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<h2>SL Paper 1</h2><div class="specification">
<p>Let <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="p = \frac{{\cos x + \sin y}}{{\sqrt {{w^2} - z} }}">
<mi>p</mi>
<mo>=</mo>
<mfrac>
<mrow>
<mi>cos</mi>
<mo><!-- --></mo>
<mi>x</mi>
<mo>+</mo>
<mi>sin</mi>
<mo><!-- --></mo>
<mi>y</mi>
</mrow>
<mrow>
<msqrt>
<mrow>
<msup>
<mi>w</mi>
<mn>2</mn>
</msup>
</mrow>
<mo>−<!-- − --></mo>
<mi>z</mi>
</msqrt>
</mrow>
</mfrac>
</math></span>,</p>
<p>where <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x = 36^\circ ,{\text{ }}y = 18^\circ ,{\text{ }}w = 29">
<mi>x</mi>
<mo>=</mo>
<msup>
<mn>36</mn>
<mo>∘<!-- ∘ --></mo>
</msup>
<mo>,</mo>
<mrow>
<mtext> </mtext>
</mrow>
<mi>y</mi>
<mo>=</mo>
<msup>
<mn>18</mn>
<mo>∘<!-- ∘ --></mo>
</msup>
<mo>,</mo>
<mrow>
<mtext> </mtext>
</mrow>
<mi>w</mi>
<mo>=</mo>
<mn>29</mn>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z = 21.8">
<mi>z</mi>
<mo>=</mo>
<mn>21.8</mn>
</math></span>.</p>
</div>
<div class="question">
<p>Write your answer to <strong>part (b)(ii) </strong>in the form <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a \times {10^k}">
<mi>a</mi>
<mo>×</mo>
<mrow>
<msup>
<mn>10</mn>
<mi>k</mi>
</msup>
</mrow>
</math></span>, where <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1 \leqslant a < 10,{\text{ }}k \in \mathbb{Z}">
<mn>1</mn>
<mo>⩽</mo>
<mi>a</mi>
<mo><</mo>
<mn>10</mn>
<mo>,</mo>
<mrow>
<mtext> </mtext>
</mrow>
<mi>k</mi>
<mo>∈</mo>
<mrow>
<mi mathvariant="double-struck">Z</mi>
</mrow>
</math></span>.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="3.91 \times {10^{ - 2}}">
<mn>3.91</mn>
<mo>×</mo>
<mrow>
<msup>
<mn>10</mn>
<mrow>
<mo>−</mo>
<mn>2</mn>
</mrow>
</msup>
</mrow>
</math></span> <strong><em>(A1)</em>(ft)<em>(A1)</em>(ft) <em>(C2)</em></strong></p>
<p> </p>
<p><strong>Note</strong><strong>: </strong>Answer should be consistent with their answer to part (b)(ii). Award <strong><em>(A1)</em>(ft) </strong>for 3.91, and <strong><em>(A1)</em>(ft) </strong>for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{10^{ - 2}}">
<mrow>
<msup>
<mn>10</mn>
<mrow>
<mo>−</mo>
<mn>2</mn>
</mrow>
</msup>
</mrow>
</math></span>. Follow through from part (b)(ii).</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p>The following table shows four different sets of numbers: <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\mathbb{N}">
<mrow>
<mi mathvariant="double-struck">N</mi>
</mrow>
</math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\mathbb{Z}">
<mrow>
<mi mathvariant="double-struck">Z</mi>
</mrow>
</math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\mathbb{Q}">
<mrow>
<mi mathvariant="double-struck">Q</mi>
</mrow>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\mathbb{R}">
<mrow>
<mi mathvariant="double-struck">R</mi>
</mrow>
</math></span>.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the second column of the table by giving <strong>one</strong> example of a number from each set.</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>Josh states: “Every integer is a natural number”.</p>
<p>Write down whether Josh’s statement is correct. Justify your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><img 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"><em><strong>(A1)(A1)(A1)(A1)(C4)</strong></em></p>
<p><em><strong>[4 marks]</strong></em></p>
<p> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Incorrect <em><strong>(A1)</strong></em></p>
<p>Natural numbers are positive integers. Integers can also be negative. (or equivalent) <em><strong>(R1) (C2)</strong></em></p>
<p><strong>Note:</strong> Accept a correct justification. Do not award <em><strong>(R0)(A1)</strong></em>.<br>Accept: a statement with an example of an integer which is not natural.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</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>
<br><hr><br><div class="specification">
<p><strong>In this question, give all answers to two decimal places.</strong></p>
<p>Karl invests 1000 US dollars (USD) in an account that pays a nominal annual interest of 3.5%, <strong>compounded quarterly</strong>. He leaves the money in the account for 5 years.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the amount of money he has in the account after 5 years.</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>Write down the amount of <strong>interest</strong> he earned after 5 years.</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>Karl decides to donate this <strong>interest</strong> to a charity in France. The charity receives 170 euros (EUR). The exchange rate is 1 USD = <em>t</em> EUR.</p>
<p>Calculate the value of <em>t</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1000{\left( {1 + \frac{{3.5}}{{4 \times 100}}} \right)^{4 \times 5}}">
<mn>1000</mn>
<mrow>
<msup>
<mrow>
<mo>(</mo>
<mrow>
<mn>1</mn>
<mo>+</mo>
<mfrac>
<mrow>
<mn>3.5</mn>
</mrow>
<mrow>
<mn>4</mn>
<mo>×</mo>
<mn>100</mn>
</mrow>
</mfrac>
</mrow>
<mo>)</mo>
</mrow>
<mrow>
