1. goteachmaths.co.uk
Ratio

2. 09 December 2018
Ratio

3. RATIO 3:2 Ratios are used to divide a quantity.
The ratio of yellow to blue counters is…
RATIO
3:2

4. RATIO 5:3 Ratios are used to divide a quantity.
The ratio of green to red counters is…
RATIO
5:3

5. RATIO 5:4 Ratios are used to divide a quantity.
The ratio of white to black counters is…
RATIO
5:4

6. RATIO 7:3 Ratios are used to divide a quantity.
The ratio of yellow to blue counters is…
RATIO
7:3

7. RATIO 6:2 RATIO 3:1 Ratios are used to divide a quantity.
The ratio of yellow to pink counters is…
Simplify
RATIO
6:2
RATIO
3:1

8. RATIO 4:4:2 RATIO 2:2:1 Ratios are used to divide a quantity.
The ratio of yellow to red to blue counters is…
Simplify
RATIO
4:4:2
RATIO
2:2:1

10. What’s the ratio of blue counters to yellow counters?
3:5

11. What’s the ratio of yellow counters to red counters?
8:2
4:1

12. What’s the ratio of yellow counters to purple counters?
7:4

13. What’s the ratio of yellow counters to red counters?
11:3

14. What’s the ratio of blue counters to pink counters?
4:10
2:5

15. green counters to yellow counters to red counters?
What’s the ratio of
green counters to yellow counters to red counters?
8:4:2
4:2:1

16. Write the question and answer.
Simplify these ratios.
Write the question and answer.
Level 1
Level 2
Extension
45:18
2:4
12:14
3:6
8:12
108:240
9:33
4:12
6:12:27
16:36
10:5
32:52:12
20:35
20:15
49:28
24:88:104:16
9:36
48:108:24
36:48
25:45
26:91:104:39
24:48
32:52:12
33:44
96:12:396:116

17. Write the question and answer.
Simplify these ratios.
Write the question and answer.
Level 1
Level 2
Extension
5:2
1:2
6:7
1:2
2:3
9:20
3:11
1:3
2:4:9
4:9
2:1
8:13:3
4:7
4:3
7:4
3:11:13:2
1:4
4:9:2
3:4
5:9
2:7:8:3
1:2
16:27:6
3:4
24:3:99:28

18. True
SIT DOWN
False
STAND UP

19. True SIT DOWN False STAND UP
6:4

20. True SIT DOWN False STAND UP
3:8

21. True SIT DOWN False STAND UP
6:4:2

22. They split it in the ratio 2:3
John and Pete robbed $60
They split it in the ratio 2:3
RATIO
2:3
= 5 piles of cash
$12
$12
$12
$12
$12
$60 ÷ 5 = $12
John
Pete
2 x $12 = $24
3 x $12 = $36

23. They split it in the ratio 2:3
John and Pete robbed $2000
They split it in the ratio 2:3
RATIO
2:3
= 5 piles of cash
$400
$400
$400
$400
$400
$2000 ÷ 5 = $400
John
Pete
2 x $400 = $800
3 x $400 = $1200

24. They split it in the ratio 4:5
John and Pete robbed $360
They split it in the ratio 4:5
RATIO
4:5
= 9 piles of cash
$40
$40
$40
$40
$40
$40
$40
$40
$40
$360 ÷ 9 = $40
John
Pete
4 x $40 = $160
5 x $40 = $200

25. They split it in the ratio 2:5
John and Pete robbed $2800
They split it in the ratio 2:5
RATIO
2:5
= 7 piles of cash
$400
$400
$400
$400
$400
$400
$400
$2800 ÷ 9 = $400
John
Pete
2 x $400 = $800
5x $400 = $2000

26. EXAMPLE 1 WORKING Tom and Sarah are given £60.
They share it in the ratio 1:2.
How much money does Alex get?
How much money does Ben get?
EXAMPLE 1
1) ADD the ratio
1 + 2 = 3
2) DIVIDE the total by the result.
£60 ÷ 3 = £20
WORKING
3) MULTIPLY for each person.
Tom = 1 x £20 = £20
Sarah = 2 x £20 = £40
£20:£40

27. EXAMPLE 2 WORKING Tom and Sarah are given £90.
They share it in the ratio 2:3.
How much money does Alex get?
How much money does Ben get?
EXAMPLE 2
1) ADD the ratio
2 + 3 = 5
2) DIVIDE the total by the result.
£90 ÷ 5 = £18
WORKING
3) MULTIPLY for each person.
Tom = 2 x £18 = £36
Sarah = 3 x £18 = £54
£36:£54

