GCSE Ratio and Proportion (Foundation Maths) 2

Question 1

It takes 6 workers 8 days to build a wall. Working at the same rate, how long would it take 4 workers?

Accepted Answer

12 days

Answer

This is inverse proportion. Total work = 6 × 8 = 48 worker-days. 48 ÷ 4 = 12 days.

Question 2

Increase 80 by 15%.

Accepted Answer

92

Answer

15% of 80 is 12, so 80 + 12 = 92. Alternatively, 80 × 1.15 = 92.

Question 3

A jacket costs £45 in a sale after a 25% reduction. What was the original price?

Accepted Answer

£60

Answer

£45 is 75% of the original price, so original = 45 ÷ 0.75 = £60.

Question 4

A map has a scale of 1 : 50 000. Two towns are 6 cm apart on the map. What is the real distance between them?

Accepted Answer

3 km

Answer

6 cm × 50 000 = 300 000 cm = 3000 m = 3 km.

Question 5

Which of the following is the best value for money?

Accepted Answer

2 kg of pasta for £3.70

Answer

Cost per kg: A = £2.00, B ≈ £1.87, C = £1.90, D = £1.85. The 2 kg pack is cheapest per kg.

GCSE - General Certificate of Secondary Education Practice Test