NBT NBT Quantitative Literacy: Ratios, Proportions and Rates 2 — Questions and Answers
Question 1: R12 000 is divided among three siblings in the ratio 1:3:2. How much does the sibling with the largest share receive?
- R6 000 (Correct answer)
- R2 000
- R4 000
- R3 000
Correct answer: R6 000
Total parts = 1+3+2 = 6; largest share = 3/6 × 12 000 = R6 000.
Question 2: A cyclist rides at a constant speed of 18 km/h. How many minutes does it take to cover 9 km?
- 30 minutes (Correct answer)
- 20 minutes
- 45 minutes
- 15 minutes
Correct answer: 30 minutes
Time = 9 ÷ 18 = 0.5 hours = 30 minutes.
Question 3: A photograph 8 cm wide and 12 cm tall is enlarged so that the width becomes 20 cm. What is the new height?
- 30 cm (Correct answer)
- 25 cm
- 28 cm
- 32 cm
Correct answer: 30 cm
Scale factor = 20 ÷ 8 = 2.5; new height = 12 × 2.5 = 30 cm.
Question 4: A tap fills a 240-litre tank in 4 hours. What is the flow rate of the tap in litres per minute?
- 1 litre per minute (Correct answer)
- 2 litres per minute
- 0.5 litres per minute
- 4 litres per minute
Correct answer: 1 litre per minute
Rate = 240 ÷ (4 × 60) = 240 ÷ 240 = 1 litre per minute.
Question 5: Paint is mixed in the ratio 5 parts white to 2 parts red. How many millilitres of red paint are needed to make 350 ml of the mixture?
- 100 ml (Correct answer)
- 50 ml
- 150 ml
- 70 ml
Correct answer: 100 ml
Red fraction = 2/(5+2) = 2/7; red needed = (2/7) × 350 = 100 ml.
Question 6: If 5 kg of apples cost R65, what is the cost of 8 kg?
- R104 (Correct answer)
- R96
- R112
- R120
Correct answer: R104
Unit rate = 65 ÷ 5 = R13/kg; cost = 13 × 8 = R104.
Question 7: A density of 8 g/cm³ means an object has a mass of 200 g. What is the volume of this object?
- 25 cm³ (Correct answer)
- 20 cm³
- 40 cm³
- 16 cm³
Correct answer: 25 cm³
Volume = mass ÷ density = 200 ÷ 8 = 25 cm³.
NBT NBT Quantitative Literacy: Ratios, Proportions and Rates 2
R12 000 is divided among three siblings in the ratio 1:3:2.
How much does the sibling with the largest share receive?