A Math

A Math (IGCSE)

E Math

E Math (IGCSE)

H1 Math

H2 Math

IB AA HL Math

IB AA SL Math

IB AI HL Math

IB AI SL Math

IP Math

N(A) A Math

N(A) E Math

PSLE

<p>The following bar graph shows the unit cost and unit selling price of six items in a store.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767772322945-f68m9qxei6b.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NzIzMjI5NDUtZjY4bTlxeGVpNmIucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2Mjg4MiwiZXhwIjoxNzkyNjYzMTgyfQ.slPIBJO-81oNqIdyV4mRkqZ90HayJDH1B2MnaZTfkNw" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li><div class="list-item-paragraph">Using the data from the bar graph above, complete the table below.</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/migrated/2024/06/Extra-Practice-Q30-i-diagram-1.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNi9FeHRyYS1QcmFjdGljZS1RMzAtaS1kaWFncmFtLTEucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2Mjg4MiwiZXhwIjoxNzkyNjYzMTgyfQ.Sigoda75GKuZyylB65VpjtKX2TCsZn9PcemBFtati2E" alt="List item image" class="aligncenter custom-width" style="max-width: min(450px, 100%); height: auto;" /></div><div class="list-item-paragraph">The bar graph below shows the quantities sold (in hundreds) of the six items from July to September.</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/migrated/2024/06/Extra-Practice-Q30-i-diagram-2-624x362.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNi9FeHRyYS1QcmFjdGljZS1RMzAtaS1kaWFncmFtLTItNjI0eDM2Mi5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkyNjYyODgyLCJleHAiOjE3OTI2NjMxODJ9.CgPwcj7TJ77DRk3IF0V--IURL0E8y-wFtLiHHRQ95OE" alt="List item image" class="aligncenter custom-width" style="max-width: min(450px, 100%); height: auto;" /></div></li><li><div class="list-item-paragraph">Using the data above, complete the pie chart below by subdividing the grey part according to the sales of items D, E and F. Hence state clearly the quantity sold for each item and the degree of each sector.</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/migrated/2024/06/Extra-Practice-Q30-ii-diagram--624x396.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNi9FeHRyYS1QcmFjdGljZS1RMzAtaWktZGlhZ3JhbS0tNjI0eDM5Ni5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkyNjYyODgyLCJleHAiOjE3OTI2NjMxODJ9.k4f7aen5q5CEBjvVSAL-eh0B4Es1Z8S1vJdqHQAJkqM" alt="List item image" class="aligncenter custom-width" style="max-width: min(350px, 100%); height: auto;" /></div></li><li><div class="list-item-paragraph">Complete the table below, which shows the total profit earned by each of the six items from July to September.</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/migrated/2024/06/Extra-Practice-Q30-iii-diagram--624x91.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNi9FeHRyYS1QcmFjdGljZS1RMzAtaWlpLWRpYWdyYW0tLTYyNHg5MS5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkyNjYyODgyLCJleHAiOjE3OTI2NjMxODJ9.aPBAVB1W4pwX3Fhwv86m6C_LfwjoeyTNqG6kUBX2ajY" alt="List item image" class="aligncenter" style="max-width: 100%; height: auto;" /></div></li><li><div class="list-item-paragraph">Based on your answers in (iii), state which item has the highest total profit and which item has the lowest total profit.</div></li><li><div class="list-item-paragraph">Given that from July to September, the item that has the highest total profit is fan, while the item that has the lowest total profit is scarf, give one suggestion for the store’s selling plan for the next quarter (October to December), based on the following assumptions, respectively:</div><ol class="abc-list"><li><div class="list-item-paragraph">without considering any other factors;

</div></li><li><div class="list-item-paragraph">considering the monthly average temperature of the region where the store is located, which is shown in the line graph below.</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/migrated/2024/06/Extra-Practice-Q30-v-diagram--624x332.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNi9FeHRyYS1QcmFjdGljZS1RMzAtdi1kaWFncmFtLS02MjR4MzMyLnBuZyIsInNjb3BlIjoiZG93bmxvYWQiLCJpYXQiOjE3OTI2NjI4ODIsImV4cCI6MTc5MjY2MzE4Mn0.Y8VLGO0n7qCI-G7PRjWQo7AURwF8Sj9R1XEgNkM-Wd0" alt="Sub-item image" class="aligncenter custom-width" style="max-width: min(450px, 100%); height: auto;" /></div></li></ol></li></ol>

The following bar graph shows the unit cost and unit selling price of six items in a store.

