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Pie charts

Free Printable Pie charts PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 2)

Download free pie charts worksheets (PDF), GCSE maths past paper questions and worked solutions for Pie charts (2S). This is a Grade 2 statistics topic from the GCSE questions by topic collection for Foundation and Higher tier GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Maths Genie, Corbett Maths, Maths Made Easy, 1st Class Maths, Maths DIY, Dr Austin, Dr Frost (B. Blocks), Maths4EveryOne, Metatutor, GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our pie charts revision notes and worked examples with diagrams, try real GCSE past paper pie charts questions with step-by-step solutions, or download a PDF of all pie charts worksheet links.

Free Pie charts PDF Worksheets & Answers

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GCSE Maths Grade 2 Revision Notes & Method

Guide to Pie charts: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

All the angles at the centre of a pie chart add up to 360°. To draw a pie chart, divide 360° by the total frequency to find how many degrees represent 1 item (Multiplier = 360° ÷ Total), then multiply each frequency by that angle. Always check your angles add up to 360°.

To find a frequency from a given pie chart, write the sector angle as a fraction of 360° and multiply by the total number of people: Frequency = Angle360 × Total.

Example 1: Calculate the pie chart angles for 60 students.

Travelf× 6°Angle
Walk2323×6°138°
Bus1919×6°114°
Car1818×6°108°
Walk 138° Bus 114° Car 108°
360° ÷ 60 = 6° per student. Check: 138° + 114° + 108° = 360°.

Example 2: This pie chart represents 180 people. Comedy is 90° and Action is 110°. How many people chose each?

Comedy (90°) Action 110° Other 160° Total = 180 (1 person = 2°)
• Comedy (90°): 14 of 180 = 45 people
• Action (110°): 110360 × 180 = 55 people
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Pie charts Questions & Answers

Past Paper Example 1 GCSE Jun 2025 2F Q14 4 marks
120 students in Year 10 each choose one language to study.
The table below shows information about their choices.
@@TABULAR0@@
(a) Complete the accurate pie chart to show this information. [3 marks]
135°French
(b) Is Navi correct?
Explain why you think this.
[1 mark]
Worked Solution & Mark Scheme (4 marks)
Part (a) Solution:
Total = 120 M1
Multiplier = 360° ÷ 120 = 3° per student
French = 45 × 3° = 135° (given) M1
Mandarin = 20 × 3° = 60°
Spanish = 55 × 3° = 165° A1
135°FrenchMandarin(60°)Spanish (165°)
Answer (a): Accurate pie chart completed (Mandarin 60°, Spanish 165°)
Part (b) Solution:
No, because pie charts show proportions not actual numbers of students
the total number of students in Year 11 is not given C1
Answer (b): No with reason (total number in Year 11 unknown)
Past Paper Example 2 AQA Jun 2025 3F Q18 / 3H Q5 3 marks
The pie chart represents the results of matches played by a team.
WonLostDrew132°48°
30 matches were **won**.
How many matches were lost?
Worked Solution & Mark Scheme (3 marks)
180° = 30 matches ⇒ 6° per match M2
Lost = 132° ÷ 6° = 22 matches. A1
Answer: Answer 22
Past Paper Example 3 GCSE May 2017 1F Q14 3 marks
Year 9 students from Halle School were asked to choose one language to study.
The table shows information about their choices.
LanguageNumber of studentsFrench56Spanish40German24
(a) Draw an accurate pie chart to show this information. [3 marks]
Worked Solution & Mark Scheme (3 marks)
Part (a) Solution:
Total = 56 + 40 + 24 = 120 students. 360° ÷ 120 = 3° per student M1
French = 56 × 3° = 168° M1
Spanish = 40 × 3° = 120°
German = 24 × 3° = 72° A1
French(168°)Spanish(120°)German(72°)
Answer (a): Angles: French 168°, Spanish 120°, German 72° accurately drawn and labelled

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