[discia] GCSE Maths › Ratio and Proportion › Conversions and Units

Conversions and Units

discia.org 10 questions · 27 marks
Name Date
  1. Either paper 3 marks

    Here are four metric units of length.

    mm    cm    m    km

    Circle the unit that is most suitable for each measurement.

    (a)

    Which unit is most suitable for measuring the length of a pencil?

    (b)

    Which unit is most suitable for measuring the thickness of a coin?

    (c)

    Which unit is most suitable for measuring the length of a tennis court?

    Show answer
    (a) cm
    (b) mm
    (c) m
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  2. Either paper 1 mark
    Here are four lengths.
    4.6 cm0.074 km0.38 m63 mm
    Circle the shortest length.
    Show answer
    4.6 cm
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  3. Either paper 1 mark

    Change 30 metres into centimetres.

    Show answer
    \(3000\)
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  4. Either paper 1 mark

    Write \(2\frac{1}{4}\) hours in minutes.

    Show answer
    \(135\)
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  5. Either paper 4 marks

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

    51015202530351020304050600mileskilometres
    (a)

    Use the graph to change \(20\) miles into kilometres.

    (b)

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

    Show answer
    (a) \(32\ \text{km}\)
    (b) \(5\ \text{miles}\)
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  6. Either paper 4 marks

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

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

    510152025510152025303540450litrespints
    (a)

    Use the graph to change \(20\) litres into pints.

    (b)

    Use the graph to change \(21\) pints into litres.

    Show answer
    (a) \(35\ \text{pints}\)
    (b) \(12\ \text{litres}\)
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  7. Either paper 3 marks
    (a)

    Leila has \(3.3\) m of cord.

    She cuts as many \(25\) cm pieces from it as she can.

    Calculate how many pieces she cuts.

    (b)

    Calculate the length of cord left over.

    Give your answer in centimetres.

    Show answer
    (a) \(13\)
    (b) \(5\ \text{cm}\)
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  8. Either paper 3 marks

    The diagram shows a loaf of bread.

    crust 18 mm12 slices, each 25 mm thickcrust 18 mmDiagram NOT accurately drawn

    Find the total length of the loaf of bread.

    Give your answer in centimetres.

    Show answer
    \(33.6\ \text{cm}\)
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  9. Either paper 3 marks

    A drum holds \(6.7\) litres of paint.

    \(3\) pots of paint are filled from the drum.

    Each pot holds \(130\) millilitres of paint.

    What volume of paint is left in the drum?

    State the units of your answer.

    Show answer
    \(6.31\) litres
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  10. Either paper 4 marks
    (a)

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

    Work out the number of kilometres in \(75\) miles.

    (b)

    Work out the number of miles in \(24\) kilometres.

    Show answer
    (a) \(120\ \text{kilometres}\)
    (b) \(15\ \text{miles}\)
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discia.org Conversions and Units · sheet 1
Answers Conversions and Units · sheet 1
  1. (a) cm
    (b) mm
    (c) m
  2. 4.6 cm
  3. \(3000\)
  4. \(135\)
  5. (a) \(32\ \text{km}\)
    (b) \(5\ \text{miles}\)
  6. (a) \(35\ \text{pints}\)
    (b) \(12\ \text{litres}\)
  7. (a) \(13\)
    (b) \(5\ \text{cm}\)
  8. \(33.6\ \text{cm}\)
  9. \(6.31\) litres
  10. (a) \(120\ \text{kilometres}\)
    (b) \(15\ \text{miles}\)
discia.org Conversions and Units · sheet 1