHfFy0Z928aoSKs2NwQg+tZdu1Z++4zA/MVc7CWz9FAuLNbRH9+CZeJmFOVxJRuQQX23MbK9RWHpABcjHIWKcpzbWtqMbnmLqGtKZnUOH3oEYwccHZ2PpMHasL0ZEHAT82NCqiINpA5fMJwyxUQoAF5AeMRy9mT76+F2/mYga7wmZqwLhy8dDDhUOr5mIAR6e6D0kkp+gJw+eh/BBFmK1DClDdKMX+hXcWB9/2Ao8vxCLZ09GANQoWM8ciHtQKb8xzKo2vPJzuNEmG9DNdneAz7QovJy/GZv4ODF2sX2ADfmTEDut/odbU5mN1/wFq9m5DsOC94bg+F/fx05+wRSW8H4fdhUYH2fWnSQKdA+AIZvrJyCxh6G3FiBy03v11wV/Pk5HBjo34Am9uRWsQXH2u5gb8R4S9dcIf933x4R99/E4Pyotoo9D2ketc7jYubQDyTlX2VM2AoZ1ROU5O1Y6am709rTH0jF+9kX9Snr8AgGb8Z/RMzHS8Drd3D78imifKQ3OpUZ1CpvXn0XQgmFWUlLZI1BT63TFyNdiMOLoOqzZoR9o+AZp6RV4eXWY7nfFXB9I9vqp52E5zMFcH8nax3UAJs97GgXrE3T3XfbAdAVZ6acxYs4Y3UCFuT5woPsB7xfMK8KGjUf460OjOoJN64oE5x8ATQVyFozChHjdAkN2XYf150LrbbH0sdlYPWchEjfNwYhe+lUavTDgmUzgcd2kclN9YM99v2laOKbja6azO8ZExWPP4UTrr0JdBiN6bzaS17wIX0MbcviGr0ZyzlqE6maKy7zGY+WSYN1TpBzd8AD3hfHB7Fi/F7Em82Nse2VEI3PedoIi6h/Yk8BCLfTC6PRIWYYgfnKFK3wj1iEjdbU2Lpmvxup8iIyEmfUjc/rDDZ8sF20Q5FBr44U0P+PONTXgNwsbdXrKfKbgb2vGQ67ehw3rM1HZPRA+vCNRP7otnzK64fFgBhkcZMNlMBanvIEu6VPR2yMQc3M9EZfyio3g+/boHrYWGZv9cWIym3QYiLk5rnj1A1vHtQYT7bKVvf+0FgWowCcRg60vWc1uOssisNQoxZ9ezoa+XtMf1xyf7AdsNaZG7zDKOKJtWW5lRJ7VkLJ9RNjoHnBxIAYj+y7Ev2uGI3LBKDzBHkz3fo0a984NGz0V6aJlili+139hOj+IMBTzE/+D2pCliNVN1rXcZxXO/PMl7Q+h/zwknfwN49+M0t3zLB/VGntk3Sdhfc7b8D8eqR1omPM53F57H4stTfSU7PUjpMXCHEowfMoAOx8spGof3W/mX7pgj36y9x8SUDUjEevDeli5RqRyP9AtId1rPOLOq6FOnwOFh+nS0UzHeKzt8m+M6+WJ3nOOwPvdeMvnH2/mxl6HwnOkMdvW9dFUforloTGCuVCCPiy+QWnKfV/Qvo3N37F1LPR12AIJLIaU/pyAAFtnfcgcfIJZSP56tcXlNs01ZY7TVESmAzNSM/jsEuZ1pFPibOcs6SOdc0tMErKPGBXplJF9pGMLMUnIPmJUpFP2sNjHSUZ8pXPiSEYS/rWQAlA3cKY0y7OXWWElVloyGpIgRIAIEAEiQASIABFoEAFyfBuEy5Eqd4Ji7iLMkFvJ92umzn1UHs5BjroHZsRMtBArbXYQFRABIkAEiAARIAJEwCEIOPGUfYfg37JCugYh7nIZ4uzuhcVCxeNCmN0HUEUiQASIABEgAkSACDgMARrxdRhTkaBEgAgQASJABIgAESACTSFAjm9T6NGxRIAIEAEiQASIABEgAg5DgBxfhzEVCUoEiAARIAJEgAgQASLQFALk+DaFHh1LBIgAESACRIAIEAEi4DAEyPF1GFORoESACBABIkAEiAARIAJNIUCOb1Po0bFEgAgQASJABIgAESACDkOAHF+HMRUJSgSIABEgAkSACBABItAUAuT4NoUeHUsEiAARIAJEgAgQASLgMATI8XUYU5GgRIAIEAEiQASIABEgAk0hQI5vU+jRsUSACBABIkAEiAARIAIOQ4AcX4cxFQlKBIgAESACRIAIEAEi0BQC5Pg2hR4dSwSIABEgAkSACBABIuAwBMjxdRhTkaBEgAgQASJABIgAESACTSHwO47jONaAt4dnU9qhY4kAESACRIAIEAEiQASIgGQIlJSXmcnSTl/CdjLnV6ySvg59EgGpEXC2c5b0kdoZZiwP2ceYh9S+kX2kZhFjecg+xjyk9s0Z7SPGmEIdxKhQGREgAkSACBABIkAEiIDTESDH1+lMSgoRASJABIgAESACRIAIiBEgx1eMCpURASJABIgAESACRIAIOB0BcnydzqSkEBEgAkSACBABIkAEiIAYAXJ8xahQGREgAkSACBABIkAEiIDTESDH1+lMSgoRASJABIgAESACRIAIiBFoJce3BsV5e5EQOZRPmcZSZnj7z0NC5jEU12rE5HLwMp2+i7ZCWddcqmhQW3wMWfGrsFlZq2u0DqrsxVqmkdlQNVdXzdoOk/srge37YHJqIZzR6s2KjRojAkSACBABIkAEmp1Ayzu+mkrkrX4JIRHLsSVX4Jqpc7FlyWyEPPc+8lT3m12xtmywTrkdM5i+x39pPjHqziF5+mwsS1TiQfO12got/Ygzae8IbK/G9aqfyfFtBfLUBREgAkSACBABImBMoIUd33so3rEckWkXAHkwovaeQlF5GUrKz+PA9iUYIwdwJRmLt5xEjbFc9M0uAu3gHpbELzpSkhwGd7uOae1K9/CT6i4AOQLWfMHb/0yMAoaVU1pbHOqPCBABIkAEiAAReGgJtKzjW/M1dqw/AUCB19M3YNFgd2g7dIXP2HlYtvx5zFjzD6S+PgyuBhOYhkX0wYRVqcgrFrrG/4OcSAW8PRSYn/kNlNnxmO/vyb/y7xe5FWdMRpA1KiVy4uehHwux0IdZHCqGPmCA77q2GHmpqzBBXydkFdLyhHXs6VMbevD0lCRUs0arkjDd2xOD4pWog/74Z/H37EysCekDbw/9a3/TcABdKEi2EioWE6DKxnzvqdhSxRq9gi1TAuAdGA9lnaVQB31YhEBnM32Ex+6GUpldH47gPw+bT6tsj8oyZpn17L09QhGbmlcfvsLk9vgjluYywdUoWDMevT0WI0fVbPEfhrOGNogAESACRIAIEAEiYItAiw681ZWcxQE1ALcRGNmvk4ksHeAT8TfEGZXWoDB1BZ5b8wXYYdo/NQrT1yIy/TO8nrkd0QphO1U4vOQFHNZXZe5V7jq88EMHHMiKgA/zsmtPI2lOBLZcqW8RLMxi7kUUJezGlrAekGkqkLNsFpYeEIRiXPkYcRGHcGJNMjZF9IGLoQ9rfYajo6GepY0r2Bq9VLezB/p6dAEqP8Xy0BgcFIjIyxh9EUXYjS1DLLUlVq5BbeEuLJkci8PC9nh9srAnKhW7YwYL9AGQ+yam5wraUuci8blf4PpVMmb7dBDsEGzWXkJadCTihOEruIBP1szBJ7uXYM/ehVAIqtMmESACRIAIEAEiQATamkALjvjW4XZFmXbkc6AnutvhYmuKM/Em7/S6Y8ya/TjHwiKunkDy7H4AlNiycieUppPh/GZh41fnUVJeiGMJYWDREzivxOXv2ajiPRTvS9Q6vX6RSP66kK93PDUSvlDh4F+341hNHWqObUfsARXkwXH4/GIpSspLce7LOIyRq3B4/R6cqTGZimWxT/ChB99lLgbvnrstxp6SMpi92vdbgj2sn6sHsOIPcpQe3IeDajl8o/bodD6KjSEscEGFb8tuQ+Mehg9LMvC6G1POD69nFqDkbAwUYkw1xchY/j7v9NbrUwitzmoUJv4NyUp+PFpw7vXDjIQv+L6LTsZjHA/xMk5cui2oI9xkXN/XOr3y8Yj9kvEvQ9HXyQj3kwNXtiJ2Wz5qmdzl/8HGYCa4G8Yk/Acl5UkIdRcTXNg+bRMBIkAEiAARIAJEoPkJtKDjKxD2h2rcNfEdBXt1m/dQeiIXBexb/1ewbJZulFXWHUFLYzCDjwc+gGNFwmFMOQKen4k/+7BAifboPmQUjAdHb+Py8ctap+uV2Qhyb8/Xcw9aic+ZU315LYJc76Hk7Gl+hFmdG4sJfb3g7eGFAc/oRkzVeTik/FEgrq0+BVVFN9nx4zDARQbI5HCRy+ETkY6S8rPYPuoODmVnIu2tRYbR5/t3agSj36INGhVqSk8h+zxjNBxLV0yDL+sH7eEe9AqWhffgHyDSj16FUbBB/8mYNcmXHwWWdR+EZ4bxHrZRu0ZfNNdwMuusNm53eTRe8tUGqsjcR2PJimmQQ43CHcdRZNSJUQv0hQgQASJABIgAESACrU6gBYfe2qFrD09+5LO6okrr+Fp1s+twt0rrYHYK6gdPYV25K7o8wuIYVLhcUc1ChnV/j+D3nR7VxQ0D6NoD/m7AYT4WFkDd9yjLZ1+sOXLVuH5JEOKgb9rweRe3qu8ZvgE2+hTUFN/syoc31KtnITRBd3D7Lq7aUWzxxsxKNXercJ2Vug1EgKcwTKEDXLs8ytevvlSB22Cj6Lq/33dCR4NAnfBUH3fAKIRBX1H3qfkZVRXMufbDqH5P1POHDHLXTmCPF+qqMly/XQeFNGfcmShEX4kAESACRIAIEIGHgYDB3WkJZdt5ByKEjdRWHcexC6av1zWoyVuH1+L36iautUNHt868GNV5F1AmHCFW1+DOr2yXO/x7CGN8bUjd7jF4DmRO76/4odpSCq0O+H/u2sjcTlEZ+I7POsEyT+j/lfgw7EkbHTVk96Po4jJs1CkAABgxSURBVCpwSA2hCXL4hsdi4+YMHL9agD1Rfg1p1FBX1tENT7FvVfkoKBM67PdQc+dnvl6nPj3Q1XBEIzZkj8KtBzPsNRy9cEMwCU4DdU01+OR0bp54qmsLPlc1Qmw6hAgQASJABIgAEXi4CbSo4wvXAZg8jw3PKrElfJkgU8B9qE5/iDde24qDicsR+UYmijUd4DU8GAHMHuc/wIYdl7RZF1ge4I3x+IQfYAzByN58AKqdVusK/xH+2owCu/fhGJ/tgY2wpuuyQIQjrVgORXAQP6pavW0bPi5k2SPuQ5X3rjbDg/9q5JnG+NrZu13Vam+ipJgp54qeg4Lx5z8r8Nj33+DTg9fsOty0ksxrKML6M0YnsHHdPhTyMdFMnw+wIb2Cz7ARPqpX09KJyXpi2ORALdf1CdjJMwM0qiPYtG4f1JDDd9YI9Ca/19Q89J0IEAEiQASanYAgSxHLzCTZBZ2aXXFqsBEEWtbxRScoojZrJ6fxmQKGojefLswXI55bp806wCZHrZ/CZ2CQ+YQhNoo5yiocXjMRA1jdXsO1eYBZSrR3X4KCj1m1V9MO8JkWhdf5CVfJiBziK4jflcN39hw84yWH66DpWBrsDqi/QNwz/eHt4YsREckohDvGLJ+OQa4Nw1Q/6ipMZ2ZBZpdeGDRKO5HtYPQonk/vIYtxCt15Z9wQ42sYZRWmMxNpU+aDqatfhS9zSw0xy3p92AS6NxFplBlDpA2bRQKuBmae6D0kEukse4bfq4ibN9A4c4TNNlu7gjblWw5LxxZo4eGmthiHDWnwWFq9XVCapMoDalB8aLMhnR6/IqFpqrzWUo2ll8vejYTIUMTmiU1MtENnJmtNHmJ16QH59H8e7AFR+PagNRSyR9b7UCl3IZZPDTgU85NOadP/GYnHHrK36uzDbJhdn27PqF5rf2H6CVc0HIr58V+ZyaZRnUb6qlDLaRhbW2wr/dmW1eRaCVmFdKUdaROt9Nlyu+yzDzQqKHfq0mDamway5YS20DJ7u7q6Pp2nPmUn/ym8th3JPqaq6nLaX0jBDLkcASP88JhpFQf5ztKv7tenCTUbeBOxZWgqioVvyCWmp2V92u58a5hH1xigbHLa2p04kLoerzPn0vDXj8/hu+dwImbrJkeBOcoxKSZ1WQjAaiR/lWKSyszQkPUNl8FYnLITG6OC62Nl5cF4PWEntq8eC3dGwKUPZifsQPKaF3mHkW+Q1dm+wySVmfWu9HtlXuOxcom+Pzm64QEsug2yHvjz6iSsCdfH3PbDjLhUpG1fyE/UU2cegZKNOMs88cyqRdpFP1hHLDPCPbGzXQYXxULs/ioNG4Q6+72I2NRs81RmeqEb+ukyGNF7s5G8aXG9TGA2TcEBlsqsQQ8oDe286fU1xTsw572dyFmVhMN8GI1Jm5oK7P8oD5i4ERd0GSvGqzZj+pwPBJlF7qMyezWmLrqM4Vm6zBaHX0D131/DOlHH06SP5vyqKUTa7LXYlZOALbmmYUXajmzqzFe7j8rDOchhLyH0f/2DMcxLEJ6jL2/BT9uyalCr/ABzV5ZhbMpZlFzNwMw7f8fcxNOC/Nwa1J77ErkIw9bL2qwj41XrMPVvx9p8wRwNn8LwLVwekazL5JKBmdVbjGVjqRhf+QhVoR+giGWayRqFy4tmYXl2hSC8qAWN0JCmbcp6H5Wf7cIXGI9Nl1m2nlP4d8gtrJ+yEElmWWYa0nHL1LXLPqiGMjEGsSWjsf1qGYoOv4A7b8VIUJ8foczNE58kbbi2Hcs+4lbXoEZ5BDnqQIQN7ymYeyJeW3ql2of0V8csxKfXnsTMnPO6CfgCN03zPziy+6DAlnIETB4KL0EV6ehlTZ82Pt84wZ9XTw/BN9okAtIn0LRz9heuKOVFzsvvLe7ITw+MlH1QepI7euNX47KiFC6s50hu1ZEftOUPvuNSJ/lzASuPcD8ZamrbNC4z7LS50TR9OO6BqYxmPVrWma9691suftLbZjzMmrGzoGn6WJGVZx9cbwsmz09HuFV+L3KpRb9opXtwlTt69DpXb9kH3E9H3uICROxtpzpc0/TR9yKuF287g2xi59Gv3I2s6CbJr5dA/9mc+hif8yaymtmC4zjR60cvWeM+m1Mf0/uCsX1015rBXkxe3fk1KYUrqj/pGqeI7qhm0eeno1z82lzuppFMTNa3uWkp32mvD4eyjyWkP3BHVo7kvAZs4vJ/s1SnecubxT68SA+4u/lJ3LN+kVzStzcF9yyhvNo6YUa/N8L9Td9uNX3a+HyT5HOCdJ5YSJKHlYCs11CM7M7yU9T/ybp5oK8wxFzWBT0DukKdX4ASQ37pWtwo+QWhwX0FqxHWtyHtLQ1qzuzHR+f/jQ3rU5FjtHKhtCTXpu3rBu8n6peWgWtfjJ1yC9knrmlHRGWeGDnyScHIz33cKq/AU/MmNjh8qXm1b49uHl6Qqy/iXIl+RUoNam+U4fqU0VCw0Co+ZeBleHk/LggZag/3Pv3hZZZisXmla3Br9shqZgsAuuunwf21+AF22Ae69Js+nnjC8HZLBlfFaIQW5+JkqcV3fC0uvWkHGvWTmLRktPbtpn6nphhZ8VcxUT8y6lD20Sth8llXgXOfV0A+IRDejja/pDYfySv3oed7sVhoWOHWRD/8iDOZ+1CQHo8Nqdkmq9ma1m3j77b0aePzjRzfNj4/qHsHI/CIAoN66xfY7oxBU6bB98omRETvQmHtPajyduLQY29g4cgm5c1oGyj8jyGbnMhWS4zD0ogwPC+ZmFghEp3TIfdCz27GDydsYmpB1imUmkYB8UuSv48NZeHYHmWycqGw6VbZlsF10ES87PcdtoT/BWmFNfzE0MTcJ7FVv3w7P+nVPAZH+/B1GxfL70gn3KFJsnbCiEG9BM59qxjARid22EeXy1we4IFuZr+iZ+sfvmz01Bq7Ze690MvgnGt7ZA+O+7uH4k82Q5ikaB9xapqyCzha1QMTvO/iU31cvEcoYrMLBeFP4se2baluoS38Ef+tycCr/PwK85h/TfF+JPIT1NkKqTGI/NNLEtXNPn3EmbfO+WZ2yYoLQ6VE4GEnwOLH/oOLs2ZirGEkmMVTv4Lte1dgyEm2+MlALCh/FmsXDzUeXXEUdDJfzM65xMdf7tkcixl+QGH6SkSzVfgkpQMbVb8OGI22WRJQNxmk7zhErtmBw98ewzel+lFWS8e0Qjk/9yAZUcPO8RNqe79yHS+8PQ+D+EV22LyDx+HtA3EnHqa5wFtBXmtdNFbWmos4VBCMyGDhqLy1jlpxny378M4+TEbkW1G+JnXFHhyVePr5EehuzQOQsn3M9K/D95eUKEAFPj9+A0+/vhclF/cjNvh7fBIdh4xWn5xrJqDlAt0bE9+B/ggYthAfXmYrxy4EtkUb3XtlPhHI4uebZCCBn490AZ9E/1VkJVbLXbXKHjv1MZOlFc83a6e9mVxUQAQeWgK1+fgovTNizbJVtINLpyfgP28h7ygWrFmOt/MqpTMa1xiDydyh+PPLiPv8KyTP9kbhtv3my3Y3pt02OUYG16C1uFBeiOOZ72IG9mFp6GrkVPLZpttEIn2nMpfO6NFnOl5nE1vPb0D02kP1WSlkPpgcMw1yo9SOKihzcqFUP2Uc4qFvsK0+GyVrNZTbP0eX1Q3N1NN6Slq1T+uJ0fw9Mcfks99jrEKbN1+8A+nbx1juanx35jzgtwSpCfO1D5Auvnhm4mAAP6LqroSXEeUfojpCETwOCv7BVwYX32lYtjwQhYmJZk67zF2BiRHv4LOvkxHu9x0+yjzX5pN1jWzRQH20x7bu+UaOr5HF6AsRECNQDeVHB+G2zPRHWrvq3vKkB5ge9YbOUQTSIxZJcGa3mF42yvTLhcN02W4bx7X4bhc84f0UUFyGG4bYaludtoe7YibWJi1DgFqJM0VtPOpbewlpy3YCzy9E9Dt7cTx1JpC2WJCVgjnsS5GxfSawnqV2HIr5iYdRUFiAQsNMfFs6t9b+hsrKMnLsRZZbRDOkVmwhHW3ZRzfKXVpyU2JvQ2zz4MMc/P6ojSUXre4A9jGVm40WZt5GwPPjMMAQ1lGHu9VsNVhveHZv3aw0puJZ+665VY6Lwiw6fGX9ugbXUXJD/H2bzH00lqyYBugzP1nrpBX3NVyf1j/fyPFtxROCunJEAiztyl5cfmaRIO2eTg9+1b1NuDnQTxvawKfuS8OeKGDL2mxJ51a02xL8D3wvaY0wQv+jYKKF5g6uFdy1mt5Hu8CLaVywSTst/pXFwL2PuEpv+PMjPO3hHvQX7M58FTAa4XGFz9hF+JCl/yo/hQ+jBgIFasyImcjnPW9xMRvUgf2yaioPIuXSMKyI6COx2F69wnbYx7CIj/4Y7af2R1/K6bR0YQ5WJt9K3z7GzNk3LXeTECB9HHbIGAx+TLqz3azH7Vt7uyODyxOe8LIr5MucWUuVNFSftjjfyPFtKetTu05AgK14l4aMjhMw05BrugaFO3fhGMutLDqpxxXegX3rc0Y7OoXamygbMBuTfaQ1YsI7sD4ncUjJRnR0f7w9/K3n8GR1KvoKJijqD27NT12MslGXMrh4B0AhzBoi3M9WsFz7V+wJeg8rgiQ+cdKKrBpVHv6xrwOee1Hv9LK3JplIOya24IoQQGtu22Mf7cOXl9FomzYzR6nkRuQF7GyEOTiGfQT68Jv6ya5BgvCN+6j8dCs2Fo/E0ugx1mOZTZtr7e98NpquKP3mSn2oE+w5l1id2+gvtQfhBujTVuebkzu+tVDGP6td9chotRpPeLNXh/HZgpW4TJY89FiMHJUwLsh0xZRnkaA0fQXBVpLKRkLkmybH6q4k4Upg/vOQYPcKX9VQxk+FdwNX0NIUp2KyRx9MiBcm9W/tq9pR+6tBcfa7mBvxHhIjhutWHGTnTX9M2Hcfj7PXafyS3E+jQLBsM2qvICv9NEbMGSPRpOKW7cGvsPOZ0nDz1ahOYfP6swhaMEx6qdn4FQonQbnuA+Sx1fT4pc03QzkvClN1TrqmMhuv+YcidudprU58nWTciooUTFC0zKPl9uiygQjjd1GDwszdODBqmslM+xoU5+1FwvxI7OryhgQyUlijYk1WthJaNlbPWYjETXMwohe7lti/FwY8kwk8LkhLZ62LVtlnn334lUbnFWHDxiP8+aVdsr0IL68Ok+CIvBac5TAHR7KP6UlwG5ePX4bckAqQrab3NuZFX8WUf8biJcOghelxUvneFSNfi8GIo+uwZsclPnRGo/oGaekVgnOJ+RZfYL9hpUO2OMR2bDgWiFcll0HIHn3a+HwTpjxuvuTFwlbbcvsul78phE86z3QT/R+fxOXfZZm9f+NuZi0S1BEsVMCrYNpWCBeff1en3E9c0ZEUbtV4f93xi7jsmyYZtB9c47JfHcJ58cnNdcmqew7hFmRds5Csup6bdlECD5OFEur3W97SJfTuKUjqb7myQ+5p9DnLL3YgPCf8uTB9MndOl3xf9JwR1mM5629y+TtWcs/q6/pFcvG5RZz+zGgo1Ebrw+ltLdDJNJG+VZ2ZKrncav05zPTIOMoV8ddGQ7Wor99ofWzIqu3hV+7mt//i5vkxnSdxq3Z8a5yk/+5FLnXuEMM1HTB3E5edbyk5fL3M1rYarY9Zo79yN/M/FtwzhnDzNh0U8Nbb0597dmUKd6SofokUs6aaUNA8+tiW9cGNLG4BbyfB+am/ZkzP0zbXhwlgyz46IR/c5E4nRnIBTJfxK7mdTTy/TFVvHvvoW2WLoqzk4vOr9AWGT8ezj0F0na2yuHjDtd6y14yw5+azzwPubtHBeh3MzqVfuZtH3jH8zrB7WeaRxv/OCHUQbreWPm19vqFllBa22pbbemc1kJuXdV0giPAHU+/gmjq+Jo6mbpUhdmJo/+sd39/yk7hpK1bofoDZflPHV7eiT08PbuCmfI53iX/L5+IHeIiuGiYQlOMMDo1eTuO91r/V92u8qpL1oxxpb/NdqNLQmvSRhh0sSUH2sURGGuVkH2nYwZIUZB9LZKRR/rDYx8lDHSy9ymgP98ETMWGYG4C7uFVtssrO6Ocxo78cakH8lnalKDXkz72I59hhgr92ikXY+7f38Pd/zrIQ26lfK12Op9weFawkBUB9GudKzKZ01rfOz1atANAfg57uVF9u15YMrk8HYgjrRqCLXYdSJSJABIgAESACRIAIOBmBh9TxZfEx+/H5ySoA7vDvYeJQ/p9+GDs5UOCU6oLn0QOh44ahm+hJIIPctRNE54vzs83Z5I1H8PtOJo4vVLhcUS3aIsAWTTiCHOYX91fA32xmKoupy0baqnC8ll3B547VxjUK4nof88Pw/nJAasucWtCYiokAESACRIAIEAEi0FIEpJvjo1k1rsLh6D/CO9q8UXnIfEwfwCZWCCeyyeHdbyA6IRlHL9zAYkUX7UpRbNTVrwvKzJuxXqL5GVUVzHt9RKReFZRl36MOT8LcGPdxq7wU7EjzpTHZZLxVCIn+TNumSonvw3rgMVlHPNYTOJh3CTejBsNH1gU9A7oC5/XLnHY1HnEWkYiKiAARIAJEgAgQASLgjAQe0hFfZsp+mLEmBRkbJommOmnnHYgQuVq7ZGg1S45doRt1/b+teB7U4W6VNl1T+y6uJmEU7eAelgBlqi684odq3NUAMvexWPXuq/jD5KG6rAId4NrlURbsgOtVPzv2imKtSJ66IgJEgAgQASJABJyPgPkgo/PpCMANYxI+xYdhT9qvHZ+Lrgc+Sf8SOSnuyFHLdYnxf7a/DX1N2aNw6yEHWGSF2Z8bFJ6PiYz2sorVuH5JZXZEfYE+hncHDldU8Y4vZPdQVvEE3pjmQyO79aBoiwgQASJABIgAESAC5BtZPgc64elB/QF8ja2J2VCjCavx6MMN8Ct+qDYddRWJMTYI1QlP9XE3fLO68Ws1atR1qFXm4GSPMVAYlm20ehTtJAJEgAgQASJABIjAQ0PgIQ51sGXjdnisjwIB+mpyL/TsJjp1TV/DymdnKIKDIBcLN5APxgBvS8s1tUNHt858u/fv1PCxvmaddO0Bf5ZlQl2Fn27lI+OCD6YqhJP17qHmDhulFskoYdYYFRABIkAEiAARIAJEwHkJkONrxbb8sqgsIwJzG/Wrwlisfx/fV1TgPr//R1TfFU6Wk8F15FzEhbijOu8CyjQa1F44ga+q3DHuvbkY6WrJDO3RzcOLj+1VF5TjlsZi5wBK8HlaMQKmDYDRGkiGjBIm65hba4r2EQEiQASIABEgAkTACQlY8ricUNVGqCTriWEsrRlLYxbc1+KyrXXKeAzy8MXIaBYSwf5OIO5PfvAOjIdS7//KeiB0Qyo2BmQhpJcXBoRfwJ+278D6sB5W4k1kcFWMRijzvYvLcKPWmuf7X/CfMtE8xKH2JkqK1YBcuI55I1jQIUSACBABIkAEiAARcHACTj65zQWKmP+Pkhh7rMSyJCShJCxJULkDfCLSURIhKGqnQPTZMggzo7VTxOBMuR2duPgi9J0chL4jaM/WpmGSXR4OKRchKKiryBFy+Ea9iUijEAdWrT4PsDx8NBQWR5ZFmqQiIkAEiAARIAJEgAg4GQEa8ZW8QTtj0JRp8EUFcnIvogYa1Co3Y0LIZihrNdCUXcCJIe9iW9Rg4xAHXi/9inHDsXT2EIsj1pJHQAISASJABIgAESACRKAZCJDj2wwQW7YJGVwUM7AsvIdu2eFaFB09gMIr+5B1phTnTvwX/mIhF7Gm8jj2ZFZAHh6JyT4dWlZMap0IEAEiQASIABEgAhIn4OShDhKnb7d4XRH0zlGU8CESGtSOCoFv4lYocy9h1pvPwcdC6jJZ9zD883KY3b1QRSJABIgAESACRIAIODMBcnwdzrpsBHgRPi9f5HCSk8BEgAgQASJABIgAEWhLAhTq0Jb0qW8iQASIABEgAkSACBCBViNAjm+roaaOiAARIAJEgAgQASJABNqSwO84juOYAN4enm0pB/VNBIgAESACRIAIEAEiQASajUBJeZlZWwbH12wPFRABIkAEiAARIAJEgAgQASciQKEOTmRMUoUIEAEiQASIABEgAkTAMgFyfC2zoT1EgAgQASJABIgAESACTkSAHF8nMiapQgSIABEgAkSACBABImCZADm+ltnQHiJABIgAESACRIAIEAEnIkCOrxMZk1QhAkSACBABIkAEiAARsEyAHF/LbGgPESACRIAIEAEiQASIgBMRIMfXiYxJqhABIkAEiAARIAJEgAhYJkCOr2U2tIcIEAEiQASIABEgAkTAiQj8L6c2gsdgmaPeAAAAAElFTkSuQmCC" alt></p>
<p>Use the scatter diagram to find the value of \(a\) and of \(b\) in the table.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate</p>
<p>i) \({\bar x}\) , the mean distance from the power plant;</p>
<p>ii) \({\bar y}\) , the mean concentration of \({\text{PM}}10\) ;</p>
<p>iii) \(r\) , the Pearson’s product–moment correlation coefficient.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the equation of the regression line \(y\) on \(x\) .</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Ernesto’s school is located \(14\,{\text{km}}\) from the power plant. He uses the equation of the regression line to estimate the concentration of \({\text{PM}}10\) in the air at his school.</p>
<p>i) Calculate the value of Ernesto’s estimate.</p>
<p>ii) State whether Ernesto’s estimate is reliable. Justify your answer.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(a = 4.2\,;\,\,b = 74\) <em><strong>(A1)(A1)</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>i) \(5.91\,({\text{km}})\) <strong><em>(A1)</em>(ft)</strong></p>
<p>ii) \(88\) (micrograms per cubic metre) <strong><em>(A1)</em>(ft)</strong></p>
<p><strong>Note:</strong> Follow through from part (a) irrespective of working seen.</p>
<p>iii) \( - 0.956\,\,\,\,( - 0.955528...)\) <strong><em>(G2)</em>(ft)</strong></p>
<p><strong>Note:</strong> Follow through from part (a) irrespective of working seen.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(y = - 5.39x + 120\,\,\,\,(y = - 5.38955...x + 119.852...)\) <em><strong>(A1)</strong></em><strong>(ft)<em>(A1)</em><strong>(ft)</strong></strong></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for \( - 5.39\). Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for \(120\). If answer is not an equation award at most <em><strong>(A1)</strong></em><strong>(ft)<em>(A0)</em></strong>. Follow through from part (a) irrespective of working seen.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>i) \( - 5.38955... \times 14 + 119.852...\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into their regression line.</p>
<p>\( = 44.4\,\,(44.3984...)\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></p>
<p><strong>Note:</strong> Follow through from part (c). Accept \(44.5\,\,(44.54)\) from use of \(3\) significant figure values.</p>
<p> </p>
<p>ii) Ernesto’s estimate is not reliable <em><strong>(A1)</strong></em></p>
<p>this is extrapolation <em><strong>(R1)</strong></em></p>
<p><strong>OR</strong></p>
<p>\(14\,{\text{km}}\) is not within the range (outside the domain) of distances given <em><strong>(R1)</strong></em></p>
<p><strong>Note:</strong> Do not accept “\(14\) is too high” or “\(14\) is an outlier” or “result not valid/not reliable” if explanation not given. Do not award <em><strong>(A1)(R0)</strong></em>. Do not accept reasoning based on the strength of \(r\).</p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>Question 1: Reading scatter diagram, mean, correlation and regression line.<br>The majority of the candidates scored very well on this question. There were only a few candidates who read the diagram incorrectly. The most common mistake in parts (b), (c) and (d)(i) were rounding errors, sometimes resulting in candidates losing follow-through marks when working was not presented. Part (d)(ii) was answered incorrectly by most candidates. The most common incorrect answer was based on strong correlation. Some commented on the trend of decreasing PM10 values for increasing distances, showing lack of understanding about extrapolation.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 1: Reading scatter diagram, mean, correlation and regression line.<br>The majority of the candidates scored very well on this question. There were only a few candidates who read the diagram incorrectly. The most common mistake in parts (b), (c) and (d)(i) were rounding errors, sometimes resulting in candidates losing follow-through marks when working was not presented. Part (d)(ii) was answered incorrectly by most candidates. The most common incorrect answer was based on strong correlation. Some commented on the trend of decreasing PM10 values for increasing distances, showing lack of understanding about extrapolation.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 1: Reading scatter diagram, mean, correlation and regression line.<br>The majority of the candidates scored very well on this question. There were only a few candidates who read the diagram incorrectly. The most common mistake in parts (b), (c) and (d)(i) were rounding errors, sometimes resulting in candidates losing follow-through marks when working was not presented. Part (d)(ii) was answered incorrectly by most candidates. The most common incorrect answer was based on strong correlation. Some commented on the trend of decreasing PM10 values for increasing distances, showing lack of understanding about extrapolation.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 1: Reading scatter diagram, mean, correlation and regression line.<br>The majority of the candidates scored very well on this question. There were only a few candidates who read the diagram incorrectly. The most common mistake in parts (b), (c) and (d)(i) were rounding errors, sometimes resulting in candidates losing follow-through marks when working was not presented. Part (d)(ii) was answered incorrectly by most candidates. The most common incorrect answer was based on strong correlation. Some commented on the trend of decreasing PM10 values for increasing distances, showing lack of understanding about extrapolation.</p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;"><strong>Throughout this question <em>all</em> the numerical answers must be given correct to the nearest whole number.</strong></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Park School started in January 2000 with \(100\) students. Every full year, there is an increase of \(6\% \) in the number of students.</span></p>
<p><span>Find the number of students attending Park School in</span></p>
<p><span>(i) January 2001;</span></p>
<p><span>(ii) January 2003.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Park School started in January 2000 with \(100\) students. Every full year, there is an increase of \(6\% \) in the number of students.</span></p>
<p><span>Show that the number of students attending Park School in January 2007 is \(150\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Grove School had \(110\) students in January 2000. Every full year, the number of students is \(10\) more than in the previous year.</span></p>
<p><span>Find the number of students attending Grove School in January 2003.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Grove School had \(110\) students in January 2000. Every full year, the number of students is \(10\) more than in the previous year.</span></p>
<p><span>Find the year in which the number of students attending Grove School will be first \(60\% \) <strong>more than</strong> in January 2000.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Each January, one of these two schools, the one that has more students, is given extra money to spend on sports equipment.</span></p>
<p><span>(i) Decide which school gets the money in 2007. Justify your answer.</span></p>
<p><span>(ii) Find the first year in which Park School will be given this extra money.</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(100 \times 1.06 = 106\) <em><strong>(M1)(A1)(G2)</strong></em></span></p>
<p><br><span><strong>Note: <em>(M1)</em></strong> for multiplying by \(1.06\) or equivalent. <em><strong>(A1)</strong></em> for correct answer.</span></p>
<p><br><span>(ii) \(100 \times {1.06^3} = 119\) <em><strong>(M1)(A1)(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> <em><strong>(M1)</strong></em> for multiplying by \({1.06^3}\) or equivalent or for list of values. <em><strong>(A1)</strong></em> for correct answer.</span></p>
<p><span><em><strong>[4 marks]</strong></em><br></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(100 \times {1.06^7} = 150.36 \ldots = 150\) correct to the nearest whole <em><strong>(M1)(A1)(AG)</strong></em></span></p>
<p><br><span><strong>Note: <em>(M1)</em></strong> for correct formula or for list of values. <em><strong>(A1)</strong></em> for correct substitution or for \(150\) in the correct position in the list. Unrounded answer must be seen for the <em><strong>(A1)</strong></em>.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(110 + 3 \times 10 = 140\) <em><strong>(M1)(A1)(G2)</strong></em></span></p>
<p><br><span><strong>Note: <em>(M1)</em></strong> for adding \(30\) or for list of values. <em><strong>(A1)</strong></em> for correct answer.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong>In (d) and (e) follow through from (c) if consistent wrong use of correct AP formula.</strong></span></p>
<p><span>\(110 + (n - 1) \times 10 > 176\) <em><strong>(A1)(M1)</strong></em></span></p>
<p><span>\(n = 8\therefore {\text{year 2007}}\) <em><strong>(A1)(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><br><span><strong>Note: <em>(A1)</em></strong> for \(176\) or \(66\) seen. <em><strong>(M1)</strong></em> for showing list of values and comparing them to \(176\) or for equating formula to \(176\) or for writing the inequality. If \(n = 8\) not seen can still get <em><strong>(A2)</strong></em> for 2007. Answer \(n = 8\) with no working gets <em><strong>(G1)</strong></em>.</span></p>
<p><br><span><strong>OR</strong></span></p>
<p><span>\(110 + n \times 10 > 176\) <em><strong>(A1)(M1)</strong></em></span></p>
<p><span>\(n = 7\therefore {\text{year 2007}}\) <em><strong>(A1)(A1)</strong></em><strong>(ft)<em>(G2)</em></strong></span></p>
<p><span><strong><em>[4 marks]<br></em></strong></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong>In (d) and (e) follow through from (c) if consistent wrong use of correct AP formula.</strong></span></p>
<p><span>(i) \(180\) <em><strong>(A1)</strong></em><strong>(ft)</strong><br></span></p>
<p><span>Grove School gets the money. <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><br><strong>Note: <em>(A1)</em></strong> for \(180\) seen. <em><strong>(A1)</strong></em> for correct answer.</span></p>
<p><span><br>(ii) \({\text{100}} \times {\text{1}}{\text{.0}}{{\text{6}}^{n - 1}} > 110 + (n - 1) \times 10\) <em><strong>(M1)</strong></em> </span></p>
<p><span>\(n = 20\therefore {\text{year 2019}}\) <em><strong>(A1)(A1)</strong></em><strong>(ft)<em>(G2)</em></strong><br></span></p>
<p><span><br><strong>Note: <em>(M1)</em></strong> for showing lists of values for each school and comparing them or for equating both formulae or writing the correct inequality. If \(n = 20\) not seen can still get <em><strong>(A2)</strong></em> for 2019. Follow through with ratio used in (b) and/or formula used in (d).</span></p>
<p><span><br><strong>OR</strong></span></p>
<p><span>\(100 \times {1.06^n} > 110 + n \times 10\) <em><strong>(M1)</strong></em><br></span></p>
<p><span>\(n = 19\therefore {\text{year 2019}}\) <em><strong>(A1)(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em><br></span></p>
<p><span><strong>OR</strong></span></p>
<p><span>graphically</span></p>
<p><span><br><strong>Note: <em>(M1)</em></strong> for sketch of both functions on the same graph, <em><strong>(A1)</strong></em> for the intersection point, <em><strong>(A1)</strong></em> for correct answer.</span></p>
<p><span><em><strong>[5 marks]</strong></em><br></span></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question was well answered by the majority of the candidates. Most of the candidates were able to distinguish between the arithmetic and the geometric progression. A number of candidates worked out term by term by hand for which they needed more time than those that used the formulae to find the requested terms. Some of the students that found the terms the long way also lost a mark for premature rounding. It was pleasing to see how the last part of the question was answered using different methods. Those candidates that worked throughout the question using AP and GP formulae used either the solver or a graph to find the solution of the inequality. Those candidates that worked throughout the question in the long way also managed to compare the terms and find the correct year.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question was well answered by the majority of the candidates. Most of the candidates were able to distinguish between the arithmetic and the geometric progression. A number of candidates worked out term by term by hand for which they needed more time than those that used the formulae to find the requested terms. Some of the students that found the terms the long way also lost a mark for premature rounding. It was pleasing to see how the last part of the question was answered using different methods. Those candidates that worked throughout the question using AP and GP formulae used either the solver or a graph to find the solution of the inequality. Those candidates that worked throughout the question in the long way also managed to compare the terms and find the correct year.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question was well answered by the majority of the candidates. Most of the candidates were able to distinguish between the arithmetic and the geometric progression. A number of candidates worked out term by term by hand for which they needed more time than those that used the formulae to find the requested terms. Some of the students that found the terms the long way also lost a mark for premature rounding. It was pleasing to see how the last part of the question was answered using different methods. Those candidates that worked throughout the question using AP and GP formulae used either the solver or a graph to find the solution of the inequality. Those candidates that worked throughout the question in the long way also managed to compare the terms and find the correct year.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question was well answered by the majority of the candidates. Most of the candidates were able to distinguish between the arithmetic and the geometric progression. A number of candidates worked out term by term by hand for which they needed more time than those that used the formulae to find the requested terms. Some of the students that found the terms the long way also lost a mark for premature rounding. It was pleasing to see how the last part of the question was answered using different methods. Those candidates that worked throughout the question using AP and GP formulae used either the solver or a graph to find the solution of the inequality. Those candidates that worked throughout the question in the long way also managed to compare the terms and find the correct year.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question was well answered by the majority of the candidates. Most of the candidates were able to distinguish between the arithmetic and the geometric progression. A number of candidates worked out term by term by hand for which they needed more time than those that used the formulae to find the requested terms. Some of the students that found the terms the long way also lost a mark for premature rounding. It was pleasing to see how the last part of the question was answered using different methods. Those candidates that worked throughout the question using AP and GP formulae used either the solver or a graph to find the solution of the inequality. Those candidates that worked throughout the question in the long way also managed to compare the terms and find the correct year.</span></p>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">A parcel is in the shape of a rectangular prism, as shown in the diagram. It has a length \(l\) cm, width \(w\) cm and height of \(20\) cm.</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">The total volume of the parcel is \(3000{\text{ c}}{{\text{m}}^3}\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Express the volume of the parcel in terms of \(l\) and \(w\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that \(l = \frac{{150}}{w}\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The parcel is tied up using a length of string that fits <strong>exactly </strong>around the parcel, as shown in the following diagram.</span></p>
<p><span><br><img src="images/Schermafbeelding_2014-09-02_om_11.55.29_3.png" alt><br></span></p>
<p><span>Show that the length of string, \(S\) cm, required to tie up the parcel can be written as</span></p>
<p><span>\[S = 40 + 4w + \frac{{300}}{w},{\text{ }}0 < w \leqslant 20.\]</span></p>
<p><span> </span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The parcel is tied up using a length of string that fits <strong>exactly </strong>around the parcel, as shown in the following diagram.</span></p>
<p><span><br><img src="images/Schermafbeelding_2014-09-02_om_11.55.29_5.png" alt><br></span></p>
<p><span>Draw the graph of \(S\) for \(0 < w \leqslant 20\) and \(0 < S \leqslant 500\), clearly showing the local minimum point. Use a scale of \(2\) cm to represent \(5\) units on the horizontal axis \(w\)<em> </em>(cm), and a scale of \(2\) cm to represent \(100\) units on the vertical axis \(S\) (cm).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The parcel is tied up using a length of string that fits <strong>exactly </strong>around the parcel, as shown in the following diagram.</span></p>
<p><span><br><img src="images/Schermafbeelding_2014-09-02_om_11.55.29_4.png" alt><br></span></p>
<p><span>Find \(\frac{{{\text{d}}S}}{{{\text{d}}w}}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The parcel is tied up using a length of string that fits <strong>exactly </strong>around the parcel, as shown in the following diagram.</span></p>
<p><span><br><img src="images/Schermafbeelding_2014-09-02_om_11.55.29.png" alt><br></span></p>
<p><span>Find the value of \(w\) for which \(S\) is a minimum.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The parcel is tied up using a length of string that fits <strong>exactly </strong>around the parcel, as shown in the following diagram.</span></p>
<p><span><br><img src="images/Schermafbeelding_2014-09-02_om_11.55.29_1.png" alt><br></span></p>
<p><span>Write down the value, \(l\), of the parcel for which the length of string is a minimum.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The parcel is tied up using a length of string that fits <strong>exactly </strong>around the parcel, as shown in the following diagram.</span></p>
<p><span><br><img src="images/Schermafbeelding_2014-09-02_om_11.55.29_2.png" alt><br></span></p>
<p><span>Find the minimum length of string required to tie up the parcel.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(20lw\) <strong>OR</strong> \(V = 20lw\) <strong><em>(A1)</em></strong></span></p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(3000 = 20lw\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for equating their answer to part (a) to \(3000\).</span></p>
<p> </p>
<p><span>\(l = \frac{{3000}}{{20w}}\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for rearranging equation to make \(l\) subject of the formula. The above equation must be seen to award <strong><em>(M1)</em></strong>.</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p><span>\(150 = lw\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for division by \(20\) on both sides. The above equation must be seen to award <strong><em>(M1)</em></strong>.</span></p>
<p> </p>
<p><span>\(l = \frac{{150}}{w}\) <strong><em>(AG)</em></strong></span></p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(S = 2l + 4w + 2(20)\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for setting up a correct expression for \(S\).</span></p>
<p> </p>
<p><span>\(2\left( {\frac{{150}}{w}} \right) + 4w + 2(20)\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for correct substitution into the expression for \(S\). The above expression must be seen to award <strong><em>(M1)</em></strong>.</span></p>
<p> </p>
<p><span>\( = 40 + 4w + \frac{{300}}{w}\) <strong><em>(AG)</em></strong></span></p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><span><span><strong><br><img src="images/curvy.jpg" alt> </strong> <strong><em>(A1)(A1)(A1)(A1)</em></strong></span></span></span></p>
<p><span><strong><em> </em></strong></span></p>
<p><span><strong>Note: </strong>Award <strong><em>(A1) </em></strong>for correct scales, window and labels on axes, <strong><em>(A1) </em></strong>for approximately correct shape, <strong><em>(A1) </em></strong>for minimum point in approximately correct position, <strong><em>(A1) </em></strong>for asymptotic behaviour at \(w = 0\).</span></p>
<p><span> Axes must be drawn with a ruler and labeled \(w\) and \(S\)<em>.</em></span></p>
<p><span> For a smooth curve (with approximately correct shape) there should be <strong>one </strong>continuous thin line, no part of which is straight and no (one-to-many) mappings of \(w\).</span></p>
<p><span> The \(S\)-axis must be an asymptote. The curve must not touch the \(S\)-axis nor must the curve approach the asymptote then deviate away later.</span></p>
<p> </p>
<p><span><strong><em>[4 marks]</em></strong></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(4 - \frac{{300}}{{{w^2}}}\) <strong><em>(A1)(A1)(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(A1) </em></strong>for \(4\), <strong><em>(A1) </em></strong>for \(-300\), <strong><em>(A1) </em></strong>for \(\frac{1}{{{w^2}}}\) or \({w^{ - 2}}\). If extra terms present, award at most <strong><em>(A1)(A1)(A0)</em></strong><em>.</em></span></p>
<p><span><em> </em></span></p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(4 - \frac{{300}}{{{w^2}}} = 0\) <strong>OR</strong> \(\frac{{300}}{{{w^2}}} = 4\) <strong>OR</strong> \(\frac{{{\text{d}}S}}{{{\text{d}}w}} = 0\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for equating their derivative to zero.</span></p>
<p> </p>
<p><span>\(w = 8.66{\text{ }}\left( {\sqrt {75} ,{\text{ 8.66025}} \ldots } \right)\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Follow through from their answer to part (e).</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(17.3 \left( {\frac{{150}}{{\sqrt {75} }},{\text{ 17.3205}} \ldots } \right)\) <strong><em>(A1)</em>(ft)</strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Follow through from their answer to part (f).</span></p>
<p> </p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(40 + 4\sqrt {75} + \frac{{300}}{{\sqrt {75} }}\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution of their answer to part (f) into the expression for \(S\).</span></p>
<p> </p>
<p><span>\( = 110{\text{ (cm) }}\left( {40 + 40\sqrt 3 ,{\text{ 109.282}} \ldots } \right)\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Do not accept \(109\).</span></p>
<p><span> Follow through from their answers to parts (f) and (g).</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">h.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">On the coordinate axes below, \({\text{D}}\) is a point on the \(y\)-axis and \({\text{E}}\) is a point on the \(x\)-axis. \({\text{O}}\) is the origin. The equation of the line \({\text{DE}}\) is \(y + \frac{1}{2}x = 4\).</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARMAAADSCAIAAADmCLNKAAAQPklEQVR4nO2d32sbVxqGdd3d7b8wgrmSQNBSAr6yCeyF1heKCUso+CbgCKywXXLRsEtGKLQ00LQg46TUUCjjVCmUhXZEQimtXQZDMIvDYBfCYga6EGKhC2PMMKyMCYdvL0ZS9NuyrJn5zsz7kIvEjkZH9vvonPPNN5oEAQDOTyLsAQAgJTAHgEmAOQBMAswBYBJgDgCTAHMAmAQ/zakbeSWpKkk1+8ByBRGRYxZTMwXjpfDxWQEIAr/nnBNbX1SVxXX7hIhI1MzS1QV9H+YA2fF9tfbaKr+n/GXFcomI6MTWtRXr2O8nBcBvfDdH2PqC8m7eeEVEomb8/W9GDTMOkB//KwR1I98059ha/bxaO/X9GQHwH//NccxiKvleefuVWb6L2gCICv6b89paeSeZub78z4826/AGRAX/zRH767l0Zqmy78IbEB0CMWf5U7OO7Q2IFH6bc2ytfrK+7/j8LODCiLr1zacr5mHY4/ADxzb/tbKUK456dcIxv7hr7LtjH9Qnc46t8tXMP/RfVj9+gLM3/BE1s/RB8Ty5kQfhmKWMklSV2ZHmEIn689XlhdK4u3GfzDk0tVk1q1UsFAX4c2yVr0+jJeq0trX9+7CjiFdbW/8NKwzC1hfONIeIyNnXPyzoL8Z5B2HU8dloNBqNRtijiB3C1hdyun3xULs7K8uVIccRrvVFIbyuq7HN8Qpa15vNYiNhZM6zZ8+ePXsW9ijixqGp/XkanYTHVvmqOsxAd2cl+26I/YrnMIdObH0xo5lnbs0ZmXPv3r179+6FPYqY4ZjF1GLHW6xw7a0fyst/1f/j2EYxm1aVmXzX6sWxTb2YTatKUk3dWNm0XaKmNl5fvJLsjZ27s+L9/67NxsDjDBifbZTmlWRmqVzd2X6+e9Q6pv1r+UZGSarKTH51u70lEPWdipZTlaSqpOc1w26dCOkzR7j2LytLMwOfXdj6QqpkOmdozsWcRqORSCQSiQQWbAEiHLOU6UyJYxZTSVVJzy9/Xtmpi+b2uq3Wac249V7z1JyX6bZXJ7a+OHTOEfvruc45Z8Rxuh9n639dbjY6itovla1DIk/Fq3fNmiASNaOQSjePLPbXc7MF46Ug4e5X8u2v95ojXOurYtM37392TUfC1heUxTMXbFzM2d3d9czBgi1ATmx9Ue15f3XM4rDMOWaxK2THVvlq6+HnMWfUcXqHl1kqV7vqTMIxS++1pzWvIFbecZvP8ufmYbufsducQ1Obbc+QA+bJ3uENhos5Dx8+9MzBgi1AzmVOz/xDra943x3fnNHH6X5czSikkqoyky//y7S9bB+a2uyofYioW0++W1maUZUR/o+cUrp/AsPgYs6lS5cSLbBgC4oJzOnaLVzAnGHH6Xto3Xqqa/NKUlW8q4m9Ex6tq4y7OK3vrOXfubHy/U9W7behc86ZYkg057SXaliwBUvfPofOXK2l572lUe/Dz7taG3acYSOtP1+9kUmVTOd/tr7YXQAQ7u4zyxFd+5OzV2u54jc7rVXg8Z75W/dqTZJ9TnuphgVb0PSnZIQ55Ozryxkl1+w2cF+sL/2ldQq1PX0d7T151nvxotf1q5mO+9tT85UYdZyuhzlbP241dTqtGbcynpldxbqkqngSehPX1RXrmOi0bn1bzKYz2k//2dr+XfRXCB7Md+1zrnZepyxTba1zqYYFW7B0nc8Rtr7wZtO8+arZt5Ls2DM49uaDfMr7YBZt3XxTzxX1zbvZtJr9ZFB372nd/GReSc+/6W0ZepwOhLNrPt001rWcqqTntW+t1pE7qs+5om42Jx9RM0s5VUlmlh78av9uarNqtlS1j50Br6Kp1qCqtDznc3qWaliwBczUegiigUQ9BD1LNSzYAufYKl8feDolfpzWjA8X3mzARhG+OVeuXOk3Bwu2QBE1s7QYe3kc2/g4H3av9CQkEowGEz8c2/g8otfnjINwzC/uvqm2nQ2jsMIcIBGMwgpzgEQwCivMARLBKKwwB0gEo7DCHCARjMIKc4BEMAorzAESwSisMAdIhB9hFR09dsmunlbt6+rg3j4imAOkwr+wHprabMcFG8K1zXXNa2Ud/BnTMAdIRGDmeHgXZnRe1dQxlERiY2PDt/EAME0CNodIvKwuz6iDPlvkD2+9dXlubu3LNd+GBMDUCNyc5j13B1wInkgk9vb2VCWJmQfwJ3hzmvWD/svuvH3OxsaGqiS3t7d9GxgAU4CdOUS09uXa5bm5g4MD38YGwEXhtVpr/127c+fy3BwubgNsCalCkLrVf5PqTnMajcbNQuFmoQB5AE94VaU7/3lwcHB5bu6z+/d9GyEAkxP8mdDOjw7qHkrfmdCDgwNVSaJODRgSZPfNTL783dPhd3Eb2EOwvb2NUhtgCKOGl2HdN48rFVVJ2rYd8HgAGIEE5hDq1IAfcpjjldrev3YNpTbABDnMIaJGo/H+tWs3C4XAxgPACKQxh1p1apTaAAdkMoeIvJbQqmEEMB4ARiCZOYQ6NeCBfOYQSm2AAVKaQ62W0KOjI//GA8AIZDUHLaEgXGQ1h4iOjo7QEgrCQmJzCC2hIDzkNodQagMhIb05RFQ1DLSEgoCJgjmEOjUInIiYg5ZQEDARMYc6WkIhDwiA6JhDaAkFARIpcwgtoSAoomYOoU4NAiGC5hDR2pdrqpJEqQ34RzTNIaLP7t9HSyjwj8iag5ZQ4CuRNYdaLaHanTvTPSwAFG1zCHVq4BsRN4dQagP+EH1zqNUSure359PxQQyJhTmEllAwbeJiDhGhJRRMkRiZc86W0NO69dMP5RvNmzJktfUnVv21/fRJ303oQCyJkTk0fqlN1J+v3sikbqwYrZuWiLpllPOpATdpBPEkXuYQkW3bZ7WEntaMWxnl6op13P114VoPFvpuDAziSezMoTPr1I5ZTA24dTYRER1uGf+GOYDiaQ6NagkdeutsADqJqTk0tCX00NRmVWW2aB4GORggHfE1Z0hLKMwBYxFfc2hwS6i3WoM54AxibQ4NqlMLW19QhlUIAGgSd3OoVWrb2NhofcFbsPVXpYlE3dqy3WCHB3gCc4iINjY2ulpC3RfrSzOqkivqpu02T4W6tlnRf9x3UXIDRDCnTW9LqKhbT74uZtNqZ/cNrAEtYM4bbhYKl+fm0BIKxgHmvAEfXQDGB+Z0gauvwZiEH9Y2HMyhVkvo40ol7IEA1rAIqwcTcwgfXQDGgEtYiZM5RPS4UsGnhIIRMAorK3Oo1RIKecBAGIWVmzkotYERMAorN3OIqNFo4FNCwUAYhZWhOUTk9RCgTg16YBRWzuZ0t4QCAHPGo7clFMQeRmHlbA7hU0JBN4zCytwcQkso6IBRWHma421yvL+jTg3aMAorf3Oo1RL62f37IQ4JcIBRWHma08/BwQFaQgGjsMpiDqElFMCcifFaQm3bDnsgIBwYhZWnOT37nE5Qp44zjMLK0xwiGmYOSm1xhlFY2ZozAq8l9GahEPZAQNAwCquM5hA+uiCuMAorW3OGrdba7O3toSU0bjAKK09zRlQIOvFaQlGnjg+MwsrTnPFBqS1WMAqr7OYQkXbnDlpCYwKjsEbAHNSp4wOjsPI0Z8x9Thu0hMYERmGNhjmEltB4wCisPM2ZDLSERh5GYY2SOYSW0KjDKKwRM4dQp440jMLK05wJ9jltvFLb+9euodQWPRiFlac5NEb3zQgajcb7166hJTR6MAorW3MuCFpCIwmjsEbVHGq1hFYNI+yBgKnBKKxszbnIaq0N6tQRg1FYeZpzkQpBDyi1RQlGYeVpznTxWkKPjo7CHgi4KIzCGgdz0BIaGRiFNQ7mENHR0RFaQiMAo7CyNWda+5w2Xkso6tRSwyisPM2ZYoWgE5TaZIdRWHma4x9Vw0BLqLwwCmvczCHUqWWGUVhjaA5aQuWFUVh5muPTPqcNWkIlhVFYeZpDPtTWekBLqIwwCitbcwIALaHSwSiscTaHUKeWDUZhjbk5RLT25ZqqJFFqkwJGYeVpjt8Vgh7QEioLjMLK0xzyv0LQCVpCZYFRWNmaEzBeS6h2507YAwGjYBRWmNMGdWr+MAorW3OCXK21QamNOYzCytOcgCsEnXgtoXt7e6E8OxgNo7DyNCdc0BLKFkZhhTkDQUsoTxiFFeYMpN0SCnlYwSisPM0JcZ/TBqU2hjAKK8wZgW3baAllBaOw8jSHD6hTs4JRWGHOmaAllA+MwgpzxuGz+/fREsoBRmHlaQ6TfU4btIQygVFYeZpDIXXfjAAtoRxgFFa25jAEderQYRRWmHMuvFLbxsZG2AOJKYzCytYcbqu1NmgJDRFGYeVpDrcKQQ9oCQ0LRmHlaQ5/bhYKl+fmUGoLGEZhhTmTgTp1KDAKK8yZGJTagodRWNmaw3mf08ZrCX1cqYQ9kLjAKKw8zWFeIegELaFBwiisPM2Ri8eVSiRbQh89evTzzz+/evUq7IG8gVFYYc5U8FpCIybP7du3E4lEIpG4cuXKo0ePOCjEKKwwZypEstTWNqeNp9Du7m5YQ2IUVp7mSLTPadNoNCJ24/h+c9pcunTp4cOHwSs0SViHvYZI4pkT9ijOzdt//NPbf/xT2KMICE+egJdwjN7mEyznHMCBgXNOWLONB6OwwhwwjE5zwhWmDaOwwhwwjNu3bzMRpg2jsMIcMAwOZegeGIUV5gCJYBRWFuY4ZjGV9OppnX8yS+UfTNsNe3TjI2x9oe9VNP+kSqYjwh6g9PgTVlG3nnxdzKbbsata9TN/VyzMISISjlnKKIvr9knz3/WdipZTlZm8/kIieYhObH2x1xP3xfrypzDn4kw/rKK+eTf77rz2rVU/JSIixzb1Yvbd+dLmaHvYmkNEJPbXc2nZ3q0HmUPC2fpxS6ZXwZRph9XdWcmmM8tGretXI1zrwbySni/vjHjPhjnTpt+cE/vJL7ZEr4Ax0w3ria0vqsps0Tzs+9ahqc2qqVvV2unQobA1R9Stb7T5CKzWxMvqR9/BnKkw1bCOemP2pEov6PvDfnHMzOkrEmimE/bIzon3M+9+ITk9Qua8rhsfqEpSVWYKxktBp/WdtXwqqb5Ttl77/txTDatXmBpsTjOOI/LHzJzOCoFVLd/IKMnMUmXflSh3fXOO+2K9FLk5R7ysLs+oKa26uVYMcFEAc/oZtM8ZY87kR0z2Oa1o9e6u/SXg1drALVBrKKzNOdt8fgysrUURxyymgn5TC7hCMOq3yNuc05pxKyP9nONxvGf+Jo//Y+AtdoLdwgVTlSZRMwopbxs3fChszRF1yyjnU0k1+4lZH1ob5Mcgc0T9+eqHd4fP/PIhauZHWvEfuYBn16mHVbi2Uew5E7r5IJ+aya9uS3AmdEj3jarkivqPljzaxKb75rRmaH83Xr629QVltmj+vv/NV0+Hn/mYIv6E1bXN78v5ZgTT89rXT2XqvgFS4G0NckVj36XmYkfNlqp2QOtQRmGFOUAiGIUV5gCJYBRWmAMkglFYYQ6QCIQVgEmAOQBMAswBYBJgDgCTAHMAmASYA8AkwBwAJgHmADAJMAeASYA5AEwCzAFgEmAOAJPwfynE/e47B7bdAAAAAElFTkSuQmCC" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the coordinates of point \({\text{E}}\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>\({\text{C}}\) is a point on the line </span><span><span>\({\text{DE}}\)</span>. </span><span><span>\({\text{B}}\)</span> is a point on the \(x\)-axis such that </span><span><span>\({\text{BC}}\)</span> is parallel to the \(y\)-axis. The \(x\)-coordinate of </span><span><span>\({\text{C}}\)</span> is \(t\).</span></p>
<p><span>Show that the \(y\)-coordinate of </span><span><span>\({\text{C}}\)</span> is \(4 - \frac{1}{2}t\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><span>\({\text{OBCD}}\) </span>is a trapezium. The \(y\)-coordinate of point </span><span><span>\({\text{D}}\)</span> is \(4\).<br></span></p>
<p><span>Show that the area of </span><span><span><span>\({\text{OBCD}}\) </span></span>is \(4t - \frac{1}{4}{t^2}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The area of </span><span><span><span>\({\text{OBCD}}\) </span></span>is \(9.75\) square units. Write down a quadratic equation that expresses this information.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>(i) Using your graphic display calculator, or otherwise, find the two solutions to the quadratic equation written in part (d).</span></p>
<p><span>(ii) Hence find the correct value for \(t\). Give a reason for your answer.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{E}}(8{\text{, }}0)\) <em><strong>(A1)(A1)</strong></em></span></p>
<p><span><strong>Notes: </strong>Brackets required but do not penalize again if mark lost in <strong>Q4</strong> (i)(d). If missing award <em><strong>(A1)(A0)</strong></em>.</span><br><span>Accept \(x = 8\), \(y = 0\)</span><br><span>Award <em><strong>(A1)</strong></em> for \(x = 8\)</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(y + \frac{1}{2}t = 4\) <em><strong>(M1)(M1)<br><br></strong></em></span></p>
<p><span><strong>Note: <em>(M1)</em></strong> for the equation of the line seen. <em><strong>(M1)</strong></em> for substituting \(t\).</span></p>
<p><br><span>\(y = 4 - \frac{1}{2}t\) <em><strong>(AG)</strong></em></span></p>
<p><span><strong>Note: </strong>Final line must be seen or previous <em><strong>(M1)</strong></em> mark is lost.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{Area}} = \frac{1}{2} \times (4 + 4 - \frac{1}{2}t) \times t\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong><br>Note: <em>(M1)</em></strong> for substituting in correct formula, <em><strong>(A1)</strong></em> for correct substitution.</span></p>
<p><br><span>\( = \frac{1}{2} \times (8 - \frac{1}{2}t) \times t = \frac{1}{2}(8t - \frac{1}{2}{t^2})\) <em><strong>(A1)</strong></em></span><br><span>\( = 4t - \frac{1}{4}{t^2}\) <em><strong>(AG)</strong></em></span></p>
<p><span><strong>Note: </strong>Final line must be seen or previous <em><strong>(A1)</strong></em> mark is lost.</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><span>\(4t - \frac{1}{4}{t^2} = 9.75\) or any equivalent form. </span> <span><em><strong>(A1)</strong></em></span></span></p>
<p><span><span><em><strong>[1 mark]<br></strong></em></span></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(t = 3\) or \(t =13\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)<br></strong></em><br></span></p>
<p><span><strong>Note: </strong>Follow through from candidate’s equation to part (d). Award <strong><em>(A0)(A1)</em>(ft)</strong> for \((3{\text{, }}0)\) and \((13{\text{, }}0)\).</span></p>
<p><br><span>(ii) \(t\) must be a value between \(0\) and \(8\) then \(t = 3\)</span></p>
<p><span><strong>Note: </strong>Accept \({\text{B}}\) is between \({\text{O}}\) and \({\text{E}}\). Do not award <em><strong>(R0)(A1)</strong></em>.</span></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">A number of candidates did not attempt this question worth 12 marks but the majority answered this question partially and were able to gain some marks. Parts (a) and (b) were mostly well done. Very few candidates managed to answer part (c) well; this part of the question required good algebra along with a clear understanding of the situation given in the diagram. Many recovered then in (d) when they were asked to write down the quadratic equation. Solving the equation was not always found to be easy. Use of the GDC was expected but many used the formula. The correct solution, \(t = 3\), was chosen in the last part of the question. However, their justification was often false causing them to lose both the reasoning and the answer mark.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">A number of candidates did not attempt this question worth 12 marks but the majority answered this question partially and were able to gain some marks. Parts (a) and (b) were mostly well done. Very few candidates managed to answer part (c) well; this part of the question required good algebra along with a clear understanding of the situation given in the diagram. Many recovered then in (d) when they were asked to write down the quadratic equation. Solving the equation was not always found to be easy. Use of the GDC was expected but many used the formula. The correct solution, \(t = 3\), was chosen in the last part of the question. However, their justification was often false causing them to lose both the reasoning and the answer mark.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">A number of candidates did not attempt this question worth 12 marks but the majority answered this question partially and were able to gain some marks. Parts (a) and (b) were mostly well done. Very few candidates managed to answer part (c) well; this part of the question required good algebra along with a clear understanding of the situation given in the diagram. Many recovered then in (d) when they were asked to write down the quadratic equation. Solving the equation was not always found to be easy. Use of the GDC was expected but many used the formula. The correct solution, \(t = 3\), was chosen in the last part of the question. However, their justification was often false causing them to lose both the reasoning and the answer mark.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">A number of candidates did not attempt this question worth 12 marks but the majority answered this question partially and were able to gain some marks. Parts (a) and (b) were mostly well done. Very few candidates managed to answer part (c) well; this part of the question required good algebra along with a clear understanding of the situation given in the diagram. Many recovered then in (d) when they were asked to write down the quadratic equation. Solving the equation was not always found to be easy. Use of the GDC was expected but many used the formula. The correct solution, \(t = 3\), was chosen in the last part of the question. However, their justification was often false causing them to lose both the reasoning and the answer mark.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">A number of candidates did not attempt this question worth 12 marks but the majority answered this question partially and were able to gain some marks. Parts (a) and (b) were mostly well done. Very few candidates managed to answer part (c) well; this part of the question required good algebra along with a clear understanding of the situation given in the diagram. Many recovered then in (d) when they were asked to write down the quadratic equation. Solving the equation was not always found to be easy. Use of the GDC was expected but many used the formula. The correct solution, \(t = 3\), was chosen in the last part of the question. However, their justification was often false causing them to lose both the reasoning and the answer mark.</span></p>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">A surveyor has to calculate the area of a triangular piece of land, DCE.</p>
