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S1 Maths: Ratio, Rate and Proportion (Paper 4 (error clinic))
Tutor Prep Guide · simplifying ratios; sharing in a ratio; direct and inverse proportion; speed conversion; average speed
S1 Maths: Ratio, Rate and Proportion (Paper 4 (error clinic))
Paper 4 (error clinic): ten questions on simplifying ratios, missing terms, sharing in a ratio, direct and inverse proportion, speed conversion and average speed, with answers and one-line notes.
Direct answers Level: S1 maths; format: simplifying ratios, sharing in a ratio, proportion equations, speed and average speed.
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: S1 Maths: Ratio, Rate and Proportion |
| Level | S1 |
02 Questions (10 items)
- FoundationSimplify the ratio 18 : 24.
- FoundationIf 4 : 9 = 20 : y, find y.
- FoundationA car covers 240 km in 4 hours. Find its speed.
- IntermediateDivide 72 in the ratio 1 : 2 : 3.
- IntermediateEight workers need 6 days. How long do twelve workers need?
- IntermediateFour items cost 52 dollars. What do seven cost?
- ChallengeChange 72 km/h into m/s.
- ChallengeDivide 96 in the ratio 5 : 3.
- Challenge180 km out takes 3 hours and 180 km back takes 2 hours. Find the average speed for the whole journey.
- Error redoError clinic: which is in simplest form, 1 : 2 or 2 : 4?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 3 : 4. | Divide both terms by 6 to get 3 : 4. |
| 2 | 45. | The first term is multiplied by 5, so the second is 9 times 5, that is 45. |
| 3 | 60 km/h. | 240 divided by 4 is 60 km/h. |
| 4 | 12, 24 and 36. | There are 6 parts of 12 each, giving 12, 24 and 36. |
| 5 | 4 days. | The worker-days are fixed at 48, so 48 divided by 12 is 4 days. |
| 6 | 91 dollars. | One item costs 13 dollars, so seven cost 91 dollars. |
| 7 | 20 m/s. | Divide by 3.6 to get 20 m/s. |
| 8 | 60 and 36. | There are 8 parts of 12 each, so the shares are 60 and 36. |
| 9 | 72 km/h. | The total is 360 km in 5 hours, so the average speed is 72 km/h. |
| 10 | 1 : 2. | 2 : 4 divides through by 2 to give 1 : 2; a simplest ratio has coprime terms. |
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.
Check the answers; find the highest common factor when reducing, and fix the total for inverse proportion.Tutor Registration →
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