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</div><h2>SL Paper 1</h2><div class="question">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">Which of the following will reduce random errors in an experiment?</div>
<div class="column"> </div>
<div class="column">A. Using an instrument having a greater precision</div>
<div class="column">B. Checking the calibration of the instrument used</div>
<div class="column">C. Checking for zero error on the instrument used<br>D. Repeating readings</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">The best estimate for the time it takes light to cross the nucleus of the hydrogen atom is</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\({10^{ - 23}}{\text{ s}}\).</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\({10^{ - 20}}{\text{ s}}\).</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\({10^{ - 15}}{\text{ s}}\).</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\({10^{ - 7}}{\text{ s}}\).</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Which is a unit of force?</p>
<p>A. J m</p>
<p>B. J m<sup>–1</sup></p>
<p>C. J m s<sup>–1</sup></p>
<p>D. J m<sup>–1</sup> s</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">Which of the following is a derived unit?</p>
<p class="p1">A. Mole</p>
<p class="p1">B. Kelvin</p>
<p class="p1">C. Coulomb</p>
<p class="p1">D. Ampere</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">Which of the following is equivalent to the joule?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\({\text{N}}\,{{\text{m}}^{\text{2}}}\)</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\({\text{N}}\,{{\text{m}}^{ - 2}}\)</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\({\text{kg}}\,{\text{m}}\,{{\text{s}}^{ - 2}}\)</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\({\text{kg}}\,{{\text{m}}^{\text{2}}}{{\text{s}}^{ - 2}}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A boy jumps from a wall 3m high. What is an estimate of the change in momentum of the boy when he lands without rebounding?</p>
<p>A. 5×10<sup>0 </sup>kg m s<sup>–1</sup> </p>
<p>B. 5×10<sup>1 </sup>kg m s<sup>–1</sup> </p>
<p>C. 5×10<sup>2 </sup>kg m s<sup>–1</sup> </p>
<p>D. 5×10<sup>3 </sup>kg m s<sup>–1</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The acceleration of free fall <em>g</em> is determined by the relationship \(g = \frac{{4{\pi ^2}l}}{{{t^2}}}\). The uncertainty in the value of <em>l</em> is 2% and the uncertainty in the value of <em>t</em> is 5%. What is the uncertainty in <em>g</em>?</p>
<p>A. 3%<br>B. 7%<br>C. 8%<br>D. 12%</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">Response B proved to be a popular distracter, particularly at SL, with candidates failing to spot that squaring the time doubles its uncertainty. </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p>The resistive force <em>F</em> acting on a sphere of radius <em>r</em> travelling with speed <em>v</em> through a liquid is given by the equation</p>
<p>\[F = 6\pi \eta rv\]</p>
<p>where \(\eta \) is a constant. What are the SI units of \(\eta \)?</p>
<p>A. kgm<sup>–1</sup>s<sup>–2</sup><br>B. kgm<sup>2</sup>s<sup>–1</sup><br>C. kgm<sup>–1</sup>s<sup>–1</sup><br>D. kg<sup>–1</sup>s<sup>–3</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The sides of a square are measured to be 5.0 ± 0.2 cm. Which of the following gives the area of the square and its uncertainty?</p>
<p>A. 25.0 ± 0.2 cm<sup>2</sup><br>B. 25.0 ± 0.4 cm<sup>2</sup><br>C. 25 ± 2 cm<sup>2</sup><br>D. 25 ± 4 cm<sup>2</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">A number of candidates opted for B. Candidates appeared to have added the absolute uncertainty rather than adding the relative uncertainty as the approximation for finding the uncertainty in multiplication. </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p>Which of the following lists two vector quantities and one scalar quantity?</p>
<p>A. force, mass, time<br>B. acceleration, energy, momentum<br>C. distance, impulse, power<br>D. density, pressure, temperature</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A small object is attached to a string and rotated in a circle of constant radius in a horizontal plane. The tension <em>T</em> in the string is measured for different speeds <em>v</em>. Which of the following plots should give a straight-line graph?</p>
