1.21 Fractions of a quantity
9 exam questions worth 19 marks. Write your answer, open the mark scheme, then give yourself the marks you earned. Your answers are saved on this device.
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What is \frac{3}{4} of 36?
Choose one answer.
Correct Not quite: the answer is 27
Mark scheme
B: 27
Model answer
27 (B). 36 ÷ 4 = 9 and 9 × 3 = 27.
Work out \frac{2}{5} of £65.
Mark scheme
M1: 65 ÷ 5 = 13; A1: £26
Model answer
65 ÷ 5 = 13 and 13 × 2 = £26.
Work out \frac{5}{8} of 72 kg.
Mark scheme
M1: 72 ÷ 8 = 9; A1: 45 kg
Model answer
72 ÷ 8 = 9 and 9 × 5 = 45 kg.
Work out 1\frac{1}{2} of 18.
Mark scheme
M1: 18 ÷ 2 = 9 (or 3/2 × 18); A1: 27
Model answer
1 1/2 of 18 = 18 + 9 = 27.
Write 35 minutes as a fraction of 2 hours. Give your answer in its simplest form.
Mark scheme
M1: 35/120 (same units); A1: 7/24
Model answer
2 hours = 120 minutes, so the fraction is 35/120 = 7/24.
Write 45p as a fraction of £3. Give your answer in its simplest form.
Mark scheme
M1: 45/300; A1: 3/20
Model answer
£3 = 300p, so the fraction is 45/300 = 3/20.
\frac{3}{5} of a number is 24. Work out the number.
Mark scheme
M1: 24 ÷ 3 = 8; A1: 40
Model answer
One fifth is 24 ÷ 3 = 8, so the number is 8 × 5 = 40.
Ria has £360. She spends \frac{1}{3} of it on rent. She then spends \frac{1}{4} of the money she has left on food. How much money does Ria have left?
Mark scheme
M1: 360 ÷ 3 = 120 (£240 left); M1: 240 ÷ 4 = 60 (food); A1: £180
Model answer
Rent £120, so £240 is left. Food: 240 ÷ 4 = £60. Left: 240 - 60 = £180.
A shop reduces the price of a jacket by \frac{1}{4}. The sale price is £63. Work out the original price of the jacket.
Mark scheme
M1: sale price = 3/4 of the original; M1: 63 ÷ 3 = 21; A1: £84
Model answer
The sale price is 3/4 of the original price. 63 ÷ 3 = 21 is 1/4, so the original price is 21 × 4 = £84.
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