Robinson Tuition
Year 7 · Key Stage 3 · free KS3 maths worksheet

Ratio and proportion

12 original questions, 25 marks. Type your answers below for an instant mark and a score (algebra in any equivalent form, e.g. 2sqrt(3) or 2√3), or print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

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The questions

1

Write down the ratio 20 : 35 in its simplest form.

1 mark
Show answer
4 : 7
2

In a Year 7 class there are 12 girls and 18 boys.

  1. Write down the ratio of girls to boys in its simplest form.
  2. Write the ratio of girls to boys in the form 1 : n
2 marks
Show answer
a) 2 : 3 b) 1 : 1.5
3

Write down the ratio 45 cm : 1.5 m in its simplest form.

2 marks
Show answer
3 : 10
4

Zara and Ben share £45 of birthday money in the ratio 4 : 5

Work out how much money each of them gets.

2 marks
Show answer
Zara) £20 Ben) £25
5

Kemi and Layla share some money in the ratio 3 : 7.

Kemi says, "I get 37 of the money."

Kemi is wrong. Explain why.

1 mark
Show answer
There are 3 + 7 = 10 parts in total, so Kemi gets 310 of the money, not 37
6

In a gym class, the ratio of the number of men to the number of women is 4 : 5.

There are 20 men in the class.

Work out the total number of people in the class.

2 marks
Show answer
45
7

Orange squash is made by mixing concentrate and water in the ratio 1 : 6

Ali makes 1.4 litres of orange squash for his football team.

How many millilitres of concentrate does he use?

2 marks
Show answer
200 ml
8

A recipe for 4 people uses 300 g of pasta.

Work out how much pasta is needed for 10 people.

2 marks
Show answer
750 g
9

5 packets of football stickers cost £3.50

Work out the cost of 8 packets of the same stickers.

2 marks
Show answer
£5.60
10

Amir, Bella and Carl share £132 in the ratio 1 : 4 : 6.

Work out how much money each of them gets.

3 marks
Show answer
Amir) £12 Bella) £48 Carl) £72
11

It takes 3 parents 8 hours to paint the fence around a school field.

Everyone works at the same rate.

  1. How long would it take 4 parents to paint the fence?
  2. How long would it take 6 parents to paint the fence?
3 marks
Show answer
a) 6 hours b) 4 hours
12

Ella and Ravi share some sweets in the ratio 3 : 5

Ravi gets 12 more sweets than Ella.

How many sweets do they share altogether?

3 marks
Show answer
48

Your score

Answer the questions above and your score appears here.

Every question here is original and written by Robinson Tuition. It follows the Key Stage 3 programme of study; Year 9 sheets end with extension questions for top sets.

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