<p>A. <em>T</em> against <em>v</em></p>
<p>B. <em>T</em><sup>2</sup> against <em>v</em></p>
<p>C. <em>T</em> against <em>v</em><sup>2</sup></p>
<p>D. <em>T</em><sup>2</sup> against <em>v</em><sup>2</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A stone falls from rest to the bottom of a water well of depth <em>d</em>. The time t taken to fall is 2.0 ±0.2 s. The depth of the well is calculated to be 20 m using <em>d</em> = \(\frac{1}{2}\)<em>at </em><sup>2</sup>. The uncertainty in a is negligible.</p>
<p>What is the absolute uncertainty in <em>d</em>?</p>
<p>A. ± 0.2 m</p>
<p>B. ± 1 m</p>
<p>C. ± 2 m</p>
<p>D. ± 4 m</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">The length of each side of a sugar cube is measured as 10 mm with an uncertainty of \( \pm 2{\text{ mm}}\). Which of the following is the absolute uncertainty in the volume of the sugar cube?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\( \pm 6{\text{ m}}{{\text{m}}^{\text{3}}}\)</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\( \pm 8{\text{ m}}{{\text{m}}^{\text{3}}}\)</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\( \pm 400{\text{ m}}{{\text{m}}^{\text{3}}}\)</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\( \pm 600{\text{ m}}{{\text{m}}^{\text{3}}}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">A majority of candidates clearly had not translated the absolute uncertainties into percentages.</p>
</div>
<br><hr><br><div class="question">
<p>Which of the following lists three vector quantities?</p>
<p>A. momentum, electric field strength, displacement<br>B. momentum, displacement, pressure<br>C. pressure, electric current, displacement<br>D. electric current, electric field strength, impulse</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>It should be noted that ‘electric field strength’ is a vector quantity.</p>
</div>
<br><hr><br><div class="question">
<p>Which of the following expresses the watt in terms of fundamental units?</p>
<p>A. kg m<sup>2</sup> s</p>
<p>B. kg m<sup>2</sup> s<sup>-1</sup></p>
<p>C. kg m<sup>2</sup> s<sup>-2</sup></p>
<p>D. kg m<sup>2</sup> s<sup>-3</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Which of the following is a fundamental unit?</p>
<p>A. Ampere</p>
<p>B. Coulomb</p>
<p>C. Ohm</p>
<p>D. Volt</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The maximum acceleration <em>a</em><sub>max</sub> of an oscillator undergoing simple harmonic motion (SHM) has a percentage uncertainty of 12%. The amplitude <em>x</em><sub>0</sub> of the oscillation has a percentage uncertainty of 20%. If \(k = \sqrt {\frac{{{a_{\max }}}}{{{x_0}}}} \) what is the percentage uncertainty in the constant <em>k</em>?</p>
<p>A. 4%</p>
<p>B. 8%</p>
<p>C. 16%</p>
<p>D. 32%</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">It was surprising to see the number of candidates who clearly did not realise that the square root involves halving the percentage uncertainty. </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p>How many significant figures are there in the number 0.0450?</p>
<p>A. 2</p>
<p>B. 3</p>
<p>C. 4</p>
<p>D. 5</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The radius of a sphere is measured with an uncertainty of 2%. What is the uncertainty in the volume of the sphere?<br>A. 2%<br>B. 4%<br>C. 6%<br>D. 8%</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 13">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">Consideration of units leads to C. It is not necessary to know the formula for the volume of a sphere. </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p>Which of the following is a scalar quantity?</p>
<p>A. Velocity<br>B. Momentum<br>C. Kinetic energy<br>D. Acceleration</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A student measures the radius <em>r </em>of a sphere with an absolute uncertainty Δ<em>r</em>. What is the fractional uncertainty in the volume of the sphere?</p>
<p>A. \({\left( {\frac{{\Delta r}}{r}} \right)^3}\)</p>
<p>B. \(3\frac{{\Delta r}}{r}\)</p>
<p>C. \(4\pi \frac{{\Delta r}}{r}\)</p>
<p>D. \(4\pi {\left( {\frac{{\Delta r}}{r}} \right)^3}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What is the unit of energy density?</p>
<p>A. J kg<sup>−1</sup></p>