Percentages involving Finances: Profit and Loss

Interpreting and Evaluating Statistical Representations

Pie Charts

Bar Graphs

Line Graphs

 Bar Graphs, Pie Charts, Line Graphs

Statistics

Percentages

<p>The line graph below shows the temperature (in °C) recorded at noon over a week in a city.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767772184081-8z1lw7pr1iw.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NzIxODQwODEtOHoxbHc3cHIxaXcucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2Mjg4MiwiZXhwIjoxNzkyNjYzMTgyfQ.__AJmdo6Tl3PAuDqe5iUK4y0-LbYZQ4JS56VqyuRT6w" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Calculate the average temperature over the week.</span></div></li><li><div class="list-item-content"><span class="list-item-text">What was the difference in temperature between the hottest and the coldest day?</span></div></li><li><div class="list-item-content"><span class="list-item-text">If a day is considered "hot" when the temperature is above <strong>25°C</strong>, what is the fraction of hot days?</span></div></li><li><div class="list-item-content"><span class="list-item-text">What is the trend of the temperature over the week? Describe whether it is increasing, decreasing or fluctuating.</span></div></li></ol>

The line graph below shows the temperature (in °C) recorded at noon over a week in a city.

Calculate the average temperature over the week.

What was the difference in temperature between the hottest and the coldest day?

If a day is considered "hot" when the temperature is above **25°C**, what is the fraction of hot days?

What is the trend of the temperature over the week? Describe whether it is increasing, decreasing or fluctuating.

Mean of Ungrouped Data

Median, Quartiles, Range and Interquartile Range

<p>The line graph below shows the incomplete monthly average temperature of two regions in a year.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767766270632-gy8u3g0xjif.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NjYyNzA2MzItZ3k4dTNnMHhqaWYucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2Mjg4MiwiZXhwIjoxNzkyNjYzMTgyfQ.6FAzHlzEfjy6Y4JAOs4ZITA0ebpgDJMIJAWQg6uJXfU" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Complete the line graph using the data in the table below.</span></div></li></ol>
<div class="content-block content-block--table"><div class="table-container"><table><thead><tr><th style="text-align: left; --cell-justify: flex-start">Month</th><th style="text-align: left; --cell-justify: flex-start">Jan</th><th style="text-align: left; --cell-justify: flex-start">Feb</th><th style="text-align: left; --cell-justify: flex-start">Mar</th><th style="text-align: left; --cell-justify: flex-start">Apr</th><th style="text-align: left; --cell-justify: flex-start">May</th><th style="text-align: left; --cell-justify: flex-start">Jun</th><th style="text-align: left; --cell-justify: flex-start">Jul</th><th style="text-align: left; --cell-justify: flex-start">Aug</th><th style="text-align: left; --cell-justify: flex-start">Sep</th><th style="text-align: left; --cell-justify: flex-start">Oct</th><th style="text-align: left; --cell-justify: flex-start">Nov</th><th style="text-align: left; --cell-justify: flex-start">Dec</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">Temp. in Region A (°C)</td><td style="text-align: left; --cell-justify: flex-start">0</td><td style="text-align: left; --cell-justify: flex-start">-1</td><td style="text-align: left; --cell-justify: flex-start">4</td><td style="text-align: left; --cell-justify: flex-start">11</td><td style="text-align: left; --cell-justify: flex-start">17</td><td style="text-align: left; --cell-justify: flex-start">23</td><td style="text-align: left; --cell-justify: flex-start">25</td><td style="text-align: left; --cell-justify: flex-start">25</td><td style="text-align: left; --cell-justify: flex-start">21</td><td style="text-align: left; --cell-justify: flex-start">16</td><td style="text-align: left; --cell-justify: flex-start">9</td><td style="text-align: left; --cell-justify: flex-start">4</td></tr><tr><td style="text-align: left; --cell-justify: flex-start">Temp. in Region B (°C)</td><td style="text-align: left; --cell-justify: flex-start">-22</td><td style="text-align: left; --cell-justify: flex-start">-14</td><td style="text-align: left; --cell-justify: flex-start">-2</td><td style="text-align: left; --cell-justify: flex-start">6</td><td style="text-align: left; --cell-justify: flex-start">13</td><td style="text-align: left; --cell-justify: flex-start">16</td><td style="text-align: left; --cell-justify: flex-start">24</td><td style="text-align: left; --cell-justify: flex-start">23</td><td style="text-align: left; --cell-justify: flex-start">17</td><td style="text-align: left; --cell-justify: flex-start">6</td><td style="text-align: left; --cell-justify: flex-start">-5</td><td style="text-align: left; --cell-justify: flex-start">-15</td></tr></tbody></table></div></div>
<ol class="i-list" start="2"><li><div class="list-item-paragraph">Find</div><ol class="abc-list"><li><div class="list-item-paragraph">the difference between the highest and lowest monthly average temperature in Region A and Region B, respectively, and </div></li><li><div class="list-item-paragraph">the number of months when the monthly average temperature is above 10°C in Region A and Region B.</div></li></ol></li><li><div class="list-item-paragraph">A kind of crop needs to grow in an environment with an average temperature higher than $10$°C for more than $6$ consecutive months. State, with clear reasons, which region is more suitable for growing this crop.</div></li><li><div class="list-item-content"><span class="list-item-text">A skating team plans to use outdoor venues for training in either Region A or Region B. State, with clear reasons, which region can provide the skating team with a longer and more stable training time.</span></div></li></ol>

The line graph below shows the incomplete monthly average temperature of two regions in a year.