<mn>4</mn>
<mo>×</mo>
<mn>5</mn>
</mrow>
</msup>
</mrow>
</math></span> <em><strong>(M1)(A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution in compound interest formula, <em><strong>(A1)</strong></em> for correct substitution.</p>
<p><strong>OR </strong></p>
<p><em>N</em> = 5</p>
<p><em>I</em> = 3.5</p>
<p><em>PV</em> = 1000</p>
<p><em>P</em>/<em>Y</em> = 1</p>
<p><em>C</em>/<em>Y</em> = 4</p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for <em>C</em>/<em>Y</em> = 4 seen, <em><strong>(M1)</strong></em> for other correct entries.</p>
<p><strong>OR</strong></p>
<p><em>N</em> = 5 × 4</p>
<p><em>I</em> = 3.5</p>
<p><em>PV</em> = 1000</p>
<p><em>P</em>/<em>Y</em> = 1</p>
<p><em>C</em>/<em>Y</em> = 4</p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for <em>C</em>/<em>Y</em> = 4 seen, <em><strong>(M1)</strong></em> for other correct entries.</p>
<p>= 1190.34 (USD) <em><strong>(A1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution in compound interest formula, <em><strong>(A1)</strong></em> for correct substitution.</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>190.34 (USD) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C4)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for subtraction of 1000 from their part (a)(i). Follow through from (a)(i).</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{170}}{{190.34}}">
<mfrac>
<mrow>
<mn>170</mn>
</mrow>
<mrow>
<mn>190.34</mn>
</mrow>
</mfrac>
</math></span> <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for division of 170 by their part (a)(ii).</p>
<p>= 0.89 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C2)</strong></em></p>
<p><strong>Note:</strong> Follow through from their part (a)(ii).</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</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>
<br><hr><br><div class="specification">
<p>For a study, a researcher collected 200 leaves from oak trees. After measuring the lengths of the leaves, in cm, she produced the following cumulative frequency graph.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_17.29.13.png" alt="M17/5/MATSD/SP1/ENG/TZ2/06"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the median length of these leaves.</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 number of leaves with a length less than or equal to 8 cm.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>9 (cm) <strong><em>(A1)</em></strong> <strong><em>(C1)</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>40 (leaves) <strong><em>(A1)</em></strong> <strong><em>(C1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">b.</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>
<br><hr><br><div class="specification">
<p>The speed of light is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{300}}\,{\text{000}}">
<mrow>
<mtext>300</mtext>
</mrow>
<mspace width="thinmathspace"></mspace>
<mrow>
<mtext>000</mtext>
</mrow>
</math></span> kilometres per second. The average distance from the Sun to the Earth is 149.6 million km.</p>
</div>
<div class="question">
<p>Calculate the time, <strong>in minutes</strong>, it takes for light from the Sun to reach the Earth.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{149600000}}{{300000 \times 60}}">
<mfrac>
<mrow>
<mn>149600000</mn>
</mrow>
<mrow>
<mn>300000</mn>
<mo>×</mo>
<mn>60</mn>
</mrow>
</mfrac>
</math></span> <strong><em>(M1)(M1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for dividing the <strong>correct </strong>numerator (which can be presented in a different form such as <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="149.6 \times {10^6}">
<mn>149.6</mn>
<mo>×</mo>
<mrow>
<msup>
<mn>10</mn>
<mn>6</mn>
</msup>
</mrow>
</math></span> or <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1.496 \times {10^8}">
<mn>1.496</mn>
<mo>×</mo>
<mrow>
<msup>
<mn>10</mn>
<mn>8</mn>
</msup>
</mrow>
</math></span>) by <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{300}}\,{\text{000}}">
<mrow>
<mtext>300</mtext>
</mrow>
<mspace width="thinmathspace"></mspace>
<mrow>
<mtext>000</mtext>
</mrow>
</math></span> and <strong><em>(M1) </em></strong>for dividing by 60.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = 8.31{\text{ }}({\text{minutes}}){\text{ }}(8.31111 \ldots {\text{, 8 minutes 19 seconds}})">
<mo>=</mo>
<mn>8.31</mn>
<mrow>
<mtext> </mtext>
</mrow>
<mo stretchy="false">(</mo>
<mrow>
<mtext>minutes</mtext>
</mrow>
<mo stretchy="false">)</mo>
<mrow>
<mtext> </mtext>
</mrow>
<mo stretchy="false">(</mo>
<mn>8.31111</mn>
<mo>…</mo>
<mrow>
<mtext>, 8 minutes 19 seconds</mtext>
</mrow>
<mo stretchy="false">)</mo>
</math></span> <strong><em>(A1) (C3)</em></strong></p>
<p><strong><em>[3 marks]</em></strong></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p>Little Green island originally had no turtles. After 55 turtles were introduced to the island, their population is modelled by</p>
<p><span class="mjpage mjpage__block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="N\left( t \right) = a \times {2^{ - t}} + 10{\text{,}}\,\,\,t \geqslant 0{\text{,}}">
