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<p>In a class quiz, the average time taken by seven candidates to complete the quiz is 1 hour and 17 minutes. The table below shows the difference between the time taken by each candidate and the average time.</p>
<div class="content-block content-block--table"><div class="table-container"><table><thead><tr><th style="text-align: left; --cell-justify: flex-start">Candidates</th><th style="text-align: left; --cell-justify: flex-start">A</th><th style="text-align: left; --cell-justify: flex-start">B</th><th style="text-align: left; --cell-justify: flex-start">C</th><th style="text-align: left; --cell-justify: flex-start">D</th><th style="text-align: left; --cell-justify: flex-start">E</th><th style="text-align: left; --cell-justify: flex-start">F</th><th style="text-align: left; --cell-justify: flex-start">G</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">Difference (minutes)</td><td style="text-align: left; --cell-justify: flex-start">-8</td><td style="text-align: left; --cell-justify: flex-start">2</td><td style="text-align: left; --cell-justify: flex-start">-3</td><td style="text-align: left; --cell-justify: flex-start">-11</td><td style="text-align: left; --cell-justify: flex-start">$x$</td><td style="text-align: left; --cell-justify: flex-start">5</td><td style="text-align: left; --cell-justify: flex-start">13</td></tr></tbody></table></div></div>
<p>Find</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">the value of $x$,</span></div></li><li><div class="list-item-content"><span class="list-item-text">the difference between the greatest and smallest time taken to complete the quiz,</span></div></li><li><div class="list-item-content"><span class="list-item-text">the average time taken to complete the quiz by candidate $C$, $D$ and $G$.</span></div></li></ol>

In a class quiz, the average time taken by seven candidates to complete the quiz is 1 hour and 17 minutes. The table below shows the difference between the time taken by each candidate and the average time.

the difference between the greatest and smallest time taken to complete the quiz,

the average time taken to complete the quiz by candidate $C$, $D$ and $G$.

Finding Unknowns from Averages and Spread

Mean of Ungrouped Data

Median, Quartiles, Range and Interquartile Range

Applications of Negative Numbers in Real Life

Real Numbers

Statistics

<p>The temperatures of a city during winter for a particular 5-day period were shown in the table below.</p>
<div class="content-block content-block--table"><div class="table-container"><table><thead><tr><th style="text-align: left; --cell-justify: flex-start">Monday</th><th style="text-align: left; --cell-justify: flex-start">Tuesday</th><th style="text-align: left; --cell-justify: flex-start">Wednesday</th><th style="text-align: left; --cell-justify: flex-start">Thursday</th><th style="text-align: left; --cell-justify: flex-start">Friday</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">$-4.0$ °C</td><td style="text-align: left; --cell-justify: flex-start">$1.5$ °C</td><td style="text-align: left; --cell-justify: flex-start">$2.0$ °C</td><td style="text-align: left; --cell-justify: flex-start">$-2.5$ °C</td><td style="text-align: left; --cell-justify: flex-start">$-1.5$ °C</td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">List the days when the temperature fell below $-2$ °C.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the average temperature during this period.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the difference in temperature between Monday and Wednesday.</span></div></li></ol>

The temperatures of a city during winter for a particular 5-day period were shown in the table below.

List the days when the temperature fell below $-2$ °C.

Find the average temperature during this period.

Find the difference in temperature between Monday and Wednesday.

 Applications of Negative Numbers in Real Life

<p style="margin-top: 1rem">The table shows the temperature of six cities at midnight on a particular day.</p>
<div class="table-container"><table><thead><tr><th>City</th><th>Stockholm</th><th>Nuuk</th><th>Toronto</th><th>Wellington</th><th>Singapore</th><th>Reykjavík</th></tr></thead><tbody><tr><td>Temperature $\left( {}^\circ \mathrm{C} \right)$</td><td>$-4\mathrm{ }{}^\circ \mathrm{C}$</td><td>$-8\mathrm{ }{}^\circ \mathrm{C}$</td><td>$9\mathrm{ }{}^\circ \mathrm{C}$</td><td>$14\mathrm{ }{}^\circ \mathrm{C}$</td><td>$\mathrm{24 }{}^\circ \mathrm{C}$</td><td>$-5\mathrm{ }{}^\circ \mathrm{C}$</td></tr></tbody></table></div>
<ol class="abc-list"><li><div class="list-item-paragraph">List down all six cities in the ascending order of their temperature.

</div></li><li><div class="list-item-paragraph">Find the difference between the greatest temperature and smallest temperature.</div></li><li><div class="list-item-paragraph">Find the average temperature of Stockholm, Nuuk and Singapore.

</div></li></ol>

The table shows the temperature of six cities at midnight on a particular day.

