NBT NBT Quantitative Literacy: Ratios, Proportions and Rates 1

Question 1

A fruit punch recipe uses orange juice, mango juice, and water in the ratio 3:2:5. If you want to make 4 litres of punch, how much orange juice do you need?

Accepted Answer

1.2 litres

Answer

Orange juice is 3 parts out of 3+2+5=10 total, so 3/10 × 4 = 1.2 litres.

Question 2

A car travels 270 km in 3 hours. At the same speed, how far will it travel in 5 hours?

Accepted Answer

450 km

Answer

Speed = 270 ÷ 3 = 90 km/h; distance in 5 hours = 90 × 5 = 450 km.

Question 3

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

Accepted Answer

3 km

Answer

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

Question 4

Petrol costs R22.50 per litre. How much does it cost to fill a 45-litre tank?

Accepted Answer

R1 012.50

Answer

Cost = 22.50 × 45 = R1 012.50.

Question 5

A worker earns R180 per hour. If the hourly rate increases in the same proportion as 5:6, what will the new hourly rate be?

Accepted Answer

R216

Answer

New rate = 180 × (6/5) = 180 × 1.2 = R216.

(NBT) National Benchmark Test Practice Test

(NBT) National Benchmark Test Practice Test

NBT NBT Quantitative Literacy: Ratios, Proportions and Rates 1