GCSE & IGCSE maths practice

Pie charts questions and answers

A pie chart shows how a total is split up. The whole circle is $360°$ , so each item gets $360° \div \text{total}$ . Angle $= \text{frequency} \times (360 \div \text{total})$ . Reading a pie chart works backwards: frequency $= \dfrac{\text{angle}}{360} \times \text{total}$ .

8 questions · Foundation tier · Every answer is checked as you type it, with a full worked solution. Updated 27 Oct 2026.

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Where pie charts comes up

GCSE (AQA, Edexcel, OCR)	Foundation and Higher: interpret and construct pie charts for categorical data, and know when to use them.
Cambridge IGCSE (0580)	Core and Extended: draw and interpret pie charts.

The method

Degrees per item = 360 ÷ total.
Angle = frequency × degrees per item.
Frequency = angle ÷ degrees per item.
Check the angles add to 360°.

Pie charts questions

Try each one before looking at the hint. If you're stuck, the AI tutor can talk you through it step by step.

Warm-up

Question 1Warm-upFoundation

36 people were surveyed. How many degrees represent one person?

Question 2Warm-upFoundation

12 of the 36 people chose football. What angle is the football sector?

Exam-style

Question 3Exam-styleFoundation

60 people were asked their favourite drink. 15 chose tea. Find the angle for tea.

Question 4Exam-styleFoundation

A pie chart shows 150 people. A sector has angle $72°$ . How many people does it represent?

Question 5Exam-styleFoundation

A pie chart has angles $100°$ , $140°$ , $x$ and $50°$ . Find $x$ .

Question 6Exam-styleFoundation

40 people were surveyed. The sector for cats has angle $117°$ . How many people chose cats?

Challenge

Question 7ChallengeFoundation

A $90°$ sector represents 45 people. How many people does the whole pie chart represent?

Question 8ChallengeFoundation

What percentage does a $54°$ sector represent?

Common mistakes

Dividing 360 by the number of categories.
Assuming two pie charts with different totals can be compared by angle.
Angles that don't add up to 360°.

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Sources

The questions are our own. The “where it comes up” notes are from each board's published specification, checked on 26 October 2026:

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