<mi>N</mi>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mi>a</mi>
<mo>×<!-- × --></mo>
<mrow>
<msup>
<mn>2</mn>
<mrow>
<mo>−<!-- − --></mo>
<mi>t</mi>
</mrow>
</msup>
</mrow>
<mo>+</mo>
<mn>10</mn>
<mrow>
<mtext>,</mtext>
</mrow>
<mspace width="thinmathspace"></mspace>
<mspace width="thinmathspace"></mspace>
<mspace width="thinmathspace"></mspace>
<mi>t</mi>
<mo>⩾<!-- ⩾ --></mo>
<mn>0</mn>
<mrow>
<mtext>,</mtext>
</mrow>
</math></span></p>
<p>where <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
<mi>a</mi>
</math></span> is a constant and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="t">
<mi>t</mi>
</math></span> is the time in years since the turtles were introduced.</p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="a">
<mi>a</mi>
</math></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>Find the time, in years, for the population to decrease to 20 turtles.</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>There is a number <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="m">
<mi>m</mi>
</math></span> beyond which the turtle population will not decrease.</p>
<p>Find the value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="m">
<mi>m</mi>
</math></span>. Justify your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="55 = a \times {2^0} + 10">
<mn>55</mn>
<mo>=</mo>
<mi>a</mi>
<mo>×</mo>
<mrow>
<msup>
<mn>2</mn>
<mn>0</mn>
</msup>
</mrow>
<mo>+</mo>
<mn>10</mn>
</math></span> <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution of zero <strong>and</strong> 55 into the function.</p>
<p>45<em><strong> (A1)</strong></em><em><strong> (C2) </strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="45 \times {2^{ - t}} + 10 \leqslant 20">
<mn>45</mn>
<mo>×</mo>
<mrow>
<msup>
<mn>2</mn>
<mrow>
<mo>−</mo>
<mi>t</mi>
</mrow>
</msup>
</mrow>
<mo>+</mo>
<mn>10</mn>
<mo>⩽</mo>
<mn>20</mn>
</math></span> <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for comparing correct expression involving 20 and their 45. Accept an equation.</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="t = 2.17">
<mi>t</mi>
<mo>=</mo>
<mn>2.17</mn>
</math></span> (2.16992…)<em><strong> (A1)</strong></em><strong>(ft)</strong><em><strong> (C2)</strong></em></p>
<p><strong>Note:</strong> Follow through from their part (a), but only if positive.<br><strong>Answer must be in years</strong>; do not accept months for the final <em><strong>(A1)</strong></em>.<em><strong> </strong></em></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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="m =">
<mi>m</mi>
<mo>=</mo>
</math></span>10 <em><strong>(A1)</strong></em></p>
<p>because as the number of years increases the number of turtles approaches 10 <em><strong>(R1)</strong></em><em><strong> (C2)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(R1)</strong></em> for a sketch with an asymptote at approximately <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y = 10">
<mi>y</mi>
<mo>=</mo>
<mn>10</mn>
</math></span>, <br><strong>OR</strong> for table with values such as 10.003 and 10.001 for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="t = 14">
<mi>t</mi>
<mo>=</mo>
<mn>14</mn>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="t = 15">
<mi>t</mi>
<mo>=</mo>
<mn>15</mn>
</math></span>, for example, <br><strong>OR</strong> when <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="t">
<mi>t</mi>
</math></span> approaches large numbers <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
<mi>y</mi>
</math></span> approaches 10. Do not award <em><strong>(A1)(R0)</strong></em>.<em><strong> </strong></em></p>
<p><em><strong>[2 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.</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>Consider the following sets:</p>
<p style="padding-left: 210px;">The universal set <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="U">
<mi>U</mi>
</math></span> consists of all positive integers less than 15;<br><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A">
<mi>A</mi>
</math></span> is the set of all numbers which are multiples of 3;<br><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
<mi>B</mi>
</math></span> is the set of all even numbers.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the elements that belong to <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A \cap B">
<mi>A</mi>
<mo>∩</mo>
<mi>B</mi>
</math></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>Write down the elements that belong to <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A \cap B'">
<mi>A</mi>
<mo>∩</mo>
<msup>
<mi>B</mi>
<mo>′</mo>
</msup>
</math></span>.</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>Write down <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n\left( {A \cap B'} \right)">
<mi>n</mi>
<mrow>
<mo>(</mo>
<mrow>
<mi>A</mi>
<mo>∩</mo>
<msup>
<mi>B</mi>
<mo>′</mo>
</msup>
</mrow>
<mo>)</mo>
</mrow>
</math></span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A">
