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</div><h2>SL Paper 1</h2><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The equation of the straight line \({L_1}\) is \(y = 2x - 3.\)</p>
<p>Write down the \(y\)-intercept of \({L_1}\) .</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 gradient of \({L_1}\) .</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>The line \({L_2}\) is parallel to \({L_1}\) and passes through the point \((0,\,\,3)\) .</p>
<p>Write down the equation of \({L_2}\) .</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>The line \({L_3}\) is perpendicular to \({L_1}\) and passes through the point \(( - 2,\,\,6).\)</p>
<p>Write down the gradient of \({L_3}.\)</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>Find the equation of \({L_3}\) . Give your answer in the form \(ax + by + d = 0\) , where \(a\) , \(b\) and \(d\) are integers.</p>
<div class="marks">[2]</div>
<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;">The equation of a line <em>L</em><sub>1</sub> is \(2x + 5y = −4\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the gradient of the line <em>L</em><sub>1</sub>.</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>A second line <em>L</em><sub>2</sub> is perpendicular to <em>L</em><sub>1</sub>.</span></p>
<p><span>Write down the gradient of <em>L</em><sub>2</sub>.</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 point (5, 3) is on <em>L</em><sub>2</sub>.</span></p>
<p><span>Determine the equation of <em>L</em><sub>2</sub>.</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>Lines <em>L</em><sub>1</sub> and <em>L</em><sub>2</sub> intersect at point P.</span></p>
<p><span>Using your graphic display calculator or otherwise, find the coordinates of P.</span></p>
<div class="marks">[2]</div>
<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;">Triangle \({\text{ABC}}\)</span><span style="font-family: times new roman,times; font-size: medium;"> is such that \({\text{AC}}\)</span><span style="font-family: times new roman,times; font-size: medium;"> is \(7{\text{ cm}}\), angle \({\text{ABC}}\)</span><span style="font-family: times new roman,times; font-size: medium;"> is \({65^ \circ }\) and angle \({\text{ACB}}\)</span><span style="font-family: times new roman,times; font-size: medium;"> is \({30^ \circ }\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Sketch the triangle writing in the side length and angles.</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 \({\text{AB}}\).</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 area of triangle \({\text{ABC}}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The equation of the line \({R_1}\) is \(2x + y - 8 = 0\) . The line \({R_2}\) is perpendicular to \({R_1}\) .</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the gradient of \({R_2}\) .</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>The point of intersection of \({R_1}\) and \({R_2}\) is \((4{\text{, }}k)\) .</span><br><span>Find</span><br><span>(i) the value of \(k\) ;</span><br><span>(ii) the equation of \({R_2}\) .</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A type of candy is packaged in a right circular cone that has volume \({\text{100 c}}{{\text{m}}^{\text{3}}}\) and vertical height 8 cm.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_11.14.55.png" alt="M17/5/MATSD/SP1/ENG/TZ1/09"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the radius, \(r\), of the circular base of the cone.</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 slant height, \(l\), of the cone.</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 curved surface area of the cone.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The straight line, <em>L</em><sub>1</sub>, has equation <em>y</em> = −2<em>x</em> + 5.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the gradient of <em>L</em><sub>1</sub> .</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>Line <em>L</em><sub>2</sub>, is perpendicular to line <em>L</em><sub>1</sub>, and passes through the point (4, 5) .</span></p>
<p><span>(i) Write down the gradient of <em>L</em><sub>2</sub> .</span></p>
<p><span>(ii) Find the equation of <em>L</em><sub>2</sub> .</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>Line <em>L</em><sub>2</sub>, is perpendicular to line <em>L</em><sub>1</sub>, and passes through the point (4, 5) .</span></span></p>
<p><span>Write down the coordinates of the point of intersection of <em>L</em><sub>1</sub> and <em>L</em><sub>2</sub> .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A cylindrical container with a radius of 8 cm is placed on a flat surface. The container is filled with water to a height of 12 cm, as shown in the following diagram.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-16_om_06.17.11.png" alt="M17/5/MATSD/SP1/ENG/TZ2/12"></p>
</div>
<div class="specification">
<p>A heavy ball with a radius of 2.9 cm is dropped into the container. As a result, the height of the water increases to \(h\) cm, as shown in the following diagram.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-16_om_06.18.54.png" alt="M17/5/MATSD/SP1/ENG/TZ2/12.b"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the volume of water in the container.</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 value of \(h\).</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;"><em>P</em> (4, 1) and <em>Q</em> (0, –5) are points on the coordinate plane.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Determine the</span></p>
<p><span>(i) coordinates of <em>M</em>, the midpoint of <em>P</em> and <em>Q</em>.</span></p>
<p><span>(ii) gradient of the line drawn through <em>P</em> and <em>Q</em>.</span></p>
<p><span>(iii) gradient of the line drawn through <em>M</em>, perpendicular to <em>PQ</em>.</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>The perpendicular line drawn through <em>M</em> meets the <em>y</em>-axis at <em>R</em> (0, <em>k</em>).</span></p>
<p><span>Find <em>k</em>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: 'times new roman', times; font-size: medium;">The area of a circle is equal to 8 cm<sup>2</sup>.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the radius of the circle.</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>This circle is the base of a <strong>solid</strong> cylinder of height 25 cm.</span></p>
<p><span>Write down the volume of the <strong>solid</strong> cylinder.</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><span>This circle is the base of a <strong>solid</strong> cylinder of height 25 cm.</span></span></p>
<p><span>Find the <strong>total</strong> surface area of the <strong>solid</strong> cylinder.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Triangle \({\text{ABC}}\) is drawn such that angle </span><span style="font-family: times new roman,times; font-size: medium;"><span style="font-family: times new roman,times; font-size: medium;">\({\text{ABC}}\) </span>is \({90^ \circ }\), angle </span><span style="font-family: times new roman,times; font-size: medium;"><span style="font-family: times new roman,times; font-size: medium;">\({\text{ACB}}\) </span>is \({60^ \circ }\) and </span><span style="font-family: times new roman,times; font-size: medium;"><span style="font-family: times new roman,times; font-size: medium;">\({\text{AB}}\) </span>is \(7.3{\text{ cm}}\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>(i) Sketch a diagram to illustrate this information. Label the points \({\text{A, B, C}}\). Show the angles \({90^ \circ }\), \({60^ \circ }\) and the length \(7.3{\text{ cm}}\) on your diagram.</span></p>
<p><span>(ii) Find the length of \({\text{BC}}\).</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>Point </span><span><span><span>\({\text{D}}\)</span></span> is on the straight line </span><span><span><span>\({\text{AC}}\)</span></span> extended and is such that angle </span><span><span><span>\({\text{CDB}}\)</span></span> is \({20^ \circ }\).</span></p>
<p><span>(i) Show the point </span><span><span><span>\({\text{D}}\)</span></span> and the angle \({20^ \circ }\) on your diagram.</span></p>
<p><span>(ii) Find the size of angle </span><span><span><span>\({\text{CBD}}\)</span></span>.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A and B are points on a straight line as shown on the graph below.</span></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>Write down the <em>y</em>-intercept of the line AB.</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 gradient of the line AB.</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 acute angle between the line AB and the <em>x</em>-axis is <em>θ</em>.</span></p>
<p><span>Show <em>θ</em> on the 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><span>The acute angle between the line AB and the <em>x</em>-axis is <em>θ</em></span></span><span><span>.</span></span></p>
<p><span>Calculate the size of <em>θ</em>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="question">
<p><span>The following diagrams show six lines with equations of the form <em>y</em> =<em>mx</em> +<em>c</em>.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<p><span>In the table below there are four possible conditions for the pair of values <em>m</em> and <em>c</em>. Match each of the given conditions with one of the lines drawn above.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A ladder is standing on horizontal ground and leaning against a vertical wall. The length of the ladder is \(4.5\) metres. The distance between the bottom of the ladder and the base of the wall is \(2.2\) metres.</p>
<p>Use the above information to sketch a labelled diagram showing the ground, the ladder and the wall.</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>Calculate the distance between the top of the ladder and the base of the wall.</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>obtuse</strong> angle made by the ladder with the ground.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The quadrilateral ABCD has AB = 10 cm, AD = 12 cm and CD = 7 cm.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The size of angle ABC is 100° and the size of angle ACB is 50°.</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>Find the length of AC in centimetres.</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 angle ADC.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The straight line, <em>L</em><sub>1</sub>, has equation \(2y − 3x =11\). The point A has coordinates (6, 0).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Give a reason why <em>L</em><sub>1</sub> <strong>does not</strong> pass through A.</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 gradient of <em>L</em><sub>1</sub>.</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><em>L</em><sub>2</sub> is a line perpendicular to <em>L</em><sub>1</sub>. The equation of <em>L</em><sub>2</sub> is \(y = mx + c\).</span></p>
<p><span>Write down the value of <em>m</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><em>L</em><sub>2</sub> <strong>does</strong> pass through A.</span></p>
<p><span>Find the value of <em>c</em>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">The diagram shows a triangle \({\rm{ABC}}\). The size of angle \({\rm{C\hat AB}}\) is \(55^\circ\) and the length of \({\rm{AM}}\) is \(10\) m, where \({\rm{M}}\) is the midpoint of \({\rm{AB}}\). Triangle \({\rm{CMB}}\) is isosceles with \({\text{CM}} = {\text{MB}}\)<span class="s1">.</span></p>
<p class="p1" style="text-align: center;"><span class="s1"><img src="images/Schermafbeelding_2015-12-20_om_14.30.17.png" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down the length of \({\rm{MB}}\).</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 size of angle \({\rm{C\hat MB}}\).</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 \({\rm{CB}}\).</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The coordinates of point A are (−4, <em>p</em>) and the coordinates of point B are (2, −3) .</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The mid-point of the line segment AB, has coordinates (<em>q</em>, 1) .</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the value of</span></p>
<p><span>(i) <em>q</em> ;</span></p>
<p><span>(ii) <em>p</em> .</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>Calculate the distance AB.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</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 diagram shows a wheelchair ramp, \({\text{A}}\), designed to descend from a height of \(80{\text{ cm}}\).</span></p>
<div style="text-align: center;"><br><img src="images/Schermafbeelding_2014-09-02_om_14.39.20.png" alt></div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use the diagram above to calculate the gradient of the ramp.</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>The gradient for a <strong>safe </strong>descending wheelchair ramp is \( - \frac{1}{{12}}\).</span></p>
<p><span>Using your answer to part (a), comment on why wheelchair ramp \({\text{A}}\) is <strong>not safe</strong>.</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 equation of a second wheelchair ramp, B, is \(2x + 24y - 1920 = 0\).</span></p>
<p><span><br><img src="images/Schermafbeelding_2014-09-02_om_14.42.07.png" alt><br></span></p>
<p><span>(i) Determine whether wheelchair ramp \({\text{B}}\) is safe or not. Justify your answer.</span></p>
<p><span>(ii) Find the horizontal distance of wheelchair ramp \({\text{B}}\).</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">In the diagram, \({\text{B}}\hat {\text{A}}{\text{C}} = {90^ \circ }\) . The length of the three sides are \(x{\text{ cm}}\), \((x + 7){\text{ cm}}\) and \((x + 8){\text{ cm}}\).</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>Write down and <strong>simplify</strong> a quadratic equation in \(x\) which links the three sides of the triangle.</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>Solve the quadratic equation found in part (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>Write down the value of the perimeter of the triangle.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1"><span class="s1">The diagram shows the straight line \({L_1}\), which intersects the \(x\)-axis</span> at \({\text{A}}(6,{\text{ }}0)\) <span class="s1">and the \(y\)-ax</span>is at \({\text{B}}(0,{\text{ }}2)\) <span class="s1">.</span></p>
<p class="p1" style="text-align: center;"><span class="s1"><img src="images/Schermafbeelding_2015-12-18_om_17.19.23.png" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down the coordinates of <span class="s1">M</span>, the midpoint of line segment <span class="s1">AB</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">Calculate the gradient of \({L_1}\).</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"><span class="s1">The line \({L_2}\) is parallel to \({L_1}\) </span>and passes through the point \((3,{\text{ }}2)\)<span class="s1">.</span></p>
<p class="p2">Find the equation of \({L_2}\). Give your answer in the form \(y = mx + c\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">A straight line, \({L_1}\) , has equation \(x + 4y + 34 = 0\) .</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the gradient of \({L_1}\) .</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 equation of line \({L_2}\) is \(y = mx\) . \({L_2}\) is perpendicular to \({L_1}\) . </span></p>
<p><span>Find the value of \(m\).</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 equation of line \({L_2}\) is \(y = mx\) . \({L_2}\) is perpendicular to \({L_1}\) . </span></p>
<p><span>Find the coordinates of the point of intersection of the lines \({L_1}\) and \({L_2}\) .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The equation of line \({L_1}\) is \(y = 2.5x + k\). Point \({\text{A}}\) \(\,(3,\, - 2)\) lies on \({L_1}\).</p>
<p>Find the value of \(k\).</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>The line \({L_2}\) is perpendicular to \({L_1}\) and intersects \({L_1}\) at point \({\text{A}}\).</p>
<p>Write down the gradient of \({L_2}\).</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 equation of \({L_2}\). Give your answer 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>Write your answer to part (c) in the form \(ax + by + d = 0\) where \(a\), \(b\) and \(d \in \mathbb{Z}\).</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The straight line, <em>L</em><sub>1</sub>, has equation \(y = - \frac{1}{2}x - 2\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the <em>y</em> intercept of <em>L</em><sub>1</sub>.</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>Write down the gradient of <em>L</em><sub>1</sub>.</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 line <em>L</em><sub>2</sub> is perpendicular to <em>L</em><sub>1</sub> and passes through the point (3, 7).</span></p>