<p class="p1">The lengths of CE and DE cannot be directly measured because they go through a swamp.</p>
<p class="p1">AB, DE, BD and AE are straight paths. Paths AE and DB intersect at point C.</p>
<p class="p1">The length of AB is 15 km, BC is 10 km, AC is 12 km, and DC is 9 km.</p>
<p class="p1">The following diagram shows the surveyor’s information.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-04_om_11.57.28.png" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Find the size of angle \({\rm{ACB}}\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Show that the size of angle \({\rm{DCE}}\) is \(85.5^\circ\), correct to one decimal place.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The surveyor measures the size of angle \({\text{CDE}}\) to be twice that of angle \({\text{DEC}}\).</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>Using angle \({\text{DCE}} = 85.5^\circ \), <span class="s1">find </span>the size of angle \({\text{DEC}}\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Find the length of \({\text{DE}}\).</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the area of triangle \({\text{DEC}}\).</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) \(\cos {\rm{A\hat CB}} = \frac{{{{10}^2} + {{12}^2} - {{15}^2}}}{{2 \times 10 \times 12}}\) <strong><em>(M1)(A1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substituted cosine rule,</p>
<p><strong><em>(A1) </em></strong>for correct substitution.</p>
<p> </p>
<p>\({\rm{A\hat CB}} = 85.5^\circ \;\;\;({\text{85.4593}} \ldots {\text{)}}\) <strong><em>(A1)(G2)</em></strong></p>
<p> </p>
<p>(ii) \({\rm{D\hat CE}} = {\rm{A\hat CB}}\;\;\;{\text{and}}\;\;\;{\rm{A\hat CB}} = 85.5^\circ \;\;\;({\text{85.4593}} \ldots ^\circ {\text{)}}\) <strong><em>(A1)</em></strong></p>
<p> </p>
<p><strong>OR</strong></p>
<p>\({\rm{B\hat CE}} = 180^\circ - 85.5^\circ = 94.5^\circ \;\;\;{\text{and}}\;\;\;{\rm{D\hat CE}} = 180^\circ - 94.5^\circ = 85.5^\circ \) <strong><em>(A1)</em></strong></p>
<p><strong>Notes: </strong>Both reasons must be seen for the <strong><em>(A1) </em></strong>to be awarded.</p>
<p> </p>
<p>\({\rm{D\hat CE}} = 85.5^\circ \) <strong><em>(AG)</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \({\rm{D\hat EC}} = \frac{{180^\circ - 85.5^\circ }}{3}\) <strong><em>(M1)</em></strong></p>
<p>\({\rm{D\hat EC}} = 31.5^\circ \) <strong><em>(A1)(G2)</em></strong></p>
<p> </p>
<p>(ii) \(\frac{{\sin (31.5^\circ )}}{9} = \frac{{\sin (85.5^\circ )}}{{{\text{DE}}}}\) <strong><em>(M1)(A1)</em>(ft)</strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substituted sine rule, <strong><em>(A1) </em></strong>for correct substitution.</p>
<p> </p>
<p>\({\text{DE}} = 17.2{\text{ (km)}}(17.1718 \ldots )\). <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(0.5 \times 17.1718 \ldots \times 9 \times \sin (63^\circ )\) <strong><em>(A1)</em>(ft)<em>(M1)(A1)</em>(ft)</strong></p>
<p><strong>Note: </strong>Award <strong><em>(A1)</em>(ft) </strong>for \(63\) seen, <strong><em>(M1) </em></strong>for substituted triangle area formula, <strong><em>(A1)</em>(ft) </strong>for \(0.5 \times 17.1718 \ldots \times 9 \times \sin ({\text{their angle CDE}})\).</p>
<p> </p>
<p><strong>OR</strong></p>
<p>\({\text{(triangle height}} = ){\text{ }}9 \times \sin (63^\circ )\) <strong><em>(A1)</em>(ft)<em>(A1)</em>(ft)</strong></p>
<p>\({\text{0.5}} \times {\text{17.1718}} \ldots \times {\text{9}} \times {\text{sin(their angle CDE)}}\) <strong><em>(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(A1)</em>(ft) </strong>for \(63\) seen, <strong><em>(A1)</em>(ft) </strong>for correct triangle height with their angle \({\text{CDE}}\), <strong><em>(M1) </em></strong>for \({\text{0.5}} \times {\text{17.1718}} \ldots \times {\text{9}} \times {\text{sin(their angle CDE)}}\).</p>
<p> </p>
<p>\( = 68.9{\text{ k}}{{\text{m}}^2}\;\;\;(68.8509 \ldots )\) <strong><em>(A1)</em>(ft)<em>(G3)</em></strong></p>
<p><strong>Notes: </strong>Units are required for the last <strong><em>(A1)</em>(ft) </strong>mark to be awarded.</p>
<p>Follow through from parts (b)(i) and (b)(ii).</p>
<p>Follow through from their angle \({\text{CDE}}\) <strong>within this part of the question</strong>.</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">The following table shows the number of bicycles, \(x\), produced daily by a factory and their total production cost, \(y\)<span class="s1">, in US dollars (USD)</span>. The table shows data recorded over seven days.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-22_om_10.06.31.png" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Write down the Pearson’s product–moment correlation coefficient, \(r\), for these data.</p>
<p class="p1">(ii) Hence comment on the result.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down the equation of the regression line \(y\) on \(x\) for these data, in the form \(y = ax + b\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Estimate the total cost, <strong>to the nearest </strong><span class="s1"><strong>USD</strong></span>, of producing \(13\)<span class="s1"> </span>bicycles on a particular day.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">All the bicycles that are produced are sold. The bicycles are sold for <span class="s1">304 USD </span><strong>each</strong>.</p>
<p class="p1">Explain why the factory does <strong>not </strong>make a profit when producing \(13\)<span class="s1"> </span>bicycles on a particular day.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">All the bicycles that are produced are sold. The bicycles are sold for <span class="s1">304 USD </span><strong>each</strong>.</p>
<p class="p1">(i) Write down an expression for the total selling price of \(x\) bicycles.</p>
<p class="p1">(ii) Write down an expression for the <strong>profit </strong>the factory makes when producing \(x\) bicycles on a particular day.</p>
<p class="p1">(iii) Find the least number of bicycles that the factory should produce, on a particular day, in order to make a profit.</p>
<div class="marks">[5]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\(r = 0.985\;\;\;(0.984905 \ldots )\) <span class="Apple-converted-space"> </span><strong><em>(G2)</em></strong></p>
<p class="p1"><strong>Notes: </strong>If unrounded answer is not seen, award <strong><em>(G1)(G0) </em></strong>for \(0.99\)<span class="s1"> </span>or \(0.984\). Award <strong><em>(G2) </em></strong>for \(0.98\).</p>
<p class="p2"> </p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>strong, positive <span class="Apple-converted-space"> </span><strong><em>(A1)(A1)</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(y = 259.909 \ldots x + 698.648 \ldots \;\;\;(y = 260x + 699)\) <span class="Apple-converted-space"> </span><strong><em>(G1)(G1)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(G1) </em></strong>for \(260x\) and <strong><em>(G1) </em></strong>for \(699\). If the answer is not an equation award a maximum of <strong><em>(G1)(G0)</em></strong>.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(y = 259.909 \ldots \times 13 + 698.648 \ldots \) <strong><em>(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution of \(13\) into their regression line equation from part (b).</p>
<p> </p>
<p>\(y = 4077.47 \ldots \) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p>\(y = 4077{\text{ (USD)}}\) <strong><em>(A1)</em>(ft)</strong></p>
<p><strong>Notes: </strong>Follow through from their answer to part (b). If rounded values from part (b) used, answer is \(4079\). Award the final <strong><em>(A1)</em>(ft) </strong>for a correct rounding to the nearest USD of their answer. The unrounded answer may not be seen.</p>
<p>If answer is \(4077\) and no working is seen, award <strong><em>(G2)</em></strong>.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(13 \times 304 - (4077.47) = - 125.477 \ldots \;\;\;( - 125)\;\;\;\)<strong>OR</strong></p>
<p>\(4077.47 - (13 \times 304) = 125.477 \ldots \;\;\;(125)\) <strong><em>(M1)</em></strong></p>
<p><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for calculating the difference between \(13 \times 304\) and their answer to part (c).</p>
<p>If rounded values are used in equation, answer is \( - 127\).</p>
<p> </p>
<p>profit is negative\(\;\;\;\)<strong>OR</strong>\(\;\;\;{\text{cost}} > {\text{sales}}\) <strong><em>(A1)</em></strong></p>
<p> </p>
<p><strong>OR</strong></p>
<p>\(13 \times 304 = 3952\) <strong><em>(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for calculating the price of \(13\) bikes.</p>
<p> </p>
<p>\(3952 < 4077.47\) <strong><em>(A1)</em>(ft)</strong></p>
<p><strong>Note: </strong>Award <strong><em>(A1) </em></strong>for showing \(3952\) is less than their part (c). This may be communicated in words. Follow through from part (c), but only if value is greater than \(3952\).</p>
<p> </p>
<p><strong>OR</strong></p>
<p>\(\frac{{4077}}{{13}} = 313.62\) <strong><em>(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for calculating the cost of \(1\) bicycle.</p>
<p> </p>
<p>\(313.62 > 304\) <strong><em>(A1)</em>(ft)</strong></p>
<p><strong>Note: </strong>Award <strong><em>(A1) </em></strong>for showing \(313.62\) is greater than \(304\). This may be communicated in words. Follow through from part (c), but only if value is greater than \(304\).</p>
<p> </p>
<p><strong>OR</strong></p>
<p>\(\frac{{4077}}{{304}} = 13.41\) <strong><em>(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for calculating the number of bicycles that should have been be sold to cover total cost.</p>
<p> </p>
<p>\(13.41 > 13\) <strong><em>(A1)</em>(ft)</strong></p>
<p><strong>Note: </strong>Award <strong><em>(A1) </em></strong>for showing \(13.41\) is greater than \(13\). This may be communicated in words. Follow through from part (c), but only if value is greater than \(13\).</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\(304x\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<p class="p1"> </p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\(304x - (259.909 \ldots x + 698.648 \ldots )\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(A1)</em>(ft)</strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(A1)</em>(ft) </strong>for difference between their answers to parts (b) and (e)(i), <strong><em>(A1)</em>(ft) </strong>for correct expression.</p>
<p class="p2"> </p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>\(304x - (259.909 \ldots x + 698.648 \ldots ) > 0\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for comparing their expression in part (e)(ii) to \(0\). Accept an equation. Accept \(3040x - y > 0\) or equivalent.</p>
<p class="p2"> </p>
<p class="p1">\(x = 16{\text{ bicycles}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Notes:<span class="Apple-converted-space"> </span></strong>Follow through from their answer to part (b). Answer must be a positive integer greater than \(13\)<span class="s1"> </span>for the <strong><em>(A1)</em>(ft) </strong>to be awarded.</p>
<p class="p1">Award <strong><em>(G1) </em></strong>for an answer of \(15.84\).</p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;"><strong>Give all answers in this question correct to two decimal places.</strong></span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">Arthur lives in London. On \({1^{{\text{st}}}}\) August 2008 Arthur paid \({\text{37}}\,{\text{500}}\) euros (\({\text{EUR}}\)) for a new car from Germany. The price of the same car in London was \({\text{34}}\,{\text{075}}\) British pounds (\({\text{GBP}}\)).</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">The exchange rate on \({1^{{\text{st}}}}\) August 2008 was \({\text{1}}\,{\text{EUR = 0.7234}}\,{\text{GBP}}\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate, <strong>in GBP</strong>, the price that Arthur paid for the car.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down, in \({\text{GBP}}\), the amount of money Arthur saved by buying the car in Germany.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Between \({1^{{\text{st}}}}\) August 2008 and \({1^{{\text{st}}}}\) August 2012 Arthur’s car depreciated at an annual rate of \(9\%\) of its current value.</span></p>
<p><span>Calculate the value, in \({\text{GBP}}\), of Arthur’s car on \({1^{{\text{st}}}}\) August <strong>2009</strong>.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Between \({1^{{\text{st}}}}\) August 2008 and \({1^{{\text{st}}}}\) August 2012 Arthur’s car depreciated at an annual rate of \(9\%\) of its current value.</span></p>
<p><span>Show that the value of Arthur’s car on \({1^{{\text{st}}}}\) August <strong>2012 </strong>was \({\text{18}}\,{\text{600}}\,{\text{GBP}}\), correct to the nearest \({\text{100}}\,{\text{GBP}}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><strong><em>The first answer not given to two decimal places is not awarded the final (A1). Incorrect rounding is not penalized thereafter. </em></strong></span></p>
<p><span>\(37\,500 \times 0.7234\) <strong><em>(M1)</em></strong></span></p>
<p><span>\( = 27\,127.50\) <strong><em>(A1)(G2)</em></strong></span></p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong><em>The first answer not given to two decimal places is not awarded the final (A1). Incorrect rounding is not penalized thereafter. </em></strong></span></p>
<p><span>\(6947.50\) <strong><em>(A1)</em>(ft)<em>(G1)</em></strong></span></p>
<p><span> </span></p>
<p><span><strong>Note: </strong>Follow through from part (a) irrespective of whether working is seen.</span></p>
<p><span> </span></p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong><em>The first answer not given to two decimal places is not awarded the final (A1). Incorrect rounding is not penalized thereafter.</em></strong></span></p>
<p><span>\(27\,127.50 \times 0.91\) <strong><em>(A1)(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(A1) </em></strong>for \(0.91\) seen or equivalent, <strong><em>(M1) </em></strong>for their \({\text{27}}\,{\text{127.50}}\) multiplied by \(0.91\)</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p><span>\(27\,127.50 - 0.09 \times 27\,127.50\) <strong><em>(A1)(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(A1) </em></strong>for \(0.09 \times 27\,127.50\) seen, and <strong><em>(M1) </em></strong>for \(27\,127.50 - 0.09 \times 27\,127.50\).</span></p>
<p> </p>
<p><span>\( = 24\,686.03\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Follow through from part (a).</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong><em>The first answer not given to two decimal places is not awarded the final (A1). Incorrect rounding is not penalized thereafter.</em></strong></span></p>
<p><span>\(27\,127.50 \times {\left( {1 - \frac{9}{{100}}} \right)^4}\) <strong><em>(M1)(A1)</em>(ft)</strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for substituted compound interest formula, <strong><em>(A1)</em>(ft) </strong>for correct substitution.</span></p>
<p><span> Follow through from part (a).</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p><span>\(27\,127.50 \times {(0.91)^4}\) <strong><em>(M1)(A1)</em>(ft)</strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for substituted geometric sequence formula, <strong><em>(A1)</em>(ft) </strong>for correct substitution.</span></p>
<p><span> Follow through from part (a).</span></p>
<p> </p>
<p><span><strong>OR </strong>(lists (i))</span></p>
<p><span>\({\text{24}}\,{\text{686.03, 22}}\,{\text{464.28..., 20}}\,{\text{442.50..., 18}}\,{\text{602.67...}}\) <strong><em>(M1)(A1)</em>(ft)</strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for at least the \({{\text{2}}^{{\text{nd}}}}\) term correct (calculated from their \(({\text{a}}) \times 0.91\)). Award <strong><em>(A1)</em>(ft) </strong>for four correct terms (rounded or unrounded).</span></p>
<p><span> Follow through from part (a).</span></p>
<p><span> Accept list containing the last three terms only (\({\text{24}}\,{\text{686.03}}\) may be implied).</span></p>
<p> </p>
<p><span><strong>OR </strong>(lists(ii))</span></p>
<p><span>\(27\,127.50 - (2441.47... + 2221.74... + 2021.79... + 1839.82…)\) <strong><em>(M1)(A1)(</em>ft)</strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for subtraction of four terms from \({\text{27}}\,{\text{127.50}}\).</span></p>
<p><span> Award <strong><em>(A1) </em></strong>for four correct terms (rounded or unrounded).</span></p>
<p><span> Follow through from part (a).</span></p>
<p> </p>
<p><span>\( = 18\,602.67\) <strong><em>(A1) </em></strong></span></p>
<p><span>\( = 18\,600\) <strong><em>(AG)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>The final <strong><em>(A1) </em></strong>is not awarded unless both the unrounded and rounded answers are seen.</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">Despite the fact that “Give all answers in this question correct to two decimal places” was written in bold at the top of the question, many candidates lost one (and only one) mark for giving at least one answer to only a single decimal place. There was a lot of reading in this question and some candidates seemed to lose their way as their solution developed and, as a consequence, lost marks in the latter part of the question. A significant number of candidates obtained nearly full marks for parts (a) through to (d). The marks which tended to not be awarded were not giving the required answer to two decimal places and not adding the amount invested onto the interest earned in part (c). Indeed, many candidates were able to correctly determine the depreciated value of the car on \({1^{{\text{st}}}}\) August 2009 by simply finding 91% of the original price. However, part (e) proved to be elusive for many candidates as some simply treated the problem as a ‘reverse simple interest problem’ and subtracted 9% for each of a further 3 years. As a consequence, erroneous answers of the form 17,361.60, from \(\left( {27127.50 \times (1 - 0.09 \times 4)} \right)\), were often conveniently ignored and rounded to the required answer of 18,600 GBP. Such a method earned no marks at all. There was a lot of information given in the stem to the last part of the question and, as a consequence, many candidates were unable to achieve full marks here. There was certainly a great deal of confusion as to what to divide by 0.8694 (seeing \(\frac{{18\,600 + 8198.05 - 30\,500}}{{0.86944}} = - 4258.05\) was not uncommon) and even introducing the original exchange rate of 0.7234 caused confusion. As a further example, an incorrect value carried forward from part (c) (1,250.55) led to a negative result. Provided the method was correct (despite an incorrect value carried forward), the three method marks were awarded. However, the negative result of –7,667.53 should have flagged to the candidate that something was wrong somewhere and this could only be in the current part of the question or part (c).</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">Despite the fact that “Give all answers in this question correct to two decimal places” was written in bold at the top of the question, many candidates lost one (and only one) mark for giving at least one answer to only a single decimal place. There was a lot of reading in this question and some candidates seemed to lose their way as their solution developed and, as a consequence, lost marks in the latter part of the question. A significant number of candidates obtained nearly full marks for parts (a) through to (d). The marks which tended to not be awarded were not giving the required answer to two decimal places and not adding the amount invested onto the interest earned in part (c). Indeed, many candidates were able to correctly determine the depreciated value of the car on \({1^{{\text{st}}}}\) August 2009 by simply finding 91% of the original price. However, part (e) proved to be elusive for many candidates as some simply treated the problem as a ‘reverse simple interest problem’ and subtracted 9% for each of a further 3 years. As a consequence, erroneous answers of the form 17,361.60, from \(\left( {27127.50 \times (1 - 0.09 \times 4)} \right)\), were often conveniently ignored and rounded to the required answer of 18,600 GBP. Such a method earned no marks at all. There was a lot of information given in the stem to the last part of the question and, as a consequence, many candidates were unable to achieve full marks here. There was certainly a great deal of confusion as to what to divide by 0.8694 (seeing \(\frac{{18\,600 + 8198.05 - 30\,500}}{{0.86944}} = - 4258.05\) was not uncommon) and even introducing the original exchange rate of 0.7234 caused confusion. As a further example, an incorrect value carried forward from part (c) (1,250.55) led to a negative result. Provided the method was correct (despite an incorrect value carried forward), the three method marks were awarded. However, the negative result of –7,667.53 should have flagged to the candidate that something was wrong somewhere and this could only be in the current part of the question or part (c).</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">Despite the fact that “Give all answers in this question correct to two decimal places” was written in bold at the top of the question, many candidates lost one (and only one) mark for giving at least one answer to only a single decimal place. There was a lot of reading in this question and some candidates seemed to lose their way as their solution developed and, as a consequence, lost marks in the latter part of the question. A significant number of candidates obtained nearly full marks for parts (a) through to (d). The marks which tended to not be awarded were not giving the required answer to two decimal places and not adding the amount invested onto the interest earned in part (c). Indeed, many candidates were able to correctly determine the depreciated value of the car on \({1^{{\text{st}}}}\) August 2009 by simply finding 91% of the original price. However, part (e) proved to be elusive for many candidates as some simply treated the problem as a ‘reverse simple interest problem’ and subtracted 9% for each of a further 3 years. As a consequence, erroneous answers of the form 17,361.60, from \(\left( {27127.50 \times (1 - 0.09 \times 4)} \right)\), were often conveniently ignored and rounded to the required answer of 18,600 GBP. Such a method earned no marks at all. There was a lot of information given in the stem to the last part of the question and, as a consequence, many candidates were unable to achieve full marks here. There was certainly a great deal of confusion as to what to divide by 0.8694 (seeing \(\frac{{18\,600 + 8198.05 - 30\,500}}{{0.86944}} = - 4258.05\) was not uncommon) and even introducing the original exchange rate of 0.7234 caused confusion. As a further example, an incorrect value carried forward from part (c) (1,250.55) led to a negative result. Provided the method was correct (despite an incorrect value carried forward), the three method marks were awarded. However, the negative result of –7,667.53 should have flagged to the candidate that something was wrong somewhere and this could only be in the current part of the question or part (c).</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">Despite the fact that “Give all answers in this question correct to two decimal places” was written in bold at the top of the question, many candidates lost one (and only one) mark for giving at least one answer to only a single decimal place. There was a lot of reading in this question and some candidates seemed to lose their way as their solution developed and, as a consequence, lost marks in the latter part of the question. A significant number of candidates obtained nearly full marks for parts (a) through to (d). The marks which tended to not be awarded were not giving the required answer to two decimal places and not adding the amount invested onto the interest earned in part (c). Indeed, many candidates were able to correctly determine the depreciated value of the car on \({1^{{\text{st}}}}\) August 2009 by simply finding 91% of the original price. However, part (e) proved to be elusive for many candidates as some simply treated the problem as a ‘reverse simple interest problem’ and subtracted 9% for each of a further 3 years. As a consequence, erroneous answers of the form 17,361.60, from \(\left( {27127.50 \times (1 - 0.09 \times 4)} \right)\), were often conveniently ignored and rounded to the required answer of 18,600 GBP. Such a method earned no marks at all. There was a lot of information given in the stem to the last part of the question and, as a consequence, many candidates were unable to achieve full marks here. There was certainly a great deal of confusion as to what to divide by 0.8694 (seeing \(\frac{{18\,600 + 8198.05 - 30\,500}}{{0.86944}} = - 4258.05\) was not uncommon) and even introducing the original exchange rate of 0.7234 caused confusion. As a further example, an incorrect value carried forward from part (c) (1,250.55) led to a negative result. Provided the method was correct (despite an incorrect value carried forward), the three method marks were awarded. However, the negative result of –7,667.53 should have flagged to the candidate that something was wrong somewhere and this could only be in the current part of the question or part (c).</span></p>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Consider the functions \(f(x) = \frac{{2x + 3}}{{x + 4}}\) and \(g(x) = x + 0.5\) .</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Sketch the graph of the function \(f(x)\), for \( - 10 \leqslant x \leqslant 10\) . Indicating clearly the axis intercepts and any asymptotes.</span></p>
<div class="marks">[6]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the equation of the vertical asymptote.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>On the same diagram as part (a) sketch the graph of \(g(x) = x + 0.5\) .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Using your graphical display calculator write down the coordinates of <strong>one</strong> of the points of intersection on the graphs of \(f\) and \(g\), <strong>giving your answer correct to five decimal places</strong>.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the gradient of the line \(g(x) = x + 0.5\) .</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The line \(L\) passes through the point with coordinates \(( - 2{\text{, }} - 3)\) and is perpendicular to the line \(g(x)\) . Find the equation of \(L\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><img src="data:image/png;base64,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" alt><span> <em><strong>(A6)</strong></em></span></span></p>
<p><span><strong>Notes:</strong> <em><strong>(A1)</strong></em> for labels and some idea of scale.</span><br><span><em><strong>(A1)</strong></em> for \(x\)-intercept seen, <em><strong>(A1)</strong></em> for \(y\)-intercept seen in roughly the correct places (coordinates not required).</span><br><span><em><strong>(A1)</strong></em> for vertical asymptote seen, <em><strong>(A1)</strong></em> for horizontal asymptote seen in roughly the correct places (equations of the lines not required).</span><br><span><em><strong>(A1)</strong></em> for correct general shape.</span></p>
<p><span><em><strong>[6 marks]</strong></em><br></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(x = - 4\) <em><strong>(A1)(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong>Note: <em>(A1)</em></strong> for \(x =\), <strong><em>(A1)</em>(ft)</strong> for \( - 4\).</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><img src="data:image/png;base64,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" alt><span> <em><strong>(A1)(A1)</strong></em></span></span></p>
<p><span><span><strong>Note:</strong> <em><strong>(A1)</strong></em> for correct axis intercepts, <em><strong>(A1)</strong></em> for straight line</span><br></span></p>
<p><span><span><em><strong>[2 marks]</strong></em><br></span></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(( - 2.85078{\text{, }} - 2.35078)\) OR \((0.35078{\text{, }}0.85078)\) <em><strong>(G1)(G1)(A1)</strong></em><strong>(ft)</strong><br></span></p>
<p><br><span><strong>Notes: <em>(A1)</em></strong> for \(x\)-coordinate, <em><strong>(A1)</strong></em> for \(y\)-coordinate, <strong><em>(A1)</em>(ft)</strong> for correct accuracy. Brackets required. If brackets not used award <strong><em>(G1)(G0)(A1)</em>(ft)</strong>.<br>Accept \(x = - 2.85078\), \(y = - 2.35078\) or \(x = 0.35078\), \(y = 0.85078\).</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{gradient}} = 1\) <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{gradient of perpendicular}} = - 1\) <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><em>(can be implied in the next step)</em></span></p>
<p><span>\(y = mx + c\)</span></p>
<p><span>\( - 3 = - 1 \times - 2 + c\) <em><strong>(M1)</strong></em></span></p>
<p><span>\(c = - 5\)</span></p>
<p><span>\(y = - x - 5\) <em><strong>(A1)</strong></em><strong>(ft)<em>(G2)</em></strong></span></p>
<p><span><strong>OR</strong></span></p>
<p><span>\(y + 3 = - (x + 2)\) <em><strong>(M1)</strong></em><em><strong>(A1)</strong></em><strong>(ft)<em>(G2)</em></strong></span></p>
<p><br><span><strong>Note: </strong>Award <em><strong>(G2)</strong></em> for correct answer with no working at all but <em><strong>(A1)(G1)</strong></em> if the gradient is mentioned as \( - 1\) then correct answer with no further working.</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This was not very well done. The graph was often correct but was so small that it was difficult to check if axes intercepts were correct or not. Often the vertical asymptote looked as if it were joined to the rest of the graph. Very few of the candidates put a scale and/or labels on their axes.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Reasonably well done. Some put \(y = - 4\) while others omitted the minus sign.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Fairly well done – but once again too small to check the axes intercepts properly. Also, many candidates did not appear to have a ruler to draw the straight line.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Well done.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most could find the gradient of the line.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Many forgot to find the gradient of the perpendicular line. Others had problems with the equation of a line in general.</span></p>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">The table shows the distance, in km, of eight regional railway stations from a city centre terminus and the price, in \($\), of a return ticket from each regional station to the terminus.</span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; text-align: center; margin: 0px;"><br><span style="font-family: 'times new roman', times; font-size: medium;"><img src="images/Schermafbeelding_2014-09-03_om_09.54.14.png" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Draw a scatter diagram for the above data. Use a scale of \(1\) cm to represent \(10\) km on the \(x\)-axis and \(1\) cm to represent \(\$10\) on the \(y\)-axis.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your graphic display calculator to find</span></p>
<p><span>(i) \(\bar x\), the mean of the distances;</span></p>
<p><span>(ii) \(\bar y\), the mean of the prices.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Plot and label the point \({\text{M }}(\bar x,{\text{ }}\bar y)\) on your scatter diagram.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your graphic display calculator to find</span></p>
<p><span>(i) the product–moment correlation coefficient, \(r\,;\)</span></p>
<p><span>(ii) the equation of the regression line \(y\) on \(x\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Draw the regression line \(y\) on \(x\) on your scatter diagram.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>A ninth regional station is \(76\) km from the city centre terminus.</span></p>
<p><span><span><span>Use the equation of the regression line to estimate the price of a return ticket to the city centre terminus from this regional station. </span></span><span><span><strong>Give your answer correct to the nearest </strong></span><span><span>\({\mathbf{\$ }}\).</span></span></span></span></p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Give a reason why it is valid to use your regression line to estimate the price of this return ticket.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The actual price of the return ticket is \(\$80\).</span></p>
<p><span><strong>Using your answer to part (f)</strong>, calculate the percentage error in the estimated price of the ticket.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><span><img src="images/Schermafbeelding_2014-09-03_om_11.22.50.png" alt> <strong><em>(A4)</em></strong></span></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(A1) </em></strong>for correct scale and labels (accept \(x\) and \(y\)).</span></p>
<p><span> Award <strong><em>(A3) </em></strong>for \(7\) or \(8\) points plotted correctly.</span></p>
<p><span> Award <strong><em>(A2) </em></strong>for \(5\) or \(6\) points plotted correctly.</span></p>
<p><span> Award <strong><em>(A1) </em></strong>for \(3\) or \(4\) points plotted correctly.</span></p>
<p><span> Award at most <strong><em>(A1)(A2) </em></strong>if points are joined up.</span></p>
<p><span> If axes are reversed, award at most <strong><em>(A0)(A3)</em></strong><em>.</em></span></p>
<p><span><em> </em>If graph paper is not used, award at most <strong><em>(A1)(A0)</em></strong>.</span></p>
<p> </p>
<p><span><strong><em>[4 marks]</em></strong></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \((\bar x = ){\text{ 46}}\) <strong><em>(G1)</em></strong></span></p>
<p><span>(ii) \((\bar y = ){\text{ 57}}\) <strong><em>(G1)</em></strong></span></p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{M}} (46, 57)\) plotted and labelled on the scatter diagram <strong><em>(A1)</em>(ft)</strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Follow through from their part (b).</span></p>
<p><span> Accept \((\bar x,{\text{ }}\bar y)\) as the label.</span></p>
<p> </p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(0.986\) \((0.986322...)\) <strong><em>(G1)</em></strong></span></p>
<p><span>(ii) \(y = 1.01x + 10.3\) \((y = 1.01431 \ldots x + 10.3412 \ldots )\) <strong><em>(G1)(G1)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(G1) </em></strong>for \(1.01x\), <strong><em>(G1) </em></strong>for \(10.3\).</span></p>
<p><span> Award <strong><em>(G1)(G0) </em></strong>if not written in the form of an equation.</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p><span>\((y - 57) = 1.01(x - 46)\) \(\left( {y - 57 = 1.01431...(x - 46)} \right)\) <strong><em>(G1)(G1)</em>(ft)</strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(G1) </em></strong>for \(1.01\), <strong><em>(G1) </em></strong>for their \(57\) and \(46\).</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>straight line drawn on the scatter diagram <strong><em>(A1)</em>(ft)<em>(A1)</em>(ft)</strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>The line must be straight for either of the two marks to be awarded.</span></p>
<p><span> Award <strong><em>(A1)</em>(ft) </strong>passing through their \({\text{M}}\) plotted in (c).</span></p>
<p><span> Award <strong><em>(A1)</em>(ft) </strong>for correct \(y\)-intercept (between \(9\) and \(12\)).</span></p>
<p><span> Follow through from their \(y\)-intercept found in part (d).</span></p>
<p><span> If part (d) is used, award <strong><em>(A1)</em>(ft) </strong>for their intercept \(( \pm 1)\).</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(y = 1.01431... \times 76 + 10.3412…\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution of \(76\) into their regression line.</span></p>
<p> </p>
<p><span>\( = 87.4295…\) <strong><em>(A1)</em>(ft)</strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Follow through from part (d). If 3 sf values are used the value is \(87.06\).</span></p>
<p> </p>
<p><span>\(\$87\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>The final <strong><em>(A1) </em></strong>is awarded for their answer given correct to the nearest dollar.</span></p>
<p><span> Method, followed by the answer of \(87\) earns <strong><em>(M1)(G2)</em></strong><em>. </em>It is not necessary to see the interim step.</span></p>
<p><span> Where the candidate uses their graph instead of the equation, and arrives at an answer other than \(87\), award, at most, <strong><em>(G1)</em>(ft)</strong>.</span></p>
<p><span> If the candidate uses their graph and arrives at the required answer of \(87\), award <strong><em>(G2)</em>(ft)</strong>.</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(76\) is within the range of distances given in the data <strong>OR </strong>the correlation coefficient is close to \(1\). <strong><em>(R1)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(R1) </em></strong>if <strong>either </strong>condition is given.</span></p>
<p><span> Sufficient to indicate that \(76\) is ‘within the data range’ and the correlation is ‘strong’.</span></p>
<p><span> Allow \({r^2}\) close to \(1\).</span></p>
<p><span> Do <strong>not </strong>accept “within the range of prices”.</span></p>
<p> </p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{Percentage error}} = \frac{{87 - 80}}{{80}} \times 100\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution into formula.</span></p>
<p> </p>
<p><span>\(8.75\%\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Follow through from their answer to part (f).</span></p>
<p><span> Accept either the rounded or unrounded answer to part (f).</span></p>
<p><span> If no integer value seen in part (f), follow through from their unrounded answer to part (f).</span></p>
<p><span> Answer must be positive.</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">This question was very well attempted by a significant majority of candidates. Many good and accurate attempts at plotting a scatter diagram were seen in part (a). However, a minority of candidates chose not to use graph paper but instead used their answer book. These candidates achieved, at most, one mark for that part question. Many correct answers were seen in parts (b) and (d) reflecting good use of the graphic display calculator. Whilst many candidates realized that the line of regression passes through the point <em>M</em>, a significant number of candidates seemed to draw their line ‘by eye’ rather than using the equation found in part (d) and, as a consequence for many, their straight line (or projected line) did not fall within the required tolerances for the second mark. Many candidates understood the requirements for part (f) and full marks were seen on a majority of scripts. Those candidates, however, who used their graph instead scored, at most, two marks here. Many candidates seemed to be well-drilled in giving a suitable reason in part (f) and ‘within the data range’ or a ‘strong correlation’ were frequently seen. Percentage error caused very few problems for candidates and many correct answers were seen in part (h).</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">This question was very well attempted by a significant majority of candidates. Many good and accurate attempts at plotting a scatter diagram were seen in part (a). However, a minority of candidates chose not to use graph paper but instead used their answer book. These candidates achieved, at most, one mark for that part question. Many correct answers were seen in parts (b) and (d) reflecting good use of the graphic display calculator. Whilst many candidates realized that the line of regression passes through the point <em>M</em>, a significant number of candidates seemed to draw their line ‘by eye’ rather than using the equation found in part (d) and, as a consequence for many, their straight line (or projected line) did not fall within the required tolerances for the second mark. Many candidates understood the requirements for part (f) and full marks were seen on a majority of scripts. Those candidates, however, who used their graph instead scored, at most, two marks here. Many candidates seemed to be well-drilled in giving a suitable reason in part (f) and ‘within the data range’ or a ‘strong correlation’ were frequently seen. Percentage error caused very few problems for candidates and many correct answers were seen in part (h).</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">This question was very well attempted by a significant majority of candidates. Many good and accurate attempts at plotting a scatter diagram were seen in part (a). However, a minority of candidates chose not to use graph paper but instead used their answer book. These candidates achieved, at most, one mark for that part question. Many correct answers were seen in parts (b) and (d) reflecting good use of the graphic display calculator. Whilst many candidates realized that the line of regression passes through the point <em>M</em>, a significant number of candidates seemed to draw their line ‘by eye’ rather than using the equation found in part (d) and, as a consequence for many, their straight line (or projected line) did not fall within the required tolerances for the second mark. Many candidates understood the requirements for part (f) and full marks were seen on a majority of scripts. Those candidates, however, who used their graph instead scored, at most, two marks here. Many candidates seemed to be well-drilled in giving a suitable reason in part (f) and ‘within the data range’ or a ‘strong correlation’ were frequently seen. Percentage error caused very few problems for candidates and many correct answers were seen in part (h).</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">This question was very well attempted by a significant majority of candidates. Many good and accurate attempts at plotting a scatter diagram were seen in part (a). However, a minority of candidates chose not to use graph paper but instead used their answer book. These candidates achieved, at most, one mark for that part question. Many correct answers were seen in parts (b) and (d) reflecting good use of the graphic display calculator. Whilst many candidates realized that the line of regression passes through the point <em>M</em>, a significant number of candidates seemed to draw their line ‘by eye’ rather than using the equation found in part (d) and, as a consequence for many, their straight line (or projected line) did not fall within the required tolerances for the second mark. Many candidates understood the requirements for part (f) and full marks were seen on a majority of scripts. Those candidates, however, who used their graph instead scored, at most, two marks here. Many candidates seemed to be well-drilled in giving a suitable reason in part (f) and ‘within the data range’ or a ‘strong correlation’ were frequently seen. Percentage error caused very few problems for candidates and many correct answers were seen in part (h).</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">This question was very well attempted by a significant majority of candidates. Many good and accurate attempts at plotting a scatter diagram were seen in part (a). However, a minority of candidates chose not to use graph paper but instead used their answer book. These candidates achieved, at most, one mark for that part question. Many correct answers were seen in parts (b) and (d) reflecting good use of the graphic display calculator. Whilst many candidates realized that the line of regression passes through the point <em>M</em>, a significant number of candidates seemed to draw their line ‘by eye’ rather than using the equation found in part (d) and, as a consequence for many, their straight line (or projected line) did not fall within the required tolerances for the second mark. Many candidates understood the requirements for part (f) and full marks were seen on a majority of scripts. Those candidates, however, who used their graph instead scored, at most, two marks here. Many candidates seemed to be well-drilled in giving a suitable reason in part (f) and ‘within the data range’ or a ‘strong correlation’ were frequently seen. Percentage error caused very few problems for candidates and many correct answers were seen in part (h).</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">This question was very well attempted by a significant majority of candidates. Many good and accurate attempts at plotting a scatter diagram were seen in part (a). However, a minority of candidates chose not to use graph paper but instead used their answer book. These candidates achieved, at most, one mark for that part question. Many correct answers were seen in parts (b) and (d) reflecting good use of the graphic display calculator. Whilst many candidates realized that the line of regression passes through the point <em>M</em>, a significant number of candidates seemed to draw their line ‘by eye’ rather than using the equation found in part (d) and, as a consequence for many, their straight line (or projected line) did not fall within the required tolerances for the second mark. Many candidates understood the requirements for part (f) and full marks were seen on a majority of scripts. Those candidates, however, who used their graph instead scored, at most, two marks here. Many candidates seemed to be well-drilled in giving a suitable reason in part (f) and ‘within the data range’ or a ‘strong correlation’ were frequently seen. Percentage error caused very few problems for candidates and many correct answers were seen in part (h).</span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">This question was very well attempted by a significant majority of candidates. Many good and accurate attempts at plotting a scatter diagram were seen in part (a). However, a minority of candidates chose not to use graph paper but instead used their answer book. These candidates achieved, at most, one mark for that part question. Many correct answers were seen in parts (b) and (d) reflecting good use of the graphic display calculator. Whilst many candidates realized that the line of regression passes through the point <em>M</em>, a significant number of candidates seemed to draw their line ‘by eye’ rather than using the equation found in part (d) and, as a consequence for many, their straight line (or projected line) did not fall within the required tolerances for the second mark. Many candidates understood the requirements for part (f) and full marks were seen on a majority of scripts. Those candidates, however, who used their graph instead scored, at most, two marks here. Many candidates seemed to be well-drilled in giving a suitable reason in part (f) and ‘within the data range’ or a ‘strong correlation’ were frequently seen. Percentage error caused very few problems for candidates and many correct answers were seen in part (h).</span></p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">This question was very well attempted by a significant majority of candidates. Many good and accurate attempts at plotting a scatter diagram were seen in part (a). However, a minority of candidates chose not to use graph paper but instead used their answer book. These candidates achieved, at most, one mark for that part question. Many correct answers were seen in parts (b) and (d) reflecting good use of the graphic display calculator. Whilst many candidates realized that the line of regression passes through the point <em>M</em>, a significant number of candidates seemed to draw their line ‘by eye’ rather than using the equation found in part (d) and, as a consequence for many, their straight line (or projected line) did not fall within the required tolerances for the second mark. Many candidates understood the requirements for part (f) and full marks were seen on a majority of scripts. Those candidates, however, who used their graph instead scored, at most, two marks here. Many candidates seemed to be well-drilled in giving a suitable reason in part (f) and ‘within the data range’ or a ‘strong correlation’ were frequently seen. Percentage error caused very few problems for candidates and many correct answers were seen in part (h).</span></p>