Complete the line graph using the data in the table below.

A skating team plans to use outdoor venues for training in either Region A or Region B. State, with clear reasons, which region can provide the skating team with a longer and more stable training time.

<p>The line graph below shows the population sizes of species A and species B in region R in one year.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767766013444-bxlxk6ifew.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NjYwMTM0NDQtYnhseGs2aWZldy5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkyNjYyODgyLCJleHAiOjE3OTI2NjMxODJ9.KEhrR6dekYL5Lsm1nthtM7zeqpv4gxF8tWQ89OeY3oE" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li data-list-item-id="item-i" data-list-item-path="item-i"><div class="list-item-paragraph">Find</div><ol class="abc-list"><li data-list-item-id="subitem-1767766045471-g60rjtbwn" data-list-item-path="item-i/subitem-1767766045471-g60rjtbwn"><div class="list-item-paragraph">the greatest values of the population size of species A and B in region R this year and state the months when these values occur; </div></li><li data-list-item-id="subitem-1767766054967-q28l5tjvh" data-list-item-path="item-i/subitem-1767766054967-q28l5tjvh"><div class="list-item-paragraph">the least values of the population size of species A and B in region R this year and state the months when these values occur; and </div></li><li data-list-item-id="subitem-1767766062255-1xz3ftbt9" data-list-item-path="item-i/subitem-1767766062255-1xz3ftbt9"><div class="list-item-paragraph">the number of months when the population size of species A is less than 5,000 in region R this year.</div></li></ol></li><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">Express the least value of the population size of species A as a percentage of the greatest value of its population size in region R this year, correcting your answer to $3$ significant figures.</div></li><li data-list-item-id="item-iii" data-list-item-path="item-iii"><div class="list-item-paragraph">State one advantage and one disadvantage, respectively, of the drawing of the graph above, where the vertical axis does not start from zero.</div></li><li data-list-item-id="item-iv" data-list-item-path="item-iv"><div class="list-item-paragraph">Biologists state that the relationship between species A and species B in region R may be either predation (one being the food of the other) or mutualism (mutually beneficial). From the statistical diagram above, which relationship do you think is more probable? Briefly state your reasons.</div></li></ol>

The line graph below shows the population sizes of species A and species B in region R in one year.

State one advantage and one disadvantage, respectively, of the drawing of the graph above, where the vertical axis does not start from zero.

Biologists state that the relationship between species A and species B in region R may be either predation (one being the food of the other) or mutualism (mutually beneficial). From the statistical diagram above, which relationship do you think is more probable? Briefly state your reasons.

Expressing One Quantity as a Percentage of Another

<p>The bar graph below shows the average height of boys and girls of a country aged from $9$ to $18$.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767762422600-gjwmg94lo6d.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NjI0MjI2MDAtZ2p3bWc5NGxvNmQucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2Mjg4MiwiZXhwIjoxNzkyNjYzMTgyfQ.ff010QTCMxd19P2F28ygiTlpeszFKc86G4DWaMtqxDM" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li><div class="list-item-paragraph">Using the data from the bar graph above, complete the table below, which shows the difference between the average height of boys and girls aged from $9$ to $18$.</div></li></ol>
<div class="content-block content-block--table"><div class="table-container"><table><thead><tr><th style="text-align: left; --cell-justify: flex-start">Age</th><th style="text-align: left; --cell-justify: flex-start">9</th><th style="text-align: left; --cell-justify: flex-start">10</th><th style="text-align: left; --cell-justify: flex-start">11</th><th style="text-align: left; --cell-justify: flex-start">12</th><th style="text-align: left; --cell-justify: flex-start">13</th><th style="text-align: left; --cell-justify: flex-start">14</th><th style="text-align: left; --cell-justify: flex-start">15</th><th style="text-align: left; --cell-justify: flex-start">16</th><th style="text-align: left; --cell-justify: flex-start">17</th><th style="text-align: left; --cell-justify: flex-start">18</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">Difference (cm)</td><td style="text-align: left; --cell-justify: flex-start">1</td><td style="text-align: left; --cell-justify: flex-start">-1</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start">10</td><td style="text-align: left; --cell-justify: flex-start">11</td><td style="text-align: left; --cell-justify: flex-start">11</td><td style="text-align: left; --cell-justify: flex-start">12</td></tr></tbody></table></div></div>
<ol class="i-list" start="2"><li><div class="list-item-content"><span class="list-item-text">State one advantage and one disadvantage, respectively, of the drawing of the graph above, where the vertical axis does not start from zero.</span></div></li><li><div class="list-item-paragraph">Hence complete the line graph below.</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/migrated/2024/05/Question-20-iii-diagram-624x370.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNS9RdWVzdGlvbi0yMC1paWktZGlhZ3JhbS02MjR4MzcwLnBuZyIsInNjb3BlIjoiZG93bmxvYWQiLCJpYXQiOjE3OTI2NjI4ODIsImV4cCI6MTc5MjY2MzE4Mn0.3z97HPkL6lq_CLO1mTtK3DrK9BK1IkR6dydz1rsPoqA" alt="List item image" class="aligncenter custom-width" style="max-width: min(450px, 100%); height: auto;" /></div></li><li><div class="list-item-paragraph">State a trend you find from the average height of boys and girls of the country aged from $9$ to $18$.</div></li></ol>