<p><span>Write down the gradient of the line <em>L</em><sub>2</sub>.</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 line <em>L</em><sub>2</sub> is perpendicular to <em>L</em><sub>1</sub> and passes through the point (3, 7).</span></p>
<p><span>Find the equation of <em>L</em><sub>2</sub>. Give your answer in the form <em>ax</em> + <em>by</em> + <em>d</em> = 0 where \(a,{\text{ }}b,{\text{ }}d \in \mathbb{Z}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">A hotel has a rectangular swimming pool. Its length is \(x\) metres, its width is \(y\) metres and its perimeter is \(44\) metres.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down an equation for \(x\) and \(y\).</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 area of the swimming pool is \({\text{112}}{{\text{m}}^2}\).</p>
<p class="p1">Write down a second equation for \(x\) and \(y\).</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">Use your graphic display calculator to find the value of \(x\) and the value of \(y\).</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">An Olympic sized swimming pool is \(50\) m long and \(25\) m wide.</p>
<p class="p1">Determine the area of the hotel swimming pool as a percentage of the area of an Olympic sized swimming pool.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A cuboid has the following dimensions: length = 8.7 cm, width = 5.6 cm and height = 3.4 cm.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the <strong>exact</strong> value of the volume of the cuboid, in cm<sup>3</sup>.</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 your answer to part (a) correct to</span></p>
<p><span>(i) one decimal place;</span></p>
<p><span>(ii) 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>Write your answer to <strong>part (b)(ii)</strong> in the form \(a \times 10^k\), where \(1 \leqslant a < 10 , k \in \mathbb{Z}\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The coordinates of the vertices of a triangle ABC are A (4, 3), B (7, –3) and C (0.5, <em>p</em>).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the gradient of the line AB.</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>Given that the line AC is perpendicular to the line AB</span></p>
<p><span>write down the gradient of the line AC.</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>Given that the line AC is perpendicular to the line AB</span></p>
<p><span>find the value of <em>p</em>.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b, ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The coordinates of point A are \((6,{\text{ }} - 7)\) and the coordinates of point B are \(( - 6,{\text{ }}2)\). Point M is the midpoint of AB.</p>
</div>
<div class="specification">
<p>\({L_1}\) is the line through A and B.</p>
</div>
<div class="specification">
<p>The line \({L_2}\) is perpendicular to \({L_1}\) and passes through M.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the coordinates of M.</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 gradient of \({L_1}\).</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>Write down the gradient of \({L_2}\).</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down, in the form \(y = mx + c\), the equation of \({L_2}\).</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">A satellite travels around the Earth in a circular orbit \(500\) kilometres above the Earth’s surface. The radius of the Earth is taken as \(6400\) kilometres.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the radius of the satellite’s orbit.</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 distance travelled by the satellite in one orbit of the Earth. Give your answer correct to the nearest km.</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>Write down your answer to (b) in the form \(a \times {10^k}\) , where \(1 \leqslant a < 10{\text{, }}k \in \mathbb{Z}\) .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">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;">Chocolates in the shape of spheres are sold in boxes of 20.</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;">Each chocolate has a radius of 1 cm.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the volume of 1 chocolate.</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 the volume of 20 chocolates.</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 diagram shows the chocolate box from above. The 20 chocolates fit perfectly in the box with each chocolate touching the ones around it or the sides of the box.</span></p>
<p><span><br><img src="images/Schermafbeelding_2014-09-02_om_14.27.38.png" alt><br></span></p>
<p><span>Calculate the volume of the box.</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 diagram shows the chocolate box from above. The 20 chocolates fit perfectly in the box with each chocolate touching the ones around it or the sides of the box.</span></p>
<p><span><br><img src="images/Schermafbeelding_2014-09-02_om_14.27.38_1.png" alt><br></span></p>
<p><span>Calculate the volume of empty space in the box.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">In the diagram, triangle ABC is isosceles. AB = AC and angle ACB is 32°. The length of side AC is <em>x</em> cm.</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 size of angle CBA.</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>Write down the size of angle CAB.</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 area of triangle ABC is 360 cm<sup>2</sup>. Calculate the length of side AC. Express your answer in <strong>millimetres</strong>.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A triangular postage stamp, ABC, is shown in the diagram below, such that \({\text{AB}} = 5{\text{ cm}},{\rm{ B\hat AC}} = 34^\circ ,{\rm{ A\hat BC}} = 26^\circ \) and \({\rm{A\hat CB}} = 120^\circ \).</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_11.34.31.png" alt="M17/5/MATSD/SP1/ENG/TZ1/13"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the length of BC.</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 area of the postage stamp.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">The equation of the line \({L_1}\) is \(2x + y = 10\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>the gradient of \({L_1}\);</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>the \(y\)-intercept of \({L_1}\).</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"><span class="s1">The line \({L_2}\) is parallel to \({L_1}\) </span>and passes through the point \({\text{P}}(0,{\text{ }}3)\)<span class="s1">.</span></p>
<p class="p2">Write down the equation of \({L_2}\).</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"><span class="s1">The line \({L_2}\) is parallel to \({L_1}\) </span>and passes through the point \({\text{P}}(0,{\text{ }}3)\)<span class="s1">.</span></p>
<p class="p1">Find the \(x\)-coordinate of the point where \({L_2}\) crosses the \(x\)-axis.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">A right pyramid has apex \({\text{V}}\) and rectangular base \({\text{ABCD}}\), with \({\text{AB}} = 8{\text{ cm}}\), \({\text{BC}} = 6{\text{ cm}}\) and \({\text{VA}} = 13{\text{ cm}}\). The vertical height of the pyramid is \({\text{VM}}\)<span class="s1">.</span></p>
<p class="p1" style="text-align: center;"><span class="s1"><img src="images/Schermafbeelding_2015-12-20_om_06.32.41.png" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate \({\text{VM}}\).</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">Calculate the volume of the pyramid.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The straight line, <em>L</em>, has equation \(2y - 27x - 9 = 0\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the gradient of <em>L</em>.</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>Sarah wishes to draw the tangent to \(f (x) = x^4\) parallel to <em>L</em>.</span></p>
<p><span>Write down \(f ′(x)\).</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>Find the <em>x</em> coordinate of the point at which the tangent must be drawn.<br></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>Write down the value of \(f (x)\) at this point.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c, ii.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The length of one side of a rectangle is 2 cm longer than its width.</span></p>
<p><span>If the smaller side is <em>x</em> cm, find the perimeter of the rectangle in terms of <em>x</em>.</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>The length of one side of a rectangle is 2 cm longer than its width.</span></p>
<p><span>The perimeter of a square is equal to the perimeter of the rectangle in part (a).</span></p>
<p><span>Determine the length of each side of the square in terms of <em>x</em>.</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 length of one side of a rectangle is 2 cm longer than its width.</span></p>
<p><span>The perimeter of a square is equal to the perimeter of the rectangle in part (a).</span></p>
<p><span>The sum of the areas of the rectangle and the square is \(2x^2 + 4x +1\) (cm<sup>2</sup>).</span></p>
<p><span>(i) Given that this sum is 49 cm<sup>2</sup>, find <em>x</em>.</span></p>
<p><span>(ii) Find the area of the square.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Two fixed points, A and B, are 40 m apart on horizontal ground. Two straight ropes, AP and BP, are attached to the same point, P, on the base of a hot air balloon which is vertically above the line AB. The length of BP is 30 m and angle BAP is 48°.</p>
<p><img 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"></p>
</div>
<div class="specification">
<p>Angle APB is acute.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram, draw and label with an <em>x</em> the angle of depression of B from P.</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 size of angle APB.</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 size of the angle of depression of B from P.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The base of a prism is a <strong>regular hexagon</strong>. The centre of the hexagon is O and the length of OA is 15 cm.</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 size of angle AOB.</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 area of the triangle AOB.</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 height of the prism is 20 cm.</span></p>
<p><span>Find the volume of the prism.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A line joins the points A(2, 1) and B(4, 5).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the gradient of the line AB.</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>Let M be the midpoint of the line segment AB.</span></p>
<p><span>Write down the coordinates of M.</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>Let M be the midpoint of the line segment AB.</span></p>
<p><span>Find the equation of the line perpendicular to AB and passing through M.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</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>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A rectangle is 2680 cm long and 1970 cm wide.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the perimeter of the rectangle, giving your answer in the form \(a \times {10^k}\), where \(1 \leqslant a \leqslant 10\) and \(k \in \mathbb{Z}\).</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 area of the rectangle, giving your answer correct to the nearest thousand square centimetres.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A store sells bread and milk. On Tuesday, 8 loaves of bread and 5 litres of milk were sold for $21.40. On Thursday, 6 loaves of bread and 9 litres of milk were sold for $23.40. </span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">If \(b =\) the price of a loaf of bread and \(m =\) the price of one litre of milk, Tuesday’s sales can be written</span> <span style="font-size: medium; font-family: times new roman,times;">as \(8b + 5m = 21.40\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Using simplest terms, write an equation in <em>b</em> and <em>m</em> for Thursday’s sales.</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>Find <em>b</em> and <em>m</em>.</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>Draw a sketch, in the space provided, to show how the prices can be found graphically.</span></p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The straight line \(L\) passes through the points \({\text{A}}( - 1{\text{, 4}})\) and \({\text{B}}(5{\text{, }}8)\) .</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the gradient of \(L\) .</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>Find the equation of \(L\) .</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 line \(L\) also passes through the point \({\text{P}}(8{\text{, }}y)\) . Find the value of \(y\) .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The length of a square garden is (<em>x</em> + 1) m. In one of the corners a square of 1 m length is used only for grass. The rest of the garden is only for planting roses and is shaded in the diagram below.</span></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>
<p><span style="font-size: medium; font-family: times new roman,times;">The area of the shaded region is <em>A</em> .</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down an expression for <em>A</em> in terms of <em>x</em>.</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 <em>x</em> given that <em>A</em> = 109.25 m<sup>2</sup>.</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 owner of the garden puts a fence around the shaded region. Find the length of this fence.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">A rectangular cuboid has the following dimensions.</span></p>
<p style="text-align: center;"><span style="font-family: times new roman,times; font-size: medium;">Length 0.80 metres (AD)</span></p>
<p style="text-align: center;"><span style="font-family: times new roman,times; font-size: medium;">Width 0.50 metres (DG)</span></p>
<p style="text-align: center;"><span style="font-family: times new roman,times; font-size: medium;">Height 1.80 metres (DC)</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>Calculate the length of AG.</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>Calculate the length of AF.</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 size of the angle between AF and AG.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The diagram shows a triangle ABC in which AC = 17 cm. M is the midpoint of AC.</span><br><span style="font-family: times new roman,times; font-size: medium;">Triangle ABM is equilateral.</span></p>