<div class="question_part_label">h.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Give your answers to parts (b), (c) and (d) to the nearest whole number.</strong></p>
<p>Harinder has 14 000 US Dollars (USD) to invest for a period of five years. He has two options of how to invest the money.</p>
<p><strong>Option A:</strong> Invest the full amount, in USD, in a fixed deposit account in an American bank.</p>
<p>The account pays a nominal annual interest rate of <em>r </em>% , <strong>compounded yearly</strong>, for the five years. The bank manager says that this will give Harinder a return of 17<em> </em>500 USD.</p>
</div>
<div class="specification">
<p><strong>Option B:</strong> Invest the full amount, in Indian Rupees (INR), in a fixed deposit account in an Indian bank. The money must be converted from USD to INR before it is invested.</p>
<p>The exchange rate is 1 USD = 66.91 INR.</p>
</div>
<div class="specification">
<p>The account in the Indian bank pays a nominal annual interest rate of 5.2 % <strong>compounded monthly</strong>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the value of <em>r</em>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate 14 000 USD in INR.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the amount of this investment, in INR, in this account after five years.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Harinder chose option B. At the end of five years, Harinder converted this investment back to USD. The exchange rate, at that time, was 1 USD = 67.16 INR.</p>
<p>Calculate how much <strong>more</strong> money, in USD, Harinder earned by choosing option B instead of option A.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(17500 = 14000{\left( {1 + \frac{r}{{100}}} \right)^5}\) <em><strong>(M1)(A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into the compound interest formula, <em><strong>(A1)</strong></em> for correct substitution. Award at most <em><strong>(M1)(A0)</strong></em> if not equated to 17500.</p>
<p>OR</p>
<p><em>N</em> = 5</p>
<p><em>PV</em> = ±14000</p>
<p><em>FV</em> = \( \mp \)17500</p>
<p><em>P</em>/<em>Y</em> = 1</p>
<p><em>C</em>/<em>Y</em> = 1 <em><strong>(A1)(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for <em>C</em>/<em>Y</em> = 1 seen, <em><strong>(M1)</strong></em> for <strong>all</strong> other correct entries. <em>FV</em> and <em>PV</em> must have opposite signs.</p>
<p>= 4.56 (%) (4.56395… (%)) <em><strong>(A1) (G3)</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<p> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>14000 × 66.91 <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for multiplying 14000 by 66.91.</p>
<p>936740 (INR) <em><strong>(A1) (G2)</strong></em></p>
<p><strong>Note:</strong> Answer must be given to the nearest whole number.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(936740 \times {\left( {1 + \frac{{5.2}}{{12 \times 100}}} \right)^{12 \times 5}}\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into the compound interest formula, <em><strong>(A1)</strong></em><strong>(ft)</strong> for their correct substitution.</p>
<p><strong>OR </strong></p>
<p><em>N</em> = 60</p>
<p><em>I</em>% = 5.2</p>
<p><em>PV</em> = ±936740</p>
<p><em>P</em>/<em>Y</em>= 12</p>
<p><em>C</em>/<em>Y</em>= 12 <em><strong>(A1)(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for <em>C</em>/<em>Y </em>= 12 seen, <em><strong>(M1)</strong></em> for <strong>all</strong> other correct entries.</p>
<p><strong>OR </strong></p>
<p><em>N</em> = 5</p>
<p><em>I</em>% = 5.2</p>
<p><em>PV</em> = ±936740</p>
<p><em>P</em>/<em>Y</em>= 1</p>
<p><em>C</em>/<em>Y</em>= 12 <em><strong>(A1)(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for <em>C</em>/<em>Y </em>= 12 seen, <em><strong>(M1)</strong></em> for <strong>all</strong> other correct entries</p>
<p>= 1214204 (INR) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (G3)</strong></em></p>
<p><strong>Note:</strong> Follow through from part (b). Answer must be given to the nearest whole number.</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{1214204}}{{67.16}}\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for dividing their (c) by 67.16.</p>
<p>\(\left( {\frac{{1214204}}{{67.16}}} \right) - 17500 = 579\) (USD) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong><em><strong> (G3)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for finding the difference between their conversion and 17500. Answer must be given to the nearest whole number. Follow through from part (c).</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">Daniel grows apples and chooses at random a sample of <span class="s1">100 </span>apples from his harvest.</p>
<p class="p1">He measures the diameters of the apples to the nearest <span class="s1">cm</span>. The following table shows the distribution of the diameters.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-22_om_08.48.03.png" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Using your graphic display calculator, write down the value of</p>
<p class="p1">(i) the mean of the diameters in this sample;</p>
<p class="p1">(ii) the standard deviation of the diameters in this sample.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Daniel assumes that the diameters of all of the apples from his harvest are normally distributed with a mean of <span class="s1">7 cm </span>and a standard deviation of <span class="s1">1.2 cm</span>. He classifies the apples according to their diameters as shown in the following table.</p>
<p class="p1"><img src="images/Schermafbeelding_2015-12-22_om_08.50.32.png" alt></p>
<p class="p1">Calculate the percentage of <strong>small </strong>apples in Daniel’s harvest.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Daniel assumes that the diameters of all of the apples from his harvest are normally distributed with a mean of <span class="s1">7 cm </span>and a standard deviation of <span class="s1">1.2 cm</span>. He classifies the apples according to their diameters as shown in the following table.</p>
<p class="p1"><img src="images/Schermafbeelding_2015-12-22_om_08.50.32.png" alt></p>
<p class="p1">Of the apples harvested, <span class="s1">5</span>% are <strong>large </strong>apples.</p>
<p class="p1">Find the value of \(a\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Daniel assumes that the diameters of all of the apples from his harvest are normally distributed with a mean of <span class="s1">7 cm </span>and a standard deviation of <span class="s1">1.2 cm</span>. He classifies the apples according to their diameters as shown in the following table.</p>
<p class="p1"><img src="images/Schermafbeelding_2015-12-22_om_08.50.32.png" alt></p>
<p class="p1">Find the percentage of <strong>medium </strong>apples.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Daniel assumes that the diameters of all of the apples from his harvest are normally distributed with a mean of <span class="s1">7 cm </span>and a standard deviation of <span class="s1">1.2 cm</span>. He classifies the apples according to their diameters as shown in the following table.</p>
<p class="p1"><img src="images/Schermafbeelding_2015-12-22_om_08.50.32.png" alt></p>
<p class="p1">This year, Daniel estimates that he will grow <span class="s1">\({\text{100}}\,{\text{000}}\) </span>apples.</p>
<p class="p1">Estimate the number of <strong>large </strong>apples that Daniel will grow this year.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\(6.76{\text{ (cm)}}\) <span class="Apple-converted-space"> </span><strong><em>(G2)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for an attempt to use the formula for the mean with a least two rows from the table.</p>
<p class="p2"> </p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\(1.14{\text{ (cm)}}\;\;\;\left( {1.14122 \ldots {\text{ (cm)}}} \right)\) <span class="Apple-converted-space"> </span><strong><em>(G1)</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({\text{P}}({\text{diameter}} < 6.5) = 0.338\;\;\;(0.338461)\) <span class="Apple-converted-space"> </span><strong><em>(M1)(A1)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for attempting to use the normal distribution to find the probability <strong>or </strong>for correct region indicated on labelled diagram. Award <strong><em>(A1) </em></strong>for correct probability.</p>
<p class="p2"> </p>
<p class="p1">\(33.8(\% )\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G3)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(A1)</em>(ft) </strong>for converting their probability into a percentage.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({\text{P}}({\text{diameter}} \geqslant a) = 0.05\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for attempting to use the normal distribution to find the probability <strong>or </strong>for correct region indicated on labelled diagram.</p>
<p class="p2"> </p>
<p class="p1">\(a = 8.97{\text{ (cm)}}\;\;\;(8.97382 \ldots )\) <span class="Apple-converted-space"> </span><strong><em>(A1)(G2)</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(100 - (5 + 33.8461 \ldots )\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p3"><span class="s1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for subtracting “\(5+\) their part (b)” from 100 </span><span class="s2"><strong>or </strong></span><span class="s1"><strong><em>(M1) </em></strong></span>for attempting to use the normal distribution to find the probability \({\text{P}}\left( {6.5 \leqslant {\text{diameter}} < {\text{their part (c)}}} \right)\) <span class="s1"><strong>or </strong>for correct region indicated on labelled diagram.</span></p>
<p class="p2"> </p>
<p class="p1">\( = 61.2(\% )\;\;\;\left( {61.1538 \ldots (\% )} \right)\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Notes:<span class="Apple-converted-space"> </span></strong>Follow through from their answer to part (b). Percentage symbol is not required. Accept \(61.1(\%)\)<span class="s2"> </span>(\(61.1209\ldots(\%)\)) if \(8.97\)<span class="s2"> </span>used.</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(100\,000 \times 0.05\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for multiplying by \(0.05\)<span class="s1"> (or \(5\%\)).</span></p>
<p class="p3"> </p>
<p class="p1">\( = 5000\) <span class="Apple-converted-space"> </span><strong><em>(A1)(G2)</em></strong></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">A boat race takes place around a triangular course, \({\text{ABC}}\), with \({\text{AB}} = 700{\text{ m}}\), \({\text{BC}} = 900{\text{ m}}\)<span class="s1"> </span>and angle \({\text{ABC}} = 110^\circ \). The race starts and finishes at point \({\text{A}}\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-21_om_07.47.08.png" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the total length of the course.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">It is estimated that the fastest boat in the race can travel at an average speed of \(1.5\;{\text{m}}\,{{\text{s}}^{ - 1}}\)<span class="s1">.</span></p>
<p class="p2">Calculate an estimate of the winning time of the race. Give your answer to the nearest minute.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">It is estimated that the fastest boat in the race can travel at an average speed of \(1.5\;{\text{m}}\,{{\text{s}}^{ - 1}}\)<span class="s1">.</span></p>
<p class="p1">Find the size of angle \({\text{ACB}}\).</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">To comply with safety regulations, the area inside the triangular course must be kept clear of other boats, and the shortest distance from \({\text{B}}\)<span class="s1"> </span>to \({\text{AC}}\)<span class="s1"> </span>must be greater than \(375\)<span class="s1"> </span>metres.</p>
<p class="p1">Calculate the area that must be kept clear of boats.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">To comply with safety regulations, the area inside the triangular course must be kept clear of other boats, and the shortest distance from \({\text{B}}\)<span class="s1"> </span>to \({\text{AC}}\)<span class="s1"> </span>must be greater than \(375\)<span class="s1"> </span>metres.</p>
<p class="p1">Determine, giving a reason, whether the course complies with the safety regulations.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The race is filmed from a helicopter, \({\text{H}}\), which is flying vertically above point \({\text{A}}\).</p>
<p class="p1">The angle of elevation of \({\text{H}}\)<span class="s1"> </span>from \({\text{B}}\)<span class="s1"> </span>is \(15^\circ\).</p>
<p class="p1">Calculate the vertical height, \({\text{AH}}\), of the helicopter above \({\text{A}}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The race is filmed from a helicopter, \({\text{H}}\), which is flying vertically above point \({\text{A}}\).</p>
<p class="p1">The angle of elevation of \({\text{H}}\)<span class="s1"> </span>from \({\text{B}}\)<span class="s1"> </span>is \(15^\circ\).</p>
<p class="p1">Calculate the maximum possible distance from the helicopter to a boat on the course.</p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({\text{A}}{{\text{C}}^2} = {700^2} + {900^2} - 2 \times 700 \times 900 \times \cos 110^\circ \) <span class="Apple-converted-space"> </span><strong><em>(M1)(A1)</em></strong></p>
<p class="p1">\({\text{AC}} = 1315.65 \ldots \) <span class="Apple-converted-space"> </span><strong><em>(A1)(G2)</em></strong></p>
<p class="p1">length of course \( = 2920{\text{ (m)}}\;\;\;(2915.65 \ldots {\text{ m)}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for substitution into cosine rule formula, <strong><em>(A1) </em></strong>for correct substitution, <strong><em>(A1) </em></strong>for correct answer.</p>
<p class="p1">Award <strong><em>(G3) </em></strong>for \(2920\;\;\;(2915.65 \ldots )\)<span class="s1"> </span>seen without working.</p>
<p class="p1">The final <strong><em>(A1) </em></strong>is awarded for adding \(900\)<span class="s1"> </span>and \(700\)<span class="s1"> </span>to their \({\text{AC}}\)<span class="s1"> </span>irrespective of working seen.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{{2915.65}}{{1.5}}\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for their length of course divided by \(1.5\)<span class="s1">.</span></p>
<p class="p3">Follow through from part (a).</p>
<p class="p4"> </p>
<p class="p1">\( = 1943.76 \ldots {\text{ (seconds)}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p1">\( = 32{\text{ (minutes)}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Notes:<span class="Apple-converted-space"> </span></strong>Award the final <strong><em>(A1) </em></strong>for correct conversion of <strong>their </strong>answer in seconds to minutes, correct to the nearest minute.</p>
<p class="p1">Follow through from part (a).</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{{700}}{{\sin {\text{ACB}}}} = \frac{{1315.65 \ldots }}{{\sin 110^\circ }}\) <span class="Apple-converted-space"> </span><strong><em>(M1)(A1)</em>(ft)</strong></p>
<p class="p1"> </p>
<p class="p1"><strong>OR</strong></p>
<p class="p1">\(\cos {\text{ACB}} = \frac{{{{900}^2} + 1315.65{ \ldots ^2} - {{700}^2}}}{{2 \times 900 \times 1315.65 \ldots }}\) <span class="Apple-converted-space"> </span><strong><em>(M1)(A1)</em>(ft)</strong></p>
<p class="p1">\({\text{ACB}} = 30.0^\circ \;\;\;(29.9979 \ldots ^\circ )\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for substitution into sine rule or cosine rule formula, <strong><em>(A1) </em></strong>for their correct substitution, <strong><em>(A1) </em></strong>for correct answer.</p>
<p class="p1">Accept \(29.9^\circ\) for sine rule and \(29.8^\circ\) for cosine rule from use of correct three significant figure values. Follow through from their answer to (a).</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{1}{2} \times 700 \times 900 \times \sin 110^\circ \) <span class="Apple-converted-space"> </span><strong><em>(M1)(A1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Accept \(\frac{1}{2} \times {\text{their AC}} \times {\text{900}} \times {\text{sin(their ACB)}}\). Follow through from <span class="s1">parts (a) and (c).</span></p>
<p class="p3"> </p>
<p class="p1">\( = 296000{\text{ }}{{\text{m}}^2}\;\;\;(296003{\text{ }}{{\text{m}}^2})\) <span class="Apple-converted-space"> </span><strong><em>(A1)(G2)</em></strong></p>
<p class="p1"><strong>Notes:<span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for substitution into area of triangle formula, <strong><em>(A1) </em></strong>for correct substitution, <strong><em>(A1) </em></strong>for correct answer.</p>
<p class="p1">Award <strong><em>(G1) </em></strong>if \(296000\)<span class="s2"> </span>is seen without units or working.</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\sin 29.9979 \ldots = \frac{{{\text{distance}}}}{{900}}\) <strong><em>(M1)</em></strong></p>
<p>\({\text{(distance}} = ){\text{ }}450{\text{ (m)}}\;\;\;{\text{(449.971}} \ldots {\text{)}}\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p><strong>Note: </strong>Follow through from part (c).</p>
<p> </p>
<p><strong>OR</strong></p>
<p>\(\frac{1}{2} \times {\text{distance}} \times 1315.65 \ldots = 296003\) <strong><em>(M1)</em></strong></p>
<p>\(({\text{distance}} = ){\text{ }}450{\text{ (m)}}\;\;\;{\text{(449.971}} \ldots {\text{)}}\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p><strong>Note: </strong>Follow through from part (a) and part (d).</p>
<p> </p>
<p>\(450\) is greater than \(375\), thus the course complies with the safety regulations <strong><em>(R1)</em></strong></p>
<p><strong>Notes: </strong>A comparison of their area from (d) and the area resulting from the use of \(375\) as the perpendicular distance is a valid approach and should be given full credit. Similarly a comparison of angle \({\text{ACB}}\) and \({\sin ^{ - 1}}\left( {\frac{{375}}{{900}}} \right)\) should be given full credit.</p>
<p>Award <strong><em>(R0) </em></strong>for correct answer without any working seen. Award <strong><em>(R1)</em>(ft) </strong>for a justified reason consistent with their working.</p>
<p>Do not award <strong><em>(M0)(A0)(R1)</em></strong>.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\tan 15^\circ = \frac{{{\text{AH}}}}{{700}}\) <strong><em>(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution into trig formula.</p>
<p> </p>
<p>\({\text{AH}} = 188{\text{ (m)}}\;\;\;(187.564 \ldots )\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({\text{H}}{{\text{C}}^2} = 187.564{ \ldots ^2} + 1315.65{ \ldots ^2}\) <span class="Apple-converted-space"> </span><strong><em>(M1)(A1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution into Pythagoras, <strong><em>(A1) </em></strong>for their \(1315.65{ \ldots}\) and their \(187.564{ \ldots}\)<span class="s1"> </span>correctly substituted in formula.</p>
<p class="p1"> </p>
<p class="p1">\({\text{HC}} = 1330 \ldots {\text{ (m)}}\;\;\;(1328.95 \ldots )\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Note: </strong>Follow through from their answer to parts (a) and (f).</p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>Most candidates were able to recognize and use the cosine rule correctly in part (a) and then to complete part (b) – though perhaps not giving the answer to the correct level of accuracy. It is expected that candidates can use “distance = speed x time” without the formula being given. The work involving sine rule was less successful, though correct responses were given by the great majority and the area of the course was again successfully completed by most candidates. A common error throughout these parts was the use of the total length of the course. A more fundamental error was the halving of the angle and/or the base in calculations – this error has been seen in a number of sessions and perhaps needs more emphasis.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Most candidates were able to recognize and use the cosine rule correctly in part (a) and then to complete part (b) – though perhaps not giving the answer to the correct level of accuracy. It is expected that candidates can use “distance = speed x time” without the formula being given. The work involving sine rule was less successful, though correct responses were given by the great majority and the area of the course was again successfully completed by most candidates. A common error throughout these parts was the use of the total length of the course. A more fundamental error was the halving of the angle and/or the base in calculations – this error has been seen in a number of sessions and perhaps needs more emphasis.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Most candidates were able to recognize and use the cosine rule correctly in part (a) and then to complete part (b) – though perhaps not giving the answer to the correct level of accuracy. It is expected that candidates can use “distance = speed x time” without the formula being given. The work involving sine rule was less successful, though correct responses were given by the great majority and the area of the course was again successfully completed by most candidates. A common error throughout these parts was the use of the total length of the course. A more fundamental error was the halving of the angle and/or the base in calculations – this error has been seen in a number of sessions and perhaps needs more emphasis.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Most candidates were able to recognize and use the cosine rule correctly in part (a) and then to complete part (b) – though perhaps not giving the answer to the correct level of accuracy. It is expected that candidates can use “distance = speed x time” without the formula being given. The work involving sine rule was less successful, though correct responses were given by the great majority and the area of the course was again successfully completed by most candidates. A common error throughout these parts was the use of the total length of the course. A more fundamental error was the halving of the angle and/or the base in calculations – this error has been seen in a number of sessions and perhaps needs more emphasis.</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>In part (e), unless evidence was presented, reasoning marks did not accrue; the interpretative nature of this part was a significant discriminator in determining the quality of a response.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>There were many instances of parts (f) and (g) being left blank and angle of elevation is still not well understood. Again, the interpretative nature of part (g) – even when part (f) was correct – caused difficulties</p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>There were many instances of parts (f) and (g) being left blank and angle of elevation is still not well understood. Again, the interpretative nature of part (g) – even when part (f) was correct – caused difficulties</p>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">The front view of the edge of a water tank is drawn on a set of axes shown below.</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">The edge is modelled by \(y = a{x^2} + c\).</span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; text-align: center; margin: 0px;"><span style="font-family: 'times new roman', times; font-size: medium;"><br><img src="images/Schermafbeelding_2014-09-02_om_11.23.28.png" alt><br></span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; text-align: left; margin: 0px;"><span style="font-family: 'times new roman', times; font-size: medium;">Point \({\text{P}}\) has coordinates \((-3, 1.8)\), point \({\text{O}}\) has coordinates \((0, 0)\) and point \({\text{Q}}\) has coordinates \((3, 1.8)\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the value of \(c\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the value of \(a\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Hence write down the equation of the quadratic function which models the edge of the water tank.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The water tank is shown below. It is partially filled with water.</span></p>
<p><br><span><img src="images/Schermafbeelding_2014-09-02_om_10.48.45_1.png" alt></span></p>
<p><span>Calculate the value of <em>y </em>when \(x = 2.4{\text{ m}}\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The water tank is shown below. It is partially filled with water.</span></p>
<p><br><span><img src="images/Schermafbeelding_2014-09-02_om_10.48.45_3.png" alt></span></p>
<p><span>State what the value of \(x\) and the value of \(y\) represent for this water tank.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The water tank is shown below. It is partially filled with water.</span></p>
<p><br><span><img src="images/Schermafbeelding_2014-09-02_om_10.48.45.png" alt></span></p>
<p><span>Find the value of \(x\) when the height of water in the tank is \(0.9\) m.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The water tank is shown below. It is partially filled with water.</span></p>
<p><br><span><img src="images/Schermafbeelding_2014-09-02_om_10.48.45_2.png" alt></span></p>
<p> </p>
<p><span>The water tank has a length of 5 m.</span></p>
<p> </p>
<p><span>When the water tank is filled to a height of \(0.9\) m, the front cross-sectional area of the water is \({\text{2.55 }}{{\text{m}}^2}\).</span></p>
<p><span>(i) Calculate the volume of water in the tank.</span></p>
<p><span>The total volume of the tank is \({\text{36 }}{{\text{m}}^3}\).</span></p>
<p><span>(ii) Calculate the percentage of water in the tank.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(0\) <strong><em>(A1)(G1)</em></strong></span></p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(1.8 = a{(3)^2} + 0\) <strong><em>(M1)</em></strong></span></p>
<p><span><strong>OR</strong></span></p>
<p><span>\(1.8 = a{( - 3)^2} + 0\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution of \(y = 1.8\) or \(x = 3\) and their value of \(c\) into equation. \(0\) may be implied.</span></p>
<p> </p>
<p><span>\(a = 0.2\) \(\left( {\frac{1}{5}} \right)\) <strong><em>(A1)</em>(ft)<em>(G1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Follow through from their answer to part (a).</span></p>
<p><span> Award <strong><em>(G1) </em></strong>for a correct answer only.</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(y = 0.2{x^2}\) <strong><em>(A1)</em>(ft)</strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Follow through from their answers to parts (a) and (b).</span></p>
<p><span> Answer must be an equation.</span></p>
<p> </p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(0.2 \times {(2.4)^2}\) <strong><em>(M1)</em></strong></span></p>
<p><span>\( = 1.15{\text{ (m)}}\) \((1.152)\) <strong><em>(A1)</em>(ft)<em>(G1)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for correctly substituted formula, <strong><em>(A1) </em></strong>for correct answer. Follow through from their answer </span><span>to part (c).</span></p>
<p><span> Award <strong><em>(G1) </em></strong>for a correct answer only.</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(y\) is the height <strong><em>(A1)</em></strong></span></p>
<p><span>positive value of \(x\) is half the width (<em>or equivalent</em>) <strong><em>(A1)</em></strong></span></p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(0.9 = 0.2{x^2}\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for setting their equation equal to \(0.9\).</span></p>
<p> </p>
<p><span>\(x = \pm 2.12{\text{ (m)}}\) \(\left( { \pm \frac{3}{2}\sqrt 2 ,{\text{ }} \pm \sqrt {4.5} ,{\text{ }} \pm {\text{2.12132}} \ldots } \right)\) <strong><em>(A1)</em>(ft)<em>(G1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Accept \(2.12\). Award <strong><em>(G1) </em></strong>for a correct answer only.</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(2.55 \times 5\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution in formula.</span></p>
<p> </p>
<p><span>\( = 12.8{\text{ (}}{{\text{m}}^3}{\text{)}}\) \(\left( {{\text{12.75 (}}{{\text{m}}^3}{\text{)}}} \right)\) <strong><em>(A1)(G2)</em></strong></span></p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<p><span><strong><em> </em></strong></span></p>
<p><span>(ii) \(\frac{{12.75}}{{36}} \times 100\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct quotient multiplied by \(100\).</span></p>
<p> </p>
<p><span>\( = 35.4 (\%)\) \((35.4166 \ldots )\) <strong><em>(A1)</em>(ft)(<em>G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(G2) </em></strong>for \(35.6 (\%) (35.5555… (\%))\).</span></p>
<p><span> Follow through from their answer to part (g)(i).</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">Tepees were traditionally used by nomadic tribes who lived on the Great Plains of North America. They are cone-shaped dwellings and can be modelled as a cone, with vertex O, shown below. The cone has radius, \(r\), height, \(h\), and slant height, \(l\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-04_om_10.28.13.png" alt></p>
<p class="p1">A model tepee is displayed at a Great Plains exhibition. The curved surface area of this tepee is covered by a piece of canvas that is \(39.27{\text{ }}{{\text{m}}^2}\), and has the shape of a semicircle, as shown in the following diagram.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-04_om_10.29.53.png" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that the slant height, \(l\), is \(5\) m, correct to the nearest metre.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Find the circumference of the base of the cone.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Find the radius, \(r\), of the base.</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>Find the height, \(h\).</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A company designs cone-shaped tents to resemble the traditional tepees.</p>
<p class="p1">These cone-shaped tents come in a range of sizes such that the sum of the diameter and the height is equal to <strong>9.33 m</strong>.</p>
<p class="p1">Write down an expression for the height, \(h\), in terms of the radius, \(r\), of these cone-shaped tents.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A company designs cone-shaped tents to resemble the traditional tepees.</p>
<p class="p1">These cone-shaped tents come in a range of sizes such that the sum of the diameter and the height is equal to <strong>9.33 m</strong>.</p>
<p class="p1">Show that the volume of the tent, \(V\), can be written as</p>
<p class="p1">\[V = 3.11\pi {r^2} - \frac{2}{3}\pi {r^3}.\]</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A company designs cone-shaped tents to resemble the traditional tepees.</p>
<p class="p1">These cone-shaped tents come in a range of sizes such that the sum of the diameter and the height is equal to <strong>9.33 m</strong>.</p>
<p class="p1">Find \(\frac{{{\text{d}}V}}{{{\text{d}}r}}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A company designs cone-shaped tents to resemble the traditional tepees.</p>
<p class="p1">These cone-shaped tents come in a range of sizes such that the sum of the diameter and the height is equal to <strong>9.33 m</strong>.</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>Determine the exact value of \(r\) for which the volume is a maximum.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Find the maximum volume.</p>
<div class="marks">[4]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{{\pi {l^2}}}{2} = 39.27\) <span class="Apple-converted-space"> </span><strong><em>(M1)(A1)</em></strong></p>
<p class="p1"><strong>Note:<span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for equating the formula for area of a semicircle to \(39.27\), award <strong><em>(A1) </em></strong>for correct substitution of \(l\) into the formula for area of a semicircle.</p>
<p class="p2"> </p>
<p class="p1">\(l = 5{\text{ (m)}}\) <span class="Apple-converted-space"> </span><strong><em>(AG)</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\(5 \times \pi \) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1">\( = 15.7\;\;\;(15.7079...,{\text{ }}5\pi )\;{\text{(m)}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)(G2)</em></strong></p>
<p class="p1"> </p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\(2\pi r = 15.7079…\;\;\;\)<strong>OR</strong>\(\;\;\;5\pi r = 39.27\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1">\((r = ){\text{ 2.5 (m)}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Note:<span class="Apple-converted-space"> </span></strong>Follow through from part (b)(i).</p>
<p class="p2"> </p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>\(({h^2} = ){\text{ }}{5^2} - {2.5^2}\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(M1) </em></strong>for correct substitution into Pythagoras’ theorem. Follow through from part (b)(ii).</p>
<p class="p2"> </p>
<p class="p1">\((h = ){\text{ 4.33 }}(4.33012 \ldots ){\text{ (m)}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(9.33 - 2 \times r\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(V = \frac{{\pi {r^2}}}{3} \times (9.33 - 2r)\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution in the volume formula.</p>
<p class="p1"> </p>
<p class="p1">\(V = 3.11\pi {r^2} - \frac{2}{3}{\pi ^3}\) <span class="Apple-converted-space"> </span><strong><em>(AG)</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(6.22\pi r - 2\pi {r^2}\) <span class="Apple-converted-space"> </span><strong><em>(A1)(A1)</em></strong></p>
<p class="p1"><strong>Notes:<span class="Apple-converted-space"> </span></strong>Award <strong><em>(A1) </em></strong>for \(6.22\pi r\), <strong><em>(A1) </em></strong>for \( - 2\pi {r^2}\).</p>
<p class="p1">If extra terms present, award at most <strong><em>(A1)(A0)</em></strong><em>.</em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\(6.22\pi r - 2\pi {r^2} = 0\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note:<span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for setting their derivative from part (e) to 0.</p>
<p class="p2"> </p>
<p class="p1">\(r = 3.11{\text{ (m)}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(A1) </em></strong>for identifying 3.11 as the answer.</p>
<p class="p1">Follow through from their answer to part (e).</p>
<p class="p2"> </p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\(\frac{1}{3}\pi {(3.11)^3}\;\;\;\)<strong>OR</strong>\(\;\;\;3.11\pi {(3.11)^2} - \frac{2}{3}\pi {(3.11)^3}\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note:<span class="Apple-converted-space"> </span></strong>Award <strong><em>(M1) </em></strong>for correct substitution into the correct volume formula.</p>
<p class="p2"> </p>
<p class="p1">\(31.5{\text{ (}}{{\text{m}}^3}{\text{)}}{\text{(31.4999}} \ldots {\text{)}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Note: </strong>Follow through from their answer to part (f)(i).</p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>A manufacturer makes trash cans in the form of a cylinder with a hemispherical top. The trash can has a height of 70 cm. The base radius of both the cylinder and the hemispherical top is 20 cm.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>A designer is asked to produce a new trash can.</p>
<p>The new trash can will also be in the form of a cylinder with a hemispherical top.</p>
<p>This trash can will have a height of <em>H</em> cm and a base radius of <em>r</em> cm.</p>
<p style="text-align: center;"><img 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"></p>
<p>There is a design constraint such that <em>H</em> + 2<em>r</em> = 110 cm.</p>
<p>The designer has to maximize the volume of the trash can.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the height of the cylinder.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the total volume of the trash can.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the height of the <strong>cylinder</strong>, <em>h</em> , of the new trash can, in terms of <em>r</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the volume, <em>V</em> cm<sup>3</sup> , of the new trash can is given by</p>
<p>\(V = 110\pi {r^3}\).</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using your graphic display calculator, find the value of <em>r</em> which maximizes the value of <em>V</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The designer claims that the new trash can has a capacity that is at least 40% greater than the capacity of the original trash can.</p>
<p>State whether the designer’s claim is correct. Justify your answer.</p>
<div class="marks">[4]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>50 (cm) <em><strong>(A1)</strong></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\pi \times 50 \times {20^2} + \frac{1}{2} \times \frac{4}{3} \times \pi \times {20^3}\) <em><strong>(M1)(M1)(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for their correctly substituted volume of cylinder, <em><strong>(M1)</strong></em> for correctly substituted volume of sphere formula, <em><strong>(M1)</strong></em> for halving the substituted volume of sphere formula. Award at most <em><strong>(M1)</strong></em><em><strong>(M1)</strong></em><em><strong>(M0)</strong></em> if there is no addition of the volumes.</p>
<p>\( = 79600\,\,\left( {{\text{c}}{{\text{m}}^3}} \right)\,\,\left( {79587.0 \ldots \left( {{\text{c}}{{\text{m}}^3}} \right)\,,\,\,\frac{{76000}}{3}\pi } \right)\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (G3)</strong></em></p>
<p><strong>Note:</strong> Follow through from part (a).</p>
<p><em><strong>[4 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>h = H − r</em> (or equivalent) <em><strong>OR</strong></em> <em>H</em> = 110 − 2<em>r</em> <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for writing h in terms of <em>H</em> and <em>r</em> or for writing <em>H</em> in terms of <em>r</em>.</p>
<p>(<em>h</em> =) 110 <em>− </em>3<em>r <strong>(A1) (G2)</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\left( {V = } \right)\,\,\,\,\frac{2}{3}\pi {r^3} + \pi {r^2} \times \left( {110 - 3r} \right)\) <em><strong>(M1)</strong></em><em><strong>(M1)</strong></em><em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for volume of hemisphere, <em><strong>(M1)</strong></em> for correct substitution of their h into the volume of a cylinder, <em><strong>(M1)</strong></em> for addition of two correctly substituted volumes leading to the given answer. Award at most <em><strong>(M1)</strong></em><em><strong>(M1)</strong></em><em><strong>(M0)</strong></em> for subsequent working that does not lead to the given answer. Award at most <em><strong>(M1)</strong></em><em><strong>(M1)</strong></em><em><strong>(M0)</strong></em> for substituting <em>H</em> = 110 − 2<em>r</em> as their <em>h</em>.</p>
<p>\(V = 110\pi {r^2} - \frac{7}{3}\pi {r^3}\) <em><strong>(AG)</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(r =) 31.4 (cm) (31.4285… (cm)) <em><strong>(G2)</strong></em></p>
<p><strong>OR</strong></p>
<p>\(\left( \pi \right)\left( {220r - 7{r^2}} \right) = 0\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for setting the correct derivative equal to zero.</p>
<p>(r =) 31.4 (cm) (31.4285… (cm)) <em><strong>(A1)</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\left( {V = } \right)\,\,\,\,110\pi {\left( {31.4285 \ldots } \right)^3} - \frac{7}{3}\pi {\left( {31.4285 \ldots } \right)^3}\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution of their 31.4285… into the given equation.</p>
<p>= 114000 (113781…) <em><strong>(A1)</strong></em><strong>(ft)</strong></p>
<p><strong>Note: </strong>Follow through from part (e).</p>
<p>(increase in capacity =) \(\frac{{113.781 \ldots - 79587.0 \ldots }}{{79587.0 \ldots }} \times 100 = 43.0\,\,\left( {\text{% }} \right)\) <em><strong>(R1)</strong></em><strong>(ft)</strong></p>
<p><strong>Note:</strong> Award <em><strong>(R1)</strong></em><strong>(ft)</strong> for finding the correct percentage increase from their two volumes.</p>
<p><strong>OR</strong></p>
<p>1.4 × 79587.0… = 111421.81… <em><strong>(R1)</strong></em><strong>(ft)</strong></p>
<p><strong>Note:</strong> Award <em><strong>(R1)</strong></em><strong>(ft)</strong> for finding the capacity of a trash can 40% larger than the original.</p>
<p>Claim is correct <em><strong>(A1)</strong></em><strong>(ft)</strong></p>
<p><strong>Note:</strong> Follow through from parts (b), (e) and within part (f). The final <strong><em>(R1)(A1)</em>(ft)</strong> can be awarded for their correct reason and conclusion. Do not award <strong><em>(R0)(A1)</em>(ft)</strong>.</p>
<p><em><strong>[4 marks]</strong></em></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The diagram shows an office tower of total height 126 metres. It consists of a square based pyramid VABCD on top of a cuboid ABCDPQRS.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">V is directly above the centre of the base of the office tower.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The length of the sloping edge VC is 22.5 metres and the angle that VC makes with the base ABCD (angle VCA) is 53.1°.</span></p>
<p style="text-align: center;"><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the length of VA in metres.<br></span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Sketch the triangle VCA showing clearly the length of VC and the size of angle VCA.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that the height of the pyramid is 18.0 metres correct to 3 significant figures.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the length of AC in metres.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that the length of BC is 19.1 metres correct to 3 significant figures.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the volume of the tower.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>To calculate the cost of air conditioning, engineers must estimate the weight of air in the tower. They estimate that 90 % of the volume of the tower is occupied by air and they know that 1 m<sup>3</sup> of air weighs 1.2 kg.</span></p>
<p><span>Calculate the weight of air in the tower.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>22.5 (m) <em><strong> (A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><span><img alt="onbekend.png"></span><span><span> </span><strong><em>(A1)</em></strong></span></span></p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>h</em> = 22.5 sin 53.1° <em><strong>(M1)</strong></em></span><br><span>= 17.99<em><strong> (</strong><strong>A1)</strong></em></span><br><span>= 18.0 <em><strong>(AG)</strong></em> </span></p>
<p><span> </span></p>
<p><span><strong>Note:</strong> Unrounded answer must be seen for <em><strong>(A1)</strong></em> to be awarded.</span></p>
<p><span>Accept 18 as <em><strong>(AG)</strong></em>.</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{AC}} = 2\sqrt {{{22.5}^2} - {{17.99...}^2}} \) <em><strong>(M1)(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong> </em>for multiplying by 2, <em><strong>(M1)</strong></em> for correct</span><span> substitution into formula.</span></p>
<p><br><strong><span>OR</span></strong></p>
<p><span>AC = 2(22.5)cos53.1° <em><strong>(M1)(M1)</strong></em></span></p>
<p><br><span><strong>Notes:</strong> Award<em><strong> (M1)</strong></em> for correct use of cosine trig ratio,<em><strong> (M1)</strong></em> for</span> <span>multiplying by 2.</span></p>
<p><br><strong><span>OR</span></strong></p>
<p><span>AC<sup>2</sup> = 22.5</span><span><span><sup>2</sup></span> + 22.5</span><span><span><sup>2</sup></span> – 2(22.5)(22.5) cos73.8° <em><strong>(M1)(A1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award<em><strong> (M1)</strong> </em>for substituted cosine formula, <strong><em>(A1)</em></strong> for</span> <span>correct substitutions.</span></p>
<p><br><strong><span>OR</span></strong></p>
<p><span>\(\frac{{{\text{AC}}}}{{\sin (73.8^\circ )}} = \frac{{22.5}}{{\sin (53.1^\circ )}}\) </span><em><strong><span>(M1)(A1)</span></strong></em></p>
<p><span> </span></p>
<p><span><strong>Note:</strong> Award<em><strong> (M1)</strong> </em>for substituted sine formula, <em><strong>(A1)</strong></em> for correct</span> <span>substitutions.</span></p>
<p><br><span>AC = 27.0 <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><em><strong>[3 marks]</strong></em></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{BC}} = \sqrt {{{13.5}^2} + {{13.5}^2}} \) <em><strong>(M1)</strong></em></span></p>
<p><span>= 19.09 <em><strong>(A1)</strong></em></span></p>
<p><span>= 19.1 <em><strong> (AG)</strong></em></span></p>
<p><strong><span>OR</span></strong></p>
<p><span><em>x</em><sup>2</sup> + <em>x</em><sup>2</sup> = 27<sup>2</sup> <em><strong> (M1)</strong></em></span></p>
<p><span>2<em>x</em><sup>2</sup> = 27<sup>2</sup> <em><strong> (A1)</strong></em></span></p>
<p><span>BC = 19.09… <em><strong>(A1)</strong></em></span></p>
<p><span>= 19.1 <em><strong> (AG)</strong></em></span></p>
<p><span><strong> </strong></span></p>
<p><span><strong>Notes:</strong> Unrounded answer must be seen for<em><strong> (A1)</strong></em> to be awarded.</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Volume = Pyramid + Cuboid</span></p>