<p>B. J kg<sup>−1</sup> m<sup>3</sup></p>
<p>C. J mol<sup>−1</sup></p>
<p>D. J K<sup>−1</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A swimming pool contains 18×10<sup>6</sup> kg of pure water. The molar mass of water is 18gmol<sup>–1</sup>. What is the correct estimate of the number of water molecules in the swimming pool?</p>
<p>A. 10<sup>4</sup><br>B. 10<sup>24</sup><br>C. 10<sup>25</sup><br>D. 10<sup>33</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>An object is positioned in a gravitational field. The measurement of gravitational force acting on the object has an uncertainty of 3 % and the uncertainty in the mass of the object is 9 %. What is the uncertainty in the gravitational field strength of the field?</p>
<p>A. 3 %</p>
<p>B. 6 %</p>
<p>C. 12 %</p>
<p>D. 27 %</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A river flows north. A boat crosses the river so that it only moves in the direction east of its starting point.</p>
<p>What is the direction in which the boat must be steered?</p>
<p> <img src="images/Schermafbeelding_2018-08-10_om_15.46.12.png" alt="M18/4/PHYSI/SPM/ENG/TZ1/02"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A car moves north at a constant speed of 3m s<sup>–1</sup> for 20s and then east at a constant speed of 4m s<sup>–1</sup> for 20s. What is the average speed of the car during this motion?</p>
<p>A. 7.0m s<sup>–1 <br></sup>B. 5.0m s<sup>–1<br></sup>C. 3.5m s<sup>–1</sup> <br>D. 2.5m s<sup>–1</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What is the correct SI unit for momentum?</p>
<p>A. kg m<sup>–1</sup>s<sup>–1</sup><br>B. kg m<sup>2</sup>s<sup>–1</sup><br>C. kg ms<sup>–1</sup><br>D. kg ms<sup>–2</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The diagram below shows the forces acting on a block of weight <em>W</em> as it slides down a slope. The angle between the slope and the horizontal is <em>θ</em>, the normal reaction force on the block from the slope is <em>N</em> and friction is negligible.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Which of the following gives the resultant force on the block?</p>
<p>A. <em>W</em> sin <em>θ</em></p>
<p>B. <em>W</em> cos <em>θ</em></p>
<p>C. <em>N</em> sin <em>θ</em></p>
<p>D. <em>N</em> cos <em>θ</em></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What is the best estimate for the diameter of a helium nucleus?</p>
<p>A. 10<sup>–21</sup> m</p>
<p>B. 10<sup>–18</sup> m</p>
<p>C. 10<sup>–15</sup> m</p>
<p>D. 10<sup>–10</sup> m</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<p>Which of the following lists <strong>two</strong> scalar quantities?</p>
<ol style="list-style-type: upper-alpha;">
<li>
<p>emf, momentum</p>
</li>
<li>
<p>emf, weight</p>
</li>
<li>
<p>impulse, kinetic energy</p>
</li>
<li>
<p>temperature, kinetic energy</p>
</li>
</ol>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<p>D</p>
</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Which of the following is a unit of energy?</p>
<p>A. kg m<sup>–1 </sup>s<sup>–1</sup><br>B. kg m<sup>2 </sup>s<sup>–2</sup><br>C. kg m s<sup>–2</sup><br>D. kg m<sup>2 </sup>s<sup>–1</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<p>A body accelerates from rest with a uniform acceleration <em>a</em> for a time <em>t</em>. The uncertainty in <em>a</em> is 8% and the uncertainty in <em>t</em> is 4%. The uncertainty in the speed is</p>
<ol style="list-style-type: upper-alpha;">
<li>
<p>32%.</p>
</li>
<li>
<p>12%.</p>
</li>
<li>
<p>8%.</p>
</li>
<li>
<p>2%.</p>
</li>
</ol>
</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<p>B</p>
</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The force of air resistance <em>F</em> that acts on a car moving at speed <em>v</em> is given by <em>F</em>=<em>kv</em><sup>2</sup> where <em>k</em> is a constant. What is the unit of <em>k</em>?</p>
<p>A. kg m<sup>–1</sup><br>B. kg m<sup>–2</sup>s<sup>2</sup><br>C. kg m<sup>–2</sup><br>D. kg m<sup>–2</sup>s<sup>–2</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 13">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';"> </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p class="p1">The masses and weights of different objects are independently measured. The graph is a plot of weight versus mass that includes error bars.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2016-11-07_om_17.47.55.png" alt="M09/4/PHYSI/SPM/ENG/TZ1/02"></p>