<mi>A</mi>
</math></span> = {3, 6, 9, 12} <strong>AND </strong> <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
<mi>B</mi>
</math></span> = {2, 4, 6, 8, 10, 12, 14} <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for listing all elements of sets <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A">
<mi>A</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
<mi>B</mi>
</math></span>. May be seen in part (b). Condone the inclusion of 15 in set <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A">
<mi>A</mi>
</math></span> when awarding the <em><strong>(M1)</strong></em>.</p>
<p>6, 12 <em><strong>(A1)(A1) (C3) </strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for each correct element. Award <em><strong>(A1)(A0)</strong></em> if one additional value seen. Award <em><strong>(A0)(A0)</strong></em> if two or more additional values are seen.</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>3, 9 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C2) </strong></em></p>
<p><strong>Note:</strong> Follow through from part (a) but only if their <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="A">
<mi>A</mi>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="B">
<mi>B</mi>
</math></span> are explicitly listed.<br>Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for each correct element. Award <em><strong>(A1)(A0)</strong></em> if one additional value seen. Award <em><strong>(A0)(A0)</strong></em> if two or more additional values are seen.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>2 <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C1) </strong></em></p>
<p><strong>Note:</strong> Follow through from part (b)(i).</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">b.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.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Place the numbers <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="2\pi {\text{,}}\,\, - 5{\text{,}}\,\,{3^{ - 1}}">
<mn>2</mn>
<mi>π</mi>
<mrow>
<mtext>,</mtext>
</mrow>
<mspace width="thinmathspace"></mspace>
<mspace width="thinmathspace"></mspace>
<mo>−</mo>
<mn>5</mn>
<mrow>
<mtext>,</mtext>
</mrow>
<mspace width="thinmathspace"></mspace>
<mspace width="thinmathspace"></mspace>
<mrow>
<msup>
<mn>3</mn>
<mrow>
<mo>−</mo>
<mn>1</mn>
</mrow>
</msup>
</mrow>
</math></span> and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{2^{\frac{3}{2}}}">
<mrow>
<msup>
<mn>2</mn>
<mrow>
<mfrac>
<mn>3</mn>
<mn>2</mn>
</mfrac>
</mrow>
</msup>
</mrow>
</math></span> in the correct position on the Venn diagram.</p>
<p><img 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"></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>In the table indicate which <strong>two</strong> of the given statements are true by placing a tick (✔) in the right hand column.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><img 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"> <strong><em>(A1)(A1)(A1)(A1)</em><em> </em></strong><strong><em>(C4)</em></strong></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for each number in the correct position.</p>
<p><em><strong>[4 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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"> <strong><em>(A1)(A1)</em><em> </em></strong><strong><em>(C2)</em></strong></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for each correctly placed tick.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</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>
<br><hr><br><div class="specification">
<p>A solid right circular cone has a base radius of 21 cm and a slant height of 35 cm.<br>A smaller right circular cone has a height of 12 cm and a slant height of 15 cm, and is removed from the top of the larger cone, as shown in the diagram.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question">
<p>Calculate the radius of the base of the cone which has been removed.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\sqrt {{{15}^2} - {{12}^2}} ">
<msqrt>
<mrow>
<msup>
<mrow>
<mn>15</mn>
</mrow>
<mn>2</mn>
</msup>
</mrow>
<mo>−</mo>
<mrow>
<msup>
<mrow>
<mn>12</mn>
</mrow>
<mn>2</mn>
</msup>
</mrow>
</msqrt>
</math></span> <em><strong> (M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into Pythagoras theorem.</p>
<p><strong>OR</strong></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{\text{radius}}}}{{21}} = \frac{{15}}{{35}}">
<mfrac>
<mrow>
<mrow>
<mtext>radius</mtext>
</mrow>
</mrow>
<mrow>
<mn>21</mn>
</mrow>
</mfrac>
<mo>=</mo>
<mfrac>
<mrow>
<mn>15</mn>
</mrow>
<mrow>
<mn>35</mn>
</mrow>
</mfrac>
</math></span> <em><strong> (M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for a correct equation.</p>
<p>= 9 (cm) <em><strong>(A1) (C2)</strong></em></p>
<p><em><strong>[2 marks]</strong></em></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p>A solid glass paperweight consists of a hemisphere of diameter 6 cm on top of a cuboid with a square base of length 6 cm, as shown in the diagram.</p>