<p style="text-align: center;"><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAk4AAADZCAIAAABZxyhwAAAXOUlEQVR4nO3d/2sj953H8fm1f4J+kkFQsIkhwQj2p7CBY3EdsJZCf2nA3K21ZMsRCMfJvWCfc1cijpzBJqtAoaDYaggtLYpNQulpsRALIpem1imFXtcS5EjQekVYhBECGbMMcz98RqPRF49teTTz+cw8Hz/tytJoZJl56fOaeduaAQBAoGl+7wAAANNF1AEAAo6oAwAEHFEHAAg4ok45z4trC9qoyMrW70u1ju737gGAdIg6NbWLa5HInewTM9n0Z0d7a7c1LbKy94S0A4BBRJ2ahqLOMAzjrJb9iaYtrBWf+7dbACAjok5NRB0AXBlRp6bhqDt/dvTrtdsRCkwAGEXUqaldXIuMXpnyTrFNzgHAMKJOTaOXpeS3ViKaFrmXfdL2d9cAQDZEnZrGnKsz9Fr2jqZpd7I1lnYAYEPUqWlc1JmtJjUmAAwi6tQ0dlX3NH8vwqoOAIYRdWoacwVmfmvlJU27807xKUkHAHZEnXIu+MVgWuT22q8Ojp6RcwAwhKgDAAQcUQcACDiiDgAQcEQdACDgiDq1HR4e+r0LACA7ok5hrVbrBz/4wWuvvVar1fzeFwCQF1GnsFQq9f777//whz9cWFjIZDLdbtfvPQIAGRF1qioUColEotvtplKp3/zmN5lMJh6PFwoFv/cLAKRD1Cmp1WrF43HRW7ZaLU3TWq1WrVZLJpPJZJI+EwDsiDolpVKpXC5n/TeTyWQyGfHvQqEQj8fpMwHAQtSpx6ourVu63a61yBP/pc8EAAtRpxh7dWmXz+dTqZT9FvpMABCIOsUMVZeWbrebSCSq1erQ7fSZAEDUqWS0urQrl8uJRGL0dvpMACFH1CnjourSLplMXpRnos9MJBL0mQDChqhTxkXVpV2tVovH4w5dpegz0+l0q9VyewcBQFJEnRqcq0u7VCqVz+cd7mD1mc53A4DAIOoUcJXq0n5nMVHufDf6TADhQdQp4CrVpV0ul7Mmyp3RZwIIA6JOdlevLi1DE+WX3pk+E0CwEXVSu1Z1aTc6Ue6MPhNAgBF1UrtudWmXSCTK5fK1HkKfCSCQiDp5TVBd2l00Ue6MPhMYR+/UHx/kt+/PvnXQfGEYhqF/d/DgVmzxYaWj+71vYXberPzx0+3k/Op+0/F+RJ2kJq4u7S4dPLgIfSYwoLl/PzoTi87Elnfruv2WH+1UOj7vW3i9aO6/FYvOxKJzd3ePnT9xEHWSukl1abl0otxZuVymzwQMwzCM85P9t+fth9QQrer0zvFvdz5rXPDV9vHuLz8XK10fdCrbP4pF39irnznfj6iT0Q2rS7t0On2TyOx2u7lcjj4Todc4WH0llGu4dn1/c+miLOkcH6wv91e6PmgcrL4Se3m7clnUEnXScaW6tG/tKhPlzhqNRiqVos9E2OjNrz5eX45F55Z+/vP7szOx2c1SWzcMQ29WPt/Pbiwu95NPb1Z+vb4UnZl/8OFHP3/Vts44b1b2d1ZvxaIzsejyxv6xLSrb9dLvdlaXN0rfd44/vj/76kbpee8hn2wszsVm3/oo+88DS8lOvbSf3Vj+Ran9olPf31icM2NGRE70xzuV03Gv47xZ+ePB7vrd9VLb2vjQelRvVj7LbizOxaIzscXNg3rbMPTO8cf3Z2diormN9k5S9nb+ePfBfLT3VetU2ZjtjBLxOROL3rq//dtPP9z/urdhvVn5fHfd/NIHXzR163bxRtz6WfaX/zJrq5HbpY3Zmfn1kv1pBjay+1fxDSfqpONKdWmXy+XS6fTNt0OfiVDRm4fvLs7FFt8rNdv13Tdi0d4htV3aEAHQSz5DPyltiqRptUub89GZ3jrjvFl6byk6E5t9sHfcHnzguXmeaXazdPLlzuJc74STeMjc0vZXHfP+1lJSrCxnYqv7Jyf7PxObenm7cv7dwQMRpa/c3x9TM76obC+YJ7T+ciL2Zyi6On/dW70Vm3374OTc3EkzS87EC18Yu2rSj/eW5wZWuhduZ/Bx9d279hdrxqRI1rml9f1656xZem+pt4e9N+JhpfN9af1V2/7o7dLmfNT6iGB9w5ffLZ3o4mRqbweIOrm4WF1arjVRfumm6DMRCuJUnHkYFZc/2FZXzf37VvKZp/HM/4pcMb9khkHvgeLgawWkiK7lDw+yb8SiMyIhdJFh4j4vKjsv2+8vNj53d/tXO+uf/K2SvRudmV//XfGD9/aOvymtv3rhKStzN9746PC37/77YfN0MITMV3rrZ/vf9XdSxIz5QHuW2LZa3707kPcXb2eQ+S1a/fi4oxtG6+vKd7phmC9crDX1473lufkH+yf60BshzsxZ+/N88FXrncpD81PCyLlVok4i7laXdtedKHdGn4mg083FmdnyDR9S26XNeWsJ1flqZ3GuVx6KUOx9aWDd09umlQ3t0sbs3N3/3Np4IA76hmGcVrZ/HDMP1r206F9Gb258afVhf6G5+GCndKKPhOLAixGZFH317uYfTnSxG1YG9PbKTL7B/4qV2fjNmvfs5b3jdoYf2luGLr5Xap4bhtH7Do9mqkgv640Q69pefA4tHMUbMbtZOj2p/Hp9KTq3tHloVaBEnURcry7tJpgod0afieASR95eHohDav/aB3vy6QONpXkQ75+oO9l/e16koJmIvRgzE+iVpeXNg5Nz82kHGsuRaz4H8sDcQ7E1EWZDp6x6rIh9++DkfCRUBl/pwH8d48rpgaP/HSGqzqFOeEymPrc3lubKbyBNRzI7OhOLzi2tZz+vNO3bIupkMY3q0m6yiXJn9JkIJrFIMvNArLRm5tcPG9XqN7ox9mxWbHW/aS1BXt7+83dfPv7mzBDXU2yv3xeXacwmd/atA7B4YK/uMwyjv/x666D5oheNP9r56m+PH/9fP3HHrLfEpsbXjONje6hE7Z1vM3dgYC17QVyZqWyFusN2Buj1R5+Lh4gXKD4iiPWr7UJKvfnXr5vnvWWxWCWbb8TC9hffPf7iG33oVZ8NnE81DMNoH3/2+BtWdVKZXnVpN/FEuTP6TARNP+pOmpVHe+t/F4vOzP/9Lz6tntqKu8OT+pcV+xUrnXpxOzkfnYnNvrGR/0vHTL7ljd38wf7j+tBBXxzEB9cxtrNfp/XDh/dnZ2LRW/+w/ruvO/rQImbcGcE39ip/eTy4lDHsX62fGdYlKqv5ev3LSnNwkSdWWtZlk/329aT+uDq0XXNXX96unNYfV5q6w3YGH9cubS6s/vLPzXOxAjZfgpnr4oJJvVN/bK7J+icLv+/UH4kLWc03ov8NPGtWHpXqpwOds96sfPbHSvPcemKiTgpTrS4tN5wodyb6zFQqRZ8J9Znl4dL6J5Xm95XtH9vmBHpRt/qwWG8b/esp1vdKxyelzfmouIZQH7lYf+DiezMqhn6dldl/Lm/sluonhxuz9ofYi0exgumtt6xHDUwyGANPZI1JmOst2540v3hozULslvqR3LvM5P72o+Gctl71bHLnsN5x3s6As28ef3F8LELLvmXdnJ2Izsyvbh/0A9t6I3ZLdXHpTe9l9k74WW9Eb+JCzDDs23POIOpkUCgUksnk9KpLuxtOlDsTfaamafl83puXA0hLb1YOtjff3f+yUvrsU7Hau/C8F6aOqPOZqC4bjYt+6Y77T3fziXJnVp9ZrVan9yyA3J6X1l8dCDb7qSl4jqjz2ZTOnzlwa6LcGX0mwk10jP1SUW8evrv4inX5JTxG1PlJVJceP6mLE+WXPhF9JsJLb1b2t/vn6hbX90p1cs4vRJ1vPK4u7byMWPpMAL4j6nzjfXVp5/pEuTP6TAA+Iur84Ut1aVetVqc6sT6KPhOAX4g6H/hYXdr5sqykzwTgPaLOB/5Wl5apTpQ7E7+ljD4TgDeIOq/l83l/q0u7TCaTyWR8eeput5vP5+kzAXiAqPNUo9HQNM336tLiwUT5pTtAnwlg2og6TyWTSRmqSzt3/5TdZMQ1MvSZAKaEqPOOVNWlxbOJ8kt3gz4TwJQQdR6Rrbq0833ywUKfCWAaiDqPSFhd2nk8Ue6MPhOAu4g6L8hZXdp5P1HujD4TgIuIuqmTubq0k2Taz44+E4AriLqpk7y6tPg4Ue7M6jPl/7gAQE5E3XTJX13a+ThR7szqM3O5nIRhDEByRN0UqVJdWnyfKHcm+sx4PC7PFTQAlEDUTZEq1aWdDBPlzugzAVwXUTctalWXFkkmyp3RZwK4FqJuKpSrLu3K5bISIU2fCeCKiLqpULG6tJNqotwZfSaASxF17lO0urSTdvBgLPpMAM6IOpcpXV3aSThR7ow+E8BFiDqXqV5dWhqNRjwel3bw4CL0mQBGEXVuCkB1aSftRLkz0WfG43H6TAACUeeawFSXllarFY/HFX1FrVYrnU7TZwIwiDoXBaa6tJN/otxZrVajzwRA1LkjYNWlRYmJ8kvRZwIhR9S5IHjVpV25XE4kEn7vxU3RZwJhRtS5IJDVpZ1CE+XO6DOBcCLqbiqo1aWdWhPll6LPBMKGqLuRYFeXdspNlDujzwRChai7kcBXlxZFJ8qd0WcCIUHUTS4M1aWdohPllxJ9ZiaToc8Egoqom1B4qkuL0hPlzqw+s1Ao+L0vANxH1E0oPNWlneoT5c5En5lMJlWfIwQwhKibRNiqS0swJsqd0WcCwUPUXVsIq0u7YEyUO6PPBAKGqLu2cFaXdslkMgzX6NNnAoFB1F1PaKtLu4BNlDujzwQCgKi7hpBXl3YBmyh3Rp8JqI6ouwaqS0ur1dI0LWAT5c7oMwF1EXVXRXU5JKgT5c7oMwEVEXVXQnU5KgyDB2O1Wq1MJkOfCSiEqLsSqsuxgj1R7qxWqyWTSfpMQAlE3eXCfEB31u12E4lEtVr1e0d8UygU6DMB+RF1lwjkb/R3URgmyp11u136TEByRN0lkskkhzBnfIsM+kxAbkSdE6rLqwjVRLkz+kxATkTdhagury5UE+XO6DMBCRF1F6KXu7oQTpQ7o88EpELUjUd1eV3hnCh3Rp8JSIKoG4PqcgKhnSh3ZvWZFLyAj4i6YWJWjOpyAiyFLyL6zEQiwUcBwBdE3bBcLsfxejJMlDsTfWY6naYwADxG1A0Q181zJJoYE+XO6DMBXxB1fVSXruDK1UvRZwIeI+r6qC5dwUT5FdFnAp4h6kxUly5Kp9O5XM7vvVAAfSbgDaLOMKgu3cZE+bXQZwLTRtQZBtXlFORyuXQ67fdeqIQ+E5geoo7qciqYKJ8AfSYwJWGPOqrL6WGifDKNRiOVStFnAi4Ke9RRXU5VIpEol8t+74WSyuUyfSbgllBHHdXltDFRfhPdbjeXy9FnAjcX3qijuvQGf8ruhugzgZsLb9RRXXqDiXJX0GcCNxHSqKO69BIT5a6gzwQmFsaoo7r0GBPlLqLPBCYQxqijuvQeE+Xuos8EriV0UUd16Qsmyl1HnwlcXbiijurSR0yUT4PVZ/IXcQEH4Yo6qkt/MVE+JaLPTKVS1BXAWCGKOqpL3zFRPj2iz9Q0LZ/PM9oBDAlL1FFdSoKJ8qmizwTGCkvUUV1KgolyD9BnAkNCEXVUl1LJZDJMlE8bfSZgF/yoo7qUDRPlnqHPBITgRx3VpYQYPPASfSYQ8KijupQTE+Ueo89EyAU56qguZVYoFJLJpN97ES70mQitIEcd1aXkmCj3RbVaTSQS9JkIlcBGHdWl/MQxlz7Ne91uN5/P02ciPIIZdVSXqmCi3EetVos+EyERzKijulQFE+W+o89EGAQw6qgu1ZLJZDKZjN97EWr0mQi8oEUd1aVymCiXBH0mAixoUUd1qSImyuVBn4lAClTUUV0qiolyqdBnIniCE3VUl0pjolw2Vp/J7CMCIDhRR3WpOo6qErL6zEaj4fe+AJMLSNRRXQYAE+VysvrMXC7HuwNFBSHqRHXJZWMBwES5tESfGY/HWXlDRUGIulwul06n/d4LuICJcsnRZ0JRykcdB8eAYaJccvSZUJHaUUd1GTytVovTrvKjz4Ra1I46qstAYqJcFfSZUIXCUUd1GVRMlCuEPhNKUDXqqC6DrVwuJxIJv/cCV0WfCcmpGnWZTIbqMtiYKFcOfSakpWTUVatVqsvAo6BWVD6fj8fj9JmQinpRJ07kUF2GARPlimq1Wul0mj4T8lAv6tLpNNVlSDQaDQYP1FWr1egzIQnFoo7qMmyYKFcdfSZkoFLUUV2GkJgoZ1mgNPpM+E6lqKO6DCcmyoOBPhM+UibqqC5Di4nyIKHPhC/UiDqqy5BjojxI6DPhPTWijuoSTJQHjNVnsl6HBxSIOqpLGEyUB5ToMzOZDO8spkr2qKO6hIWJ8kCy+sxCoeD3viCwZI86qktYmCgPMNFnJpNJ+kxMg9RRR3WJIUyUBxt9JqZE3qijusQoJsoDjz4T0yBv1FFdYiwmysOAPhPukjTqqC5xEf4qb3jQZ8ItMkYd1SWcMVEeHvSZcIWMUUd1iUslk0mOfeFBn4kbki7qqC5xFUyUh1ChUKDPxGTkijqqS1wdE+Uh1O12M5kMfSauS66oo7rE1bVaLU3TmCgPoVqtlkwm6TNxdRJFHdUlrouJ8jCjz8TVyRJ1VJeYAH/KLuToM3FFskQd1SUmw0Q56DNxKSmijuoSE2OiHAJ9Jhz4H3VUl7ghJsoh0GfiIv5HHdUlbo6JcljoMzHK56ijuoQrmCjHEKvPZBwFhr9RR3UJFzFRjiFWn8kPBvyMOqpLuIiJcowl+sxEIkGfGWa+RR3VJVzHRDkuIvrMdDrNh6Fw8ifqqC4xDUyUwwF9Zpj5E3VUl5gSJsrhjD4znHyIOqpLTBUT5bgUfWbYeB11VJeYNibKcRX0maHiddRRXcIDDB7giugzQ8LTqKO6hDeYKMe10GcGnndRR3UJL6XT6Vwu5/deQBndbjeXy9FnBpV3UZdOp5l5gmeYKMcEGo1GKpWizwwej6KuWq0mEgkKJXgpl8txYhgTKJfL9JkB40XUMdgLX/CDh4nRZwaMF1HHWRP4hYly3AR9ZmBMIer0b/P3Fu5kn+jiCQAgEAZOwejPjg4+2Vp5SdM0TYvcXvvVwdGzF7X/OqiduX9QxY25H3V6LXtH07Q72ZpuGIZRrVb5QAQf1Wo1rvvFDXW7Xfvf/tWflbdXXoqsbOWPnunmLUf5rZWI9pMsUScl16Pu9Gjrn/5j6x95ywEEk/5t/t5L2u3to44++IXTo62VteJzf/YKjtyOunZx7fVs7bS4FtEia8W2y1sHAH/p7eI7EW1hfKS1/ztfIupk5G7UndWyb64VnxvG8+LaghZ5p9jWL38QAKhCf5K9E9ForVTjatTpT7L3PhCLer2WvXPRBx/Afc+LawvmxQO988TDzIOUpmkR67Ip4HraxbWIxud45bgYdXq7+K+vW0cQ/Un2TiRyL/+Unwd4RX+avxfRNO31raPT0S+2i+9EHIIQuAqiTk0uRp3tY3Ufy3x4qF1cu/PTldvjPmPp3+bfXFn56UtEHW5EdANEnWpcizq9ln198DoU/Wn+XoSmCB5qF9de//DR70cvANY7Rx+sbB3k1xaIOtzMWS37E42zM6pxK+pOj7bWRhZwz4scWeCliy4A1r/Nv7mWf/qUH0i4QHSYY4YNDP3Z/5RqXHguI1ei7vxZ8d9uj1nRi48/kdvvPHrGwQUeEFGnix+8/sJOr+3d2/pTh89ecIfeebK3EtG022vZYq1j3tiuFT/J5v+34/hI+OXmUScOK6Nn5uy3cxYXnjCjTnzujtze+lPHMAzjeXHtzWztjJoBLtKfHR1k1273DnDiF4PxkyUtT/8KOTBdVtQZp0dbr4sPWLazyEQdEFJEHQKkH3XWVVGlR+aSziDqgNAi6hAgtqizpl9s16cQdUBIEXUIDv1p/l4/6sSv7LGPkxN1QEgRdQgG+28w6M086d8efPCHp7rR/1UpvYsIGPcEQoWoAwAEHFEHAAg4og4AEHBEHQAg4P4fu8XY/X5XZbcAAAAASUVORK5CYII=" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the size of angle MCB.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.1.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down </span><span>the length of BM in cm.</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>Write down the size of angle BMC.</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>Calculate the length of BC in cm.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Tom stands at the top, T , of a vertical cliff \(150{\text{ m}}\) high and sees a fishing boat, F , and a ship, S . B represents a point at the bottom of the cliff directly below T . The angle of depression of the ship is \({40^ \circ }\) and the angle of depression of the fishing boat is \({55^ \circ }\) .</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>Calculate, SB, the distance between the ship and the bottom of the cliff.</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>Calculate, SF, the distance between the ship and the fishing boat. Give your answer correct to the nearest metre.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Line \(L\) intersects the \(x\)-axis at point A and the \(y\)-axis at point B, as shown on the diagram.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_17.18.01.png" alt="M17/5/MATSD/SP1/ENG/TZ2/04"></p>
<p>The length of line segment OB is three times the length of line segment OA, where O is the origin.</p>
</div>
<div class="specification">
<p>Point \({\text{(2, 6)}}\) lies on \(L\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the gradient of \(L\).</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 equation of \(L\) in the form \(y = mx + c\).</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 \(x\)-coordinate of point A.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">In triangle ABC, BC = 8 m, angle ACB = 110 °, angle CAB = 40°, and angle ABC = 30 °.</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 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>Find the area of triangle ABC.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">Assume the Earth is a perfect sphere with radius <span class="s1">6371 km</span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the volume of the Earth in \({\text{k}}{{\text{m}}^3}\)<span class="s1">. Give your answer in the form \(a \times {10^k}\)</span>, where \(1 \leqslant a < 10\) <span class="s1">and \(k \in \mathbb{Z}\).</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 class="p1">The volume of the Moon is \(2.1958 \times {10^{10}}\;{\text{k}}{{\text{m}}^3}\)<span class="s1">.</span></p>
<p class="p2">Calculate how many times greater in volume the Earth is compared to the Moon.</p>
<p class="p2">Give your answer correct to the nearest <strong>integer</strong>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</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;">In triangle \({\text{ABC}}\), \({\text{AC}} = 20 {\text{ cm}}\), \({\text{BC}} = 12 {\text { cm}}\) and \({\rm{A\hat BC}} = 90^\circ\)<span style="font: 16.0px 'Times New Roman';">.</span></span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; text-align: center; margin: 0px;"><span style="font: normal normal normal 16px/normal 'Times New Roman'; font-family: 'times new roman', times; font-size: medium;"><br><img src="images/Schermafbeelding_2014-09-03_om_05.19.59.png" alt><span class="Apple-style-span" style="display: inline; float: none;"> <strong><em>diagram not to scale</em></strong></span></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the length of \({\text{AB}}\).</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>\({\text{D}}\) is the point on \({\text{AB}}\) such that \(\tan ({\rm{D\hat CB}}) = 0.6\).</span></p>
<p><span>Find the length of \({\text{DB}}\).</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>\({\text{D}}\)</span> is the point on \({\text{AB}}\) such that \(\tan ({\rm{D\hat CB}}) = 0.6\).</span></p>
<p><span>Find the area of triangle \({\text{ADC}}\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1"><span class="s1">AC </span>is a vertical communications tower with its base at <span class="s1">C</span>.</p>
<p class="p1">The tower has an observation deck, <span class="s1">D</span>, three quarters of the way to the top of the tower, <span class="s1">A</span>.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2017-03-06_om_10.32.25.png" alt="N16/5/MATSD/SP1/ENG/TZ0/11"></p>
<p class="p1">From a point <span class="s1">B</span>, on horizontal ground <span class="s1">250 m </span>from <span class="s1">C</span>, the angle of elevation of <span class="s1">D </span>is <span class="s1">48°</span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1"><span class="s1">Calculate </span><span class="s2">CD</span>, the height of the observation deck above the ground.</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">Calculate the angle of depression from <span class="s1">A </span><span class="s2">to </span><span class="s1">B</span><span class="s2">.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">Tuti has the following polygons to classify: rectangle (R), rhombus (H), isosceles triangle (I), regular pentagon (P), and scalene triangle (T).</p>
<p class="p1">In the Venn diagram below, set \(A\) consists of the polygons that have at least one pair of parallel sides, and set \(B\) consists of the polygons that have at least one pair of equal sides.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-03_om_08.19.15.png" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Complete the Venn diagram by placing the letter corresponding to each polygon in the appropriate region. For example, R has already been placed, and represents the rectangle.</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">State which polygons from Tuti’s list are elements of</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>\(A \cap B\);</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\((A \cup B)'\).</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">On a map three schools A, B and C are situated as shown in the diagram.</span></p>
<p style="margin-left: 30px;"><span style="font-size: medium; font-family: times new roman,times;">Schools A and B are 625 metres apart.</span></p>
<p style="margin-left: 30px;"><span style="font-size: medium; font-family: times new roman,times;">Angle ABC = 102° and BC = 986 metres.</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 distance between A and C.</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 angle BAC.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">An observatory is built in the shape of a cylinder with a hemispherical roof on the top as shown in the diagram. The height of the cylinder is 12 m and its radius is 15 m.</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 observatory.</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>The hemispherical roof is to be painted. </span></p>
<p><span>Calculate the area that is to be painted.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the gradient of the line \(y = 3x + 4\).</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 gradient of the line which is perpendicular to the line \(y = 3x + 4\).</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>Find the equation of the line which is perpendicular to \(y = 3x + 4\) and which passes through the point \((6{\text{, }}7)\).</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 coordinates of the point of intersection of these two lines.</span></p>
<div class="marks">[2]</div>
<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 room is in the shape of a cuboid. Its floor measures \(7.2\) m by \(9.6\) m and its height is \(3.5\) m.</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>Calculate the length of AC.</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>Calculate the length of AG.</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 angle that AG makes with the floor.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">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;">Let \(f(x) = {x^4}\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down \(f'(x)\).</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>Point \({\text{P}}(2,6)\) lies on the graph of \(f\).</span></p>
<p><span>Find the gradient of the tangent to the graph of \(y = f(x)\) at \({\text{P}}\).</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>Point \({\text{P}}(2,16)\) lies on the graph of \(f\).</span></p>
<p><span>Find the equation of the normal to the graph at \({\text{P}}\). Give your answer in the form \(ax + by + d = 0\), where \(a\), \(b\) and \(d\) are integers.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Emily’s kite ABCD is hanging in a tree. The plane ABCDE is vertical.</p>
<p>Emily stands at point E at some distance from the tree, such that EAD is a straight line and angle BED = 7°. Emily knows BD = 1.2 metres and angle BDA = 53°, as shown in the diagram</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-02-12_om_18.18.28.png" alt="N17/5/MATSD/SP1/ENG/TZ0/10"></p>
</div>
<div class="specification">
<p>T is a point at the base of the tree. ET is a horizontal line. The angle of elevation of A from E is 41°.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the length of EB.</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 angle of elevation of B from E.</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 vertical height of B above the ground.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">A cuboid has a rectangular base of width \(x\)<span class="s1"><em> </em>cm </span>and length <span class="s1">2\(x\) cm </span>. The height of the cuboid is \(h\) <span class="s1">cm </span>. The total length of the edges of the cuboid is \(72\)<span class="s1"> cm</span>.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-20_om_08.27.58.png" alt></p>
