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Express Ratio in the Form 1:n

In this worksheet, students will express a ratio in the form 1:n

'Express Ratio in the Form 1:n' 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 simplify ratio where one of the parts of the ratio will have a value of 1.


For example, 



We call this type of simplifying 1:n (where n can be any number)

The reason we do this is because maps and scale drawings are usually given as a ratio of 1: another value.

It is a great way to compare data too!


girl thinking


You may have seen the scale on a map written as: 



A typical question might look like this:



Express 2:3 in the form 1:n



In this case, the left-hand side needs to be 1

As it is currently 2, we need to divide by 2 to make that 1

We must then do the same to the right-hand side. 



Therefore, we write the answer as 1:1.5


Don't worry that you have a decimal number in the ratio - this often happens!


Let's have a go at some questions now.


girl writing


You will need a calculator!

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