<p style="text-align: center;"><img 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"></p>
<p style="text-align: left;">The height of the cuboid, <em>x </em>cm, is equal to the height of the hemisphere.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of <em>x</em>.</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>Calculate the volume of the paperweight.</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>1 cm<sup>3</sup> of glass has a mass of 2.56 grams.</p>
<p>Calculate the mass, in grams, of the paperweight.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>3 (cm) <em><strong>(A1) (C1)</strong></em></p>
<p> </p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong>units are required in part (a)(ii)</strong></p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{2} \times \frac{{4\pi \times {{\left( 3 \right)}^3}}}{3} + 3 \times {\left( 6 \right)^2}">
<mfrac>
<mn>1</mn>
<mn>2</mn>
</mfrac>
<mo>×</mo>
<mfrac>
<mrow>
<mn>4</mn>
<mi>π</mi>
<mo>×</mo>
<mrow>
<msup>
<mrow>
<mrow>
<mo>(</mo>
<mn>3</mn>
<mo>)</mo>
</mrow>
</mrow>
<mn>3</mn>
</msup>
</mrow>
</mrow>
<mn>3</mn>
</mfrac>
<mo>+</mo>
<mn>3</mn>
<mo>×</mo>
<mrow>
<msup>
<mrow>
<mo>(</mo>
<mn>6</mn>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
</mrow>
</math></span> <em><strong>(M1)(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for <strong>their</strong> correct substitution in volume of sphere formula divided by 2, <em><strong>(M1)</strong></em> for adding <strong>their</strong> correctly substituted volume of the cuboid.</p>
<p> </p>
<p>= 165 cm<sup>3 </sup>(164.548…) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C3)</strong></em></p>
<p><strong>Note:</strong> The answer is 165 cm<sup>3</sup>; the units are required. Follow through from part (a)(i).</p>
<p> </p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>their 164.548… × 2.56 <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for multiplying their part (a)(ii) by 2.56.</p>
<p> </p>
<p>= 421 (g) (421.244…(g)) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C2)</strong></em></p>
<p><strong>Note:</strong> Follow through from part (a)(ii).</p>
<p> </p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</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>
<br><hr><br><div class="specification">
<p>Harry travelled from the USA to Mexico and changed 700 dollars (USD) into pesos (MXN).</p>
<p>The exchange rate was 1 USD = 18.86 MXN.</p>
</div>
<div class="specification">
<p>On his return, Harry had 2400 MXN to change back into USD.</p>
<p>There was a 3.5 % commission to be paid on the exchange.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the amount of MXN Harry received.</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 value of the commission, in MXN, that Harry paid.</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 exchange rate for this exchange was 1 USD = 17.24 MXN.</p>
<p>Calculate the amount of USD Harry received. Give your answer correct to the nearest cent.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>700 × 18.86 <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for multiplication by 18.86.</p>
<p>= 13 200 (13 202) (MXN) <em><strong> (A1) (C2)</strong></em></p>
<p> </p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>2400 × 0.035 <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for multiplication by 0.035.</p>
<p>= 84 (MXN) <em><strong> (A1) (C2)</strong></em></p>
<p> </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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{2400 - {\text{their part (b)}}}}{{17.24}}">
<mfrac>
<mrow>
<mn>2400</mn>
<mo>−</mo>
<mrow>
<mtext>their part (b)</mtext>
</mrow>
</mrow>
<mrow>
<mn>17.24</mn>
</mrow>
</mfrac>
</math></span> <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for dividing 2400 minus their part (b), by 17.24. Follow through from part (b).</p>
<p>= 134.34 (USD) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C2)</strong></em></p>
<p><strong>Note:</strong> Award at most <em><strong>(M1)(A0)</strong></em> if final answer is not given to nearest cent.</p>
<p> </p>
<p><em><strong>[2 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.</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><strong>In this question give all answers correct to two decimal places.</strong></p>
<p>Javier takes 5000 US dollars (USD) on a business trip to Venezuela. He exchanges 3000 USD into Venezuelan bolívars (VEF).</p>
<p>The exchange rate is 1 USD <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = ">
<mo>=</mo>
</math></span> 6.3021 VEF.</p>
</div>
<div class="specification">
<p>During his time in Venezuela, Javier spends 1250 USD and 12 000 VEF. On his return home, Javier exchanges his remaining VEF into USD.</p>
<p>The exchange rate is 1 USD <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = ">
<mo>=</mo>