<p class="p1">The volume, \(V\), of the cuboid can be expressed as \(V = a{x^2} - 6{x^3}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find the value of \(a\).</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">Find the value of \(x\) that makes the volume a maximum.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The diagram shows triangle ABC in which angle BAC \( = 30^\circ \), BC \( = 6.7\) cm and AC \( = 13.4\) cm.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></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 size of angle ACB.</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>Nadia makes an accurate drawing of triangle ABC. She measures angle BAC and finds it to be 29°.</span></p>
<p><span>Calculate the percentage error in Nadia’s measurement of angle BAC.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Consider \(f:x \mapsto {x^2} - 4\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find \(f ′(x)\).</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>Let <em>L</em> be the line with equation <em>y</em> = 3<em>x</em> + 2.</span></p>
<p><span>Write down the gradient of a line parallel to <em>L</em>.</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>Let <em>L</em> be the line with equation <em>y</em> = 3<em>x</em> + 2.</span></p>
<p><span>Let P be a point on the curve of <em>f</em>. At P, the tangent to the curve is parallel to <em>L</em>. Find the coordinates of P.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">The number of apartments in a housing development has been increasing by a constant amount every year.</p>
<p class="p1">At the end of the first year the number of apartments was 150, and at the end of the sixth year the number of apartments was 600.</p>
<p class="p1">The number of apartments, \(y\), can be determined by the equation \(y = mt + n\), where \(t\)<em> </em>is the time, in years.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find the value of \(m\).</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">State what \(m\) represents <strong>in this context</strong>.</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">Find the value of \(n\).</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">State what \(n\) represents <strong>in this context</strong>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">In the following diagram, <span class="s1">ABCD </span>is the square base of a right pyramid with vertex <span class="s1">V</span>. The centre of the base is <span class="s1">O</span>. The diagonal of the base, <span class="s1">AC</span>, is <span class="s1">8 cm </span>long. The sloping edges are 10 cm <span class="s2">long.</span></p>
<p class="p1" style="text-align: center;"><span class="s2"><img src="images/Schermafbeelding_2015-12-20_om_17.33.52.png" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down the length of \({\text{AO}}\).</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 size of the angle that the sloping edge \({\text{VA}}\)<span class="s1"> </span>makes with the base of the pyramid.</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">Hence, or otherwise, find the area of the triangle \({\text{CAV}}\).</p>
<div class="marks">[3]</div>
<div class="question_part_label">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;">The surface of a red carpet is shown below. The dimensions of the carpet are in metres.</span></p>
<div style="text-align: center;"><img src="images/Schermafbeelding_2014-09-02_om_14.31.51.png" alt></div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down an expression for the area, \(A\), in \({{\text{m}}^2}\), of the carpet.</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>The area of the carpet is \({\text{10 }}{{\text{m}}^2}\).</span></p>
<p><span>Calculate the value of \(x\).</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>The area of the carpet is \({\text{10 }}{{\text{m}}^2}\).</span></p>
<p><span>Hence, write down the value of the length and of the width of the carpet, in metres.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">\(75\) metal spherical cannon balls, each of diameter \(10{\text{ cm}}\), were excavated from a Napoleonic War battlefield.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the total volume of all \(75\) metal cannon balls excavated.</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 cannon balls are to be melted down to form a sculpture in the shape of a cone. The base radius of the cone is \(20{\text{ cm}}\).</span></p>
<p><span>Calculate the height of the cone, assuming that no metal is wasted.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">A balloon in the shape of a sphere is filled with helium until the radius is <span class="s1">6 cm</span>.</p>
</div>
<div class="specification">
<p class="p1">The volume of the balloon is increased by <span class="s1">40%</span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the volume of the balloon.</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">Calculate the radius of the balloon following this increase.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</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;">Günter is at Berlin Tegel Airport watching the planes take off. He observes a plane that is at an angle of elevation of \(20^\circ\) from where he is standing at point \({\text{G}}\). The plane is at a height of 350 metres. This information is shown in the following diagram.</span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; text-align: center; margin: 0px;"><br><img src="images/Schermafbeelding_2014-09-02_om_14.52.24.png" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the horizontal distance, \({\text{GH}}\), of the plane from Günter. <strong>Give your answer to the nearest metre.</strong></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 plane took off from a point \({\text{T}}\), which is \(250\) metres from where Günter is standing, as shown in the following diagram.</span></p>
<div>
<br><img src="images/Schermafbeelding_2014-09-02_om_14.54.36.png" alt>
</div>
<div>
<p><span>Using your answer from part (a), calculate the angle \({\text{ATH}}\), the takeoff angle of the plane.</span></p>
</div>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">A child’s toy consists of a hemisphere with a right circular cone on top. The height of the cone is \(12{\text{ cm}}\) and the radius of its base is \(5{\text{ cm}}\) . The toy is painted red.</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>Calculate the length, \(l\), of the slant height of the cone.</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>Calculate the area that is painted red.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The diagram below shows the line PQ, whose equation is <em>x</em> + 2<em>y</em> = 12. The line intercepts the axes at P and Q respectively.</span></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 coordinates of P and of Q.</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>A second line with equation <em>x</em> − <em>y</em> = 3 intersects the line PQ at the point A. Find the coordinates of A.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The mid-point, M, of the line joining A(<em>s</em> , 8) to B(−2, <em>t</em>) has coordinates M(2, 3).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the values of <em>s</em> and <em>t</em>.</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>Find the equation of the straight line perpendicular to AB, passing through the point M.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The diagram shows points A(2, 8), B(14, 4) and C(4, 2). M is the midpoint of AC.</span></p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAuIAAAFrCAIAAAAb1nvlAAAgAElEQVR4nO3df2wb14Hg8f1nMH8crD8iYO+uuYsUyDAqA0KbtTlIEMQwgmvPcQGJDprtbyGJadQNEMQNKrq3UuxeamZ3o1beRERt4OofdNM9X9GptNEVMdtoWXsJ2+eIYHIrFxrtWXcOK+tsHeMIjMc/JHLuj0dS5IiSKInkPHK+H+iP2DKpRxkxv3oz770/swAAAKT0Z04PAAAAoDQyBQAASIpMAQAAkiJTAACApMgUAAAgKTIFAABIqtxMyXz26afzmewv5uduf7ZQrREBAABYllVGpsxdPXu4e+cWRd155NJty7Is6+bowSeU9v98YS5d9dEBAAAXK2s2JXNzZH9z81PHxhcsy7Lmb11862vtr4zcYkIFAABUUXkXfRbGjz3V/O8PXfjMsizLynzyhx+9OjydWeVBAAAAG1HmvSkf692blW79hmVZVmr8+I+Oj6eqOSoAAIByM2V29OB2xXtmKpO5O37y+8c/ulvdUQEAAJSbKamx/p3K5v4Pkv9jsPfX1x5wvQcAAFRdmZlyb+rMt5WHv/6K/29Hpu9Vd0QAAACWZZWdKfM39P1Kk/cnHySZSAEAALVRZqbcv3721Zf0qfnqDgYAAGBROZmykBr/+zdOfZhiIgUAANTQCpmSuWsMHT4cGv39sYNv/P7G/CqREo/HDcOo7OAAAICbrZAp966d+c6mpqe+eyy6aqMkk0lFVbu8XtM0Kzs+AADgWpU5IbnH71dU1aNpuq5X5AkBAAAqkCmGYSiqqqiqruuKqiaTyY0/JwAAQAUypcvrDQQCiqrm/3vjzwkAALDRTAmHw2IGRWSKmFnhXloAgDNSk5Ghs0f3/od9QwnLsizr/vTQgY6WZ4/Gbjs8MHdLz8RG9IF97S8Pz6xtb5MNZYppmvn7UUSmWJbV4/f7fL6NPC0AAOuSGN77WFtLa1vLt05P3i38nW0DMbb+cszM0L6W1raW1rbOU5PptT10Q5kSCoU8miZW9+QzRcyshMPhjTwzAADrkJ4e+l574duhq2ZT5iZOHRtZbroiNX564L2Z2g4obz42sK1lq/fUxBorZQOZkkgkFFWNRqPil/lMsYrzBQCAWpmfGXrZpXMnqYnh3s5lpivSqcmhvl2PraMSKkT8vTxzNJZa6yPXnym2izuFmSIuBoVCoXU/OQAA5UrPxM707m5pbdt1oG/v420tO/ois9nff1c/3dtZUC33Z2K/7Nu1ta395ZMnftBR+PN9eiY2NLCvvbWtpbVt16Hhybn8s6cmz/9mwLetNzKXGj+99/GO3shc9hFXftHb2dby+PdOHPth0RTO3GRk6HTv832R2Ww9ZC9CzU0OHdrdsnX3wJWSb9fpmdjI0Im+ztcjc+nck9vmge7PxH57urezraW1raWzb2giZVmWNTdxan+HuKrS0tq2d6hoyiQ1fnrv49lPtTyWv2Wn1PPYh5OaHOrbtbWtpbVj78Bv9FPD8fyfKnh4u+/tKzOL38MzvbtbWjv2B08e3FFw6W020rujrf1QZK4gk9IzsXdP5J7/FxOp0gW1zkwxTbPL6y28VbYwUyzLikajLE4GAFRdejpyqLOtpfNwZHp+8pS3pTX3djgb6d3R1tK6WC3W/ZnIkWwlzEX62lsXf77PPol4v5yfixwS7/odvZG57H0VO/oik7GBZ/M3WKRn3j+8a2vbrrdjqZviC+ViKDuj09by8vD0teH9IhGeORpLTg8d6ChZEsJ87OgXszdwTEy/f3jX1uKwsHI58vj3hq6ns68u1wHpidOdW5ebrkiLb8sX87G2/PMUPWzidOfWghd7IHf3q3h4Z9/QREp838TLyX4Pnz0aS2a/gfmvOBfpa2/N551liSd8bPeh92fS4uahUgOwLKtS27tZSzLFsqxwOMx1HwBANYlbT3JvgSIpFmc1EsN7H8v/EJ+9bUX8UjRB/lPijTz7ZpntjNzbqvjlt04OBb0trW3i3T19fXh/ftomFRt4piCGcsHR+TenB46c/uPl051b29p7h98/1nfqo+nIoY5lb9G4O3nqW20tW70nfvubQwORmenigMi90v1D0+ncS8tFTLqoz0o+bf7lrPQ8RbLfov2nJ+YsKz0Xj19L5x+enRBKT57yZnOn6C9iPjawbfErpudsrzp15Wi28NJL7iWyq2KmAABQXdlJEXFlZMnbofhsduridmzg2bb8BRcRNLlZjeL5huw0TO5ddjbSu6Ot8/WjvQdPT2Sv9qRib+9uaRVvtLl3+oKltjND+1paO3btP7o4wfPMvoHITHpJ0BTKzohs/XLn6yPT97ODz79/Z19prlqKfileeNF0RQHxcnJfdKXnsbmfm/7pPByZLvqWLu0hUR7ZvwgRdvn0sU3YiL+IHX2R6ewFuF1HIjP3l/sbJlMAAHUq+/acey8Xb4f5Cx/F1VJ0lSc7JVBwY8r14f2Pt+16O5aazyZI/qaQ9MTpzq0du77eN3Q99848W3iVZ8l8QGE05EYogkaESOk5j/wIxeSErTxsr7TkC19mkqZU0CzzPCUenL3rJTvm5XooXXSVJzvVVFxC9t4S9wD1nn43NrPMPIpApgAA6pSYnMgGQTYv2g9FEuOxa3dtP8TnLuu8PDwzn/vR/5mjV/54/vxU2rIs6/5M7OzRXt9ucUvK3oHh3LuneGDuEon4LTHtIWYLxNxA67aBi9fPX7y2GA3i6xbNZGSfqvScR8nyyM+7FK9gyg4gF1IrzYjYnnbF5yl63OTIu6IrxAsUebd0IdX9mfj4TDp7Xalt79BM/i/iiwMfXL98/tpd26tecn0qnZp4P3Kt9I0pFpkCAKhbi5ny6Ux89NTBbS2tbe3f6tM/SlkFlyemJ87HZgrurr09+f7b+9pb21oef6H3Vx+m0tl34l29p4eGhiOTxfegijfg4ss02Xf3HX2Rm6nJ3x3d+3hbS2vH86//Jl4QDSILiu6Ayd16curyxPn4kimE/Gcn0lb+dtqXhyf/eD42Uzy5UnAHqxhO/orV7cnz9rmJbEBsG7jy6eTl2MzdFZ6nyFyk74tiCc/96aEDHbnZlFwLihtW5iYjv4vN3C+6/SU1OTrg61j8i1j8BqZnYiORyVTRdbr7M7H3RlacTyFTAAD1KnvBZVfvL2LTc7G3d7ds3d07NCmWtmYzxXf0/cmUlb8S0dl3KjI5/X5fe+Gq4+IFvYVPki0S2xbvudtIe09FJq9FencUrOktuiySDYjsTEb+UbknL3ol+fSZLfhlQUOkZz54y9eRHd6pyOJ66fytwblXWiR3Z+vet0fFQ5Z/nqLhXLt4fmJcBMfiYy0rt6a6ta3l8X0DQ7HcPSX5v4jTkQlxm3DuZeZucFkcXv4ZimatlkOmAADc7P5MbOho798Mx65Ehs4ezW4xsp79UlENZAoAwMXmIn3thVGSva7hxn1spUSmAABcTFxeWbwAJLaAc8kZQHWATAEAuFp6JjYs7vpc7Y4N1B6ZAgAAJEWmAAAASZEpAABAUmQKAACQFJkCAAAkRaYAAABJkSkAAEBSZAoAAJAUmQIAACRFpgAAAEmRKQAAQFJkCgAAkBSZAgAAJEWmAAAASZEpAABAUmQKAACQFJkCAAAkRaYAAABJkSkAAEBSZAoAAJAUmQIAACRFpgAAAEmRKQAAQFJkCgAAkBSZAgAAJEWmAAAASZEpAABAUmQKAACQFJkCAAAkRaYAAABJkSkAAEBSZAoAAJAUmQIAACRFpgAAAEmRKQAAQFJkSjluf/S7sVsZp0cBAIDLkCmry0zrLzQ/e+zqZ04PBAAAdyFTVnXHOPHNTWpTx5GLd5weCgAArkKmrObOlf4nt7Q92qQ87D+XXHB6NAAAuAiZsrKF5Ohrjx34VeRnzyrq5m+cneIGFQAAaoZMWVHmuv7ic/1jn2aun/1Gk6p86fjVB4QKAAA1QqasIPPg6vEve08aDzJW5k8j3+tQ1J1HLt12elQAALgFmbKC25eOeF/Qr2csy7Iydy690aGqnztwLsl8CgAANUGmLCtzc2R/85adz32nW3huZ5uqKk17z16/7/TQAABwBTJlOfeunXnxy8f++cHi79y/fnbvJvXhLxX9ptXj93d5vYPBYDQaTSaTNR8nAAANi0xZxp0r/U/us02cZG6O7G9WlY43Lt1ZvPAjMiUQCHg0TVFVkgUAgEohU0p6cGPk+59/Xr9hvw1ldvTgdkVtz92wYlmWFY/HFVUVUZJIJHRd7/H7FVUtTBbTNGs7fgAAGgGZskTm5tg7h5/b0qRs39v/zvmpu/kg+Wxq9PgrOx9RVFXZ7PUfH81/SuSI7WkMwyhMFp/PFwqF4vE4yQIAQJnIlAoIh8MeTVuhP0gWAADWgUypANM0PZoWDofL+cOGYYRCIZ/PR7IAALAyMqUyQqFQl9e7poeYphmPxwuTpcfv13XdMIwqDRIAgPpCplRGMplUVDUaja7v4SQLAABLkSkVEwgEevz+jT8PyQIAgECmVIxhGIqqJhKJCj5nMpmMRqODwWCX1yuSJRAIhMPhyn4VAADkRKZUks/nW7oyuVJsyeLRNJIFANDYyJRKikaj+a3eqopkAQC4AZlSYR5N03W9ll8xmUyGw+H8bv35ZGG3fgBAvSNTKkzXdY+mOfXVE4lEYbJwwBAAoK6RKRW2wZXJFUSyAADqHZlSeYPBoM/nc3oURUSyLD0TkWQBAMiMTKm8RCKhqKq025xwwBAAoF6QKVXR4/cHAgGnR7E6kgUAIDMypSpqtjK5gkgWAIBsyJRq6fJ6Q6GQ06NYj6W79YtkkfYyFgCgUZEp1RIOhz2aVu9TERwwBABwEJlSLaZpejQtHA47PZCKIVkAADVGplSR2Mze6VFUhWmatjMRRbKwWz8AoILIlCoSW73F43GnB1JdHDAEAKgSMqW6AoFAj9/v9Chqh2QBAFQQmVJdhmHU3crkSskni+1MRJIFAFAmMqXqxM70To/CYRwwBABYBzKl6sRWb/W+MrmCSBYAQJnIlKoTK5N1XXd6IDIiWQAAKyBTakHX9UZdmVxBtt36RbKwWz8AuBmZUgtiZXI0GnV6IHWDA4YAABaZUjODwaDP53N6FHWJZAEA1yJTakSsTGZf+Q0qeSZiw2+gBwCuRabUTo/fz8rkSuGAIQBwAzKldsTKZNawVBzJAgCNikypqS6vNxQKOT2KRpZPFtuZiCQLANQjMqWmdF33aBr3ftaG7YAhRVXZrR8A6guZUlNiqzdWJtceZyICQD0iU2pNvFM6PQpXI1kAoF6QKbUmtnrjVglJ2HbrF8nCbv0AIAkyxQE9fn+P3+/0KGDHAUMAIBsyxQHxeJyVyZIjWQBABmSKM8TbntOjQFlEstjORIxGo6zYAoBqI1OcEY1GWZlcjzhgCABqiUxxhliZrOu60wPB+pEsAFBtZIpjxE6pTo8ClSGSZemZiCQLAGwEmeIYsTKZrd4azNIDhnw+H7v1A8D6kClOGgwGWZncwDgTEQA2iExxkmEYbPXmEiQLAKwDmeIwn8/HymS3WXomYo/fz279ALAUmeKwaDTKVm9uxgFDALACMsV5rEyGQLIAgA2Z4jxd1z2a5vQoIBeRLLYzEUkWAG5DpjjPNE1WJmMFHDAEwLXIFCmIeX6nR4E6QLIAcBUyRQqJRIKVyVirfLLYzkQkWQA0DDJFFj1+fyAQcHoUqFe2A4a6vF526wfQAMgUWcTjcVYmoyI4ExFAwyBTJCIm7Z0eBRoKyQKgrpEpEgmHwx5N4/0DVbL0TMRQKMQdUQBkRqZIxDRNj6aFw2GnB4IGxwFDAOoFmSKXUCjEymTUEskCQGZkilySyaSiqvF43OmBwI1EstjORCRZADiITJFOIBDo8fudHgXcjgOGAMiATJGOYRiKqvJmAHmQLACcQqbIiJXJkFY+WTgTEUANkCkyikajiqqyMhmSsx0w5NE0dusHUFlkiqQ8mqbrutOjAMrFmYgAqoFMkZSu6x5Nc3oUwHqQLAAqhUyRlFiZHI1GnR4IsCGJRMJ2JqJIFq5pAigHmSKvwWDQ5/M5PQqgYjhgCMBakSnySiQSiqqysxYaEskCoBxkitR6/P5AIOD0KIDqMgxj6ZmIJAsAi0yRnFiZzI2HcAkOGAJgQ6bIrsvrDYVCTo8CqDWSBYBFpsgvHA57NI3Zb7gZyQK4FpkiO9M0PZrGymRAsB0wJJKF3fqBRkWm1AHxL7LTowCkw5mIQMMjU+qA2OotHo87PRBAXiQL0JDIlPrQ4/f3+P1OjwKoD8lk0nYmokgWFs0BdYdMqQ+GYbAyGVgHDhgC6hqZUjfEP69OjwKoYyQLUHfIlLohtnpjZTJQEflksZ2JSLIAUiFT6oZYmazrutMDARoNBwwB0iJT6omu66xMBqqKZAGkQqbUE7Eyma3egNogWQDHkSl1ZjAY9Pl8To8CcJelu/WLZGG3fqDayJQ6I1Ym848j4BQOGAJqiUypPz1+PyuTARmQLEC1kSn1R6xMZtkkIBXTNJeeiajrOrv1AxtBptSlLq+XlcmAtDhgCKgUMqUu6bru0TSWGwDyI1mAjSBT6pJpmqxMBupOPllsZyKSLMByyBTH3Zs14mPCRx+nMiX/zELq4/HsnxmbnJ3PWJYlfjir7VABVIztgCGPprFbP7AUmeK4e7NG9B8CX39IVZWmb54w7pT4I3eu9D/RrKjNngOh87lMEVu9saAAaACciQgsh0yRww29W1UVtfmJ/itLOmUhOfra51VVUXf2j6UKP/H9V1997i//Utd1rv4ADYNkAQqRKXK4oXc3f2HbF5qV5pf06QdFn3pw9YRX27b9EVummKa5Z88ese5RUVV2UgEaj223fpEs7NYPVyFT5HBD7978Vz8/9s1N6sNfOvbPBZ2SuTP206dePPHrv91py5RwOJxvFPHBXXhAA+OAIbgTmSKHG3r35v4Pbp478LCqtL82mlzI/n7muv7iV1678L/H+u2Zouu6LVO4TwVwCZIF7kGmyOGG3r25f2z+07H+XYq6+RtnpzKWZVmZB8bJPXtOGg9SSzNF7EXLbArgcoZhLD0TMR6POz0uoDLIFDlkM8XKTOsvNKvKEz8du5OxMjdHf7j7Bf16xiqRKZZl5X+W4t4UABwwhIZEpsghlylW5uboD59U1I79I39KT+svPPXTsTsZa5lMsSzLMIwrV66w1RuAQiQLGgaZIod8pliZB8bJriZ1k/evf/66d8+ZybRlrZApQiAQ6PH7azleAPUinyy2MxFJFtQFMkUOi5kibpttV9TCe2lXyRTDMLg3BcCqbAcMKarKbv2QHJkih8JMsTJ3xn76RNFWb8kLh55Q1KeOXPp0uSfw+XzcngKgfJyJiLpApjjus6kLw6FDex5Sn/zuW3//2w9vZSzLenD1xLMH9OkHlpW5OxXVz/z4a1uaFLVpS/eb/3UoOnW3xME/YuEP+1QCWAeSBdIiUxqHR9N0XXd6FADq29IzEQOBALv1wylkSuPQdd2jaU6PAkDj4IAhOI5MaRymabIyGUCVkCxwBJnSUMSlZadHAaDBiWSxnYlIsqAayJSGkkgkONwHQC1xwBCqikxpND1+fyAQcHoUANyIZEHFkSmNJh6PszIZgONEsiw9E5FkwZqQKQ2oy+sNhUJOjwIALKvUAUM+n4/d+lEmMqUBhcNhj6bxIwsA2XAmItaKTGlApml6NC0cDjs9EABYFsmCcpApjYmVyQDqiGmatjMRe/x+duuHRaY0qmQyqahqPB53eiAAsDYcMIRCZErDCgQCPX6/06MAgPUjWUCmNCzDMBRV5X9mAI1BJIvtTESSpeGRKY1M7GDt9CgAoMI4YMg9yJRGFo1GFVVlZTKABlbpZLk3a8TH7CZn5zMVHjfKQ6Y0OI+m6bru9CgAoBbyybKBMxHvzRqX33vrxS2qqjQ9/d0fv9nf/+aRg907Nze3feWHJy9Nz1dx+CiBTGlwuq57NM3pUQBArdkOGBLbc5e7W/8NvVtVlc39Y9kqyczfiv6k81Glac9bH85Vd9woRqY0OLEyORqNOj0QAHDMms9EtGeKZVnzN0deeUhVP3dwlE6pJTKl8Q0Ggz6fz+lRAIAUykqWEpmykDz3g4dU9aFXznGbbi2RKY0vkUgoqsr+0wBgI3brF70ikiX7iSWZkkl9ePzrWxT16UMXbnEzbS2RKa7Q4/ezMhkAEomEmE0ZDAZ7/H6xOEjswlL076TIlKbtX/lOd3d3d3f3V3dublKadr82MpkiUmqLTHEFsTKZHQUAuIdpmoZhRKNRcYknf8ChmDURxxxGo1HDMErcoSIy5ZEfjPzfe9b8rDF2fuTYgZ1NqrLl2z85/ycW+9QSmeIW4i53p0cBAFWx6jSJOHu53C1rS96bMvra51VV2XLw3C1CpXbIFLcQK5PZ6g1AvRPTJOFwuOQ0SSAQWGmapEwlMsWy7l068qiqqDv7x1KVeB0oC5niFqZpejSNlckA6ksikYjH4/lpknyRiGmSUCgkpkkqfFG7VKZkkucOPKwq6nMnjLuV/FpYEZniIuKUUadHAQCl2aZJxKnIJadJqj6UEit9JkcO7d6kPvJ0IPoJd9HWEJniImKrt3g87vRAAMAyDENMkwQCgcJpki6vV0yThMPhyk+TrO6zqQvDoUN7HlJVRW1q2/nV7u7u7ud2tqnqpu3feO3kxRsc7lNbZIq79Pj9PX6/06MA4C7JZFJMk4RCIds0SY/fL6ZJ4vE42zthKTLFXQzDYGUygKqSdZoEdYlMcR1xZKjTowDQCMQ0ia7rJadJxDJgpkmwEWSK60SjUVYmA1iH/G5pgUCgcBmwmCbRdV1Mk/DPCyqITHEdsTJZ13WnBwJAXrZpkvxuabZpknJ3SwPWi0xxo1AoxMpkAMKGNpUHqoxMcSOxMpmt3gAXqvCm8kCVkSkuJf6FcnoUAKqIaRI0ADLFpcTKZG6/BxqGM5vKA1VGpriXz+djZTJQjyTaVB6oMjLFvaLRKFu9AfJjmgRuRqa4WpfXy8pkQB5sKg/YkCmupus6W70BTmFTeWBVZIqrmabJymSgBpgmAdaHTHG7wWCQrd6AymJTeaBSyBS3E1u98TMcsD5sKg9UFZkCS8w5Oz0KoA4wTQLUGJkCKx6PszIZsGFTeUAGZAosy7K6vF62eoNrsak8IC0yBZZlWeFwmJXJcAmmSYA6QqbAsizLNE2PpoXDYacHAlQSm8oD9Y5MQVYoFGJlMuoam8oDjYdMQZZYmcxWb6gL+d3Slk6T5HdLY5oEaABkChaJHbudHgVgx6bygGuRKVhkGIaiqtw5CAexqTyAQmQKivh8PlYmo2aYJgGwMjIFRaLRKFu9oRrYVB7AOpApsPNomq7rTo8C9Y1N5QFUBJkCO13XPZrm9ChQN/K7pdmmSQp3S2OaBMD6kCmwM02TlckoiU3lAdQYmYISBoNBn8/n9CjgMDaVB+A4MgUlJBIJRVVZ8+ketk3lmSYBIAkyBaWJPSqcHgWqgk3lAdQLMgWlsTK5MXD2HoC6RqZgWV1ebygUcnoUWIP8bmm2aZL8bmlMkwCoL2QKlhUOhz2axr0IcmJTeQBuQKZgWaZpejQtHA47PRCwqTwAlyJTsJLBYLDL63V6FO5i21TeNk2S3y2NaRIAbkCmYCXJZFJR1Xg87vRAGhabygPACsgUrEJcZXB6FI2As/cAYK3IFKzCMAxWJq9V4abytmmS/G5pTJMAwKrIFKyuy+sdDAadHoW82FQeAKqETMHqxFZv/NxvcfYeANQWmYLViZXJuq47PZBas20qb5smye+WxjQJAFQJmYKy6Lre2CuT2VQeACREpqAsYmVyNBp1eiCVwdl7AFAXyBSUazAY9Pl8To9izcrZVJ5pEgCQE5mCcomVyZK/nbOpPAA0EjIFayCW1zo9iizO3gOAhkemYA3EymRHpiIKd0tbOk2S3y2NaRIAaCRkCtamy+sNhUJV/RJsKg8AEMgUrI2u6x5Nq+DeZZy9BwBYDpmCtRFbva1vZTKbygMA1oRMwZoNBoOrbvXGpvIAgI0jU7BmYqu3whU0TJMAAKqBTMF6iAmSpdMkhbulMU0CANggMgXrYRgGm8oDAKqNTAEAAJIiUwAAgKTIFKxBJvV/Lp8b/vU7Z97R//s/Xr01by18Mhb9KJV2elwAgMZEpqA889MXj73kaX7y+TfPvHfh8qXRfzjzpu/pp71f2f7VY1fvOD04AEBjIlNQhvnE6OHdm5q/c3z808zi7y6kxv/L15p39o+lnBsZAKCRkSlY1d3rZ/c/pD7adeLqA/un7hgnDgQuferEqAAAjY9MwWruXOl/ollRv31m6t7ST2Zu/OMv/+lW7QcFAHADMgWrWLh67ClVVTb3j807PRQAgMuQKVjZwq2RlzepqvLUsasLTo8FAOAyZApWNn9D36+oqvIfTxisOwYA1BaZgpVl7l0KtKqq8mjg0r3M6n8cAIDKIVOwmrnzr7U3KepzJ4y7Tg8FAOAuZApWdcc48c1NavMTgYtz9vmUhdT4mR/90liyUBkAgAogU1CGu1fPPP8XivoXzx+/fGs+nyoLqfF3/tMbv78xz8UgAEBVkCkoSyb1L+f+zudpUjdt79x38Mf9bx562bvnhbf+QKMAAKqHTMFazM8aYxfODZ+78MH4xykWKAMAqotMAQAAkiJTAACApMgUAAAgKTIFAABIikwBAACSIlMAAICkyBQAACApMgUAAEiKTAEAAJIiUwAAgKTIFAAAICkyBQAASIpMAQAAkiJTAACApMgUAAAgKTIFAABIikwBAACSIlMAAICkyBQAACApMgUAAEiKTAEAAJIiUwAAgKTIFAAAICkyBQAASIpMAQAAkiJTAACApMgUAAAgKTIFAABIikwBAACSIlMAAICkyBQAACApMgUAAEiKTAEAAJIiUwAAgKTIFAAAICkyBQAASIpMAQAAkiJTAACApMgUAAAgKTIFAABIitOgxToAAAJ2SURBVEwBAKBGdF2PRqNOj6KekCkAANTIYDCoqGqP328YhtNjqQ9kCgAAtZNIJHr8fkVVB4PBZDLp9HBkR6YAAFBr8Xi8y+v1aJqu606PRWpkCgAADjBNU9d1j6Z1eb3xeNzp4UiKTAEAwDHJZDJ/w0oikXB6ONIpkSmKqvLBBx988MEHHzX+GAwGa98BkmM2BQAAx0SjUW5SWcFaM+VeInLy6MDA0o9/928/93e/+ihVlUECANBoDMPIL/kxTdPp4UhqrZmSigVPxeZLfEJR/1VsKDJTiTEBANDATNPkfpQykSkAANROfnUP29GWg0wBAKAWDMPI34bCVZ4ykSkAANSCWHvMzrNrQqYAAABJkSkAAEBSZAoAANKYn7v92ULuv5M3/t89R0fjPDIFAADnZW6MvrGvc1tT05aX3r2RWUiNv7Nfe1hp/sG55MLqD25cZAoAAJJ4MK2/9JD61Z/9/r/91asn/vDBpQuXp1IZpwflKDIFAABZZKbOdKnNbU//9YVPXD2Jkrf2THmr96g+NDxk//g3f/6vjw68R6YAALB+C+PHnmr+3MHROacHIgmOHgQAQBaZ5OjB9iblCz8Zu+fuiz05ZAoAAHLIJD8Y7P/5z156SP32mal7Rat+3IpMAQDAWQupqbHLU58kL/7s8NDU/akzXWrH/pHJ//WrwXcmUk6PzWFkCgAAzpodPbhdUR95+keRWxnLSk+e2fOo0rT70Gii1JIVdyFTAABwWCb18UcffZxbe5yZn/2X//mxy1ciZ5EpAABAUmQKAACQFJkCAAAkVbFMAQAAqCwyBQAASIpMAQAAkiJTAACApMgUAAAgqf8PsrZtHJbw83EAAAAASUVORK5CYII=" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the coordinates of M.</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>Calculate the gradient of the line AB.</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 equation of the line parallel to AB that passes through M.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Line <em>L</em> is given by the equation 3<em>y</em> + 2<em>x</em> = 9 and point P has coordinates (6 , –5).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Explain why point P is not on the line <em>L</em>.</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 gradient of line <em>L</em>.</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>(i) Write down the gradient of a line perpendicular to line <em>L</em>.</span></p>
<p><span>(ii) Find the equation of the line perpendicular to <em>L</em> and passing through point P.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A lampshade, in the shape of a cone, has a wireframe consisting of a circular ring and four straight pieces of equal length, attached to the ring at points A, B, C and D.</p>
<p>The ring has its centre at point O and its radius is 20 centimetres. The straight pieces meet at point V, which is vertically above O, and the angle they make with the base of the lampshade is 60°.</p>
<p>This information is shown in the following diagram.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_17.16.13.png" alt="M17/5/MATSD/SP1/ENG/TZ2/03"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the length of one of the straight pieces in the wireframe.</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 total length of wire needed to construct this wireframe. Give your answer in centimetres correct to the nearest millimetre.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">A building company has many rectangular construction sites, of varying widths, along a road.</p>
<p class="p1">The area, \(A\), of each site is given by the function</p>
<p class="p1">\[A(x) = x(200 - x)\]</p>
<p class="p1">where \(x\) is the <strong>width </strong>of the site in metres and \(20 \leqslant x \leqslant 180\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Site <span class="s1">S </span>has a width of \(20\)<span class="s1"> m</span>. Write down the area of <span class="s1">S</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 class="p1">Site <span class="s1">T </span>has the same area as site <span class="s1">S</span>, but a different width. Find the width of <span class="s1">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 class="p1">When the width of the construction site is \(b\) metres, the site has a maximum area.</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>Write down the value of \(b\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Write down the maximum area.</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 range of \(A(x)\) is \(m \leqslant A(x) \leqslant n\).</p>
<p class="p1">Hence write down the value of \(m\) and of \(n\).</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1"><span class="s1">The distance \(d\) </span>from a point \({\text{P}}(x,{\text{ }}y)\) to the point \({\text{A}}(1,{\text{ }} - 2)\) <span class="s1">is given by \(d = \sqrt {{{(x - 1)}^2} + {{(y + 2)}^2}} \)</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find the distance from \({\text{P}}(100,{\text{ }}200)\) to \({\text{A}}\)<span class="s1">. Give your answer correct to two decimal places.</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 class="p1">Write down your answer to <strong>part (a) </strong>correct to three significant figures.</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">Write down your answer to <strong>part (b) </strong>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">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;">The diagram shows the points M(<em>a</em>, 18) and B(24, 10) . The straight line BM intersects the <em>y</em>-axis at A(0, 26). M is the midpoint of the line segment AB.</span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; text-align: center; margin: 0px;"><br><img src="images/Schermafbeelding_2014-09-20_om_13.24.23.png" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the value of \(a\).</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 gradient of the line AB.</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>Decide whether triangle OAM is a right-angled triangle. Justify your answer.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The equation of line \({L_1}\) is \(y = - \frac{2}{3}x - 2\).</p>
</div>
<div class="specification">
<p>Point P lies on \({L_1}\) and has \(x\)-coordinate \( - 6\).</p>
</div>
<div class="specification">
<p>The line \({L_2}\) is perpendicular to \({L_1}\) and intersects \({L_1}\) when \(x = - 6\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the gradient of \({L_1}\).</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 \(y\)-coordinate of 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>Determine the equation of \({L_2}\). Give your answer in the form \(ax + by + d = 0\), where \(a\), \(b\) and \(d\) are integers.</p>
<div class="marks">[3]</div>
<div class="question_part_label">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;">A child’s wooden toy consists of a hemisphere, of radius 9 cm , attached to a cone with the same base radius. O is the centre of the base of the cone and V is vertically above O.</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 OVB is \({27.9^ \circ }\).</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><strong><em><span style="font-family: 'times new roman', times; font-size: medium;">Diagram not to scale.</span></em></strong></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; text-align: center; margin: 0px;"><br><img src="images/Schermafbeelding_2014-09-20_om_08.21.27.png" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate OV, the height of the cone.</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>Calculate the volume of wood used to make the toy.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">A shipping container is a cuboid with dimensions \({\text{16 m}}\), \({\text{1}}\frac{{\text{3}}}{{\text{4}}}{\text{ m}}\) and \({\text{2}}\frac{{\text{2}}}{{\text{3}}}{\text{ m}}\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the <strong>exact</strong> volume of the container. Give your answer as a fraction.</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>Jim estimates the dimensions of the container as 15 m, 2 m and 3 m and uses these to estimate the volume of the container.</span></p>
<p><span>Calculate the percentage error in Jim’s estimated volume of the container.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">A race track is made up of a rectangular shape \(750{\text{ m}}\) by \(500{\text{ m}}\) with semi-circles at each end as shown in the diagram.</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;">Michael drives around the track once at an average speed of \(140{\text{ km}}{{\text{h}}^{ - 1}}\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the distance that Michael travels.</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><span>Calculate how long Michael takes in</span> <span><strong>seconds</strong>.</span></span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The diagram shows the straight lines \({L_1}\) and \({L_2}\) . The equation of \({L_2}\) is \(y = x\) .</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</span><br><span>(i) the gradient of \({L_1}\) ;</span><br><span>(ii) the equation of \({L_1}\) .</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 area of the shaded triangle.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The diagram shows quadrilateral ABCD in which AB = 13 m , AD = 6 m and DC = 10 m. Angle ADC =120° and angle ABC = 40 °.</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 length of 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 size of angle ACB.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">In a television show there is a transparent box completely filled with identical cubes. Participants have to estimate the number of cubes in the box. The box is 50 cm wide, 100 cm long and 40 cm tall.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the volume of the box.</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>Joaquin estimates the volume of one cube to be 500 cm<sup>3</sup>. He uses this value to estimate the number of cubes in the box.</span></p>
<p><span>Find Joaquin’s estimated number of cubes in the box.</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 actual number of cubes in the box is 350.</span></p>
<p><span>Find the percentage error in Joaquin’s estimated number of cubes in the box.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The equation of a curve is given as \(y = 2x^{2} - 5x + 4\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find \(\frac{{{\text{d}}y}}{{{\text{d}}x}}\)</span><span>.</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 equation of the line <em>L</em> is \(6x + 2y = -1\).</span></p>
<p><span>Find the <em>x</em>-coordinate of the point on the curve \(y = 2x^2 - 5x + 4\) where the tangent is parallel to <em>L</em>.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The volume of a sphere is \(V{\text{ = }}\sqrt {\frac{{{S^3}}}{{36\pi }}} \), where \(S\) is its surface area.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The surface area of a sphere is 500 cm<sup>2</sup> .</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><span>Calculate the volume of the sphere. Give your answer correct to <strong>two decimal</strong></span> <span><strong>places</strong>.</span></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 your answer to (a) correct to the nearest integer.</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>Write down your answer to (b) in the form \(a \times {10^n}\), where \(1 \leqslant a < 10\) and \(n \in \mathbb{Z}\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">The four points A(−6, −11) , B(−2, 7) , C(4, 9) and D(6, 3) define the vertices of a kite.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-02_om_19.53.36.png" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the distance between points \({\text{B}}\) and \({\text{D}}\).</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 distance between points \({\text{A}}\) and \({\text{C}}\) is \(\sqrt {500} \).</p>
<p class="p1">Calculate the area of the kite \({\text{ABCD}}\).</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The diagram below represents a rectangular flag with dimensions 150 cm by 92 cm. The flag is divided into three regions A, B and C.</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 area of the flag.</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>Write down the value of <em>y</em>.</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 areas of regions A, B, and C are equal.</span></p>
<p><span>Write down the area of region A.</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>Using your answers to <strong>parts (b) and (c)</strong>, find the value of <em>x</em>.</span></p>
<div class="marks">[3]</div>
<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;">In the diagram, \({\text{AD}} = 4{\text{ m}}\), \({\text{AB}} = 9{\text{ m}}\), \({\text{BC}} = 10{\text{ m}}\), \({\text{B}}\hat {\text{D}}{\text{A}} = {90^ \circ }\) and \({\text{D}}\hat {\text{B}}{\text{C}} = {100^ \circ }\) .</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>Calculate the size of \({\text{A}}\hat {\text{B}}{\text{C}}\).</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 AC.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The diagram shows a right triangular prism, ABCDEF, in which the face ABCD is a square.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">AF = 8 cm, BF = 9.5 cm, and angle BAF is 90°.