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P6 Maths Speed, Distance and Time Paper 2: Intermediate
P6 Maths Speed, Distance and Time 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 Speed, Distance and Time |
| Level | P6 |
02 Questions (10 items)
- FoundationA lorry covers 150 km in 2 hours 30 minutes. What is the average speed?
- FoundationA runner covers 1.2 km in 5 minutes. What is the speed in m/s?
- FoundationA car runs 2 hours at 60 km/h then 1 hour at 90 km/h. What is the average speed?
- IntermediateHow long does 450 m take at 2.5 m/s? Give the answer in seconds and minutes.
- IntermediateA 12 km walk takes 90 minutes. What is the speed, and what speed finishes it in 72 minutes?
- IntermediateConvert 1.5 m/s into km/h.
- ChallengeA trip out is walked at 6 km/h and the same route back at 4 km/h. What is the average speed?
- ChallengeA journey takes 4 hours at 60 km/h. How long at 80 km/h?
- ChallengeA runs at 4 m/s and starts 20 s earlier; B runs at 5 m/s from the same point. How long until B catches A?
- Error redoError review: a pupil says 300 m at 5 m/s takes 1500 seconds. What went wrong?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 60 km/h | 2 hours 30 minutes is 2.5 hours, so 150 / 2.5 = 60. |
| 2 | 4 m/s | 1.2 km is 1200 m and 5 minutes is 300 s, so 1200 / 300 = 4. |
| 3 | 70 km/h | Total distance 60 x 2 + 90 = 210 km over 3 hours, so 210 / 3 = 70. |
| 4 | 180 seconds, which is 3 minutes | 450 / 2.5 = 180 s, and dividing by 60 gives 3 minutes. |
| 5 | 8 km/h, then 10 km/h | 90 min is 1.5 h so 12 / 1.5 = 8; 72 min is 1.2 h so 12 / 1.2 = 10. |
| 6 | 5.4 km/h | Multiply by 3.6: 1.5 x 3.6 = 5.4. |
| 7 | 4.8 km/h | For equal distances the average is 2 x 6 x 4 / (6 + 4) = 4.8, not the simple mean. |
| 8 | 3 hours | The distance is 60 x 4 = 240 km, so 240 / 80 = 3. |
| 9 | 80 seconds | A leads by 4 x 20 = 80 m and B closes 1 m each second, so 80 / 1 = 80. |
| 10 | It should be 60 seconds | The pupil multiplied instead of dividing: 300 / 5 = 60 s. |
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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