<p><span>\( = \frac{1}{3}(18)({19.1^2}) + (108)({19.1^2})\) <em><strong> (A1)(M1)(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award<em><strong> (A1)</strong></em> for 108, the height of the cuboid seen. Award <em><strong>(M1)</strong></em> for correctly substituted volume of cuboid and <em><strong>(M1)</strong></em> for correctly substituted volume of pyramid.</span></p>
<p><br><span>= \(41\,588\) <em>(41\(\,\)553 if</em> 2(13.5<sup>2</sup>) <em>is used)</em></span></p>
<p><span>= \(41\,600\) m<sup>3</sup> <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><span><em><strong>[4 marks]</strong></em></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Weight of air = \(41\,600 \times 1.2 \times 0.9\) <em><strong> (M1)(M1)</strong></em></span></p>
<p><span>= \(44\,900{\text{ kg}}\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span> </span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for their part (e) × 1.2,<em><strong> (M1)</strong></em> for × 0.9.</span></p>
<p><span>Award at most <em><strong>(M1)(M1)(A0)</strong> </em>if the volume of the cuboid</span> <span>is used.</span></p>
<p><span> </span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question also caused many problems for the candidature. There seems to be a lack of ability in visualising a problem in three dimensions – clearly, further exposure to such problems is needed by the students. Further, as in question 2, the final two parts of the question were independent of those preceding them; many candidates did not reach these parts, though for some, these were the only parts of the question attempted. There is also a lack of awareness of the appropriate volume formula on the formula sheet to use.</span></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">This question also caused many problems for the candidature. There seems to be a lack of ability in visualising a problem in three dimensions – clearly, further exposure to such problems is needed by the students. Further, as in question 2, the final two parts of the question were independent of those preceding them; many candidates did not reach these parts, though for some, these were the only parts of the question attempted. There is also a lack of awareness of the appropriate volume formula on the formula sheet to use.</span></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question also caused many problems for the candidature. There seems to be a lack of ability in visualising a problem in three dimensions – clearly, further exposure to such problems is needed by the students. Further, as in question 2, the final two parts of the question were independent of those preceding them; many candidates did not reach these parts, though for some, these were the only parts of the question attempted. There is also a lack of awareness of the appropriate volume formula on the formula sheet to use.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question also caused many problems for the candidature. There seems to be a lack of ability in visualising a problem in three dimensions – clearly, further exposure to such problems is needed by the students. Further, as in question 2, the final two parts of the question were independent of those preceding them; many candidates did not reach these parts, though for some, these were the only parts of the question attempted. There is also a lack of awareness of the appropriate volume formula on the formula sheet to use.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question also caused many problems for the candidature. There seems to be a lack of ability in visualising a problem in three dimensions – clearly, further exposure to such problems is needed by the students. Further, as in question 2, the final two parts of the question were independent of those preceding them; many candidates did not reach these parts, though for some, these were the only parts of the question attempted. There is also a lack of awareness of the appropriate volume formula on the formula sheet to use.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question also caused many problems for the candidature. There seems to be a lack of ability in visualising a problem in three dimensions – clearly, further exposure to such problems is needed by the students. Further, as in question 2, the final two parts of the question were independent of those preceding them; many candidates did not reach these parts, though for some, these were the only parts of the question attempted. There is also a lack of awareness of the appropriate volume formula on the formula sheet to use.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question also caused many problems for the candidature. There seems to be a lack of ability in visualising a problem in three dimensions – clearly, further exposure to such problems is needed by the students. Further, as in question 2, the final two parts of the question were independent of those preceding them; many candidates did not reach these parts, though for some, these were the only parts of the question attempted. There is also a lack of awareness of the appropriate volume formula on the formula sheet to use.</span></p>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Sketch the graph of <em>y</em> = 2<sup><em>x</em></sup> for \( - 2 \leqslant x \leqslant 3\). Indicate clearly where the curve intersects the <em>y</em>-axis.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">A, a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the equation of the asymptote of the graph of <em>y</em> = 2<sup><em>x</em></sup>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">A, b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>On the same axes sketch the graph of <em>y</em> = 3 + 2<em>x</em> − <em>x</em><sup>2</sup>. Indicate clearly where this curve intersects the <em>x</em> and <em>y</em> axes.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">A, c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Using your graphic display calculator, solve the equation 3 + 2<em>x</em> − <em>x</em><sup>2</sup> = 2<sup><em>x</em></sup>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">A, d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the maximum value of the function <em>f</em> (<em>x</em>) = 3 + 2<em>x</em> − <em>x</em><sup>2</sup>.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">A, e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use Differential Calculus to verify that your answer to (e) is correct.</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">A, f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The curve <em>y</em> = <em>px</em><sup>2</sup> + <em>qx</em> − 4 passes through the point (2, –10).</span></p>
<p><span>Use the above information to write down an equation in <em>p</em> and <em>q</em>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">B, a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The gradient of the curve \(y = p{x^2} + qx - 4\) at the point (2, –10) is 1.</span></p>
<p><span>Find \(\frac{{{\text{d}}y}}{{{\text{d}}x}}\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">B, b, i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The gradient of the curve \(y = p{x^2} + qx - 4\) at the point (2, –10) is 1.</span></p>
<p><span>Hence, find a second equation in <em>p</em> and <em>q</em>.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">B, b, ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The gradient of the curve \(y = p{x^2} + qx - 4\) at the point (2, –10) is 1.</span></p>
<p><span>Solve the equations to find the value of <em>p</em> and of <em>q</em>.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">B, c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><img src="data:image/png;base64,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" alt><span> <em><strong>(A1)(A1)(A1)</strong></em></span></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for correct domain, <em><strong>(A1)</strong></em> for smooth curve,</span> <span><em><strong>(A1)</strong></em> for <em>y</em>-intercept clearly indicated.</span></p>
<p><span> </span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">A, a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>y</em> = 0 <strong><em>(A1)(A1)</em></strong></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for <em>y</em> = constant, <em><strong>(A1)</strong></em> for 0.</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">A, b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for smooth parabola,</span></p>
<p><span><em><strong>(A1)</strong></em> for vertex (maximum) in correct quadrant.</span></p>
<p><span><em><strong>(A1)</strong></em> for all clearly indicated intercepts <em>x</em> = −1, <em>x</em> = 3 and <em>y</em> = 3.</span></p>
<p><span>The final mark is to be applied very strictly. <em><strong>(A1)(A1)(A1)</strong></em></span></p>
<p><span><em><strong> </strong></em></span></p>
<p><span><em><strong>[3 marks]</strong></em></span></p>
<div class="question_part_label">A, c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>x</em> = −0.857 <em>x</em> = 1.77 <em><strong>(G1)(G1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award a maximum of <em><strong>(G1)</strong></em> if <em>x</em> and <em>y</em> coordinates are both given.</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">A, d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>4 <em><strong>(G1)</strong></em> </span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(G0)</strong></em> for (1, 4).</span></p>
<p><span> </span></p>
<p><em><strong><span>[1 mark]</span></strong></em></p>
<div class="question_part_label">A, e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(f'(x) = 2 - 2x\) <em><strong>(A1)(A1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for each correct term.</span></p>
<p><span>Award at most <em><strong>(A1)(A0)</strong></em> if any extra terms seen.</span></p>
<p><br><span>\(2 - 2x = 0\) <em><strong>(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for equating their gradient function to zero.</span></p>
<p><br><span>\(x = 1\) <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span>\(f (1) = 3 + 2(1) - (1)^2 = 4\) <em><strong>(A1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> The final <em><strong>(A1)</strong></em> is for substitution of <em>x</em> = 1 into \(f (x)\) and subsequent correct </span><span>answer. Working must be seen for final <em><strong>(A1)</strong></em> to be awarded.</span></p>
<p><span> </span></p>
<p><em><strong><span>[5 marks]</span></strong></em></p>
<div class="question_part_label">A, f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>2<sup>2</sup> × <em>p</em> + 2<em>q</em> − 4 = </span><span><span>−</span>10 <em><strong>(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in the equation.</span></p>
<p><br><span>4<em>p</em> + 2<em>q</em> = </span><span><span>−</span>6 or 2<em>p</em> + <em>q</em> = </span><span><span>−</span>3 <em><strong>(A1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Accept equivalent simplified forms.</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">B, a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{{\text{d}}y}}{{{\text{d}}x}} = 2px + q\) <em><strong>(A1)(A1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for each correct term.</span></p>
<p><span>Award at most <em><strong>(A1)(A0)</strong></em> if any extra terms seen.<br></span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">B, b, i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>4<em>p </em>+<em> q</em> = 1 <strong><em>(A1)</em>(ft)</strong></span></p>
<p><span><em><strong>[1 mark]</strong></em></span></p>
<div class="question_part_label">B, b, ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>4<em>p</em> + 2<em>q</em> = −6<br></span></p>
<p><span>4<em>p</em> + <em>q</em> = 1 <em><strong>(M1)</strong></em></span></p>
<p><span><br><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for sensible attempt to solve the equations.</span></p>
<p><span><br><em>p</em> = 2, <em>q</em> = </span><span><span>−</span>7 <em><strong>(A1)(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><span><em><strong>[3 marks]</strong></em></span></p>
<div class="question_part_label">B, c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Undoubtedly, this question caused the most difficulty in terms of its content. Where there was no alternative to using the calculus, the majority of candidates struggled. However, for those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The most common error was using the incorrect domain.</span></p>
<div class="question_part_label">A, a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Undoubtedly, this question caused the most difficulty in terms of its content. Where there was no alternative to using the calculus, the majority of candidates struggled. However, for those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Many had little idea of asymptotes. Others did not write their answer as an equation.</span></p>
<div class="question_part_label">A, b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Undoubtedly, this question caused the most difficulty in terms of its content. Where there was no alternative to using the calculus, the majority of candidates struggled. However, for those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The intercepts being inexact or unlabelled was the most frequent cause of loss of marks.</span></p>
<div class="question_part_label">A, c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Undoubtedly, this question caused the most difficulty in terms of its content. Where there was no alternative to using the calculus, the majority of candidates struggled. However, for those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Often, only one solution to the equation was given. Elsewhere, a lack of appreciation that the solutions were the <em>x</em> coordinates was a common mistake.</span></p>
<div class="question_part_label">A, d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Undoubtedly, this question caused the most difficulty in terms of its content. Where there was no alternative to using the calculus, the majority of candidates struggled. However, for those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The maximum is the<em> y</em> coordinate only; again a common misapprehension was the answer “(1, 4)”.</span></p>
<div class="question_part_label">A, e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Undoubtedly, this question caused the most difficulty in terms of its content. Where there was no alternative to using the calculus, the majority of candidates struggled. However, for those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">This was a major discriminator in the paper. Many candidates were unable to follow the analytic approach to finding a maximum point.</span></p>
<div class="question_part_label">A, f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Undoubtedly, this question caused the most difficulty in terms of its content. Where there was no alternative to using the calculus, the majority of candidates struggled. However, for those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">This part was challenging to the majority, with a large number not attempting the question at all. However, there were a pleasing number of correct attempts that showed a fine understanding of the calculus.</span></p>
<div class="question_part_label">B, a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Undoubtedly, this question caused the most difficulty in terms of its content. Where there was no alternative to using the calculus, the majority of candidates struggled. However, for those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">This part was challenging to the majority, with a large number not attempting the question at all. However, there were a pleasing number of correct attempts that showed a fine understanding of the calculus.</span></p>
<div class="question_part_label">B, b, i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;">Undoubtedly, this question caused the most difficulty in terms of its content. Where there was no alternative to using the calculus, the majority of candidates struggled. However, for those with a sound grasp of the topic, there were many very successful attempts.</p>
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;">This part was challenging to the majority, with a large number not attempting the question at all. However, there were a pleasing number of correct attempts that showed a fine understanding of the calculus.</p>
<div class="question_part_label">B, b, ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Undoubtedly, this question caused the most difficulty in terms of its content. Where there was no alternative to using the calculus, the majority of candidates struggled. However, for those with a sound grasp of the topic, there were many very successful attempts.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">This part was challenging to the majority, with a large number not attempting the question at all. However, there were a pleasing number of correct attempts that showed a fine understanding of the calculus.</span></p>
<div class="question_part_label">B, c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A shipping container is to be made with six rectangular faces, as shown in the diagram.</span></p>
<p> </p>
<p> </p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,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" alt></span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The dimensions of the container are</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">length 2<em>x</em></span><br><span style="font-size: medium; font-family: times new roman,times;">width <em>x</em></span><br><span style="font-size: medium; font-family: times new roman,times;">height <em>y</em>.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">All of the measurements are in metres. The total length of all twelve edges is 48 metres.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that <em>y</em> =12 − 3<em>x </em>.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that the volume <em>V</em> m<sup>3</sup> of the container is given by</span></p>
<p><span><em>V</em> = 24<em>x</em><sup>2</sup> − 6<em>x</em><sup>3</sup></span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find \( \frac{{\text{d}V}}{{\text{d}x}}\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the value of <em>x</em> for which <em>V</em> is a maximum.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the maximum volume of the container.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the length and height of the container for which the volume is a maximum.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The shipping container is to be painted. One litre of paint covers an area of 15 m<sup>2</sup> .</span> <span>Paint comes in tins containing four litres.</span></p>
<p><span>Calculate the number of tins required to paint the shipping container.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(4(2x) + 4y + 4x = 48\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for setting up the equation.</span></p>
<p><br><span>\(12x + 4y = 48\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for simplifying (can be implied).</span></p>
<p><br><span>\(y = \frac{{48 - 12x}}{{4}}\)</span> <span> </span><span> <strong>OR</strong> \(3x + y =12\) <em><strong>(A1)</strong></em></span></p>
<p><span>\(y =12 - 3x\) <em><strong>(AG)</strong></em></span></p>
<p><span><strong>Note:</strong> The last line must be seen for the <em><strong>(A1)</strong></em> to be awarded.</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(V = 2x \times x \times (12 - 3x)\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into volume equation, <em><strong>(A1)</strong></em> for correct substitution.</span></p>
<p><br><span>\(= 24x^2 - 6x^3\) <em><strong>(AG)</strong></em></span></p>
<p><span><strong>Note:</strong> The last line must be seen for the <em><strong>(A1)</strong></em> to be awarded.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{\text{d}V}}{{\text{d}x}} = 48x - 18x^2\) <em><strong>(A1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for each correct term.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(48x -18x^2 = 0\) <em><strong>(M1)(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for using their derivative, <em><strong>(M1)</strong></em> for equating their answer to part (c) to 0.</span></p>
<p><br><span><strong>OR</strong></span></p>
<p><span><em><strong>(M1)</strong></em> for sketch of \(V = 24x^2 - 6x^3\), <em><strong>(M1)</strong></em> for the maximum point indicated <em><strong>(M1)(M1)</strong></em></span></p>
<p><span><strong>OR</strong></span></p>
<p><span><em><strong>(M1)</strong></em> for sketch of \(\frac{{\text{d}V}}{{\text{d}x}} = 48x - 18x^2\), <em><strong>(M1)</strong></em> for the positive root indicated <em><strong>(M1)(M1)</strong></em></span></p>
<p><span>\(2.67\left( {\frac{{24}}{9},{\text{ }}\frac{8}{3},{\text{ }}2.66666...} \right)\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Follow through from their part (c).</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(V = 24 \times {\left( {\frac{8}{3}} \right)^2} - 6 \times {\left( {\frac{8}{3}} \right)^3}\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution of their value from part (d) into volume equation.</span></p>
<p><br><span>\(56.9({{\text{m}}^3})\left( {\frac{{512}}{9},{\text{ }}56.8888...} \right)\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Follow through from their answer to part (d).</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\text{length} = \frac{{16}}{{3}}\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G1)</strong></em></span></p>
<p><span><strong>Note:</strong> Follow through from their answer to part (d). Accept 5.34 from use of 2.67</span></p>
<p><br><span>\(\text{height} = 12 - 3 \times \left( {\frac{{8}}{{3}}} \right) = 4\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for substitution of their answer to part (d), <em><strong>(A1)</strong></em><strong>(ft)</strong> for answer. Accept 3.99 from use of 2.67.</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\text{SA} = 2 \times \frac{{16}}{{3}} \times 4 + 2 \times \frac{{8}}{{3}} \times 4 + 2 \times \frac{{16}}{{3}} \times \frac{{8}}{{3}}\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>OR</strong></span></p>
<p><span>\(\text{SA} = 4 \left( {\frac{{8}}{{3}}}\right)^2 + 6 \times \frac{{8}}{{3}} \times 4\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution of their values from parts (d) and (f) into formula for surface area.</span></p>
<p><br><span>92.4 (m<sup>2</sup>) (92.4444...(m<sup>2</sup>)) <em><strong>(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Accept 92.5 (92.4622...) from use of 3 sf answers.</span></p>
<p><span><br>\(\text{Number of tins} = \frac{{92.4444...}}{{15 \times 4}}( = 1.54)\) <em><strong>(M1)</strong></em></span></p>
<p><span><em><strong>[4 marks]<br></strong></em></span></p>
<p><span><em><strong> </strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for division of their surface area by 60.</span></p>
<p><br><span>2 tins required <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong>Note:</strong> Follow through from their answers to parts (d) and (f).</span></p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates did not answer this question at all and others did not get past part (c). It was</span> <span style="font-size: medium; font-family: times new roman,times;">unclear if this was because they could not do the question or they ran out of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">(a) This was very poorly done. Most candidates had no idea what they were supposed to </span><span style="font-size: medium; font-family: times new roman,times;">do here. Many tried to find values for <em>x</em>.</span></p>
<p> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates did not answer this question at all and others did not get past part (c). It was</span> <span style="font-size: medium; font-family: times new roman,times;">unclear if this was because they could not do the question or they ran out of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">(a) This was very poorly done. Most candidates had no idea what they were supposed to </span><span style="font-size: medium; font-family: times new roman,times;">do here. Many tried to find values for <em>x</em>.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">(b) Similar comment as for part (a) although more candidates made an attempt at finding </span><span style="font-size: medium; font-family: times new roman,times;">the Volume.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates did not answer this question at all and others did not get past part (c). It was</span> <span style="font-size: medium; font-family: times new roman,times;">unclear if this was because they could not do the question or they ran out of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">(c) This part was very well done.</span></p>
<p> </p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates did not answer this question at all and others did not get past part (c). It was</span> <span style="font-size: medium; font-family: times new roman,times;">unclear if this was because they could not do the question or they ran out of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">(d) Not many correct answers seen. Many candidates graphed the wrong equation and </span><span style="font-size: medium; font-family: times new roman,times;">found 1.333 as their answer.</span></p>
<p> </p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates did not answer this question at all and others did not get past part (c). It was</span> <span style="font-size: medium; font-family: times new roman,times;">unclear if this was because they could not do the question or they ran out of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">(e) Some managed to gain follow through marks for this part.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates did not answer this question at all and others did not get past part (c). It was</span> <span style="font-size: medium; font-family: times new roman,times;">unclear if this was because they could not do the question or they ran out of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">(f) Again here follow through marks were gained by those who attempted it.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates did not answer this question at all and others did not get past part (c). It was</span> <span style="font-size: medium; font-family: times new roman,times;">unclear if this was because they could not do the question or they ran out of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">(g) Very few correct answers for the surface area were seen. Most candidates thought </span><span style="font-size: medium; font-family: times new roman,times;">that there were 4 equal faces 2 <em>xy</em> and 2 faces <em>xy</em>. Some managed to get follow</span> <span style="font-size: medium; font-family: times new roman,times;">through marks for the last part if they divided by 60.</span></p>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Beartown has three local newspapers: <em>The Art Journal</em>, <em>The Beartown News</em>, and <em>The Currier</em>.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">A survey shows that</span></p>
<p style="margin-left: 30px;"><span style="font-size: medium; font-family: times new roman,times;">32 % of the town’s population read <em>The Art Journal</em>,</span></p>
<p style="margin-left: 30px;"><span style="font-size: medium; font-family: times new roman,times;">46 % read <em>The Beartown News</em>,</span></p>
<p style="margin-left: 30px;"><span style="font-size: medium; font-family: times new roman,times;">54 % read <em>The Currier</em>,</span></p>
<p style="margin-left: 30px;"><span style="font-size: medium; font-family: times new roman,times;">3 % read <em>The Art Journal</em> and <em>The Beartown News</em> <strong>only</strong>,</span></p>
<p style="margin-left: 30px;"><span style="font-size: medium; font-family: times new roman,times;">8 % read <em>The Art Journal</em> and <em>The Currier</em> <strong>only</strong>,</span></p>
<p style="margin-left: 30px;"><span style="font-size: medium; font-family: times new roman,times;">12 % read <em>The Beartown News</em> and <em>The Currier</em> <strong>only</strong>, and</span></p>
<p style="margin-left: 30px;"><span style="font-size: medium; font-family: times new roman,times;">5 % of the population reads <strong>all</strong> three newspapers.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Draw a Venn diagram to represent this information. Label<em> A</em> the set that represents <em>The Art Journal</em> readers, <em>B</em> the set that represents <em>The Beartown News</em> readers, and <em>C</em> the set that represents <em>The Currier</em> readers.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the percentage of the population that does not read any of the three newspapers.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the percentage of the population that reads exactly one newspaper.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the percentage of the population that reads <em>The Art Journal</em> or <em>The Beartown News</em> but not <em>The Currier</em>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>A local radio station states that 83 % of the population reads either <em>The Beartown News</em> or <em>The Currier</em>.</span></p>
<p><span>Use your Venn diagram to decide whether the statement is true. Justify your answer.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The population of Beartown is 120 000. The local radio station claimed that 34 000 of the town’s citizens read at least two of the local newspapers.</span></p>
<p><span>Find the percentage error in this claim.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><img 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" alt></span></p>
<p><span><em><strong>(A1)</strong></em> for three circles and a rectangle (<em>U</em> need not be seen)</span></p>
<p><span><em><strong>(A1)</strong></em> for 5</span></p>
<p><span><em><strong>(A1)</strong></em> for 3, 8 and 12</span></p>
<p><span><em><strong>(A1)</strong></em> for 16, 26 and 29 <strong>OR</strong> 32, 46, 54 placed outside the circles. <em><strong>(A4)</strong></em></span></p>
<p><span><strong>Note:</strong> Accept answers given as decimals or fractions.</span></p>
<p><span><em><strong>[4 marks]</strong></em><br></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>100 – (16 + 26 + 29) – (8 + 5 + 3 + 12) <em><strong>(M1)</strong></em></span></p>
<p><span>100 – 71 – 28</span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct expression. Accept equivalent expressions, for example 100 – 71 – 28 or 100 – (71 + 28).</span></p>
<p> </p>
<p><span>= 1 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em> </span></p>
<p><span><strong>Note:</strong> Follow through from their Venn diagram but only if working is seen.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>16 + 26 + 29 <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for 16, 26, 29 seen.</span></p>
<p> </p>
<p><span>= 71 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em> </span></p>
<p><span><strong>Note:</strong> Follow through from their Venn diagram but only if working is seen.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>16 + 3 + 26 <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for their 16, 3, 26 seen.</span></p>
<p><br><span>= 45 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Follow through from their Venn diagram but only if working is seen.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>True <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span>100 – (1 –16) = 83 <em><strong>(R1)</strong></em><strong>(ft)</strong></span></p>
<p><strong><span>OR</span></strong></p>
<p><span>46 + 54 – 17 = 83 <em><strong>(R1)</strong></em><strong>(ft)</strong> </span></p>
<p><span><strong>Note:</strong> Do not award <em><strong>(A1)(R0)</strong></em>. Follow through from their Venn diagram.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>28% of 120000 <em><strong>(M1)</strong></em></span></p>
<p><span>= 33600 <em><strong>(A1)</strong></em></span></p>
<p><span>\({\text{% error}} = \frac{{(34000 - 33600)}}{{33600}} \times 100\)</span><span> </span><span> <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for 28 seen (may be implied by 33600 seen),</span> <span>award <em><strong>(M1)</strong></em> for correct substitution of <strong>their</strong> 33600 in the percentage </span><span>error formula. If an error is made in calculating 33600 award a</span> <span>maximum of <em><strong>(M1)(A0)(M1)(A0)</strong></em>, the final accuracy mark is lost.</span></p>
<p><span> </span></p>
<p><strong><span>OR</span></strong></p>
<p><span>\(\frac{{34000}}{{120000}} \times 100\)</span> <span> <em><strong>(M1)</strong></em></span></p>
<p><span>= 28.3(28.3333…) <em><strong>(A1)</strong></em></span></p>
<p><span>\({\text{% error}} = \frac{{(28.3333... - 28)}}{{28}} \times 100\)</span> <span> <em><strong>(M1)</strong></em></span></p>
<p><span>= 1.19% (1.19047...) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><span><strong>Note:</strong> % sign not required. Accept 1.07 (1.0714…) with use of 28.3.</span> <span>1.18 with use of 28.33 and 1.19 with use of 28.333.</span> <span>Award <em><strong>(G3)</strong></em> for 1.07, 1.18 or 1.19 seen without working.</span></p>
<p><span><em><strong>[4 marks]</strong></em><br></span></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was accessible to the great majority of candidates. The common errors were:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">the lack of a bounding rectangle in (a);</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">the lack of subtraction for the entries in the disjoint regions of the type \(A' \cap B' \cap C\) </span><span style="font-size: medium; font-family: times new roman,times;">and the subsequent total exceeding 100%;</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">the <strong>incorrect</strong> interpretation of “either ...or” as “exclusive or”. It is of the utmost </span><span style="font-size: medium; font-family: times new roman,times;">importance to note that the ambiguity of the “or” statement will be removed and </span><span style="font-size: medium; font-family: times new roman,times;">“exclusive or” signalled by the phrase “either ...or....<strong>but not both</strong>”. Otherwise, </span><span style="font-size: medium; font-family: times new roman,times;">“inclusive or” must always be assumed.</span></li>
</ul>
<p><span style="font-size: medium; font-family: times new roman,times;">A number of candidates were unable to interpret the percentage error question correctly and </span><span style="font-size: medium; font-family: times new roman,times;">scored 0/4. This was somewhat disappointing.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was accessible to the great majority of candidates. The common errors were:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">the lack of a bounding rectangle in (a);</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">the lack of subtraction for the entries in the disjoint regions of the type \(A' \cap B' \cap C\) </span><span style="font-size: medium; font-family: times new roman,times;">and the subsequent total exceeding 100%;</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">the <strong>incorrect</strong> interpretation of “either ...or” as “exclusive or”. It is of the utmost </span><span style="font-size: medium; font-family: times new roman,times;">importance to note that the ambiguity of the “or” statement will be removed and </span><span style="font-size: medium; font-family: times new roman,times;">“exclusive or” signalled by the phrase “either ...or....<strong>but not both</strong>”. Otherwise, </span><span style="font-size: medium; font-family: times new roman,times;">“inclusive or” must always be assumed.</span></li>
</ul>
<p><span style="font-size: medium; font-family: times new roman,times;">A number of candidates were unable to interpret the percentage error question correctly and </span><span style="font-size: medium; font-family: times new roman,times;">scored 0/4. This was somewhat disappointing.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was accessible to the great majority of candidates. The common errors were:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">the lack of a bounding rectangle in (a);</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">the lack of subtraction for the entries in the disjoint regions of the type \(A' \cap B' \cap C\) </span><span style="font-size: medium; font-family: times new roman,times;">and the subsequent total exceeding 100%;</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">the <strong>incorrect</strong> interpretation of “either ...or” as “exclusive or”. It is of the utmost </span><span style="font-size: medium; font-family: times new roman,times;">importance to note that the ambiguity of the “or” statement will be removed and</span><span style="font-size: medium; font-family: times new roman,times;">“exclusive or” signalled by the phrase “either ...or....<strong>but not both</strong>”. Otherwise, </span><span style="font-size: medium; font-family: times new roman,times;">“inclusive or” must always be assumed.</span></li>
</ul>
<p><span style="font-size: medium; font-family: times new roman,times;">A number of candidates were unable to interpret the percentage error question correctly and </span><span style="font-size: medium; font-family: times new roman,times;">scored 0/4. This was somewhat disappointing.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was accessible to the great majority of candidates. The common errors were:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">the lack of a bounding rectangle in (a);</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">the lack of subtraction for the entries in the disjoint regions of the type \(A' \cap B' \cap C\) </span><span style="font-size: medium; font-family: times new roman,times;">and the subsequent total exceeding 100%;</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">the <strong>incorrect</strong> interpretation of “either ...or” as “exclusive or”. It is of the utmost </span><span style="font-size: medium; font-family: times new roman,times;">importance to note that the ambiguity of the “or” statement will be removed and </span><span style="font-size: medium; font-family: times new roman,times;">“exclusive or” signalled by the phrase “either ...or....<strong>but not both</strong>”. Otherwise, </span><span style="font-size: medium; font-family: times new roman,times;">“inclusive or” must always be assumed.</span></li>
</ul>
<p><span style="font-size: medium; font-family: times new roman,times;">A number of candidates were unable to interpret the percentage error question correctly and </span><span style="font-size: medium; font-family: times new roman,times;">scored 0/4. This was somewhat disappointing.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was accessible to the great majority of candidates. The common errors were:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">the lack of a bounding rectangle in (a);</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">the lack of subtraction for the entries in the disjoint regions of the type \(A' \cap B' \cap C\) </span><span style="font-size: medium; font-family: times new roman,times;">and the subsequent total exceeding 100%;</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">the <strong>incorrect</strong> interpretation of “either ...or” as “exclusive or”. It is of the utmost </span><span style="font-size: medium; font-family: times new roman,times;">importance to note that the ambiguity of the “or” statement will be removed and </span><span style="font-size: medium; font-family: times new roman,times;">“exclusive or” signalled by the phrase “either ...or....<strong>but not both</strong>”. Otherwise, </span><span style="font-size: medium; font-family: times new roman,times;">“inclusive or” must always be assumed.</span></li>
</ul>
<p><span style="font-size: medium; font-family: times new roman,times;">A number of candidates were unable to interpret the percentage error question correctly and </span><span style="font-size: medium; font-family: times new roman,times;">scored 0/4. This was somewhat disappointing.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was accessible to the great majority of candidates. The common errors were:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">the lack of a bounding rectangle in (a);</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">the lack of subtraction for the entries in the disjoint regions of the type \(A' \cap B' \cap C\) </span><span style="font-size: medium; font-family: times new roman,times;">and the subsequent total exceeding 100%;</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">the <strong>incorrect</strong> interpretation of “either ...or” as “exclusive or”. It is of the utmost </span><span style="font-size: medium; font-family: times new roman,times;">importance to note that the ambiguity of the “or” statement will be removed and</span><span style="font-size: medium; font-family: times new roman,times;">“exclusive or” signalled by the phrase “either ...or....<strong>but not both</strong>”. Otherwise, </span><span style="font-size: medium; font-family: times new roman,times;">“inclusive or” must always be assumed.</span></li>
</ul>
<p><span style="font-size: medium; font-family: times new roman,times;">A number of candidates were unable to interpret the percentage error question correctly and </span><span style="font-size: medium; font-family: times new roman,times;">scored 0/4. This was somewhat disappointing.</span></p>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A chocolate bar has the shape of a triangular right prism ABCDEF as shown in the diagram. The ends are equilateral triangles of side 6 cm and the length of the chocolate bar is 23 cm.</span></p>
<p style="text-align: center;"><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the size of angle BAF.<br></span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a, i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Hence or otherwise find the area of the triangular end of the chocolate bar.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a, ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the total surface area of the chocolate bar.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>It is known that 1 cm<sup>3</sup> of this chocolate weighs 1.5 g. Calculate the weight of the chocolate bar.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>A different chocolate bar made with the same mixture also has the shape of a triangular prism. The ends are triangles with sides of length 4 cm, 6 cm and 7 cm.</span></p>
<p><span>Show that the size of the angle between the sides of 6 cm and 4 cm is 86.4° correct to 3 significant figures.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The weight of this chocolate bar is 500 g. Find its length.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>60° <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">a, i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong><em>Unit penalty (UP) applies in this part</em></strong></span></p>
<p><span><strong><em> </em></strong></span></p>
<p><span>\({\text{Area}} = \frac{{6 \times 6 \times \sin 60^\circ }}{2}\) <strong><em>(M1)(A1)</em></strong></span></p>
<p><span><strong><em>(UP)</em></strong> = 15.6 cm<sup><span>2</span></sup> \((9 \sqrt{3})\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p><span><strong><em> </em></strong></span></p>
<p><span><strong>Note:</strong> Award <strong><em>(M1)</em></strong> for substitution into correct formula, <strong><em>(A1)</em></strong> for correct values. Accept alternative correct methods.</span></p>
<p><span> </span></p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">a, ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong><em>Unit penalty (UP) applies in this part</em></strong></span></p>
<p><span><strong><em> </em></strong></span></p>
<p><span>\({\text{Surface Area}} =15.58 \times 2 + 23 \times 6 \times 3\) <em><strong>(M1)(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for two terms with 2 and 3 respectively, <em><strong>(M1)</strong></em> for \(23 \times 6\) (138).</span></p>
<p><br><span><em><strong>(UP)</strong></em> Surface Area = 445 cm<sup>2</sup> <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><em><strong>[3 marks]</strong></em></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong><em>Unit penalty (UP) applies in this part</em></strong></span></p>
<p><span><strong><em> </em></strong></span></p>
<p><span>\({\text{weight}} = 1.5 \times 15.59 \times 23\) <em><strong>(M1)(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for finding the volume, <em><strong>(M1)</strong></em> for multiplying their volume by 1.5.</span></p>
<p><br><span><em><strong>(UP)</strong></em> weight = 538 g <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><span><em><strong>[3 marks]</strong></em></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\cos \alpha = \frac{{{4^2} + {6^2} - {7^2}}}{{2 \times 4 \times 6}}\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for using cosine rule with values from the problem,</span> <span><em><strong>(A1)</strong></em> for correct substitution.</span></p>
<p><br><span>\(\alpha = 86.41…\) <em><strong>(A1)</strong></em></span></p>
<p><span><span>\(\alpha = 86.4^{\circ}\) </span> <em><strong>(AG)</strong></em> </span></p>
<p><strong><em> </em></strong></p>
<p><span><strong>Note:</strong> 86.41… must be seen for final <em><strong>(A1)</strong></em> to be awarded.</span></p>
<p><span> </span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong><em>Unit penalty (UP) applies in this part</em></strong></span></p>
<p><span><strong><em> </em></strong></span></p>
<p><span>\(l \times \frac{{4 \times 6 \times \sin 86.4^\circ }}{2} \times 1.5 = 500\) <em><strong>(M1)(A1)(M1)</strong></em></span></p>
<p><br><span><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for finding an expression for the volume, <em><strong>(A1)</strong></em> for correct substitution, <em><strong>(M1)</strong></em> for multiplying the volume by 1.5 and equating to 500, or for equating the volume to \(\frac{500}{1.5}\).</span></span></p>
<p><span><span>If formula for volume is not correct but consistent with that in</span> <span>(c) award at most <em><strong>(M1)(A0)</strong></em><strong>(ft)</strong><em><strong>(M1)(A0)</strong></em>.</span></span></p>
<p><br><span><em><strong>(UP) </strong></em> <em>l</em> = 27.8 cm <em><strong>(A1)(G3)</strong></em></span></p>
<p><span><em><strong>[4 marks]</strong></em></span></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">It was pleasing to show candidate working throughout this question. Follow through marks </span><span style="font-size: medium; font-family: times new roman,times;">could be awarded when incorrect answers were given. Many candidates incorrectly calculated </span><span style="font-size: medium; font-family: times new roman,times;">the weight of the chocolate bar by multiplying the surface area by 1.5<em>g</em>. Also a large number </span><span style="font-size: medium; font-family: times new roman,times;">of students incorrectly used the formula for the volume of a pyramid rather than for a prism.</span> <span style="font-size: medium; font-family: times new roman,times;">Most candidates were successful in their use of the cosine rule but did not give the answer </span><span style="font-size: medium; font-family: times new roman,times;">before it was rounded to 86.4, resulting in the loss of the final <em>A</em> mark. The last part acted as </span><span style="font-size: medium; font-family: times new roman,times;">a clear discriminator, very few students were able to find the correct length of the new </span><span style="font-size: medium; font-family: times new roman,times;">chocolate bar. Most students used units correctly.</span></p>
