11+ Numerical Reasoning 2

Question 1

A class of 30 students took a test. 60% passed. How many students failed?

Accepted Answer

12

Answer

If 60% passed, then 40% failed. 40% of 30 = 0.4 × 30 = 12 students failed.

Question 2

A recipe uses flour and sugar in the ratio 5:2. If 350g of flour is used, how much sugar is needed?

Accepted Answer

140g

Answer

Flour:Sugar = 5:2. If flour = 350g, one part = 350 ÷ 5 = 70g. Sugar = 2 × 70 = 140g.

Question 3

A box has 24 chocolates. 1/3 are milk chocolate, 1/4 are dark chocolate, and the rest are white chocolate. How many are white chocolate?

Accepted Answer

10

Answer

Milk = 1/3 × 24 = 8. Dark = 1/4 × 24 = 6. White = 24 - 8 - 6 = 10.

Question 4

A car's fuel tank holds 48 litres. It uses 6 litres per 100 km. How far can the car travel on a full tank?

Accepted Answer

800 km

Answer

Distance = (48 ÷ 6) × 100 = 8 × 100 = 800 km.

Question 5

In a sale, all prices are reduced by 1/5. A jacket originally costs £45. What is the sale price?

Accepted Answer

£36

Answer

Reduction = 1/5 × £45 = £9. Sale price = £45 - £9 = £36.

11+ Practice Test