The bar graph below shows the average height of boys and girls of a country aged from $9$ to $18$.

<p>The line graph below shows the total costs and total sales of a company for each year from $2012$ to $2022$.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767762144869-f2u66aob90t.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NjIxNDQ4NjktZjJ1NjZhb2I5MHQucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2Mjg4MiwiZXhwIjoxNzkyNjYzMTgyfQ.4j_F54Dzx_XhPjM-gKp2Yowf0V-kRytpq-jk1Cz68N0" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li><div class="list-item-paragraph">Find the percentage increase of the company’s total annual costs and total annual sales from $2012$ to $2022$, respectively.</div></li></ol>
<p>The table below shows the profit and profit rate of the company for each year from $2012$ to $2022$.</p>
<ol class="i-list" start="2"><li><div class="list-item-paragraph">Complete the table, correcting your answers to $3$ significant figures for profit rate.</div></li></ol>
<div class="content-block content-block--table"><div class="table-container"><table><thead><tr><th style="text-align: left; --cell-justify: flex-start">Year</th><th style="text-align: left; --cell-justify: flex-start">2012</th><th style="text-align: left; --cell-justify: flex-start">2013</th><th style="text-align: left; --cell-justify: flex-start">2014</th><th style="text-align: left; --cell-justify: flex-start">2015</th><th style="text-align: left; --cell-justify: flex-start">2016</th><th style="text-align: left; --cell-justify: flex-start">2017</th><th style="text-align: left; --cell-justify: flex-start">2018</th><th style="text-align: left; --cell-justify: flex-start">2019</th><th style="text-align: left; --cell-justify: flex-start">2020</th><th style="text-align: left; --cell-justify: flex-start">2021</th><th style="text-align: left; --cell-justify: flex-start">2022</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">Profit ($ million)</td><td style="text-align: left; --cell-justify: flex-start">0.3</td><td style="text-align: left; --cell-justify: flex-start">0.4</td><td style="text-align: left; --cell-justify: flex-start">0.6</td><td style="text-align: left; --cell-justify: flex-start">0.8</td><td style="text-align: left; --cell-justify: flex-start">1.3</td><td style="text-align: left; --cell-justify: flex-start">1.1</td><td style="text-align: left; --cell-justify: flex-start">0.8</td><td style="text-align: left; --cell-justify: flex-start">0.7</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">Profit Rate (%)</td><td style="text-align: left; --cell-justify: flex-start">60.0</td><td style="text-align: left; --cell-justify: flex-start">50.0</td><td style="text-align: left; --cell-justify: flex-start">42.9</td><td style="text-align: left; --cell-justify: flex-start">27.6</td><td style="text-align: left; --cell-justify: flex-start">35.1</td><td style="text-align: left; --cell-justify: flex-start">27.5</td><td style="text-align: left; --cell-justify: flex-start">19.0</td><td style="text-align: left; --cell-justify: flex-start">15.2</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr></tbody></table></div></div>
<ol class="i-list" start="3"><li><div class="list-item-paragraph">Hence find the greatest annual profit and the greatest annual profit rate of the company from $2012$ to $2022$, and state the year(s) when these values occur.</div></li><li><div class="list-item-content"><span class="list-item-text">Hence complete the line graph below and state the year(s) when the company had an annual profit loss.</span></div></li></ol>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767762242825-qmj78mld5p8.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NjIyNDI4MjUtcW1qNzhtbGQ1cDgucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2Mjg4MiwiZXhwIjoxNzkyNjYzMTgyfQ.SmQoZJZTS6UBeXnCxhV-C3ue0lqwtSYiKJ69jwoLe4w" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>

The line graph below shows the total costs and total sales of a company for each year from $2012$ to $2022$.

The table below shows the profit and profit rate of the company for each year from $2012$ to $2022$.

Hence complete the line graph below and state the year(s) when the company had an annual profit loss.