<div class="question_part_label">a, i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">It was pleasing to show candidate working throughout this question. Follow through marks could be awarded when incorrect answers were given. Many candidates incorrectly calculated the weight of the chocolate bar by multiplying the surface area by 1.5<em>g</em>. Also a large number of students incorrectly used the formula for the volume of a pyramid rather than for a prism.Most candidates were successful in their use of the cosine rule but did not give the answer before it was rounded to 86.4, resulting in the loss of the final <em>A</em> mark. The last part acted as a clear discriminator, very few students were able to find the correct length of the new chocolate bar. Most students used units correctly.</span></p>
<div class="question_part_label">a, ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">It was pleasing to show candidate working throughout this question. Follow through marks </span><span style="font-size: medium; font-family: times new roman,times;">could be awarded when incorrect answers were given. Many candidates incorrectly calculated </span><span style="font-size: medium; font-family: times new roman,times;">the weight of the chocolate bar by multiplying the surface area by 1.5<em>g</em>. Also a large number </span><span style="font-size: medium; font-family: times new roman,times;">of students incorrectly used the formula for the volume of a pyramid rather than for a prism.</span> <span style="font-size: medium; font-family: times new roman,times;">Most candidates were successful in their use of the cosine rule but did not give the answer </span><span style="font-size: medium; font-family: times new roman,times;">before it was rounded to 86.4, resulting in the loss of the final <em>A</em> mark. The last part acted as </span><span style="font-size: medium; font-family: times new roman,times;">a clear discriminator, very few students were able to find the correct length of the new </span><span style="font-size: medium; font-family: times new roman,times;">chocolate bar. Most students used units correctly.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">It was pleasing to show candidate working throughout this question. Follow through marks </span><span style="font-size: medium; font-family: times new roman,times;">could be awarded when incorrect answers were given. Many candidates incorrectly calculated </span><span style="font-size: medium; font-family: times new roman,times;">the weight of the chocolate bar by multiplying the surface area by 1.5<em>g</em>. Also a large number </span><span style="font-size: medium; font-family: times new roman,times;">of students incorrectly used the formula for the volume of a pyramid rather than for a prism.</span> <span style="font-size: medium; font-family: times new roman,times;">Most candidates were successful in their use of the cosine rule but did not give the answer </span><span style="font-size: medium; font-family: times new roman,times;">before it was rounded to 86.4, resulting in the loss of the final <em>A</em> mark. The last part acted as </span><span style="font-size: medium; font-family: times new roman,times;">a clear discriminator, very few students were able to find the correct length of the new </span><span style="font-size: medium; font-family: times new roman,times;">chocolate bar. Most students used units correctly.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">It was pleasing to show candidate working throughout this question. Follow through marks </span><span style="font-size: medium; font-family: times new roman,times;">could be awarded when incorrect answers were given. Many candidates incorrectly calculated </span><span style="font-size: medium; font-family: times new roman,times;">the weight of the chocolate bar by multiplying the surface area by 1.5<em>g</em>. Also a large number </span><span style="font-size: medium; font-family: times new roman,times;">of students incorrectly used the formula for the volume of a pyramid rather than for a prism.</span> <span style="font-size: medium; font-family: times new roman,times;">Most candidates were successful in their use of the cosine rule but did not give the answer </span><span style="font-size: medium; font-family: times new roman,times;">before it was rounded to 86.4, resulting in the loss of the final <em>A</em> mark. The last part acted as </span><span style="font-size: medium; font-family: times new roman,times;">a clear discriminator, very few students were able to find the correct length of the new </span><span style="font-size: medium; font-family: times new roman,times;">chocolate bar. Most students used units correctly.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">It was pleasing to show candidate working throughout this question. Follow through marks </span><span style="font-size: medium; font-family: times new roman,times;">could be awarded when incorrect answers were given. Many candidates incorrectly calculated </span><span style="font-size: medium; font-family: times new roman,times;">the weight of the chocolate bar by multiplying the surface area by 1.5<em>g</em>. Also a large number </span><span style="font-size: medium; font-family: times new roman,times;">of students incorrectly used the formula for the volume of a pyramid rather than for a prism.</span> <span style="font-size: medium; font-family: times new roman,times;">Most candidates were successful in their use of the cosine rule but did not give the answer </span><span style="font-size: medium; font-family: times new roman,times;">before it was rounded to 86.4, resulting in the loss of the final <em>A</em> mark. The last part acted as </span><span style="font-size: medium; font-family: times new roman,times;">a clear discriminator, very few students were able to find the correct length of the new </span><span style="font-size: medium; font-family: times new roman,times;">chocolate bar. Most students used units correctly.</span></p>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Pauline owns a piece of land ABCD in the shape of a quadrilateral. The length of BC is \(190{\text{ m}}\) , the length of CD is </span><span style="font-family: times new roman,times; font-size: medium;"><span style="font-family: times new roman,times; font-size: medium;">\(120{\text{ m}}\)</span> , the length of AD is </span><span style="font-family: times new roman,times; font-size: medium;"><span style="font-family: times new roman,times; font-size: medium;">\(70{\text{ m}}\)</span> , the size of angle BCD is \({75^ \circ }\) and the size of angle BAD is \({115^ \circ }\) .</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img 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" alt></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Pauline decides to sell the triangular portion of land ABD . She first builds a straight fence from B to D .</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the length of the fence.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The fence costs \(17\) USD per metre to build. </span></p>
<p><span>Calculate the cost of building the fence. Give your answer correct to the </span><span>nearest USD.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that the size of angle ABD is \({18.8^ \circ }\) , correct to three significant figures.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the area of triangle ABD .</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>She sells the land for \(120\) USD per square metre. </span></p>
<p><span>Calculate the value of the land that Pauline sells. Give your answer correct </span><span>to the nearest USD.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Pauline invests \(300 000\) USD from the sale of the land in a bank that pays compound interest compounded annually. </span></p>
<p><span>Find the interest rate that the bank pays so that the investment will double in value in 15 years.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{B}}{{\text{D}}^2} = {190^2} + {120^2} - 2(190)(120)\cos {75^ \circ }\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substituted cosine formula, <em><strong>(A1)</strong></em> for correct substitution.</span></p>
<p> </p>
<p><span>\(= 197\) m <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> If radians are used award a maximum of <em><strong>(M1)(A1)(A0)</strong></em>.</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{cost}} = 196.717 \ldots \times 17\) <em><strong>(M1)</strong></em></span></p>
<p><span>\( = 3344{\text{ USD}}\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Accept \(3349\) from \(197\).</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{\sin ({\text{ABD}})}}{{70}} = \frac{{\sin ({{115}^ \circ })}}{{196.7}}\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substituted sine formula, <em><strong>(A1)</strong></em> for correct substitution.</span></p>
<p> </p>
<p><span>\( = {18.81^ \circ } \ldots \) <strong><em>(A1)</em>(ft)</strong></span><br><span>\( = {18.8^ \circ } \) <em><strong>(AG)</strong></em></span></p>
<p><span><strong>Notes:</strong> Both the unrounded and rounded answers must be seen for the final <em><strong>(A1)</strong></em> to be awarded. Follow through from their (a). If 197 is used the unrounded answer is </span><span>\( = {18.78^ \circ } \ldots \)</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{angle BDA}} = {46.2^ \circ }\) <em><strong>(A1)</strong></em></span><br><span>\({\text{Area}} = \frac{{70 \times (196.717 \ldots ) \times \sin ({{46.2}^ \circ })}}{2}\) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substituted area formula, <em><strong>(A1)</strong></em> for correct substitution.</span></p>
<p> </p>
<p><span>\({\text{Area ABD}} = 4970{\text{ }}{{\text{m}}^2}\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Notes:</strong> If \(197\) used answer is \(4980\).</span></p>
<p><span><strong>Notes:</strong> Follow through from (a) only. Award <em><strong>(G2)</strong></em> if there is no working shown and \({46.2^ \circ }\) not seen. If \({46.2^ \circ }\) seen without subsequent working, award <em><strong>(A1)(G2)</strong></em>.</span></p>
<p><span><em><strong>[4 marks]</strong></em><br></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(4969.38 \ldots \times 120\) <em><strong>(M1)</strong></em></span><br><span>\( = 596 327{\text{ USD}}\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Notes:</strong> Follow through from their (d).</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(300000{\left( {1 + \frac{r}{{100}}} \right)^{15}} = 600000\) or equivalent <em><strong>(A1)(M1)(A1)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(A1)</strong></em> for \(600 000\) seen or implied by alternative formula, <em><strong>(M1)</strong></em> for substituted CI formula, <em><strong>(A1)</strong></em> for correct substitutions.</span></p>
<p> </p>
<p><span>\(r = 4.73\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(G3)</strong></em> for \(4.73\) with no working. Award <em><strong>(G2)</strong></em> for \(4.7\) with no working.</span></p>
<p><span><em><strong>[4 marks]</strong></em><br></span></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates were able to recognise cosine rule, and substitute correctly. Where the final answer was not attained, this was mainly due to further unnecessary manipulation; the GDC should be used efficiently in such a case. Some students used the answer given and sine rule – this gained no credit.</span></p>
<p> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates were able to recognise cosine rule, and substitute correctly. Where the final answer was not attained, this was mainly due to further unnecessary manipulation; the GDC should be used efficiently in such a case. Some students used the answer given and sine rule – this gained no credit.</span></p>
<p> </p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates were able to recognise cosine rule, and substitute correctly. Where the final answer was not attained, this was mainly due to further unnecessary manipulation; the GDC should be used efficiently in such a case. Some students used the answer given and sine rule – this gained no credit.</span></p>
<p> </p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Again, most candidates used the appropriate area formula – however, some did not appreciate the purpose of the given answer and were unable to complete the question accurately.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"> </span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Again, most candidates used the appropriate area formula – however, some did not appreciate the purpose of the given answer and were unable to complete the question accurately.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"> </span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The final part, in which compound interest was again asked for, tested most candidates but there were many successful attempts using either the GDC's finance package or correct use of the formula. Care must be taken with the former to show some indication of the values to be used in the context of the question. With the latter approach marks were again lost due to a lack of appreciation of the difference between interest and value.</span></p>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">ABCDV is a solid glass pyramid. The base of the pyramid is a square of side 3.2 cm. The vertical height is 2.8 cm. The vertex V is directly above the centre O of the base.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the volume of the pyramid.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The glass weighs 9.3 grams per cm<sup>3</sup>. Calculate the weight of the pyramid.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that the length of the sloping edge VC of the pyramid is 3.6 cm.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the angle at the vertex, \({\text{B}}{\operatorname {\hat V}}{\text{C}}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the total surface area of the pyramid.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><em>Unit penalty <strong>(UP)</strong> is applicable in question parts (a), (b) and (e) <strong>only</strong>.</em><br></span></p>
<p><span>\({\text{V}} = \frac{1}{3} \times {3.2^2} \times 2.8\) <em><strong>(M1)</strong></em></span></p>
<p><span><em><strong>(M1) </strong>for substituting in correct formula</em></span></p>
<p><span><em><strong>(UP)</strong></em> = 9.56 cm<sup>3</sup><em><strong> (A1)(G2)<br></strong></em></span></p>
<p><span><em><strong>[2 marks]<br></strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>Unit penalty <strong>(UP)</strong> is applicable in question parts (a), (b) and (e) <strong>only</strong>.</em></span></p>
<p><span>\(9.56 \times 9.3\) <em><strong>(M1)</strong></em></span></p>
<p><span><em><strong>(UP)</strong></em> = 88.9 grams <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><em><strong>[2 marks]<br></strong></em></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{1}{2} {\text{base}} = 1.6 {\text{ seen}}\) <em><strong>(M1)</strong></em></span></p>
<p><span><em>award <strong>(M1)</strong> for halving base</em></span></p>
<p><span>\({\text{OC}}^2 = 1.6^2 + 1.6^2 = 5.12\) <em><strong>(A1)</strong></em></span></p>
<p><span><em>award <strong>(A1)</strong> for one correct use of Pythagoras</em></span></p>
<p><span>\(5.12 + 2.8^2 = 12.96 = {\text{VC}}^2\) <em><strong>(M1)</strong></em></span></p>
<p><span><em>award <strong>(M1)</strong> for using Pythagoras again to find VC<sup>2</sup></em></span></p>
<p><span>VC = 3.6 <strong>AG</strong></span></p>
<p><em><span>award <strong>(A1)</strong> for</span></em><span> 3</span><span>.6</span><em><span> obtained from</span></em><span> 1</span><span>2.96</span><em><span> only (not</span></em><span> 1</span><span>2.95…<em>)</em></span><em><span> <strong>(A1)</strong></span></em></p>
<p><span><strong>OR</strong><br></span></p>
<p><span>\({\text{AC}}^2 = 3.2^2 + 3.2^2 = 20.48\) <em><strong>(A1)</strong></em></span></p>
<p><em><span>award <strong>(A1)</strong> for one correct use of Pythagoras</span></em></p>
<p><span>({\text{OC}} = \frac{1}{2} \sqrt{20.48}\) ( = 2.26...) <em><strong>(M1)</strong></em></span></p>
<p><span><em>award <strong>(M1)</strong> for halving AC</em></span></p>
<p><span>\(2.8^2 + (2.26...)^2 = {\text{VC}}^2 = 12.96\) <em><strong>(M1)</strong></em></span></p>
<p><span><em>award <strong>(M1)</strong> for using Pythagoras again to find VC<sup>2</sup></em></span></p>
<p><span>VC = 3.6 <strong>AG <em>(A1)</em></strong></span></p>
<p><span><em>award <strong>(A1)</strong> for</em> 3.6<em> obtained from</em> 12.96<em> only (not</em> 12.95…<em>)</em></span><span><strong><br></strong></span></p>
<p><span><strong><em>[4 marks]</em><br></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(3.2^2 = 3.6^2 + 3.6^2 - 2 \times (3.6) (3.6) \cos\) </span><span>\({\text{B}}{\operatorname {\hat V}}{\text{C}}\)</span><span> <em><strong>(M1)(A1)</strong></em></span></p>
<p><span>\({\text{B}}{\operatorname {\hat V}}{\text{C}}\)</span><span><span> \( = {52.8^\circ }\) </span><em>(no</em> <strong>(ft)</strong> <em>here)</em> <em><strong>(A1)(G2)</strong></em></span></p>
<p><em><span>award <strong>(M1)</strong> for substituting in correct formula, <strong>(A1)</strong> for correct</span> <span>substitution</span></em></p>
<p><strong><span>OR</span></strong></p>
<p><span>\(\sin\) </span><span>\({\text{B}}{\operatorname {\hat V}}{\text{M}}\)</span><span><span> \( = \frac{{1.6}}{{3.6}}\)</span> </span><span>where <em>M</em> is the midpoint of BC <em><strong>(M1)(A1)</strong></em></span></p>
<p><span>\({\text{B}}{\operatorname {\hat V}}{\text{C}}\)</span><span><span><span> \( = {52.8^\circ}\)</span></span> <em>(no</em> <strong>(ft)</strong> <em>here)</em> <strong><em>(A1)</em></strong></span></p>
<p><span><strong><em>[3 marks]<br></em></strong></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>Unit penalty <strong>(UP)</strong> is applicable in question parts (a), (b) and (e) <strong>only</strong>.</em></span></p>
<p><span>\(4 \times \frac{1}{2}{(3.6)^2} \times \sin (52.8^\circ ) + {(3.2)^2}\) <em><strong>(M1)(M1)(M1)</strong></em></span></p>
<p><span><em>award <strong>(M1)</strong> for</em> \( \times 4\)<em>, <strong>(M1)</strong> for substitution in relevant triangle area,</em> (\(\frac{1}{2}(3.2)(2.8)\) <em>gets</em> <strong><em>(M0)</em></strong><em>)</em></span></p>
<p><span><em><strong>(M1)</strong> for</em> \(+ {(3.2)^2}\)</span></p>
<p><span><em><strong>(UP)</strong></em> = 30.9 cm<sup>2</sup> <em>(</em><strong>(ft)</strong> <em>from their</em> <em>(d))</em> <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><em><strong>[4 marks]<br></strong></em></span></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The volume of the pyramid and the weight were well done. Many candidates lost their unit penalty here. They had trouble showing that the sloping edge was 3.6 cm. The angle BVC was done well but not the total surface area. They knew that they needed four sides and the base, but finding the area of the triangle proved difficult for the less able candidates.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The volume of the pyramid and the weight were well done. Many candidates lost their unit penalty here. They had trouble showing that the sloping edge was 3.6 cm. The angle BVC was done well but not the total surface area. They knew that they needed four sides and the base, but finding the area of the triangle proved difficult for the less able candidates.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The volume of the pyramid and the weight were well done. Many candidates lost their unit penalty here. They had trouble showing that the sloping edge was 3.6 cm. The angle BVC was done well but not the total surface area. They knew that they needed four sides and the base, but finding the area of the triangle proved difficult for the less able candidates.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The volume of the pyramid and the weight were well done. Many candidates lost their unit penalty here. They had trouble showing that the sloping edge was 3.6 cm. The angle BVC was done well but not the total surface area. They knew that they needed four sides and the base, but finding the area of the triangle proved difficult for the less able candidates.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The volume of the pyramid and the weight were well done. Many candidates lost their unit penalty here. They had trouble showing that the sloping edge was 3.6 cm. The angle BVC was done well but not the total surface area. They knew that they needed four sides and the base, but finding the area of the triangle proved difficult for the less able candidates.</span></p>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The diagram shows part of the graph of \(f(x) = {x^2} - 2x + \frac{9}{x}\) , where \(x \ne 0\) .</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down</span></p>
<p><span>(i) the equation of the vertical asymptote to the graph of \(y = f (x)\) ;</span></p>
<p><span>(ii) the solution to the equation \(f (x) = 0\) ;</span></p>
<p><span>(iii) the coordinates of the local minimum point.</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find \(f'(x)\) . </span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that \(f'(x)\) can be written as \(f'(x) = \frac{{2{x^3} - 2{x^2} - 9}}{{{x^2}}}\) .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the gradient of the tangent to \(y = f (x)\) at the point \({\text{A}}(1{\text{, }}8)\) .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The line, \(L\), passes through the point A and is perpendicular to the tangent at A. </span></p>
<p><span>Write down the gradient of \(L\) .</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The line, \(L\) , passes through the point A and is perpendicular to the tangent at A. </span></p>
<p><span>Find the equation of \(L\) . Give your answer in the form \(y = mx + c\) .</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><span>The line, \(L\) , passes through the point A and is perpendicular to the tangent at A. </span></span></p>
<p><span>\(L\) also intersects the graph of \(y = f (x)\) at points B and C . Write down the <strong><em>x</em>-coordinate</strong> of B and of C .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(x = 0\) <em><strong>(A1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for \(x = \) a constant, <em><strong>(A1)</strong></em> for the constant in their equation being \(0\).</span></p>
<p> </p>
<p><span>(ii) \( - 1.58\) (\( - 1.58454 \ldots \)) <em><strong>(G1)</strong></em></span></p>
<p><span><strong>Note:</strong> Accept \( - 1.6\), do not accept \( - 2\) or \( - 1.59\).</span></p>
<p> </p>
<p><span>(iii) \((2.06{\text{, }}4.49)\) \((2.06020 \ldots {\text{, }}4.49253 \ldots )\) <em><strong>(G1)(G1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award at most <em><strong>(G1)(G0)</strong></em> if brackets not used. Award <strong><em>(G0)(G1)</em>(ft)</strong> if coordinates are reversed.</span></p>
<p><span><strong>Note:</strong> Accept \(x = 2.06\), \(y = 4.49\) .</span></p>
<p><span><strong>Note:</strong> Accept \(2.1\), do not accept \(2.0\) or \(2\). Accept \(4.5\), do not accept \(5\) or \(4.50\).</span></p>
<p> </p>
<p><em><strong><span>[5 marks]</span></strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(f'(x) = 2x - 2 - \frac{9}{{{x^2}}}\) <em><strong>(A1)(A1)(A1)(A1)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(A1)</strong></em> for \(2x\), <em><strong>(A1)</strong></em> for \( - 2\), <em><strong>(A1)</strong></em> for \( - 9\), <em><strong>(A1)</strong></em> for \({x^{ - 2}}\) . Award a maximum of <em><strong>(A1)(A1)(A1)(A0)</strong></em> if there are extra terms present.</span></p>
<p><em><strong><span>[4 marks]</span></strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><strong></strong>\(f'(x) = \frac{{{x^2}(2x - 2)}}{{{x^2}}} - \frac{9}{{{x^2}}}\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for taking the correct common denominator.</span></p>
<p> </p>
<p><span>\( = \frac{{(2{x^3} - 2{x^2})}}{{{x^2}}} - \frac{9}{{{x^2}}}\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for multiplying brackets or equivalent.</span></p>
<p><span> </span></p>
<p><span>\( = \frac{{2{x^3} - 2{x^2} - 9}}{{{x^2}}}\) <em><strong>(AG)</strong></em></span></p>
<p><span><strong>Note:</strong> The final <em><strong>(M1)</strong></em> is not awarded if the given answer is not seen.</span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(f'(1) = \frac{{2{{(1)}^3} - 2(1) - 9}}{{{{(1)}^2}}}\) <em><strong>(M1)</strong></em></span></p>
<p><span>\( = - 9\) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into <strong>given</strong> (or their correct) </span><span><span>\(f'(x)\)</span> . There is no follow through for use of their incorrect derivative.</span></span></p>
<p><em><strong><span><span>[2 marks]</span></span></strong></em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{1}{9}\) <strong><em>(A1)</em>(ft)</strong></span></p>
<p><span><strong>Note:</strong> Follow through from part (d).</span></p>
<p><em><strong><span>[1 mark]</span></strong></em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(y - 8 = \frac{1}{9}(x - 1)\) <em><strong>(M1)(M1)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for substitution of their gradient from (e), <em><strong>(M1)</strong></em> for substitution of given point. Accept all forms of straight line.</span></p>
<p> </p>
<p><span>\(y = \frac{1}{9}x + \frac{{71}}{9}\) (\(y = 0.111111 \ldots x + 7.88888 \ldots \)) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><span><strong>Note:</strong> Award the final <strong><em>(A1)</em>(ft)</strong> for a correctly rearranged formula of <strong>their</strong> straight line in (f). Accept \(0.11x\), do not accept \(0.1x\). Accept \(7.9\), do not accept \(7.88\), do not accept \(7.8\).</span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\( - 2.50\), \(3.61\) (\( - 2.49545 \ldots \), \(3.60656 \ldots \)) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong>Notes:</strong> Follow through from their line \(L\) from part (f) even if no working shown. Award at most <em><strong>(A0)(A1)</strong></em><strong>(ft)</strong> if their correct coordinate pairs given.</span></p>
<p><span><strong>Note:</strong> Accept \( - 2.5\), do not accept \( - 2.49\). Accept \(3.6\), do not accept \(3.60\).</span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">As usual, the content in this question caused difficulty for many candidates. However, for those with a sound grasp of the topic, there were many very successful attempts. The curve was given so that a comparison could be made to a GDC version and the correct form of the derivative was also given to permit weaker candidates to progress to the latter stages. Unfortunately, some decided to proceed with their own incorrect versions, in which case <strong>very limited follow through accrued</strong>. It should be emphasized to candidates that when an answer is given in this way it should be used in subsequent parts of the question.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">As in previous years, much of the question could have been answered successfully by using the GDC. However, it was also clear that a large number of candidates did not attempt either to verify their work with their GDC or to use it in place of an algebraic approach.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Differentiation of terms with negative indices remains a testing process for the majority; it will continue to be tested. Some centres still do not teach the differential calculus.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">As usual, the content in this question caused difficulty for many candidates. However, for those with a sound grasp of the topic, there were many very successful attempts. The curve was given so that a comparison could be made to a GDC version and the correct form of the derivative was also given to permit weaker candidates to progress to the latter stages. Unfortunately, some decided to proceed with their own incorrect versions, in which case <strong>very limited follow through accrued</strong>. It should be emphasized to candidates that when an answer is given in this way it should be used in subsequent parts of the question.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">As in previous years, much of the question could have been answered successfully by using the GDC. However, it was also clear that a large number of candidates did not attempt either to verify their work with their GDC or to use it in place of an algebraic approach.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Differentiation of terms with negative indices remains a testing process for the majority; it will continue to be tested. Some centres still do not teach the differential calculus.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">As usual, the content in this question caused difficulty for many candidates. However, for those with a sound grasp of the topic, there were many very successful attempts. The curve was given so that a comparison could be made to a GDC version and the correct form of the derivative was also given to permit weaker candidates to progress to the latter stages. Unfortunately, some decided to proceed with their own incorrect versions, in which case <strong>very limited follow through accrued</strong>. It should be emphasized to candidates that when an answer is given in this way it should be used in subsequent parts of the question.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">As in previous years, much of the question could have been answered successfully by using the GDC. However, it was also clear that a large number of candidates did not attempt either to verify their work with their GDC or to use it in place of an algebraic approach.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Differentiation of terms with negative indices remains a testing process for the majority; it will continue to be tested. Some centres still do not teach the differential calculus.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">As usual, the content in this question caused difficulty for many candidates. However, for those with a sound grasp of the topic, there were many very successful attempts. The curve was given so that a comparison could be made to a GDC version and the correct form of the derivative was also given to permit weaker candidates to progress to the latter stages. Unfortunately, some decided to proceed with their own incorrect versions, in which case<strong> very limited follow through accrued</strong>. It should be emphasized to candidates that when an answer is given in this way it should be used in subsequent parts of the question.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">As in previous years, much of the question could have been answered successfully by using the GDC. However, it was also clear that a large number of candidates did not attempt either to verify their work with their GDC or to use it in place of an algebraic approach.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Differentiation of terms with negative indices remains a testing process for the majority; it will continue to be tested. Some centres still do not teach the differential calculus.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">As usual, the content in this question caused difficulty for many candidates. However, for those with a sound grasp of the topic, there were many very successful attempts. The curve was given so that a comparison could be made to a GDC version and the correct form of the derivative was also given to permit weaker candidates to progress to the latter stages. Unfortunately, some decided to proceed with their own incorrect versions, in which case <strong>very limited follow through accrued</strong>. It should be emphasized to candidates that when an answer is given in this way it should be used in subsequent parts of the question.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">As in previous years, much of the question could have been answered successfully by using the GDC. However, it was also clear that a large number of candidates did not attempt either to verify their work with their GDC or to use it in place of an algebraic approach.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Differentiation of terms with negative indices remains a testing process for the majority; it will continue to be tested. Some centres still do not teach the differential calculus.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">As usual, the content in this question caused difficulty for many candidates. However, for those with a sound grasp of the topic, there were many very successful attempts. The curve was given so that a comparison could be made to a GDC version and the correct form of the derivative was also given to permit weaker candidates to progress to the latter stages. Unfortunately, some decided to proceed with their own incorrect versions, in which case <strong>very limited follow through accrued</strong>. It should be emphasized to candidates that when an answer is given in this way it should be used in subsequent parts of the question.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">As in previous years, much of the question could have been answered successfully by using the GDC. However, it was also clear that a large number of candidates did not attempt either to verify their work with their GDC or to use it in place of an algebraic approach.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Differentiation of terms with negative indices remains a testing process for the majority; it will continue to be tested. Some centres still do not teach the differential calculus.</span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">As usual, the content in this question caused difficulty for many candidates. However, for those with a sound grasp of the topic, there were many very successful attempts. The curve was given so that a comparison could be made to a GDC version and the correct form of the derivative was also given to permit weaker candidates to progress to the latter stages. Unfortunately, some decided to proceed with their own incorrect versions, in which case <strong>very limited follow through accrued</strong>. It should be emphasized to candidates that when an answer is given in this way it should be used in subsequent parts of the question.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">As in previous years, much of the question could have been answered successfully by using the GDC. However, it was also clear that a large number of candidates did not attempt either to verify their work with their GDC or to use it in place of an algebraic approach.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Differentiation of terms with negative indices remains a testing process for the majority; it will continue to be tested. Some centres still do not teach the differential calculus.</span></p>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">A solid metal <strong>cylinder</strong> has a base radius of 4 cm and a height of 8 cm.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the area of the base of the cylinder.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that the volume of the metal used in the cylinder is 402 cm<sup>3</sup>, given correct to three significant figures.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the total surface area of the cylinder.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The cylinder was melted and recast into a solid cone, shown in the following diagram. The base radius OB is 6 cm.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<p><span>Find the height, OC, of the cone.</span></p>
<p> </p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The cylinder was melted and recast into a solid cone, shown in the following diagram. The base radius OB is 6 cm.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<p><span>Find the size of angle BCO.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The cylinder was melted and recast into a solid cone, shown in the following diagram. The base radius OB is 6 cm.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<p><span>Find the slant height, CB.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The cylinder was melted and recast into a solid cone, shown in the following diagram. The base radius OB is 6 cm.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<p><span>Find the total surface area of the cone.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\( \pi \times 4^2\) <em><strong>(M1)</strong></em></span></p>
<p><span>= 50.3 (16\(\pi\)) cm<sup>2 </sup>(50.2654...) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in area formula. The answer is 50.3 cm<sup>2</sup>, the units are required.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>50.265...× 8 <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in the volume formula.</span></p>
<p><br><span>= 402.123... <em><strong>(A1)</strong></em></span><br><span><em><strong>=</strong></em> 402 (cm<sup>3</sup>) <em><strong>(AG)</strong></em></span></p>
<p><span><strong>Note:</strong> Both the unrounded and the rounded answer must be seen for the <em><strong>(A1)</strong></em> to be awarded. The units are <strong>not</strong> required</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(2 \times \pi \times 4 \times 8 + 2 \times \pi \times 4^2\) <em><strong>(M1)(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in the curved surface area formula, <em><strong>(M1)</strong></em> for adding the area of their two bases.</span><br><br></p>
<p><span>= 302 cm<sup>2</sup> (96π cm<sup>2</sup>) (301.592...) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Notes:</strong> The answer is 302 cm<sup>2</sup>, the units are required. Do not penalise for missing or incorrect units if penalised in part (a). Follow through from their answer to part (a).</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{1}{3} \pi \times 6^2 \times \text{OC} = 402\) <em><strong>(M1)(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correctly substituted volume formula, <em><strong>(M1)</strong></em> for equating to 402 (402.123…).</span></p>
<p><br><span>\({\text{OC}} = 10.7{\text{ (cm)}}\left( {{\text{10}}\frac{2}{3},{\text{ }}10.6666...} \right)\) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><em><strong>[3 marks]<br></strong></em></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\tan \text{BCO} = \frac{6}{10.66...}\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for use of correct tangent ratio.</span></p>
<p><br><span>\({\text{B}}{\operatorname{\hat C}}{\text{O}} = 29.4^\circ \) (29.3577...) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Notes:</strong> Accept 29.3° (29.2814...) if 10.7 is used. An acceptable alternative method is to calculate CB first and then angle BCO.</span> <span>Allow follow through from parts (d) and (f). Answers range from 29.2° to 29.5°.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\text{CB} = \sqrt{{6^2} + {(10.66...)^2}}\) <em><strong>(M1)</strong></em></span></p>
<p><em><strong><span>OR</span></strong></em></p>
<p><span>\(\sin 29.35...^\circ = \frac{6}{\text{CB}}\) <em><strong>(M1)</strong></em></span></p>
<p><em><strong><span>OR</span></strong></em></p>
<p><span>\(\cos 29.35...^\circ = \frac{10.66...}{\text{CB}}\) <em><strong>(M1)</strong></em></span></p>
<p><span>CB = 12.2 (cm) (12.2383...) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Accept 12.3 (12.2674...) if 10.7 (and/or 29.3) used. Follow through from part (d) or part (e) as appropriate.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\pi \times 6 \times 12.2383... + \pi \times 6^2\) <em><strong>(M1)(M1)(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in curved surface area formula, <em><strong>(M1)</strong></em> for correct substitution in area of circle formula, <em><strong>(M1)</strong></em> for addition of the two areas.</span></p>
<p><br><span>= 344 cm<sup>2</sup> (343.785...) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><span><strong>Note:</strong> The answer is 344 cm<sup>2</sup>, the units are required. Do not penalise for missing or incorrect units if already penalised in either part (a) or (c). Accept 345 cm<sup>2</sup> if 12.3 is used and 343 cm<sup>2</sup> if 12.2 is used. Follow through from their part (f).</span></p>
<p><span><em><strong>[4 marks]</strong></em><br></span></p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was either very well done – by the majority – or very poorly (but not both). Many incomplete attempts were seen. This would perhaps indicate a lack of preparation in this area of the syllabus from some centres, since it was that the formulas for cones were not well understood. Further, the idea of “total surface area” was a mystery to many – a slavish reliance of formulas, irrespective of context, led to many errors and a consequent loss of marks.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The invariance of volume for solids and liquids that provided the link in this question was not understood by many, but was felt to be an appropriate subject for an examination.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was either very well done – by the majority – or very poorly (but not both). Many incomplete attempts were seen. This would perhaps indicate a lack of preparation in this area of the syllabus from some centres, since it was that the formulas for cones were not well understood. Further, the idea of “total surface area” was a mystery to many – a slavish reliance of formulas, irrespective of context, led to many errors and a consequent loss of marks.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The invariance of volume for solids and liquids that provided the link in this question was not understood by many, but was felt to be an appropriate subject for an examination.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was either very well done – by the majority – or very poorly (but not both). Many incomplete attempts were seen. This would perhaps indicate a lack of preparation in this area of the syllabus from some centres, since it was that the formulas for cones were not well understood. Further, the idea of “total surface area” was a mystery to many – a slavish reliance of formulas, irrespective of context, led to many errors and a consequent loss of marks.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The invariance of volume for solids and liquids that provided the link in this question was not understood by many, but was felt to be an appropriate subject for an examination.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was either very well done – by the majority – or very poorly (but not both). Many incomplete attempts were seen. This would perhaps indicate a lack of preparation in this area of the syllabus from some centres, since it was that the formulas for cones were not well understood. Further, the idea of “total surface area” was a mystery to many – a slavish reliance of formulas, irrespective of context, led to many errors and a consequent loss of marks.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The invariance of volume for solids and liquids that provided the link in this question was not understood by many, but was felt to be an appropriate subject for an examination.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was either very well done – by the majority – or very poorly (but not both). Many incomplete attempts were seen. This would perhaps indicate a lack of preparation in this area of the syllabus from some centres, since it was that the formulas for cones were not well understood. Further, the idea of “total surface area” was a mystery to many – a slavish reliance of formulas, irrespective of context, led to many errors and a consequent loss of marks.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The invariance of volume for solids and liquids that provided the link in this question was not understood by many, but was felt to be an appropriate subject for an examination.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was either very well done – by the majority – or very poorly (but not both). Many incomplete attempts were seen. This would perhaps indicate a lack of preparation in this area of the syllabus from some centres, since it was that the formulas for cones were not well understood. Further, the idea of “total surface area” was a mystery to many – a slavish reliance of formulas, irrespective of context, led to many errors and a consequent loss of marks.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The invariance of volume for solids and liquids that provided the link in this question was not understood by many, but was felt to be an appropriate subject for an examination.</span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was either very well done – by the majority – or very poorly (but not both). Many incomplete attempts were seen. This would perhaps indicate a lack of preparation in this area of the syllabus from some centres, since it was that the formulas for cones were not well understood. Further, the idea of “total surface area” was a mystery to many – a slavish reliance of formulas, irrespective of context, led to many errors and a consequent loss of marks.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The invariance of volume for solids and liquids that provided the link in this question was not understood by many, but was felt to be an appropriate subject for an examination.</span></p>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Alex and Kris are riding their bicycles together along a bicycle trail and note the following distance markers at the given times.</span></p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Draw a scatter diagram of the data. Use 1 cm to represent 1 hour and 1 cm to represent 10 km.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down for this set of data </span><span>the mean time, \(\bar t\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down for this set of data the mean distance, \(\bar d\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Mark and label the point \(M(\bar t,{\text{ }}\bar d)\) on your scatter diagram.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Draw the line of best fit on your scatter diagram.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><strong>Using your graph</strong>, estimate the time when Alex and Kris pass the 85 km distance marker. Give your answer correct to <strong>one decimal place</strong>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the equation of the regression line for the data given.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><strong>Using your equation</strong> calculate the distance marker passed by the cyclists at 10.3 hours.<br></span></p>