<p class="p1">These experimental results suggest that the</p>
<p class="p1">A. measurements show a significant systematic error but small random error.</p>
<p class="p1">B. measurements show a significant random error but small systematic error.</p>
<p class="p1">C. measurements are precise but not accurate.</p>
<p class="p1">D. weight of an object is proportional to its mass.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">As the weights of different objects are plotted against the corresponding masses of those objects, it is expected that the data plotted would yield a best fitting straight line that passed through the origin. Given that the best fitting line for the data plotted is straight but does not pass through the origin and that the uncertainty bars are small, it is indicated that the measurements show a significant systematic error but a small random error.</p>
</div>
<br><hr><br><div class="question">
<p>An object slides down an inclined plane that makes an angle <em>θ</em> with the horizontal. The weight of the object is <em>W</em>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">Which of the following is the magnitude of the component of the weight parallel to the plane?</p>
<p style="text-align: left;">A. <em>W</em> sin <em>θ</em></p>
<p style="text-align: left;">B. \(\frac{W}{{\sin \theta }}\)</p>
<p style="text-align: left;">C. <em>W</em> cos <em>θ</em></p>
<p style="text-align: left;">D. \(\frac{W}{{\cos \theta }}\)</p>
<p> </p>
<p> </p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>B and C were commonly chosen distractors. A simple teaching strategy for such situations is to invite the candidates to consider what happens if the angle is zero. Clearly the required component also becomes zero, in which case neither B nor C can be correct.</p>
</div>
<br><hr><br><div class="question">
<p>What is the order of magnitude of the mass, in kg, of an apple?</p>
<p>A. 10<sup>-3</sup></p>
<p>B. 10<sup>-1</sup></p>
<p>C. 10<sup>+1</sup></p>
<p>D. 10<sup>+3</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">A volume is measured to be \({\text{52 m}}{{\text{m}}^{\text{3}}}\). This volume in \({{\text{m}}^{\text{3}}}\) is</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\(5.2 \times {10^3}{\text{ }}{{\text{m}}^3}\).</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\(5.2 \times {10^1}{\text{ }}{{\text{m}}^3}\).</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\(5.2 \times {10^{ - 1}}{\text{ }}{{\text{m}}^3}\).</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\(5.2 \times {10^{ - 8}}{\text{ }}{{\text{m}}^3}\).</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Which of the following is a fundamental SI unit?</p>
<p>A. Ampere<br>B. Joule<br>C. Newton<br>D. Volt</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The length of the side of a cube is 10.0 ±0.3cm. What is the uncertainty in the volume of the cube?</p>
<p><br>A. ±0.027 cm<sup>3</sup></p>
<p>B. ±2.7 cm<sup>3</sup></p>
<p>C. ±9.0 cm<sup>3</sup></p>
<p>D. ±90 cm<sup>3</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>The candidates found this question difficult with the statistics indicating that many may have been guessing. It is clear (also from paper 2) that many candidates are not comfortable with percentages. It may be a good idea for teachers to make sure their candidates can perform simple percentage calculations without recourse to a calculator.</p>
</div>
<br><hr><br><div class="question">
<p>The velocities <strong><em>v</em></strong><sub>X</sub> and <strong><em>v</em></strong><sub>Y</sub> of two boats, X and Y, are shown.</p>
<p><img src="images/Schermafbeelding_2018-08-12_om_09.03.42.png" alt="M18/4/PHYSI/SPM/ENG/TZ2/02_01"></p>
<p>Which arrow represents the direction of the vector <strong><em>v</em></strong><sub>X</sub> – <strong><em>v</em></strong><sub>Y</sub>?</p>
<p><img src="images/Schermafbeelding_2018-08-12_om_09.04.57.png" alt="M18/4/PHYSI/SPM/ENG/TZ2/02_02"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Which is a vector quantity?</p>
<p>A. Pressure</p>
<p>B. Electric current</p>
<p>C. Temperature</p>
<p>D. Magnetic field</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two pulses are travelling towards each other.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p style="text-align: left;">What is a possible pulse shape when the pulses overlap?</p>