</math></span> 8.7268 VEF.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the amount of VEF that Javier receives.</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 total amount, in USD, that Javier has remaining from his 5000 USD after his trip to Venezuela.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><strong>The first answer not given correct to two decimal places is not awarded the final <em>(A1)</em>.</strong></p>
<p><strong>Incorrect rounding is not penalized thereafter. </strong></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="3000 \times 6.3021">
<mn>3000</mn>
<mo>×</mo>
<mn>6.3021</mn>
</math></span> <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for multiplying 3000 by 6.3021.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = 18906.30">
<mo>=</mo>
<mn>18906.30</mn>
</math></span> <strong><em>(A1) (C2)</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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{18906.30 - 12000}}{{8.7268}}{\text{ + }}(2000 - 1250)">
<mfrac>
<mrow>
<mn>18906.30</mn>
<mo>−</mo>
<mn>12000</mn>
</mrow>
<mrow>
<mn>8.7268</mn>
</mrow>
</mfrac>
<mrow>
<mtext> + </mtext>
</mrow>
<mo stretchy="false">(</mo>
<mn>2000</mn>
<mo>−</mo>
<mn>1250</mn>
<mo stretchy="false">)</mo>
</math></span> <strong><em>(M1)(M1)(M1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for subtracting 12 000 from their answer to part (a) OR for 6906.30 seen, <strong><em>(M1) </em></strong>for dividing their amount by 8.7268 (can be implied if 791.389… seen) and <strong><em>(M1) </em></strong>for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="2000 - 1250">
<mn>2000</mn>
<mo>−</mo>
<mn>1250</mn>
</math></span> <strong><em>OR</em></strong> 750 seen.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = 1541.39">
<mo>=</mo>
<mn>1541.39</mn>
</math></span> <strong><em>(A1)</em>(ft) <em>(C4)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Follow through from part (a).</p>
<p> </p>
<p><strong><em>[4 marks]</em></strong></p>
<div class="question_part_label">b.</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>
<br><hr><br><div class="specification">
<p><strong>In this question, give all answers correct to 2 decimal places.</strong></p>
<p>Jose travelled from Buenos Aires to Sydney. He used Argentine pesos, ARS, to buy 350 Australian dollars, AUD, at a bank. The exchange rate was 1 ARS = 0.1559 AUD.</p>
</div>
<div class="specification">
<p>The bank charged Jose a commission of 2%.</p>
</div>
<div class="specification">
<p>Jose used his credit card to pay his hotel bill in Sydney. The bill was 585 AUD. The value the credit card company charged for this payment was 4228.38 ARS. The exchange rate used by the credit card company was 1 AUD = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span> ARS. No commission was charged.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use this exchange rate to calculate the amount of ARS that is equal to 350 AUD.</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 <strong>total </strong>amount of ARS Jose paid to get 350 AUD.</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 value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><strong>Note: </strong>In this question, the first time an answer is not to 2 dp the final <strong><em>(A1) </em></strong>is not awarded.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{350}}{{0.1559}}">
<mfrac>
<mrow>
<mn>350</mn>
</mrow>
<mrow>
<mn>0.1559</mn>
</mrow>
</mfrac>
</math></span> <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for dividing 350 by 0.1559.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = 2245.03{\text{ (ARS)}}">
<mo>=</mo>
<mn>2245.03</mn>
<mrow>
<mtext> (ARS)</mtext>
</mrow>
</math></span> <strong><em>(A1) (C2)</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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="2245.03 \times 1.02">
<mn>2245.03</mn>
<mo>×</mo>
<mn>1.02</mn>
</math></span> <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for multiplying their answer to part (a) by 1.02.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = 2289.93{\text{ (ARS)}}">
<mo>=</mo>
<mn>2289.93</mn>
<mrow>
<mtext> (ARS)</mtext>
</mrow>
</math></span> <strong><em>(A1)</em>(ft) <em>(C2)</em></strong></p>
<p><strong>OR</strong></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="2245.03 \times 0.02">
<mn>2245.03</mn>
<mo>×</mo>
<mn>0.02</mn>
</math></span> <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for multiplying their answer to part (a) by 0.02.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = 44.9006">
<mo>=</mo>
<mn>44.9006</mn>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="2245.03 + 44.90">
<mn>2245.03</mn>
<mo>+</mo>
<mn>44.90</mn>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = 2289.93{\text{ (ARS)}}">
<mo>=</mo>
<mn>2289.93</mn>
<mrow>
<mtext> (ARS)</mtext>
</mrow>
</math></span> <strong><em>(A1)</em>(ft) <em>(C2)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Follow through from part (a).</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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{4228.38}}{{585}}">
<mfrac>
<mrow>
<mn>4228.38</mn>
</mrow>
<mrow>
<mn>585</mn>
</mrow>
