Ratios

11+ Maths, topic 6.1.1

Ratios

A ratio shows how much there is of one thing compared with another thing.

How to write ratios

How to write ratios

How to find the number of parts

How to find the number of parts

Example farm ratio problem

Example farm ratio problem

  • The ratio of cows to sheep on a farm is 2:3. I have 500 animals in total.
  • How many cows are there and how many sheep?
1) Work out the number of parts

1) Work out the number of parts

2) Divide number of animals by parts

2) Divide number of animals by parts

  • Divide the total number of animals by the total number of parts to find out how many animals there are in each equal part.
3) Multiply ratios by 100

3) Multiply ratios by 100

  • Multiply 100 (the number of animals in each part) by each side of the ratio to find the numbers of cows and sheep.
Write the answers

Write the answers

  • There are 200 cows and 300 sheep.

Test yourself on Ratios

  • Apple squash needs to be mixed with water in the ratio 1:2. If I make a 600 ml drink, how many ml of apple squash did I use?

  • Harriet and Jess share 60 stickers between them in the ratio 7:5. How many stickers does Jess receive?

Practise this topic for free