[EPQ Vol 1A] Question 8

<p>The temperature of a city in the day and night are given as follows:</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 250px;"><colgroup><col style="width: 100px;"><col style="width: 150px;"></colgroup><thead><tr style="height: 23px;"><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">Time</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">Temperature (Degree)</th></tr></thead><tbody><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">12 noon</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">${5{}^{\circ}\mathrm{C}}$</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">7.30 pm</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">${-8{}^{\circ}\mathrm{C}}$</td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-paragraph">Find the difference between the temperatures in the day and night.</div></li><li><div class="list-item-paragraph">Given that the temperature at $5$ pm is halfway between the temperatures at $12$ noon and $7.30$ pm, find its temperature.</div></li></ol>

The temperature of a city in the day and night are given as follows:

Comparing Day and Night Temperatures

<p>Liquid $Y$ and $Z$ are stored at room temperature in a laboratory at $25^\circ \mathrm{C}$.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">During a Science experiment, Julie cooled Liquid $Y$ until its temperature dropped by $30^\circ \mathrm{C}$. Find the new temperature of Liquid $Y$.</div></li><li><div class="list-item-paragraph">In another Science experiment, Julie heated Liquid $Z$ until its temperature rose by $18^\circ \mathrm{C}$. Calculate the difference between the final temperatures of Liquid $Y$ and $Z$.</div></li></ol>

Liquid $Y$ and $Z$ are stored at room temperature in a laboratory at $25^\circ \mathrm{C}$.

Temperature Changes in a Laboratory Experiment

<p>The table below shows the temperature of five locations at night on a particular day.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 250px;"><colgroup><col style="width: 40.0000%;"><col style="width: 60.0000%;"></colgroup><thead><tr style="height: 23px;"><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">Location</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">Temperature ${({}^{\circ}\mathrm{C})}$</th></tr></thead><tbody><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">Singapore</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$28$</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">Sydney</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$17$</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">Mexico</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$7$</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">Beijing</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$-5$</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">Ireland</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$-13$</td></tr></tbody></table></div></div>
<ol class="abc-list"><li data-list-item-id="item-1763540150174-yahzku2k6" data-list-item-path="item-1763540150174-yahzku2k6"><div class="list-item-paragraph">Find the difference in temperature between Singapore and Ireland.</div></li><li data-list-item-id="item-1763540151128-odt4p34f1" data-list-item-path="item-1763540151128-odt4p34f1"><div class="list-item-paragraph">The temperature of location $X$ was exactly midway between the temperature in Sydney and Beijing. What was the temperature in location $X$?</div></li></ol>

The table below shows the temperature of five locations at night on a particular day.

Interpreting Temperature Data from a Table

<p>The freezing of a liquid is $-7^\circ \mathrm{C}$. The temperature difference between its freezing point and boiling point is $25^\circ \mathrm{C}$.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">Find the boiling point of the liquid.</div></li><li><div class="list-item-paragraph">An addition of a small quantity of salt into the liquid decreased its freezing point by $0.8^\circ \mathrm{C}$ and increased its boiling point by $0.7^\circ \mathrm{C}$. Find the temperature difference between the freezing point and the boiling point of this liquid-salt mixture.</div></li></ol>

The freezing of a liquid is $-7^\circ \mathrm{C}$. The temperature difference between its freezing point and boiling point is $25^\circ \mathrm{C}$.

Temperature Changes and Effects of Adding Salt

<p>During a search-and-rescue operation, a helicopter at a height of $90$ m above sea level, spots an unidentified object directly below it. The unidentified object is $4$ m below sea level. Find the distance between the helicopter and the unidentified object.</p>

During a search-and-rescue operation, a helicopter at a height of $90$ m above sea level, spots an unidentified object directly below it. The unidentified object is $4$ m below sea level. Find the distance between the helicopter and the unidentified object.

Finding Vertical Distance Between Two Positions

<p>The temperatures of a room and a freezer are $23^\circ \mathrm{C}$ and $-7^\circ \mathrm{C}$ respectively.</p>
<p>On a certain day, the temperature in Alaska is three times the temperature of the freezer.</p>
<p>Find</p>
<ol class="abc-list"><li><div class="list-item-paragraph">the difference between the temperatures of the room and the freezer,</div></li><li><div class="list-item-paragraph">the average of the temperatures of the room and the freezer,</div></li><li><div class="list-item-paragraph">the temperature in Alaska on that day.</div></li></ol>

The temperatures of a room and a freezer are $23^\circ \mathrm{C}$ and $-7^\circ \mathrm{C}$ respectively.

On a certain day, the temperature in Alaska is three times the temperature of the freezer.

Temperature Calculations Involving Room, Freezer, and Alaska

<p>The temperature at the bottom of a mountain was $0^\circ \mathrm{C}$. The temperature at the top was $-20^\circ \mathrm{C}$.</p>
<p>Find the</p>
<ol class="abc-list"><li><div class="list-item-paragraph">difference between the two temperatures.</div></li><li><div class="list-item-paragraph">average of the two temperatures.</div></li></ol>

The temperature at the bottom of a mountain was $0^\circ \mathrm{C}$. The temperature at the top was $-20^\circ \mathrm{C}$.

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