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P6 Maths: Speed, Distance and Time (Paper 3 (challenge))
Tutor Prep Guide · Using speed, distance and time in all three directions, converting between km/h and m/s, meeting and catching-up problems, average speed and diagnosing common slips
P6 Maths: Speed, Distance and Time (Paper 3 (challenge))
Paper 3 (challenge): ten speed questions on finding speed, distance and time, with answers and one-line notes.
Direct answers Level: P6 maths; format: applying the speed formula, unit conversion, meeting and catching up, average speed and error diagnosis.
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)
- FoundationTravel 1 hour at 30 km/h then 2 hours at 60 km/h. Find the average speed.
- FoundationA 180 m train at 108 km/h crosses a 720 m bridge completely. How many seconds?
- IntermediateA hill is climbed at 4 km/h and descended at 6 km/h on the same path. Find the average speed.
- IntermediateA runs at 6 m/s and B at 4 m/s in the same direction, with B 100 m ahead. When does A catch up?
- IntermediateTwo places are 3.6 km apart. Two people approach at 12 m/s and 8 m/s. When do they meet?
- ChallengeA leaves at 8:00 at 60 km/h, B leaves the same point at 8:30 at 90 km/h. When does B catch A?
- FoundationA 4.5 km walk speeds up from 5 km/h to 6 km/h. How many minutes are saved?
- ChallengeA 240 km trip must take 3 hours. After 2 hours, 120 km are done. What speed is needed for the rest?
- ChallengeA boat does 12 km/h in still water and the current is 3 km/h. It goes 45 km downstream and back. Find the average speed.
- Error redoError clinic: at 45 km/h, travelling 90 minutes covers 90 km. Is this right?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 50 km/h. | The total distance is 150 km over 3 hours, so the average is 50 km/h. |
| 2 | 30 seconds. | Convert to 30 m/s, then cover 900 m of train plus bridge, which takes 30 seconds. |
| 3 | 4.8 km/h. | With equal distances the average is 2 divided by the sum of the reciprocals, giving 4.8 km/h. |
| 4 | 50 seconds. | The gap closes at 2 m per second, so 100 m takes 50 seconds. |
| 5 | 180 seconds. | Convert to 3 600 m and divide by the combined 20 m/s, giving 180 seconds. |
| 6 | At 9:30, at the 90 km mark. | A is 30 km ahead at 8:30 and B closes 30 km each hour, so B catches up at 9:30 after 90 km. |
| 7 | 9 minutes. | The times are 54 and 45 minutes, so the saving is 9 minutes. |
| 8 | 120 km/h. | The remaining 120 km must be covered in 1 hour, so the speed is 120 km/h. |
| 9 | 11.25 km/h. | Downstream takes 3 hours and upstream 5 hours, so 90 km in 8 hours gives 11.25 km/h. |
| 10 | No, it covers 67.5 km. | Ninety minutes is 1.5 hours, and 45 times 1.5 is 67.5 km, so minutes must become hours. |
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, and for any wrong item confirm the units first, then copy the working and redo it.Tutor Registration →
Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.
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