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Solve Word Problems Involving Ratio

In this worksheet, students will use ratio to solve word problems

'Solve Word Problems Involving Ratio' worksheet

Key stage:  KS 3

Year:  Year 7 Maths worksheets

Curriculum topic:   Ratio, Proportion and Rates of Change

Curriculum subtopic:   Divide/Express Quantities as Ratios

Difficulty level:  

Worksheet Overview

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



A tennis player wins and loses matches in the ratio 7:3

If she has lost 15 matches, how many has she won?


girl playing tennis



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


win: lose



We are told that 15 matches have been lost.



Let's look at what we multiplied 3 by to get to 15



3 x 5 = 15 and 15 ÷ 3 = 5


Therefore, if we multiply 7 by 5 we should be able to work out the number of wins.



So, she has won 35 matches.


happy girl dancing


Does that make sense?


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