<p>The line graph below shows the monthly average temperature of City A and City B.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767761974636-rwszucyj76.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NjE5NzQ2MzYtcndzenVjeWo3Ni5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkyNjYyODgyLCJleHAiOjE3OTI2NjMxODJ9.d9zWtOv2mnfbeyc58JjhvbGuHEhTD7W8MZkWqk9smL0" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Find the highest and lowest monthly average temperatures in City A and City B over a year, and the months in which these temperatures occur.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the number of months in which the average monthly temperature of City A is higher than 5°C.</span></div></li></ol>
<p>The table below shows the difference between the monthly average temperature of City A and City B over a year.</p>
<div class="content-block content-block--table"><div class="table-container"><table><thead><tr><th style="text-align: left; --cell-justify: flex-start">Month</th><th style="text-align: left; --cell-justify: flex-start">Jan</th><th style="text-align: left; --cell-justify: flex-start">Feb</th><th style="text-align: left; --cell-justify: flex-start">Mar</th><th style="text-align: left; --cell-justify: flex-start">Apr</th><th style="text-align: left; --cell-justify: flex-start">May</th><th style="text-align: left; --cell-justify: flex-start">Jun</th><th style="text-align: left; --cell-justify: flex-start">Jul</th><th style="text-align: left; --cell-justify: flex-start">Aug</th><th style="text-align: left; --cell-justify: flex-start">Sep</th><th style="text-align: left; --cell-justify: flex-start">Oct</th><th style="text-align: left; --cell-justify: flex-start">Nov</th><th style="text-align: left; --cell-justify: flex-start">Dec</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">Difference (°C)</td><td style="text-align: left; --cell-justify: flex-start">24.8</td><td style="text-align: left; --cell-justify: flex-start">25.9</td><td style="text-align: left; --cell-justify: flex-start">17.1</td><td style="text-align: left; --cell-justify: flex-start">5.1</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start">8.2</td><td style="text-align: left; --cell-justify: flex-start">19.0</td><td style="text-align: left; --cell-justify: flex-start">21.5</td></tr></tbody></table></div></div>
<ol class="i-list" start="3"><li><div class="list-item-content"><span class="list-item-text">Complete the table. Hence briefly describe the trend of changing of the difference between the monthly average temperature of the two cities in a year.</span></div></li></ol>

The line graph below shows the monthly average temperature of City A and City B.

Find the highest and lowest monthly average temperatures in City A and City B over a year, and the months in which these temperatures occur.

Find the number of months in which the average monthly temperature of City A is higher than 5°C.

The table below shows the difference between the monthly average temperature of City A and City B over a year.

Complete the table. Hence briefly describe the trend of changing of the difference between the monthly average temperature of the two cities in a year.

<p>The line graphs below show the forest coverage and air pollutant concentration in Region A from $2008$ to $2022$.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767761668052-3hzanovbyw3.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NjE2NjgwNTItM2h6YW5vdmJ5dzMucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2Mjg4MiwiZXhwIjoxNzkyNjYzMTgyfQ.AFkA4fpvuh2cXMRV2Q2NAcG5-yrqgrfi5TDT39Tyk2c" style="max-width: min(300px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Find the year with the greatest decrease in percentage points in forest coverage in Region A. Hence find the decrease in percentage points in forest coverage this year.</span></div></li><li><div class="list-item-paragraph">Find the overall percentage increase in air pollutant concentration in Region A from $2008$ to $2022$, correcting your answer to $3$ significant figures.</div></li><li><div class="list-item-content"><span class="list-item-text">The local government of Region A launched the ‘Forest Restoration’ operation. State in which year the government most likely started this operation and briefly explain the reason.</span></div></li><li><div class="list-item-content"><span class="list-item-text">State one advantage and one disadvantage, respectively, of the drawing of the graphs above, where the vertical axes do not start from zero.</span></div></li></ol>

The line graphs below show the forest coverage and air pollutant concentration in Region A from $2008$ to $2022$.

Find the year with the greatest decrease in percentage points in forest coverage in Region A. Hence find the decrease in percentage points in forest coverage this year.

The local government of Region A launched the ‘Forest Restoration’ operation. State in which year the government most likely started this operation and briefly explain the reason.

State one advantage and one disadvantage, respectively, of the drawing of the graphs above, where the vertical axes do not start from zero.

