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Primary 5 Maths: Properties of Circles — Practice Paper 1 (10 Questions)
Primary 5 Maths: Properties of Circles — Practice Paper 1 (10 Questions)
The first circles paper does three things only: converting between radius and diameter, the equal-distance definition of a circle, and the infinitely many axes of symmetry through the centre. No pi anywhere.
Quick answer 10 questions, about 20 minutes. Items 01 to 03 convert r and d, items 04 and 07 test axes of symmetry, items 05 and 09 build a diameter from radii, item 06 tests the equal-distance definition, item 08 is an everyday application, 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 6 cm. What is its diameter?
- FoundationA circle has diameter 9 cm. What is its radius?
- FoundationA point on a circle is 3 cm from the centre. What is the diameter?
- FoundationHow many axes of symmetry has a circle?
- IntermediateTwo radii placed end to end measure 15 cm together. What are the diameter and the radius?
- IntermediateA is 4 cm from the centre of a circle and B is 3 cm from it. Can A and B lie on the same circle?
- IntermediateWhich point do all axes of symmetry of a circle pass through?
- ChallengeIn an 8 cm by 6 cm rectangle a circle of radius 3 cm is drawn about the centre. Does the circle go outside the rectangle?
- ChallengeA circle has radius 4.5 cm. A straight line is drawn through the centre. How long is the part inside the circle?
- Error redoA circle has diameter 9 cm. What is its radius? (common slip: answering 18 cm by multiplying instead of halving)
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 12 cm | A diameter is two radii end to end, so 6 × 2 = 12 cm, with the unit written. |
| 2 | 4.5 cm | A radius is half the diameter: 9 ÷ 2 = 4.5 cm. Finding a radius is dividing, not multiplying. |
| 3 | 6 cm | Every point on a circle is one radius from the centre, so r = 3 cm and d = 3 × 2 = 6 cm. |
| 4 | Infinitely many | Any straight line through the centre folds the circle onto itself, and there are infinitely many directions. |
| 5 | Diameter 15 cm, radius 7.5 cm | Two radii end to end make one diameter, so d = 15 cm and r = 15 ÷ 2 = 7.5 cm. |
| 6 | No | Every point of one circle is the same distance from the centre. Since 4 cm is not 3 cm, at least one point cannot be on that circle. |
| 7 | The centre | An axis must split the circle into two matching halves, and only a line through the centre does that. |
| 8 | No, it just touches the two long sides | The centre is 6 ÷ 2 = 3 cm from each long side and 8 ÷ 2 = 4 cm from each short side; a radius of 3 cm just touches the long sides. |
| 9 | 9 cm | A line through the centre with both ends on the circle is a diameter, so 2 × 4.5 = 9 cm. |
| 10 | 4.5 cm | A radius is always shorter than the diameter: 9 ÷ 2 = 4.5 cm, and 4.5 × 2 = 9 checks 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.
