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.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NzIzMjI5NDUtZjY4bTlxeGVpNmIucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2MjYxOCwiZXhwIjoxNzkyNjYyOTE4fQ.nysrv90mMcBz6UkzxEj8uZvTc_gmg1UPADk_E8oDT-s" 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.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNi9FeHRyYS1QcmFjdGljZS1RMzAtaS1kaWFncmFtLTEucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2MjYxOCwiZXhwIjoxNzkyNjYyOTE4fQ.Nw96KLsZGJXeeatz4-FFtM2DyqdmzVtwMowDG2Wo59E" 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.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNi9FeHRyYS1QcmFjdGljZS1RMzAtaS1kaWFncmFtLTItNjI0eDM2Mi5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkyNjYyNjE4LCJleHAiOjE3OTI2NjI5MTh9.XA6L9xr5wk7mv2faRRjqVh5XYx9u64oclvBT1dNetOg" 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.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNi9FeHRyYS1QcmFjdGljZS1RMzAtaWktZGlhZ3JhbS0tNjI0eDM5Ni5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkyNjYyNjE4LCJleHAiOjE3OTI2NjI5MTh9.RYUNVNI6fpYG4ouM4BGI6EZfhswv5iNLLPrn1wTZiKc" 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.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNi9FeHRyYS1QcmFjdGljZS1RMzAtaWlpLWRpYWdyYW0tLTYyNHg5MS5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkyNjYyNjE4LCJleHAiOjE3OTI2NjI5MTh9.7zYV6RbJ8xXCXo_nQOntfE0_KFJc3rJjleFfSTfiqm4" 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.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNi9FeHRyYS1QcmFjdGljZS1RMzAtdi1kaWFncmFtLS02MjR4MzMyLnBuZyIsInNjb3BlIjoiZG93bmxvYWQiLCJpYXQiOjE3OTI2NjI2MTgsImV4cCI6MTc5MjY2MjkxOH0.C5E9hHYNu27YWTVmsKb0zXNDFwTgJPCkBdcvSjkMtu8" 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 following bar graph shows the population age structure of Country A and Country 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/1767762657081-yvzzv2z4k3j.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NjI2NTcwODEteXZ6enYyejRrM2oucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2MjYxOCwiZXhwIjoxNzkyNjYyOTE4fQ.rnyc4khDakZjkGmogDVTa_mKi5m2JYrtYJ1WtPi9ZaQ" 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 total population of Country A and Country B, respectively.</span></div></li><li><div class="list-item-paragraph">Express the population aged from $20$ to $59$ (working population)* as a percentage of the total population of Country A and Country B, respectively, correcting your answers to $3$ significant figures.</div></li><li><div class="list-item-paragraph">Express the population aged $60$ and above (aging population)* as a percentage of the total population of Country A and Country B, respectively, correcting your answers to $3$ significant figures.</div></li><li><div class="list-item-content"><span class="list-item-text">Based on your answers in (ii) and (iii), state which country has a higher proportion of the working population, and which country has a more serious population aging.</span></div></li></ol>

The following bar graph shows the population age structure of Country A and Country B.

Find the total population of Country A and Country B, respectively.

Based on your answers in (ii) and (iii), state which country has a higher proportion of the working population, and which country has a more serious population aging.

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.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NjI0MjI2MDAtZ2p3bWc5NGxvNmQucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2MjYxOCwiZXhwIjoxNzkyNjYyOTE4fQ.Rmorl8xofgvartdfY1sn47YjVdvh5mgmvZNS5_oWXTM" 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.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNS9RdWVzdGlvbi0yMC1paWktZGlhZ3JhbS02MjR4MzcwLnBuZyIsInNjb3BlIjoiZG93bmxvYWQiLCJpYXQiOjE3OTI2NjI2MTgsImV4cCI6MTc5MjY2MjkxOH0.mBn8a7duQeJXqsqNtD2BLwcdZkNZgsVrtxqryDkcIi8" 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 $18$.

