ratio

• Mathematics
• Lower Secondary (Key Stage 3)

ratio

Working out Ratios

Ratio is a way in which quantities can be divided or shared.

Example

Share £20 between two people in a ratio of 3:1

A ratio of 3 + 1 = 4 parts, the money needs to be divided into 4 parts.

      20 ÷ 4 = £5  

So 1 person gets  3 x 5 and the other person gets 1 x 5 

£20 is divided between Ann and Jim in the ratio 3 : 2​

How much money does each get?​

3 + 2 = 5 parts​

  

 

We can simplify Ratios which ratios are pairs? 

6:9	1:10
8:5	1:2
5:10	4:3
7:21	2:3
10:100	24:15
20:15	1:3

Write the ratio 15:50 in its simplest form

1. 5:10
2. 10:25
3. 3:10
4. 30:100

Sean and Sally share £ 70 in the ratio
6:4
how much did Sally get

1. £7
2. £14
3. £40
4. £28

What is the ratio of boys to girls in this room

1. 0:8
2. 8:3
3. 7:4
4. 8:0

What is the ratio 75:25
in its simplest form

1. 7:2
2. 6:2
3. 5:1
4. 3:1

Share 56 sweets in the ratio 2 : 5.

1. 16:40
2. 10:20
3. 26:30
4. 20:50

Paul shares £600 with his sisters in the ratio 5:3:2
how much did Paul keep

1. £300
2. £250
3. £350
4. £150

Sam and Ronan share their prize money in a ratio of 3:1
if Sam got £45 how much was the prize money altogether

1. £90
2. £60
3. £70
4. £80

Share 150 in the ratio
5:3:2

1. 1:5:0
2. 10:50:00
3. 30:45:75
4. 75:45:30

Share 64 in the ratio
4:3:1

1. 8:6:2
2. 16:12:4
3. 32:24:8
4. 20:18:8