Ratio and proportion are ways of expressing the relationship between two or more quantities. We use them all the time: the instructions for making up squash will often say that you use 1 part squash to 4 parts water. This is a ratio (1:4).

Maths problems that include ratio and proportion are usually set in a practical context, such as mixing paint or scaling up ingredients in a recipe.

Teach your children about the ratio and proportion using our handy topic guide!

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Ratio and Proportion Facts

• A ratio is a way of comparing the size of two quantities in relation to each other. For example, if there are 2 blue marbles and 3 red marbles, the ration is 2:3.
• Proportion tells us how much of one thing there is out of a whole number. For example, if there are 2 blue marbles and 3 red marbles, the proportion of red marble is 3 out of 5.
• When you simplify a ratio, you need to divide all of the numbers in the ratio by the same number.

Videos

Introduction to ratio and proportion

This lesson recorded lesson is a good introduction to the topic and includes a vocabulary list.

Running time: 4:51

Proportion – Primary

There are great worked examples of ratio and proportion problems in this video.

Running time: 6:38

Proportion: Ice Cream example

This quick video shows how to solve a KS2 SATs question on proportion.

Running time: 0:54

Books

Pythagoras and the Ratios

Find out how ratios are used in music while you enjoy this funny story.

Maths is Easy - Ratio, Proportion and Algebra

This revision guide is clearly set out with information and practice problems.

Speed, Proportion and Ratio

This workbook is perfect for practising ratio and proportion.

SAT Smasher: Ratio and Proportion

Practise using ratio and proportion with this book.

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