<div class="marks">[2]</div>
<div class="question_part_label">g.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Is this estimate of the distance reliable? Give a reason for your answer.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">g.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><img 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" alt><span> <em><strong>(A1)(A2)</strong></em></span></span></p>
<p> </p>
<p><span><strong>Notes:</strong> Award <em><strong>(A1)</strong></em> for axes labelled with d and t and correct scale, <em><strong>(A2)</strong></em> for 6 or 7 points correctly plotted, <em><strong>(A1)</strong></em> for 4 or 5 points, <em><strong>(A0)</strong></em> for 3 or less points correctly plotted. Award at most <em><strong>(A1)(A1)</strong></em> if points are joined up. If axes are reversed award at most <em><strong>(A0)(A2)</strong></em></span></p>
<p><span> </span></p>
<p><span><em><strong>[3 marks]</strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\bar t = 4\) <em><strong>(G1)<br></strong></em></span></p>
<p><span><em><strong>[1 mark]</strong></em></span></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p> </p>
<p><span>\(\bar d = 81.1\left( {\frac{{568}}{7}} \right)\) <strong><em>(G1)</em></strong></span></p>
<p><span> </span></p>
<p><span><strong>Note:</strong> If answers are the wrong way around award in (i) <strong><em>(G0)</em></strong> and in (ii) <strong><em>(G1)</em>(ft)</strong>.</span></p>
<p><span> </span></p>
<p><em><strong><span>[1 mark]</span></strong></em></p>
<p> </p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Point marked and labelled with M or \(\bar t\), \(\bar d\) on their graph <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><em><span><strong>[2 marks]</strong></span></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Line of best fit drawn that passes through their M and (0, 48) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong> </span></p>
<p> </p>
<p><span><strong>Notes:</strong> Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for straight line that passes through their M, <em><strong>(A1)</strong></em> for line (extrapolated if necessary) that passes through (0, 48).</span></p>
<p><span>Accept error of ±3. If ruler not used award a maximum of <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A0)</strong></em>.</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>4.5h (their answer ±0.2) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p> </p>
<p><span><strong>Note:</strong> Follow through from their graph. If method shown by some indication on graph of point but answer is incorrect, award <em><strong>(M1)(A0)</strong></em>.</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>d</em> = 8.25<em>t</em> + 48.1 <em><strong>(G1)(G1)</strong></em> </span></p>
<p> </p>
<p><span><strong>Notes:</strong> Award <em><strong>(G1)</strong></em> for 8.25, <em><strong>(G1)</strong></em> for 48.1.</span></p>
<p><span>Award at most <em><strong>(G1)(G0)</strong></em> if <em>d</em> = (<em>or y</em> =) is not seen.</span></p>
<p><span>Accept <em>d</em> – 81.1 = 8.25(<em>t </em></span><span><span>– </span>4) or equivalent.</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>d</em> = 8.25 × 10.3 + 48.1 <em><strong>(M1)</strong></em></span></p>
<p><span><em>d</em> = 133 km <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)<br></strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">g.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>No <strong><em>(A1)</em></strong></p>
<p>Outside the set of values of <em>t</em> or equivalent. <strong><em>(R1)</em></strong></p>
<p><strong>Note:</strong> Do not award <strong><em>(A1)(R0)</em></strong>.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">g.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was well answered by most of the candidates. Diagrams were in general well drawn except for some students that reversed the axes or did not use the stated scales. They were able to use the GDC to find the means and the equation of the regression line. Very few students could take the correct decision in (g) (ii) by stating that the value was outside the range of the data set. The majority inclined their answers towards the context of the question and forgot what they had been taught about how wrong extrapolation can be.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was well answered by most of the candidates. Diagrams were in general well drawn except for some students that reversed the axes or did not use the stated scales. They were able to use the GDC to find the means and the equation of the regression line. Very few students could take the correct decision in (g) (ii) by stating that the value was outside the range of the data set. The majority inclined their answers towards the context of the question and forgot what they had been taught about how wrong extrapolation can be.</span></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">This question was well answered by most of the candidates. Diagrams were in general well drawn except for some students that reversed the axes or did not use the stated scales. They were able to use the GDC to find the means and the equation of the regression line. Very few students could take the correct decision in (g) (ii) by stating that the value was outside the range of the data set. The majority inclined their answers towards the context of the question and forgot what they had been taught about how wrong extrapolation can be.</span></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was well answered by most of the candidates. Diagrams were in general well drawn except for some students that reversed the axes or did not use the stated scales. They were able to use the GDC to find the means and the equation of the regression line. Very few students could take the correct decision in (g) (ii) by stating that the value was outside the range of the data set. The majority inclined their answers towards the context of the question and forgot what they had been taught about how wrong extrapolation can be.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was well answered by most of the candidates. Diagrams were in general well drawn except for some students that reversed the axes or did not use the stated scales. They were able to use the GDC to find the means and the equation of the regression line. Very few students could take the correct decision in (g) (ii) by stating that the value was outside the range of the data set. The majority inclined their answers towards the context of the question and forgot what they had been taught about how wrong extrapolation can be.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was well answered by most of the candidates. Diagrams were in general well drawn except for some students that reversed the axes or did not use the stated scales. They were able to use the GDC to find the means and the equation of the regression line. Very few students could take the correct decision in (g) (ii) by stating that the value was outside the range of the data set. The majority inclined their answers towards the context of the question and forgot what they had been taught about how wrong extrapolation can be.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was well answered by most of the candidates. Diagrams were in general well drawn except for some students that reversed the axes or did not use the stated scales. They were able to use the GDC to find the means and the equation of the regression line. Very few students could take the correct decision in (g) (ii) by stating that the value was outside the range of the data set. The majority inclined their answers towards the context of the question and forgot what they had been taught about how wrong extrapolation can be.</span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was well answered by most of the candidates. Diagrams were in general well drawn except for some students that reversed the axes or did not use the stated scales. They were able to use the GDC to find the means and the equation of the regression line. Very few students could take the correct decision in (g) (ii) by stating that the value was outside the range of the data set. The majority inclined their answers towards the context of the question and forgot what they had been taught about how wrong extrapolation can be.</span></p>
<div class="question_part_label">g.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">This question was well answered by most of the candidates. Diagrams were in general well drawn except for some students that reversed the axes or did not use the stated scales. They were able to use the GDC to find the means and the equation of the regression line. Very few students could take the correct decision in (g) (ii) by stating that the value was outside the range of the data set. The majority inclined their answers towards the context of the question and forgot what they had been taught about how wrong extrapolation can be.</span></p>
<div class="question_part_label">g.ii.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">A gardener has to pave a rectangular area 15.4 metres long and 5.5 metres wide using rectangular bricks. The bricks are 22 cm long and 11 cm wide.</span></p>
</div>
<div class="specification">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">The gardener decides to have a triangular lawn ABC, instead of paving, in the middle of the rectangular area, as shown in the diagram below.</span></p>
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 12.0px Helvetica;"><span style="font-family: 'times new roman', times; font-size: medium;"><img src="onbekend.html" alt="onbekend.png"></span></p>
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">The distance AB is 4 metres, AC is 6 metres and angle BAC is 40°.</span></p>
</div>
<div class="specification">
<div style="color: #3f3f3f; font: normal normal normal 14px/1.5em 'Lucida Grande', Helvetica, Arial, sans-serif; padding-top: 40px; padding-right: 10px !important; padding-bottom: 10px !important; padding-left: 10px !important; background-image: url('body-bg.html'); background-attachment: initial; background-origin: initial; background-clip: initial; background-color: #f7f7f7; height: 94% !important; font-family: 'Helvetica Neue', Arial, 'Lucida Grande', 'Lucida Sans Unicode', sans-serif; font-size: 14px; line-height: 20px; display: inline; float: none; background-position: 50% 0%; background-repeat: no-repeat repeat; margin: 0px;">
<p style="margin-top: 0px; margin-right: 0px; margin-bottom: 10px; margin-left: 0px; font-family: 'Helvetica Neue', Arial, 'Lucida Grande', 'Lucida Sans Unicode', sans-serif;"><span style="font-family: times new roman,times; font-size: medium;">In another garden, twelve of the same rectangular bricks are to be used to make an edge around a small garden bed as shown in the diagrams below. FH is the length of a brick and C is the centre of the garden bed. M and N are the midpoints of the long edges of the bricks on opposite sides of the garden bed.</span></p>
<p style="margin-top: 0px; margin-right: 0px; margin-bottom: 10px; margin-left: 0px; font-family: 'Helvetica Neue', Arial, 'Lucida Grande', 'Lucida Sans Unicode', sans-serif;"><span style="font-family: times new roman,times; font-size: medium;"><img style="border-style: initial; border-color: initial; max-width: 100%; vertical-align: middle; border-width: 0px;" 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" alt></span></p>
</div>
</div>
<div class="specification">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">The garden bed has an area of 5419 cm<sup>2</sup>. It is covered with soil to a depth of 2.5 cm.</span></p>
</div>
<div class="specification">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">It is estimated that 1 kilogram of soil occupies 514 cm<sup>3</sup>.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the total area to be paved. Give your answer in cm<sup>2</sup>.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the area of each brick.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find how many bricks are required to pave the total area.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the length of BC.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Hence write down the perimeter of the triangular lawn.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the area of the lawn.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the percentage of the rectangular area which is to be lawn.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.iv.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the angle FCH.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the distance MN from one side of the garden bed to the other, passing through C.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the volume of soil used.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the number of kilograms of soil required for this garden bed.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>15.4 × 5.5 <em><strong>(M1)</strong></em></span></p>
<p><span>84.7 m<sup>2</sup> <em><strong>(A1)</strong></em></span></p>
<p><span>= 847000 cm</span><span><span><sup>2</sup> </span> <em><strong>(A1)(G3)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(G2)</strong></em> if 84.7 m</span><span><span><sup>2</sup></span> seen with no working.</span></p>
<p><br><strong><span>OR</span></strong></p>
<p><span>1540 </span><span><span>× </span>550 <em><strong>(A1)(M1)</strong></em></span></p>
<p><span>= 847000 cm</span><span><span><sup>2</sup></span> <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for both dimensions converted correctly to cm,</span> <span><strong><em>(M1)</em></strong> for multiplication of both dimensions. <strong><em>(A1)</em>(ft)</strong> for</span> <span>correct product of their sides in cm.</span></p>
<p><span> </span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>242 cm<sup>2</sup> (0.0242 m<sup>2</sup>) <strong><em>(A1)</em></strong></span></p>
<p><span><strong><em>[1 marks}</em></strong></span></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac {15.4}{0.22} = 70\) <strong><em>(M1)</em></strong></span></p>
<p><span>\(\frac{5.5}{0.11} = 50\)</span></p>
<p><span>\(70 \times 50 = 3500\) <strong><em>(A1)(G2)</em></strong></span></p>
<p><span><strong>OR</strong></span></p>
<p><span>\(\frac {847000}{242} = 3500\) <strong><em>(M1)(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p> </p>
<p><span><strong>Note:</strong> Follow through from parts (a) (i) and (ii).</span></p>
<p> </p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\text{B}}{{\text{C}}^2} = {4^2} + {6^2}-2 \times 4 \times 6 \times \cos 40^\circ \) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span>\({\text{BC}} = 3.90{\text{ m}}\) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span> </span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substituted formula, <em><strong>(A1)</strong></em> for correct substitutions, <em><strong>(A1)</strong></em> for correct answer.</span></p>
<p><span> </span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>perimeter = 13.9 m <strong><em>(A1)</em>(ft)<em>(G1)</em></strong></span></p>
<p><span> </span></p>
<p><span><strong>Notes:</strong> Follow through from part (b) (i).</span></p>
<p><span> </span></p>
<p><em><strong><span>[1 mark]</span></strong></em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p> </p>
<p><span>\({\text{Area}} = \frac{1}{2} \times 4 \times 6 \times \sin 40^\circ \) <strong><em>(M1)</em></strong></span></p>
<p><span>= 7.71 m<sup>2</sup> <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p><span> </span></p>
<p><span><strong>Notes:</strong> Award <strong><em>(M1)</em></strong> for correct formula and correct substitution, <strong><em>(A1)</em>(ft)</strong> for correct answer.</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<p> </p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{7.713}}{{84.7}} \times 100{\text{ }}\% = 9.11{\text{ }}\% \) <strong><em>(A1)(M1)(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p><span> </span></p>
<p><span><strong>Notes:</strong> Accept 9.10 %.</span></p>
<p><span>Award <strong><em>(A1)</em></strong> for both measurements correctly written in the same unit, <strong><em>(M1)</em></strong> for correct method, <strong><em>(A1)</em>(ft)</strong> for correct answer.</span></p>
<p><span>Follow through from (b) (iii) and from consistent error in conversion of units throughout the question.</span></p>
<p><span> </span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">b.iv.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{360^\circ }}{{12}}\) <em><strong>(M1)</strong></em></span></p>
<p><span>\( = 30^\circ\) <em><strong>(A1)(G2)<br></strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\text{MN} = 2 \times \frac{11}{\tan 15} \) <strong><em>(A1)</em>(ft)<em>(M1)</em></strong></span></p>
<p><span><strong>OR</strong></span></p>
<p><span>\(\text{MN} = 2 \times 11 \tan 75^\circ \)</span></p>
<p><span>\({\text{MN}} = 82.1{\text{ cm}}\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></span></p>
<p><span> </span></p>
<p><span><strong>Notes:</strong> Award <strong><em>(A1)</em></strong> for 11 and 2 seen (implied by 22 seen), <strong><em>(M1)</em></strong> for dividing by tan15 (or multiplying by tan 75).</span></p>
<p><span>Follow through from their angle in part (c) (i).</span></p>
<p><span> </span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>volume = 5419 × 2.5 <em><strong>(M1)</strong></em></span></p>
<p><span>= 13500 cm<sup>3</sup> <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{13547.34 \ldots }}{{514}} = 26.4\)</span> <span><em><strong>(M1)(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em> </span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for dividing their part (d) by 514.</span></p>
<p><span>Accept 26.3.</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Part (a) was well done except for the fact that very few students were able to convert correctly from m<sup>2</sup> to cm</span><span style="font-size: medium; font-family: times new roman,times;"><span style="font-size: medium; font-family: times new roman,times;"><sup>2</sup></span> and this was very disappointing.</span></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">Part (a) was well done except for the fact that very few students were able to convert correctly from m<sup>2</sup> to cm<sup>2</sup> and this was very disappointing.</span></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;">Part (a) was well done except for the fact that very few students were able to convert correctly from m<sup>2</sup> to m<sup>2</sup> and this was very disappointing.</p>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;"><span style="font-size: medium; font-family: times new roman,times;">In part (b) the cosine rule and the area of a triangle were well done. In some cases units were </span><span style="font-size: medium; font-family: times new roman,times;">missing and therefore a unit penalty was applied.</span></span></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">In part (b) the cosine rule and the area of a triangle were well done. In some cases units were missing and therefore a unit penalty was applied.</span></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">In part (b) the cosine rule and the area of a triangle were well done. In some cases units were missing and therefore a unit penalty was applied.</span></p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">In part (b) the cosine rule and the area of a triangle were well done. In some cases units were missing and therefore a unit penalty was applied.</span></p>
<div class="question_part_label">b.iv.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;"><span style="font-size: medium; font-family: times new roman,times;">Part (c) was clearly the most difficult one for the students. The general impression was that </span><span style="font-size: medium; font-family: times new roman,times;">they did not read the diagram in detail. A number of candidates could not distinguish the </span><span style="font-size: medium; font-family: times new roman,times;">circle from the triangle and hence used an incorrect method to find the radius.</span></span></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">Part (c) was clearly the most difficult one for the students. The general impression was that they did not read the diagram in detail. A number of candidates could not distinguish the circle from the triangle and hence used an incorrect method to find the radius.</span></p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">It was pleasing to see candidates recovering well to get full marks for the last two parts.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">It was pleasing to see candidates recovering well to get full marks for the last two parts.</span></p>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The diagram shows a Ferris wheel that moves with constant speed and completes a rotation every 40 seconds. The wheel has a radius of \(12\) m and its lowest point is \(2\) m above the ground.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Initially, a seat C is vertically below the centre of the wheel, O. It then rotates in an anticlockwise (counterclockwise) direction.</span></p>
<p><span>Write down</span></p>
<p><span>(i) the height of O above the ground;</span></p>
<p><span>(ii) the maximum height above the ground reached by C .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>In a revolution, C reaches points A and B , which are at the same height above the ground as the centre of the wheel. Write down the number of seconds taken for C to first reach A and then B .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The sketch below shows the graph of the function, \(h(t)\) , for the height above ground of C, where \(h\) is measured in metres and \(t\) is the time in seconds, \(0 \leqslant t \leqslant 40\) .</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<p><span><strong>Copy</strong> the sketch and show the results of part (a) and part (b) on your diagram. Label the points clearly with their coordinates.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(14\) m <em><strong>(A1)</strong></em></span></p>
<p> </p>
<p><span>(ii) \(26\) m <em><strong>(A1)</strong></em></span></p>
<p> </p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>A:\(10\), B:\(30\) <em><strong>(A1)(A1)</strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><img src="data:image/png;base64,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" alt width="771" height="217"><span> <strong><em>(A1)</em>(ft)<em>(A1)</em>(ft)<em>(A1)</em>(ft)<em>(A1)</em>(ft)</strong></span></span></p>
<p><br><span><strong>Note:</strong> Award <strong><em>(A1)</em>(ft)</strong> for coordinates of each point clearly indicated either by scale or by coordinate pairs. Points need not be labelled A and B in the second diagram. Award a maximum of <strong><em>(A1)(A0)(A1)</em>(ft)<em>(A1)</em>(ft)</strong> if coordinates are reversed. Do not penalise reversed coordinates if this has already been penalised in Q4(a)(iii).</span></p>
<p><em><strong><span>[4 marks]</span></strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates were able to start this question. Those of an average ability completed it to the end of part (c) and the best gained good success in the latter parts. Its purpose was to discriminate at the highest level and this it did.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Some concerns were raised on the G2 forms as to the appropriateness of this question. However, the MSSL course tries in part to link areas of the syllabus to “real-life” situations and address these. A look back to past years’ examination papers, and to the syllabus documentation, should yield similar examples.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates were able to start this question. Those of an average ability completed it to the end of part (c) and the best gained good success in the latter parts. Its purpose was to discriminate at the highest level and this it did.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Some concerns were raised on the G2 forms as to the appropriateness of this question. However, the MSSL course tries in part to link areas of the syllabus to “real-life” situations and address these. A look back to past years’ examination papers, and to the syllabus documentation, should yield similar examples.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Most candidates were able to start this question. Those of an average ability completed it to the end of part (c) and the best gained good success in the latter parts. Its purpose was to discriminate at the highest level and this it did.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">Some concerns were raised on the G2 forms as to the appropriateness of this question. However, the MSSL course tries in part to link areas of the syllabus to “real-life” situations and address these. A look back to past years’ examination papers, and to the syllabus documentation, should yield similar examples.</span></p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Farmer Brown has built a new barn, on horizontal ground, on his farm. The barn has a cuboid base and a triangular prism roof, as shown in the diagram.</p>
<p style="text-align: center;"><img 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"></p>
<p style="text-align: left;">The cuboid has a width of 10 m, a length of 16 m and a height of 5 m.<br>The roof has two sloping faces and two vertical and identical sides, ADE and GLF.<br>The face DEFL slopes at an angle of 15° to the horizontal and ED = 7 m .</p>
</div>
<div class="specification">
<p>The roof was built using metal supports. Each support is made from <strong>five</strong> lengths of metal AE, ED, AD, EM and MN, and the design is shown in the following diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p style="text-align: left;">ED = 7 m , AD = 10 m and angle ADE = 15° .<br>M is the midpoint of AD.<br>N is the point on ED such that MN is at right angles to ED.</p>
</div>
<div class="specification">
<p>Farmer Brown believes that N is the midpoint of ED.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the area of triangle EAD.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the <strong>total</strong> volume of the barn.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the length of MN.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the length of AE.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that Farmer Brown is incorrect.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the <strong>total</strong> length of metal required for one support.</p>
<div class="marks">[4]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(Area of EAD =) \(\frac{1}{2} \times 10 \times 7 \times {\text{sin}}15\) <em><strong>(M1)(A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into area of a triangle formula, <strong>(A1)</strong> for correct substitution. Award <em><strong>(M0)(A0)(A0)</strong></em> if EAD or AED is considered to be a right-angled triangle.</p>
<p>= 9.06 m<sup>2</sup> (9.05866… m<sup>2</sup>) <em><strong>(A1) (G3)</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(10 × 5 × 16) + (9.05866… × 16) <em><strong>(M1)(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into volume of a cuboid, <em><strong>(M1)</strong></em> for adding the correctly substituted volume of their triangular prism.</p>
<p>= 945 m<sup>3</sup> (944.938… m<sup>3</sup>) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (G3)</strong></em></p>
<p><strong>Note:</strong> Follow through from part (a).</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{{\text{MN}}}}{5} = \,\,\,{\text{sin}}15\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into trigonometric equation.</p>
<p>(MN =) 1.29(m) (1.29409… (m)) <em><strong>(A1) (G2)</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(AE<sup>2</sup> =) 10<sup>2</sup> + 7<sup>2</sup> − 2 × 10 × 7 × cos 15 <em><strong>(M1)(A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into cosine rule formula, and <em><strong>(A1)</strong></em> for correct substitution.</p>
<p>(AE =) 3.71(m) (3.71084… (m)) <em><strong>(A1) (G2)</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>ND<sup>2</sup> = 5<sup>2</sup> − (1.29409…)<sup>2</sup> <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into Pythagoras theorem.</p>
<p>(ND =) 4.83 (4.82962…) <strong><em>(A1)</em>(ft)</strong></p>
<p><strong>Note:</strong> Follow through from part (c).</p>
<p><strong>OR</strong></p>
<p>\(\frac{{1.29409 \ldots }}{{{\text{ND}}}} = {\text{tan}}\,15^\circ \) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into tangent.</p>
<p>(ND =) 4.83 (4.82962…) <strong><em>(A1)</em>(ft)</strong></p>
<p><strong>Note: </strong>Follow through from part (c).<strong><br></strong></p>
<p><strong>OR</strong></p>
<p>\(\frac{{{\text{ND}}}}{5} = {\text{cos }}15^\circ \) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into cosine.</p>
<p>(ND =) 4.83 (4.82962…) <strong><em>(A1)</em>(ft)</strong></p>
<p><strong>Note:</strong> Follow through from part (c).</p>
<p><strong>OR</strong></p>
<p>ND<sup>2</sup> = 1.29409…<sup>2</sup> + 5<sup>2</sup> − 2 × 1.29409… × 5 × cos 75° <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into cosine rule.</p>
<p>(ND =) 4.83 (4.82962…) <strong><em>(A1)</em>(ft)</strong></p>
<p><strong>Note:</strong> Follow through from part (c).</p>
<p>4.82962… ≠ 3.5 (ND ≠ 3.5) <strong><em>(R1)</em>(ft)</strong></p>
<p><strong>OR</strong></p>
<p>4.82962… ≠ 2.17038… (ND ≠ NE) <strong><em>(R1)</em>(ft)</strong></p>
<p>(hence Farmer Brown is incorrect)</p>
<p><strong>Note:</strong> Do not award <strong><em>(M0)(A0)(R1)</em>(ft)</strong>. Award <em><strong>(M0)(A0)(R0)</strong></em> for a correct conclusion without any working seen.</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(EM<sup>2</sup> =) 1.29409…<sup>2</sup> + (7 − 4.82962…)<sup>2</sup> <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for their correct substitution into Pythagoras theorem.</p>
<p><strong>OR</strong></p>
<p>(EM<sup>2</sup> =) 5<sup>2</sup> + 7<sup>2</sup> − 2 × 5 × 7 × cos 15 <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into cosine rule formula.</p>
<p>(EM =) 2.53(m) (2.52689...(m)) <strong><em>(A1)(</em>ft) <em>(G2)</em>(ft)</strong></p>
<p><strong>Note:</strong> Follow through from parts (c), (d) and (e).</p>
<p>(Total length =) 2.52689… + 3.71084… + 1.29409… +10 + 7 <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for adding their EM, their parts (c) and (d), and 10 and 7.</p>
<p>= 24.5 (m) (24.5318… (m)) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (G4)</strong></em></p>
<p><strong>Note:</strong> Follow through from parts (c) and (d).</p>
<p><em><strong>[4 marks]</strong></em></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The Great Pyramid of Giza in Egypt is a right pyramid with a square base. The pyramid is made of solid stone. The sides of the base are \(230\,{\text{m}}\) long. The diagram below represents this pyramid, labelled \({\text{VABCD}}\).</p>
<p>\({\text{V}}\) is the vertex of the pyramid. \({\text{O}}\) is the centre of the base, \({\text{ABCD}}\) . \({\text{M}}\) is the midpoint of \({\text{AB}}\). Angle \({\text{ABV}} = 58.3^\circ \) .</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Show that the length of \({\text{VM}}\) is \(186\) metres, correct to three significant figures.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the height of the pyramid, \({\text{VO}}\) .</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the volume of the pyramid.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down your answer to part (c) in the form \(a \times {10^k}\) where \(1 \leqslant a < 10\) and \(k \in \mathbb{Z}\) .</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Ahmad is a tour guide at the Great Pyramid of Giza. He claims that the amount of stone used to build the pyramid could build a wall \(5\) metres high and \(1\) metre wide stretching from Paris to Amsterdam, which are \(430\,{\text{km}}\) apart.</p>
<p>Determine whether Ahmad’s claim is correct. Give a reason.</p>
<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Ahmad and his friends like to sit in the pyramid’s shadow, \({\text{ABW}}\), to cool down.<br>At mid-afternoon, \({\text{BW}} = 160\,{\text{m}}\) and angle \({\text{ABW}} = 15^\circ .\)</p>
<p><img 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" alt></p>
<p>i) Calculate the length of \({\text{AW}}\) at mid-afternoon.</p>
<p>ii) Calculate the area of the shadow, \({\text{ABW}}\), at mid-afternoon.</p>
<div class="marks">[6]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(\tan \,(58.3) = \frac{{{\text{VM}}}}{{115}}\) <strong>OR</strong> \(115 \times \tan \,(58.3^\circ )\) <em><strong>(A1)(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for \(115\,\,\left( {ie\,\frac{{230}}{2}} \right)\) seen, <em><strong>(M1)</strong></em> for correct substitution into trig formula.</p>
<p>\(\left( {{\text{VM}} = } \right)\,\,186.200\,({\text{m}})\) <em><strong>(A1)</strong></em></p>
<p>\(\left( {{\text{VM}} = } \right)\,\,186\,({\text{m}})\) <em><strong>(AG)</strong></em></p>
<p><strong>Note:</strong> Both the rounded and unrounded answer must be seen for the final <em><strong>(A1)</strong></em> to be awarded.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\({\text{V}}{{\text{O}}^2} + {115^2} = {186^2}\) <strong>OR</strong> \(\sqrt {{{186}^2} - {{115}^2}} \) <strong>(M1)</strong></p>
<p>Note: Award <em><strong>(M1)</strong></em> for correct substitution into Pythagoras formula. Accept alternative methods.</p>
<p>\({\text{(VO}} = )\,\,146\,({\text{m}})\,\,(146.188...)\) <em><strong>(A1)(G2)</strong></em></p>
<p><strong>Note:</strong> Use of full calculator display for \({\text{VM}}\) gives \(146.443...\,{\text{(m)}}\).</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong>Units are required in part (c)</strong></p>
<p>\(\frac{1}{3}({230^2} \times 146.188...)\) <em><strong> (M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in volume formula. Follow through from part (b).</p>
<p>\( = 2\,580\,000\,{{\text{m}}^3}\,\,(2\,577\,785...\,{{\text{m}}^3})\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></p>
<p><strong>Note:</strong> The answer is \(2\,580\,000\,{{\text{m}}^3}\) , the units are required. Use of \({\text{OV}} = 146.442\) gives \(2582271...\,{{\text{m}}^3}\)</p>
<p>Use of \({\text{OV}} = 146\) gives \(2574466...\,{{\text{m}}^3}.\)</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(2.58 \times {10^6}\,({{\text{m}}^3})\) <em><strong>(A1)</strong></em><strong>(ft)<em>(A1)</em><strong>(ft)</strong></strong></p>
<p><strong>Note:</strong> Award <strong><em>(A1)</em>(ft)</strong> for \(2.58\) and <strong><em>(A1)</em>(ft)</strong> for \( \times {10^6}.\,\)</p>
<p>Award <em><strong>(A0)(A0)</strong></em> for answers of the type: \(2.58 \times {10^5}\,({{\text{m}}^3}).\)</p>
<p>Follow through from part (c).</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the volume of a wall would be \(430\,000 \times 5 \times 1\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into volume formula.</p>
<p>\(2150000\,({{\text{m}}^3})\) <em><strong>(A1)(G2)</strong></em></p>
<p>which is less than the volume of the pyramid <em><strong>(R1)(ft)</strong></em></p>
<p>Ahmad is correct. <em><strong>(A1)(ft)</strong></em></p>
<p><strong>OR</strong></p>
<p>the length of the wall would be \(\frac{{{\text{their part (c)}}}}{{5 \times 1 \times 1000}}\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for dividing their part (c) by \(5000.\)</p>
<p>\(516\,({\text{km}})\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></p>
<p>which is more than the distance from Paris to Amsterdam <em><strong>(R1)(ft)</strong></em></p>
<p>Ahmad is correct. <em><strong>(A1)(ft)</strong></em></p>
<p><strong>Note:</strong> Do not award final <em><strong>(A1)</strong></em> without an explicit comparison. Follow through from part (c) or part (d). Award <em><strong>(R1)</strong></em> for reasoning that is consistent with their working in part (e); comparing two volumes, or comparing two lengths.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong>Units are required in part (f)(ii).</strong></p>
<p> </p>
<p>i) \({\text{A}}{{\text{W}}^2} = {160^2} + {230^2} - 2 \times 160 \times 230 \times \cos \,(15^\circ )\) <em><strong>(M1)(A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into cosine rule formula, <em><strong>(A1)</strong></em> for correct substitution.</p>
<p>\({\text{AW}} = 86.1\,({\text{m}})\,\,\,(86.0689...)\) <em><strong>(A1)(G2)</strong></em></p>
<p>Note: Award <em><strong>(M0)(A0)(A0)</strong></em> if \({\text{BAW}}\) or \({\text{AWB}}\) is considered to be a right angled triangle.</p>
<p> </p>
<p>ii) \({\text{area}} = \frac{1}{2} \times 230 \times 160 \times \sin \,(15^\circ )\) <em><strong>(M1)(A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into area formula, <em><strong>(A1)</strong></em> for correct substitutions.</p>
<p>\( = 4760\,{{\text{m}}^2}\,\,\,(4762.27...\,{{\text{m}}^2})\) <em><strong>(A1)(G2)</strong></em></p>
<p><strong>Note:</strong> The answer is \(4760\,{{\text{m}}^2}\) , the units are required.</p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>Question 4: Trigonometry, volume and area.<br>Many were able to write a correct trig ratio for part (a). The most common error was not to write the unrounded or the rounded answer. Some incorrectly used the given value of 186 in their proof. Part (b) was mostly answered correctly, with only a few candidates using Pythagoras’ Theorem incorrectly. Most candidates used the correct formula to calculate the volume of the pyramid, but some did not find the correct area for the base of the pyramid. Some lost a mark for missing or for incorrect units. Even with an incorrect answer for part (c), candidates did very well on part (d). In part (e) some excellent justifications were given. However, many struggled to convert kilometres to metres, others were confused and compared surface area instead of volume. Some thought the volumes needed to be the same. For part (f) candidates often assumed a right angle at BAW or BWA. When they used the sine and cosine rule, this was mostly done correctly.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 4: Trigonometry, volume and area.<br>Many were able to write a correct trig ratio for part (a). The most common error was not to write the unrounded or the rounded answer. Some incorrectly used the given value of 186 in their proof. Part (b) was mostly answered correctly, with only a few candidates using Pythagoras’ Theorem incorrectly. Most candidates used the correct formula to calculate the volume of the pyramid, but some did not find the correct area for the base of the pyramid. Some lost a mark for missing or for incorrect units. Even with an incorrect answer for part (c), candidates did very well on part (d). In part (e) some excellent justifications were given. However, many struggled to convert kilometres to metres, others were confused and compared surface area instead of volume. Some thought the volumes needed to be the same. For part (f) candidates often assumed a right angle at BAW or BWA. When they used the sine and cosine rule, this was mostly done correctly.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 4: Trigonometry, volume and area.<br>Many were able to write a correct trig ratio for part (a). The most common error was not to write the unrounded or the rounded answer. Some incorrectly used the given value of 186 in their proof. Part (b) was mostly answered correctly, with only a few candidates using Pythagoras’ Theorem incorrectly. Most candidates used the correct formula to calculate the volume of the pyramid, but some did not find the correct area for the base of the pyramid. Some lost a mark for missing or for incorrect units. Even with an incorrect answer for part (c), candidates did very well on part (d). In part (e) some excellent justifications were given. However, many struggled to convert kilometres to metres, others were confused and compared surface area instead of volume. Some thought the volumes needed to be the same. For part (f) candidates often assumed a right angle at BAW or BWA. When they used the sine and cosine rule, this was mostly done correctly.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 4: Trigonometry, volume and area.<br>Many were able to write a correct trig ratio for part (a). The most common error was not to write the unrounded or the rounded answer. Some incorrectly used the given value of 186 in their proof. Part (b) was mostly answered correctly, with only a few candidates using Pythagoras’ Theorem incorrectly. Most candidates used the correct formula to calculate the volume of the pyramid, but some did not find the correct area for the base of the pyramid. Some lost a mark for missing or for incorrect units. Even with an incorrect answer for part (c), candidates did very well on part (d). In part (e) some excellent justifications were given. However, many struggled to convert kilometres to metres, others were confused and compared surface area instead of volume. Some thought the volumes needed to be the same. For part (f) candidates often assumed a right angle at BAW or BWA. When they used the sine and cosine rule, this was mostly done correctly.</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 4: Trigonometry, volume and area.<br>Many were able to write a correct trig ratio for part (a). The most common error was not to write the unrounded or the rounded answer. Some incorrectly used the given value of 186 in their proof. Part (b) was mostly answered correctly, with only a few candidates using Pythagoras’ Theorem incorrectly. Most candidates used the correct formula to calculate the volume of the pyramid, but some did not find the correct area for the base of the pyramid. Some lost a mark for missing or for incorrect units. Even with an incorrect answer for part (c), candidates did very well on part (d). In part (e) some excellent justifications were given. However, many struggled to convert kilometres to metres, others were confused and compared surface area instead of volume. Some thought the volumes needed to be the same. For part (f) candidates often assumed a right angle at BAW or BWA. When they used the sine and cosine rule, this was mostly done correctly.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 4: Trigonometry, volume and area.<br>Many were able to write a correct trig ratio for part (a). The most common error was not to write the unrounded or the rounded answer. Some incorrectly used the given value of 186 in their proof. Part (b) was mostly answered correctly, with only a few candidates using Pythagoras’ Theorem incorrectly. Most candidates used the correct formula to calculate the volume of the pyramid, but some did not find the correct area for the base of the pyramid. Some lost a mark for missing or for incorrect units. Even with an incorrect answer for part (c), candidates did very well on part (d). In part (e) some excellent justifications were given. However, many struggled to convert kilometres to metres, others were confused and compared surface area instead of volume. Some thought the volumes needed to be the same. For part (f) candidates often assumed a right angle at BAW or BWA. When they used the sine and cosine rule, this was mostly done correctly.</p>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A contractor is building a house. He first marks out three points A , B and C on the ground such that AB = 5 m , AC = 7 m and angle BAC = 112 °.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the length of BC.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>He next marks a fourth point, D, on the ground at a distance of 6 m from B , such that angle BDC is 40° .</span></p>
<p> </p>
<p><span><img 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" alt></span></p>
<p><span>Find the size of angle DBC .</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>He next marks a fourth point, D, on the ground at a distance of 6 m from B , such that angle BDC is 40° .</span></p>
<p><img src="images/3c.png" alt> </p>
<p><span>Find the area of the quadrilateral ABDC.</span></p>
<p> </p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>He next marks a fourth point, D, on the ground at a distance of 6 m from B , such that angle BDC is 40° .</span></p>
<p> </p>
<p><span><img 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" alt></span></p>
<p><span> </span></p>
<p><span>The contractor digs up and removes the soil under the quadrilateral ABDC to a depth of 50 cm for the foundation of the house.</span></p>
<p><span>Find the volume of the soil removed. Give your answer in <strong>m<sup>3</sup></strong> .</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>He next marks a fourth point, D, on the ground at a distance of 6 m from B , such that angle BDC is 40° .</span></p>
<p> </p>
<p><span><img 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" alt></span></p>
<p><span> </span></p>
<p><span>The contractor digs up and removes the soil under the quadrilateral ABDC to a depth of 50 cm for the foundation of the house.</span></p>
<p><span>To transport the soil removed, the contractor uses cylindrical drums with a diameter of 30 cm and a height of 40 cm.</span> </p>
<p><span>(i) Find the volume of a drum. Give your answer in <strong>m<sup>3</sup> </strong>.</span></p>
<p><span>(ii) Find the minimum number of drums required to transport the soil removed.</span></p>
<div class="marks">[5]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><em><strong><span>Units are required in part (c) only.</span></strong></em></p>
<p><em><strong><span> </span></strong></em></p>
<p><span>BC<sup>2</sup> = 5<sup>2</sup> + 7<sup>2</sup> − 2(5)(7)cos112° <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution in cosine formula, <em><strong>(A1)</strong></em> for correct substitutions.</span></p>
<p> </p>
<p><span>BC = 10.0 (m) (10.0111...) <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> If radians are used, award at most <em><strong>(M1)(A1)(A0)</strong></em>.</span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong><span>Units are required in part (c) only.</span></strong></em></p>
<p><em><strong><span><br></span></strong></em><span>\(\frac{{\sin 40^\circ }}{{10.0111...}} = \frac{{\sin {\text{D}}{\operatorname{\hat C}}{\text{B}}}}{6}\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for substitution in sine formula, <strong><em>(A1)</em>(ft)</strong> for their correct substitutions. Follow through from their part (a).</span></p>
<p> </p>
<p><span>\({\text{D}}{\operatorname {\hat C}}{\text{B}}\) = 22.7° (22.6589...) <em><strong>(A1)</strong></em><strong>(ft)</strong></span><span> </span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(A2)</strong></em> for 22.7° seen without working. Use of radians results in unrealistic answer. Award a maximum of <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong><em><strong>(A0)</strong></em><strong>(ft)</strong>. Follow through from their part (a).<br></span></p>
<p><span> </span></p>
<p><span><span>\({\text{D}}{\operatorname {\hat C}}{\text{B}}\) = </span>117° (117.341...) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span><span> </span></p>
<p><span><strong>Notes:</strong> Do not penalize if use of radians was already penalized in part (a). Follow through from their answer to part (a).</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p><span>From use of cosine formula </span></p>
