1. Fractions of Quantities – Reverse – Demonstration
This resource provides animated demonstrations of the mathematical method.
Check animations and delete slides not needed for your class.

2. $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 ?

3. 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 ?

4. 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 ?

5. ? 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 ?

6. 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 ?

7. 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 ?

8. 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 ?

9. 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 ?

10. 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 ?

11. 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

12. 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 12 3 3 3 3
3 good apples

13. 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

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

17. Max: $45
Mary: $75 12
Answers
720
$54

18. A 2 3 of Max’s prize was the same as 2 5 of Mary’s. 2 3 of Max’s prize
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 A

19. 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 8 2 2 2 2
6 good apples B

20. C 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 C
$16

21. D 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 D

22. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
Any feedback would be appreciated .
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