Fractions · Ages 8–9

Fractions on a number line worksheet

Part of: First fractions

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Fractions · Ages 8–9

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

1.The number line from 0 to 1 is cut into equal spaces. What fraction is the arrow pointing to?
Answer in simplest form
Answer:
2.On the number line, 0 to 1 is cut into equal spaces. What fraction does the arrow point to?
Answer in simplest form
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3.On the number line each whole is cut into 5 equal spaces. The arrow points to 5.
Answer:
4.6 = 5
Answer:
5.4 = 10
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6.Start at 0 and jump 35 to the right each time: jump 1 lands on 35, jump 2 on 65, jump 3 on 95… Going on like this, jump 20 lands on 5.
Answer:
7.On the number line, 35 lies between the whole numbers and , next to each other.
Fill in each blank
Answer:
8.Start at 0 and jump 14 to the right each time: jump 1 lands on 14, jump 2 on 24, jump 3 on 34… Going on like this, jump 20 lands on 4.
Answer:

13.Ka-yee's family buys 3 pizzas, each cut into 6 equal slices, so a slice is 16 of a pizza. How many slices are 3 pizzas?
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14.A 2 m ribbon is marked so that each metre is cut into 3 equal stretches. May cuts from the start to mark number 5. The piece cut off is 3 m long.
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15.A frog sits at 157 on a number line and jumps 17 to the right each time. How many jumps does it take to reach 3?
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16.On a 1 km jogging trail there is a sign every 17 km: sign 1 is 17 km from the start, and the last is at the finish. How far from the start is sign 6?
Answer in simplest form
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17.A frog sits at 57 on a number line and jumps 17 to the right each time. How many jumps does it take to reach 2?
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18.On a 1 km jogging trail there is a sign every 19 km: sign 1 is 19 km from the start, and the last is at the finish. How far from the start is sign 4?
Answer in simplest form
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Answer:

Show the answers and working

Fractions on a number line worksheet: Answers and working

1. 23
Count how many equal spaces there are from 0 to 1, then how many from 0 to the arrow. Count spaces, not tick marks.
0 to 1 is cut into 3 equal spaces, each 13; the arrow is 2 spaces from 0: 23.
2. 89
Lots of spaces, so count carefully: how many from 0 to 1, then how many from 0 to the arrow. Count spaces, not tick marks.
0 to 1 is cut into 9 equal spaces, each 19; the arrow is 8 spaces from 0: 89.
3. 11
Each space is 15. Counting from 0, how many spaces along is the arrow? Or find the whole number before it and count on.
Each space is 15, and the arrow is 11 spaces from 0: 115. Or count 1 spaces on from 2.
4. 30
1 = 55. How many 1s make 6? Swap each 1 for 55.
1 = 55, and 6 is 6 ones, so 6 lots of 55: 305.
5. 40
1 = 1010. How many 1s make 4? Swap each 1 for 1010.
1 = 1010, and 4 is 4 ones, so 4 lots of 1010: 4010.
6. 60
Each jump adds 3 to the numerator. After jump 20, how many lots of 3 is the numerator?
Each jump adds 3 to the numerator: after jump 20 the numerator is 20 × 3 = 60, so 605.
7. 0, 1
Each whole is 55. How many complete lots of 5 fit in 3?
Each whole is 55: 3 spaces hold 0 full lots of 5 and a bit more, so it lies between 0 and 1.
8. 20
Each jump adds 1 to the numerator. After jump 20, how many lots of 1 is the numerator?
Each jump adds 1 to the numerator: after jump 20 the numerator is 20 × 1 = 20, so 204.

9. D
Check each line: is 0 to 1 cut into 6 spaces? Counting right from 0, is the arrow 5 spaces along?
0 to 1 must be cut into 6 equal spaces, with the arrow 5 spaces from 0.
10. B. 328
1 = 88. What should the numerator be for 4 of those?
1 = 88, so 4 ones are 328.
11. True
1 = 55. Compare the numerator, 9, with 5: which is bigger?
1 = 55. A fraction with a numerator greater than 5 is right of 1; smaller, left of 1.
12. B. 63
1 = 33. What should the numerator be for 2 of those?
1 = 33, so 2 ones are 63.

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

13. 18 slices
Each pizza has 6 slices, so 3 pizzas are 3 lots of 6 slices.
1 pizza is 66, so 3 pizzas are 186: 18 slices.
14. 5
Each stretch is 13 m. Cutting up to mark 5, how many stretches is that?
Each stretch is 13 m, and up to mark 5 is 5 stretches: 53 m, more than 1 m.
15. 6 jumps
First write 3 as a fraction with 7 as the denominator: how many lots of 77 is it?
3 = 217; from 157 to 217 takes 21 − 15 = 6 jumps.
16. 67 km
1 km is cut into 7 equal stretches of 17 km. Sign 6 is at the end of which stretch?
1 km is cut into 7 equal stretches of 17 km; sign 6 is at the end of stretch 6: 67 km.
17. 9 jumps
First write 2 as a fraction with 7 as the denominator: how many lots of 77 is it?
2 = 147; from 57 to 147 takes 14 − 5 = 9 jumps.
18. 49 km
1 km is cut into 9 equal stretches of 19 km. Sign 4 is at the end of which stretch?
1 km is cut into 9 equal stretches of 19 km; sign 4 is at the end of stretch 4: 49 km.

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