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

2. 7 7 7 7 7 14 21 Jess James 14 21 = 5 parts in total
Jess and James shared 35 fries in the ratio 2 : 3
How many fries did they each get?
Jess
James
35 ÷ 5 =
7 fries
per part
Draw a Bar Model to calculate
how much one part is worth. 14 21
How can we check our answer? 14 7 7
Jess
James
= 5 parts
in total 7 7 7 21

3. 6 6 6 6 6 6 6 12 30 ① Jess James 12 30 = 7 parts in total
Jess and James shared 42 fries in the ratio 2 : 5
How many fries did they each get?
Jess
James
42 ÷ 7 =
6 fries
per part
Draw a Bar Model to calculate
how much one part is worth. 12 30 12 6 6
Jess
James
= 7 parts
in total 6 6 6 6 6 30 ①

4. Anna and Tom shared some money in the ratio 2 : 7
Anna got £8. How much did Tom get?
Anna
Tom
8 ÷ 2 = £4
per part
Draw a Bar Model to calculate
how much one part is worth. £8
£28 8 4 4
Anna
Tom 4 4 4 4 4 4 4 28

5. Anna and Tom shared some money in the ratio 5 : 4
Anna got £25. How much did Tom get?
Anna
Tom
25 ÷ 5 = £5
per part
Draw a Bar Model to calculate
how much one part is worth.
£25
£20 25 5 5 5 5 5
Anna
Tom 5 5 5 5 20 ②

6. 3 3 3 3 3 3 3 3 3 3 3 3 15 21 Ash Mike 15 21 = 36 sweets in total
Ash and Mike shared some sweets in the ratio 5 : 7
Mike got 21 sweets. How many were there in total?
Ash
Mike
21 ÷ 7 =
3 sweets
per part
Draw a Bar Model to calculate
how much one part is worth. 15 21
= 36 sweets in total 15 3 3 3 3 3
Ash
Mike 3 3 3 3 3 3 3 21

7. 6 6 6 6 6 6 6 6 6 6 6 18 48 ③ Ash Mike 18 48 = 66 sweets in total
Ash and Mike shared some sweets in the ratio 3 : 8
Ash got 18 sweets. How many were there in total?
Ash
Mike
18 ÷ 3 =
6 sweets
per part
Draw a Bar Model to calculate
how much one part is worth. 18 48
= 66 sweets in total 18 6 6 6
Ash
Mike 6 6 6 6 6 6 6 6 48 ③

8. Dan and Dave the bandits stole some money!
They divided it in the ratio 3 : 5
Dave got £12 more than Josh.
How much did they each get?
Dan
Dave
12 ÷ 2 = £6
per part
£18
£30
Draw a Bar Model to calculate
how much one part is worth. 18 12 6 6 6
Dan
Dave 6 6 6 6 6 30

9. Dan and Dave the bandits stole some money!
They divided it in the ratio 7 : 2
Dave got £35 less than Josh.
How much did they steal in total?
Dan
Dave
35 ÷ 5 = £7
per part 49 14
Draw a Bar Model to calculate
how much one part is worth.
= £63 in total 49 7 7 7 7 7 7 7
Dan
Dave 7 7 35 14 ④

12. Jess and James shared 35 fries in the ratio 2 : 3
How many fries did they each get?
example
Jess got 14 fries.
James got 21 fries.
1) Tom and Tim shared 40 sweets in the ratio 3 : 5
How many sweets did they each get?
2) Jane and Jess shared some money in the ratio 5 : 2
Jane got £30. How much did Jess get?
3) Anna, Hannah and Tanya shared 60 fries in the ratio 2 : 3 : 7
How many more fries than Hannah did Tanya get?
4) Dan and Mike shared some money in the ratio 5 : 9
Mike got £28 more than Dan. How much did Dan get?

13. £12 20 more £35 Jess and James shared 35 fries in the ratio 2 : 3
How many fries did they each get?
example
Jess got 14 fries.
James got 21 fries.
Tom got 15.
Tim got 25.
1) Tom and Tim shared 40 sweets in the ratio 3 : 5
How many sweets did they each get?
£12
2) Jane and Jess shared some money in the ratio 5 : 2
Jane got £30. How much did Jess get?
3) Anna, Hannah and Tanya shared 60 fries in the ratio 2 : 3 : 7
How many more fries than Hannah did Tanya get?
20 more
£35
4) Dan and Mike shared some money in the ratio 5 : 9
Mike got £28 more than Dan. How much did Dan get?

14. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
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