Civil Service Numerical Reasoning Test Percentages and Ratios 2

Question 1

In a survey, 120 out of 400 people agreed with a policy. What percentage agreed?

Accepted Answer

30%

Answer

(120 ÷ 400) × 100 = 30%.

Question 2

A mixture contains ingredients A and B in a 5:3 ratio. If you need 400g of the mixture, how much of ingredient A is needed?

Accepted Answer

250g

Answer

Total parts = 8. A's share = (5/8) × 400 = 250g.

Question 3

A department's budget increased from £90,000 to £99,000. What was the percentage increase?

Accepted Answer

10%

Answer

Increase = £9,000. (9,000 ÷ 90,000) × 100 = 10%.

Question 4

What is 120% of £350?

Accepted Answer

£420

Answer

120% of £350 = 1.20 × 350 = £420.

Question 5

A shop has 180 items. 45 are on sale. What percentage are on sale?

Accepted Answer

25%

Answer

(45 ÷ 180) × 100 = 25%.

Civil Service Numerical Reasoning Practice Test