GCSE Ratio and Proportion (Foundation Maths)

Question 1

Simplify the ratio 18 : 24 to its simplest form.

Accepted Answer

3 : 4

Answer

The highest common factor of 18 and 24 is 6, so dividing both parts by 6 gives 3 : 4.

Question 2

Share £150 between Amy and Ben in the ratio 2 : 3. How much does Ben get?

Accepted Answer

£90

Answer

There are 2 + 3 = 5 parts, so one part is £150 ÷ 5 = £30. Ben gets 3 parts = £90.

Question 3

A recipe for 4 people uses 300 g of flour. How much flour is needed for 10 people?

Accepted Answer

750 g

Answer

For 1 person, 300 ÷ 4 = 75 g. For 10 people, 75 × 10 = 750 g.

Question 4

Write the ratio 2 : 5 in the form 1 : n.

Accepted Answer

1 : 2.5

Answer

Divide both parts by 2: 2 ÷ 2 = 1 and 5 ÷ 2 = 2.5, giving 1 : 2.5.

Question 5

The exchange rate is £1 = €1.15. How many euros would you get for £240?

Accepted Answer

€276.00

Answer

Multiply the pounds by the rate: 240 × 1.15 = €276.

GCSE - General Certificate of Secondary Education Practice Test