Percentage Increase and Decrease

<ol class="i-list"><li data-list-item-id="item-i" data-list-item-path="item-i"><div class="list-item-paragraph">The table below shows the number of students who get an A, B, C and D in a test, respectively. Construct a bar graph using the grids below and the data from the table.</div></li></ol>
<div class="content-block content-block--table"><div class="table-container"><table style="width: 100%;"><thead><tr><th style="text-align: center; --cell-justify: center">Rating</th><th style="text-align: center; --cell-justify: center"><p>$A$</p></th><th style="text-align: center; --cell-justify: center"><p>$B$</p></th><th style="text-align: center; --cell-justify: center"><p>$C$</p></th><th style="text-align: center; --cell-justify: center"><p>$D$</p></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center">Number of students</td><td style="text-align: center; --cell-justify: center"><p>$16$</p></td><td style="text-align: center; --cell-justify: center"><p>$28$</p></td><td style="text-align: center; --cell-justify: center"><p>$21$</p></td><td style="text-align: center; --cell-justify: center"><p>$12$</p></td></tr></tbody></table></div></div>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767697968109-3auxxpz6tsi.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc2OTc5NjgxMDktM2F1eHhwejZ0c2kucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2Mjg4MiwiZXhwIjoxNzkyNjYzMTgyfQ.ItDTAsY4Jm4vjhUPX4LTuRxFfBmsXIgsX4i2rbyyjwA" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list" start="2"><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">The table below shows the percentage of four types of products produced by a factory, respectively. Construct a pie chart using the figure below and the data from the table, stating clearly the degree of each sector, production in percentage and the type of each product.</div></li></ol>
<div class="content-block content-block--table"><div class="table-container"><table style="width: 100%;"><thead><tr style="height: 43px;"><th style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">Type</th><th style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">I</th><th style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">II</th><th style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">III</th><th style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">IV</th></tr></thead><tbody><tr style="height: 43px;"><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">Production in percentage</td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center"><p>$25\%$</p></td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center"><p>$50\%$</p></td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center"><p>$20\%$</p></td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center"><p>$5\%$</p></td></tr></tbody></table></div></div>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767698069825-kc0bpuwrej.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc2OTgwNjk4MjUta2MwYnB1d3Jlai5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkyNjYyODgyLCJleHAiOjE3OTI2NjMxODJ9.rwJN277Opn66PJvOYH3xXGTo-1FQWTcXdh_r4mvixdM" style="max-width: min(250px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list" start="3"><li data-list-item-id="item-iii" data-list-item-path="item-iii"><div class="list-item-paragraph">The table below shows the number of employees that a company hires from $1995$ to $2020$, respectively. </div></li></ol>
<div class="content-block content-block--table"><div class="table-container"><table style="width: 100%;"><thead><tr style="height: 40px;"><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center">Year</th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$1995$</p></th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$2000$</p></th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$2005$</p></th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$2010$</p></th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$2015$</p></th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$2020$</p></th></tr></thead><tbody><tr style="height: 43px;"><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">Number of employees</td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center"><p>$36$</p></td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center"><p>$49$</p></td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center"><p>$60$</p></td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center"><p>$55$</p></td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center"><p>$63$</p></td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center"><p>$72$</p></td></tr></tbody></table></div></div>
<p>Construct a line graph using the grids below and the data from the table.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767698124528-4t9b2zhe8.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc2OTgxMjQ1MjgtNHQ5YjJ6aGU4LnBuZyIsInNjb3BlIjoiZG93bmxvYWQiLCJpYXQiOjE3OTI2NjI4ODIsImV4cCI6MTc5MjY2MzE4Mn0.hdyurkKFvfB6ersDuJgGqf7AWOZma1u26BK8nh7FSMQ" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>

Construct a line graph using the grids below and the data from the table.

<p>The line graph below shows the unit price of a product over several months of a year.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767697661114-by6ntbz0wbo.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc2OTc2NjExMTQtYnk2bnRiejB3Ym8ucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2Mjg4MiwiZXhwIjoxNzkyNjYzMTgyfQ.ABsgXg4GAwPd1YBDBYxqccIMSlvm0TtyM0ZCZF5yCgM" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Using the data from the line graph, complete the table below.</span></div></li></ol>
<div class="content-block content-block--table"><div class="table-container"><table><thead><tr style="height: 40px;"><th style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">Month</th><th style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">Jan</th><th style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">Feb</th><th style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">Mar</th><th style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">Apr</th><th style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">May</th><th style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">Jun</th><th style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">Jul</th><th style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">Aug</th><th style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">Sep</th></tr></thead><tbody><tr style="height: 40px;"><td style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">Unit price ($)</td><td style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">195</td><td style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">175</td><td style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start"></td><td style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start"></td><td style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start"></td><td style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start"></td><td style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">180</td><td style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">195</td><td style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">210</td></tr></tbody></table></div></div>
<ol class="i-list" start="2"><li><div class="list-item-content"><span class="list-item-text">Find the percentage increase in the unit price of the product from May to September.</span></div></li><li><div class="list-item-paragraph">From September to December, given that the monthly decrement in the unit price of the product is $\$10$, complete the line graph above.</div></li></ol>

The line graph below shows the unit price of a product over several months of a year.

Using the data from the line graph, complete the table below.

Find the percentage increase in the unit price of the product from May to September.

<p>The line graph below shows the height of a plant in $6$ months.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767697497359-l7wtdpqqwzo.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc2OTc0OTczNTktbDd3dGRwcXF3em8ucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2Mjg4MiwiZXhwIjoxNzkyNjYzMTgyfQ.aEU4Pjy5xNRCnRCyq1iXwjaqG5hav5fl6b6Jz9zCAaY" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Using the data from the line graph, complete the table below.</span></div></li></ol>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767697513141-ot1s2kcxkof.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc2OTc1MTMxNDEtb3QxczJrY3hrb2YucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2Mjg4MiwiZXhwIjoxNzkyNjYzMTgyfQ.ecPvD0N-kadnrUzohP6KkXoMF7mHT4gV1rjykohQ3zE" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list" start="2"><li><div class="list-item-paragraph">Find the percentage increase in the height of the plant from month $2$ to month $4$, correcting your answer to $3$ significant figures.</div></li></ol>

The line graph below shows the height of a plant in $6$ months.

