Robinson Tuition
Grade 3 · Foundation · free GCSE maths worksheet

Reading pie charts

Finding frequencies from angles.

13 original questions, 40 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

In a pie chart showing how pupils travel to school, the angle for the sector 'bus' is 120°.

Write down the fraction of the pupils who travel by bus. Give your fraction in its simplest form.

1 mark
Show answer
1/3
2

In a pie chart the angle for the sector 'cycling' is 54°.

Work out the percentage of people who cycle.

2 marks
Show answer
15%
3

60 people were asked to name their favourite season. The results are shown in a pie chart.

The angle for Summer is 90°.

  1. Write down the fraction of the people who chose Summer. Give your fraction in its simplest form.
  2. Work out the number of people who chose Summer.
2 marks
Show answer
a) 1/4 b) 15
4

90 people were asked how they travel to work. In a pie chart of the results, the angle for 'walking' is 72°.

Work out the number of people who walk to work.

2 marks
Show answer
18
5

A pie chart shows information about the members of a leisure centre.

The sector for swimming has an angle of 72° and represents 18 members.

Work out the total number of members of the leisure centre.

3 marks
Show answer
90
6

36 pupils chose their favourite sport. The table shows the angles in a pie chart of the results.

SportFootballNetballSwimmingTennis
Angle160°90°?50°
  1. Work out the angle for swimming.
  2. Work out the number of pupils who chose football.
3 marks
Show answer
a) 60 b) 16
7

120 people were asked to name their favourite holiday destination. The table shows the angles in a pie chart of the results.

DestinationAngle
Italy150°
Spain90°
France72°
Greece48°
  1. Write down the modal destination.
  2. Work out the number of people who chose France.
3 marks
Show answer
a) Italy b) 24
8

A family spends £1800 each month. A pie chart shows how the money is spent. The angle for rent is 120° and the angle for savings is 30°.

  1. Work out how much is spent on rent.
  2. Write down the fraction of the money that is saved. Give your fraction in its simplest form.
3 marks
Show answer
a) 600 b) 1/12
9

Two schools each drew a pie chart to show their students' favourite lunch.

SchoolNumber of studentsAngle for pizza
School A8045°
School B24030°

Sam says, "More students chose pizza at School A than at School B, because the angle for pizza is bigger at School A."

Is Sam right? You must show your working.

4 marks
Show answer
No. School A: 45360 of 80 = 10 students. School B: 30360 of 240 = 20 students. More students chose pizza at School B
10

72 students were asked how they travel to school. In a pie chart, the angle for car is 100° and the angle for bus is 80°. The sectors for walking and cycling have the same angle.

Work out the number of students who walk.

4 marks
Show answer
18
11

200 people entered a raffle. A pie chart shows the colours of the tickets they bought.

The angle for red tickets is 126°.

  1. Work out the number of people who bought a red ticket.
  2. One of the 200 people is chosen at random. Write down the probability that this person bought a red ticket. Give your answer as a fraction in its simplest form.

Each person bought exactly one ticket.

4 marks
Show answer
a) 70 b) 7/20
12

150 students chose a language to study. In a pie chart, the angle for French is 144° and the angle for Spanish is 108°. The rest chose German.

  1. Work out the angle for German.
  2. How many more students chose French than German?
4 marks
Show answer
a) 108 b) 15
13

300 people voted for the name of a new park. A pie chart shows the results.

The angle for Alder Park is 96° and the angle for Birch Park is 144°. The only other choice was Cedar Park.

  1. Work out the angle for Cedar Park.
  2. Work out the number of people who voted for Cedar Park.
  3. Work out how many more people voted for Birch Park than for Alder Park.
5 marks
Show answer
a) 120 b) 100 c) 40

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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