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Solve Problems Involving Ratio

In this worksheet, students will use ratio to solve problems

'Solve Problems Involving Ratio' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Ratio, Proportion and Rates of Change

Curriculum subtopic:   Use Ratio Notation

Difficulty level:  

Worksheet Overview

In this activity, we will use what we know about ratio to solve some tricky problems. 



Bobs and Babs are sharing the cost of a birthday cake for their Mum in the ratio of 3:2

The cake is £15.50, but the shop will give them a 20% discount.

How much is Bobs paying?


boy thinking



The first thing we should know about ratio is that the order of the ratio must follow the sentence.




We next need to work out the cost of the cake.

It costs £15.50  but there is a 20% discount.


We can either find 20% (10% = £1.55, so 20% = £3.10) and subtract that: £15.50 - £3.10 = £12.40


Or we can do 15.50 x 0.80 (remember, 0.8 gives us 80% which is 100% - 20% = 80%)

£15.50 x 0.80 = £12.40

The cake will cost them £12.40


birthday cake


Bobs and Babs are paying £12.40 in the ratio 3:2


Next, we divide the ratios to get the cost of 1 part:

12.40 ÷ (3 + 2) = 12.40 ÷ 5

= £2.48 for 1 part


Bobs is paying 3 parts:

3 x £2.48 = £7.44

Bobs pays £7.44


That was a lot to work through - did it make sense?


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