How do I get the radius from the area?

Divide the area by π, then find the number that squares to it.

How is a ring area found?

Outer circle area minus inner circle area.

Why use the circumference for a wheel?

One turn covers exactly one circumference.

Circumference and Area of a Circle — Practice Paper 2 (10 items with answers)

2026-10-29

Tutor Prep Guide · Primary Maths

Paper 2 focuses on working backwards: circumference to diameter, area to radius, then rings and a wheel-turns application.

Direct answer　Circumference = π × diameter; area = π × radius × radius. Divide out π first when working backwards.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10 items
Suggested time	About 20 minutes
Difficulty mix	Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1
Chapter	Chapter: Primary 6 Maths: Circumference and Area of a Circle — Tutor Lesson Plan
Level	Primary 6

02　Questions (10 items)

FoundationA circle has radius 6 cm. Find its circumference. (Take π = 3.14.)
FoundationA circle has diameter 20 cm. Find its circumference.
FoundationA circle has radius 3 cm. Find its area.
IntermediateA circular lawn has diameter 20 m. How many m² of turf does it need?
IntermediateA circle has circumference 43.96 cm. Find its diameter.
IntermediateA semicircle has diameter 14 cm. Find its perimeter, including the diameter.
ChallengeA circle has area 113.04 cm². Find its radius.
ChallengeA ring has outer diameter 20 cm and inner diameter 12 cm. Find its area.
ChallengeA bicycle wheel has diameter 70 cm. How far does it travel in 100 turns?
Error redoA circle has radius 4 cm. Find its area. (Common error: using 2πr.)

03　Answers and one-line notes

#	Answer	One-line note
1	37.68 cm	Circumference = 2 × 3.14 × 6 = 37.68 cm.
2	62.8 cm	Circumference = 3.14 × 20 = 62.8 cm.
3	28.26 cm²	Area = 3.14 × 3 × 3 = 28.26 cm².
4	314 m²	Radius = 20 ÷ 2 = 10 m, area = 3.14 × 10 × 10 = 314 m².
5	14 cm	Diameter = circumference ÷ π = 43.96 ÷ 3.14 = 14 cm.
6	35.98 cm	The arc is 3.14 × 7 = 21.98 cm; adding the diameter of 14 cm gives 35.98 cm.
7	6 cm	3.14 × r × r = 113.04, so r × r = 36 and r = 6 cm.
8	200.96 cm²	Outer radius 10 cm and inner radius 6 cm, so 3.14 × (100 − 36) = 200.96 cm².
9	219.8 m	One turn is 3.14 × 70 = 219.8 cm; 100 turns give 21 980 cm, which is 219.8 m.
10	50.24 cm²	2πr is the circumference; area = 3.14 × 4 × 4 = 50.24 cm².

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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Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.