<p style="text-align: left;"><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Light of wavelength 400nm is incident on two slits separated by 1000µm. The interference pattern from the slits is observed from a satellite orbiting 0.4Mm above the Earth. The distance between interference maxima as detected at the satellite is</p>
<p>A. 0.16Mm.<br>B. 0.16km. <br>C. 0.16m. <br>D. 0.16mm.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What is the unit of electrical energy in fundamental SI units?</p>
<p>A. kg m<sup>2</sup> C<sup>–1</sup> s<br>B. kg m s<sup>–2</sup><br>C. kg m<sup>2</sup> s<sup>–2</sup><br>D. kg m<sup>2</sup> s<sup>–1</sup> A</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">An object falls for a time of 0.25 s. The acceleration of free fall is \(9.81{\text{ m}}\,{{\text{s}}^{ - 2}}\). The displacement is calculated. Which of the following gives the correct number of significant digits for the calculated value of the displacement of the object?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>1</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>2</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>3</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>4</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A velocity of 5 m s<sup>−1</sup> can be resolved along perpendicular directions XY and XZ.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The component of the velocity in the direction XY is of magnitude 4 m s<sup>−1</sup>. What is the magnitude of the component in the direction XZ?</p>
<p>A. 4 m s<sup>−1</sup></p>
<p>B. 3 m s<sup>−1</sup></p>
<p>C. 2 m s<sup>−1</sup></p>
<p>D. 1 m s<sup>−1</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The diagram shows an analogue meter with a mirror behind the pointer.</p>
<p style="text-align: center;"><img 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"></p>
<p>What is the main purpose of the mirror?</p>
<p>A. To provide extra light when reading the scale</p>
<p>B. To reduce the risk of parallax error when reading the scale</p>
<p>C. To enable the pointer to be seen from different angles</p>
<p>D. To magnify the image of the pointer</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The graph shows the relationship between two quantities <em>p</em> and <em>q</em>. The gradient of the graph is <em>r</em> and the intercept on the <em>p</em> axis is <em>s</em>.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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" alt></p>
<p>Which of the following is the correct relationship between <em>p</em> and <em>q</em>?</p>
<p>A. <em>p = sq+r</em><br>B. <em>p = rq+s</em><br>C. <em>p = rq−s</em><br>D. <em>p = rs+q</em></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Which of the following contains one fundamental and one derived unit?</p>
<p><img 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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The current <em>I</em> through a resistor is measured with a digital ammeter to be 0.10 A. The uncertainty in the calculated value of <em>I</em><sup>2</sup> will be</p>
<p>A. 1 %.<br>B. 2 %.<br>C. 5 %.<br>D. 20 %.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
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<p>A stone attached to a string is moving in a horizontal circle. The constant speed of the stone is <em>v</em>. The diagram below shows the stone in two different positions, X and Y.</p>
<p><img src="data:image/png;base64,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" alt></p>
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<p>Which of the following shows the direction of the change of velocity of the stone when moving from position X to position Y?</p>
