1. goteachmaths.co.uk Fraction of a Quantity – Problems
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2. Fraction of a Quantity:
24 November November 2018
Fraction of a Quantity:
Problems

3. 1) of 40 =
7) of 30 =
13) of 40 =
2) of 30 =
8) of 42 =
14) of 210 =
3) of 49 =
9) of 48 =
15) of 36 =
4) of 30 =
10) of 54 =
16) of 120 =
5) of 40 =
11) of 84 =
17) of 80 =
Answers.
6) of 140 =
12) of 36 =
18) of 90 =

4. 1) of 40 = 10
7) of 30 = 5
13) of 40 = 25
2) of 30 = 6
8) of 42 = 12
14) of 210 = 180
3) of 49 = 7
9) of 48 = 18
15) of 36 = 99
4) of 30 = 20
10) of 54 = 24
16) of 120 = 136
5) of 40 = 24
11) of 84 = 49
17) of 80 = 96
Answers.
6) of 140 = 100
12) of 36 = 44
18) of 90 = 144

5. $60 $180 ? $60 $60 $60 Sneaky Sam stole 1 3 of the money in the safe!
He escaped with $60. How much was in the safe?
$60
$60
$60
$60
$180 ?

6. Sneaky Sam stole 2 5 of the money in the safe!
He escaped with $16. How much was in the safe?
$16 $8 $8 $8 $8 $8
$40 ?

7. Sneaky Sam stole 5 6 of the money in the safe!
He escaped with $30. How much was in the safe?
$30 $6 $6 $6 $6 $6 $6
$36 ?

8. ? 15 5 5 5 5 5 25 ? Nadia gave away 2 5 of the cupcakes she had baked.
She was left with 15 cupcakes.
How many did she bake? ? 15 5 5 5 5 5 25 ?

9. Josh gave away 3 7 of the cupcakes he had baked.
He was left with 32 cupcakes.
How many did he bake? ? 32 8 8 8 8 8 8 8 56 ?

10. Joe gave away 4 9 of the cupcakes he had baked.
He was left with 35 cupcakes.
How many did he bake? ? 35 7 7 7 7 7 7 7 7 7 63 ?

11. Sally sold 20 pies and was left with 3 5 of them.
How many pies did she bake? ? 20 10 10 10 10 10 50

12. Sally sold 35 pies and was left with 2 7 of them.
How many pies did she bake? ? 35 7 7 7 7 7 7 7 49

13. Sally sold 45 pies and was left with 4 9 of them.
How many pies did she bake? ? 45 9 9 9 9 9 9 9 9 9 81

14. 3 5 of Mike’s throw was 27m. 4 9 of Tom’s throw was 36m.
Sam, Tom, Mike, Rick and Jane were in a Javelin competition.
Use the information to find out who won.
3 5 of Mike’s throw was 27m.
4 9 of Tom’s throw was 36m.
2 7 of Jane’s throw was 22m.
5 12 of Sam’s throw was 30m.
4 11 of Rick’s throw was 26m.

15. Answers 3 5 of Mike’s throw was 27m. 4 9 of Tom’s throw was 36m.
Sam, Tom, Mike, Rick and Jane were in a Javelin competition.
Use the information to find out who won.
3 5 of Mike’s throw was 27m.
4 9 of Tom’s throw was 36m.
= 45m
= 81m
Answers
2 7 of Jane’s throw was 22m.
= 77m
5 12 of Sam’s throw was 30m.
= 72m
4 11 of Rick’s throw was 26m.
= 71.5m

16. 2 3 of Max’s prize was the same as 2 5 of Mary’s.
Max and Mary took part in a chess competition and they both won a prize!
2 3 of Max’s prize was the same as of Mary’s.
Together they won $120. How much did they each win?
2 3 of Max’s prize
$45
$15
$15
$15
$120
$75
$15
$15
$15
$15
$15
$120 ÷ 8 = $15
2 5 of Mary’s prize

17. 4 5 of John’s prize was the same as 4 7 of Jane’s.
Jane and John took part in a chess competition and they both won a prize!
4 5 of John’s prize was the same as of Jane’s.
Together they won $84. How much did they each win?
4 5 of John’s prize
$35 $7 $7 $7 $7 $7
$84
$49 $7 $7 $7 $7 $7 $7 $7
$84 ÷ 12 = $7
4 7 of Jane’s prize

18. Joe had a bag of apples. But he dropped them and 1 3 rolled away.
Then he was saw of the remaining apples were rotten.
He only had 6 good apples left!
How many did he start with? 12 4 4 4 2 2 2 2
6 good apples

19. Joe had a bag of apples. But he dropped them and 2 5 rolled away.
Then he was saw of the remaining apples were rotten.
He only had 3 good apples left!
How many did he start with? 20 4 4 4 4 4 3 3 3 3
3 good apples

20. Sneaky Sam stole 1 3 of the money in the safe!
Then Tricky Tom stole of the money in the safe!
Then Devious Dan stole of the money in the safe!
There was $16 left in the safe.
How much was there at the start?
$54 18 18 18
Sam 12 12 12
Tom 8 8 8
Dan
$16

21. Sneaky Sam stole 1 4 of the money in the safe!
Then Tricky Tom stole of the money in the safe!
Then Devious Dan stole of the money in the safe!
There was $27 left in the safe.
How much was there at the start?
$80 20 20 20 20
Sam 12 12 12 12 12
Tom 9 9 9 9
Dan
$27

22. He gave half of his sweets to Ben.
Abe had some sweets.
He gave half of his sweets to Ben.
Ben gave one third of his sweets to Charlie.
Charlie gave one quarter of her sweets to Dawn.
Dawn gave one fifth of her sweets to Eddy.
Eddy received 6 sweets.
How many sweets did Abe have?
Abe
720
360
Ben
360
120
Charlie
120 30
Dawn 30 6
Eddy

23. Check your success! I can calculate a fraction of a quantity.
I can use bar models to calculate
fractions of a quantity.
I am confident using multiple bar models to solve worded questions calculating a fraction of an quantity.

24. Check your success! I can calculate a fraction of a quantity.
I can use bar models to calculate
fractions of a quantity.
I am confident using multiple bar models to solve worded questions calculating a fraction of an quantity.