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

<p>The bar graph below shows the annual sales of $4$ different products of a company in $3$ cities in $2022$.</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/1767760647112-jn4bhe6bjua.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NjA2NDcxMTItam40YmhlNmJqdWEucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2MjYxOCwiZXhwIjoxNzkyNjYyOTE4fQ.3_fu73ZOdJZpMnP7UsYDkZdV-V4Km9B8uXOGek2aWtE" 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 the total sales of Product A and the total sales of Product B in all $3$ cities, respectively.</div></li><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">Find the total sales of all products in City I and the total sales of all products in City II, respectively.</div></li><li data-list-item-id="item-iii" data-list-item-path="item-iii"><div class="list-item-paragraph">State one characteristic of the sales of Product A in $3$ cities.</div></li><li data-list-item-id="item-iv" data-list-item-path="item-iv"><div class="list-item-paragraph">State one observation about sales in City III.</div></li></ol>

The bar graph below shows the annual sales of $4$ different products of a company in $3$ cities in $2022$.

Find the total sales of all products in City I and the total sales of all products in City II, respectively.

State one observation about sales in City III.

<p>The bar graph below shows the test results of a class of students on five subjects.</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/1767699755135-liw7ty91rae.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc2OTk3NTUxMzUtbGl3N3R5OTFyYWUucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2MjYxOCwiZXhwIjoxNzkyNjYyOTE4fQ.MpGcpP0hZGvj4o6d4cnx6EFk6v65HuPqwvT00r0cs6o" 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">Given that each student took tests on all five subjects, find the total number of students of the class.</div></li><li><div class="list-item-paragraph">Find the number of students who passed the test on Mathematics and English, respectively.</div></li><li><div class="list-item-paragraph">Find the number of students who failed the test on Physics and Chemistry, respectively.</div></li><li><div class="list-item-paragraph">Find the passing rate of Biology, expressed by the number of students who passed the test on Biology as a percentage of the total number of students of the class.</div></li><li><div class="list-item-paragraph">Without giving numerical calculations, state which subject has the lowest passing rate among the students of the class.</div></li></ol>

The bar graph below shows the test results of a class of students on five subjects.

<p>The table below shows the age distribution of the researchers in an institute.</p>
<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">Age range</th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$20 - 29$</p></th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$30 - 39$</p></th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$40 - 49$</p></th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$&gt; 49$</p></th></tr></thead><tbody><tr style="height: 40px;"><td style="height: 40px; min-height: 40px; text-align: left; --cell-justify: flex-start">Number of researchers</td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$35$</p></td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$30$</p></td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$20$</p></td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$x$</p></td></tr></tbody></table></div></div>
<ol class="i-list"><li><div class="list-item-paragraph">Given that $15%$ of the researchers are aged above $49$, find the value of $x$.</div></li><li><div class="list-item-paragraph">Determine which age range does each sector represents in the pie chart below, hence express each part as a percentage of the whole and find the angles 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/2024/05/Question-12-ii-diagram-1.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNS9RdWVzdGlvbi0xMi1paS1kaWFncmFtLTEucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2MjYxOCwiZXhwIjoxNzkyNjYyOTE4fQ.czvZG1a0XEauezihYOutK_eu1rnQInOMZGCHi8eqKw8" alt="List item image" class="aligncenter custom-width" style="max-width: min(300px, 100%); height: auto;" /></div></li><li><div class="list-item-paragraph">Construct a bar graph using the grids below to illustrate the data.</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-12-iii-diagram-624x408.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNS9RdWVzdGlvbi0xMi1paWktZGlhZ3JhbS02MjR4NDA4LnBuZyIsInNjb3BlIjoiZG93bmxvYWQiLCJpYXQiOjE3OTI2NjI2MTgsImV4cCI6MTc5MjY2MjkxOH0.-7EC1B67C7oYlK2SZXRmSEszC1Tpyk0FyXmU8xSVCHU" alt="List item image" class="aligncenter custom-width" style="max-width: min(300px, 100%); height: auto;" /></div></li></ol>
<p>The institute then hires a certain number of researchers aged between $40$ and $49$, such that the new number of researchers aged between $40$ and $49$ is $\frac{1}{3}$ of the new total number of researchers of the institute.</p>
<ol class="i-list" start="4"><li><div class="list-item-paragraph">Given that there is no other change in the number of researchers of the institute, express the number of researchers aged between $30$ and $39$ as a percentage of the new total number of researchers of the institute.</div></li></ol>

