Pie Chart Practice Questions
Pie chart questions follow a small set of predictable patterns. Once you know them, they become one of the most reliable marks on any test. This page walks you through the key methods with worked examples.
The Rules Every Pie Chart Question Uses
Almost every pie chart question tests one (or more) of these four ideas. Understanding them before you practise makes everything click faster.
🔵 Rule 1: A full circle = 360°
All sectors must add up to exactly 360°. If you're given four sectors and one is missing, simply subtract the rest from 360.
Example: Sectors of 90°, 120°, 75° → missing sector = 360 − 90 − 120 − 75 = 75°
🟠 Rule 2: Angle → Fraction → Amount
A sector angle represents a fraction of the whole group. Write the angle over 360, simplify if you can, then multiply by the total.
Example: 90° sector, 200 people total → 90360 = 14 → 14 × 200 = 50 people
🟢 Rule 3: Working backwards to find the total
If you know how many people are in one sector and its angle, you can reverse-calculate the total. Divide the count by the fraction.
Example: 50° sector = 100 people → 50360 = 536 → total = 100 ÷ 5 × 36 = 720
🔴 Rule 4: Angle → Percentage
To convert a sector to a percentage, divide the angle by 360 and multiply by 100. Round as instructed — usually to 1 decimal place.
Example: 80° sector → 80360 × 100 = 22.2%
How to Solve Pie Chart Questions
One straightforward, one multi-step, and one classic mistake to avoid.
1. Finding the Total from a Sector
Question: A pie chart shows the favourite sports of 120 students. The 'Football' sector has an angle of 90°. How many students chose Football?
Worked Method
What it's testing: Rule 2 — converting an angle to a fraction, then finding a portion of the total.
How to solve it: 90° is exactly one quarter (14) of 360°. So find 14 of 120 students.
120 ÷ 4 = 30 students
Tip: Always check if the angle simplifies to a clean fraction (90° = 14, 120° = 13, 180° = 12). It saves time and reduces errors.
2. Working Backwards to Find the Total
Question: In a survey, 60 people chose 'Green' as their favourite colour. The 'Green' sector on the pie chart has an angle of 50°. How many people took part in the survey in total?
Worked Method
What it's testing: Rule 3 — reversing from a sector count to the full total.
Step 1 — Write the sector as a fraction:
50° out of 360° = 50360 = 536
Step 2 — If 536 of the total = 60, find the whole:
Total = 60 ÷ 5 × 36 = 432
Tip: The shortcut is: divide the count by the numerator, then multiply by the denominator. Exam questions always give numbers that produce a clean whole-number answer.
3. Comparing Two Pie Charts
Question: Pie Chart A shows results for Class 1. The 'Maths' sector is 120°. Pie Chart B shows results for Class 2. The 'Maths' sector is 90°. Does Class 1 have more students who chose Maths?
Worked Method
What students do wrong: They see a larger angle (120° > 90°) and immediately say "Yes, Class 1 has more."
The reality: A larger angle only means a larger proportion — not a larger number. If Class 1 has 20 students and Class 2 has 200 students:
Class 1 Maths: 120360 × 20 = 6.7 students
Class 2 Maths: 90360 × 200 = 50 students
The rule: You can never compare actual numbers between two different pie charts based on angles alone. You always need to know each chart's total.
Before You Buy
Want to check the level and layout first? Download the free 3-question sample. It uses the same question style, printable format, and answer-key approach as the full pack.
Download Free Sample PDFGet the Full Practice Pack
The full pack has 60 pie chart questions across 3 test sets, each with its own diagram — covering all the patterns above. Step-by-step answer keys included.
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