Fractions worksheet
8 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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3 marks
Idris is working out \(\frac{ 1 }{ 2 } + \frac{ 1 }{ 8 }\)
He writes \(\frac{ 1 }{ 2 } + \frac{ 1 }{ 8 } = \frac{ 2 }{ 10 }\)
(a)Explain what Idris has done wrong.
(b)Work out the correct answer to \(\frac{ 1 }{ 2 } + \frac{ 1 }{ 8 }\)
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2 marks
Find the value of \(\frac{ 4 }{ 5 } \times \frac{ 1 }{ 2 }\)
Give your answer in its simplest form.
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3 marks
Work out \(3\frac{3}{4} + 5\frac{2}{5}\)
Give your answer as a mixed number.
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3 marks
Work out the value of \(3\frac{1}{5} \times 1\frac{4}{5}\)
Give your answer as a mixed number.
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5 marks
(a)
Find the value of \(\frac{ 3 }{ 5 } \div \frac{ 7 }{ 10 }\)
Give your answer in its simplest form.
(b)Find the value of \(4\frac{1}{5} \div 1\frac{1}{5}\)
Give your answer as a mixed number.
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3 marks
Work out \(3\frac{1}{4} - 1\frac{3}{8}\)
Give your answer as a mixed number.
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3 marks
A piece of rope is \(7\frac{1}{2}\) m long.
It is cut into pieces, each of length \(\frac{3}{4}\) m.
Work out how many pieces there are.
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5 marks
Tomas spends \(\frac{ 1 }{ 4 }\) of his money on a second-hand book.
He then spends \(\frac{ 3 }{ 5 }\) of what is left on a coffee.
(a)What fraction of his money does Tomas have left?
(b)Tomas had £360 at the start.
How much money does he have left?
Answers
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(a) Idris has added the numerators and added the denominators. Fractions can only be added once they have been rewritten with the same denominator.
(b) \(\frac{5}{8}\) - \(\frac{2}{5}\)
- \(9\frac{3}{20}\)
- \(5\frac{19}{25}\)
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(a) \(\frac{6}{7}\)
(b) \(3\frac{1}{2}\) - \(1\frac{7}{8}\)
- \(10\)
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(a) \(\frac{3}{10}\)
(b) \(\text{£}108\)