The table below shows the age distribution of the researchers in an institute.

Determine which age range does each sector represents in the pie chart below, hence express each part as a percentage of the whole and find the angles of each sector.

Construct a bar graph using the grids below to illustrate the data.

The institute then hires a certain number of researchers aged between $40$ and $49$, such that the new number of researchers aged between $40$ and $49$ is $\frac{1}{3}$ of the new total number of researchers of the institute.

 Pie Charts, Line Graphs

<p>The table below shows the age distribution of the researchers in an institute.</p>
<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">Age range</th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$20 - 29$</p></th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$30 - 39$</p></th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$40 - 49$</p></th><th style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$&gt; 49$</p></th></tr></thead><tbody><tr style="height: 40px;"><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center">Number of researchers</td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$35$</p></td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$30$</p></td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$20$</p></td><td style="height: 40px; min-height: 40px; text-align: center; --cell-justify: center"><p>$x$</p></td></tr></tbody></table></div></div>
<ol class="i-list"><li data-list-item-id="item-i" data-list-item-path="item-i"><div class="list-item-paragraph">Given that&nbsp;$15\%$ of the researchers are aged above $49$, find the value of $x$.</div></li><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">Determine which age range does each sector represents in the pie chart below, hence express each part as a percentage of the whole and find the angles 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/2024/05/Question-12-ii-diagram-1.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNS9RdWVzdGlvbi0xMi1paS1kaWFncmFtLTEucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2MjYxOCwiZXhwIjoxNzkyNjYyOTE4fQ.czvZG1a0XEauezihYOutK_eu1rnQInOMZGCHi8eqKw8" alt="List item image" class="aligncenter custom-width" style="max-width: min(300px, 100%); height: auto;" /></div></li><li data-list-item-id="item-iii" data-list-item-path="item-iii"><div class="list-item-paragraph">Construct a bar graph using the grids below to illustrate the data.</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-12-iii-diagram-624x408.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvbWlncmF0ZWQvMjAyNC8wNS9RdWVzdGlvbi0xMi1paWktZGlhZ3JhbS02MjR4NDA4LnBuZyIsInNjb3BlIjoiZG93bmxvYWQiLCJpYXQiOjE3OTI2NjI2MTgsImV4cCI6MTc5MjY2MjkxOH0.-7EC1B67C7oYlK2SZXRmSEszC1Tpyk0FyXmU8xSVCHU" alt="List item image" class="aligncenter custom-width" style="max-width: min(300px, 100%); height: auto;" /></div></li></ol>
<p>The institute then hires a certain number of researchers aged between $40$ and $49$, such that the new number of researchers aged between $40$ and $49$ is $\frac{1}{3}$ of the new total number of researchers of the institute.</p>
<ol class="i-list" start="4"><li data-list-item-id="item-iv" data-list-item-path="item-iv"><div class="list-item-paragraph">Given that there is no other change in the number of researchers of the institute, express the number of researchers aged between $30$ and $39$ as a percentage of the new total number of researchers of the institute.</div></li></ol>

The institute then hires a certain number of researchers aged between $40$ and $49$, such that the new number of researchers aged between $40$ and $49$ is $\frac{1}{3}$ of the new total number of researchers of the institute.