<p>The line graph below shows Ben’s and John’s savings over a period of $6$ months.</p>
<p>Use the information provided to answer each of the following questions.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1764467719897-rna8qxnbkt.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjQ0Njc3MTk4OTctcm5hOHF4bmJrdC5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkyNjYyODgyLCJleHAiOjE3OTI2NjMxODJ9.chlfOLvMx1vR68fcdXChGIcHKduTEk1eMBEZ4bpg7fc" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="abc-list"><li><div class="list-item-paragraph">Calculate Ben’s average savings for the $6$ months.</div></li><li><div class="list-item-paragraph">If John gets an allowance of $\$4.50$ a day, calculate the amount of money John spent per day in May. Give your answer to the nearest $10$ cents. (Take $1$ month$=31$ days)</div></li><li><div class="list-item-paragraph">In July, John saved $\frac{3}{5}$ as much as he saved in February, while Ben saved $15\%$ less than the amount he saved in April.</div><ol class="i-list"><li><div class="list-item-paragraph">Calculate the amount John saved in July.</div></li><li><div class="list-item-paragraph">Calculate the amount Ben saved in July.</div></li><li><div class="list-item-paragraph">Find their total savings in July.</div></li></ol></li></ol>

The line graph below shows Ben’s and John’s savings over a period of $6$ months.

Use the information provided to answer each of the following questions.

Line Graph of Monthly Savings: Ben vs John

<p>The amount of pocket money $24$students get daily is given 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">$7$</th><th style="text-align: left; --cell-justify: flex-start">$5$</th><th style="text-align: left; --cell-justify: flex-start">$8$</th><th style="text-align: left; --cell-justify: flex-start">$10$</th><th style="text-align: left; --cell-justify: flex-start">$6$</th><th style="text-align: left; --cell-justify: flex-start">$8$</th><th style="text-align: left; --cell-justify: flex-start">$10$</th><th style="text-align: left; --cell-justify: flex-start">$9$</th><th style="text-align: left; --cell-justify: flex-start">$7$</th><th style="text-align: left; --cell-justify: flex-start">$7$</th><th style="text-align: left; --cell-justify: flex-start">$9$</th><th style="text-align: left; --cell-justify: flex-start">$10$</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">$4$</td><td style="text-align: left; --cell-justify: flex-start">$10$</td><td style="text-align: left; --cell-justify: flex-start">$7$</td><td style="text-align: left; --cell-justify: flex-start">$7$</td><td style="text-align: left; --cell-justify: flex-start">$4$</td><td style="text-align: left; --cell-justify: flex-start">$6$</td><td style="text-align: left; --cell-justify: flex-start">$7$</td><td style="text-align: left; --cell-justify: flex-start">$6$</td><td style="text-align: left; --cell-justify: flex-start">$8$</td><td style="text-align: left; --cell-justify: flex-start">$5$</td><td style="text-align: left; --cell-justify: flex-start">$8$</td><td style="text-align: left; --cell-justify: flex-start">$6$</td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-paragraph">Complete the table below.</div><div class="table-container"><table><thead><tr><th style="text-align: left; --cell-justify: flex-start">Amount of Pocket Money ($)</th><th style="text-align: left; --cell-justify: flex-start">Tally</th><th style="text-align: left; --cell-justify: flex-start">Frequency</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">$4$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">$5$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">$6$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">$7$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">$8$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">$9$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">$10$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr></tbody></table></div></li><li><div class="list-item-paragraph">Draw a line graph on the axes provided to illustrate the distribution.</div></li><li><div class="list-item-paragraph">What is the most common amount of pocket money the students get?</div></li><li><div class="list-item-paragraph">Calculate the total amount of pocket money the students get.</div></li></ol>

The amount of pocket money $24$students get daily is given below.