</mfrac>
</math></span> <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for dividing 4228.38 by 585.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = 7.23">
<mo>=</mo>
<mn>7.23</mn>
</math></span> <strong><em>(A1) (C2)</em></strong></p>
<p><strong><em>[2 marks]</em></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="question">
<p>Complete the following table by placing ticks (✓) to show which of the number sets <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\mathbb{N}"> <mrow> <mi mathvariant="double-struck">N</mi> </mrow> </math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\mathbb{Z}"> <mrow> <mi mathvariant="double-struck">Z</mi> </mrow> </math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\mathbb{Q}"> <mrow> <mi mathvariant="double-struck">Q</mi> </mrow> </math></span>, and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\mathbb{R}"> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> </math></span> these numbers belong to. The first row has been completed as an example.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p><img style="display: block;margin-left:auto;margin-right:auto;" 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"></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for each completely correct row, <em><strong>(A0)</strong></em> otherwise.</p>
<p><em><strong>[6 marks]</strong></em></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p>Claudia travels from Buenos Aires to Barcelona. She exchanges 8000 Argentine Pesos (ARS) into Euros (EUR).</p>
<p>The exchange rate is 1 ARS = 0.09819 EUR. The bank charges a 2% commission on the exchange.</p>
</div>
<div class="specification">
<p>When Claudia returns to Buenos Aires she has 85 EUR left and exchanges this money back into ARS. The exchange rate is 1 ARS = 0.08753 EUR. The bank charges <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="r">
<mi>r</mi>
</math></span>% commission. The commission charged on this exchange is 14.57 ARS.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the amount of Euros that Claudia receives. Give your answer correct to two decimal places.</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 value of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="r">
<mi>r</mi>
</math></span>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="8000 \times 0.09819 \times 0.98">
<mn>8000</mn>
<mo>×</mo>
<mn>0.09819</mn>
<mo>×</mo>
<mn>0.98</mn>
</math></span> <strong><em>(M1)(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for multiplying 8000 by 0.09819, <strong><em>(M1) </em></strong>for multiplying by 0.98 (or equivalent).</p>
<p> </p>
<p>769.81 (EUR) <strong><em>(A1)</em></strong> <strong><em>(C3)</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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="r\% \times \frac{{85}}{{0.08753}} = 14.57">
<mi>r</mi>
<mi mathvariant="normal">%</mi>
<mo>×</mo>
<mfrac>
<mrow>
<mn>85</mn>
</mrow>
<mrow>
<mn>0.08753</mn>
</mrow>
</mfrac>
<mo>=</mo>
<mn>14.57</mn>
</math></span> <strong><em>(M1)(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for dividing 85 by 0.08753, and <strong><em>(M1) </em></strong>for multiplying their <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{85}}{{0.08753}}">
<mfrac>
<mrow>
<mn>85</mn>
</mrow>
<mrow>
<mn>0.08753</mn>
</mrow>
</mfrac>
</math></span> by <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="r\% ">
<mi>r</mi>
<mi mathvariant="normal">%</mi>
</math></span> and equating to 14.57.</p>
<p> </p>
<p><strong>OR</strong></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{85}}{{0.08753}} = {\text{971.095}} \ldots ">
<mfrac>
<mrow>
<mn>85</mn>
</mrow>
<mrow>
<mn>0.08753</mn>
</mrow>
</mfrac>
<mo>=</mo>
<mrow>
<mtext>971.095</mtext>
</mrow>
<mo>…</mo>
</math></span> <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for dividing 85 by 0.08753.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{14.57}}{{9.71095 \ldots }}">
<mfrac>
<mrow>
<mn>14.57</mn>
</mrow>
<mrow>
<mn>9.71095</mn>
<mo>…</mo>
</mrow>
</mfrac>
</math></span><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,">
<mspace width="thinmathspace"></mspace>
<mspace width="thinmathspace"></mspace>
<mspace width="thinmathspace"></mspace>
</math></span><strong>OR</strong><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,\,\,">
<mspace width="thinmathspace"></mspace>
<mspace width="thinmathspace"></mspace>
<mspace width="thinmathspace"></mspace>
</math></span><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{14.57}}{{971.095 \ldots }} \times 100">
<mfrac>
<mrow>
<mn>14.57</mn>
</mrow>
<mrow>
<mn>971.095</mn>
<mo>…</mo>
</mrow>
</mfrac>
<mo>×</mo>
<mn>100</mn>
</math></span> <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for dividing 14.57 by 9.71095… or equivalent.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="r = 1.50{\text{ }}(1.50036 \ldots )">
<mi>r</mi>
<mo>=</mo>
<mn>1.50</mn>
<mrow>
<mtext> </mtext>
</mrow>
<mo stretchy="false">(</mo>
<mn>1.50036</mn>
<mo>…</mo>
<mo stretchy="false">)</mo>