Pie Charts, Line Graphs

<p>Four candidates, A, B, C and D are running for the President of the university’s student union. The votes that each candidate gets are given below:</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 400px;"><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;"></colgroup><thead><tr style="height: 50px;"><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">D</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</th></tr></thead><tbody><tr style="height: 50px;"><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">D</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</td></tr><tr style="height: 50px;"><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">D</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">D</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td></tr><tr style="height: 50px;"><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">D</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">D</td></tr><tr style="height: 50px;"><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">D</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td></tr></tbody></table></div></div>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Using the data from the table, complete the frequency table below.</span></div></li></ol>
<div class="content-block content-block--table"><div class="table-container"><table style="width: 100%;"><thead><tr><th style="text-align: left; --cell-justify: flex-start">Candidate</th><th style="text-align: left; --cell-justify: flex-start">Tally</th><th style="text-align: left; --cell-justify: flex-start">Number of votes ($f$)</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">A</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">B</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">C</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">D</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="2"><li><div class="list-item-content"><span class="list-item-text">Construct a bar graph using the grids below to illustrate the data.</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/1767698730889-w1pke3uuqep.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc2OTg3MzA4ODktdzFwa2UzdXVxZXAucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2MjYxOCwiZXhwIjoxNzkyNjYyOTE4fQ.PLJjppqevzmb0IFDFT4yxjx9a95XSYgovlR7nKjwfKs" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list" start="3"><li><div class="list-item-paragraph">State which candidate wins the election. Hence express the number of the winning candidate’s votes as a percentage of the total number of votes.</div></li><li><div class="list-item-paragraph">Explain with clear reasons why a line graph is not as suitable as a bar graph to illustrate the data in this question.</div></li></ol>

Four candidates, A, B, C and D are running for the President of the university’s student union. The votes that each candidate gets are given below:

Using the data from the table, complete the frequency table below.

Constructing and Interpreting Frequency Tables

 Line Graphs

<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.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc2OTc5NjgxMDktM2F1eHhwejZ0c2kucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2MjYxOCwiZXhwIjoxNzkyNjYyOTE4fQ.YXYLyUu0075xHieHIPVna1G-RjmLqTMbV0UZ7lFzsCQ" 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.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc2OTgwNjk4MjUta2MwYnB1d3Jlai5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkyNjYyNjE4LCJleHAiOjE3OTI2NjI5MTh9.e2G77kvfD0UwUK52KJHxMRh3mGrj0aW5PMZfi6M0aI4" 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.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc2OTgxMjQ1MjgtNHQ5YjJ6aGU4LnBuZyIsInNjb3BlIjoiZG93bmxvYWQiLCJpYXQiOjE3OTI2NjI2MTgsImV4cCI6MTc5MjY2MjkxOH0.WzAwXS12pWnje5hFxTjROoH7AuL_EjPbQ7oJH4LwWZ8" 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 bar graph below shows the number of vehicles passing a traffic junction every three hours of a day.</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/1767697200693-1pydkj0bar4.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc2OTcyMDA2OTMtMXB5ZGtqMGJhcjQucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2MjYxOCwiZXhwIjoxNzkyNjYyOTE4fQ.00inGv5kRw9RB5iq7iJOmcNUQRImNbUnyw1mDEorXgY" 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">Find the timeslot during which the number of vehicles passing the traffic junction is the greatest on this day.</span></div></li><li><div class="list-item-paragraph">Find the total number of vehicles passing the traffic junction from $05:00$ to $23:00$ on this day.</div></li><li><div class="list-item-paragraph">Express the least number of vehicles passing through the traffic junction during a $3$-hour timeslot above as a percentage of the total number of vehicles passing the traffic junction from $05:00$ to $23:00$ on this day, correcting your answer to $3$ significant figures.</div></li></ol>

The bar graph below shows the number of vehicles passing a traffic junction every three hours of a day.

Find the timeslot during which the number of vehicles passing the traffic junction is the greatest on this day.

