How can I check the angles in a pie chart?

Add all sector angles: the total must be exactly 360°, otherwise something is wrong.

What is the difference between a percentage and a percentage point?

Subtracting two percentages gives percentage points, for example 55% and 45% differ by 10 percentage points.

When should I use a bar chart instead of a pie chart?

Use a bar chart to compare amounts and a pie chart to show each part as a share of the whole.

P6 Maths Pie Charts Paper 2: Intermediate

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)

FoundationA pie chart has three parts taking 35%, 25% and 40%. Find the three sector angles.
FoundationA sector of 90° means 25%. If the school has 320 pupils, how many does this sector represent?
FoundationWhat is the total of all sector angles in a pie chart?
IntermediateA school has 600 pupils: 45% boys and 55% girls. How many more girls than boys are there?
IntermediateA sector has an angle of 60°. What fraction of the circle is it?
IntermediateOne category is 20% of the whole and has 72 people. How many people are there in total?
ChallengeThree categories take 40%, 35% and the rest. What percentage and what angle does the third category have?
ChallengeOf 500 customers, 30% choose meal A and 20% choose meal B. How many more choose A than B?
ChallengeFor the same data, which chart shows how each part compares with the whole: a pie chart or a bar chart?
Error redoError review: a pupil draws a sector of 1/4 of the circle as 45°. What is the correct angle?

03　Answers and one-line notes

#	Answer	One-line note
1	126°, 90°, 144°	They are 360 × 0.35 = 126°, 360 × 0.25 = 90° and 360 × 0.40 = 144°, which add up to 360°.
2	80 pupils	320 × 0.25 = 80 pupils.
3	360°	The whole circle is 360°, so all sector angles add up to exactly 360°.
4	60 pupils	There are 330 girls and 270 boys, a difference of 60 pupils (10 percentage points, or 36°).
5	1/6	60 ÷ 360 = 1/6.
6	360 people	72 ÷ 0.20 = 360 people.
7	25%, 90°	100% − 40% − 35% = 25%, and 360 × 0.25 = 90°.
8	50 customers	Meal A has 150 customers and meal B has 100, a difference of 50.
9	A pie chart	A pie chart splits the whole into sectors so each share of the whole is obvious, while a bar chart compares amounts.
10	90°	1/4 × 360° = 90°. 45° is only 1/8, so the pupil used the wrong denominator.

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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