28. EXAMPLE 3 WORKING Tom and Sarah are given £240.
They share it in the ratio 3:5.
How much money does Alex get?
How much money does Ben get?
EXAMPLE 3
1) ADD the ratio
3 + 5 = 8
2) DIVIDE the total by the result.
£240 ÷ 8 = £30
WORKING
3) MULTIPLY for each person.
Tom = 3 x £30 = £90
Sarah = 5 x £30 = £150
£90:£150

30. WORKING Tom and Sarah are given £50. They share it in the ratio 2:3.
How much money does Alex get?
How much money does Ben get?
1) ADD the ratio
2 + 3 = 5
2) DIVIDE the total by the result.
£50 ÷ 5 = £10
WORKING
3) MULTIPLY for each person.
Tom = 2 x £10 = £20
Sarah = 3 x £10 = £30
£20:£30

31. WORKING Alex and Ben are given £350. They share it in the ratio 2:3.
How much money does Alex get?
How much money does Ben get?
1) ADD the ratio
2 + 3 = 5
2) DIVIDE the total by the result.
£350 ÷ 5 = £70
WORKING
3) MULTIPLY for each person.
Alex = 2 x £70 = £140
Ben = 3 x £70 = £210
£140:£210

32. WORKING Sophie and Jane have 42 sweets.
They share them in the ratio 4:3.
How many sweets does Sophie get?
How many sweets does Jane get?
1) ADD the ratio
4 + 3 = 7
2) DIVIDE the total by the result.
42 ÷ 7 = 6
WORKING
3) MULTIPLY for each person.
Sophie = 4 x 6 = 24
Jane = 3 x 6 = 18
24:18

33. WORKING Sally and Josh and Matt have 72 sweets.
They share them in the ratio 4:3:2.
How many sweets do they each get?
1) ADD the ratio
= 9
2) DIVIDE the total by the result.
72 ÷ 9 = 8
WORKING
3) MULTIPLY for each person.
Sally = 4 x 8 = 32
Josh = 3 x 8 = 24
Matt = 2 x 8 = 16
32:24:16

34. WORKING Sally and Josh and Matt have 110 sweets.
They share them in the ratio 4:1:5.
How many sweets do they each get?
1) ADD the ratio
= 10
2) DIVIDE the total by the result.
110 ÷ 10 = 11
WORKING
3) MULTIPLY for each person.
Sally = 4 x 11 = 44
Josh = 1 x 11 = 11
Matt = 5 x 11 = 55
44:11:55

35. Tom and Alice divide £210
in the ratio 2:5.
How much do they each get?
Divide £350 in the ratio 2:3.
Divide 63 in the ratio 4:3.
Ted and Ally divide £440
in the ratio 3:5.
How much do they each get?
Divide £160 in the ratio 3:5.
Divide 54 in the ratio 4:3:2.
Tod, Jo and Amy divide £532
in the ratio 2:8:9.
How much do they each get?
Divide £440 in the ratio 2:3:6
Divide 195 in the ratio 8:4:3.

36. Tom = 60
Alice = £150
£140:£210
36:27
Ted = £165
Ally = £275
£60:£100
24:18:12
Tod = 56
Jo = 224
Amy = 252
£88:£132:£264
104:52:39

37. What’s wrong? What’s the answer?
Jim, Nim and Tim divide £200
in the ratio 1:2:3.
1+2+3=5
£200/5 = £40
1x40=40; x40=80; 3x40 = 120
Jim gets £40. Nim gets £80. Tim gets £120

38. WORKING John and Pete robbed a bank.
They split the cash in the ratio 3:5
John got £120.
How much did Pete get?
How much did they steal in total?
How many piles did John get? 3
Each pile is worth: 120 ÷ 3 = £40
WORKING
Pete got £200.
Pete got 5 piles of cash.
So, £40 x 5 = £200
Total = £120 + £200 = £320

39. WORKING Jo and Tim robbed a bank. They split the cash in the ratio 4:9
John got £240.
How much did Jo get?
How much did they steal in total?
How many piles did John get? 4
Each pile is worth: 240 ÷ 4 = £60
WORKING
Tim got £540.
Pete got 9 piles of cash.
So, £60 x 9 = £540
Total = £240 + £540 = £780

40. Plenary

41. RATIO 2:1 John and Pete robbed a second bank… …they stole $1500!
They split the cash into 3 piles.
As the mastermind, John got 2 of the piles.
Pete got 1.
How much did John get?
How much did Pete get?
$1000
$500
RATIO
2:1

42. RATIO 3:1 John and Pete rob a bank… …they stole $1000!
They split the cash into 4 piles.
As the mastermind, John got 3 of the piles.
Pete got 1.
How much did John get?
How much did Pete get?
$750
$250
RATIO
3:1