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Primary 5 Maths: Properties of Circles — Practice Paper 4 (10 Questions)
Primary 5 Maths: Properties of Circles — Practice Paper 4 (10 Questions)
Paper 4 puts radius and diameter into unit conversion and comparison: 1 m as 100 cm, which of two circles is larger, the largest circle in a square, and a round pot in a square box. No pi.
Quick answer 10 questions, about 20 minutes. Items 01 to 04 cover conversion, drawing and comparing diameters, items 05 and 06 mix units and compare two circles, items 07 to 09 are applied (clock face, largest circle in a square, pot in a box), item 10 is the usual multiplying 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 40 cm. What is its diameter?
- FoundationA circle has diameter 7 m. What is its radius?
- FoundationTo draw a circle of diameter 10 cm, how far should the compasses be opened?
- FoundationTwo circles have radii 4 cm and 6 cm. How much do their diameters differ?
- IntermediateCircle A has radius 9 cm; circle B has diameter 16 cm. Which is larger, and by how much?
- IntermediateA circle has diameter 1 m. What is its radius in centimetres?
- IntermediateA clock face is 30 cm across. What is its radius, and how far would compasses be opened to copy it?
- ChallengeThe largest circle is drawn inside a square of side 12 cm. What are its diameter and radius?
- ChallengeA round pot is 24 cm across. Can it lie flat inside a square box of side 25 cm, and why?
- Error redoA circle has radius 22 cm. What is its diameter? (common slip: answering 11 cm by halving)
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 80 cm | Two radii make one diameter: 40 × 2 = 80 cm. |
| 2 | 3.5 m | A radius is half the diameter: 7 ÷ 2 = 3.5 m; keep the decimal instead of rounding down to 3 m. |
| 3 | 5 cm | The opening runs from the centre to the circle, so it is the radius: 10 ÷ 2 = 5 cm. |
| 4 | 4 cm | Double each first: 8 cm and 12 cm, a difference of 12 − 8 = 4 cm; subtracting the radii gives only 2 cm, half the answer. |
| 5 | A is larger, its diameter is 18 cm; by 2 cm | Compare like with like: A becomes 18 cm across, and 18 is more than 16 by 2 cm. |
| 6 | 50 cm | Change 1 m to 100 cm first, then halve it to 50 cm; the units must match before dividing. |
| 7 | Radius 15 cm, so compasses open 15 cm | The radius is 30 ÷ 2 = 15 cm, and the compass opening is the radius itself, so 15 cm too. |
| 8 | Diameter 12 cm, radius 6 cm | The largest circle touches all four sides, so its diameter equals the 12 cm side and its radius is 12 ÷ 2 = 6 cm. |
| 9 | Yes, the 24 cm diameter is less than the 25 cm side | Laid flat the pot is 24 cm wide, and 24 is under the 25 cm side, so it fits with 1 cm to spare. |
| 10 | 44 cm | Radius to diameter means multiplying by 2, so the answer is longer than the radius: 22 × 2 = 44 cm. 11 cm reverses it. |
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.
