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Primary 5 Maths: Properties of Circles — Practice Paper 2 (10 Questions)
Primary 5 Maths: Properties of Circles — Practice Paper 2 (10 Questions)
Paper 2 drills d = 2r in both directions, adds compasses, the longest segment inside a circle, and reasoning backwards from equal distances. No pi.
Quick answer 10 questions, about 20 minutes. Items 01 to 04 convert between radius and diameter both ways, items 05 and 06 cover the longest segment and the definition of a circle, item 07 compares axes of symmetry, items 08 and 09 are applied reasoning, item 10 is the usual multiply-instead-of-halve slip.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 questions |
| Suggested time | 20 minutes |
| Difficulty mix | Foundation 4 · Intermediate 3 · Challenge 2 · Error redo 1 |
| Chapter | Chapter: Primary 5 Maths: Properties of Circles — Tutor Lesson Plan |
| Level | Primary 5 |
02 Questions (10 items)
- FoundationA circle has radius 3.5 cm. What is its diameter?
- FoundationA circle has diameter 18 cm. What is its radius?
- FoundationCompasses are opened 6 cm to draw a circle. What is its diameter?
- FoundationThe diameter is how many times the radius, and the radius is what fraction of the diameter?
- IntermediateWhat is the longest segment inside a circle, and how many radii is it?
- IntermediateIn one plane, what shape is formed by every point 5 cm from a fixed centre?
- IntermediateA square has 4 axes of symmetry. Has a circle more, and can the total be counted?
- ChallengeIn a circular garden the centre is 4 m from the fence. Ming walks straight from the centre to the far fence. How far does he walk?
- ChallengeA, B and C are on one circle. The centre is 6 cm from A, 6 cm from B and 7 cm from C. Can all three lie on that circle?
- Error redoA circle has diameter 20 cm. What is its radius? (common slip: answering 40 cm by multiplying instead of halving)
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 7 cm | A diameter is two radii: 3.5 × 2 = 7 cm, with the unit written. |
| 2 | 9 cm | A radius is half the diameter: 18 ÷ 2 = 9 cm, and 9 × 2 = 18 checks it. |
| 3 | 12 cm | The gap between needle and pencil is the radius, 6 cm, so the diameter is 6 × 2 = 12 cm. |
| 4 | 2 times; one half | Two radii end to end make one diameter, so it is twice the radius and the radius is half of it. |
| 5 | The diameter; 2 radii | No segment is longer than the one through the centre; that one is the diameter and equals two radii. |
| 6 | A circle of radius 5 cm | All points the same distance from the centre form a circle, and that fixed distance is the radius: 5 cm. |
| 7 | More; the total cannot be counted, a circle has infinitely many | Every line through the centre folds the circle onto itself, and there are infinitely many directions, so no fixed total exists. |
| 8 | 8 m | Centre to fence is the radius, 4 m; straight through the centre to the far side is a diameter: 4 × 2 = 8 m. |
| 9 | No, C is not on the circle | Every point of one circle is the same distance from the centre. 6, 6 and 7 are not all equal, so at least one point is off the circle. |
| 10 | 10 cm | A radius is always shorter than the diameter: 20 ÷ 2 = 10 cm, and 10 × 2 = 20 checks it. 40 cm reverses the operation. |
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.
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.
