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Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit

Unit 8

106 practice questions

Topics covered

Practice questions

1–10 of 47 · Normal

  1. Question 1

    2 marks · Normal

    Convert 3500 millimetres (mm) to metres (m).

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  2. Question 2

    3 marks · Normal

    A container has a mass of 2250 g and a volume of 3 dm³. Calculate the density of the substance in kg/m³.

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  3. Question 3

    3 marks · Normal

    A runner completes a 10 km race in 40 minutes. Another runner completes a 5 km race in 20 minutes. Discuss whether both runners had the same average speed, showing your calculations and reasoning.

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  4. Question 4

    4 marks · Normal

    A rectangle measures 1.5 metres by 80 centimetres.

    (a)

    Convert 1.5 metres to centimetres.

    [1 mark]
    (b)

    Find the area of the rectangle in cm².

    [2 marks]
    (c)

    Write your answer to part (b) in m².

    [1 mark]
    Answer and see the solution →
  5. Question 5

    4 marks · Normal

    The table shows data for three substances.

    SubstanceMass (g)Volume (cm³)Density (g/cm³)
    A5460
    B404.2
    C721.8

    Complete the missing values for density, mass, or volume for each substance.

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  6. Question 6

    2 marks · Normal

    A swimming pool holds 250 000 litres of water. Write this volume in cubic metres (m³).

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  7. Question 7

    3 marks · Normal

    Convert 0.16 square metres (m²) to square centimetres (cm²).

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  8. Question 8

    3 marks · Normal

    Explain why a bicycle tyre in contact with the ground at a smaller area produces a greater pressure, even if the weight of the bicycle and rider remains the same. Use the pressure formula in your explanation.

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  9. Question 9

    2 marks · Normal

    Write down, giving a reason, whether the following mapping represents a function.

    Mapping Table
    xy
    −24
    13
    35
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  10. Question 10

    3 marks · Normal

    Let the function f be defined by f(x) = 3x - 5 with domain {2, 4, 5, 7}.

    Find the range of f.

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