<p><span>DC = 13.8(m) (13.8346…) (<em><strong>A</strong><strong>1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong>Note:</strong> Follow through from their answer to part (a).</span></p>
<p><span> </span></p>
<p><span>\(\frac{{\sin \alpha }}{{13.8346...}} = \frac{{\sin 40^\circ }}{{10.0111...}}\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in the correct sine formula.</span></p>
<p> </p>
<p><span><span>α = </span>62.7° (62.6589) <strong><em>(A1)</em>(ft)</strong></span></p>
<p><span><strong>Note:</strong> Accept 62.5</span><span><span>°</span> from use of 3sf.</span></p>
<p> </p>
<p><span><span><span>\({\text{D}}{\operatorname {\hat B}}{\text{C}}\) = </span></span>117(117.341...) <strong><em>(A1)</em>(ft)</strong> </span></p>
<p><span><strong>Note:</strong> Follow through from their part (a). Use of radians results in unrealistic answer, award a maximum of <em><strong>(A1)(M1)(A0)(A0)</strong></em>.</span></p>
<p><em><strong><span>[4 marks]</span></strong></em></p>
<p> </p>
<p> </p>
<p> </p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><span><strong><em>Units are required in part (c) only.</em></strong></span></span></p>
<p> </p>
<p><span>\({\text{ABDC}} = \frac{1}{2}(5)(7)\sin 112^\circ + \frac{1}{2}(6)(10.0111...)\sin 117.341...^\circ \) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong><em><strong>(M1)</strong></em></span><span><strong>N</strong></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution in both <strong>triangle</strong> area formulae, <strong><em>(A1)</em>(ft)</strong> for their correct substitutions, <em><strong>(M1)</strong></em> for seen or implied addition of their two <strong>triangle</strong> areas. Follow through from their answer to part (a) and (b).</span></p>
<p> </p>
<p><span>= 42.9 m<sup>2</sup> (42.9039...) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><span><strong>Notes:</strong> Answer is 42.9 m<sup>2</sup> <em>i.e.</em> <strong>the units are required</strong> for the final <strong><em>(A1)</em>(ft)</strong> to be awarded. Accept 43.0 m<sup>2</sup> from using 3sf answers to parts (a) and (b). Do not penalize if use of radians was previously penalized.</span></p>
<p><em><strong><span>[4 marks]</span></strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><span><strong><em>Units are required in part (c) only.</em></strong></span></span></p>
<p> </p>
<p><span>42.9039... × 0.5 <em><strong>(M1)(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for 0.5 seen (or equivalent), <em><strong>(M1)</strong></em> for multiplication of their answer in part (c) with their value for depth.</span></p>
<p> </p>
<p><span>= 21.5 (m<sup>3</sup>) (21.4519...) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></span></p>
<p><span><strong>Note:</strong> Follow through from their part (c) only if working is seen. Do not penalize if use of radians was previously penalized. Award at most <em><strong>(A0)(M1)(A0)</strong></em><strong>(ft)</strong> for multiplying by 50.</span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><span><strong><em>Units are required in part (c) only.</em></strong></span></span></p>
<p> </p>
<p><span>(i) π(0.15)<sup>2</sup>(0.4) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong>OR</strong> </span></p>
<p><span><span>π </span></span><span><span><span>× </span></span>15<sup>2 </sup></span><span><span>×</span> 40 (28274.3...) <em><strong>(M1)(A1)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(M1)</strong></em> for substitution in the correct volume formula. <em><strong>(A1)</strong></em> for correct substitutions.</span></p>
<p><span> </span></p>
<p><span>= 0.0283 (m<sup>3</sup>) (0.0282743..., 0.09</span><span><span>π</span>)</span></p>
<p> </p>
<p><span>(ii) \(\frac{{21.4519...}}{{0.0282743...}}\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct division of their volumes.</span></p>
<p><br><span>= 759 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><strong>Notes:</strong> Follow through from their parts (d) and (e)(i). Accept 760 from use of 3sf answers.</span> <span>Answer must be a positive integer for the final <em><strong>(A1)</strong></em><strong>(ft)</strong> mark to be awarded.</span></p>
<p> </p>
<p><em><strong><span>[5 marks]</span></strong></em></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The responses to this question showed appropriate use of sine and cosine formulae for the most part. A few students still used the Pythagorean formula incorrectly, although the given triangles were not right ones. There was an occasional use of GDC set to radians, and very few students lost marks for giving their answers in radians. In part (d), converting from cm<sup>3</sup> to m<sup>3</sup> was largely problematic for the great majority of students. Part (e) also was difficult for some students, as it requires some interpretation before the volume formula is used.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The responses to this question showed appropriate use of sine and cosine formulae for the most part. A few students still used the Pythagorean formula incorrectly, although the given triangles were not right ones. There was an occasional use of GDC set to radians, and very few students lost marks for giving their answers in radians. In part (d), converting from cm<sup>3</sup> to m<sup>3</sup> was largely problematic for the great majority of students. Part (e) also was difficult for some students, as it requires some interpretation before the volume formula is used.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The responses to this question showed appropriate use of sine and cosine formulae for the most part. A few students still used the Pythagorean formula incorrectly, although the given triangles were not right ones. There was an occasional use of GDC set to radians, and very few students lost marks for giving their answers in radians. In part (d), converting from cm<sup>3</sup> to m<sup>3</sup> was largely problematic for the great majority of students. Part (e) also was difficult for some students, as it requires some interpretation before the volume formula is used.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The responses to this question showed appropriate use of sine and cosine formulae for the most part. A few students still used the Pythagorean formula incorrectly, although the given triangles were not right ones. There was an occasional use of GDC set to radians, and very few students lost marks for giving their answers in radians. In part (d), converting from cm<sup>3</sup> to m<sup>3</sup> was largely problematic for the great majority of students. Part (e) also was difficult for some students, as it requires some interpretation before the volume formula is used.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The responses to this question showed appropriate use of sine and cosine formulae for the most part. A few students still used the Pythagorean formula incorrectly, although the given triangles were not right ones. There was an occasional use of GDC set to radians, and very few students lost marks for giving their answers in radians. In part (d), converting from cm<sup>3</sup> to m<sup>3</sup> was largely problematic for the great majority of students. Part (e) also was difficult for some students, as it requires some interpretation before the volume formula is used.</span></p>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A random sample of 167 people who own mobile phones was used to collect data on the amount of time they spent per day using their phones. The results are displayed in the table below.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img 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" alt></span></p>
</div>
<div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Manuel conducts a survey on a random sample of 751 people to see which television programme type they watch most from the following: Drama, Comedy, Film, News. The results are as follows.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img 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" alt></span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Manuel decides to ignore the ages and to test at the 5 % level of significance whether the most watched programme type is independent of <strong>gender.</strong></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State the modal group.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your graphic display calculator to calculate approximate values of the mean and standard deviation of the time spent per day on these mobile phones.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>On graph paper, draw a fully labelled histogram to represent the data.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Draw a table with 2 rows and 4 columns of data so that Manuel can perform a chi-squared test.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State Manuel’s null hypothesis and alternative hypothesis.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">ii.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the expected frequency for the number of females who had ‘Comedy’ as their most-watched programme type. Give your answer to the nearest whole number.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">ii.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Using your graphic display calculator, or otherwise, find the chi-squared statistic for Manuel’s data.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">ii.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>(i) State the number of degrees of freedom available for this calculation.</span></p>
<p><span>(ii) State his conclusion.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">ii.e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(45 \leqslant t < 60\) <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>Unit penalty <strong>(UP)</strong> is applicable in question part (i)(b) <strong>only</strong>.</em><br></span></p>
<p><span><em><strong>(UP)</strong></em> 42.4 minutes <em><strong>(G2)</strong></em></span></p>
<p><span>21.6 minutes <em><strong>(G1)</strong></em></span></p>
<p><span><em><strong>[3 marks]<br></strong></em></span></p>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAdQAAAD/CAIAAADHWbB6AAAcJElEQVR4nO2dcWgb2Z3H3x8D+sPghYL+mBJoQXALIiSQXApbDNFhUI8sdNkFQXw5K4vvj1y1XELw2k2ObmfTkmSTsFsS6qwve7mku1vnrDjXo2324iBjuDRrnU26ZKtYMQ3NNpZ04D0a2fKxduce7/54GmlGVhJHfqPx/Ob7+WsdyfrO6P3mM29+88bLBAAAgLbDvN4AAAAIIu2S79Lk+LlYjB0wimYb0nhh5OIhnTHGWDx2firH25Apg3NTHx04HN6ayFbaFQkA8CXMzCYiTKKH3xyve6poJFmNDUrzwUR/p4rPWR88889/FdIv5Dm/m+nXmX50qNwe+66URncwxhiLQb4AgKdjzXyrqt26Lf2FzY6Lc8MRbWCipCBoYeZkuD3y5flU3DP9Sf9CvgCAZ1CX72vh7/Z2aYy9nMg+tl5dKY3uCJ2aWVEQ1D75mtlEBPIFAGxu6vKNRtPz80afzpj+hjG/KoSoydc002dkbyJ5LSdM6+I6Ek0/EjyX/SjRq3UlbmRvHIvqjLHYUWN2ofib15O6vZUh5fs3iY9OD3RpjDGt96cjBZliVu69987eDsYY05OJX99fEEIsTd64nOjVul79+GdHujQWey9dcbYOqk1keZU/eHBKSv3O2L5QvVnSIMHqZ/alrp9bsw1CLE1Wt59tjR77ZHJJxpXy11Pyzbb2cWn2l0dOJr4Wff9XV2VnWU/23C6Z1jdmy222awAA0CDfnFgtju+JMWbJzjbzLQ8N6lK+Qghz8Wa3ziLR9B8sEVdFxueNPp1pXX2vfjy7IFYKo7t0tjM2/qUl33jsSn5BrEg1a33X7nLB543XQ/t6bpeqLVr2ciL7aOZkuPqxfT//9JM9Xdr3rPOBEEIIPn0t2aH1Xs4scVG5/sHeDvuE/Qkz31rfeWv0xK0c55V7B2vbIPj02N5w9MStHJffgB4+mZXbr2l9qXtlIUr589t0podPflq42a3bdrm6AdUzlkO+zXbtsQAAgDXyFXXLvDme42ZdvnLyW5WvFFwkmn60Zq53Z2xfiMUvTvKGtzW0HRbnhiOMJVL5x/a2Ms+n4oxpAxOl6vxairsRnk/FbS9J4ztDm174P2kbvuL5VLd2pHpfjmcudmtMPzr0p99e7NbqLW8+fS3ZId9v26/a9uj6hfz/Ob6NxSfsGgAANJFvzTJbo+/fud+afCNn0mbD2xrEJ+fOsUT2c2ejoKG50dSha/qqUpeO0PXIV27Dzth4qTZ/t3Hg3O0jScZsLW8p61giW2mQr7wssJ0zZPqdJ+waAAA0la8QojJyuktjLPbaa+E2yLfZPb2n3LmqS9D6l7Wh65Fv7Z2PS6M7ar9eQ85VbdtW36RG+ZrpMxH5zpUG+Sq6XQkAoMYT5Fu7lq/ZR84ulcl3cW44wvSjQ+X/nujvdN5PW340mV942sy3NmO1OhI8Y+8PPF/bQT86VP7z4s1u3dmQ5X+8df/RWWs+K5zv583aDnJ77N/GgyfsGgAAWPLl+ZSuX5h0LChYljffrLnbg4n+TnlbiRcuvSvv4LNIND03NxypN2ebdAB0/UKeV6er9RtuvdpfyDXFfN7o07Tw4cvp+VUhzMrsj3s+vM+bTG9tVG+4ybUKy8Vx+x25NWquI+W7Nfr+5wuCV+4d7NW08MnsgvWB9VUTS5kPe0Ym+WphdJem9cqVDLxwdnB7p9xm+WSK445fVbKL9m+j6a614wk/AMCmhzlbk7ZLaSHkzbeOd6R8Tbk8gDE9fHjsd+Ovhl4aSH14fexH4frvfvzxmUjtpzO3btWenWOhUzMmz2U/SiT1hsVhQojl4qeHncu5lmqrHZ7o3/rKMKb1vnv2XlkI0dhmbewkVFdc9H3vRd2xdEwIxxPJuqVLIUTp/q96qttsWysmTyrhN96wvhD5/gXbZstvcu2uKRs5AICvCdQf1lH2oEdjzxcAAJ4TyLcVIF8AwAYJlHzlcxaJVP6rjX2ObCvr+oU8GrgAgNYIjnzt7eCN/O2FFfuiYKwkAwC0RnDkCwAAmwjIFwAAPICafB8/xl+uAQD4AFLyvXTp0v79+73eCgAAeDak5PuNb3yDMfbw4UOvNwQAAJ4BHfleunRJrkDA5BcAsPmhI1857ZVg8gsA2OQQkW9t2ovJLwDAFxCRr33ai8kvAGDzQ0G+DdNeTH4BAJsfCvJdO+3F5BcAsMnxvXybTnsx+QUAbHJ8L9+HDx9OWmzfvp0xVvvxs88+83rrAACgOb6Xr53du3czRmqPAABUIaUqyBcA4BdIqQryBQD4BVKqgnwBAH6BlKogXwCAXyClKsgXAOAXSKkK8gUA+AVSqoJ8AQB+gZSqIF8AgF8gpSrIFwDgF0ipCvIFAPgFUqqCfAEAfoGUqiBfAIBfIKUqyBcA4BdIqQryBQD4BVKqgnwBAH6BlKogXwCAXyClKsgXAOAXSKkK8gUA+AVSqoJ8AQB+gZSqIF8AgF8gpSrIFwDgF0ipCvIFAPgFUqqCfAEAfoGUqiBfAIBfIKUqyLf9MK/x+gsAoEVI1S7k2348/MIx1sDXkCpfyLf9QL4AtAap8oV82w/kC0BrkCpfyLf9QL4AtAap8oV82w/kC0BrkCpfyLf9QL4AtIbL5cvvZvp1FjmTNmv/kps6EdUZYyweOz+V4yrTIN/2A/kC0Bqulu9yYXSXzphNvvMzx7ew2NtDhVVeODu4vXNb+gvz6Z/x/CtJ3dwj0AjkC0BruFi+fN54PbSj61taTb48n4qznbHxL4UQQizODUeYfnSorGz2i5lv+4F8AWgN18q3cn2468VE9rdj+0KWfBfnhiOMHTCK1cmu08UKgHzbD+QLQGu4VL7z0z96Mfr+50vijk2+Dyb6Ox3936KRZLp+If/MzsM6gXzbD+QLQGu4Ub5mJfu30Tdu5LgQDvna/1sIIeXLQqdmVhQFQ77tB/IFoDXUly8vnH0jeipdkZ3cZ8oXM19/A/kC0BrKy3elNLqj2RqEyLfSv2+4w2ZmExH0fH0O5AtAa7hdvo7ZLlY70APyBaA12ipfwaevJTu03suZJbMya/Svb53v+oF82w/kC0BrtFe+QoilzNVDOpNPuF3JLygNg3zbD+QLQGuQKl/It/1AvgC0BqnyDax8n/cJbLV4uNdeRQOwcUiVb5Dli2gA/AWp8oV8EQ2AXyBVvt5eBXtIMA0YzLEGZCBVvpAvogHwC6TKF/JFNAB+gVT5Qr6IBsAvkCpfyBfRAPgFUuUL+SIaAL9AqnwhX0QD4BdIlS/ki2gA/AKp8oV8EQ2AXyBVvpAvogHwC6TKlzH2wgsveL0VHhBMA0K+wNeQKl/G2O7du73eCg8IpgEhX+BrSJUv5ItoAPwCqfL1UL7r+8u3LuLJXgvIF4BWIVW+zFP5epLreXowowHYOKTKF/JFNAB+gVT5Qr6IBsAvkCpfyBfRAPgFUuUL+SIaAL9AqnwhX0QD4BdIlS/ki2gA/AKp8oV8EQ2AXyBVvpAvogHwC+6UL89NnYjqjDHGtN53z94rN3spHjs/leMqYyFfRAPgF9wo3/npf/xOz+2SKQQvnD3SpbH4xcmqZOdnjm9hsbeHCqu8cHZwe+e29BemumDIF9EA+AW3y3elNLqD6UeHylwIwfOpONsZG/9SCCHE4txwpPaSEiBfRAPgF9wu3weZQ7o1vV2cG44wdsAoVie7ThcrAPJFNAB+wc3yXZq8cSwaGpgoVX9+MNHfySJn0rVGQ9FIMl2/kH965+G5/rgX5ItoAHyBW+VrZhMRS4ha37W7XAhxZ2xfaI18WejUzIqiUMgX0QD4BVfLd7l423hnbwer9haayvfZM9/1A/kiGgC/4Hr58nwqziLR9KO1d9jMbCKCnq/P04MZDcDGcb98y0MD2l8nso8FVjtQTA9mNAAbx+Xy5Xczh7eE3xyvPkzBp68lO7Tey5klszJr9GOdr//TgxkNwMZxoXwrI6e7tOq9tthg6kPnY2xLmauH5LNv8diV/ILSZMgX0QD4BVLlC/kiGgC/QKp8IV9EA+AXSJUv5ItoAPwCqfKFfIMW7SFe7TUgA6kagnwRTT4akIFUDUG+iCYfDchAqoYgX0STjwZkIFVDkC+iyUcDMpCqIcgX0eSjARlI1RDki2jy0YAMpGoI8kU0+WhABlI1BPkimnw0IAOpGoJ8EU0+GpCBVA1BvogmHw3IQKqGIF9Ek48GZCBVQ5AvoslHAzKQqiHIF9HkowEZSNVQK3+cSh3e7jiiAxINyECqhhhmvoimHg3IQKqGIF9Ek48GZCBVQ5AvoslHAzKQqiHIF9HkowEZSNUQ5Ito8tGADKRqCPJFNPloQAZSNQT5Ipp8NCADqRqCfBFNPhqQgVQNQb6IJh8NyECqhiBfRJOPBmRwp4Z4bupEVJdP3cYGD04VzSYvxWPnp3JcZSzki2jy0YAMbtTQ/PRbu2JX8gtC8MKld/d2MPZyIvtYvjRzfAuLvT1UWOWFs4PbO7elvzCf8WnPAeSLaPLRgAwu1FB5OJH6dMH6iedTccZCp2ZWqv+9Mzb+pRBCiMW54QjTjw6Vlc1+IV9Ek48GZHC/hopGsircxbnhCGMHDKsJ4XTxkzfxeYB8EU07GpDB7RoyF292a9qRoTIX4sFEfyeLnEnXGg1FI8l0/UJeVecB8kU0+WhABpdriE+P7Q1bjd07Y/tCa+Rb7UgoAfJFNPloQAZXa2i58K8v6SeyVv+3qXwx8/V3OqIBaA33asis3DscS35iW0zWeIfNzCYi6+j5rh/IF9HkowEZ3KohXjibjP1TZsmxkgGrHeilIxqA1nClhhrNy++Of+eHQ2Uu+PS1ZIfWezmzZFZmjX6s8/V/OqIBaA31NcQLZ490aQ0rwLSBiZJ8eSlz9ZB89i0uH8RQCOSLaPLRgAykagjyRTT5aEAGUjUE+SKafDQgA6kagnwRTT4akIFUDUG+iCYfDchAqoYgX0STjwZkIFVDkC+iyUcDMpCqIcgX0eSjARlI1RDki2jy0YAMpGoI8kU0+WhABlI1BPkimnw0IAOpGoJ8EU0+GpCBVA1BvogmHw3IQKqGIF9Ek48GZCBVQ5AvoslHAzKQqiHIF9HkowEZSNUQ5Ito8tGADKRqCPJFdNuivcWrHQcKITWKDPJFNPVoz9OBKkiNIuSLaPLRnqcDVZAaRcgX0eSjPU8HqiA1ipAvoslHe54OVEFqFCFfRJOP9jwdqILOKD5+/BjyRTT5aM/TgSrojOLk5CTki2jy0Z6nA1XQGUXIF9FBiPY8HaiCzihCvogOQrTn6UAVdEYR8kV0EKI9TweqoDOKkC+igxDteTpQhWujuDR5/eKB/p0d0fQjx7/z3NSJqM4YY/HY+akcVxYI+SI6CNGepwNVuDSKDyb6OxljjEWc8p2fOb6Fxd4eKqzywtnB7Z3b0l+Yz9zE5wHyRTTtaM/TgSpcHEWeT8Wd8uX5VJztjI1/KYQQYnFuOML0o0NlNbNfzHwRHYRoz9OBKtwcxaKRdMh3cW44wtgBo1id7DpdvFEgX0QHIdrzdKCKdsr3wUR/J4ucSZv2N+j6hfwzOw/rAfJFdBCiPU8HqminfO+M7QutkS8LnZpZUZEm5fvKK6+o+LDnJrBHI6KDlg5U4bl8Fc98DcNQ8WHPTWCPRkQHLR2oou09X9sdNjObiKju+UK+iKYd7Xk6UEU75duO1Q6QL6JpR3ueDlTh9lIzZ1eBT19Ldmi9lzNLZmXW6F/fOt91AvkiOgjRnqcDVbg0igszJ8P1Jx/sfd6lzNVDOpNPuF3JL6iLhHwRHYRoz9OBKuiMIuSL6CBEe54OVEFnFCFfRAch2vN0oAo6owj5IjoI0Z6nA1XQGUXIF9FBiPY8HaiCzihCvogOQrTn6UAVdEYR8kV0EKI9TweqoDOKkC+igxDteTpQBZ1RhHwRHYRoz9OBKuiMIuSL6CBEe54OVEFnFCFfRAch2vN0oAo6owj5IjoI0Z6nA1XQGUXIF9FBiPY8HaiCzihCvogOQrTn6UAVdEYR8kV0EKI9TweqoDOKkC+igxDteTpQBZ1RhHwRHYRoz9OBKuiMIuSL6CBEe54OVEFnFCFfRAch2vN0oAo6owj5IjoI0Z6nA1XQGUXIF9FBiPY8HaiCzihCvogOQrTn6UAVdEYR8kV0EKI9TweqoDOKkC+igxDteTpQBZ1RhHwRHYRoz9OBKuiMIuSL6CBEe55OFcMw9u/f//Dhw7Yl0hlFyBfRQYj2PJ0qhmEwxhhjbVMwnVGEfBEdhGjP06lSk2/bFOzlKE4q5Sc/+Yn8ytR+7DphjHmS63k6ooOWTpX9+/ezNbiqYM/ke+jQobW7CgAAm439+/e74UDP5PvZZ58ZSpEnrt27d6v92HXCGPMk1/N0RActnSq7d+9+knldmvzSaR5NoueL6ABEe55OFcPZ83VVuxI6owj5IjoI0Z6nU8Uu3/YseKAzipAvooMQ7Xk6VaR827nUl84oQr6IDkK05+lUmZycbOcTFgLyVUVgj0ZEBy0dqILOKEK+iA5CtOfpQBV0RhHyRXQQoj1PB6qgM4oPHz584YUXfvGLX3iSHtijEdFBSweqwCiqIbBHI6KDlg5UgVFUQ2CPRkQHLR2oAqOohsAejYgOWjpQBUZRDYE9GhEdtHSgCoyiGgJ7NCI6aOlAFRhFsCEgAgBaA0cO2BCQLwCtgSMHbAjIF4DWwJEDAAAeAPkCAIAHQL4AAOABkC8AQBV3xvaFQqdmVvzxsUKIldLoDhY5kzbVf/QzoSBfXrj07t4OxhiLDR6cKrb1a1yavH7xQP/Ojmj6UeNWzRt9eu3/S5JI5b/acNhy8TevJ+Vn6snEr+8vNHlJDx++nJ5f3XDWuuCFs0e6NMdRwaevJTusvdb1C3nVw1Ga/eWRd+RwJ6/lqqG5qRNRnTHG4rHzUzmuOFIIIYRZyfbEGv4nX/rRobIMWy6M7qqPdvzipEvbcO+96r437mkbCmClNLqDPQmP/LUJMBf/o6cnW2nhN/0v38rIqZdC4TfHc3y1OL6nS/ue0S71CPFgor9Tlt4a+c7PHP9m+GR2ofkvtoBZyf5d7K3/zHEh+N1Mv24TuvRCvPtmgfO7mX5d67t215WD34nlWZt8zUq2Jxw+na64E7+UuXpIZyweO/dvNr/MzxzfwmJvDxVWeeHs4PbObekv1HuAT1/pThmzZevnxbnhiDYwUZI/VUZOhmOJ7GPlsY5NmDf6tL+Ivv/5guCVewd7Nc0qsPYUwMLM8W9G3/98Qf73yTBjB4yiKYRZmTUO6d+3zkMBg2cu6HoikPJdnBuO1CcgPHOxW6sfEm2B51PxNfLl88brob938TRQNJJsZ2z8SyEa95rnU/HaSy6yXBjdFXrppW/b5cunx/aGXXGfsFyv96XulR3/7NhfZz0oZOlW+q4tl2c++MuvWaHLhdFdodfHXD7hLc4NR2wTzMW54Uj1BNymAljI9vRYX6xdvkKIxfunE0Z7rzk3B6X8+W06iwVSvjxzsVurX366d+w9haKRbJSvNSPWk4nLNyeXlG+MuXizu3a0N9q/HWcgs3Lv4Cv66duzP0jW5Wsu3uzWGWNsa/TYx0O58rM+5LmQ1/Vb15hdOqhmgTade3g+1a0dqZZZeWhQZ4wxrff0D/59Vt21TgN3xvaF7Ff3tT31ogAa5CupdoRkPfD5dPpYVPv6iZHPZKtEDx8em3z8sNYg6r5ZMIVw9FIam2lNPlbwXPajRK/Wlbjx6dVDOmNMXvQ0/M760s1KbvjKsaj29dNpUwixXLxtvLO3I3TqZu5Kd8x6GzfTZyLManOZVu8lEk3fzZ/fVu81yaFZmrxxLGodBZ9Uj/3qFRvTek//7Eis1qPwuXzLQ4O6/bJXtqWUNFjXTRP5CiGE4Lmpjw4MdGlrJ2sbo3T/Vz37QtaRX1We/dx7Z2xfyLW2oxBCiMrICb03da8sikbS0XYQQiwXb528cEhnbKt1iaoCeZbVkz/8oVXZJ27luKie5+wNx6KRdKXXbMfZc5AbOJ9On4vFGNN6L2fUn25FdU9tEwvLuQ89KIBm8uX5VJwx2YYy5TbUR2q1MLpLZ5Hwaz8yZsvWRczRoTLn88broX09t0u82kx7uaF7Y//YP1fPtfJU99ORwirPp+JNhnt96X/67cVurebNWhDTkz23S1yWnPwa5fm1OsmTR5w85KVwrC+fT4/tDcvE4vieGNPDJ7ML4n/nhiNWI2i5MLKHinwbD37nd9G+bWgmX0nl+gd7O1jsPTVt0NpJmDGmv2HMrzbb5cYpkmrmp9/aVZ22NJGvRF6ONR5ILSOPseqtpOrtNV2/kOdrd/aJm6QOR8/BjulsxapFHvN6+PDY5BK3voSdsfFS2wtAPGHm2/DlOzfDcVKs/XrFfhqT+msyZ3d8rLPg5RFRv/atsZ50s9nbakG2tzlTzGwi0ky+juuh6nTh6FC5PHMy3PSUTFK+m2Pma8HzqbjS84G8pNKrZWo2P/bcmvgsF298N3psqiqXp5iOZy52a6okaGYTEXszoTJyukvOSn7fTL7uznwdx1gjDZ1ZtZTuVy+H9fBhY6BLHtur7S0ASWvyXeu131tTVBtrTapGvs2sqlK+TVeDHDCKq9Y6mYYbxX6Xb2N7a2HmZHgT9HydlIcGtC7Fk3Fbs7uxy2mmz0SaTR/UcKfJ0VItsgbfPJjo73RLvvVj5quGLv+adyqnSc/BvqWLN7utHqKblIcGrCl2ewtAolK+zy4SH8m3+Xm32lzWGbP3VXwu302w2mE9M9+t6ldfPcgc/lr18tab1Q5CiGfMfC/o31a2+qo8NKjbhXJnbF9I/tim1Q41nrFfi/eHX3Sn7WCjoZflQQGokm9xor/T2ZRbfjSZb/z2PJev88b+E+Qr+0KOVhv/461btm6DXBdf+xy/y7e++PGxKN2/0t3edb5CWO1I+3Uun0+fM+RCd7MyaxxWvwJ0uTi+Jxz+gXWTd7kwukvT+lL3yvK+apvW+QpnsfLc7XPGj39TNIUQS5mr/7BFqYPkaod4980CF8vF8T1dmnUbk09fS3ZovZczS2Zl1uh3aZ1vFbOS7Qlv/cB2Rb9cvHXaOHc7x4VsC7i4zFkIIUr566mBLk3ebqptQ7sLoLrEu7G/52ja1puevPaS02uJVP4rPm/0aZr1YIhZmf1xz4f3G4bP2QuW99ws+cpbYWt7LOtLf+rb5JoluY/ybucbxvxq/ZEuFomm/1Aa3cHYztj43FTq3XT5/rVkR/1Rr6XMhz0jk3zpv76/pyqlysjprvpp0vfylYIb6NIYYyx21LYMvg3IUXSuNamd36q9uQ8ULbqanzm+xUpqbB45u4FjLixuewIO+cq71YwxxmKDqetr5i8bpbaPax5ltJbyMBaPXVGea+dB5vDXnA3l5eL4nlh9XMZd+/KtYosNpj5c+xRf+wrAzCZqN32Z7brH8e+JZLL+w4F/+fl3I/X3T3xaP2piiez/FD89XD1+mz2g6PjY5MUx++9+dDpZf8k2+bXfl35aup2Gt125Um+vHTCKq5V7B60HCMd+N/5q6KUBOQrVg11P9twumULwwsjFainWHjVcmH4rlrh8YqBLaxgdAvIFAAD/AfkCAIAHQL4AAOABkC8AAHjA/wNu1afYIhHpMgAAAABJRU5ErkJggg==" alt> <span><em><strong>(A4)</strong></em></span></p>
<p><span><em><strong>[4 marks]<br></strong></em></span></p>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><img src="data:image/png;base64,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" alt><span> <em><strong>(M1)(M1)(A1)</strong></em></span></span></p>
<p><span><span><em><strong>[3 marks]<br></strong></em></span></span></p>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>H<sub>0</sub>: favourite TV programme is independent of gender or no association between favourite TV programme and gender</span></p>
<p><span>H<sub>1</sub>: favourite TV programme is dependent on gender<em> (must have both)</em> <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">ii.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{365 \times 217}}{{751}}\) <em><strong>(M1)</strong></em></span></p>
<p><span>\(= 105\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><span><em><strong>[2 marks]<br></strong></em></span></p>
<div class="question_part_label">ii.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>12.6 <em>(accept</em> 12.558<em>)</em> <em><strong>(G3)</strong></em></span></p>
<p><span><em><strong>[3 marks]<br></strong></em></span></p>
<div class="question_part_label">ii.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) 3 <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong> </strong></em></span></p>
<p><span>(ii) reject H<sub>0</sub> <em>or equivalent statement (e.g. accept H<sub>1</sub>) <strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong> </strong></span></p>
<p><span><strong><em>[3 marks]</em><br></strong></span></p>
<div class="question_part_label">ii.e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates who had survived the previous two unit penalties, fell here with omission of units for the mean and standard deviation. The modal group was answered well. Part (b), finding the mean and standard deviation by GDC, was answered very poorly. Most did put the midpoints in one list and the frequencies in a second list but then either used the 2-Var stats button or 1-var stats button but only named L1 instead of L1, L2. Candidates who showed midpoints in their working did at least score a method mark.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">i.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates who had survived the previous two unit penalties, fell here with omission of units for the mean and standard deviation. The modal group was answered well. Part (b), finding the mean and standard deviation by GDC, was answered very poorly. Most did put the midpoints in one list and the frequencies in a second list but then either used the 2-Var stats button or 1-var stats button but only named L1 instead of L1, L2. Candidates who showed midpoints in their working did at least score a method mark.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">i.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates who had survived the previous two unit penalties, fell here with omission of units for the mean and standard deviation. The modal group was answered well. Part (b), finding the mean and standard deviation by GDC, was answered very poorly. Most did put the midpoints in one list and the frequencies in a second list but then either used the 2-Var stats button or 1-var stats button but only named L1 instead of L1, L2. Candidates who showed midpoints in their working did at least score a method mark.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">i.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The chi-squared question was answered well by the majority of candidates and almost all found the chi-squared statistic correctly by GDC, though many could not look up the correct critical value.</span></p>
<div class="question_part_label">ii.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The chi-squared question was answered well by the majority of candidates and almost all found the chi-squared statistic correctly by GDC, though many could not look up the correct critical value.</span></p>
<div class="question_part_label">ii.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The chi-squared question was answered well by the majority of candidates and almost all found the chi-squared statistic correctly by GDC, though many could not look up the correct critical value.</span></p>
<div class="question_part_label">ii.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The chi-squared question was answered well by the majority of candidates and almost all found the chi-squared statistic correctly by GDC, though many could not look up the correct critical value.</span></p>
<div class="question_part_label">ii.d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">The chi-squared question was answered well by the majority of candidates and almost all found the chi-squared statistic correctly by GDC, though many could not look up the correct critical value.</span></p>
<div class="question_part_label">ii.e.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">A group of <span class="s1">100 </span>customers in a restaurant are asked which fruits they like from a choice of mangoes, bananas and kiwi fruits. The results are as follows.</p>
<p class="p1"><span class="s1"> 15 </span>like all three fruits</p>
<p class="p1"><span class="s1"> 22 </span>like mangoes and bananas</p>
<p class="p1"><span class="s1"> 33 </span>like mangoes and kiwi fruits</p>
<p class="p1"><span class="s1"> 27 </span>like bananas and kiwi fruits</p>
<p class="p1"><span class="s1"> 8 </span>like none of these three fruits</p>
<p class="p1"> \(x\) like <strong>only </strong>mangoes</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1"><strong>Copy </strong>the following Venn diagram and correctly insert all values from the above information.</p>
<p class="p1"><img src="images/Schermafbeelding_2015-12-22_om_06.31.28.png" alt></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The number of customers that like <strong>only </strong>mangoes is equal to the number of customers that like <strong>only </strong>kiwi fruits. This number is half of the number of customers that like <strong>only </strong>bananas.</p>
<p class="p1">Complete your Venn diagram from part (a) with this additional information <strong>in terms </strong><strong>of</strong> \(x\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The number of customers that like <strong>only </strong>mangoes is equal to the number of customers that like <strong>only </strong>kiwi fruits. This number is half of the number of customers that like <strong>only </strong>bananas.</p>
<p class="p1">Find the value of \(x\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The number of customers that like <strong>only </strong>mangoes is equal to the number of customers that like <strong>only </strong>kiwi fruits. This number is half of the number of customers that like <strong>only </strong>bananas.</p>
<p class="p1">Write down the number of customers who like</p>
<p class="p1">(i) mangoes;</p>
<p class="p1">(ii) mangoes or bananas.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The number of customers that like <strong>only </strong>mangoes is equal to the number of customers that like <strong>only </strong>kiwi fruits. This number is half of the number of customers that like <strong>only </strong>bananas.</p>
<p class="p1">A customer is chosen at random from the <span class="s1">100 </span>customers. Find the probability that this customer</p>
<p class="p1">(i) likes none of the three fruits;</p>
<p class="p1">(ii) likes only two of the fruits;</p>
<p class="p1">(iii) likes all three fruits given that the customer likes mangoes and bananas.</p>
<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The number of customers that like <strong>only </strong>mangoes is equal to the number of customers that like <strong>only </strong>kiwi fruits. This number is half of the number of customers that like <strong>only </strong>bananas.</p>
<p class="p1">Two customers are chosen at random from the <span class="s1">100 </span>customers. Find the probability that the two customers like none of the three fruits.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1"><img src="data:image/png;base64,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" alt> <span class="Apple-converted-space"> </span><strong><em>(A1)(A1)(A1)</em></strong></p>
<p class="p1"> </p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(A1) </em></strong>for <span class="s1">15 </span>in the correct place.</p>
<p class="p1">Award <strong><em>(A1) </em></strong>for <span class="s1">7, 18 </span>and <span class="s1">12 </span>seen in the correct places.</p>
<p class="p1">Award <strong><em>(A1) </em></strong>for <span class="s1">8 </span>in the correct place.</p>
<p class="p1">Award at most <strong><em>(A0)(A1)(A1) </em></strong>if diagram is missing the rectangle.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><img 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" alt> <span class="Apple-converted-space"> </span><strong><em>(A1)(A1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(A1) </em></strong>for \(x\) seen in the correct places.</p>
<p class="p1">Award <strong><em>(A1) </em></strong>for \(2x\) seen in the correct place.</p>
<p class="p1">Award <strong><em>(A0)(A1)</em>(ft) </strong>if \(x\) and \(2x\) are replaced by <span class="s1">10 </span>and <span class="s1">20 </span>respectively.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(2x + x + x + 15 + 8 + 7 + 18 + 12 = 100\;\;\;(4x + 60 = 100{\text{ or equivalent)}}\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for equating the sum of the elements of their Venn diagram to \(100\). Equating to \(100\)<span class="s1"> </span>may be implied.</p>
<p class="p2"> </p>
<p class="p1">\((x = ){\text{ }}10\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Note: </strong>Follow through from their Venn diagram. The answer must be a positive integer.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> \(50\)</span> <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p1"> </p>
<p class="p1">(ii) <span class="Apple-converted-space"> \(82\)</span> <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p1"><strong>Note: </strong>Follow through from their answer to part (c) and their Venn diagram.</p>
<p class="p1">Award <strong><em>(A0)</em>(ft)<em>(A1)</em>(ft) </strong>if answer is \(\frac{{50}}{{100}}\) and \(\frac{{82}}{{100}}\).</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\(\frac{8}{{100}}\;\;\;\left( {\frac{2}{{25}};{\text{ }}0.08;{\text{ }}8\% } \right)\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Correct answer only. There is no follow through.</p>
<p class="p1"> </p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\(\frac{{37}}{{100}}\;\;\;(0.37,{\text{ }}37\% )\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p1"><strong>Note: </strong>Follow through from their Venn diagram.</p>
<p class="p2"> </p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>\(\frac{{15}}{{22}}\;\;\;(0.681;{\text{ }}0.682;{\text{ }}68.2\% )\;\;\;(0.681818 \ldots )\) <span class="Apple-converted-space"> </span><strong><em>(A1)(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(A1) </em></strong>for numerator, <strong><em>(A1)</em>(ft) </strong>for denominator, follow through from their Venn diagram. Award <strong><em>(A0)(A0) </em></strong>if answer is given as incorrect reduced fraction without working.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{8}{{100}} \times \frac{7}{{99}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(A1)</em>(ft) </strong>for correct fractions, follow through from their answer to part (e)(i), <strong><em>(M1) </em></strong>for multiplying their fractions.</p>
<p class="p2"> </p>
<p class="p1">\( = \frac{{56}}{{9900}}\;\;\;\left( {\frac{{14}}{{2477}},{\text{ }}0.00565656 \ldots ,{\text{ }}0.00566,{\text{ }}0.0056,{\text{ }}0.566\% } \right)\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>A new café opened and during the first week their profit was $60.</p>
<p>The café’s profit increases by $10 every week.</p>
</div>
<div class="specification">
<p>A new tea-shop opened at the same time as the café. During the first week their profit was also $60.</p>
<p>The tea-shop’s profit increases by 10 % every week.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the café’s profit during the 11th week.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the café’s <strong>total</strong> profit for the first 12 weeks.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the tea-shop’s profit during the 11th week.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the tea-shop’s <strong>total</strong> profit for the first 12 weeks.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In the <em>m</em>th week the tea-shop’s <strong>total</strong> profit exceeds the café’s <strong>total</strong> profit, for the first time since they both opened.</p>
<p>Find the value of <em>m</em>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>60 + 10 × 10 <em><strong>(M1)(A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution into the arithmetic sequence formula, <em><strong>(A1)</strong></em> for correct substitution.</p>
<p>= ($) 160 <em><strong>(A1)(G3)</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{12}}{2}\left( {2 \times 60 + 11 \times 10} \right)\) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substituting the arithmetic series formula, <em><strong>(A1)</strong></em><strong>(ft)</strong> for correct substitution. Follow through from their first term and common difference in part (a).</p>
<p>= ($) 1380 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></p>
<p><em><strong>[3 marks]</strong></em></p>
<p> </p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>60 × 1.1<sup>10</sup> <em><strong>(M1)(A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substituting the geometric progression <em>n</em>th term formula, <em><strong>(A1)</strong></em> for correct substitution.</p>
<p>= ($) 156 (155.624…) <em><strong>(A1)(G3)</strong></em></p>
<p><strong>Note:</strong> Accept the answer if it rounds correctly to 3 sf, as per the accuracy instructions.</p>
<p><em><strong>[3 marks]</strong></em></p>
<p> </p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{60\left( {{{1.1}^{12}} - 1} \right)}}{{1.1 - 1}}\) <strong><em>(M1)(A1)</em>(ft)</strong></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substituting the geometric series formula, <strong><em>(A1)</em>(ft)</strong> for correct substitution. Follow through from part (c) for their first term and common ratio.</p>
<p>= ($)1280 (1283.05…) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{60\left( {{{1.1}^n} - 1} \right)}}{{1.1 - 1}} > \frac{n}{2}\left( {2 \times 60 + \left( {n - 1} \right) \times 10} \right)\) <em><strong>(M1)</strong></em><em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correctly substituted geometric and arithmetic series formula with <em>n</em> (accept other variable for “<em>n</em>”), <em><strong>(M1)</strong></em> for comparing their expressions consistent with their part (b) and part (d).</p>
<p><strong>OR</strong></p>
<p><img src="data:image/png;base64,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"> <em><strong>(M1)</strong></em><em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for two curves with approximately correct shape drawn in the first quadrant, <em><strong>(M1)</strong></em> for one point of intersection with approximate correct position.</p>
<p>Accept alternative correct sketches, such as</p>
<p><img src="data:image/png;base64,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"></p>
<p>Award <em><strong>(M1)</strong></em> for a curve with approximate correct shape drawn in the 1<sup>st</sup> (or 4<sup>th</sup>) quadrant and all above (or below) the <em>x</em>-axis, <em><strong>(M1)</strong></em> for one point of intersection with the x-axis with approximate correct position.</p>
<p>17 <em><strong>(A2)</strong></em><strong>(ft)</strong><em><strong>(G3)</strong></em></p>
<p><strong>Note:</strong> Follow through from parts (b) and (d).<br>An answer of 16 is incorrect. Award at most <em><strong>(M1)(M1)(A0)(A0)</strong></em> with working seen. Award <em><strong>(G0)</strong></em> if final answer is 16 without working seen.</p>
<p><em><strong>[4 marks]</strong></em></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>The Tower of Pisa is well known worldwide for how it leans.</p>
<p>Giovanni visits the Tower and wants to investigate how much it is leaning. He draws a diagram showing a non-right triangle, ABC.</p>
<p>On Giovanni’s diagram the length of AB is 56 m, the length of BC is 37 m, and angle ACB is 60°. AX is the perpendicular height from A to BC.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>Giovanni’s tourist guidebook says that the actual horizontal displacement of the Tower, BX, is 3.9 metres.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use Giovanni’s diagram to show that angle ABC, the angle at which the Tower is leaning relative to the<br>horizontal, is 85° to the nearest degree.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use Giovanni's diagram to calculate the length of AX.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use Giovanni's diagram to find the length of BX, the horizontal displacement of the Tower.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the percentage error on Giovanni’s diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Giovanni adds a point D to his diagram, such that BD = 45 m, and another triangle is formed.</p>
<p><img 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"></p>
<p>Find the angle of elevation of A from D.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{{\text{sin BAC}}}}{{37}} = \frac{{{\text{sin 60}}}}{{56}}\) <em><strong>(M1)</strong></em><em><strong>(A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substituting the sine rule formula, <em><strong>(A1)</strong></em> for correct substitution.</p>
<p>angle \({\text{B}}\mathop {\text{A}}\limits^ \wedge {\text{C}}\) = 34.9034…° <em><strong>(A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A0)</strong></em> if unrounded answer does not round to 35. Award <em><strong>(G2)</strong></em> if 34.9034… seen without working.</p>
<p>angle \({\text{A}}\mathop {\text{B}}\limits^ \wedge {\text{C}}\) = 180 − (34.9034… + 60) <em><strong>(M1)</strong></em></p>
<p>Note: Award <em><strong>(M1)</strong></em> for subtracting their angle BAC + 60 from 180.</p>
<p>85.0965…° <em><strong>(A1)</strong></em></p>
<p>85° <em><strong>(AG)</strong></em></p>
<p><strong>Note:</strong> Both the unrounded and rounded value must be seen for the final <em><strong>(A1)</strong></em> to be awarded. If the candidate rounds 34.9034...° to 35° while substituting to find angle \({\text{A}}\mathop {\text{B}}\limits^ \wedge {\text{C}}\), the final <em><strong>(A1)</strong></em> can be awarded but <strong>only</strong> if both 34.9034...° and 35° are seen.<br>If 85 is used as part of the workings, award at most <em><strong>(M1)(A0)(A0)(M0)(A0)(AG)</strong></em>. This is the reverse process and not accepted.</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>sin 85… × 56 <em><strong>(M1)</strong></em></p>
<p>= 55.8 (55.7869…) (m) <em><strong>(A1)</strong></em><em><strong>(G2)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in trigonometric ratio.</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\sqrt {{{56}^2} - 55.7869{ \ldots ^2}} \) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in the Pythagoras theorem formula. Follow through from part (a)(ii).</p>
<p><strong>OR</strong></p>
<p>cos(85) × 56 <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in trigonometric ratio.</p>
<p>= 4.88 (4.88072…) (m) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></p>
<p><strong>Note:</strong> Accept 4.73 (4.72863…) (m) from using their 3 s.f answer. Accept equivalent methods.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\left| {\frac{{4.88 - 3.9}}{{3.9}}} \right| \times 100\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into the percentage error formula.</p>
<p>= 25.1 (25.1282) (%) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></p>
<p><strong>Note:</strong> Follow through from part (a)(iii).</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\({\text{ta}}{{\text{n}}^{ - 1}}\left( {\frac{{55.7869 \ldots }}{{40.11927 \ldots }}} \right)\) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for their 40.11927… seen. Award <em><strong>(M1)</strong></em> for correct substitution into trigonometric ratio.</p>
<p><strong>OR</strong></p>
<p>(37 − 4.88072…)<sup>2</sup> + 55.7869…<sup>2</sup></p>
<p>(AC =) 64.3725…</p>
<p>64.3726…<sup>2</sup> + 8<sup>2</sup> − 2 × 8 × 64.3726… × cos120</p>
<p>(AD =) 68.7226…</p>
<p>\(\frac{{{\text{sin 120}}}}{{68.7226 \ldots }} = \frac{{{\text{sin A}}\mathop {\text{D}}\limits^ \wedge {\text{C}}}}{{64.3725 \ldots }}\) <em><strong>(A1)</strong></em><strong>(ft)<em>(M1)</em></strong></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for their correct values seen, <em><strong>(M1)</strong></em> for correct substitution into the sine formula.</p>
<p>= 54.3° (54.2781…°) <em><strong>(A1)</strong></em><strong>(ft)<em>(G2)</em></strong></p>
<p><strong>Note:</strong> Follow through from part (a). Accept equivalent methods.</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A distress flare is fired into the air from a ship at sea. The height, \(h\) , in metres, of the flare above sea level is modelled by the quadratic function</p>
<p>\[h\,(t) = - 0.2{t^2} + 16t + 12\,,\,t \geqslant 0\,,\]</p>
<p>where \(t\) is the time, in seconds, and \(t = 0\,\) at the moment the flare was fired.</p>
<p>Write down the height from which the flare was fired.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the height of the flare \(15\) seconds after it was fired.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The flare fell into the sea \(k\) seconds after it was fired.</p>
<p>Find the value of \(k\) .</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find \(h'\,(t)\,.\)</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>i) Show that the flare reached its maximum height \(40\) seconds after being fired.</p>
<p>ii) Calculate the maximum height reached by the flare.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The nearest coastguard can see the flare when its height is more than \(40\) metres above sea level.</p>
<p>Determine the total length of time the flare can be seen by the coastguard.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(12\,({\text{m}})\) <em><strong>(A1)</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\((h\,(15) = ) - 0.2 \times {15^2} + 16 \times 15 + 12\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution of \(15\) in expression for \(h\).</p>
<p>\( = 207\,({\text{m}})\) <em><strong>(A1)(G2)</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(h\,(k) = 0\) <strong><em>(M1)</em></strong></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for setting \(h\) to zero.</p>
<p>\((k = )\,\,\,80.7\,({\text{s}})\,\,\,(80.7430)\) <strong><em>(A1)(G2)</em></strong></p>
<p><strong>Note:</strong> Award at most <strong><em>(M1)(A0)</em></strong> for an answer including \(K = - 0.743\) .<br> Award <strong><em>(A0)</em></strong> for an answer of \(80\) without working.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(h'\,(t) = - 0.4t + 16\) <em><strong>(A1)(A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for \( - 0.4t\), (<em><strong>A1)</strong></em> for \(16\). Award at most <em><strong>(A1)(A0)</strong></em> if extra terms seen. Do not accept \(x\) for \(t\).</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>i) \( - 0.4t + 16 = 0\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for setting their derivative, from part (d), to zero, provided the correct conclusion is stated and consistent with their \(h'\,(t)\).</p>
<p><strong>OR</strong></p>
<p>\(t = \frac{{ - 16}}{{2 \times ( - 0.2)}}\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award (<em><strong>M1)</strong></em> for correct substitution into axis of symmetry formula, provided the correct conclusion is stated.</p>
<p>\(t = \,\,40\,({\text{s}})\) <em><strong>(AG)</strong></em></p>
<p> </p>
<p> </p>
<p>ii) \( - 0.2 \times {40^2} + 16 \times 40 + 12\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution of \(40\) in expression for \(h\).</p>
<p>\( = 332\,({\text{m}})\) <em><strong>(A1)(G2)</strong></em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(h\,(t) = 40\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for setting \(h\) to \(40\). Accept inequality sign.</p>
<p><strong>OR</strong></p>
<p><img src="data:image/png;base64,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" alt></p>
<p><em><strong>M1</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct sketch. Indication of scale is not required.</p>
<p>\(78.2 - 1.17\,\,(78.2099...\,\, - 1.79005...)\) <em><strong>(A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for \(1.79\) and \(78.2\) seen.</p>
<p>(total time \( = \)) \(76.4\,({\text{s}})\,\,\,(76.4198...)\) <em><strong>(A1)(G2)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(G1)</strong></em> if the two endpoints are given as the final answer with no working.</p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>Question 3: Quadratic function, problem solving.<br>Parts (a) (finding the initial height) and (b) (finding the height after 15 seconds), were done very well by the majority of candidates. Many struggled to translate question (c) to find the (positive) zeros of the function, or did not write that down, losing a possible method mark. The derivative in part (d) was no problem for most; only very few used \(x\) instead of \(t\). The maximum height reached was calculated correctly by the majority of candidates, but many lost the mark in part (e)(i) as they simply substituted 40 into their derivative or calculated the height at points close to 40. Only a few candidates showed correct method for part (f). Several were still able to obtain 2 marks as a result of “trial and error” of integer values for \(t\). Some candidate seem to have a problem with the notation “\(h\,(t) = \,...\)”, where this is interpreted as \(h \times t\), resulting in incorrect answers throughout.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 3: Quadratic function, problem solving.</p>
<p>Parts (a) (finding the initial height) and (b) (finding the height after 15 seconds), were done very well by the majority of candidates. Many struggled to translate question (c) to find the (positive) zeros of the function, or did not write that down, losing a possible method mark. The derivative in part (d) was no problem for most; only very few used \(x\) instead of \(t\). The maximum height reached was calculated correctly by the majority of candidates, but many lost the mark in part (e)(i) as they simply substituted 40 into their derivative or calculated the height at points close to 40. Only a few candidates showed correct method for part (f). Several were still able to obtain 2 marks as a result of “trial and error” of integer values for \(t\). Some candidate seem to have a problem with the notation “\(h\,(t) = \,...\)”, where this is interpreted as \(h \times t\), resulting in incorrect answers throughout.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 3: Quadratic function, problem solving.</p>