<p>The bar graph below shows the result of a survey on the favourite fruit of a group of students.</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/1767697045031-miecmm9op1d.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc2OTcwNDUwMzEtbWllY21tOW9wMWQucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2MjYxOCwiZXhwIjoxNzkyNjYyOTE4fQ.YnZiQbQK0GjuaXdmvvMKxpCAs-qNg07huhc9W4J7Dr0" 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">Complete the bar graph above if there are $148$
 students whose favourite fruit is orange.</div></li><li><div class="list-item-paragraph">Find the total number of students included in the survey, assuming each student only selects one type of favourite fruit.</div></li><li><div class="list-item-paragraph">Express the number of students whose favourite fruit is grape as a percentage of the total number of students included in the survey</div></li></ol>

The bar graph below shows the result of a survey on the favourite fruit of a group of students.

<p>The bar graph shows the number of muffins Mrs Leong sold in a particular week.</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/1764410029481-6a4jyude9mt.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjQ0MTAwMjk0ODEtNmE0anl1ZGU5bXQucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2MjYxOCwiZXhwIjoxNzkyNjYyOTE4fQ.dXuzzKFeAo1WK64Pyd3KZy6YeuIyhNiEIPjMvjF_bA4" 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">The number of muffins sold on Wednesday was $\frac{3}{5}$ of the number of muffins sold on Saturday. Calculate the number of muffins sold on Saturday.</div></li><li><div class="list-item-paragraph">Complete the bar graph.</div></li><li><div class="list-item-paragraph">On which days of the week was there a drop in the sales of the muffins as compared to the previous day?</div></li><li><div class="list-item-paragraph">Find the average number of muffins sold over the $6$ days.</div></li></ol>

The bar graph shows the number of muffins Mrs Leong sold in a particular week.

Mean of Ungrouped Data

Bar Graph: Muffin Sales Over a Week

<p>The following graph shows the amount of money a company spent on training programmes for its employees in the first $4$ 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/1764409788280-m75lvhszep9.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjQ0MDk3ODgyODAtbTc1bHZoc3plcDkucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2MjYxOCwiZXhwIjoxNzkyNjYyOTE4fQ.iff3efpwrFvWG1C4_iidv45saYTGOc-uGOPxlYSNnlY" 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">Compare the amount of money spent on training programmes in the four months.</div><div class="list-item-paragraph">Express your answer in simplest ratio form in the order Jan : Feb : Mar : Apr.</div></li><li><div class="list-item-paragraph">What is the percentage increase in the amount spent from Feb to Mar?</div></li><li><div class="list-item-paragraph">Find the total amount spent in the first quarter (Jan, Feb and Mar) of the year.<br><br></div></li></ol>

The following graph shows the amount of money a company spent on training programmes for its employees in the first $4$ months of a particular year.

Percentage Increase and Decrease

Simplifying Ratios

Bar Graph: Company Training Expenditure

Ratio, Rate and Speed

<p>In a traffic survey, the number of passengers in each car passing a traffic junction was recorded.  </p>
<p>The results are displayed in the bar graph below.</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/1764409498059-3rb0n8q6iwp.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjQ0MDk0OTgwNTktM3JiMG44cTZpd3AucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY2MjYxOCwiZXhwIjoxNzkyNjYyOTE4fQ.8baaMGJZmLBQXx-XVe04O2i1B6_4F9lAtmzBZFOlz0Q" 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">Complete the bar graph above if there were $20$ cars passing the traffic junction.</div></li><li><div class="list-item-paragraph">Calculate the total number of passengers recorded.</div></li><li><div class="list-item-paragraph">Express the number of cars with at least $3$ passengers as a fraction of the total number 	of cars in its simplest form.</div></li></ol>

In a traffic survey, the number of passengers in each car passing a traffic junction was recorded.  

The results are displayed in the bar graph below.

Math Question Bank