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P6 Maths Composite Shapes Paper 2: Intermediate
P6 Maths Composite Shapes Paper 2: Intermediate
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 Composite Shapes with Circles |
| Level | P6 |
02 Questions (10 items)
- FoundationFind the area of a semicircle of radius 7 cm.
- FoundationFind the area of a quarter circle of radius 4 cm.
- FoundationA semicircle has diameter 8 cm. Find its perimeter, including the diameter.
- IntermediateA ring has outer radius 12 cm and inner radius 8 cm. Find its area.
- IntermediateA square has side 16 cm and contains its largest inscribed circle. Find the area outside the circle.
- IntermediateFind the perimeter of a quarter circle of radius 20 cm.
- ChallengeTwo semicircles have diameters 10 cm and 6 cm. Find their total area.
- ChallengeA ring has area 200.96 cm² and inner radius 6 cm. Find the outer radius.
- ChallengeA semicircular pool has diameter 30 m. A railing runs along its whole edge, including the straight side. Find its length.
- Error redoError review: a pupil uses the diameter 12 cm as the radius and gets 226.08 cm² for the area of a semicircle. Find the correct area.
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 76.93 cm² | 3.14 × 7 × 7 ÷ 2 = 76.93 cm². |
| 2 | 12.56 cm² | 3.14 × 16 ÷ 4 = 12.56 cm². |
| 3 | 20.56 cm | 3.14 × 8 ÷ 2 = 12.56 cm, and adding 8 cm gives 20.56 cm. |
| 4 | 251.2 cm² | 3.14 × (144 − 64) = 251.2 cm². |
| 5 | 55.04 cm² | 256 − 3.14 × 64 = 55.04 cm². |
| 6 | 71.4 cm | The arc is 2 × 3.14 × 20 ÷ 4 = 31.4 cm, and two radii add 40 cm, giving 71.4 cm. |
| 7 | 53.38 cm² | 3.14 × 25 ÷ 2 = 39.25 and 3.14 × 9 ÷ 2 = 14.13, giving 53.38 cm² in total. |
| 8 | 10 cm | 200.96 ÷ 3.14 = 64, and 64 + 36 = 100, so the outer radius is 10 cm. |
| 9 | 77.1 m | 3.14 × 30 ÷ 2 + 30 = 47.1 + 30 = 77.1 m. |
| 10 | 56.52 cm² | The radius is 6 cm, so the area is 3.14 × 36 ÷ 2 = 56.52 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.