1.18 Multiplying and dividing fractions
9 exam questions worth 21 marks. Write your answer, open the mark scheme, then give yourself the marks you earned. Your answers are saved on this device.
0 / 21
What is \dfrac{2}{3} \times \dfrac{3}{4}?
Choose one answer.
Correct Not quite: the answer is \( \dfrac{1}{2} \)
Mark scheme
B: \dfrac{1}{2}
Model answer
\dfrac{1}{2} (B). 2 × 3 = 6 and 3 × 4 = 12, so 6/12 = 1/2.
Work out \dfrac{3}{5} \times \dfrac{10}{21}. Give your answer in its simplest form.
Mark scheme
M1: 30/105 or cancelling; A1: 2/7
Model answer
3 × 10 = 30 and 5 × 21 = 105, so 30/105 = 2/7.
Work out 1\dfrac{1}{2} \times 2\dfrac{2}{3}.
Mark scheme
M1: 3/2 and 8/3; M1: 24/6 (or cancelling); A1: 4
Model answer
3/2 × 8/3 = 24/6 = 4.
Work out \dfrac{3}{5} \div \dfrac{2}{3}.
Mark scheme
M1: 3/5 × 3/2; A1: 9/10
Model answer
3/5 × 3/2 = 9/10.
Work out 2 \div \dfrac{1}{4}.
Mark scheme
M1: 2 × 4; A1: 8
Model answer
Dividing by 1/4 is the same as multiplying by 4: 2 × 4 = 8.
Work out 1\dfrac{1}{2} \div \dfrac{3}{4}.
Mark scheme
M1: 3/2 ÷ 3/4; M1: 3/2 × 4/3; A1: 2
Model answer
3/2 × 4/3 = 12/6 = 2.
Work out -\dfrac{2}{3} \times \dfrac{9}{10}. Give your answer in its simplest form.
Mark scheme
M1: -18/30 or cancelling; A1: -3/5
Model answer
-2/3 × 9/10 = -18/30 = -3/5.
A recipe uses \frac{3}{4} of a cup of sugar to make 12 biscuits. How much sugar is needed to make 8 biscuits?
Mark scheme
M1: 8/12 = 2/3 of the recipe; M1: 2/3 × 3/4; A1: 1/2 cup
Model answer
8 biscuits is 8/12 = 2/3 of the recipe. 2/3 × 3/4 = 6/12 = 1/2 cup.
A sack of rice weighs 4\frac{1}{2} kg. How many bags of rice, each holding \frac{3}{8} kg, can be filled from the sack?
Mark scheme
M1: 9/2 ÷ 3/8; M1: 9/2 × 8/3; A1: 12
Model answer
4 1/2 = 9/2. 9/2 ÷ 3/8 = 9/2 × 8/3 = 72/6 = 12 bags.
Found a mistake?