The pie chart below shows the favourite ball games of a group of students. Part of the data is also represented in the bar graph below.

  1. (a)

    What percentage of the students chose soccer as their favourite ball game?

  2. (b)

    How many students were there in the group?

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Worked solution

12(a)

1. Identify the angle representing soccer and convert it to a percentage

The angle for soccer is a right angle, which is 90∘90^\circ.
Percentage=90∘360∘×100%=25%\text{Percentage} = \frac{90^\circ}{360^\circ} \times 100\% = 25\%

Answer

25%25\%

12(b)

1. Read the number of students who chose soccer from the bar graph

From the bar graph, the number of students who chose soccer is 120120.

2. Use the pie chart angle to find the total number of students

From the pie chart, soccer is represented by a right angle (90∘90^\circ), which is 90360=14\frac{90}{360} = \frac{1}{4} of the total.
Let the total number of students be TT.
14T=120\frac{1}{4} T = 120
T=120×4=480T = 120 \times 4 = 480

Answer

480480

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