NBT NBT Quantitative Literacy: Ratios, Proportions and Rates 4

Question 1

A recipe requires sugar and flour in the ratio 1:4. If you use 150 g of sugar, how much flour do you need?

Accepted Answer

600 g

Answer

Flour = 4 × 150 = 600 g.

Question 2

A 240 km drive takes 3 hours. A second drive covers 160 km at the same speed. How long does the second drive take?

Accepted Answer

2 hours

Answer

Speed = 240 ÷ 3 = 80 km/h; time = 160 ÷ 80 = 2 hours.

Question 3

On a map with scale 1:250 000, what length on the map represents an actual distance of 50 km?

Accepted Answer

20 cm

Answer

50 km = 5 000 000 cm; map length = 5 000 000 ÷ 250 000 = 20 cm.

Question 4

A worker earns R1 500 for working 40 hours. How much will she earn for working 52 hours at the same rate?

Accepted Answer

R1 950

Answer

Hourly rate = 1 500 ÷ 40 = R37.50; earnings = 37.50 × 52 = R1 950.

Question 5

A 500 ml bottle of shampoo costs R45. A 750 ml bottle of the same brand costs R63. Which gives better value for money?

Accepted Answer

750 ml bottle

Answer

500 ml: R45/500 = R0.09/ml; 750 ml: R63/750 = R0.084/ml — the 750 ml bottle is cheaper per ml.

(NBT) National Benchmark Test Practice Test