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P6 Maths Pie Charts Paper 4: Error Review
P6 Maths Pie Charts Paper 4: Error Review
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)
- FoundationIn a pie chart, what is the angle of a sector that takes 30%?
- FoundationA sector has an angle of 90°. What percentage of the circle is it?
- FoundationA sector is one fifth of the circle. What is its angle?
- IntermediateA school has 800 pupils and 12.5% of them join the choir. How many pupils join?
- IntermediateA sector has an angle of 150°. What fraction of the circle is it?
- IntermediateTwo categories take 65% of a pie chart. What is the angle of the remaining part?
- ChallengeThe three sectors of a pie chart are in the ratio 1 : 2 : 3. Find the three angles.
- ChallengeA company has sales of 64000 dollars and one product takes 25%. Find its sales and its sector angle.
- ChallengeThere are 500 people in total and one sector has an angle of 144°. How many people does it represent?
- Error redoError review: a pupil writes 8° for a sector of 45% because he divides 360 by 45. What is the correct angle?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 108° | The whole circle is 360°, so 360 × 0.30 = 108°. |
| 2 | 25% | 90 ÷ 360 = 0.25, which is 25%. |
| 3 | 72° | 1/5 × 360° = 72°. |
| 4 | 100 pupils | 800 × 0.125 = 100 pupils. |
| 5 | 5/12 | 150 ÷ 360 simplifies to 5/12. |
| 6 | 126° | The rest is 35%, and 360 × 0.35 = 126°. |
| 7 | 60°, 120°, 180° | There are 6 parts and each part is 60°, so the angles are 60°, 120° and 180°. |
| 8 | 16000 dollars, 90° | 64000 × 0.25 = 16000 dollars, and the angle is 360 × 0.25 = 90°. |
| 9 | 200 people | 500 × 144 ÷ 360 = 200 people. |
| 10 | 162° | 360 × 0.45 = 162°. Dividing 360 by 45 gives the angle per 1%, not the angle of the sector. |
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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