<p><img 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" alt></p>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<p>The vector diagram shows two forces acting on a point object O. The forces are in the plane of the page.<img 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udOysfeTdwQQAABBBBAICqB86JamoURQAABBBBAIChAgPJCQAABBBBAIAYBAjQGNFZBAAEEEECAAOU1gAACCCCAQAwCBGgMaKyCAAIIIIAAAcprAAEEEEAAgRgECNAY0FgFAQQQQAABApTXAAIIIIAAAjEIEKAxoLEKAggggAACBCivAQQQQAABBGIQIEBjQGMVBBBAAAEECFBeAwgggAACCMQgQIDGgMYqCCCAAAIIEKC8BhBAAAEEEIhBgACNAY1VEEAAAQQQIEB5DSCAAAIIIBCDAAEaAxqrIIAAAgggQIDyGkAAAQQQQCAGAQI0BjRWQQABBBBAgADlNYAAAggggEAMAgRoDGiRrvL8nucjXZTlEEAAAQQSTIAA7aKBlZWVac6sWaqqquqiLVAWAQQQQCCeAgRoF+lv/NHDwcpFmzZ30RYoiwACCCAQT4GUj71bPHcgGbcdOPqcdMMEffTxRzov5Tz99uDLysrKSsZW6QkBBBAwK8ARaBeMPnD02Sezj959771gdY5CuwCZkggggECcBQhQxwMIHH0eKC3VbTNn6i+1tbpp2jQ98fjj/C3UsTPlEEAAgXgLEKCOJ+Affd44ZUqwcuHM24L3HIU6hqYcAgggEGcBAtThAEKPPj/1qU8FKwf+9slRqENkSiGAAAI9RIAAdTiI1keffmmOQn0J7hFAAIHkESBAHc2yvaNPvzRHob4E9wgggEDyCBCgjmYZ7ujTL89RqC/BPQIIIJAcAgSogzme6+jTL89RqC/BPQIIIJAcAgSogzl2dPTpb4KjUF+CewQQQCDxBQjQTs4wkqNPfxMchfoS3COAAAKJL0CAdnKGkR59+pvhKNSX4B4BBBBIbAECtBPzi+bo098MR6G+BPcIIIBAYgsQoJ2YX7RHn/6mOAr1JbhHAAEEEleAAI1xdrEcffqb4ijUl+AeAQQQSFwBAjTG2R0oPRD8xhX/mrfRlvGPQp979tloV2V5BBBAAIEeIMD3gcY4hKqqquCagaPJcLeUlBSd6+tWTxw/oayLs+RfNzdcHR5HAAEEEOh5AgRoF86kowDtwk1TGgEEEECgiwV4C7eLgSmPAAIIIJCcAgRocs6VrhBAAAEEuliAAO1iYMojgAACCCSnAAGanHOlKwQQQACBLhYgQLsYmPIIIIAAAskp8Inub6taZTt/rqceL9L28rONm++lYfmFumnKjZqQ2zeiXaorvUuXF2xTbZulB2hyyXatzuvX5pm2D7ypLd8ap1Xlbas0LJuuYUuf0dMzhrRdlUcQQAABBEwLdO/HWGoOa8v8eVq1/1QY9P4as/4xbZyYo9QwS7R8uF41Zc/qqa2P6sFt5arzn0y7Sov3PqrpOen+Ix3cB+qUaMHMdSr1Pt6ZNXqBHl5foNyMyPYiXHE+xhJOhscRQACBxBfovrdw6yu0a+E8PXD6i1pcUqo3T1aqwvv35oESLc4frrSg5Sntm3+71pd9GKFsqjJyx6tw7VPaW3yzhjUUkeoOatXUZTpQUx9Fnam6/YZsb/lsjZs9tdPhGeGGWQwBBBBAIEEFuilAa1VRcp82aI727l6j6XnZTUeYqdmjNN0LwD1Lr2oM0TdV8vBeVUcFmq6BY6Zo7GUhR5xVWzWzoEQVkWaot/U+mb29rfZWZoafxFHtBAsjgAACCBgS6J4ArXlJJYfyVLIpXwPbfVc0XTkFd6qgf0Nw1b1xXP8bcfCFn1bdkXW6afE+1YRfhGcQQAABBBCISaB7AjRjjFb85BbltBuejfud2kuZmY0LZGaqz7mWPUer6RMXacVX+zcuUaeqbcu0aGeFHOTxObbKUwgggAAC1gS6J0CjUu2l3G9eo89EtU7IwqlDNHHtvZqc5b8N6/1dddECrT8c3ZvCIRX5EQEEEEAAgTYCPSdAq3+nV16vVdqIOVpTMLTpb6Rt9jiSBwJHvD9boFw/Q+vKVDTrPu2qDPdxlUiKsgwCCCCAAALNAj0kQE/rwJqHVNp3rFau/8653+pt3vdz/pSaU6AtRVOU5S9V9ZyWfHejDkd8Zq6/IvcIIIAAAgi0FYh/gNZX6ldLpmv2sVEq2rpOE7JDzqRtu79RPOJ9xCXvXj3RdHav9+mW8iLNXVnKSUVRKLIoAggggED7AnEL0PrKA3p0810aPzRPhU+Wq7Z8px7e9LTKnB4hBs7uXa6VLU4qmq/pxcc4qaj91wOPIoAAAghEKBCHAK3TyeJ8DRlVoOWrt+lo0+WDzurotsWadN08t3+rTM3RhLVrVTi8VyPJWZWtuE1LS09HSMRiCCCAAAIItBWIQ4CmaeCMbcGrEFW8ukvrFuU3X0EosH/e3yoXTInmKkJtm2rzSMbVmv/gnOaTivR7bS+cqy0VnFTUxooHEEAAAQQiEohDgIbsV0auJty2Rk8f2qHFo/3PbnrPV/1ST+5/N2TBzv/Y5qSiqC/31/l9oAICCCCAQPIIxDdAfceMkZr+k2ItHuG/zVqjl54/GOXl/Pxi4e7bnlSkqh26e+FOneQqC+HQeBwBBBBAIIxAzwjQwM6lDtak2WObPnbi6nJ+Lfv2Tiqa8ZA25Q9ofNi7UtELyzXvgZc5M7clFL8hgAACCHQg0HMC1Lt0QsY1Y3SNq0+xhG28n0YtWdXipKKjmxZyub+wXjyBAAIIINCeQA8KUG/30i7VoCENCZr22cH6xxivh9teoy0eC5xUtOFujWlxub87tfo377RYjF8QQAABBBAIJ9CzArRpL9N00ZABymj63f0PqdkTtXpjYfMZwHWvqfTFcF/07X77VEQAAQQQSGyBnhWg9Wd15ox3Rk/aV/Td6Zd37nq4Hc7Fe8t45CytX+h/D2mHK7AAAggggAACTQI9KEDrVfPiTj1zKl25C7+ncX1je/+2vvoD/bGpvY5+aH1SUUfL8zwCCCCAAAINAt0QoF4wHl6v8YOzlXPVdP1HaWX7l9GrKdXqJb9Uv5lF2jIjhm9jaTx6rTtdrbNRTdc7qWjV5pCP0ES1MgsjgAACCBgV6IYAlepPvqFjgUv2Ve3XxoKv6Uv/vka7yvzv56xW2c41mjF2k/S9Ej1219Ux/O3Tq1FS5B29ehspf0Irig9H97GU1KG6ZX3oSUVGXw20jQACCCAQsUDKx94t4qVjXdD7xpUDJZu1YW3otW8Dxforb+a/6Qv9hujaaaM0MNp3bSuLNX7USh0Nu19XaPGBn2l6tv/FoGEX9J4IHCn/UDff+IrGvhDpOueqJ6WkpKg7eM+9FzyLAAIIINAVAt0ToF2x511Ss1YnS1/UByOuVW5GtGnedocI0LYmPIIAAggkiwAB2oWTJEC7EJfSCCCAQJwFuuVvoHHukc0jgAACCCDgXIAAdU5KQQQQQAABCwIEqIUp0yMCCCCAgHMBAtQ5KQURQAABBCwIEKAWpkyPCCCAAALOBQhQ56QURAABBBCwIECAWpgyPSKAAAIIOBcgQJ2TUhABBBBAwIIAAWphyvSIAAIIIOBcgAB1TkpBBBBAAAELAgSohSnTIwIIIICAcwEC1DkpBRFAAAEELAgQoBamTI8IIIAAAs4FCFDnpBREAAEEELAgQIBamDI9IoAAAgg4FyBAnZNSEAEEEEDAggABamHK9IgAAggg4FyAAHVOSkEEEEAAAQsCBKiFKdMjAggggIBzAQLUOSkFEUAAAQQsCBCgFqZMjwgggAACzgUIUOekFEQAAQQQsCBAgFqYMj0igAACCDgXIECdk1IQAQQQQMCCAAFqYcr0iAACCCDgXIAAdU5KQQQQQAABCwIEqIUp0yMCCCCAgHMBAtQ5KQURQAABBCwIEKAWpkyPCCCAAALOBQhQ56QURAABBBCwIECAWpgyPSKAAAIIOBcgQJ2TUhABBBBAwIIAAWphyvSIAAIIIOBcgAB1TkpBBBBAAAELAgSohSnTIwIIIICAcwEC1DkpBRFAAAEELAgQoBamTI8IIIAAAs4FCFDnpBREAAEEELAgQIBamDI9IoAAAgg4FyBAnZNSEAEEEEDAggABamHK9IgAAggg4FyAAHVOSkEEEEAAAQsCBKiFKdMjAggggIBzAQLUOSkFEUAAAQQsCBCgFqZMjwgggAACzgUIUOekFEQAAQQQsCBAgFqYMj0igAACCDgXIECdk1IQAQQQQMCCAAFqYcr0iAACCCDgXIAAdU5KQQQQQAABCwIEqIUp0yMCCCCAgHMBAtQ5KQURQAABBCwIEKAWpkyPCCCAAALOBQhQ56QURAABBBCwIECAWpgyPSKAAAIIOBcgQJ2TUhABBBBAwIIAAWphyvSIAAIIIOBcgAB1TkpBBBBAAAELAgSohSnTIwIIIICAcwEC1DkpBRFAAAEELAgQoBamTI8IIIAAAs4FCFDnpBREAAEEELAgQIBamDI9IoAAAgg4FyBAnZNSEAEEEEDAggABamHK9IgAAggg4FyAAHVOSkEEEEAAAQsCBKiFKdMjAggggIBzAQLUOSkFEUAAAQQsCBCgFqZMjwgggAACzgUIUOekFEQAAQQQsCBAgFqYMj0igAACCDgXIECdk1IQAQQQQMCCAAFqYcr0iAACCCDgXIAAdU5KQQQQQAABCwIEqIUp0yMCCCCAgHMBAtQ5KQURQAABBCwIEKAWpkyPCCCAAALOBQhQ56QURAABBBCwIECAWpgyPSKAAAIIOBcgQJ2TUhABBBBAwIIAAWphyvSIAAIIIOBcgAB1TkpBBBBAAAELAgSohSnTIwIIIICAcwEC1DkpBRFAAAEELAgQoBamTI8IIIAAAs4FCFDnpBREAAEEELAgQIBamDI9IoAAAgg4FyBAnZNSEAEEEEDAggABamHK9IgAAggg4FyAAHVOSkEEEEAAAQsCBKiFKdMjAggggIBzAQLUOSkFEUAAAQQsCBCgFqZMjwgggAACzgUIUOekFEQAAQQQsCBAgFqYMj0igAACCDgXIECdk1IQAQQQQMCCAAFqYcr0iAACCCDgXIAAdU5KQQQQQAABCwIEqIUp0yMCCCCAgHMBAtQ5KQURQAABBCwIEKAWpkyPCCCAAALOBQhQ56QURAABBBCwIECAWpgyPSKAAAIIOBcgQJ2TUhABBBBAwIIAAWphyvSIAAIIIOBcgAB1TkpBBBBAAAELAgSohSnTIwIIIICAcwEC1DkpBRFAAAEELAgQoBamTI8IIIAAAs4FCFDnpBREAAEEELAgQIBamDI9IoAAAgg4FyBAnZNSEAEEEEDAggABamHK9IgAAggg4FyAAHVOSkEEEEAAAQsCBKiFKdMjAggggIBzAQLUOSkFEUAAAQQsCBCgFqZMjwgggAACzgUIUOekFEQAAQQQsCBAgFqYMj0igAACCDgXIECdk1IQAQQQQMCCAAFqYcr0iAACCCDgXIAAdU5KQQQQQAABCwIEqIUp0yMCCCCAgHMBAtQ5KQURQAABBCwIEKAWpkyPCCCAAALOBQhQ56QURAABBBCwIECAWpgyPSKAAAIIOBcgQJ2TUhABBBBAwIIAAWphyvSIAAIIIOBcgAB1TkpBBBBAAAELAgSohSnTIwIIIICAcwEC1DkpBRFAAAEELAgQoBamTI8IIIAAAs4FCFDnpBREAAEEELAgQIBamDI9IoAAAgg4FyBAnZNSEAEEEEDAggABamHK9IgAAggg4FyAAHVOSkEEEEAAAQsCBKiFKdMjAggggIBzAQLUOSkFEUAAAQQsCBCgFqZMjwgggAACzgUIUOekFEQAAQQQsCBAgFqYMj0igAACCDgXIECdk1IQAQQQQMCCAAFqYcr0iAACCCDgXIAAdU5KQQQQQAABCwIEqIUp0yMCCCCAgHMBAtQ5KQURQAABBCwIEKAWpkyPCCCAAALOBQhQ56QURAABBBCwIECAWpgyPSKAAAIIOBcgQJ2TUhABBBBAwIIAAWphyvSIAAIIIOBcgAB1TkpBBBBAAAELAgSohSnTIwIIIICAcwEC1DkpBRFAAAEELAgQoBamTI8IIIAAAs4FCFDnpBREAAEEELAgQIBamDI9IoAAAgg4FyBAnZNSEAEEEEDAggABamHK9IgAAggg4FyAAHVOSkEEEEAAAQsCBKiFKdMjAggggIBzAQLUOSkFEUAAAQQsCBCgFqZMjwgggAACzgUIUOekFEQAAQQQsCBAgFqYMj0igAACCDgXIECdk1IQAQQQQMCCAAFqYcr0iAACCCDgXIAAdU5KQQQQQAABCwIEqIUp0yMCCCCAgHMBAtQ5KQURQAABBCwIEKAWpkyPCCCAAALOBQhQ56QURAABBBCwIECAWpgyPSKAAAIIOBcgQJ2TUhABBBBAwIIAAWphyvSIAAIIIOBcgAB1TkpBBBBAAAELAgSohSnTIwIIIICAcwEC1DkpBRFAAAEELAgQoBamTI8IIIAAAs4FCFDnpBREAAEEELAgQIBamDI9IoAAAgg4FyBAnZNSEAEEEEDAggABamHK9IgAAggg4FyAAHVOSkEEEEAAAQsCBKiFKdMjAggggIBzAQLUOSkFEUAAAQQsCHzCQpNteqwp067t/60TB/9TRftPhTydpqzRt+iWqy7TyMnfVG5Gashz/IgAAggggECzgK0jUC84ty8cp6GXT9CSZ99S7+sf0uGTlarw/736lOZfJb3yyEJNujxX4xf+XGU19c1a/IQAAggggECjQMrH3i35NWp1ct8azbv9MR2t66VhM4v02F1XKyNc4/WV+tU98zT7yXLVZY3R4k2rND23b7ilwz6ekpIiE7xhBXgCAQQQSF4BAwHqhefOBZo6/zlVKYLw9GddX6FdM2/Wghe8t3jTclX482ItHBldiBKgPib3CCCAQPIJJPlbuPWqKV3WGJ7e8PpP1ffvPMeRZ+h8U3M0YdUdykvzHqwrU9GNs7WlojZ0CX5GAAEEEDAskNwBWlOq1Ut2eEeegVuG8u74jnKjOS+o73W6ffqQhpdH3UE9sOCnquBPog0e/BcBBBAII7CluFhjRo/W83ueD7NEcjycxAH6ocqKHtD2qrqGSaVdoa9/5aIop3aBhn81T/0b16o78mOtfvrtKGuwOAIIIGBLYOTnPx9seM6sWUkdpMkboDW/1VO7K5tetWlfuk5f7hvN4WfDqqnDr9U3+gfexw3calT64E9VxlFoAwf/RQABBNoRyM3N1b79+/WjjRuDzyZrkCZtgNZXHtHL/tGn0nTRkAHhz7pt5wXQ9FDqxRr02QubftWpUu0r/7D5d35CAAEEEGhX4PpvXJ/UQZqkAfqhyl8oVfMlEi7UkEEXK/rjz8BrIkPZQ/4h5MXxno6/VRPye8sfDx06pGnTpilwBm7gFrgP/P7GG2+0XJDfEEAAASMCyRqkSRqgf1NN9R9DXprp6tvngpDfo/kxTX0ye4esUKvTZ/4U8nvzj7t379aVV16prVu3qk9GhvpmZqr3pz8d/H3o0KHa772lwQ0BBBCwKpBsQZqkAdqVL89aHT/+f2o8NalpQ2+//bZuvfVW/V16ui7Nulh9emeod69Pe8GdqUsuytL555+vKVOm6OzZs03r8AMCCCBgUSBZgpQAdfTq3bFjh95//339fWZfnXdeS9bU1FT169tXp0+f1q5duxxtkTIIIIBAYgskepC2/D99Ys+im/Y+XYMHX+qdltTy9utf/zp49JmW1vqZhuU+ef4ng0ehL730UssV+Q0BBBAwLpCoQZqk38ZyobIHf8Z7STZcQiHw8ZNjFe9JeWGvfhvFyzdDQ3NCTypqWLW2trbNkWfroqnekekjjzwS/Nf6OX5HAAEErAsE/tQV+PPXhRdcoLcq3tKunTs1YuQIZWVl9UiaJA3QNF2ak610HVLDxffq9cGZswp8fDP6M3H/rMrjf2geXtowXfm5Xs2/N/4UOEloz549+uijj9oN0vr6ev3FC9kNGzZo7ty5bdbnAQQQQMCqQFVVlYo2bdYTjz8eJBiVl6dZc2Yr8HnSnnxL2rdw0z73BX2x6d3UOp367RGFxGAUM3lPFceaP7YS7oIM3/72t4M1qz84027t989UBx+fNGlSu8/zIAIIIGBNIBCc93//Pv3LVVcHwzMQnDt279KWkkd6fHgGZpW0AarQ69gGOn39kI5Ux3AJoerf6ZXX/YvID9D4qdeove9kueKKK7Rs2TKd/dOf9O7p94JHm3/921/15w8/1DvvVgXvA0efl1xySWBvuCGAAAJmBRI9OP3BJelbuIH2LlBu4Z2avHtWw/VwvYvBP7nruMbNGBrF27j1qv6vvXrJv5zuiKma8eV+vl2b+3vuuUe9e/fW/fffHwxNf4F+/fpp0+bNwQsq+I9xjwACCFgTSNS3asPNKcm/DzTwdWb36BsFWxtOJ8qaoi17f6BRGRH+JbRmnxZd1xjAWWO1bus6TchOD2fZ9Hjgs57Hjh1r+j1wdMoNAQQQsCqQbMHpzzHJAzTQZrUOr5mhqZvKvIsfpCkrf6P2rB3T8XVxHXyhto/MPQIIIGBRIFmD05+lgQANtFqrkzsXNH6xdi8N+9fV+uEPrtfAcAeioeEZxZGnj8o9AgggYFkg2YPTn62RAG1ot75ynzYsX6aN+08pbXi+7hh/nb42bVRzkNaUadf2vfrlI4+qtOoi5c2+V0vvGNP8vK/GPQIIIIBAWIHAmbWBj6QkysdRwjbSwROmArTBwvu7aNmz2vE/f9CJZ4u1vTz02rTe0Wn+DI31LsIwcvI3lRvp30o7QOZpBBBAwJrAieMnNGjwoKRu22CAJvU8aQ4BBBBAoJsEkvdzoN0EyGYQQAABBGwKEKA2507XCCCAAAKdFCBAOwnI6ggggAACNgUIUJtzp2sEEEAAgU4KEKCdBGR1BBBAAAGbAgSozbnTNQIIIIBAJwUI0E4CsjoCCCCAgE0BAtTm3OkaAQQQQKCTAkn8dWadlGF1BBBAoCcI1B/Tlsn5WnXkrNLzS/Tq2lHe12K0f6srvUuXF2zzrv7d+jZAk0u2a3Ve+K9jbF7jTW351jitKm9bpWGZdA1b+oyenjGkeRWjP3EEanTwtI0AAokgUKuKkvv1gBeekdzS8tbotZMndHj3g1qYPzwkaH+v7YVztaUiXCiGVh+i6b94XRXBOkuUlxWIa++brEYv0Y5XT3iPv054NnIRoKGvG35GAAEEepBAfcVPddfag95XMUZzS1VG7ngVrn1Ke4tv1jD/cLXuoFZNXaYDNfURFgvUmarbb8j2ls/WuNlTuT54KzkCtBUIvyKAAAI9QsB76/bRBT9SWXTpGbLr6Ro4ZorGXpbe/FjVVs0sKFFFpBnqHXn2yeztrd9bmRl+EjeXs/4TAWr9FUD/CCDQAwUa37o9OkiTJ/6T0/2rO7JONy3epxqnVW0WI0Btzp2uEUCgBws0vHX7mv554X2aMfSCTu9p+sRFWvHV/o116lS1bZkW7axQxAeind6D5CxAgCbnXOkKAQQSVaDxrdvfDZujNQWXKdVFH6lDNHHtvZocPCEoUPCU9i1aoPWHq11UN1uDADU7ehpHAIGeJ9D41u3bX9bK9d9RjpP0bOwyY4xW/GyBcv0/ZdaVqWjWfdpVGcmZuT1PqifsEQHaE6bAPiCAAAKeQMNbt+9o/Mp7NSE75OQfRzqpOQXaUjRFWX69que05LsbdTjiM3P9FbkPCBCgvA4QQACBniAQfOv2x3rnhqVaFNEFD2LZae+jKXn36omlVzV9RrSuvEhzV5ZyUlEMnARoDGisggACCLgV8N+6/bqWL8lThtviraqlK6dguVa2OKlovqYXH+OkolZSHf1KgHYkxPMIIIBAFws0v3V7h0ZluPzDZ5gdT83RhLVrVTi8V+MCZ1W24jYtLT0dZgUebk+AAG1PhccQQACB7hLolrdu22km42rNf3BO80lFiuZyf+3UM/gQAWpw6LSMAAI9RaA737pt23Obk4qivtxf25qWHiFALU2bXhFAoEcJdPtbt226b3tSkap26O6FO3WSqyy00Wr9AAHaWoTfEUAAge4QqHlZ6+/o6rNuI2nEO6loxkPalD+gcWHvSkUvLNe8B17mzNwO+Pg+0A6AeBoBBBDoCoG6I0/r8fIa1ZbfqpHbIttC7bYCDfWXHb5E+38xQwMjW7WDpfpp1JJVKjxWqKLywFenndXRTQu1aFCxFnSwpuWnOQK1PH16RwABBHyBwElFG+7WmBaX+7tTq3/zjr8E960EOAJtBcKvCCCAQHcINHz59ZoONlWnk8VTNXrFoeBy6fklenXtqKaLIHSwctRPp2ZP1OqNf1DVjQ/raOBr1OpeU+mLgTIXR13LwgocgVqYMj0igAACEQl4JxWNnKX1C5uvVBTRakYXIkCNDp62EUDAjkB99Qf6Y8Tttj6pKOIVzS1IgJobOQ0jgIAZgfqzOnOmXnWnq73TgqK5eScVrdqsxSP8KxVFs66dZQlQO7OmUwQQMCVQrbKSIj1zyvtjZvkTWlF8OLqPpaQO1S3rQ08qMoUXUbMEaERMLIQAAggkiEBlscYPzFbOwM9r0op9qgru9imVrpikkcHH87WlMnCGUMe3hpOKCjXM/w7RjlcxtUTKx97NVMc0iwACCCAQhUCtTnqn4n4w4lrldseF7qPYs3gvSoDGewJsHwEEEEAgIQV4Czchx8ZOI4AAAgjEW4AAjfcE2D4CCCCAQEIKEKAJOTZ2GgEEEEAg3gIEaLwnwPYRQAABBBJSgABNyLGx0wgggAAC8RYgQOM9AbaPAAIIIJCQAgRoQo6NnUYAAQQQiLcAARrvCbB9BBBAAIGEFCBAE3Js7DQCCCCAQLwFCNB4T4DtI4AAAggkpAABmpBjY6cRQAABBOItQIDGewJsHwEEEEAgIQUI0IQcGzuNAAIIIBBvAQI03hNg+wgggAACCSlAgCbk2NhpBBBAAIF4CxCg8Z4A20cAAQQQSEgBAjQhx8ZOI4AAAgjEW4AAjfcE2D4CCCCAQEIKEKAJOTZ2GgEEEEAg3gIEaLwnwPYRQAABBBJSgABNyLGx0wgggAAC8RYgQOM9AbaPAAIIIJCQAgRoQo6NnUYAAQQQiLcAARrvCbB9BBBAAIGEFCBAE3Js7DQCCCCAQLwFCNB4T4DtI4AAAggkpMD/A9rcGunwrSyrAAAAAElFTkSuQmCC" alt></p>
<p>Another 5 N force is applied to O in the plane of the page. Which of the following gives the direction of this force to ensure that O is in equilibrium?</p>
<p><img 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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Aiming for the centre of a target, an archer fires arrows which produces a pattern of hits as shown below.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The pattern suggests the presence of</p>
<p>A. random and systematic uncertainties.<br>B. random uncertainties but no systematic uncertainties.<br>C. systematic uncertainties but no random uncertainties.<br>D. neither random nor systematic uncertainties.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">Option C was more popular than the correct response A. Candidates failed to recognize that the spread shown indicated that there were random errors in addition to the clear systematic error. </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p>The graph shows a set of experimental results to determine the density of oil. The results have systematic errors and random errors.</p>
<p><img 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" alt></p>
<p>Using the information on the graph, what can be said about the measurements used to find the density of oil?</p>
<p><img 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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<p>A sphere fits inside a cube.</p>
<p><img 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" alt></p>
<p> </p>
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<p>The length of the cube and the diameter of the sphere are 10.0±0.2cm.</p>
<p>What is the ratio \(\frac{{{\rm{percentage uncertainty of the volume of the sphere}}}}{{{\rm{percentage uncertainty of the volume of the cube}}}}\)?</p>
</div>
</div>
<div class="layoutArea">
<div class="column">
<p>A.\(\frac{3}{{4\pi }}\)</p>
<p>B. 1</p>
<p>C. 2</p>
<p>D. 8</p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br>