Measures and time · Ages 8–9

Kilometres worksheet

Part of: Kilometres and millimetres

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Measures and time · Ages 8–9

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

13.Each lap of a running track is 200 m. Ka-yan runs 5 laps. How many kilometres is that?
Working:
Answer:
14.A hiking trail is 3 km long and Chi-keung has walked 600 m. How many more metres must Chi-keung walk?
Working:
Answer:
15.The map shows the roads between four places, A, B, C and D. What is the shortest distance from A to D, in metres?
Working:
Answer:
16.It is 1 km 115 m from village A to village B, and 1 km 485 m from B to C. How many metres is it from A to C through B?
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Answer:
17.From Ka-yee's home it is 3 km 800 m to the library and 4400 m to the park. How far, in metres, is the further place?
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Answer:
18.A hiking trail is 9 km long and Tsz-hin has walked 1800 m. How many more metres must Tsz-hin walk?
Working:
Answer:

Show the answers and working

Kilometres worksheet: Answers and working

1. 17000
Each kilometre is 1000 m, so multiply 17 by 1000.
1 km = 1000 m: 17 × 1000 = 17000.
2. 2000
Each kilometre is 1000 m, so multiply 2 by 1000.
1 km = 1000 m: 2 × 1000 = 2000.
3. 2, 957
1000 m is 1 km. Split off the last three digits of 2957.
The last three digits are the metres, 957; the 2 in front is kilometres.
4. 6777
Change 6 km into metres, then add 777 m. Careful: the metres take three digits.
6 × 1000 + 777 = 6777: the metres take three digits.
5. 8, 851
1000 m is 1 km. Split off the last three digits of 8851.
The last three digits are the metres, 851; the 8 in front is kilometres.
6. 7972
Change 7 km into metres, then add 972 m. Careful: the metres take three digits.
7 × 1000 + 972 = 7972: the metres take three digits.
7. 8, 417
1000 m is 1 km. Split off the last three digits of 8417.
The last three digits are the metres, 417; the 8 in front is kilometres.

8. A. km
The distance between two districts is long. Which unit suits a long distance?
The distance between two districts is long, so use kilometres: about 12 km.
9. C. km
The distance between two districts is long. Which unit suits a long distance?
The distance between two districts is long, so use kilometres: about 15 km.
10. True
The units differ: change 1 km 530 m into metres first, then compare with 1230 m.
In metres: 1 km 530 m = 1530 m, then compare with 1230 m.
11. False
The units differ: change 6 km 340 m into metres first, then compare with 6350 m.
In metres: 6 km 340 m = 6340 m, then compare with 6350 m.
12. A. 6700 m
Some are in km and some in m. Change every distance into metres, then compare.
Change them all to metres and compare: the furthest is 6700 m.

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

13. 1 km
Work out how many metres 5 laps make, then change the metres into kilometres.
200 × 5 = 1000 m = 1 km.
14. 2400 m
Change the trail's 3 km into metres first, then subtract the 600 m walked.
3 km = 3000 m; 3000 − 600 = 2400.
15. 1750 m
Change every road into metres first (1 km = 1000 m), then list each route from A to D and add up its roads.
In metres, route by route: A→B→D 1750 m, A→C→D 1800 m, A→B→C→D 1800 m, A→C→B→D 2350 m. The shortest is 1750 m.
16. 2600 m
Both legs are in km and m. Change each into metres first, then add.
Change both to metres and add: 2600 m.
17. 4400 m
Change 3 km 800 m into metres, then compare with 4400 m to see which is further.
3 km 800 m = 3800 m; compared with 4400 m, the further is 4400 m.
18. 7200 m
Change the trail's 9 km into metres first, then subtract the 1800 m walked.
9 km = 9000 m; 9000 − 1800 = 7200.

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