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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 second 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="15-914-2814"><div class="label label-default q-number">1</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">2</div><div class="exercise shadow-bottom"><div class="q-question"><p>Evaluate, <span class="math-tex">\(\frac{\left(3.42\times2.54\right)}{2.67}\)</span> , rounding to three significant figures</p></div><div class="q-answer"><p> <input type="text" style="height: auto;" data-c="3.25"> <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">3</div><div class="exercise shadow-bottom"><div class="q-question"><p>If <span class="math-tex">\({ a }^{ 3 }\times { a }^{ 4 }={ a }^{ n }\)</span>, what is <span class="math-tex">\(n\)</span>?</p></div><div class="q-answer"><p>n = <input type="text" style="height: auto;" data-c="7"> <span class="review"></span> </p></div><div class="q-explanation"><p><span class="math-tex">\({ a }^{ m }\times { a }^{ n }={ a }^{ m+n }\)</span></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>If <span class="math-tex">\(50+90c=100\)</span>, what is the value of <span class="math-tex">\(c\)</span>? (<em>to 3sf</em>)</p></div><div class="q-answer"><p>c = <input type="text" style="height: auto;" data-c="0.556"> <span class="review"></span> </p></div><div class="q-explanation"><p>1. Subtract 50 from both sides. </p><p>2. divide both sides by 90. </p><p>3. Remember to round to three significant figures!</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>If <span class="math-tex">\(2t-4=4t-6\)</span>, what is the value of <span class="math-tex">\(t\)</span>? (<em>to 3sf</em>)</p></div><div class="q-answer"><p>t= <input type="text" style="height: auto;" data-c="1"> <span class="review"></span> </p></div><div class="q-explanation"><p>1.Subtract 2t from both sides </p><p>2. Add 6 to both sides</p><p>3. Divide both sides by 2</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">6</div><div class="exercise shadow-bottom"><div class="q-question"><p>What is the distance between coordinates A and B?</p><p>A: (-2,-5)</p><p>B:(5, 7)</p></div><div class="q-answer"><p> <input type="text" style="height: auto;" data-c="14.4"> <span class="review"></span></p></div><div class="q-explanation"><p>Use Pythagoras to calculate this:</p><p><span class="math-tex">\(\sqrt{\left(\left(5--3\right)^{2}+\left(7--5\right)^{2}\right)}=14.4...\)</span></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">7</div><div class="exercise shadow-bottom"><div class="q-question"><p>What is the longest length of a triangle with shorter sides 5 and 8?</p></div><div class="q-answer"><p> <input type="text" style="height: auto;" data-c="9.43"> <span class="review"></span></p></div><div class="q-explanation"><p>Use Pythagoras to calculate this:</p><p><span class="math-tex">\(\sqrt{\left(5^{2}+8^{2}\right)}\)</span></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">8</div><div class="exercise shadow-bottom"><div class="q-question"><p>Rearrange the equation <span class="math-tex">\(y=0.5x+4\)</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="2y-8"> <span class="review"></span> </p></div><div class="q-explanation"><p>1. Subtract 4 from boths ides. </p><p>2. Divide both sides by 0.5, which is equivalent to multiplying both sides by 2. </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">9</div><div class="exercise shadow-bottom"><div class="q-question"><p>What is the equation of the line that crosses through the coordinates (3,3) and (0,-3), written in the form <span class="math-tex">\(y=mx+c\)</span></p></div><div class="q-answer"><p>y= <input type="text" style="height: auto;" data-c="2x-3"> <span class="review"></span> </p></div><div class="q-explanation"><p>1. Find the gradient first</p><p>2. 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