Ratio, proportion and percentage change – Year 10 GCSE maths test to download as PDF

Non-calculator.

1. Write \(45:60\) in its simplest form. (1 mark)
2. Share £360 in the ratio \(2:3:7\). (3 marks)

Calculator allowed.

1. 5 kg of potatoes cost £3.40. Work out the cost of 8 kg. (2 marks)
2. A 400 g jar of jam costs £1.60 and a 650 g jar costs £2.47. Which is better value? Show your working. (2 marks)

A map has scale \(1:50\,000\).

1. Two towns are 7.2 cm apart on the map. Find the real distance in km. (2 marks)
2. A road is 18 km long. How long is it on the map in cm? (2 marks)

Calculator allowed.

1. A laptop costs £480 plus 20% VAT. Work out the total price. (1 mark)
2. A sofa is reduced by 30% in a sale and now costs £525. Work out the original price. (2 marks)
3. A number is increased by 12% and then decreased by 12%. Show that the result is smaller than the original. (1 mark)

The ages of two cousins are in the ratio \(4:7\). The older cousin is 12 years older than the younger.

1. Let the ages be \(4k\) and \(7k\). Form an equation and solve it. (2 marks)
2. Find the two ages. (1 mark)
3. In how many years will the ratio of their ages be \(5:8\)? (1 mark)