Measures and time · Ages 11–12

Speed worksheet

Covers: Comparing speeds, Speed, distance and time, Converting speeds, Distance–time graphs (travel graphs), Average speed

In the print window, choose “Save as PDF” to download it. The answers print on the last page.

Measures and time · Ages 11–12

Numsprite
numsprite.com

Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

1.9 m/s for 31 s = ? m
Answer:
2.200 m in 4 min = ? m/min
Answer:
3.100 km/h for 3 h = ? km
Answer:
4.26 m/s = ? m/min
Answer:
5.24 km/h = ? m/min
Answer:
6.The graph shows Ka-yan's journey. For how many minutes in all was Ka-yan actually moving?
Answer:
7.Average speed = ? m/min
Answer:
8.Average speed = ? m/min
Answer:

9.A, B and C start together. The picture shows where they are 10 seconds later. Who is the fastest?
- A. B
- B. A
- C. All the same
- D. C
Choose the right answer
Answer:
10.A walks 360 m in 4 minutes and B walks 300 m in 6 minutes. Who is faster?
- A. B
- B. Can't tell
- C. The same
- D. A
Choose the right answer
Answer:
11.A runs 36 m in 4 seconds and B runs 24 m in 3 seconds. A is faster than B.
True or false?
Answer:
12.The graph shows Ka-lok's journey. From C to D, Ka-lok's speed was 6 km/h.
True or false?
Answer:

13.Ka-yee types 160 words in 5 minutes and Ming types 258 words in 6 minutes. How many more words a minute does the faster typist type?
Working:
Answer:
14.Ka-yee runs 100 m in 18 seconds and Ming in 25 seconds. They start together. When Ka-yee finishes, how far is Ming from the finish, in m?
Working:
Answer:
15.A bus travels 105 km at 90 km/h. How many minutes does the journey take?
Working:
Answer:
16.Ka-yee walks at 60 m/min. What is that in km/h?
Answer as a decimal
Working:
Answer:
17.May goes from home to a country park, as the graph shows (the rest included). What was the average speed for the whole journey, in km/h?
Working:
Answer:
18.Chi-keung walks 600 m in 7 minutes, then runs 1500 m in 7 minutes. What is his average speed for the whole distance, in m/min?
Working:
Answer:

Show the answers and working

Speed worksheet: Answers and working

1. 9 m/s for 31 s = 279 m
distance = speed × time: 9 × 31 = 279 m
2. 200 m in 4 min = 50 m/min
speed = distance ÷ time: 200 ÷ 4 = 50 m/min
3. 100 km/h for 3 h = 300 km
distance = speed × time: 100 × 3 = 300 km
4. 26 m/s = 1560 m/min
26 m/s is 26 m a second; 1 minute = 60 seconds: 26 × 60 = 1560, 1560 m a minute, so 1560 m/min
5. 24 km/h = 400 m/min
24 km/h is 24 km an hour; 1 km = 1000 m: 24 × 1000 = 24000, 24000 m an hour; 1 hour = 60 minutes: 24000 ÷ 60 = 400, 400 m a minute, so 400 m/min
6. 40 minutes
The whole journey is 70 minutes, but the flat part is a rest and isn't moving time.
The whole 70 minutes less the flat 30-minute rest: 20 + 20 = 40.
7. Average speed = 89 m/min
Average speed = total distance ÷ total time: leg 1 is 100 × 9 = 900 m, leg 2 is 80 × 11 = 880 m, total distance 900 + 880 = 1780 m, total time 9 + 11 = 20 min, 1780 ÷ 20 = 89 m/min (not (100 + 80) ÷ 2 = 90: the two legs take different times)
8. Average speed = 105 m/min
Average speed = total distance ÷ total time: there and back is 1260 × 2 = 2520 m, total time 14 + 10 = 24 min, 2520 ÷ 24 = 105 m/min

9. D. C
They all ran for the same 10 seconds. Compare who went furthest.
In the same time, whoever goes furthest is fastest.
10. D. A
Their times differ, so the distances alone don't tell. Find each one's metres per minute first.
A: 90 m/min; B: 50 m/min; compare them.
11. True
A runs further, but the times differ too. Find each one's metres per second first.
A goes further but takes longer too: A 9 m/s, B 8 m/s.
12. True
Read how many minutes and km C to D takes, turn that into km/h, and compare with 6.
C to D: 2 km in 20 minutes: 2 ÷ (20 ÷ 60) = 6 km/h.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 11 words
The times differ, so find each one's words a minute first: 160 ÷ 5 and 258 ÷ 6.
Ka-yee: 32 a minute; Ming: 43; 11 apart.
14. 28 m
When Ka-yee finishes, 18 seconds have passed. How far does Ming run a second, and so in those 18 seconds?
Ming runs 100 ÷ 25 m/s, so in 18 seconds 100 × 18 ÷ 25 = 72 m; 100 − 72 = 28.
15. A bus travels 105 km at 90 km/h. How many minutes does the journey take? (Answer: 70 minutes)
105 ÷ 90 = 76; 105 ÷ 90 × 60 = 70
16. Ka-yee walks at 60 m/min. What is that in km/h? (Answer: 3.6 km/h)
60 × 60 = 3600; 60 × 60 ÷ 1000 = 3.6
17. 7.5 km/h
Average speed = total distance ÷ total time, the rest included. The total time is 80 minutes.
Total distance 10 km, total time 80 minutes (the rest counts): 10 ÷ (80 ÷ 60) = 7.5.
18. Chi-keung walks 600 m in 7 minutes, then runs 1500 m in 7 minutes. What is his average speed for the whole distance, in m/min? (Answer: 150 m/min)
600 + 1500 = 2100; 7 + 7 = 14; 2100 ÷ 14 = 150