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class="pull-right" style="color: #555" title="Suggested study time: 30 minutes"><i class="fa fa-clock-o"></i> 30'</span> </ol> <article id="main-article"> <div class="intro-card" readonly="false"><img class="intro-image" readonly="true" src="../../averages-1.png"> <div class="content" readonly="true"> <p class="text">This page contains your first weekly quiz! Each week of July and August a new quiz will be published, so that you can make sure you are ready to start the Maths AI course in September with confidence. </p> <p class="text">Good luck and let us know how you got on!</p> </div> </div> <div class="tib-quiz" data-stats="15-913-2812"><div class="label label-default q-number">1</div><div class="exercise shadow-bottom"><div class="q-question"><p>If <span class="math-tex">\(\frac { 5 }{ { a }^{ 4 } } \times { 3a }^{ 8 }=m{ a }^{ n }\)</span>, what are the values of <span class="math-tex">\(m\)</span> and <span class="math-tex">\(n\)</span>? </p></div><div class="q-answer"><p>m = <input type="text" style="height: auto;" data-c="15"> <span class="review"></span> </p><p>n = <input type="text" style="height: auto;" data-c="4"> <span class="review"></span> </p></div><div class="q-explanation"><span class="math-tex">\(\frac { 5 }{ { a }^{ 4 } } \times { 3a }^{ 8 }=5{ a }^{ -4 }\times { 3a }^{ 8 }=15{ a }^{ -4+8 }=15{ a }^{ 4 }\)</span></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">2</div><div class="exercise shadow-bottom"><div class="q-question"><p>Consider the linear model, f(x) = 3.56x -1.7, what is the value of x when f(x) = 69.5?</p></div><div class="q-answer"><p> <input type="text" style="height: auto;" data-c="20"> <span class="review"></span> </p></div><div class="q-explanation"><p> Substitute 69.5 into your equation and rearrange to solve, or input y = 3.56x - 1.7 in to your GDC and read from the table.</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">3</div><div class="exercise shadow-bottom"><div class="q-question"><p>Which of the following is 6504905 correctly rounded to 3 significant figures</p></div><div class="q-answer"><p><label class="radio"> <input class="c" type="radio"> 6500000</label></p><p><label class="radio"><input type="radio">6505000</label></p><p><label class="radio"> <input type="radio">6510000</label></p><p><label class="radio"><input type="radio">650 </label></p></div><div class="q-explanation"><p>6500000 - the third non zero digit is 0, which stays the same because of the 4 that follows</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">4</div><div class="exercise shadow-bottom"><div class="q-question"><p>What is the distance between coordinates A and B?</p><p>A: (3,5)</p><p>B:(5, 7)</p></div><div class="q-answer"><p> <input type="text" style="height: auto;" data-c="2.83"> <span class="review"></span></p></div><div class="q-explanation"><p>Use Pythagoras to calculate this:</p><p><span class="math-tex">\(\sqrt{\left(\left(5-3\right)^{2}+\left(7-5\right)^{2}\right)}=2.828...\)</span></p><p>which rounds to 3sf to 2.83</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">5</div><div class="exercise shadow-bottom"><div class="q-question"><p>Rearrange the equation <span class="math-tex">\(y=3x+4\)</span> to make <span class="math-tex">\(x\)</span> the subject</p></div><div class="q-answer"><p>x= <input type="text" style="height: auto;" data-c="(y-4)/3"> <span class="review"></span> </p></div><div class="q-explanation"></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">6</div><div class="exercise shadow-bottom"><div class="q-question"><p>A linear function has a y - intercept of 2.5 and a gradient of 1.5, which of the following is it?</p></div><div class="q-answer"><p><label class="checkbox"><input type="checkbox"> <span class="checkbox"><img align="middle" alt="f left parenthesis x right parenthesis equals 5 over 2 x plus 3" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»5«/mn»«mn»2«/mn»«/mfrac»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/math»" src="../../../ckeditor/plugins/wiris/integration/showimage-22.php?formula=701afb6e9b8b66f20db4546a033dce39.png"></span></label></p><p><label class="checkbox"><input class="c" type="checkbox"> <span class="checkbox"><span class="checkbox"><img align="middle" alt="f left parenthesis x right parenthesis equals 3 over 2 x plus 5 over 2" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«mi»x«/mi»«mo»+«/mo»«mfrac»«mn»5«/mn»«mn»2«/mn»«/mfrac»«/math»" src="../../../ckeditor/plugins/wiris/integration/showimage-23.php?formula=50b40f83da4c5d0c5189c544a88512d7.png"></span></span></label></p><p><label class="checkbox"><input type="checkbox"> <span class="checkbox"><span class="checkbox"><img align="middle" alt="f left parenthesis x right parenthesis equals 3 x plus 2.5" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mo».«/mo»«mn»5«/mn»«/math»" src="../../../ckeditor/plugins/wiris/integration/showimage-24.php?formula=62d42732204aa9a95b44d0d242bff9f0.png"></span></span></label></p></div><div class="q-explanation"></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">7</div><div class="exercise shadow-bottom"><div class="q-question"><p>a) What is the volume of the cuboid in the diagram below?</p><p>b) What is its surface area?</p><p style="text-align: center;"><img alt="" src="../../files/GT/vsa/q1.jpg" style="width: 250px; height: 240px;"></p></div><div class="q-answer"><p>Write a number only</p><p>a) Volume = <input type="text" style="height: auto;" data-c="60"> <span class="review"></span> cm<sup>3</sup></p><p>b) Surface area = <input type="text" style="height: auto;" data-c="104"> <span class="review"></span> cm<sup>2</sup></p></div><div class="q-explanation"><p>The volume of the base is 5 x 2, then multiply by the height, 6, giveives volume = 5 x 2 x 6</p><p>b) 2 faces are 5 x 2, 2 faces are 6 x 2 and 2 faces are 5 x 6, giving a total of 20 + 24 + 60 = 104cm<sup>2</sup></p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="totals"><span class="score"></span><button class="btn btn-success btn-block text-center check-total"><i class="fa fa-check-square-o"></i> Check</button></div></div><hr> <div class="page-container panel-self-assessment" data-id="2812"> <div class="panel-heading">MY PROGRESS</div> <div class="panel-body understanding-rate"> <div class="msg"></div> <label class="label-lg">Self-assessment</label><p>How much of <strong>Pre-IB Weekly Quiz 1</strong> have you understood?</p><div class="slider-container text-center"><div id="self-assessment-slider" class="sib-slider self-assessment " data-value="1" data-percentage=""></div></div> <label class="label-lg">My notes</label> <textarea name="page-notes" class="form-control" rows="3" placeholder="Write your 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