Fractions/Mixed fractions
Number
- Foundation
- Non-calculator
- 8 questions
- 29 marks
These are original practice questions, not a past paper. This site is independent and not affiliated with AQA or Pearson.
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Work out $\dfrac{2}{5} + \dfrac{1}{4}$.
2 marks
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Work out $\dfrac{3}{4} - \dfrac{2}{5}$.
2 marks
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Work out $\dfrac{2}{3} \times \dfrac{9}{10}$. Give the answer in its simplest form.
3 marks
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Work out $\dfrac{3}{4} \div \dfrac{5}{6}$.
3 marks
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Work out $2\dfrac{1}{3} + 1\dfrac{3}{4}$. Give the answer as a mixed number.
4 marks
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Work out $3\dfrac{1}{2} \times 1\dfrac{2}{5}$. Give the answer as a mixed number.
4 marks
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A bottle is $\dfrac{3}{4}$ full of juice. Leah drinks $\dfrac{2}{5}$ of the juice that is in the bottle. What fraction of the whole bottle is left?
5 marks
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A recipe for $12$ biscuits uses $\dfrac{3}{4}$ cup of sugar and $\dfrac{2}{3}$ cup of flour. How much sugar, how much flour, and how many cups in total are needed for $30$ biscuits?
6 marks
Mark scheme
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Answer. $\dfrac{13}{20}$
- $\dfrac{8}{20} + \dfrac{5}{20}$
- $\dfrac{13}{20}$
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Answer. $\dfrac{7}{20}$
- $\dfrac{15}{20} - \dfrac{8}{20}$
- $\dfrac{7}{20}$
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Answer. $\dfrac{3}{5}$
- $\dfrac{2 \times 9}{3 \times 10} = \dfrac{18}{30}$
- $\dfrac{3}{5}$
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Answer. $\dfrac{9}{10}$
- $\dfrac{3}{4} \times \dfrac{6}{5} = \dfrac{18}{20}$
- $\dfrac{9}{10}$
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Answer. $4\dfrac{1}{12}$
- $\dfrac{7}{3} + \dfrac{7}{4} = \dfrac{28}{12} + \dfrac{21}{12}$
- $\dfrac{49}{12} = 4\dfrac{1}{12}$
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Answer. $4\dfrac{9}{10}$
- $\dfrac{7}{2} \times \dfrac{7}{5} = \dfrac{49}{10}$
- $4\dfrac{9}{10}$
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Answer. $\dfrac{9}{20}$
- She drinks $\dfrac{2}{5} \times \dfrac{3}{4} = \dfrac{3}{10}$ of the bottle.
- Left $= \dfrac{3}{4} - \dfrac{3}{10} = \dfrac{15}{20} - \dfrac{6}{20}$.
- $\dfrac{9}{20}$
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Answer. Sugar $1\dfrac{7}{8}$ cups, flour $1\dfrac{2}{3}$ cups, total $3\dfrac{13}{24}$ cups
- Sugar: $\dfrac{30}{12} \times \dfrac{3}{4} = \dfrac{15}{8} = 1\dfrac{7}{8}$.
- Flour: $\dfrac{30}{12} \times \dfrac{2}{3} = \dfrac{5}{3} = 1\dfrac{2}{3}$.
- Total: $\dfrac{15}{8} + \dfrac{5}{3} = \dfrac{45}{24} + \dfrac{40}{24} = \dfrac{85}{24} = 3\dfrac{13}{24}$.