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

2. A shark attacks a school of 12 fish.
She eats of them.
How many does she eat? 4

3. A shark attacks a school of 12 fish.
He eats of them.
How many does he eat? 3

4. A shark attacks a school of 12 fish.
She eats of them.
How many does she eat? 9

5. A shark attacks a school of 16 fish.
He eats of them.
How many does he eat? 4

6. A shark attacks a school of 16 fish.
She eats of them.
How many does she eat? 12

7. a) 1 3 of them? b) 2 3 of them? 4 fish c) 1 4 of them? d) 3 4 of them?
A shark attacks a school of 12 fish.
How many does she eat, if she eats…
a) of them?
b) of them?
c) of them?
d) of them?
e) of them?
4 fish
8 fish
3 fish
9 fish
10 fish

8. a) 2 3 of them? b) 3 4 of them? 16 fish c) 3 8 of them?
A shark attacks a school of 24 fish.
How many does he eat, if he eats…
a) of them?
b) of them?
c) of them?
d) of them?
e) of them?
16 fish
18 fish
9 fish
20 fish
18 fish

9. 20 5 5 5 5 Jo’s mum buys 20 sweets and gives Jo 1 4 of them.
How many sweets does Jo get? 20 5 5 5 5
Jo gets 5 sweets.

10. 16 4 4 4 4 Tim’s mum buys 16 sweets and gives Tim 3 4 of them.
How many sweets does Tim get? 16 4 4 4 4
Tim gets 12 sweets.

11. 20 4 4 4 4 4 Tom & Chris share 20 sweets.
Tom gets of them Chris gets of them.
How many sweets do they each get? 20 4 4 4 4 4
Tom gets 8 sweets.
Chris gets 12 sweets.

12. Rob & Mike share 30 sweets.
Rob gets of them. Mike gets of them.
How many sweets do they each get? 30 6 6 6 6 6
Rob gets 18 sweets.
Mike gets 12 sweets.

13. 24 4 4 4 4 4 4 Hannah & Sal share 24 sweets.
Hannah gets of them. Sal gets of them.
How many sweets do they each get? 24 4 4 4 4 4 4
Hannah gets 20 sweets.
Sal gets 4 sweets.

14. Jess & Tom share 24 sweets.
Jess gets of them. Tom gets of them.
How many sweets do they each get? 24 3 3 3 3 3 3 3 3
Jess gets 9 sweets.
Tom gets 15 sweets.

15. 32 4 4 4 4 4 4 4 4 Joe & Polly share 32 sweets.
Joe gets of them. Polly gets of them.
How many sweets do they each get? 32 4 4 4 4 4 4 4 4
Joe gets 20 sweets.
Polly gets 12 sweets.

16. 36 4 4 4 4 4 4 4 4 4 Anna & Josh share 36 sweets.
Anna gets of them. Josh gets of them.
How many sweets do they each get? 36 4 4 4 4 4 4 4 4 4
Anna gets 16 sweets.
Josh gets 20 sweets.

17. Ash & Sam share 54 sweets.
Ash gets of them. Sam gets the rest.
How many sweets do they each get? 54 6 6 6 6 6 6 6 6 6
Ash gets 42 sweets.
Sam gets 12 sweets.

18. Draw a bar model to answer each pair of questions.
EXAMPLE
A bar model to find of 20.
Draw a bar model to answer each pair of questions.
1 5 of 20
3 5 of 20
Find…
&
3 8 of 32
7 8 of 32
Find…
&
5 9 of 45
Find…
&
5 12 of 60
7 12 of 60
Find…
&
2 9 of 45

19. Draw a bar model to answer each pair of questions.
EXAMPLE
A bar model to find of 20.
Draw a bar model to answer each pair of questions.
1 5 of 20
3 5 of 20
Find…
&
3 8 of 32
7 8 of 32
Find…
& 4 12 12 28
5 9 of 45
Find…
&
5 12 of 60
7 12 of 60
Find…
&
2 9 of 45 10 25 25 35

20. Fractions of Quantities
Answers.
6) of 120 =
12) of 45 =
18) of 90 =

21. Fractions of Quantities
Answers.
6) of 120 = 100
12) of 45 = 55
18) of 90 = 162

22. Jo and Mo share the 20
sweets they bought.
Jo gets of them.
Mo gets of them.
How many do they each get?
Sam and Pam share the 25
sweets they bought.
Sam gets of them.
Pam gets of them.
How many do they each get?
2 friends share 56 marbles
between them.
One person gets
How many does the other
person get?
3 friends share £120.
One person gets , another gets
How much does each person get?

23. Answers Jo and Mo share the 20 sweets they bought.
Jo gets of them.
Mo gets of them.
How many do they each get?
Sam and Pam share the 25
sweets they bought.
Sam gets of them.
Pam gets of them.
How many do they each get? 6 15 14 10
Answers
2 friends share 56 marbles
between them.
One person gets
How many does the other
person get?
3 friends share £120.
One person gets , another gets
How much does each person get?
Answers
£30, £80, £10
32 and 24 marbles

24. How many sweets does Mo get? Tom and Dom share the sweets they bought.
Jo and Mo share 55
sweets they bought.
Jo gets of them.
How many sweets does Mo get?
Tom and Dom share the
sweets they bought.
Dom gets double what Dom gets.
What fraction do they each get?
3 friends share 240 marbles between them.
One person gets of the marbles.
Another person gets 20 marbles.
What fraction of the marbles
does the third person get?
5 friends share £188.
One person gets £46, another gets
£34.
The other people share the
remaining money in the ratio 1 : 2 : 3
How much is the biggest quantity?
Answers

25. Answers 1 3 , 2 3 1 2 £54 Jo and Mo share 55 sweets they bought.
Jo gets of them.
How many sweets does Mo get?
Tom and Dom share the
sweets they bought.
Dom gets double what Dom gets.
What fraction do they each get?
1 3 , 2 3
Answers 45
3 friends share 240 marbles between them.
One person gets of the marbles.
Another person gets 20 marbles.
What fraction of the marbles
does the third person get?
5 friends share £188.
One person gets £46, another gets
£34.
The other people share the
remaining money in the ratio 1 : 2 : 3
How much is the biggest quantity?
Answers
1 2
£54

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