[discia] GCSE Maths › Number › Fractions, Decimals and Percentages

Fractions, Decimals and Percentages

discia.org 10 questions · 19 marks
Name Date
  1. Either paper 2 marks
    (a)

    Write \(15\%\) as a decimal.

    (b)

    Write \(15\%\) as a fraction in its simplest form.

    Show answer
    (a) \(0.15\)
    (b) \(\frac{3}{20}\)
    Another like this
  2. Non-calculator 1 mark

    Express \(\frac{ 24 }{ 50 }\) as a percentage.

    Show answer
    \(48\%\)
    Another like this
  3. Either paper 3 marks

    The table shows some fractions, decimals and percentages that are worth knowing by heart. Three of the boxes are empty.

    FractionDecimalPercentage
    \(\frac{ 9 }{ 10 }\)(a)\(90\%\)
    (b)\(0.7\)\(70\%\)
    \(\frac{ 1 }{ 5 }\)\(0.2\)(c)
    (a)

    Write down the decimal that goes in box (a).

    (b)

    Write down the fraction that goes in box (b). Give it in its simplest form.

    (c)

    Write down the percentage that goes in box (c).

    Show answer
    (a) \(0.9\)
    (b) \(\frac{7}{10}\)
    (c) \(20\%\)
    Another like this
  4. Either paper 2 marks

    Each part has its own grid of equal squares.

    (a)

    Shade \(\frac{ 9 }{ 10 }\) of the grid. The grid is made of 20 equal squares.

    (b)

    Shade 35% of the grid. The grid is made of 40 equal squares.

    Show answer
    (a) Any 18 of the 20 squares shaded
    (b) Any 14 of the 40 squares shaded
    (a)
    (b)
    Another like this
  5. Either paper 1 mark

    Two of these six numbers are equal.

    \(\frac{4}{3} \qquad 0.75 \qquad 75\% \qquad \frac{3}{40} \qquad 75 \qquad 750\%\)

    Write down the two numbers.

    Show answer
    The decimal and the percentage: the two numbers with the value \(\frac{3}{4}\) = \(0.75\) = \(75\%\)
    Another like this
  6. Either paper 1 mark

    Work out \(\frac{ 1 }{ 20 } + 0.39\)

    Give your answer as a decimal.

    Show answer
    \(0.44\)
    Another like this
  7. Either paper 3 marks
    (a)

    Write \(0.425\) as a fraction.

    Give your answer in its simplest form.

    (b)

    Write \(0.425\) as a percentage.

    Show answer
    (a) \(\frac{17}{40}\)
    (b) \(42.5\%\)
    Another like this
  8. Either paper 2 marks
    (a)

    Write \(\frac{ 3 }{ 20 }\) as a decimal.

    (b)

    Write \(\frac{ 3 }{ 20 }\) as a percentage.

    Show answer
    (a) \(0.15\)
    (b) \(15\%\)
    Another like this
  9. Either paper 2 marks

    Write these numbers in order of size, starting with the smallest.

    \(\frac{7}{20} \qquad 0.25 \qquad 20\% \qquad \frac{1}{10}\)

    Write each number as a percentage.

    Show answer
    \(10\%,\ 20\%,\ 25\%,\ 35\%\)
    Another like this
  10. Either paper 2 marks

    Pace Sports takes \(\frac{ 9 }{ 20 }\) off the price of a pair of running shoes.

    Rundale Sports takes \(39\%\) off the price of the same pair of running shoes.

    Which shop gives the bigger discount? You must show your working.

    Show answer
    Pace Sports
    Another like this
discia.org Fractions, Decimals and Percentages · sheet 1
Answers Fractions, Decimals and Percentages · sheet 1
  1. (a) \(0.15\)
    (b) \(\frac{3}{20}\)
  2. \(48\%\)
  3. (a) \(0.9\)
    (b) \(\frac{7}{10}\)
    (c) \(20\%\)
  4. (a) Any 18 of the 20 squares shaded
    (b) Any 14 of the 40 squares shaded
    (a)
    (b)
  5. The decimal and the percentage: the two numbers with the value \(\frac{3}{4}\) = \(0.75\) = \(75\%\)
  6. \(0.44\)
  7. (a) \(\frac{17}{40}\)
    (b) \(42.5\%\)
  8. (a) \(0.15\)
    (b) \(15\%\)
  9. \(10\%,\ 20\%,\ 25\%,\ 35\%\)
  10. Pace Sports
discia.org Fractions, Decimals and Percentages · sheet 1