[discia] GCSE Maths › Number › Writing, Simplifying and Ordering Fractions

Writing, Simplifying and Ordering Fractions

discia.org 10 questions · 22 marks
Name Date
  1. Either paper 2 marks
    (a)

    Write \(66\%\) as a decimal.

    (b)

    Write \(66\%\) as a fraction in its simplest form.

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    (a) \(0.66\)
    (b) \(\frac{33}{50}\)
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  2. Either paper 1 mark

    Simplify \(\frac{ 22 }{ 24 }\)

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    \(\frac{11}{12}\)
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  3. Either paper 2 marks
    (a)

    Find the missing number.

    \(\frac{ 1 }{ 4 } = \frac{?}{ 20 }\)

    (b)

    Find the missing number.

    \(\frac{ 1 }{ 4 } = \frac{ 7 }{?}\)

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    (a) \(5\)
    (b) \(28\)
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  4. Either paper 3 marks

    A bag holds 27 beads. 3 of the beads are blue.

    (a)

    What fraction of the beads are blue? Give your answer in its simplest form.

    (b)

    What fraction of the beads are not blue?

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    (a) \(\frac{1}{9}\)
    (b) \(\frac{8}{9}\)
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  5. Either paper 2 marks
    (a)

    \(\frac{ 25 }{ 3 }\) is an improper fraction.

    Write it as a mixed number.

    (b)

    \(9\frac{7}{8}\) is a mixed number.

    Write it as an improper fraction.

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    (a) \(8\frac{1}{3}\)
    (b) \(\frac{79}{8}\)
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  6. Either paper 2 marks

    Here are two fractions.

    \(\frac{ 1 }{ 4 } \qquad \frac{ 3 }{ 5 }\)

    Which fraction is greater? You must show your working.

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    \(\frac{3}{5}\)
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  7. Either paper 3 marks
    (a)

    Write \(0.05\) as a fraction in its simplest form.

    (b)

    Write \(0.05\) as a percentage.

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    (a) \(\frac{1}{20}\)
    (b) \(5\%\)
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  8. Either paper 3 marks

    Here are four fractions.

    \(\frac{ 12 }{ 14 }, \quad \frac{ 48 }{ 56 }, \quad \frac{ 60 }{ 70 }, \quad \frac{ 30 }{ 36 }\)

    Three of them are equivalent. One is not.

    (a)

    State the fraction that is not equivalent to the other three.

    (b)

    State the simplest form of the other three.

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    (a) \(\frac{ 30 }{ 36 }\)
    (b) \(\frac{ 6 }{ 7 }\)
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  9. Either paper 3 marks
    Here are three numbers.
    A\(\frac{ 21 }{ 4 }\)
    B\(\frac{ 9 }{ 4 }\)
    C\(2\frac{ 3 }{ 4 }\)

    Write the letters A, B and C in order of size, starting with the smallest.

    Show answer
    B, C, A
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  10. Either paper 1 mark

    Write \(2.95\) as an improper fraction in its simplest form.

    Show answer
    \(\frac{59}{20}\)
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discia.org Writing, Simplifying and Ordering Fractions · sheet 1
Answers Writing, Simplifying and Ordering Fractions · sheet 1
  1. (a) \(0.66\)
    (b) \(\frac{33}{50}\)
  2. \(\frac{11}{12}\)
  3. (a) \(5\)
    (b) \(28\)
  4. (a) \(\frac{1}{9}\)
    (b) \(\frac{8}{9}\)
  5. (a) \(8\frac{1}{3}\)
    (b) \(\frac{79}{8}\)
  6. \(\frac{3}{5}\)
  7. (a) \(\frac{1}{20}\)
    (b) \(5\%\)
  8. (a) \(\frac{ 30 }{ 36 }\)
    (b) \(\frac{ 6 }{ 7 }\)
  9. B, C, A
  10. \(\frac{59}{20}\)
discia.org Writing, Simplifying and Ordering Fractions · sheet 1