How many degrees does the whole pie chart represent?

The whole circle is 360°, so all sector angles add up to 360°.

How do I turn a percentage into an angle?

Write the percentage as a decimal and multiply by 360, for example 25% gives 0.25 × 360 = 90°.

What is a pie chart best at showing?

It shows each part as a share of the whole, for example each type of spending as a percentage of the total.

P6 Maths Pie Charts Paper 1: Basics

2026-11-09

Tutor Prep Guide · P6 Maths

Ten original items, each with an answer and a one-line explanation.

Direct answers　Items 1-3 are basic, 4-6 intermediate and 7-9 challenge, with item 10 as the error review. Time yourself first, then check every answer and redo the wrong ones.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10
Suggested time	20
Difficulty mix	Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1
Chapter	Chapter: P6 Maths Pie Charts
Level	P6

02　Questions (10 items)

FoundationIn a pie chart, what is the angle at the centre of a sector that takes 25%?
FoundationWhat is the angle of a sector that takes 40%?
FoundationWhat is the angle of a sector that takes 15%?
IntermediateA sector has an angle of 72°. What percentage of the whole circle is it?
IntermediateA sector has an angle of 108°. What percentage of the circle is it?
IntermediateA school has 240 pupils and 25% of them take the school bus. How many pupils is that?
ChallengeA library has 360 books. In the pie chart one category takes a sector of 90°. How many books are in that category?
Challenge45 pupils join the music club, which is 25% of the class. How many pupils are in the class?
ChallengeTwo sectors take 30% and 25%. What is the difference between their angles?
Error redoError review: a pupil says a sector of 20% has an angle of 20°. What is the correct angle?

03　Answers and one-line notes

#	Answer	One-line note
1	90°	A full circle is 360°, so 25% gives 360 × 0.25 = 90°.
2	144°	360 × 0.40 = 144°.
3	54°	360 × 0.15 = 54°.
4	20%	72 ÷ 360 = 0.2, which is 20%.
5	30%	108 ÷ 360 = 0.3, which is 30%.
6	60 pupils	240 × 0.25 = 60 pupils.
7	90 books	90° is 90 ÷ 360 = 1/4 of the circle, so 360 × 1/4 = 90 books.
8	180 pupils	45 ÷ 0.25 = 180 pupils.
9	18°	The difference is 5 percentage points, that is 360 × 0.05 = 18°.
10	72°	Convert the percentage to an angle: 360 × 0.20 = 72°, not 20°.

04　What to do after marking

After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
Repeat the same item two days later; move to the next paper only when both attempts are correct.
Parents only need the answer and note columns; there is no need to explain every item.

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