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAm8AAAFSCAIAAAArWK8xAAAgAElEQVR4nO3d/3MT973v8fwnq+sFDzBwgLhMaL7AIUNT8CQewiQ+JJwGUuOAOYVk7g2kg11SSO8JToPNTfgyhaZ2C04TkkaGhLQYEoXiqECjBDjgcTYNFGysYo8AR0E2lq29P3ykZSVLsr6spP3yfIx/CLYl1ibal/a9n8/7fY8KAADyc0+pDwAAoKqqqgYVj/ud5pqFte4eVVVV9c419wszpKXNvpslPjBHGwsqJ9r/1FQ7a7NncCzN95GmAGAGPe01s2XJJUvLW5Uh/WcqmnzhEh+bc40pLUsklyy55KoWJV2YkqYGiQSvnO447H677Y/ujz/r6g+rozd8n58Ppv3dA4DO2DV33VT9WdtR16aD3S2/3h99GzFO8ELr5nfSh1nhhH1NFdK0JS3d6f9+0jRv4b5Te59fMGnh6u1tRzvPnPZ82La97tHK6iceenpvV6jUBwfAKsJ+9zqHXokGu9vrq1Jc/I0FFXfDotkThlnBDCkty2VpcbMvmP77SNP8hHs9Wx8vn1Sz78KtyN3PjgYv/G7FpIl/+wCcbszv+0N9peSSF73QUDNXluY1eAainz/8p9b6Kl243vH72hoWTZOnrvvdWy/O0F8tjfl97qbaqS5ZcsmLNrcrg9qzB5UTHzStqqj3DAYvtNbMnVHvGYw+4sz++ipZmlv31p6fx10QDyoed2v9ygbPQDTkopXnQcW9uVKaVtl0Jul5bczv+9D9VkPVVs/gWOzJE66q7/h9R1rrq2TJJUtVDe7uoKqq6mB3y5oZopQqueQat1//pMELrTVzo1+SZmu3k5M9T+LhBBV3w6JpsuSaUdP0wZ9a2r/SvuuO3+duFk87ddUbZ/x3f4d/qK+UXDPW7PzdS/N09fYBT/08eWr8TdMxv+/wW7Hn398dHFNJ0/wMXT24boo0c1lL10jil24rLRteOzWY7FEAoKqqqo5d82yukqWqlz3XwuL+XPSsPeCpnydLrrvhqt7xe34VDbNBT8NU192rpeiTiNN6eNCzWYTTjHrPoN9dG30Sxde0VLv5N+Y//vKiafKiN3zB6+IvimV29PpYlta1X/u2fY1IssXNvsA19wszkgaeEPY1z4reXOy+dvzlRdPi80+NpebcOveVsehPF4urse7Wqmm6nzT+NxT3a0n7PHEP626tmqb7YV9o94d1D69qcHcHxe9N/DjR3+HSZl8g+gucFXsXM+hpmOrS3oVo18qV9W4leKW9ZrYsrRNPTprmIfRF88OTZenZtkvD478Y6fvsnc7+4h8UAIsQt0VjZ2qRfHevEXvaa2ZrKRK9pSr+KKJL+1J0mYwIlWgcxs7+4o/Lf+feuURyySKExq60r9EugoO+psVxSSaevGpba9OvWrtOtVZNk6fWtx/f09By7ppn84yUtw9FOXTakreOfLC5yeO/Fp9zsZ90jfvaWOxHi2XtuLwc/7Taj5PueeJEf0VrWrsHVXVs8Kuvvh3THh69vB5TWpZEUznuHyLsa6q4+zeODcb/1Lo3ImMJ97lJ09yNdu39sf4tDABkLnqJKcqhiWft6FejF4I3fU1LZa3KKnI3do0YTaPoiSh6URsLgwFP/Ty5amtz/Uut3dESb9D3RqXkEnkQC6R1sUu36JPPWLSm2XNtTPxFUxfXNnn8Y+NyVy96fTntkaqtH167Ez34+Mu7u+Ea90fxg+sv/vTEjxP7S9M9T4I7sYvpqpc91+J+peNjO3imedG02D+EeP+hJXTC5a92PNejleRFv/L474inIU1zNtp/5H+XSy75R3u7Rkt9LAAsJpoisSsbcZrWFlvEh2tcaTd6gaW7aXqlfc1cedEbvmA4mpTaDcux7taqaTMWLWtwX4kFyIC+tDtuFbE+22JHKHJX5GXyK0jtCMWlXkJAJvykSX/wFJe8yXI3xfMkeXD0jmz0mFPF9lhcaTd64R4f2IlvC8T96frWwz6/7q8mTXMWu8Ew0SYkABhHXOpFcyuaglM3e3ou+L4dSrgkitVy17X7w7ELqcXNZ7pOnLg0pqqqesfve6e5flWluF1a09QeO8mLB8bqouJT4iJSXHuJS15XRZP3ygnvt3ezTfy9cdeF0adKfgWZNCC1q9j4tcrRA4jlfbrry4SnTfs8cY9TPjwszsriBxTvQsYvmb7j/+qCfyxaTJZr3H7tH2JW09+vnDrx7VDCTy2KwLpL+bGgcsrHtWneIsOnGmdLLvnfGk8PRyb+dgC4626a3vJ/9UnLSxWSS566vOFP54KqriZ5rfuEz69boHRTOf5G7VSXLM19tv7g2eBYNDAW1be63e0eJX51q8iJ+Nrs3SU/14NKh1jaOmPl1g++0mWbSK/od4rkiN0WbTnVfeIrf+L1g/bV7jFVW5G0rl3pOuHzx1+q6hYBicPRytQ3lRO+hCeO5lxF05lbyimffyjN88QZ9DTMEot171xzvzAjdm0ae8sibqYOKp4On/9O3K3ZoPJJ06oZd/8hxJdm17p7xvy+Dz3KYPRtTbQ4H1ROfKg7ZtI0D9+d3PoDOcW7KgBIJ1plXVS/33dt0PdGpTStst6tiJYv0TRd1XxcCapa+bGqocWjXDveMFW/DSZ+h4n+SeLiUBNbiVPf4lG+9dTP020yiauFRnMuel2oPSr25HE/Sfyi3GhNOHbwqqqO+f/+/1bNiB5ei+fuBh5tdZXumxMP1TWj5o1PxENSP0/c4XzrPdF9QeTi3ceqamyTj0uW5tY2ubVrSu0fotXTLVZaxX7M2M3Xu4enPUNcDUAgTfNxW2lZWS5NXtj4t+8Sr05HgxcO/N8/KuN2zgCAUe74fe7m+m3tvjMe9zvRPZQZdO1BIZCm+RnqanvuQVl6cPW+M/1hLVFHgxff3vzaJ31hKsAACmbQ0zBVn53RYqYTuymZAGmar0jwHx1v1i0oc5U/9OR/1b/avH3r/6letmbnX4lSAIUlaqp3q76iw4ND+vqaDmlqkPCA4uvsONTR+cXFniA7ZgAUw5jf1y4Wzkx0NxGFRpoCAJAv0tQwf/nLXx6e/+9nz54t9YEAAIqNNDWG1+uNrVB31W/a1NvbW+ojAgAUD2lqABGl2159tX7TJkVR1tbVyZLrwP79oRDzTQHAEUjTfIkoPbB/v/6Tx44dWzB//oL5871eb6kODABQNKRpXkSUJo3MUCh0YP9+Cr8A4ASkae7SRKmmt7e3ftMmCr8AYG+kaY4yiVL9N4vC77Fjxwp9YACA4iNNc5E0SsVlaKqHaIXftXV1iqIU/hgBAMVDmmbt2LFjSa9KFUWRJVf6x2qF3z2791D4BQDbIE2zs2f3nlQF3kzSVDh79uyy6moKvwBgG6RpFtJEqZpNmqqqGgqF2t1uWXItq66m8AsAVkeaZip9lKpZpqkQCARE4fe1xsZAIJD3MQIASoM0zciEUZoPrfDb7nYX4vkBAIVGmk6soFGqaXe7F8yfT+EXAKyINJ1AcaJUCAQCrzU2UvgFAMshTdMpZpRqFEVZVl0tS652t5tdNABgCaRpStlGafruDdnSCr8MTAUA8yNNk8vhqjSHNb3phUIhcRj1mzZR+AUAMyNNk8itwGt4mmpPKwamUvgFANMiTRPlfK+0QGkqMDAVAMyMNI2zZ/eenBOroGmqxhd+GZgKAKZCmt4lojTnoAqFQkXYKqooCgNTAcBsSNOoPKO0yLSBqRR+AcAMSFNVtVqUCtrA1PpNm2ifBAClRZpaMko1DEwFADNwdJqGQqHXGhuNitJAIFCqtvVer5eBqQBQQs5N01AotLauzsCr0kKv6U1PG5i6tq6Owi8AFJlD09TwKFVLnaaCNjB1z+49tE8CgKJxYpoWIkpVc6SpwMBUACgyx6VpgaJUNVOaqrrCLwNTAaAInJWmhYtStVjdG7LCwFQAKA4HpWlBo9TMxMBUCr8AUDhOSVPHRqmGgakAUDiOSFOiVNAKvwxMBQBj2T9NixalJrxvmhQDUwHAcDZP02JelZpqTe+ExMBUCr8AYAg7p2mRC7zWSlOVgakAYBzbpqmI0rV1dUXLCculqaAVfhmYCgA5s2eaalFazHiwaJoKovDLwFQAyI0N07QkUaqWdIaMIfQDUyn8AkBW7JampYpS29AGplL4BYDM2SpNiVKjeL1eUfhlYCoAZMI+adrb27usupooNYpW+GVgKgBMyCZp2tvbu2D+/NJGqVW6N2RFPzCVtykAkIod0tQMUapafE1vetrAVAq/AJCU5dPUJFGq2jpNVQamAkBa1k5T80Spavc0FbTCLwNTAUDPwmlqqihVnZGmglb4tfT+WgAwkFXT1GxRqsZ2apb6KIpHG5hK4RcALJmmJoxSZ9IGplL4BeBw1ktTotRsFEVZVl3NwFQATmaxNCVKTUsr/DIwFYADWSlNiVKT0w9MpfALwFEsk6bmj1LnrOlNTxuYSuEXgHNYI01FlJq8uR1pqsfAVACOYoE01aK01AcyAdI0gb7wy8BUAPZm9jS1SpSqpGkKiqIwMBWA7Zk6TS0UparzujdkRRuYSuEXgC2ZN02tFaWYEANTAdiYSdNUXMoQpfYjruAZmArAZsyYpl6vV5xtS30gKBSv18vAVAB2Yro0JUodQhuYSuEXgA2YK00tHaWsQsqBNjB1z+49tE8CYF0mSlNLR6nKDpk8MDAVgNWZJU2tHqUqaZofrfDLwFQAVmSKNLVBlKqkqREYmArAokqfpvaIUpU0NY4YmCoKv+yiAWAJJU5T20QpDMfAVAAWUso0JUqRnlb4ZWAqAJMrWZoSpcgQA1MBmF9p0pQoRbbEwFQKvwDMqQRpKqLUfi3l6N5QaAxMBWBaxU5TEaW2HMvFmt7i0Aq/DEwFYB5FTVMbR6lKmhaXKPwyMBWASRQvTe0dpSppWnTawFQKvwBKrkhpavsoVUnTEmFgKgAzKEaaipUj9o5SVVVDoRANZktFjJdnYCqAUil4mjokSlFyWuGXgakAiq+waUqUosj0A1Mp/AIomgKmKVGKUtEGplL4BVAchUpTB0ZpIBBg2LV5MDAVQDEVJE0dGKUqa3pNSSv8MjAVQEEZn6bOjFKVNDUxrfBL8QBAgRicpo6NUpU0NT1tYCqFXwCGMzJNnRylKmlqBQxMBVAghqWpw6NUpXuDdSiKsqy6moGpAAx0z4By1pfom4FwJKtnIUphOVrhl4GpAPJ3z4By5ujO1XMkl1xWuf7V7c1N2xvrV1XOmlyxtOH3p/rCGTwFUQqL0g9MpfALIB/3qKqq+t21kkue1eSLhmck3P/5jidnymXLdp0bTP/4Pbv3LJg/nwkesC5tYCqFXwA5S5qmqqqG+4+8OEVyzaj3pIlTolSP+6aWxsBUAPlIlaajNzp+PkVyTXmx40aKRxKlCVjTa3X6wi//YwPISvI0jQTP7XumQpYqX+nsT7oeiSgdjzS1B21g6oH9+yn8AsiQLk3L5j3x01W1Natqa56unCXLZY9vPfJNcFyWivfvROl4pKmdaANTKfwCyIQuTaf//ON/DavhAcV38uO9GyrLXPK9z+442atf1hsKhdbW1RGlSZGmNsPAVACZS33f1LPlPskl31vf0R/9LFGaHjNkbEkr/DIwFUAaqdJUVYdPNf6bS5YWN/uC4hMP/PCH8x54kCiFA3m9XgamAkgjZZpGAh0bp7pkaXmrMiQ+I0su9uTBsbSBqRR+AYyXak3vNx9vebxcmv5o4+c3YguRRLGLZmxwMm1g6p7de2ifBEBzz+XOwwe2LJsiuWRJrlj0dG3NqtrliyskV/lDK7a0nvLrGvbKkktRFJqxpUL3BudgYCqABFnMkBFpKv5ba8bGnjwNa3odRRR+GZgKQMgxTQWasemRpg6kDUx9rbGRUg3gZHmlqUozNh3S1LHEwFRR+KVUAzhTvmkq0IxNJU0dj4GpgJMZk6aCw5uxibcUpT4KlJJW+GWNHuA0RqapSjM2gIGpgCMZnKYCzdgAsUaPwi/gEAVJU0Hbk0czNjgTa/QA5yhgmqo0YwPYnA04Q2HTVNCasdl7Tx5repGGw9foAbZXjDQVbN+MjTRFetoaPQq/gP0UL01VuzdjI02RCdboAbZU1DQV7NqMjTRF5rTCL2v0AHsoQZoKohmbnfbk0b0BWWFzNmAnJUtTgWZscDj9wFR7vK0EnKnEaaqqaiAQYGAqHI7N2YDVlT5NBZqxweG0zdm2XKMH2J5Z0lTQmrGxJw/O5JDN2YD9mCtNVSs3Y2MVEoyiH5ha6mMBkBHTpalgxWZs7JCBsWy8ORuwH5OmqWCtZmykKQzHwFTAKkydpmp8MzaTv0MnTVEg9tucDdiP2dNUsEQzNtIUBcXmbMDMrJGmAs3Y4HD6NXoUfgFTsVKaqgxMBdicDZiSxdJUoBkbIDZnW2WNHmB7lkxTwfYDU4H0rLs5G7AfC6eparJmbHRvQEloa/QstDkbsB9rp6lgkmZsrOlFCVlrczZgP3ZIU6HkzdhIU5QWA1OBErJPmgol3JNHmsIMLLE5G7Afu6WpWrpmbKQpzMPr9TIwFSgmG6apUPxmbKFQyEK/H9gem7OBYrJtmgrawFSascGZTLJGD7A9m6epSjM2gM3ZQOHZP00FKw5MBQwkCr8MTAUKxClpKhS0GVsgEOCNP0xOW6NH4RcwlrPSVC1kMzbW9MIq9JuzKdUAhnBcmgqFaMZGmsJaGJgKGMihaSoYOzCVNIXllGpzNmA/jk5T1dBmbKQpLIqBqUD+nJ6mgiHN2OjeAEvTNmfTNx/IAWl6l7Ynj2ZscCYGpgI5I03j0IwNYHM2kAPSNAmasQEMTAWyQpqmlG0zNu6bwma0NXoUfoEJkaYTyLwZG2t6YUsMTAUyQZpOLMNmbKQpbMzYzdmA/ZCmmZpwYCppCnszcHM2YD+kaXbSNGMjTeEE2ho9Cr+AHmmatUAgkHRgKjNk4BwMTAUSkKY5ohkbHE7bnM3AVEAlTfNEMzY4HJuzAYE0zRfN2AD9wNRSHwtQGqSpMRRFeWnjRpqxwcky35wN2A9pahixppdmbHAyBqbCsUhTw4g01Tdj49cFZ5pwczZgP6SpYfT7TWnGBqTZnA3YD2lqmPHdG2jGBofTr9Gj8At7I00NI65HEz7JwFSAgalwAtK0GGjGBojN2azRg12RpsVDMzY4HJuzYWOkaVHRjA3Q1uhR+IWdkKYlkOHAVMDGtDV6FH5hD6SpYbKdyEYzNjgcA1NhJ6SpYXKbb8qePDgcm7NhD6SpYXKeFl7wZmyR7y5/1rq1prJCqnh03RsfXQyEjf87gLxoa/TYnA2LIk0Nk3Oaag8vSDO2yK2LrWvnSA+u3vf51eDwUP/fdlWv2nsxaNjzAwZhczYsjTQ1TNLuDdnSBqYaVPgdveHZcp8k37fxaH9EfGZIaVk+Zd2R2B8Bc2FgKiyKNDUdI5uxRS69t2K2LD21t+t27FO3z+9cIs9q8lHthYmxORuWQ5qalDHN2MK+5lku+YGd50djnxnrbq2aRprC/EThl4GpsArS1NTybcYmrk1/tLcrmqaRkG/HQsk1o94zaORhAoXC5mxYBWlqdvqBqdk3Yxu9cWr7o2WLG9wXBobGIt+d2fHYdFla0uwjTGEl+s3Z7KKBOZGmhjFkFVL6J8+p8DtyS/msralh/fLFFZJLjluRNN5o8FLHvn0dys2R/I8ZMBabs2FmpKlh8twhk4lcB6aODfX9bd9zD8qSPOe5/ReDo0m/KTLUe7pt09J7Z5ZLrvL5dTuPdt8Ks/AX5hIIBBiYCnMiTQ1ThDRVM2rGFhm5dOJPx85e7vP7/dcuX+x0N61ZUOaSyxaufvPYpeRROnLjovuVJ3+8Ytff+ocCytE3V8+fJkvTFqz/4NIIgQrT0dboUfiFeZCmhilOmgoTNGOL3O7zHd7dsO4ni+ZULHp69Yuv7Gz985d9t1MFY+Tml60/e6RccpVXbj91Y1RVI+Gb3Uf3/eH41ZQPAUpO25xN33yYAWlqmGKmqWBkM7Zwr2fr4+WSPGf9R31EKCyCgakwD9LU2oxsxjbS1Vo9U5aW7jpH30FYiTGbs4H8kKZ2kHEztsjQpc/+0HpUSX73NNx/5MUp0vRlbf/g6hSWw8BUlBZpah8ZNGMb8NTPk6X7N3RcT/rlsK+pQpLn7TyXfNUvYG75bc4G8kKa2k3aZmyjwa//8tZv/6IER9XIvzp3vLzD06vrMBi53fnKTOmRrZ1sPICFMTAVJUGaGqag3RuyklEztrFv2v5jpvyDLZ4bsQvR8JWPNyycs859lW2msL5cN2cDOSJNDVP8Nb3pTTQwNRLuO7HjmQcrltbvO/LZyaNtTc9VPrrhYFfyW6pjQ/7/+czdumtna3tn98DQWMGPHsgbA1NRTKSpYcyWpsIEzdjCgz3nTnzsdrcfOnZa6R9KflE63Od5vXrWzMoX3+o4debkuy8vW52yoRJgNtoaPQq/KCjS1DDmTFM132ZskaGLv60um7xg619viKyN/PO9Z2bft+Xkd8YfKVAoDExFoZGmhjFtmgo5NmOLXGlfPUee9Hx7X6wPfv+R9WUu3ZQ3wBq0wi8DU1EIpKlhQqGQ+X8/2Q5MjfS5V5e55GcO9mhF4MitrkNv/b6zdyT47enOL84rPQNBJo/DMjLenA1khzR1nKyasYV9TRWppouHr/t2rSyXXOVV+y7eYRkwrEQ/MLXUxwKbIE0dSlGUjAam3ujYMMklP/z66e+ihd3I8NBw9AbqdU/DQlmavOBn//3mlpc2bt176Nx1rlJhIWk3ZwPZIU0dLYNmbMGLe58pl+Q5z2w7+OnnnUd++8qWtnM3R2Ork+T7Xjx4safP33OuvX6xXLay9evbRf0BgPxom7MZmIo8kaaGCQQCVqwa6ZuxJf/3DQcufvTGxudW1T63obHt8x6x2XREaVtRIU9a996VIVVVVTUyfKpxtjS71q3c6v2mS/EHaQEB65hoczYwMdLUMCZf05tels3YRvqObJwjzVzW0hVd6Rvp79xaKUsVlTWbtm1Z++isyRVPvu7pGy70YQMG0gamJt+cDaRFmhrG0mkqZNCM7c6tgcGhviMbfyCXP7b7XCh6BzVa9d14tD+iqmokfOX91ZPong/r0a/Ro/CLrJCmSQ0PKGd9Cc73BNMWL22QpurEzdiG+07uXj1/miw9uLHjX9HfR2LVV41cPbiyjDSFVTEwFTkgTZMaHlDOfLJ3/X2SSy6b98Ta+samX299cUXlLFme9eTGXX9OOh/UHmkq6JuxjXuHHgnf7D765oaX/nAhGFFTV32XNPuSbKsBrCLbzdlwONI0Nb+7VnLJs5p82raPcN+pXavnSK7yysaT/YmbQSzRvSEraZuxjdzq7VE63297d3vtvXFV39C53VVl8n0Nn95gHRIsLqvN2XA40jS18Wmqqmrkhq+5ulyS56z/qM8BaTFBM7bwDeXom6vnz17S0h0dKzPS1Vo9U75348daJ0LA4rQ1ehR+kQZpmlrSNFXVSKBj41SXLC3ddS5YoiMrtrQDUyPhm91Hd+/vvBq4FR66enDdFKliZZtClsJmMticnVSyRRgxXyoDNDyxDdI0tRRpqkb++d4zM2Vp2t0LMmdI24wtMtJzYvfPHimXXPLDO3whB1y2w3m0zdnZDEwdHlC+PNn20gLJJU9auuH1puYm8fFq/fL55Q/sPM9SPbsgTVNLlaZq0Ne0WJZcFfFfsd9906TSDUyNfHfZ85v1K5o7+9lpCtvKcnO2qqqqertz6/RxJ5ORC3ur3xh3eoFVkaappUzTwdPbHhmfpnZa05te+mZskWDfPwdIU9ictkYv9eZsnbCvedb4k8lwj/eLHkcVuGyNNE0tZaX3H23V02WpYrX7qr6g6Zw0FWjGBoebaHO2TpI0vXm+s8spKy+cgTRNLdUqpD73mkmuuAHaqqo6L00FmrHB4TIamDo+TUcu7P3FYX+xDhJFQJqmlnyHjN/zi8WyNLN67/mh+G93Zpqq7MkDJticHUvTsnlP/HRVbc2q2pqnK2fJco2bNLUT0jS1xDSNhPu/eq9hSbk0/dGtx/vGzUix6AwZo9CMDQ4nCr/JB6YmXpsOD1x4Z8P6Q6SpnZCmSX1/ufPwgS3LpkguWXKVP7R0Vc2qVUvnlZfNq36x+b0v+iZchafoJFyuKfH0X+rt7U31pUAgoP+SPq4SvqSvNYllxkm/VKCD/H1r6wNzf/jA3B8ePHjQtAdpid8kB2nRg/z73//+0saNsuR6aePGuw9Mct+07+O9x/tV2AdpWhCy5NI+6jdtSvWlhMqwuPuS9EtisYP2of+HSPiS/vpYUZRUXyrCQf7X2rXauca0B2mJ3yQHadGDPLB/f/QLydf0wlZI03x5vd67rxnE0IwNjuX1emXJtWf3nrufSpGmkRt/ffWV4wGandgCaZqXJC8b6GQwMBWwleTnhEFPw9RxaRru6WhY3uAZKO4BolBI09wRpZnIqRkbYEnJzgnfX+483LZt5RzJJUsVlctramt0y3qnbvYM0r7BJkjTHAUCAaI0c7k0YwMshbfXDkea5o69ldnKrhkbYB1EKUhTFNUEA1MBCyJKoZKm2eJ61BAZNWMDrIAohUCaZkG8bLKcFYyUJmjGBpgeUQoNaZopXjYFkrIZG2BunBOgR5pmhJdNQWkDUyn8wio4JyABaZoRGh4VgcLAVFgEUYrxSFOYi1b4ZWAqzIkoRVKkKUxHPzCVwi9MhShFKqRpSl6vl9dMCSmxgakUfmESRCnSIE2T42VjEseOHRN989mYhNLinID0SNMkeNmYir7wS/cMlATnBEyINE1EO3tzUhSFgakoCaIUmSBNk+ACyLS0gakUflEcRCkyRJrCYrSBqfWbNvE/JAqKKEXmSNOos2fPUj+0EAamotCIUmSFNFXV2MuGoZuW4/V6GZiKQiBKkS3SlJeNtWkDU9fW1dny/08UH+cE5MDpaXr27FleNjagDUzds3sP7ZOQD6IUuT6cujEAAAudSURBVHF6mvb29tLO3jYYmIo8EaXImdPTFDajFX4ZmIpsEaXIB2kKG2JgKrJFlCJPTkxTr9e7tq6u1EeBghMDUyn8YkJEKfLnuDTlZeM0DExFepwTYAhnpSkvG2fSCr8MTEUCzgkwirPSdMH8+bxsHIuBqUhAlMJAzkpTrksgBqZS+AVRCmM5K00BlYGpIEpRAPZPU9rZIymt8MvAVKchSlEINk9T2tkjPVH4ZWCqcxClKBA7pykvG2RCPzCVwq+9cU5A4dg2TWlnj6xoA1Mp/NoVUYqCsm2a0s4eOfB6vaLwy90BmyFKUWi2TVMgN1rhl4GptkGUoghIUyAJ/cBUCr+WRpSiOGyVpqKdPec+GEUbmErh16KIUhSNfdKUlw0KgYGp1sU5AcVkkzTlZYOC0gq/DEy1itg54c0B5axPON8TjCT93tFgz8Xo9/i+GQgn/yYgPZukKe3sUQRa4ZeBqWYTCAQURdHe6OjeXg8PfO39sPGZKZJLLlvZ+vXtJA8OfdH88GRZmrxgw/6TpClyZZM05XIBRaMNTDXty8FRQqHQ8+vXy5JLfPzy5V96PJ7ESpXfXSu5ZGnywqYvxq2qGL3h2XKf5JKlxc2+YDGPHDZjkzQFikkbmErht+RWrlgxZdJkLU0n/a+yJDd9/O7aSffPv3+yPOn59r6RuC+NdLVWz5//0HTSFHmycJrSzh6lpSjKsupqBqaWUG9vr5aj+o/Etzh+d+2szS17V5ZL06r2XtDFaSTk2/Hj1S0fvL6YNEWerJqm4r4It69Qclrhl4GpxacoStI0TTxT+d21s5p81zs2TnXJP9jiuTEa/XzkSvvqpVs7/+lrIk2RL0umKSt4YSr6gakUfospVZomTi8QaRoe9DUtkaXZKw9eiqiqqkZGvm596j9alZEgaYr8WS9NaWcPc9IGplL4LabKxYsTovT59esTvymapmqkz71mkkt+eIcvFFEj1z0Nj69xX4mopCkMYL00pZ09zIyBqUV26NAhfZT+ZPl/JnkrE0tTNXLd07BQluY+f+TaWJ97zY92+EIRlTSFEayXpoDJ6Qu/DEwtKO2mj6Io7W53yhOUlqZqZOTr1mVlrvLqX7f8d/VTbd+MqSppCkOQpkBBKIrCwNSCymL9xN00FSuP5siSfjkSaQoDWCNNaWcPi9IGplL4NVZ2SxH1aapGQr4dC+M6Odzo3PKwLD3SeGqwMAcLR7BAmrKCF5amDUyt37SJ6o4hsjknfH+58/CBLcumSAvX73z3z+f6I6qqjnS1PrWhvW9EVSNDlz5vP/DqintlWZLn1Gw/eOjzy0N0FkQuzJ6mRCnsobe3l4GphuCcAHMye5rSzh524vV6GZiaD6IUpmX2NGUvPGxGG5i6tq6Owm9WiFKYmdnTFLAlbWDqnt17eMuYCaIUJmfGNKWdPRyCgakZIkphfqZLU9rZw1G0wi8DU1MhSmEJ5kpTXjZwJgampsI5AVZhojSlnT0cTgxMFYVfbnaoRCksxURpKkpehXt+wBIYmCoQpbAWE6UpAEEr/Dp2YCpRCsshTQGTcuzAVKIUVlTiNBU9wZ357hvIhBiY6pzCL1EKiyplmvKyATLhnIGpnBNgXSVLU142QFa0wq9dB6ZyToCllSxN19bV8bIBsiUKv/YbmEqUwupKlqa2fHMNFIF+YKo9Cr9EKWyANb2AJdlmYCpRCnsoapqePXvWHm+lAZMQq+KtOzCVKIVtZJem+X8c2L+/cD8M4EBa4ddyA1OJUthJka5NxctGlly5PRxAevqBqZYo/BKlsJlipKnWzp40BQpKG5hq8sIvUQr7KUaaau3sSVOg0Mw/MJUohS0VdRUSaQoUh1b4NdvAVKIUdkWaAralFX5NMuuQKIWNFSpNk7azJ02B4tMGppa28EuUwt4KkqapXjakKVASJR+YSpTC9oxP0zQvG9IUKCFFUZZVVxd/YCpRCicwPk3TtLMnTYGS0wq/xRmYSpTCIYxP0zTveUlTwAz0A1MLWvglSuEcrOkFHEobmFqgwi9RCkcxJk0zbGdPmgJmU6CBqUQpnMaANBUvm0za2ZOmgAnpC7+GTHkiSuFA+aZpVi8b0hQwLUVRRPukA/v351P4JUrhTHmlqdbOPvNnyOLQABSdNjA1t8IvUQrHyitNQ6FQVqMqSFPA/HIemEqUwslY0wsgid7e3qwGphKlcDjSFEBKXq83k4GpRCmQdZombWef+TPk8CgAJaQNTE1V+CVKATXbND347rv5vGxIU8CitIGpe3bv0b+ZJkoBIbs0zfNlQ5oClpYwMJUoBTRZpykffPDBhyy5llVX/2T5fxKlgJAqTW+eP+brj8R9SgGAOBcGlLO+5M4qA8OFP4MBZpE8TSN97jWTntrbdbvIRwPAUoYHlDOf7F1/n+SSJy3d8HpTc1NTc9P2xk3PzC+bXevuKfXhAcWTNE1vKy0ryyX5/m2niFMAE/C7ayWXPKvJF9Y+Ndx3ZMsLpCmcJFmahr5oXlhR8W+yPHVTR2C06IcEwFKSpKmqDimfdPaMleyYgGIbn6ajNzxb5m14/8RvnpKl2SsPXookeRSsINzf9dnH7W73oY4vrgZ5V4SCSUzT8ED3NwOcOOAw49I0cqV99fJm32Dk6sGVZS75sX1dI7wsLCcS7vv0terlv3j3M5/vi9NHd65+bMPBr4OlPirYVEKaRq60r98dd50KOEBCmkZGuvYtqW5VRiJq5NrH6+bK0uLGUzdLc2jIXaBzyyMz6j2D0T8Ont72SPmKg1d5X4RCEGlaNu+Jn66qrVn5xEPTEqu+gAMkpOnN09uq17ivRFRVVSO3T712v+SasaEjwFnYWsa6W6umTVl3JLbHKehrWiw/sPM85V4UQty16Wjw6qfNz7xJmsJp4tI00n/k+UkVlctramtW1dasql2+uEJyyWVr3rt6p1THh5wEOrc8IkuLf9HRE1ZVdeirXZX3r2xTRlJ9e/j6+WPvt+7a98ej2h3WSHjg4rG3PzofDAcvedtbftt6yOcPR1R1NHjJ297a+seO8/1h3mRBVdXx902HlA+PKbx1g8Po03T4UtvqJXsv6M65d64eXFMuTauK+yTMLxLuO/5K5XRZenD13sMfbHl29a7P/cnDLxLuO/5K9XOvuU/4Tr3bMH9yeeX2U4ErnsaV88tcsvRMU0vj6uXP1i5fXCFNf7Tx+MVPtlVXPr1q6bxyaXrVzi8nHtMFJ0i6phdwGF2ahr5oXrg24TI00n/k+Ukuee5rp29zIWItWqC6pjzzu4up1vSOdLVW37+spWtEVVU11LW3Wpbu39BxXdxqlaXFDYeUYETVbqLH/njpvRWzOXsiijQFdGk60ndk433PufsSQ3PAUz9PlubEbqbCKob7Pm1cWf/mzucelCV5znP7kwVqZNjX/KC0uNkXXe4bCV450/nl1eBo9FartK7dL06Q6f8IZyNNgWiaRvp9b7/yk3tl+aE1zW+fvDyk5eb3lz37NiyaLksueVZ1wz6P7ksws3D/ycZH527x3BhVw72erY+XS/Kc9R+Ne6sU9rvXybo01SFNkYnvL3cePrBl2RTJJZc9tuE37/75XD/nCDhTFjNkYBmjF/f+aPLMLZ3RxpDhKx9veFiWnm27lNCFXKSpKO3GRIL/+lcwQpoCQDZIUzsK+5pnuSruFt4iw6caZ0vLW5WhhG8c7dr7Y8k15bn3r0bXKEVGvn77l+9fIk0BICukqS3dOL3tMbly9/loZX400LFppmjKkWBEaVtRIUvTH63f7zl1pvPIbzZUb+noD1PpBYCskKb2FAn+T9u6yoXP/brN7X6v5ZXaFds9fUmHTUbCfZ++9uSc6Ajoe9f+/uKtiPr95ZOtDZXTZaniJ9ve7fz20vmP32qonC5L96/Y9vbJby+dP/Tm+ocmy9KDtU2Hzw8QqABAmtrZaLDnos/35fme4AQLQyLBnvNf+nzfDNCQAQBy8v8B23FbxiVtfBgAAAAASUVORK5CYII=" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the length of AB .</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>M is the midpoint of EF .</span></p>
<p><span>Calculate the length of BM .</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>M is the midpoint of EF .</span></span></p>
<p><span>Find the size of the angle between BM and the face ADEF .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Tennis balls are sold in cylindrical tubes that contain four balls. The radius of each tennis ball is 3.15 cm and the radius of the tube is 3.2 cm. The length of the tube is 26 cm.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the volume of one tennis ball.</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>Calculate the volume of the empty space in the tube when four tennis balls have been placed in it.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Consider the statement<em> p</em>:</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">“If a quadrilateral is a square then the four sides of the quadrilateral are equal”.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the inverse of statement <em>p</em> in words.</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 the converse of statement <em>p</em> in words.</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>Determine whether the converse of statement <em>p</em> is always true. Give an example to justify your answer.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The diagram shows a pyramid \({\text{VABCD}}\) which has a square base of length \(10{\text{ cm}}\) and edges of length \(13{\text{ cm}}\). \({\text{M}}\) is the midpoint of the side \({\text{BC}}\).</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>Calculate the length of \({\text{VM}}\).</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>Calculate the vertical height of the pyramid.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</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 average radius of the orbit of the Earth around the Sun is 150 million kilometres.</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_14.06.16_1.png" alt></span></p>
</div>
<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 average radius of the orbit of the Earth around the Sun is 150 million kilometres.</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_14.06.16.png" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down this radius, in kilometres, in the form \(a \times {10^k}\), where \(1 \leqslant a < 10,{\text{ }}k \in \mathbb{Z}\).</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 Earth travels around the Sun in one orbit. It takes one year for the Earth to complete one orbit.</span></p>
<p><span>Calculate the distance, in kilometres, the Earth travels around the Sun in one orbit, assuming that the orbit is a circle.</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>Today is Anna’s 17th birthday.</span></p>
<p><span>Calculate the total distance that Anna has travelled around the Sun, since she was born.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>When Bermuda \({\text{(B)}}\), Puerto Rico \({\text{(P)}}\), and Miami \({\text{(M)}}\) are joined on a map using straight lines, a triangle is formed. This triangle is known as the Bermuda triangle.</p>
<p>According to the map, the distance \({\text{MB}}\) is \(1650\,{\text{km}}\), the distance \({\text{MP}}\) is \(1500\,{\text{km}}\) and angle \({\text{BMP}}\) is \(57^\circ \).</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Calculate the distance from Bermuda to Puerto Rico, \({\text{BP}}\).</p>