Constructing and Interpreting Frequency Tables

Line Graph of Students’ Daily Pocket Money

<p>The line graph below shows the change in body temperature of a male patient from $8.00$ am to $11$ pm.  The temperatures are taken every $3$ hours. The normal temperature of a person is approximately $37{}^\circ \mathrm{C}$.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1764466324545-xrqoyqagmu.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjQ0NjYzMjQ1NDUteHJxb3lxYWdtdS5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkyNjYyODgyLCJleHAiOjE3OTI2NjMxODJ9.LSFQCVU10OycdfZOizasOy0jPddiL3fEdWEpAz9gbhY" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="abc-list"><li data-list-item-id="item-1764466329994-09ci9wr1w" data-list-item-path="item-1764466329994-09ci9wr1w"><div class="list-item-paragraph">State the period of decline of his temperature till it reaches normal.</div></li><li data-list-item-id="item-1764466330518-783brbg7o" data-list-item-path="item-1764466330518-783brbg7o"><div class="list-item-paragraph">State which is the $3$ hours period of highest increase in the temperature and state the 	percentage increase in the numerical Celsius reading.</div></li><li data-list-item-id="item-1764466331044-3v7c3zk79" data-list-item-path="item-1764466331044-3v7c3zk79"><div class="list-item-paragraph">Calculate the mean of the six recorded temperatures from $8$ am to $11$ pm.</div></li></ol>

The line graph below shows the change in body temperature of a male patient from $8.00$ am to $11$ pm.  The temperatures are taken every $3$ hours. The normal temperature of a person is approximately $37{}^\circ \mathrm{C}$.

Line Graph Showing Body Temperature Changes in a Patient

<p>The graph shows the average price of petrol per litre, in the first nine months of a particular year.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1764465483930-06zgohwuc3m7.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjQ0NjU0ODM5MzAtMDZ6Z29od3VjM203LnBuZyIsInNjb3BlIjoiZG93bmxvYWQiLCJpYXQiOjE3OTI2NjI4ODIsImV4cCI6MTc5MjY2MzE4Mn0.lLHGRGtTBxj0xwiz_8XxjnoVPhJBClwnUYgWvf3yv9o" style="max-width: min(450px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="abc-list"><li><div class="list-item-paragraph">State the month with the highest price of petrol.</div></li><li><div class="list-item-paragraph">Find the ratio of the price of petrol in the month of April to the month of September.</div></li><li><div class="list-item-paragraph">Express as a fraction of the first nine months, the number of months with petrol prices greater than $\$1.50$ per litre.<br></div></li><li><div class="list-item-paragraph">Find the percentage increase in the price of petrol between January and September.</div></li><li><div class="list-item-paragraph">Steven needs to go to Town $S$ in June which is $264$ km away.  Assuming his car is able to travel $12$ km on a litre of petrol, calculate the amount he will spend on petrol for the trip.</div></li><li><div class="list-item-paragraph">On a certain month, Sebastian went to a petrol kiosk and paid $\$50$ to fill his car with $40$ litres of petrol.  Find the month that Sebastian went to the petrol kiosk.</div></li></ol>

The graph shows the average price of petrol per litre, in the first nine months of a particular year.

Calculating Rates and Quantities

Simplifying Ratios

Line Graph

Ratio, Rate and Speed

<p>In a spelling test, the number of mistakes made by each of the $40$ pupils in a Primary One class is given below:</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 500px;"><colgroup><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"></colgroup><thead><tr style="height: 23px;"><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$6$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$0$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$2$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$2$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$5$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</th></tr></thead><tbody><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$6$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$2$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$2$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$1$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$5$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$0$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$5$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$2$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$0$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$2$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$6$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$1$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$0$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$2$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$5$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$1$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$0$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-paragraph">Complete the frequency table below.</div><div class="table-container"><table style="width: 100%;"><thead><tr><th style="text-align: center; --cell-justify: center">No. of mistakes ($n$)</th><th style="text-align: center; --cell-justify: center">Tally</th><th style="text-align: center; --cell-justify: center">No. of pupils ($f$)</th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center">$0$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center">$1$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center">$2$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center">$3$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: center; --cell-justify: center">$10$</td></tr><tr><td style="text-align: center; --cell-justify: center">$4$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center">$5$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center">$6$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center">Total</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: center; --cell-justify: center">$40$</td></tr></tbody></table></div></li><li><div class="list-item-paragraph">Draw a line graph to illustrate the data. </div></li><li><div class="list-item-paragraph">What is the most common number of mistakes?</div></li><li><div class="list-item-paragraph">What is the total number of mistakes made?</div></li></ol>

In a spelling test, the number of mistakes made by each of the $40$ pupils in a Primary One class is given below:

Data Handling: Mistakes in a Spelling Test

<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1764463218036-rra4biv9gwi.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjQ0NjMyMTgwMzYtcnJhNGJpdjlnd2kucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2Mjg4MiwiZXhwIjoxNzkyNjYzMTgyfQ.S6CAeb97cAex90hQtQ2wjyjUFptD8zJSPgOojXlmCXE" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<p>The line graph above shows the daily noon temperature recorded by Sandy for her Chemistry project for the month of September.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">What was the lowest noon temperature for the month?</div></li><li><div class="list-item-paragraph">What was the most common noon temperature for the month?</div></li><li><div class="list-item-paragraph">Calculate the percentage of days when the noon temperatures were not higher than 	$25{}^\circ \mathrm{C}$.</div></li></ol>

The line graph above shows the daily noon temperature recorded by Sandy for her Chemistry project for the month of September.

Math Question Bank