Discia GCSE Maths › Ratio and Proportion › Conversions and Units

Conversions and Units worksheet

10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

10 questions 38 marks Sheet 1
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  1. 4 marks

    The graph can be used to change between miles and kilometres.

    A conversion graph, a straight line from the origin, with miles across and kilometres up5101520253010203040500mileskilometres
    (a)

    Use the graph to change \(10\) miles into kilometres.

    (b)

    Use the graph to change \(8\) kilometres into miles.

  2. 4 marks

    Callum has an old cookery book that measures liquids in pints, but the jug he owns is marked in litres.

    The graph can be used to change between litres and pints.

    A conversion graph, a straight line from the origin, with litres across and pints up510152025510152025303540450litrespints
    (a)

    Use the graph to change \(4\) litres into pints.

    (b)

    Use the graph to change \(28\) pints into litres.

  3. 3 marks
    (a)

    Erin has \(4.9\) m of braid.

    She cuts as many \(40\) cm pieces from it as she can.

    Work out how many pieces she cuts.

    (b)

    Work out the length of braid left over.

    Give your answer in centimetres.

  4. 4 marks
    (a)

    \(1\) foot is the same as \(30\) centimetres.

    Work out the number of centimetres in \(13\) feet.

    (b)

    Work out the number of feet in \(870\) centimetres.

  5. 4 marks
    (a)

    A rectangular rug measures \(110\) cm by \(90\) cm.

    Work out the area of the rug.

    Give your answer in cm\(^2\).

    (b)

    Work out the area of the rug in m\(^2\).

  6. 4 marks

    The graph can be used to change between miles and kilometres.

    A conversion graph, a straight line from the origin, with miles across and kilometres up5101520253035404510203040506070800mileskilometres
    (a)

    Use the graph to change \(10\) miles into kilometres.

    (b)

    Use the graph to change \(8\) kilometres into miles.

  7. 4 marks

    Noah has an old cookery book that measures liquids in pints, but the jug he owns is marked in litres.

    The graph can be used to change between litres and pints.

    A conversion graph, a straight line from the origin, with litres across and pints up510152025510152025303540450litrespints
    (a)

    Use the graph to change \(12\) litres into pints.

    (b)

    Use the graph to change \(35\) pints into litres.

  8. 3 marks
    (a)

    Priya has \(1.7\) m of braid.

    She cuts as many \(20\) cm pieces from it as she can.

    Work out how many pieces she cuts.

    (b)

    Work out the length of braid left over.

    Give your answer in centimetres.

  9. 4 marks
    (a)

    \(1\) mile is the same as \(1.6\) kilometres.

    Work out the number of kilometres in \(45\) miles.

    (b)

    Work out the number of miles in \(25.6\) kilometres.

  10. 4 marks
    (a)

    A rectangular poster measures \(50\) cm by \(190\) cm.

    Calculate the area of the poster.

    Give your answer in cm\(^2\).

    (b)

    Calculate the area of the poster in m\(^2\).

Answers

  1. (a) \(16\ \text{km}\)
    (b) \(5\ \text{miles}\)
  2. (a) \(7\ \text{pints}\)
    (b) \(16\ \text{litres}\)
  3. (a) \(12\)
    (b) \(10\ \text{cm}\)
  4. (a) \(390\ \text{centimetres}\)
    (b) \(29\ \text{feet}\)
  5. (a) \(9900\ \text{cm}^2\)
    (b) \(0.99\ \text{m}^2\)
  6. (a) \(16\ \text{km}\)
    (b) \(5\ \text{miles}\)
  7. (a) \(21\ \text{pints}\)
    (b) \(20\ \text{litres}\)
  8. (a) \(8\)
    (b) \(10\ \text{cm}\)
  9. (a) \(72\ \text{kilometres}\)
    (b) \(16\ \text{miles}\)
  10. (a) \(9500\ \text{cm}^2\)
    (b) \(0.95\ \text{m}^2\)

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