MathsYears 10–11Number

Ratio and proportion

Simplify ratios, share in a given ratio, solve direct and inverse proportion problems

What you'll learn

  1. 1

    Imagine you're making orange squash. For every 1 part of squash, you add 4 parts of water. That's a ratio of 1:4!

  2. 2

    If the ratio of squash to water is 1:4, how much water do you add for 1 part of squash?

  3. 3

    Use the bar model to show 1 part squash and 4 parts water. How many parts are there in total?

  4. 4

    Let's work out: If the ratio of boys to girls in a class is 2:3 and there are 10 boys, how many girls are there?

  5. 5

    Now try this: The ratio of red to blue marbles is 3:5. There are 12 red marbles. How many blue marbles are there? Use the bar model to help.

  6. 6

    The ratio of cats to dogs is 1:2. If there are 7 cats, how many dogs are there?

  7. 7

    A recipe uses a ratio of flour to sugar of 3:1. If you use 9 cups of flour, how much sugar do you need?

Practise Ratio and proportion with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 14–16. Aligned to the UK National Curriculum.