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P6 Maths Pie Charts Paper 3: Challenge
P6 Maths Pie Charts Paper 3: Challenge
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 Pie Charts |
| Level | P6 |
02 Questions (10 items)
- FoundationThe three sectors of a pie chart are in the ratio 2 : 3 : 5. Find the three angles.
- FoundationThere are 720 people in total and one sector has an angle of 150°. How many people does it represent?
- IntermediateTwo sectors together take 60%. What is the angle of the remaining part?
- IntermediateIn a class of 40 pupils, 30% come by bus. How many pupils is that, and what angle does it take?
- IntermediateOf 1 200 people, one category takes 15%. How many people is that, and what is the angle?
- FoundationA sector has an angle of 45°. What percentage of the circle is it?
- ChallengeTwo of three sectors take 270° together. What percentage of the circle does the third take?
- ChallengeA company has sales of $48 000 this month and one product takes 35%. Find its sales and its sector angle.
- ChallengeA sector has an angle of 216°. What percentage of the circle is it?
- Error redoError review: a pupil uses 100° for a sector of 30%. What is the correct angle?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 72°, 108°, 180° | There are 2 + 3 + 5 = 10 parts and each part is 36°, so the angles are 72°, 108° and 180°. |
| 2 | 300 people | 720 × 150 ÷ 360 = 300 people. |
| 3 | 144° | The rest is 40%, and 360 × 0.40 = 144°. |
| 4 | 12 pupils, 108° | 40 × 0.30 = 12 pupils, and 360 × 0.30 = 108°. |
| 5 | 180 people, 54° | 1 200 × 0.15 = 180 people, and 360 × 0.15 = 54°. |
| 6 | 12.5% | 45 ÷ 360 = 0.125, which is 12.5%. |
| 7 | 25% | The third sector is 360 − 270 = 90°, and 90 ÷ 360 = 25%. |
| 8 | $16800, 126° | 48 000 × 0.35 = $16800, and the angle is 360 × 0.35 = 126°. |
| 9 | 60% | 216 ÷ 360 = 0.6, which is 60%. |
| 10 | 108° | 360 × 0.30 = 108°. 100° wrongly treats 30% as about one third. |
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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