<p>Parts (a) (finding the initial height) and (b) (finding the height after 15 seconds), were done very well by the majority of candidates. Many struggled to translate question (c) to find the (positive) zeros of the function, or did not write that down, losing a possible method mark. The derivative in part (d) was no problem for most; only very few used \(x\) instead of \(t\). The maximum height reached was calculated correctly by the majority of candidates, but many lost the mark in part (e)(i) as they simply substituted 40 into their derivative or calculated the height at points close to 40. Only a few candidates showed correct method for part (f). Several were still able to obtain 2 marks as a result of “trial and error” of integer values for \(t\). Some candidate seem to have a problem with the notation “\(h\,(t) = \,...\)”, where this is interpreted as \(h \times t\), resulting in incorrect answers throughout.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 3: Quadratic function, problem solving.</p>
<p>Parts (a) (finding the initial height) and (b) (finding the height after 15 seconds), were done very well by the majority of candidates. Many struggled to translate question (c) to find the (positive) zeros of the function, or did not write that down, losing a possible method mark. The derivative in part (d) was no problem for most; only very few used \(x\) instead of \(t\). The maximum height reached was calculated correctly by the majority of candidates, but many lost the mark in part (e)(i) as they simply substituted 40 into their derivative or calculated the height at points close to 40. Only a few candidates showed correct method for part (f). Several were still able to obtain 2 marks as a result of “trial and error” of integer values for \(t\). Some candidate seem to have a problem with the notation “\(h\,(t) = \,...\)”, where this is interpreted as \(h \times t\), resulting in incorrect answers throughout.</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 3: Quadratic function, problem solving.</p>
<p>Parts (a) (finding the initial height) and (b) (finding the height after 15 seconds), were done very well by the majority of candidates. Many struggled to translate question (c) to find the (positive) zeros of the function, or did not write that down, losing a possible method mark. The derivative in part (d) was no problem for most; only very few used \(x\) instead of \(t\). The maximum height reached was calculated correctly by the majority of candidates, but many lost the mark in part (e)(i) as they simply substituted 40 into their derivative or calculated the height at points close to 40. Only a few candidates showed correct method for part (f). Several were still able to obtain 2 marks as a result of “trial and error” of integer values for \(t\). Some candidate seem to have a problem with the notation “\(h\,(t) = \,...\)”, where this is interpreted as \(h \times t\), resulting in incorrect answers throughout.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 3: Quadratic function, problem solving.</p>
<p>Parts (a) (finding the initial height) and (b) (finding the height after 15 seconds), were done very well by the majority of candidates. Many struggled to translate question (c) to find the (positive) zeros of the function, or did not write that down, losing a possible method mark. The derivative in part (d) was no problem for most; only very few used \(x\) instead of \(t\). The maximum height reached was calculated correctly by the majority of candidates, but many lost the mark in part (e)(i) as they simply substituted 40 into their derivative or calculated the height at points close to 40. Only a few candidates showed correct method for part (f). Several were still able to obtain 2 marks as a result of “trial and error” of integer values for \(t\). Some candidate seem to have a problem with the notation “\(h\,(t) = \,...\)”, where this is interpreted as \(h \times t\), resulting in incorrect answers throughout.</p>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">George leaves a cup of hot coffee to cool and measures its temperature every minute. His results are shown in the table below.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the decrease in the temperature of the coffee</span></p>
<p><span>(i) during the first minute (between <em>t</em> = 0 and <em>t</em> =1) ;</span></p>
<p><span>(ii) during the second minute;</span></p>
<p><span>(iii) during the third minute.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Assuming the pattern in the answers to part (a) continues, show that \(k = 19\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use the <strong>seven</strong> results in the table to draw a graph that shows how the temperature of the coffee changes during the first six minutes.</span></p>
<p><span>Use a scale of 2 cm to represent 1 minute on the horizontal axis and 1 cm to represent 10 °C on the vertical axis.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><span>The function that models the change in temperature of the coffee is <em>y</em> = <em>p</em> (2<sup>−<em>t</em></sup> )+ <em>q</em>.</span></span></p>
<p><span>(i) Use the values <em>t</em> = 0 and <em>y</em> = 94 to form an equation in <em>p</em> and <em>q</em>.</span></p>
<p><span>(ii) Use the values <em>t</em> =1 and <em>y</em> = 54 to form a second equation in <em>p</em> and <em>q</em>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Solve the equations found in part (d) to find the value of <em>p</em> and the value of <em>q</em>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The graph of this function has a horizontal asymptote.</span></p>
<p><span>Write down the equation of this asymptote.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>George decides to model the change in temperature of the coffee with a linear function using correlation and linear regression.</span></p>
<p><span>Use the <strong>seven</strong> results in the table to write down</span></p>
<p><span>(i) the correlation coefficient;</span></p>
<p><span>(ii) the equation of the regression line <em>y</em> on <em>t</em>.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use the equation of the regression line to estimate the temperature of the coffee at <em>t</em> = 3.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the percentage error in this estimate of the temperature of the coffee at <em>t</em> = 3.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">i.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>(i) 40</span></p>
<p><span>(ii) 20</span></p>
<p><span>(iii) 10 <em><strong>(A3)</strong></em></span></p>
<p><br><span><strong>Notes:</strong> Award <em><strong>(A0)(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong> for −40, </span><span><span>−</span>20, </span><span><span>−</span>10.</span></p>
<p><span> Award <em><strong>(A1)(A0)(A1)</strong></em><strong>(ft)</strong> for 40, 60, 70 seen.</span></p>
<p><span> Award <em><strong>(A0)(A0)(A1)</strong></em><strong>(ft)</strong> for </span><span><span>−</span>40, </span><span><span>−</span>60, </span><span><span>−</span>70 seen.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(24 - k = 5\) or equivalent <em><strong>(A1)(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for 5 seen, <em><strong>(M1)</strong></em> for difference from 24 indicated.</span></p>
<p><br><span>\(k = 19\) <em><strong>(AG)</strong></em></span></p>
<p><br><span><strong>Note:</strong> If 19 is not seen award at most <em><strong>(A1)(M0)</strong></em>.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><img 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" alt><span> <em><strong>(A1)(A1)(A1)(A1)</strong></em></span></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for scales and labelled axes (<em>t</em> or “time” and <em>y</em> or “temperature”).</span></p>
<p><span> Accept the use of <em>x</em> on the horizontal axis only if “time” is also seen as the label. </span></p>
<p><span> Award <em><strong>(A2)</strong></em> for all seven points accurately plotted, award <em><strong>(A1)</strong></em> for <strong>5 or 6</strong> points accurately plotted, award <em><strong>(A0)</strong></em> for 4 points or fewer accurately plotted.</span></p>
<p><span> Award <em><strong>(A1)</strong></em> for smooth curve that passes through all points on domain [0, 6]. </span></p>
<p><span> If graph paper is not used or one or more scales is missing, award a maximum of <em><strong>(A0)(A0)(A0)(A1)</strong></em>.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(94 = p + q\) <em><strong>(A1)</strong></em></span></p>
<p><span>(ii) \(54 = 0.5p + q\) <em><strong>(A1)<br><br></strong></em></span></p>
<p><span><strong>Note:</strong> The equations need not be simplified; accept, for example \(94 = p(2^{-0}) + q\).</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>p</em> = 80, <em>q</em> = 14 <em><strong>(G1)(G1)</strong></em><strong>(ft)</strong></span></p>
<p><br><span><strong>Note:</strong> If the equations have been incorrectly simplified, follow through even if no working is shown.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>y</em> = 14 <em><strong>(A1)(A1)</strong></em><strong>(ft)</strong></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for <em>y</em> = a constant, <em><strong>(A1)</strong></em> for their 14. Follow through from part (e) only if their <em>q</em> lies between 0 and 15.25 inclusive.</span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) </span><span><span>–</span>0.878 (</span><span><span>–</span>0.87787...) <em><strong>(G2)</strong></em><br></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(G1)</strong></em> if –0.877 seen only. If negative sign omitted award a maximum of <em><strong>(A1)(A0)</strong></em>.<br></span></p>
<p><span> </span></p>
<p><span>(ii) y = </span><span><span>–</span>11.7<em>t</em> + 71.6 (y = </span><span><span>–</span>11.6517...<em>t</em> + 71.6336...) <em><strong>(G1)(G1)</strong></em> <br></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(G1)</strong></em> for </span><span><span>–</span>11.7<em>t</em>, <em><strong>(G1)</strong></em> for 71.6. </span></p>
<p><span> If <em>y</em> = is omitted award at most <em><strong>(G0)(G1)</strong></em>.</span></p>
<p><span> If the use of <em>x</em> in part (c) has <strong>not</strong> been penalized (the axis has been labelled “time”) then award at most <em><strong>(G0)(G1)</strong></em>.</span></p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>−11.6517...(3) + 71.6339... <em><strong>(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in their part (g)(ii).</span></p>
<p><br><span>= 36.7 (36.6785...) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Follow through from part (g). Accept 36.5 for use of the 3sf answers from part (g).</span></p>
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{36.6785... - 24}}{{24}} \times 100\) <em><strong>(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for their correct substitution in percentage error formula.</span></p>
<p><br><span>= 52.8% (52.82738...) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(G2)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Follow through from part (h). Accept 52.1% for use of 36.5. </span></p>
<p><span> Accept 52.9 % for use of 36.7. If partial working (\(\times 100\) omitted) is followed by their correct answer award <em><strong>(M1)(A1)</strong></em>. If partial working is followed by an incorrect answer award <em><strong>(M0)(A0)</strong></em>. The percentage sign is not required.</span></p>
<div class="question_part_label">i.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Almost all candidates were able to score on the first parts of this question; errors occurring only when insufficient care was taken in reading what the question was asking for. The graph was usually well drawn, other than for those who have no idea what centimetres are.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority were able to determine the simultaneous equations, if only in unsimplified form; there was less success in solving these – though this is easily done via the GDC (the preferred approach) and the equation of the asymptote proved a discriminating task. The final parts, involving correlation and regression were largely independent of the previous parts and were accessible to most. Hopefully, contrasting the large percentage error with the value of the correlation coefficient will be valuable in class discussions. Given the many scripts that gave the value of the coefficient of determination as that of \(r\) , it seems better that the former is simply not taught.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Almost all candidates were able to score on the first parts of this question; errors occurring only when insufficient care was taken in reading what the question was asking for. The graph was usually well drawn, other than for those who have no idea what centimetres are.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority were able to determine the simultaneous equations, if only in unsimplified form; there was less success in solving these – though this is easily done via the GDC (the preferred approach) and the equation of the asymptote proved a discriminating task. The final parts, involving correlation and regression were largely independent of the previous parts and were accessible to most. Hopefully, contrasting the large percentage error with the value of the correlation coefficient will be valuable in class discussions. Given the many scripts that gave the value of the coefficient of determination as that of \(r\) , it seems better that the former is simply not taught.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Almost all candidates were able to score on the first parts of this question; errors occurring only when insufficient care was taken in reading what the question was asking for. The graph was usually well drawn, other than for those who have no idea what centimetres are.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority were able to determine the simultaneous equations, if only in unsimplified form; there was less success in solving these – though this is easily done via the GDC (the preferred approach) and the equation of the asymptote proved a discriminating task. The final parts, involving correlation and regression were largely independent of the previous parts and were accessible to most. Hopefully, contrasting the large percentage error with the value of the correlation coefficient will be valuable in class discussions. Given the many scripts that gave the value of the coefficient of determination as that of \(r\) , it seems better that the former is simply not taught.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Almost all candidates were able to score on the first parts of this question; errors occurring only when insufficient care was taken in reading what the question was asking for. The graph was usually well drawn, other than for those who have no idea what centimetres are.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority were able to determine the simultaneous equations, if only in unsimplified form; there was less success in solving these – though this is easily done via the GDC (the preferred approach) and the equation of the asymptote proved a discriminating task. The final parts, involving correlation and regression were largely independent of the previous parts and were accessible to most. Hopefully, contrasting the large percentage error with the value of the correlation coefficient will be valuable in class discussions. Given the many scripts that gave the value of the coefficient of determination as that of \(r\) , it seems better that the former is simply not taught.</span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Almost all candidates were able to score on the first parts of this question; errors occurring only when insufficient care was taken in reading what the question was asking for. The graph was usually well drawn, other than for those who have no idea what centimetres are.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority were able to determine the simultaneous equations, if only in unsimplified form; there was less success in solving these – though this is easily done via the GDC (the preferred approach) and the equation of the asymptote proved a discriminating task. The final parts, involving correlation and regression were largely independent of the previous parts and were accessible to most. Hopefully, contrasting the large percentage error with the value of the correlation coefficient will be valuable in class discussions. Given the many scripts that gave the value of the coefficient of determination as that of \(r\) , it seems better that the former is simply not taught.</span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Almost all candidates were able to score on the first parts of this question; errors occurring only when insufficient care was taken in reading what the question was asking for. The graph was usually well drawn, other than for those who have no idea what centimetres are.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority were able to determine the simultaneous equations, if only in unsimplified form; there was less success in solving these – though this is easily done via the GDC (the preferred approach) and the equation of the asymptote proved a discriminating task. The final parts, involving correlation and regression were largely independent of the previous parts and were accessible to most. Hopefully, contrasting the large percentage error with the value of the correlation coefficient will be valuable in class discussions. Given the many scripts that gave the value of the coefficient of determination as that of \(r\) , it seems better that the former is simply not taught.</span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Almost all candidates were able to score on the first parts of this question; errors occurring only when insufficient care was taken in reading what the question was asking for. The graph was usually well drawn, other than for those who have no idea what centimetres are.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority were able to determine the simultaneous equations, if only in unsimplified form; there was less success in solving these – though this is easily done via the GDC (the preferred approach) and the equation of the asymptote proved a discriminating task. The final parts, involving correlation and regression were largely independent of the previous parts and were accessible to most. Hopefully, contrasting the large percentage error with the value of the correlation coefficient will be valuable in class discussions. Given the many scripts that gave the value of the coefficient of determination as that of \(r\) , it seems better that the former is simply not taught.</span></p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Almost all candidates were able to score on the first parts of this question; errors occurring only when insufficient care was taken in reading what the question was asking for. The graph was usually well drawn, other than for those who have no idea what centimetres are.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority were able to determine the simultaneous equations, if only in unsimplified form; there was less success in solving these – though this is easily done via the GDC (the preferred approach) and the equation of the asymptote proved a discriminating task. The final parts, involving correlation and regression were largely independent of the previous parts and were accessible to most. Hopefully, contrasting the large percentage error with the value of the correlation coefficient will be valuable in class discussions. Given the many scripts that gave the value of the coefficient of determination as that of \(r\) , it seems better that the former is simply not taught.</span></p>
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Almost all candidates were able to score on the first parts of this question; errors occurring only when insufficient care was taken in reading what the question was asking for. The graph was usually well drawn, other than for those who have no idea what centimetres are.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The majority were able to determine the simultaneous equations, if only in unsimplified form; there was less success in solving these – though this is easily done via the GDC (the preferred approach) and the equation of the asymptote proved a discriminating task. The final parts, involving correlation and regression were largely independent of the previous parts and were accessible to most. Hopefully, contrasting the large percentage error with the value of the correlation coefficient will be valuable in class discussions. Given the many scripts that gave the value of the coefficient of determination as that of \(r\) , it seems better that the former is simply not taught.</span></p>
<div class="question_part_label">i.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Consider the function \(f(x) = - \frac{1}{3}{x^3} + \frac{5}{3}{x^2} - x - 3\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Sketch the graph of <em>y</em> = <em>f</em> (<em>x</em>) for −3 ≤ <em>x</em> </span><span><span>≤</span> 6 and −10 </span><span><span>≤</span> <em>y</em> </span><span><span>≤ </span>10 showing clearly the axes intercepts and local maximum and minimum points. Use a scale of 2 cm to represent 1 unit on the <em>x</em>-axis, and a scale of 1 cm to represent 1 unit on the <em>y</em>-axis.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the value of <em>f</em> (−1).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the coordinates of the <em>y</em>-intercept of the graph of <em>f</em> (<em>x</em>).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find <em>f '</em>(<em>x</em>).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Show that \(f'( - 1) = - \frac{{16}}{3}\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Explain what <em>f</em> <em>'</em>(−1) represents.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the equation of the tangent to the graph of <em>f</em> (<em>x</em>) at the point where <em>x</em> is –1.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Sketch the tangent to the graph of <em>f</em> (<em>x</em>) at <em>x</em> = −1 on your diagram for (a).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>P and Q are points on the curve such that the tangents to the curve at these points are horizontal. The <em>x</em>-coordinate of P is <em>a</em>, and the <em>x</em>-coordinate of Q is <em>b</em>, <em>b</em> > <em>a</em>.</span></p>
<p><span>Write down the value of</span></p>
<p><span>(i) <em>a</em> ;</span></p>
<p><span>(ii) <em>b</em> .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><span>P and Q are points on the curve such that the tangents to the curve at these points are horizontal. The <em>x</em>-coordinate of P is <em>a</em>, and the <em>x</em>-coordinate of Q is <em>b</em>, <em>b</em> > <em>a</em>.</span></span></p>
<p><span>Describe the behaviour of <em>f</em> (<em>x</em>) for <em>a</em> < <em>x</em> < <em>b</em>.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">j.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><img src="data:image/png;base64,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" alt></span></p>
<p><span><em><strong>(A1)</strong></em> for indication of window and labels. <em><strong>(A1)</strong></em> for smooth curve that does not </span><span>enter the first quadrant, the curve must consist of one line only.</span></p>
<p><span><em><strong>(A1)</strong></em> for <em>x</em> and <em>y</em> intercepts in approximately correct positions (allow ±0.5).</span></p>
<p><span><em><strong>(A1)</strong></em> for local maximum and minimum in approximately correct position.</span> <span>(minimum should be 0 ≤ <em>x</em> ≤ 1 and –2 ≤ <em>y</em> ≤ –4 ), the <em>y</em>-coordinate of the </span><span>maximum should be 0 ± 0.5. <em><strong>(A4)</strong></em></span></p>
<p><span><em><strong>[4 marks]<br></strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(-\frac{1}{3}(-1)^3 + \frac{5}{3}(-1)^2 - (-1) - 3 \) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution of –1 into <em>f</em> (<em>x</em>)</span></p>
<p><br><span>= 0 <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><em><strong>[2 marks]<br></strong></em></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(0, –3) <em><strong>(A1)</strong></em></span></p>
<p><strong><span>OR</span></strong></p>
<p><span><em>x</em> = 0, <em>y</em> = –3 <em><strong>(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(A0)</strong></em> if brackets are omitted.</span></p>
<p><span><em><strong>[1 mark]</strong></em><br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(f'(x) = - {x^2} + \frac{{10}}{3}x - 1\) <em><strong>(A1)(A1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for each correct term. Award <em><strong>(A1)(A1)(A0)</strong></em> at most if there are extra terms.</span></p>
<p><span><em><strong>[3 marks]</strong></em><br></span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(f'( - 1) = - {( - 1)^2} + \frac{{10}}{3}( - 1) - 1\) <em><strong>(M1)</strong></em></span></p>
<p><span>\(= -\frac{16}{3}\) <em><strong>(AG)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution of <em>x</em> = –1 into correct derivative only. The final answer must be seen.</span></p>
<p><span><em><strong>[1 mark]</strong></em><br></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>f</em> <em>'</em>(–1) gives the gradient of the tangent to the curve at the point with <em>x</em> = –1. <em><strong>(A1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for “gradient (of curve)”, <em><strong>(A1)</strong></em> for “at the point with <em>x</em> = –1”. Accept “the instantaneous rate of change of <em>y</em>” or “the (first) derivative”.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(y = - \frac{16}{3} x + c\) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for \(-\frac{16}{3}\) substituted in equation.</span><br><br></p>
<p><span>\(0 = - \frac{16}{3} \times (-1) + c \)</span></p>
<p><span>\(c = - \frac{16}{3}\)</span></p>
<p><span>\(y = - \frac{{16}}{3}x - \frac{{16}}{3}\)</span><span> <em><strong>(A1)(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Accept <em>y</em> = –5.33<em>x</em> – 5.33.</span></p>
<p><br><strong><span>OR</span></strong></p>
<p><span>\((y - 0) = \frac{{-16}}{3}(x + 1)\) <em><strong>(M1)(A1)(G2)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for</span> <span>\( - \frac{{16}}{3}\)</span><span> substituted in equation, <em><strong>(A1)</strong></em> for correct equation. Follow through from their answer to part (b). Accept <em>y </em></span><span><span>= –</span>5.33 (<em>x</em> +1). Accept equivalent equations.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em><strong>(A1)</strong></em><strong>(ft)</strong> for a tangent to their curve drawn.</span></p>
<p><span><em><strong>(A1)</strong></em><strong>(ft)</strong> for their tangent drawn at the point <em>x</em> = –1. <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong>Note:</strong> Follow through from their graph. The tangent must be a straight line otherwise award at most <em><strong>(A0)(A1)</strong></em>.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) \(a = \frac{1}{3}\)</span> <em><strong><span>(G1)</span></strong></em></p>
<p><em><strong><span> </span></strong></em></p>
<p><span>(ii) \(b = 3\) <em><strong>(G1)</strong></em></span></p>
<p><span><strong>Note:</strong> If <em>a</em> and <em>b</em> are reversed award <em><strong>(A0)(A1)</strong></em>.</span></p>
<p><span> </span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>f</em> (<em>x</em>) is increasing <em><strong>(A1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">j.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question caused the most difficulty to candidates for two reasons; its content and perhaps lack of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Drawing/sketching graphs is perhaps the area of the course that results in the poorest responses. It is also the area of the course that results in the best. It is therefore the area of the course that good teaching can influence the most.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Candidates should:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">Use the correct scale and window. Label the axes.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Enter the formula into the GDC and use the table function to determine the points to be plotted.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Refer to the graph on the GDC when drawing the curve.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Draw a curve rather than line segments; ensure that the curve is smooth.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Use a pencil rather than a pen so that required changes once further information has been gathered (the turning points, for example) can be made.</span></li>
</ul>
<p><em><strong></strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question caused the most difficulty to candidates for two reasons; its content and perhaps lack of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Drawing/sketching graphs is perhaps the area of the course that results in the poorest responses. It is also the area of the course that results in the best. It is therefore the area of the course that good teaching can influence the most.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Candidates should:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">Use the correct scale and window. Label the axes.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Enter the formula into the GDC and use the table function to determine the points to be plotted.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Refer to the graph on the GDC when drawing the curve.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Draw a curve rather than line segments; ensure that the curve is smooth.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Use a pencil rather than a pen so that required changes once further information has been gathered (the turning points, for example) can be made.</span></li>
</ul>
<p><span style="font-size: medium; font-family: times new roman,times;">In part (b) the answer could have been checked using the table on the GDC.</span></p>
<p> </p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question caused the most difficulty to candidates for two reasons; its content and perhaps lack of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Drawing/sketching graphs is perhaps the area of the course that results in the poorest responses. It is also the area of the course that results in the best. It is therefore the area of the course that good teaching can influence the most.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Candidates should:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">Use the correct scale and window. Label the axes.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Enter the formula into the GDC and use the table function to determine the points to be plotted.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Refer to the graph on the GDC when drawing the curve.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Draw a curve rather than line segments; ensure that the curve is smooth.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Use a pencil rather than a pen so that required changes once further information has been gathered (the turning points, for example) can be made.</span></li>
</ul>
<p><span style="font-size: medium; font-family: times new roman,times;">In part (c) <strong>coordinates</strong> were required.</span></p>
<p> </p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question caused the most difficulty to candidates for two reasons; its content and perhaps lack of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Drawing/sketching graphs is perhaps the area of the course that results in the poorest responses. It is also the area of the course that results in the best. It is therefore the area of the course that good teaching can influence the most.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Candidates should:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">Use the correct scale and window. Label the axes.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Enter the formula into the GDC and use the table function to determine the points to be plotted.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Refer to the graph on the GDC when drawing the curve.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Draw a curve rather than line segments; ensure that the curve is smooth.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Use a pencil rather than a pen so that required changes once further information has been gathered (the turning points, for example) can be made.</span></li>
</ul>
<p><span style="font-size: medium; font-family: times new roman,times;">The responses to part (d) were generally correct.</span></p>
<p> </p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question caused the most difficulty to candidates for two reasons; its content and perhaps lack of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Drawing/sketching graphs is perhaps the area of the course that results in the poorest responses. It is also the area of the course that results in the best. It is therefore the area of the course that good teaching can influence the most.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Candidates should:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">Use the correct scale and window. Label the axes.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Enter the formula into the GDC and use the table function to determine the points to be plotted.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Refer to the graph on the GDC when drawing the curve.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Draw a curve rather than line segments; ensure that the curve is smooth.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Use a pencil rather than a pen so that required changes once further information has been gathered (the turning points, for example) can be made.</span></li>
</ul>
<p><span style="font-size: medium; font-family: times new roman,times;">The “show that” nature of part (e) meant that the final answer had to be stated.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question caused the most difficulty to candidates for two reasons; its content and perhaps lack of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Drawing/sketching graphs is perhaps the area of the course that results in the poorest responses. It is also the area of the course that results in the best. It is therefore the area of the course that good teaching can influence the most.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Candidates should:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">Use the correct scale and window. Label the axes.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Enter the formula into the GDC and use the table function to determine the points to be plotted.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Refer to the graph on the GDC when drawing the curve.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Draw a curve rather than line segments; ensure that the curve is smooth.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Use a pencil rather than a pen so that required changes once further information has been gathered (the turning points, for example) can be made.</span></li>
</ul>
<p><span style="font-size: medium; font-family: times new roman,times;">The interpretive nature of part (f) was not understood by the majority.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question caused the most difficulty to candidates for two reasons; its content and perhaps lack of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Drawing/sketching graphs is perhaps the area of the course that results in the poorest responses. It is also the area of the course that results in the best. It is therefore the area of the course that good teaching can influence the most.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Candidates should:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">Use the correct scale and window. Label the axes.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Enter the formula into the GDC and use the table function to determine the points to be plotted.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Refer to the graph on the GDC when drawing the curve.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Draw a curve rather than line segments; ensure that the curve is smooth.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Use a pencil rather than a pen so that required changes once further information has been gathered (the turning points, for example) can be made.</span></li>
</ul>
<p> </p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question caused the most difficulty to candidates for two reasons; its content and perhaps lack of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Drawing/sketching graphs is perhaps the area of the course that results in the poorest responses. It is also the area of the course that results in the best. It is therefore the area of the course that good teaching can influence the most.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Candidates should:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">Use the correct scale and window. Label the axes.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Enter the formula into the GDC and use the table function to determine the points to be plotted.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Refer to the graph on the GDC when drawing the curve.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Draw a curve rather than line segments; ensure that the curve is smooth.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Use a pencil rather than a pen so that required changes once further information has been gathered (the turning points, for example) can be made.</span></li>
</ul>
<p> </p>
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question caused the most difficulty to candidates for two reasons; its content and perhaps lack of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Drawing/sketching graphs is perhaps the area of the course that results in the poorest responses. It is also the area of the course that results in the best. It is therefore the area of the course that good teaching can influence the most.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Candidates should:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">Use the correct scale and window. Label the axes.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Enter the formula into the GDC and use the table function to determine the points to be plotted.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Refer to the graph on the GDC when drawing the curve.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Draw a curve rather than line segments; ensure that the curve is smooth.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Use a pencil rather than a pen so that required changes once further information has been gathered (the turning points, for example) can be made.</span></li>
</ul>
<p><span style="font-size: medium; font-family: times new roman,times;">Parts (i) and (j) had many candidates floundering; there were few good responses to these parts.</span></p>
<div class="question_part_label">i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question caused the most difficulty to candidates for two reasons; its content and perhaps lack of time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Drawing/sketching graphs is perhaps the area of the course that results in the poorest responses. It is also the area of the course that results in the best. It is therefore the area of the course that good teaching can influence the most.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Candidates should:</span></p>
<ul>
<li><span style="font-size: medium; font-family: times new roman,times;">Use the correct scale and window. Label the axes.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Enter the formula into the GDC and use the table function to determine the points to be plotted.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Refer to the graph on the GDC when drawing the curve.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Draw a curve rather than line segments; ensure that the curve is smooth.</span></li>
<li><span style="font-size: medium; font-family: times new roman,times;">Use a pencil rather than a pen so that required changes once further information has been gathered (the turning points, for example) can be made.</span></li>
</ul>
<p><span style="font-size: medium; font-family: times new roman,times;">Parts (i) and (j) had many candidates floundering; there were few good responses to these parts.</span></p>
<div class="question_part_label">j.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">A biologist is studying the relationship between the number of chirps of the Snowy Tree cricket and the air temperature. He records the chirp rate, \(x\), of a cricket, and the corresponding air temperature, \(T\), in degrees Celsius.</p>
<p class="p1">The following table gives the recorded values.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-04_om_08.39.25.png" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Draw the scatter diagram for the above data. Use a scale of 2 cm for 20 chirps on the horizontal axis and 2 cm for 4<span class="s1"><strong>°</strong></span>C on the vertical axis.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Use your graphic display calculator to write down the Pearson’s product–moment correlation <span class="s1">coefficient, \(r\)</span>, between \(x\) and \(T\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Interpret the relationship between \(x\) and \(T\) using your value of \(r\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Use your graphic display calculator to write down the equation of the regression line \(T\) on \(x\). Give the equation in the form \(T = ax + b\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the air temperature when the cricket’s chirp rate is \(70\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Given that \(\bar x = 70\), draw the regression line \(T\) on \(x\) on your scatter diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A forest ranger uses her own formula for estimating the air temperature. She counts the number of chirps in 15 seconds, \(z\), multiplies this number by \(0.45\) and then she adds \(10\).</p>
<p class="p1">Write down the formula that the forest ranger uses for estimating the temperature, \(T\).</p>
<p class="p1">Give the equation in the form \(T = mz + n\).</p>
<div class="marks">[1]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A cricket makes 20 chirps in <strong>15</strong> seconds.</p>
<p class="p1">For this chirp rate</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>calculate an estimate for the temperature, \(T\), <strong>using the forest ranger’s formula</strong>;</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>determine the actual temperature recorded by the biologist, <strong>using the table above</strong>;</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>calculate the percentage error in the forest ranger’s estimate for the temperature, compared to the actual temperature recorded by the biologist.</p>
<div class="marks">[6]</div>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1"><img 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" alt></p>
<p class="p2"><strong><em><span class="Apple-converted-space"> </span>(A4)</em></strong></p>
<p class="p2"><strong>Notes:<span class="Apple-converted-space"> </span></strong>Award <strong><em>(A1) </em></strong>for correct scales and labels.</p>
<p class="p2">Award <strong><em>(A3) </em></strong>for all six points correctly plotted,</p>
<p class="p2"><strong><em> (A2) </em></strong>for four or five points correctly plotted,</p>
<p class="p2"><strong><em> (A1) </em></strong>for two or three points correctly plotted.</p>
<p class="p2">Award at most <strong><em>(A0)(A3) </em></strong>if axes reversed.</p>
<p class="p2">Accept tolerance for \(T\)-axis.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({\text{0.977}}\;\;\;{\text{(0.977324}} \ldots {\text{)}}\) <span class="Apple-converted-space"> </span><strong><em>(G2)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(G1) </em></strong>for \(0.97\).</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(Very) strong positive correlation <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(A1)</em>(ft)</strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(A1) </em></strong>for (very) strong, <strong><em>(A1) </em></strong>for positive.</p>
<p class="p1">Follow through from part (b).</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(T = 0.129x + 6.82\) <span class="Apple-converted-space"> </span><strong><em>(G2)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(G1) </em></strong>for \(0.129x\), <strong><em>(G1) </em></strong>for \( + 6.82\).</p>
<p class="p1">Award a maximum of <strong><em>(G0)(G1) </em></strong>if the answer is not an equation.</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(0.129 \times 70 + 6.82\) <strong><em>(M1)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution of 70 into their equation of regression line.</p>
<p> </p>
<p><strong>OR</strong></p>
<p>\(\frac{{8 + 12.8 + \ldots + 21.1}}{6}\) <strong><em>(M1)</em></strong></p>
<p>\( = 15.9{\text{ }}(15.85)\) <strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p><strong>Note: </strong>Follow through from part (d) without working.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">regression line through \((70,{\text{ }}15.9)\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p1"><strong>Note: </strong>Accept \(15.9 \pm 0.2\).</p>
<p class="p1">Follow through from part (e).</p>
<p class="p2"> </p>
<p class="p1">with \(T\)-intercept, \(6.82\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p1"><strong>Note: </strong>Follow through from part (d). Accept \(6.82 \pm 0.2\).</p>
<p class="p1">In case the regression line is not straight (ruler not used), award <strong><em>(A0)(A1)</em>(ft) </strong>if line passes through both their \((70,{\text{ }}15.9)\) and \((0,{\text{ }}6.82)\), otherwise award <strong><em>(A0)(A0)</em></strong>.</p>
<p class="p1">Do not penalize if line does not intersect the \(T\)-axis.</p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(T = 0.45z + 10\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\(0.45(20) + 10\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution of \(20\) into their formula from part (g).</p>
<p class="p2"> </p>
<p class="p1">\( = 19\;\;\;(^\circ {\text{C}})\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Note: </strong>Follow through from part (g).</p>
<p class="p2"> </p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\( = 18.2\;\;\;(^\circ {\text{C}})\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<p class="p1"> </p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>\(\left| {\frac{{19 - 18.2}}{{18.2}}} \right| \times 100\% \) <span class="Apple-converted-space"> </span><strong><em>(M1)(A1)</em>(ft)</strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution in the percentage error formula, <strong><em>(A1) </em></strong>for correct substitution.</p>
<p class="p2"> </p>
<p class="p1">\({\text{4.40% }}\;\;\;{\text{(4.39560}} \ldots {\text{)}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)<em>(G2)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Follow through from parts (h)(i) and (h)(ii).</p>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">h.</div>
</div>
<br><hr><br>