</math></span> <strong><em>(A1)</em></strong> <strong><em>(C3)</em></strong></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.</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>
<br><hr><br><div class="specification">
<p><strong>In this question, give all answers to two decimal places.</strong></p>
<p>Velina travels from New York to Copenhagen with 1200 US dollars (USD). She exchanges her money to Danish kroner (DKK). The exchange rate is 1 USD = 7.0208 DKK.</p>
</div>
<div class="specification">
<p>At the end of her trip Velina has 3450 DKK left that she exchanges to USD. The bank charges a 5 % commission. The exchange rate is still 1 USD = 7.0208 DKK .</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the amount that Velina receives in DKK.</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 amount, in DKK, that will be left to exchange after commission.</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>Hence, calculate the amount of USD she receives.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p>1200 × 7.0208 <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for multiplying by 7.0208.</p>
<p>8424.96 (DKK) <em><strong>(A1) (C2)</strong></em></p>
<p><em><strong>[2 marks]</strong></em> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>0.95 × 3450 <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for multiplying 3450 by 0.95 (or equivalent).</p>
<p>3277.50 (DKK) <em><strong>(A1) (C2)</strong></em></p>
<p><strong>Note:</strong> The answer must be given to two decimal places unless already penalized in part (a).</p>
<p><em><strong>[2 marks]</strong></em> </p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{3277.50}}{{7.0208}}">
<mfrac>
<mrow>
<mn>3277.50</mn>
</mrow>
<mrow>
<mn>7.0208</mn>
</mrow>
</mfrac>
</math></span> <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Follow through from part (b)(i). Award <em><strong>(M1)</strong></em> for dividing their part (b)(i) by 7.0208.</p>
<p>466.83 (USD) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C2)</strong></em></p>
<p><strong>Note:</strong> The answer must be given to two decimal places unless already penalized in parts (a) or (b)(i).</p>
<p><em><strong>[2 marks]</strong></em> </p>
<div class="question_part_label">b.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.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>Daniela is going for a holiday to South America. She flies from the US to Argentina stopping in Peru on the way.</p>
<p>In Peru she exchanges 85 United States dollars (USD) for Peruvian nuevo sol (PEN). The exchange rate is 1 USD = 3.25 PEN and a flat fee of 5 USD commission is charged.</p>
</div>
<div class="specification">
<p>At the end of Daniela’s holiday she has 370 Argentinean peso (ARS). She converts this back to USD at a bank that charges a 4% commission on the exchange. The exchange rate is 1 USD = 9.60 ARS.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the amount of PEN she receives.</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 amount of USD she receives.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="color: #999;font-size: 90%;font-style: italic;">* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.</p><p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="(85 - 5) \times 3.25">
<mo stretchy="false">(</mo>
<mn>85</mn>
<mo>−</mo>
<mn>5</mn>
<mo stretchy="false">)</mo>
<mo>×</mo>
<mn>3.25</mn>
</math></span> <strong><em>(M1)(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for subtracting 5 from 85, <strong><em>(M1) </em></strong>for multiplying by 3.25.</p>
<p>Award <strong><em>(M1) </em></strong>for <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="85 \times 3.25">
<mn>85</mn>
<mo>×</mo>
<mn>3.25</mn>
</math></span>, <strong><em>(M1) </em></strong>for subtracting <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="5 \times 3.25">
<mn>5</mn>
<mo>×</mo>
<mn>3.25</mn>
</math></span>.</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = 260{\text{ (PEN)}}">
<mo>=</mo>
<mn>260</mn>
<mrow>
<mtext> (PEN)</mtext>
</mrow>
</math></span> <strong><em>(A1)</em></strong> <strong><em>(C3)</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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{(370 \times 0.96)}}{{9.6}}">
<mfrac>
<mrow>
<mo stretchy="false">(</mo>
<mn>370</mn>
<mo>×</mo>
<mn>0.96</mn>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mn>9.6</mn>
</mrow>
</mfrac>
</math></span> <strong><em>(M1)(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for multiplying by 0.96 (or equivalent), <strong><em>(M1) </em></strong>for dividing by 9.6. If division by 3.25 seen in part (a), condone multiplication by 9.6 in part (b).</p>
<p> </p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" = 37{\text{ (USD)}}">
<mo>=</mo>
<mn>37</mn>
<mrow>
<mtext> (USD)</mtext>
</mrow>
</math></span> <strong><em>(A1)</em></strong> <strong><em>(C3)</em></strong></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.</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>
<br><hr><br>