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P6 Maths Speed, Distance and Time Paper 3: Challenge
P6 Maths Speed, Distance and Time 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 Speed, Distance and Time |
| Level | P6 |
02 Questions (10 items)
- FoundationA 240 m train clears a 360 m bridge in 40 s. Find its speed in m/s and km/h.
- FoundationA lorry runs 120 km at 80 km/h then 90 km at 60 km/h. Find the average speed.
- FoundationThree legs: 30 km at 60 km/h, 60 km at 120 km/h and 90 km at 90 km/h. Find the average speed.
- IntermediateA walks at 60 m/min and leaves 5 minutes early; B walks at 80 m/min from the same point. When does B catch up?
- IntermediateA hill is climbed at 3 km/h and descended by the same route at 6 km/h. Find the average speed.
- IntermediateA 150 m train clears an 850 m tunnel in 20 s. Find its speed in m/s and km/h.
- ChallengeA 240 km trip is planned at 60 km/h, but the driver leaves 40 minutes late. What speed keeps the planned arrival time?
- ChallengeTwo towns are 60 km apart. A leaves at 12 km/h and B at 8 km/h towards each other. When and where do they meet?
- ChallengeConvert 108 km/h to m/s, then find the time to cover 900 m.
- Error redoError review: a 120 m train at 15 m/s crosses a 300 m bridge; a pupil says 20 s. What is correct?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 15 m/s, which is 54 km/h | It must cover 240 + 360 = 600 m, so 600 / 40 = 15 m/s and x 3.6 gives 54 km/h. |
| 2 | 70 km/h | The legs take 1.5 h and 1.5 h, so 210 km over 3 h gives 70. |
| 3 | 90 km/h | The times add to 0.5 + 0.5 + 1 = 2 h for 180 km, so 180 / 2 = 90. |
| 4 | 15 minutes | A leads by 60 x 5 = 300 m and B gains 20 m a minute, so 300 / 20 = 15. |
| 5 | 4 km/h | With equal distances the average is 2 x 3 x 6 / (3 + 6) = 4, since the descent takes only a third of the time. |
| 6 | 50 m/s, which is 180 km/h | It covers 150 + 850 = 1000 m, so 1000 / 20 = 50 m/s and x 3.6 gives 180 km/h. |
| 7 | 72 km/h | Only 3 h 20 min (10/3 h) remain, so 240 / (10/3) = 72. |
| 8 | 3 hours, 36 km from A | They close at 20 km/h, so 60 / 20 = 3 h, and A covers 12 x 3 = 36 km. |
| 9 | 30 m/s, 30 seconds | 108 / 3.6 = 30 m/s, and 900 / 30 = 30 s. |
| 10 | 28 seconds | The train must cover bridge plus its own length: 420 / 15 = 28 s; 20 s only covers the bridge. |
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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