<p> </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 area of the Bermuda triangle.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Assume that the Earth is a sphere with a radius, \(r\) , of \(6.38 \times {10^3}\,{\text{km}}\) .</p>
<p><img 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" alt></p>
<p>i) Calculate the surface area of the Earth in \({\text{k}}{{\text{m}}^2}\).</p>
<p>ii) Write down your answer to part (a)(i) in the form \(a \times {10^k}\) , where \(1 \leqslant a < 10\) and \(k \in \mathbb{Z}\) .</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>The surface area of the Earth that is covered by water is approximately \(3.61 \times {10^8}{\text{k}}{{\text{m}}^2}\) .</p>
<p>Calculate the percentage of the surface area of the Earth that is covered by water.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The right pyramid shown in the diagram has a square base with sides of length 40 cm. The height of the pyramid is also 40 cm.</span></p>
<p style="text-align: center;"><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>Find the length of OB.</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 size of angle OBP.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A snack container has a cylindrical shape. The diameter of the base is \(7.84\,{\text{cm}}\). The height of the container is \(23.4\,{\text{cm}}\). This is shown in the following diagram.</p>
<p><img 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" alt></p>
<p>Write down the radius, in \({\text{cm}}\), of the base of the container.</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>Calculate the area of the base of the container.</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>Dan is going to paint the curved surface and the base of the snack container.</p>
<p>Calculate the area to be painted.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Consider the functions \(f\left( x \right) = {x^4} - 2\) and \(g\left( x \right) = {x^3} - 4{x^2} + 2x + 6\)</p>
<p>The functions intersect at points P and Q. Part of the graph of \(y = f\left( x \right)\) and part of the graph of \(y = g\left( x \right)\) are shown on the diagram.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the range of <em>f</em>.</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>Write down the <em>x</em>-coordinate of P and the <em>x</em>-coordinate of Q.</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>Write down the values of <em>x</em> for which \(f\left( x \right) > g\left( x \right)\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">José stands 1.38 kilometres from a vertical cliff.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Express this distance in metres.</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>José estimates the angle between the horizontal and the top of the cliff as 28.3° and uses it to find the height of the cliff.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<p><span><span>Find the height of the cliff according to José’s calculation.<strong> Express your answer in metres, to the nearest whole metre.</strong></span></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>José estimates the angle between the horizontal and the top of the cliff as 28.3° and uses it to find the height of the cliff.</span></p>
<p><span><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAagAAAC/CAIAAAAkdN8AAAAW2klEQVR4nO3d/08b98EH8Pwnd+LWKCBYkwdFD+qyoEwdAqtFWaXd4z3RmnaEEKORRlPytMIuFWTSYraaLV+wmi7Fm2HtsrXnkIY+w2mctMQqWa5xWEHk2tAmGKzCc7TkOpPE+D7PD5/zV4z5avtsv1/ihxjbx8cX7s3n7n32bSEAAEVmS64HAACQbVsIIbIs53oYAADZs4UQ4hKEZpNJkqRcDwYgfyiSR3inq+HpRmGSEELC91yHqrjak6ISzvXIilo4IF5819ZY2uIKhNI8LBZ8e6qrza2tmP0BrMKkq2EHx7Acs88hLRBCSEBoZFiOqesSlVyPrYhp/wssV98jpf0DpAWfSxCCwaBLEDiGtXfbg8FglgYKkJ/CU4KpNG4DK6oZn/KZw/ZBIPV9YWX8na7+yewOKCYk2iqZsr094+n/G2LBR2/Lsmzvtu+prqZRmPlxAuSjUEBo4Ri20iam26EqQGFFEiy1O5ZJlnlJaDNEZ8E5QP9fVp53JwcfJUmSubXVyPNerzeDgwTIL+GA+GezgWG52iOWhiqO2W3xzNJvXxTOWWrr47a3RwGxz1JbxpW2vHXuaEXcHCQcEF22AxUMyzFlBrMgxWaIYUW69p7tQKXZM6985mioqjB75rWn3HCa6zmmynTO/kr8NFORPMI5S32HZz6kSIKltky7Sxl3mes55rku8ZvlXsdF7YnhyMKTHvwoIF5ymOs5huWYeoswrhBClM8cDVUc3ZdkdmgHN6ODH3c2lrKReyOH2MIBsf+cpbaMY1iuts0lzaccjjZ4hq1osL33bo/rVmQ1xj29osH+z8CjyLeXWSFk1mPezZW2eeZjsRwOiBd7zAaG5Ziqxp7P6KJTBx8lSZKR5408j94DgISnPG31HFP/mmcqJPXsZVhtA5v3WOgGH9veHgU8vzYwZQbbDUW7V5uDhAOXX6sti2yBsx7zbo5htQDVjk/ttngk0fZc9ECV9pTak6LyNX18ZJoZOc7YIEzR/W6G5bbbxEf3XIeqUmVTREjs2q4dCBufouNJevD8eM+hCqbKJNwLa4PUJnFh+sK3p5zoLkg9+xJmwTQoS4+4ph5paynlobfwuKO+LO7FHtFCkz69ts0lzYcDl1+rraIjXH6FEPpTon8wIv8R9a95psJ09UYGkC74KK/XS3sPv9+f7tcCoJA9mhKOVDCRjSpxK6I3YxM0GkM0B2nKaJmoRUPkiTS5tGljZDdt31vC6b0My9HcoYcOtccooq0u7vGR41m2s13mvjHx3F6GrTCf//APv3aM341PqyXoMMr2nrv0XpvNE5hKfHDklR4SpmKDpLGojT8uWeLQ/IoOTxs5Tc9o7ZCqbNVW0SHH+Dwh4flbt+6Go0+n89AFqWefFqDpVkh43tMWN7kOK+JJ7c+P9qJi8+6Vg48QQnuPPdXV9m47al8oRtrEjW6HyRvYvKetIjZj+ka0Pcdp21tkg28QAoQkz4m0ZUa321mPeTdX39FlftkxrkWoIp40MGykM6EZFM0OGpQ7DA0nPYF5LZJqD3V5psIJabuEllBlNfUdF5fOxbRRRXIw4Sad/cWSN8Uq0n4oXSfRxSbdTKJFLZ1Nx63SpQmbfoUkTE6JcqOrtowrbfN8MyX+2WxgygxtlwORn76q4KPQe0CxStpu6QYWPYKeuL0l7NsmTzTCU4KplGbiN9r+bLQIDo876ssqao0WOkWKLVkLyuQeOSGG6L+1tKU7pKnnZbER0rlYUsSkDaykTFx5FUVfeNLNFGMa7zlUETtcsFzCpl0hCQkeGY92LPXcRTEQ/6PXEHyU3+83t7buqa5G7wFFg+5S0XSITDpK2zyTn4l3F5JmTNpRMDoNoZMOpq7rxti1axNhQusRm6WhjqPH2m2CGD1gT9NK28Gk36JTMzqX1IKy0ua9d817N5y4nSfMtui8cpl5WeqEStrdjsxJtQHEz3OXm7UlRRudi0WObNJ1kvJcn7B0sZ8uj75A+pSEpxNCSDjguxUIp10hiXG/dK98frz/2t11zPjiofeAYhILvm8Dtz7sebmSYbnSfZZ3byuxGdPlKekTMfAoHOs9vpEun2wsZTmm6kXzeZ8SJsqNrtodBvM5l9DvSe43U6VV7KjZ14o02NVQxTFsxQsd791K3t0OibbK6EauPWufQ7x9LXGaE/eDIgmlFR0tLmnsmhhInADSWVik0o3tp9/4VvokmteJQ63rEqeka7cC4bg8jesoUqzaeY9l+4GTNwJhOjvWslsLtYoG57gSJork6RcD4fQrJLYCwwHxomd8isY0TdtwQOz/IH7M6ww+Cr0HFAltr6rW7BSn5ukhc+1MlEhSNJz8kG7Y2tH3ekuPR5q6bCmNO40j4XSQuNNESHSTTjr2r+0pG8w9Hon2FdGnxM/UErMsOoDowhNeSVIFQW/GjyTwzz9Ez7bpiQvoSOkRfaUJi9WqjEbbID1BJxzwntRebL2lxyMtc153+K732vhnH9oOJC9ZOyOH5UoPdAnR/E6zQiIHCksPdF2WlPglJM6sqQ0FH0HvAbBK4YAonLS0vSuKHte7tsgpbzk817eobTT4KPQeAGnRiWF8zMUf0oJs25zgo2RZpr2H2+3e+NIACklY6tkb/1YNejp0kby3V382M/goSZKaTSYjz/t8vs1aJkD+exQQha7YMb50R74g0zY/+Civ12vkeXNrK2pfANCbTAUfQe8BAHqVweCjgsGgvdvOMSx6DwDQiYwHH4XeAwD0I0vBR6H3AAA9yGrwUeg9ACC3chB8FO09Oq1W9B4AkGU5Cz5CSDAY7HU6OYbtdTrRewBA1uQy+ChZljutVvp2t1yNAQCKSu6Dj8LljQAga/QSfBR6DwDIAn0FH4XeAwAySo/BR9B7AEAm6TT4KHzMHwBkgq6Dj0LvAQCbKw+Cj/L5fEaebzaZ0HsAwAblTfBRbrebXt4IvQcArFueBR+JfMwfx7D2bjsO/AHAOuRf8FHoPQBg3fI1+Cj0HgCwDvkdfBR6DwBYk0IIPgq9BwCsUuEEH8HljQBgdQoq+Cj0HgCQXgEGH+X3++nljdB7AECSgg0+SpIkI88beR69BwBEFXjwUV6vl/Yefr8/12MBgNwriuAj6D0AIE6xBB+F3gMASLEFH4XeA6DIFWPwUZIkNZtMRp73+Xy5HgsAZFXxBh+FyxsBFKFiDz6C3gOg+CD4NMFg0N5t5xgWvQdAwUPwJZBlmfYebrc712MBgExB8KWA3gOgsCH4loXeA6BQIfjSQe8BUJAQfCsLBoO9TifHsL1OJ3oPgAKA4FstWZY7rVb6drdcjwUANgTBtza4vBFAAUDwrQd6D4C8huBbP9p7dFqt6D0A8guCb0PQewDkIwTfJkDvAZBfEHybBr0HQL5A8G0y9B4A+ofgywi3200vb4TeA0CHEHyZQt/uxjGsvduO3gNAVxB8mYXLGwHoEIIvG9B7AOgKgi97fD6fkeebTSb0HgC5heDLNvQeADmH4MsB9B4AuYXgyxn0HgC5guDLMb/fTy9vhN4DIGsQfLogSZKR5408j94DIAsQfDri9Xpp7+H3+3M9FoBChuDTF1zeCCALEHx6hN4DIKMQfPqF3gMgQxB8eofeA2DTIfjyAz7mD2ATIfjyBnoPgM2C4MszwWDQ3m3nGBa9B8C6IfjykizLtPdwu925HgtA/kHw5TFJkppNJiPP+3y+XI8FIJ8g+PIeeg+AtULwFQL0HgBrguArHOg9AFYJwVdo0HsArAjBV5hweSOANBB8hQy9B0BKCL7CR3uPTqsVvQcAheArCsFgsNfp5Bi21+lE7wGA4Csisix3Wq30Y/5yPRaAXELwFR30HgAIviKF3gOKGYKvqKH3gOKE4Ct29O1uHMPau+3oPaBIIPiAEFzeCIoMgg9i0HtAkUDwQTKfz2fk+WaTCb0HFCoEH6Tmdrv3VFebW1vRe0DhQfDBstB7QKFC8MEK0HtA4UHwwaqg94BCguCDNZAkycjzRp5H7wF5DcEHa+b1emnv4ff7cz0WgPVA8MF64PJGkNcQfLB+6D0gTyH4YKP8fj+9vBF6D8gXCD7YHOg9II8g+GAzofeAvIDgg02G3gP0D8EHGYHeA/QMwQcZJMsy7T3cbneuxwIQg+CDjJMkqdlkMvK8z+fL9VgACEHwQdbg8kagHwg+yB70HqATCD7ItmAwaO+2cwyL3gNyBcEHuYHeA3IIwQe5hN4DcgLBB7mH3gOyDMEHekF7j06rFb0HZBqCD3QkGAz2Op0cw/Y6neg9IHMQfKA7six3Wq307W65HgsUJgQf6BQubwSZg+ADXUPvAZmA4IM8gN4DNheCD/JDtPd4/Xe/Q+8BG4Tgg3zy0Ucfba/4fvUPf4i3u8FGIPggb8iyvKe62ufzofeADULwQd4wt7b2Op3Rmz6fz8jzzSYTeg9YKwQf5Ada7y7dvXW73fTyRug9YPUQfJAHgsEg3cld7l6XIHAMa++248AfrAaCD/JAr9PZabWmfwwubwSrh+ADvZNlmWPYVe7JoveA1UDwgd7Zu+3xncZqoPeA9BB8oGv0FJb17bqi94DlIPhA1+zd9o38cuLyRpASgg/0ix7d23hTgd4DkiD4QL/s3XZ7t32zlub3++nljdB7AIIPdIqeu7fp+6eSJBl53sjz6D2KGYIPdMrr9ZpbWzO3cNp7+P3+DP0I0DMEH+iUubU1o/uk6D2KGYIP9Gizao3V/CD0HkUIwQd65Ha7V3yP2oapodnPPxU/nw2p6D2KDYIP9CjT+7mEqAt33j5ysOPsqWO8SbgfJoQQSZKaTSYjzy/3aQhQMBB8oDvBYDDz+7kPv+w72jE0R8ikq+GoKxCK3oHLGxUDBB/ojs/nazaZ6L9VZeL6pQsuYeDq2Ewo6XGhmbGrAy5BuDB4876ymGaBqRaiLtx5+6Xnj1p/c5g/8v60mvB49B4FD8EHutPrdLoEgZBFZdTZ9B8cx7Acw3JM+TMdl6dDNKLU0PSVTn7fq3+9Koo3h/9xuunZY+fvKKkWpj6e6H+5tjyykF1NfWMLkbtCs59/OjKpqKmeR0gwGLR32zmGRe9ReBB8oDvap6oEb3bVm84Mjs6GHs6OCh2Gco7ZeUi4pxJCiDzUXlNh9sxrz5gfPlGzdf/5+0sj7PHYn45YByYeqGRRmei3VD/Bfe+Vwbl008MksizT3sPtdm/GiwNd2EIIifwxXMNXrocNhYxj2GDw3w/FNyyX/JEoUx+PvVnPsFt/eWmGEBIed9SXbWu5NKPdrYi2Ou4Hp0eWBtrC/bGvvovcmB8+UcOV/GpgZg3BR6H3KDDrmfEh+CBzaMSkuOPhJ9bvs5FZnjzUXsMxda8OToYIIQu3zhieeqFPerzCsueG2mv2dHw0t8y+7YrQexQMBB/oi9frTXkGnzp5fj9T9dKlKZUQQtTQ9OXjhnKO2dV0tv+99hebzlwPhNLn2aJy552X9r9xO20NsiL0HoUBwQf6ssxv4+Np4aWKn/5xdCGabtHsY7c9/9Zo+lZ39ubbvzm4p4TlmJ289cr0ChG5smAw2Ot0cgzb63Si98hHCD7QF3Nr69LjaOrcR8efbnIk9LYPp69YXzCfOn1wF8dwOw86V8g+5d6wYGuqLotrSDZKluVOq5W+3W0zlgfZg+ADfUlxBE0NeNqaj1/xx53HF5r52PpMVbtnbpGE/J6On2xluJ2Hk0/HW0J9fMdhLGG3HR2c27wB4/JG+QjBB/qS/J4N9dtRxytHYiffEUIIWRw9++Mnnmwf+je9Gbo3cOxHHPNi38TDFZauftHHl29u8FHoPfILgg/0JeG3i6aeYyR6jrGqTIx89R0JiV3b2UqbGH0bxsNPrDuYfQ5pIXlxSdQv+vjdm7WruxTtPTqtVvQeOofgA32J/Xap3446mv/TYO4RBPorKvSd/J/nmhzSAiFzwyee5QzdI1rXsSgPtj7JO6THKiHBLy91Hm45MzQTIoSoinT1wgfXJx6ohBCy+ODmqZ81rXA0cIPQe+QFBB/oCL2YJCGEEEXqa9m55Mz5rf/VNxEmhBBV+Vdfi+Hpg7/tE4S/9Rxv3P+6Z5ru5349ePQpjqnpGJIJUR+Nvrm3hOWYSsPzpsO/MP7c8vexTKZe/AtB76FnCD7QEVoUrPrhi8rkqCgmv91WVSZHYt+iH7oniuLoZFYiLx56D91C8IGOrDH48gN6Dx1C8IGOFGTwUW63m17eCL2HHiD4QEcKOPhI5O1uHMPau+3oPXILwQc6suwnFBQQXN5ID7TgM7e2uiInDaz4RT+aEV/4ysRXkfx2mVtbOYZF75ErWwghkiThVxNfOvmyd3fnfAxZ/sJn/GXfllwPAAAg2xB8AFB0EHwAUHQQfABQdBB8AFB0EHwAUHQQfABQdBB8a7WoTNwYnvgu/YNUZeL6pQsuYeDq2Ewo6b7QzNjVAZcgXBi8eX+5zwsJfT0y8MeOllNDa7n0NQCsEoJv9R7O3L7w+5b6SmZHozC5/MPUxxP9L9eWRz5CbldT7GPT1dD0lU5+36t/vSqKN4f/cbrp2WPnEy6gQwghJPzV4B+OH64t55gWVyA5NgFg4xB8q6bK0o2xL/7R9mT64Hs89qcj1oGJBypZVCb6LdVPcN97ZVCbuMlD7TWRS2ITQuaHT9Rs3X/+forPQVdEWx2CDyBDEHxrExJtK8z4Fu6PfRXdEZ4fPlHDlfxqYGaREELC4476sm0tl2a0pFNEWx33g9MjKXZnEXwAGYTgW5uVgy/B3FB7zZ6Oj+a0pJOH2ms4pu7VwckQIWTh1hnDUy/0SY9TPDE++B7OSj6RGplUVDU0O+r+y/sjSkiZ8Lp6/ui4IAZCKiGLyoTX5XC8PTgys+ELZgMUNgTf2qwl+BaVO++8tP+N27EGQw1NXz5uKOeYXU1n+99rf7HpzPVA6pBKCL4p4VcVJc8e6/nf4dveCydeqC5hOeZ5W4+1ad+LjfvqKpnyZ6yXRz88wRv++8Bzu7cy5fWnP8WnHQGkgeBbm1UGnzp78+3fHNxTwnLMTt56ZTqWbtHsY7c9/9byl/uKBV9o+vJx/sifRr+NLGJ++EQNx9RZLkiKSog6NdBSFXdz4m/7d3DbYxdeBIClEHxrs/oZn6rcGxZsTdVlHLMz7kKuD6evWF8wnzp9cBfHcDsPLnepQxp8TY6PheNNx1135tXku6KH/9LfBIAUEHxrs8ZjfOrjOw5jCbvt6OAcIYSEZj62PlPV7plbJCG/p+MnWxlu5+H3p5dtdVmOYbcaXv8k4Ww+BB/ARiH41maNwUeI+kUfX64F3+Lo2R8/8WT70L+1Zd0bOPYjjnmxb+LhkqdpM763hN/Vl3A7W4T7sZ1lBB/ARiH41mZdwbdb29UNiV3b2crY8Tf14SfWHcw+h7Sw5GnR/Howcf6lnUzl/jdvK2rSXQg+gHVC8K1NSLRVMuXGvi8Sd0+DX17qPNxyZmgmpCrS1QsfXJ94oBJCyOKDm6d+1hQ9kDc3fOJZztA9skCfvSgPtj7JO6THS/d14/IrNDloqeNKfnL8ij+UdNfKNwEgBQTf6n335VB/b7txG8Nu+2lHr3D9y4VoYH09ePQpjqnpGPq/R6Nv7i1hOabS8Lzp8C+MP7f8fSyuvlCVf/W1GJ4++Ns+Qfhbz/HG/a97ppfs56ozIxfsx2rLOWZXo+380MTXd/uaKxiWK3n22BtvnX3j9xZDOcdU/vzEX4fuTowMnLMYyjnmqf0n/vLx3YmRC6cO//AJjtnVaOsfmUX2AaSG4NscqjI5MjKpqIQQNTT7+aeiKIqjk6kb20VlclQUP9UeDgBZh+ADgKLz/2Q4bWqYjWOiAAAAAElFTkSuQmCC" alt></span></p>
<p><span>The actual height of the cliff is 718 metres. Calculate the percentage error made by José when calculating the height of the cliff.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">Fabián stands on top of a building, <span class="s1">T</span>, which is on a horizontal street.</p>
<p class="p1">He observes a car, <span class="s1">C</span>, on the street, at an angle of depression of <span class="s1">30°</span>. The base of the building is at <span class="s1">B</span>. The height of the building is <span class="s1">80 </span>metres.</p>
<p class="p1">The following diagram indicates the positions of <span class="s1">T</span>, <span class="s1">B </span>and <span class="s1">C.</span></p>
<p class="p1" style="text-align: center;"><span class="s1"><img src="images/Schermafbeelding_2015-12-20_om_09.20.36.png" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show, in the appropriate place on the diagram, <strong>the values </strong>of</p>
<p class="p1">(i) the height of the building;</p>
<p class="p1">(ii) the angle of depression.</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 distance, <span class="s1">BC</span>, from the base of the building to the car.</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">Fabián estimates that the distance from the base of the building to the car is <span class="s1">150 </span>metres. Calculate the percentage error of Fabián’s estimate.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The diagram shows a rectangular based right pyramid VABCD in which \({\text{AD}} = 20{\text{ cm}}\), \({\text{DC}} = 15{\text{ cm}}\) and the height of the pyramid, \({\text{VN}} = 30{\text{ cm}}\).</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>Calculate</span><br><span>(i) the length of AC;</span><br><span>(ii) the length of VC.</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>Calculate the angle between VC and the base ABCD.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A park in the form of a triangle, ABC, is shown in the following diagram. AB is 79 km and BC is 62 km. Angle A\(\mathop {\text{B}}\limits^ \wedge \)C is 52°.</p>
<p style="text-align: center;"><img 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ivxTNxwww2oqqrCuHHjsGfPHmRnZ2Px4sX46U9/in79+tlGVgpCAiRAAiRgDgL0VJhDD7rPoqKiAuPHj0dycrJqQGRlZaGurk71WqSmpuLo0aO6j8kOSYAESIAEnE2ARoVN9b99+3bk5OR0ki42Nha7du1S78fHxyM/Px9//vOfO7XhFyRAAiRAAiQQLAFufwRLzsTviRdCjIazZ88iOjra50wlzkICOBsbG7Fx40aMHTvWZzveJAESIAESIIFACdBTESgpC7X77W9/q8ZO+DMoRBTNazF9+nTVAKHXwkIK5lRJgARIwKQE6KkwqWKCnZZngKbEUwRyiWdjwYIFatOdO3eqBkcg77ENCZAACZAACXgSoKfCk4YNPnsGaAYqjmx9VFZWQrwWcXFxkHgMxloESo/tSIAESIAENAL0VGgkbPK/GAaZmZmQbI9gLs1rERMTg7Vr19JrEQxEvkMCJEACDiVAT4WNFC8Gwf79+3H33XcHLZXmtUhKSqLXImiKfJEESIAEnEmAngob6V2CLb/88kvVw6CHWFKBMy8vD+K12LBhAwYPHqxHt+yDBEiABEjApgToqbCJYiVAc8WKFZg2bZpuEqWnp6OkpETdApEzRIqLi3Xrmx2RAAmQAAnYjwCNCpvoNJgAzUBEl7RUia0oLS3F008/jfnz54MnnwZCjm1IgARIwHkEaFTYROe+KmjqKZrmtRg4cKB68im9FnrSZV8kQAIkYA8CjKmwgR4DqaCpp5gSazF58mTMmzcPq1atYqyFnnDZFwmQAAlYmAA9FRZWnjb1QCpoam31+F+8FqdPn1a7klgLHqmuB1X2QQIkQALWJ0BPhcV1GEwFTT1Flm2QGTNmqGXBly5d6vesET3HZF8kQAIkQALmJEBPhTn1EvCsjArQDHQCUmhLvBbnz5/HlClT6LUIFBzbkQAJkIANCdCosLhSjQ7QDASP1K/YtGkTxFMhsRZy+ql4UHiRAAmQAAk4iwC3Pyys71AHaAaCStJNc3Jy1CPVV69eDYm/4EUCJEACJOAMAvRUWFjPoQ7QDASVeC127dqlGhbiteCR6oFQYxsSIAESsAcBeiosqsdwB2gGgq2+vl7dCmlsbMTGjRsh54rwIgESIAESsC8BeiosqttwB2gGgi02NrbDaxEfH0+vRSDQ2IYESIAELEyARoVFlWeGAM1A0PXr1089hr2urg7V1dVITU2FxILwIgESIAESsB8BGhUW1KkeR5yHWmzNazF9+nTQaxFq+hyPBEiABEJDgDEVoeGs6yh6H3Gu6+QC6EyMogULFqhHqsthZWJw8CIBEiABErA+AXoqLKZDI444DzUCCdisrKxEUlIS4uLiIFs5f/7zn0M9DY5HAiRAAiSgMwF6KnQGanR3UhZbjiCX+AQ7XPRa2EGLlIEESIAE2gjQU2GxlWCVAM1AsWpeC9kCodciUGpsRwIkQALmJEBPhTn14nNW8le9BDmePXvWlgd3yWmneXl5aqzFhg0beKS6z1XAmyRAAiRgXgL0VJhXN11mZsYKml0m2YcbUtK7pKREDdyUI9Vlq4cXCZAACZCAdQjQU2ERXVmhgqaeKDWvxZgxY7Bq1Sp6LfSEy75IgARIwCAC9FQYBFbvbq1QQVNPmTWvxcCBA0GvhZ5k2RcJkAAJGEeARoVxbHXt2W4BmoHAiY6OhtSxKCoqwowZMzB//nzIKai8SIAESIAEzEmARoU59dJpVlasoNlJgD5+kZmZidOnT6u9iNdCtkZ4kQAJkAAJmI8AjQrz6aTLjOweoNlFYB835Ej1TZs2qV4LOVI9NzcXEmfCiwRIgARIwDwEaFSYRxc+Z2KHCpo+BQvypua1OH/+PKZMmUKvRZAc+RoJkAAJGEGARoURVHXs02kBmoGg07wWS5cuBb0WgRBjGxIgARIIDQEaFaHhHPQoTgzQDBSWeC3kSPX6+nrVa3Hw4MFAX2U7EiABEiABAwiwToUBUPXq0u4VNPXiJIeR7dmzB9nZ2VizZg0WLVqEfv366dU9+yEBEiABEgiQAD0VAYIKRzMGaAZGXQyIrKws1WshB62lpqZCDDJeJEACJEACoSVAT0VoeQc8mtMqaAYMpoeG9Fr0AIiPSYAESMBAAvRUGAi3L10zQDM4ep5ei3379tFrERxGvkUCJEACQRGgUREUNuNfYoBm3xjLUeqVlZWYPn26erKrnHoqXgxeJEACJEACxhHg9odxbIPuWbIZ4uLibHvEedBggnxR4isWLFigHqkuZb/F4OBFAiRAAiSgPwF6KvRn2ucepQz14sWLIWdf8Oo7gbFjx6pei6SkJNVYEy8QvRZ958oeSIAESMCbAD0V3kTC/LX8suvfvz+qqqqQnJwc5tnYb3h6LeynU0pEAiRgHgL0VJhHF+pM3n77bYwfP54GhUF60bwWsgUiW0z0WhgEmt2SAAk4kgA9FSZTuwQWSqVIqbvAy1gCss2Ul5eHMWPGYNWqVZDy37xIgARIgASCJ0BPRfDsdH9TAjT379+Pu+++W/e+2WFXAunp6SgpKcHAgQMhR6oXFxd3bcQ7JEACJEACAROgpyJgVMY3lLTHTz/9FJKhwCu0BOi1CC1vjkYCJGBPAvRUmESvEqC5cOFCTJs2zSQzctY06LVwlr4pLQmQgDEEaFQYw7XXvTJAs9fIdH9BUnjFS1RUVIQZM2Zg/vz5aGho0H0cdkgCJEACdiVAo8Ikmv3FL36BnJwck8zG2dOQQNnTp0+rEOSzbI3wIgESIAES6JkAYyp6ZmR4C1bQNBxx0ANI8KZ4LaQY2dKlS1mQLGiSfJEESMAJBOipMIGWWUHTBErwMwXNa3H+/HlMmTKFXgs/nHibBEiABIQAPRVhXgesoBlmBfRieHotegGLTUmABBxJgJ6KMKudAZphVkAvhhevRV1dHWS7SrwWBw8e7MXb+jV1N9Vi/95CZMdEICJmOcqb3e2dN6P+jfVt9yMiEDFxCbbVNkF7qt8M2BMJkAAJ+CZAo8I3l5DdZYBmyFDrMpCU9961a5caVJuSkoL8/PwQHk72NZqqn8eDCbNRfGoIsisuQGnMx6Qo+Tb+Gp/t34Hf4C4836hAaW3Eu1M/x7LE+VhX+6UusrMTEiABEuiJALc/eiJk4HMGaBoINwRdi/5yc3PR2NiIjRs3Qs4VMe5yo6X2Wdxzz1FM3fc0HktyodNfBO4/ouKtK/H9tCGX77tPYEvGJOSN3YkTz0xClHGTY88kQAIkoBLo9HOJTEJLgAGaoeWt92ieXov4+HhjvRYtNXjhiV/hlg0/62pQiGCR30Gap0Gh3rsRQ8fG6C02+yMBEiABvwRoVPhFY+wDVtA0lm+oeu/Xr596+NuRI0ewb98+pKamQo5X1/f6CvW7C7EYdyDZvQcPSixFxK3ILixFfUtPERM3IOO7wzBA3wmxNxIgARLwSYBGhU8sxt9kgKbxjEM5gnakupwyK14LOcdFDEddLvcpVL1yGGlJozEm+VFsa2zFxeNPAOsexEMv1KDF3yDNx1B6dAp+ku6xJeKvLe+TAAmQgA4EaFToADGYLhigGQw1c78jXovly5dDvBbbt2/Hfffdp2aK9HnWLY2oe/96JE3OQILrKtnrwIAR92LF6hRULC7E7vqvfAzxJWo3voqb8h9EwgB+m/sAxFskQAIGEOBPGwOg9tSlBPjxiPOeKFn3uea1SEpKQlxcnGpg9MVr4f78FI42efO4BsNTpiAdH6OuwdtXIUGdv8bu6Hl4OOF67xf5NQmQAAkYRoBGhWFo/XfMAE3/bOzyxNNrIVshffFaRN48FGNdjTh66gsfNSduQdzgzhET7s9KsOmDFKycM5qxFHZZUJSDBCxCgEZFiBXFAM0QAw/zcOK1KCkpgWSKBO21iLoNk2fF4P2DH6KpIy7TjZaGk3g/fQpShl/TIaW7qRzP7r4G/zRLMyjcaDmxF1sqvuhoww8kQAIkYBQBGhVGkfXTLwM0/YCx8W3tSPXS0lI1gPPRRx/t5ZHqNyLt0eXIeH0Vlm/9QA3MdDf9Hpu3fYLH8zMRq34Xu9FSX4xl9z+Axx+/AzFXSIaI/LsC147cDcR09mbYGDdFIwESCCMBGhUhhs8AzRADN9Fw6enpqtdi4MCBGDJkCOQskUCvyEHT8WxFIW6tvA/XRkTgivtfRfSjhXi8PWbC/dk+PJY2A2srugRfAF7ejEDHZDsSIAES6C0BVtTsLbE+tGcFzT7As9mrEleTl5eHMWPGYNWqVRg8eLDNJKQ4JEACTiRAT0UItc4AzRDCNvlQmtdCptlbr4XJReP0SIAEHEyAnooQKV8CNPv374+qqiokJyeHaFQOYwUC2pHq8+bNwzPPPAOJweBFAiRAAlYkQE9FiLTGAM0QgbbgMHKk+unTp9WZy5Hq4tHiRQIkQAJWJECjIkRaY4BmiEBbdBiJqdi0aROWLl2KyZMnq6efnjt3zqLScNokQAJOJUCjIgSaZwXNEEC2yRCa1+L8+fOg18ImSqUYJOAgAlc8+eSTTzpI3rCIumvXLowePRpTp04Ny/gc1FoEoqKi1LVy9dVXY8aMGbh06RISEhIgVTp5kQAJkICZCTBQ02DtMEDTYMA27168XLm5uWhsbMTGjRshFTp5kQAJkIBZCXD7w2DNMEDTYMA2717Ke4unKycnRz1SPT8/X78j1W3OjuKRAAmEngCNCoOZM0DTYMAO6F62PbKyslBXV4fq6mqkpqbi6NGjDpCcIpIACViNALc/DNQYK2gaCNehXct22p49e5CdnY01a9Zg0aJFjLVw6Fqg2CRgRgL0VBioFVbQNBCuQ7vWvBZHjhzBvn376LVw6Dqg2CRgVgI0KgzSDI84Nwgsu1UJSMBmZWUlpk+frsZabN++nbEWXBskQAJhJ8DtD4NUoB0YJXvgvEjASAISX7FgwQLExMRg7dq1kOBOXiRAAiQQDgL0VBhEnQGaBoFlt10IaF6LpKQkxMXFgV6LLoh4gwRIIEQE6KkwADQDNA2Ayi4DIkCvRUCY2IgESMAgAvRUGACWAZoGQGWXAREQr0VJSYm6BaJ5LQJ6kY1IgARIQAcC9FToANGzC1bQ9KTBz+EkoMX1jBkzBqtWrYIcWsaLBEiABIwkQE+FznRZQVNnoOwuaALp6emq12LgwIEYMmQIiouLg+6LL5IACZBAIAToqQiEUi/aSIqfnDQpFRB5kYBZCNBrYRZNcB4kYG8C9FToqF8eca4jTHalKwHxWmieCnotdEXLzkiABDwI0KjwgNHXjwzQ7CtBvm8kAYmp2LRpE4qKitQj1efPn49z584ZOST7JgEScBgBGhU6KZwVNHUCyW4MJyDbc6dPn1bHmTJlCsQY5kUCJEACehCgUaEHRQAM0NQJJLsJCQHNa7F06VJMnjwZubm59FqEhDwHIQF7E6BRoZN+WUFTJ5DsJqQENK/F+fPnQa9FSNFzMBKwJQFmf+igVlbQ1AEiuwgrAc8j1RcvXgzxYERHR4d1ThycBEjAegToqdBBZwzQ1AEiuwgrAe1I9bq6OoiRLF4LKfnNiwRIgAR6Q4Ceit7Q8tGWFTR9QOEtSxPw9FqsWbMGixYtghgdvEiABEigJwL0VPREqIfnDNDsARAfW46Ap9eiuroaqamp9FpYToucMAmEhwCNij5yZ4BmHwHyddMSiI2Nxa5du9TqsPHx8cjPz4d4MXiRAAmQgD8C3P7wRyaA+wzQDAASm9iCgHakugizc+dO9RRUWwhGIUiABHQlQE9FH3AyQLMP8PiqpQjIkeqVlZWQs220I9XptbCUCjlZEggJAXoqgsTMAM0gwfE1yxPQvBYxMTFYu3YtvRaW1ygFIAH9CNBTESRLBmgGCY6vWZ6A5rVISkqi18Ly2qQAJKAvAXoqguQpbuA777wTOTk5QfbA10jA+gQOHjyoppzSa2F9XVICEtCDAD0VQVDUjjgXw4IXCTiZQHJyMkpKStQtEIm10I5XdzITyk4CTiZAT0UQ2t+wYQPee+899RjpIF7nK7hr+fkAAB4rSURBVCRgSwISuJyXl4cxY8Zg1apVkEPLeJEACTiLAD0VvdS3BGguXLgQs2fP7uWbbE4C9iaQnp6uei0GDhyIIUOG0Gthb3VTOhLwSYBGhU8s/m9qAZrjxo3z34hPSMChBOQQMskIKS0txdNPP4358+ejoaHBoTQoNgk4jwCNil7qXCpoZmVl8SyEXnJjc2cREK+FFl9Br4WzdE9pnU2AMRW90L9WQfP06dPcL+4FNzZ1NgExLmbMmAEeqe7sdUDpnUGAnope6FkC0ebNm0eDohfM2JQEMjMzIYb4+fPn1SPV5fuIFwmQgD0J0FMRoF5ZQTNAUGxGAt0QoNeiGzh8RAI2IEBPRYBKZIBmgKDYjAS6IUCvRTdw+IgEbECARkWASmSAZoCg2IwEeiAg9Suee+45tRrt5MmTkZubyyPVe2DGxyRgFQLc/ghAUwzQDAASm5BAEATke0uMisbGRmzcuBFyrggvEiAB6xKgpyIA3TFAMwBIbEICQRCIjY3Frl27VK9FfHw88vPz6bUIgiNfIQGzEKCnogdNMECzB0B8TAI6EaDXQieQ7IYEwkiAnooe4DNAswdAfEwCOhHQvBZSXI5eC52gshsSCDEBeip6AM4jznsAxMckYACBdevWqWW+hw4dip07d6qnoBowDLskARLQmQCNim6AMkCzGzh8RAIGETh37hxuuOEGNdbi448/xooVK7Bt2zbMnDmT5fENYs5uSUAvAjQquiHJI867gcNHJGAQAckGkeqbmzZtUkc4evQoFixYgJiYGPWwMtkm4UUCJGBOAjQq/OiFAZp+wPA2CRhIQAwIiaeoq6vrtOUh34/r16+n18JA9uyaBPQgwEBNPxQZoOkHDG+TgIEEnnzySfz85z/vZFDIcP369cPy5cvVI9XFg3jfffdBtid5kQAJmIsAjQo/+mAFTT9geJsEDCIg54JIEaz777/f7whypHpJSYlqdMTFxXUcr+73BT4gARIIKQFuf/jAzQBNH1B4iwQMJCDbG6mpqVi6dCnkfJBALilKl5eXhzFjxmDVqlU8PTgQaGxDAgYToKfCB2BW0PQBhbdIwEACr7/+utp7RkZGwKNoXouBAwdiyJAh9FoETI4NScA4AvRUeLFlgKYXEH5JAiEgkJSU1CsvhfeU5A8BOZxs3rx59Fp4w+HXJBBCAvRUeMFmgKYXEH5JAgYTOHjwIA4dOoTeeCm8pyRei9OnT6u36bXwpsOvSSB0BGhUeLFmgKYXEH5JAgYTKCgoUDM+JMOjL5ccqS61LYqKijBjxgz19FMppMWLBEggdARoVHiwlgDN/fv3Q0pz8yIBEjCegBHfcxLoKV4LKaA1ZcoUyNYILxIggdAQuOJJSQznpRKQI5gHDRqEBx54gERIgARCQMCo77moqChMnTpVLfd9zz334NKlS0hISGCZ7xDolEM4mwA9Fe36lwDNhQsXYvbs2c5eEZSeBEJEQL7ntm/fbuj3nOa1EI8IvRYhUiyHcTQBGhXt6meApqO/Dyh8GAgcPnxYDdAcN26coaNLrIV4RHJyctQMkfz8fIhBw4sESEB/AjQq2pkyQFP/xcUeSaA7ApWVlVizZk1ItiQkCDQrK0s9U6S6ulottCXnjPAiARLQlwDrVADqGQJS8leCu+SvGl4kQALGE4iIiEBVVRWSk5ONH8xjBPFS7NmzB9nZ2apRs2jRopAYNh5T4EcSsC0BeioANTpciubQoLDtOqdgJiOgeQmM3vrwJTa9Fr6o8B4J6EPA8UYFAzT1WUjshQR6Q+DYsWNq9cu+1qbozZjebWNjY9VYC0khl+PWGWvhTYhfk0DvCTjeqGCAZu8XDd8ggb4SkO+7CRMm9LWbPr8vRo0cqX7kyBHs27ePR6r3mSg7cDoBxxsVDNB0+rcA5Q81AfEOvvTSS7j99ttDPbTf8caOHQsJHJUzSCS+SlJdmSHiFxcfkIBfAo4O1OQR537XBR+QgGEEtO87KUgVzu0PfwJKvMeCBQsQExODtWvXQrZJeJEACQRGwNGeCh5xHtgiYSsS0JPABx98EPZ4iu7kodeiOzp8RgLdE3CsUcEAze4XBp+SgFEETpw4ge985ztGda9Lv1qsRWlpKTZs2KDGWjQ0NOjSNzshATsTcKxRwQBNOy9rymZmAn/84x8xYsSIIKb4BcqXJELqW7T9i8HkLSfg7uipGfVvrEd2TPvziUuwrbbJ4zkAdxOq12cjJiICMdnPo7rp6463fX2QI9VLSkrULRAeqe6LEO+RQGcCjjUqGKDZeSHwKxIIFQEJ0hw9enSvh3N/9hZ+taPW470U3JsyFG0/xL7GZ/t34De4C883KlBaG/Hu1M+xLHE+1tV+2f6OG80V/xcrzzyA2tZW1D/6NVb+nyo0e/To62N0dLQaWyFei6effhrz588HvRa+SPEeCaD9+9FhJIw4btlhCCkuCQRF4Ny5c0G9B3yJI7v248adZ6AoSvu/3ZgTe01bf+7P8IfrpuKxH8RigNyJdCHpsWVYnX4Y63YfbjcczqGm9DDG3hkPV2QkBvz9GIwtehM1zZd9Hd1NTvNaDBw4EPRadEeKz5xMwJGeCgZoOnnJU/ZwEvjiiy/U4XudUdF8GLvXbcfapwqwpbgC9S1ehkDkd5CWNqTzX0mRN2Lo2BgPcaOROHkcjr55BE1uN1r+8B6OzrgTiVGB/xj09FrMmDGDXgsPuvxIAkIg8O8mm/BigKZNFEkxHETgK9TvfQFrmwBUrMXcGRMRd08eiut72rgQRDcg47vD2rwXiERU2r/gqZt2IuGKKxD73FV46l9TEBUESfFayFlBconXQv5QCfzyjg3RYkTa/4/JRuFeH4ZT4AOwJQmEj4DisKu0tFQZP368cunSJYdJTnFJIPwEioqKlHnz5gU5kb8ojTWvKZtz0xUACtLWKTUXW/33deGAkpveQxv/bwf8RGSS+SxevFg5e/ZswO8pMj+XS0nffFzpkKK1UanZmqukAYora6tyvDv5Ah+JLUkgZAQc56lggGb4DFiOTAJCQGISgruugivhbsx55jU0HngSaRW/wu5qfzEaX6J246u4Kf9BJAww9sdcZmam6rU4f/48pkyZ0kuvhReJSBcSsn+KFzfPRNP2n+OXfuXzeo9fkoBJCBj73WYSIbVpMEBTI8H/ScDKBK6Ca9IjWJkL7Cg95iN7w42W2l9jd/Q8PJxwfUgElROON23ahKVLl2Ly5MnIzc1F8EGpIZkyByEBQwg4yqhggKYha4idkkAYCAzA4Lg43BoX0x4vcXkK7s9KsOmDFKycM7rLs8utjPkkXou6ujrIHzDBeS2+RlPtHmzeUQVX1kI8mBRtzETZKwkYRMAxRgUDNA1aQeyWBMJCoAUNJ2/Fkh/Fdoo2dzeV49nd1+CfZmkGhRstJ/ZiS0Vb1kkopqodqZ6Tk6N6LVauXNnN4WRNKJs7Eld0FPS6GjGJWVhbNxs7fz4LIwzeugkFD47hLAKOMSpYQdNZC5vS2oiAuwm1+3+LWq36pVoVcx0q7pyFtI50UDda6oux7P4H8PjjdyDmCi2j4gpcO3I3EKNWrwgZFC0zZObMmVi9ejUaGxv9jO1C+ubjaNVqb7Q2oqaoAFn4d9wxYj62nAgkw8VP17xNAmEg4BijggGaYVhdHJIEdCHgxoV3n0VizNWIiLgV2eveQstdS/GzSYM6vBTuz/bhsbQZWFsheadeV/oUpAxvL5Ll9UivL8UTevDgQeTn53ccny5/yNx9993qdsiwYcMCG0oCNTOfwC8rNiO9aQvmPrYX9V4lOQLriK1IIDwErgzPsKEdVQvQlIOBeJEACViMQOQgTMovhZLvf96RgzKxuVHBZv9NdH8ipbqrq6vx+uuvQ0qPy7VmzRqsX78eI0eOhBTKCvaKvHkoxrqAsvdPoqHFjdgOj0ywPfI9EggNAUcYFQzQDM1i4igkYGcC4o04fPgwjhw5gu3bt+PQoUOYNm0aJDjzkUcegRyZrtflvvgl1CiQW4djMOMq9MLKfkJAwPZGhRagWVVVFQKcHIIESMBOBMQb8eGHH+LNN99EQUGBKpp4IyROIjExsU/eCN+cJPvjP/Gr51ZhS1M6lu2cjOGO2aT2TYR3rUXA9kYFAzSttSA5W/sTkO1IM19Hjx6F/BEihsT+/ftVb8Sdd96peiji4uLQr1+/Pk5fynRPwR1r209cleyPuZ5dupCW+1Psq7kb9yS4OuJGPFvwMwmYlUCE1O406+T0mNf06dMhPxAkvYsXCZBAeAmIQSG/mM30Y0eKVNXU1Kj/VqxYoQKaN28eJHNj1KhRkMJWvEiABAIjYGujQvsBJuld/MEQ2IJgKxIwkoD2PRluo0K8EceOHUNxcbHqjRg/fjyysrIQHx+PcePG6eCNMJIi+yYB8xKwtVEh2R7vvfeeWj7XvCrgzEjAOQQkxql///5qmmWvjz/vAybxRhw/fhyVlZXYt2+fGmQp3oiMjAw1BZR/dPQBLl8lAQ8CtjUqtB9esjeanJzsITI/kgAJhJNARESEGp+gZ7aEL3nEK/LOO+9A4qok5VO8EbIdmpqa2ueUT1/j8R4JkABg20BNBmhyeZOAOQksXrwYH3/8sa4pmCJpdymfMmYoPSPmJM9ZkYDxBGxrVLCCpvGLhyOQQDAEvvWtb+HEiRPBvNrlHX8FqIxL+ewyBd4gARLwIGDL7Q8tGIwBmh6a5kcSMAkBKUYnRr/ENvT2Em+EnALqnfIpBahuu+023b0fvZ0f25OA0wnY0qhggKbTlzXlNzMBzei/dOlSQFkWvgpQyXaGpIoz5dPMmubcnEjAdkYFAzSduIwps9UI9BSs6Z3yKeWwxYhISUlR61z0vQCV1YhxviRgDQK2i6lggKY1Fh5n6WwC4mmQOhFaBoi/AlRSO0I8j0z5dPZ6ofTWIWA7o4IBmtZZfJypcwncfvvt+PWvf60C8Ez5FCNC4iVYgMq5a4OSW5uArbY/tL1aBmhae1Fy9vYk4FmAavfu3WphOilANWHCBIiRwZRPe+qdUjmLgK08FTzi3FmLl9Kan4B3yqdWgOr5559nASrzq48zJIFeE7CNp4IBmr3WPV8gAd0JdFeAiimfuuNmhyRgOgK28VQcPnxYLcMre7G8SIAEQkfAV8rnmjVrwAJUodMBRyIBsxCwjVGxdetW9ZRBppqZZWlxHnYl4K8AlaR8HjlyhCmfdlU85SKBAAjYYvtD/lIaMmQIGKAZgMbZhASCIOAr5ZMFqIIAyVdIwOYEbOGpkHK/EkXOXHabr1aKF1IC3gWoJMiSKZ8hVQEHIwHLEbC8p0JcsXKU8fr163nEueWWHydsJgKeKZ9iqB86dEg11jMyMpCUlESj3UzK4lxIwKQELO+pkABNuRigadIVxmmZmoDUdnnnnXfgWYBq+vTpqpE+cuRIREdHm3r+nBwJkIC5CFjeUzF//nyMGTMGOTk55iLL2ZCACQn4SvlkASoTKopTIgGLErC0UcEATYuuOk47pAS8C1DJ4JLymZiYqP6jNyKk6uBgJGBrApY2KnjEua3XJoULkoC/lM/MzEywAFWQUPkaCZBAQAQsa1QwQDMg/bKRQwj4KkDFlE+HKJ9ikoCJCFg2UJMBmiZaRZxKWAh4p3xOmzYNLEAVFlVwUBIggXYClvVUMECTa9hpBHwVoJIgS6Z8Om0lUF4SMC8BSxoVDNA074LizPQl4CvlUwpQxcfHq2nULEuvL2/2RgIk0DcCljQqGKDZN6XzbfMS8FeAasKECbj99tsRGxtr3slzZiRAAo4nYDmjggGajl+ztgPgnfIp5bClAJVUimUBKtupmwKRgK0JWC5QkwGatl6PjhDOVwEqCbKUlM9HHnkEY8eOdQQHCkkCJGA/ApbzVDBA036L0AkSaSmfe/bswUsvvaSKzAJUTtA8ZSQBZxGwlFHBAE1nLU4rS+uvAJWkfKakpNAbYWXlcu4kQAJ+CVjKqGCApl898oEJCPhK+WQBKhMohlMgARIIGQHLxFTIX37bt29XT08MGR0ORAI9EPAuQCVBlpLyWVVVxZTPHtjxMQmQgP0IWMaoYICm/RafFSXyTPlcsWKFKoIUoBJDQjxpgwcPtqJYnDMJkAAJ6ELAMkbF1q1b1R/cLPaji97ZSS8I+CpAJSmf9Eb0AiKbkgAJOIKAJWIqGKDpiLVoGiF9pXyKN4IFqEyjIk6EBEjApAQsYVQwQNOkq8dG0/IuQCWiMeXTRgqmKCRAAiEhYHqjQv5qlMqC69evR3JyckigcBD7E/BM+ZQA4EOHDkErQHXbbbcx5dP+S4ASkgAJGEDA9DEVDNA0QOsO7VIrQPXmm2+ioKBApSApn6tXr0ZiYiKio6MdSoZikwAJkIA+BExvVDBAUx9FO7UX75RP8UZIAaojR44gLi4ODPx16sqg3CRAAkYQMPX2BwM0jVC5vfv0VYBKgiwzMjKQlJTElE97q5/SkQAJhJmAqT0V+/btg/xCYO5/mFeJyYfXUj6Li4uxf/9+sACVyRXG6ZEACdiWgGk9FQzQtO2a67NgngWoxPCUIEst5XPSpEk0QvtMmB2QAAmQQHAETOupYIBmcAq161veKZ/ijZACVJIVNHLkSAZZ2lXxlIsESMBSBEzrqeAR55ZaR7pP1lcBKqZ86o6ZHZIACZCArgRMaVQwQFNXHVumMy3lc8+ePXjppZfUebMAlWXUx4mSAAmQAEy5/cEATWesTM8CVFI7QoIsPVM+x44d6wwQlJIESIAEbELAdJ4KBmjaZGX5EcNXyqcUoJLaEaNGjWKQpR9uvE0CJEACViBgOk8FAzStsGx6N0fvAlRM+ewdP7YmARIgAasQMJ2nggGaVlk6/ufpmfK5YsUKtSELUPnnxSckQAIkYBcCpjIqGKBp3WWlFaB6++231SBLLeVTDoMbN24cy2FbV7WcOQmQAAkETCAy4JYhaMgAzRBA1mkIiX05ePAg8vPz1fLXco6GGBQTJkxAXV0dqqursXz5cvVk2fCer/EFypckIiIiouu/yVtQ79aAfI2m2h1YMjFGbReTvR5v1DdrD/k/CZAACZBAAARMY1TILyk5gnr27NkBTJtNwkFAPElSClu2qPr374+UlBR1GnLK59mzZ7Fp0yZkZWUhNjY2HNPzPWbzMZTuqPXxzIX0e7+H4ep3gBsttc9j9nPNmPHyKSjKBZSnfoDstOUo/uxrH+/yFgmQAAmQgC8CpjEqGKDpSz3hvSeGngRZbtiwQfVGDBkyRDX8xBshp3wqiqJ6I9LT001a0dKN5poPcPXOBrQqijpfmbOinMGB3Km4N2Uo2myKeuxevhdjs+9FkusqAFEYMfvfsCGjEjnPVYH+ivCuQ45OAiRgHQKmMSp4xLk5Fo14I8rKypCbm6t6I+Lj4/Hpp59C80bIFpV4I6xRQ+Ib/GnwNOROGtRmPLQjdte/imeOJiFl+DXqHffJ/8IrZYMQN3jAZSVE/h1GJ49E0443UdPcsUdy+Tk/kQAJkAAJdCFgipRS+UUmFRRPnz7dZYK8YTwB8UZUVVXBVwEqiZUIb0xEX+S/Cq7Yb3t18BVOVh3E4If+7fLWR8NJvA/g3k4tr8LNQ4fD1XQSpz7/GohqM0A6NeEXJEACJEACnQiYwqhggGYnnRj+ha8CVJLy+ZOf/ETd6rD1UfPuU6gqHoR/fnlIu/ciEgMGD8et2IpXqk5hduyITl4NuIZj6M2yJcKLBEiABEigJwJh3/5ggGZPKtLnuaR8SiCsnOx5ww03IC8vD1FRUaqH4tKlS2qQpcRG2NqgACBbHcX/kIbEqMtLPzJ2KpbkxqAsrwBbT7RFULibavAfpbVounU4Bg+43FYfbbAXEiABErAngbB7KhigaczC8ixAJZ6gQ4cOQbwRmZmZ9vdG+EUqWx/V+IfJUxHVqc2NmLTyZZTdtAbZI6/DXFcWCp5LwZnqj5A+S8sQ6fQCvyABEiABEvBBIOzFr1hB04dWgrwlsSnl5eVqvQiJUfEsQDVy5EiTZmgEKWwwr7lPYMvUlzH05ScxycNT4asrd/0WZKSdxJITq3ts6+t93iMBEiABJxIIq6eCAZp9W3KydSSeHknvlK0N8UbIKZ/ijZBDukxVL6Jvourytrb18XJPBkXTG8h76DX84LVf0qDQhTw7IQEScAqBsBoVDNDs/TITQ+zDDz/Enj171IwZ6WHNmjVqymdiYiK9EX6R+tv68HihpR7lJa9i29L3MfblX+CxhOs9HvIjCZAACZBATwTCZlRoAZrr16/vaY6Ofi6cpOy1v5RPa9SLMIEKJevj4Cj8+MfRXSfTXI4lI+7A2qZ05G5eghVHH0csgzO7cuIdEiABEuiBQNhiKuTciEWLFqGystLCdRB6oBvkYy3lU+pGFBQUqL3Idsadd96JUaNG2T5DI0hsfI0ESIAESCDMBMLmqWAFzc6alwJUx44dU8/W2L9/vxpkKZUrJV7C2gWoOsvJr0iABEiABOxLICyeCokLkHMkpIKm3esi+Fs6nimfK1asUJtJymdGRoZ6zoZTufjjxfskQAIkQALmJxAWT4VTAzSlANU777zTJeVT4iXGjRvHbSDzf79whiRAAiRAAt0QCLmnQgIPU1NTIQGaycnJ3UzN+o+0lE+JG/EsQCWnfN5+++1M+bS+iikBCZAACZCAB4GQeyrsXkFTtnaqq6vx+uuvd0r5FCOKBag8Vh4/kgAJkAAJ2I5AyD0Vdqug6Zny6V2A6rbbbrPIEeG2W9cUiARIgARIIAwEQmpU2CVAUytA5SvlkwWowrCKOSQJkAAJkIApCIR0+8PKAZqS8umvABVTPk2xljkJEiABEiCBMBMImafCagGaWgGqmpoaeKZ8zpw5kwWowrxoOTwJkAAJkIA5CYTMqJAKmikpKbh06ZJpUye1lM/i4mJ4FqCKj49nyqc51y9nRQIkQAIkYCICITMqzBig6VmAyjvlc9KkSY4tzGWi9cmpkAAJkAAJWIhASIwKLUBTDsYK93HcMpfy8vIuBaikdgZTPi20cjlVEiABEiAB0xEIiVGxYcMGSKaEeANCfWkFqOQMDe+UTxagCrU2OB4JkAAJkICdCRhuVGgBmqtXr0Z6enpIWIo3wlcBKkn3ZMpnSFTAQUiABEiABBxIwHCjIhQBmp4FqMQjIkGW06ZNU48Kl+DQsWPHOlC1FJkESIAESIAEQkvAcKPCqABNLeXTVwGqUaNGMcgytOuIo5EACZAACZAADDUq9A7QlAJUx44dg3fKp3gjWICKq5kESIAESIAEwkvAUKOirwGamjfCuwBVRkYGkpKS6I0I79rh6CRAAiRAAiTQiYBhZbolzkGyLSRAszeXVoDq7bffVk/5HD9+PLKystQS2ePGjTNt4azeyMi2JEACJEACJGBHAoZ5KgIN0NRSPisrK9WU00OHDmHevHmYMGECmPJpxyVHmUiABEiABOxKoHujwv0JiufPwIvJO/H6nBGI7AWF7gI0/aV8sgBVLwCzKQmQAAmQAAmYjEC3RoW7fgsy4uaiLH0z6l6fg9gArQrvAE3NG+GrANVtt93GlE+TLQpOhwRIgARIgASCIdCNmfAljrz635hY8AhcZSWoOvlVwP1L5UwpdHXq1Cnk5uaif//+6mFizc3NaozF2bNn1a0OiZVgDYmAsbIhCZAACZAACZiagP9AzebD2F3xD5i7cyjOr7sDeZsfxo+emYSoAMTZu3cvJEaiX79+agEq8VAw5TMAcGxCAiRAAiRAAhYm4Gf74yvUb/lXbB66Gs9MAsqXTMEdO9Jx4MRqTIrqxrnRDkJSQeWI88GDB1sYDadOAiRAAiRAAiTQGwK+LQT3KVQdHIUfJ0UDuBFpc3+C9KYylNacC6jv6OhoGhQBkWIjEiABEiABErAPAR9GhRvNFS+jODkd8QPaHkcO/x7uTW/Ejl+9hc/c9hGekpAACZAACZAACehHwMf2xxdt2x1ra32MMhOb67ZjTuw1Pp7xFgmQAAmQAAmQgJMJdPFUuOtfxTqsxQVFgeLxr7WhCHNcVXil6hTorHDykqHsJEACJEACJOCbgJdRIWmkdcic+70uWR6Rg76Pf54Vg7JX/gsnaVX4psm7JEACJEACJOBgAh5GxddoKn8WT6y7AkNvvsoHkgEYHHcLUJaHh/LeQBMNCx+MeIsESIAESIAEnEugPaZCUkizEDd3TzsJ79gJ7+cAXMsCTjF1Ll5KTgIkQAIkQALOIeAjUNM5wlNSEiABEiABEiAB/Qh4bH/o1yl7IgESIAESIAEScB4BGhXO0zklJgESIAESIAFDCNCoMAQrOyUBEiABEiAB5xH4/1AsI5+WYmY0AAAAAElFTkSuQmCC"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the length of side AC in km.</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 area of the park.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Julio is making a wooden pencil case in the shape of a large pencil. The pencil case consists of a cylinder attached to a cone, as shown.</p>
<p>The cylinder has a radius of <em>r</em> cm and a height of 12 cm.</p>
<p>The cone has a base radius of <em>r</em> cm and a height of 10 cm.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find an expression for the slant height of the cone <strong>in terms of <em>r</em></strong>.</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>The total external surface area of the pencil case rounded to 3 significant figures is 570 cm<sup>2</sup>.</p>
<p>Using your graphic display calculator, calculate the value of <em>r</em>.</p>
<div class="marks">[4]</div>
<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" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the radius of the base of the cone which has been removed.</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 curved surface area of the cone which has been removed.</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 curved surface area of the remaining solid.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Temi’s sailing boat has a sail in the shape of a right-angled triangle, \({\text{ABC}}{\text{.}}\,\,\,{\text{BC}} = \,\,5.45{\text{m}}\),<br>angle \({\text{CAB}} = {76^{\text{o}}}\) and angle \({\text{ABC}} = {90^{\text{o}}}\).</p>
<p>Calculate \({\text{AC}}\), the height of Temi’s sail.</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><img 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" alt></p>
<p>William also has a sailing boat with a sail in the shape of a right-angled triangle, \({\text{TRS}}\).<br>\({\text{RS}}\,\,{\text{ = }}\,\,{\text{2}}{\text{.80m}}\). The area of William’s sail is \({\text{10}}{\text{.7}}\,{{\text{m}}^2}\).</p>
<p>Calculate \({\text{RT}}\), the height of William’s sail.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>FreshWave brand tuna is sold in cans that are in the shape of a cuboid with length \(8\,{\text{cm}}\), width \({\text{5}}\,{\text{cm}}\) and height \({\text{3}}{\text{.5}}\,{\text{cm}}\). HappyFin brand tuna is sold in cans that are cylindrical with diameter \({\text{7}}\,{\text{cm}}\) and height \({\text{4}}\,{\text{cm}}\).</p>
<p><img 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" alt></p>
<p>Find the volume, in \({\text{c}}{{\text{m}}^3}\), of a can of</p>
<p>i) FreshWave tuna;</p>
<p>ii) HappyFin tuna.</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>The price of tuna per \({\text{c}}{{\text{m}}^3}\) is the same for each brand. A can of FreshWave tuna costs \(90\) cents.</p>
<p>Calculate the price, in cents, of a can of HappyFin tuna.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The planet Earth takes one year to revolve around the Sun. Assume that a year is 365 days and the path of the Earth around the Sun is the circumference of a circle of radius \(150000000{\text{ km}}\).</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>Calculate the distance travelled by the Earth in <strong>one day</strong>.</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>Give your answer to part (a) in the form \(a \times {10^k}\) where \(1 \leqslant a \leqslant 10\) and \(k \in \mathbb{Z}\) .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br>