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Rounding, Estimation & BoundsCambridge IGCSE Maths: Subtopic test

10 questions, 26 marks

Cambridge IGCSE Maths

Rounding, Estimation & Bounds

Total 26 marks

Name

Class

Date

  1. 1
    The value 47.6284 is to be rounded to different degrees of accuracy.
    (a)
    Round 47.6284 to 2 decimal places.
    [1 mark]
    • A47.62
    • B47.63
    • C47.6
    • D47.628
    (b)
    Round 47.6284 to 3 significant figures.
    [1 mark]
    • A47.6
    • B47.63
    • C48.0
    • D47
    (c)
    Round 47.6284 to 1 significant figure.
    [1 mark]
    • A40
    • B47
    • C50
    • D48

    Total for question 1: 3 marks

  2. 2
    Estimate the value of 58.7×3.920.198\frac{58.7 \times 3.92}{0.198} by rounding each number to 1 significant figure.
    (a)
    Round each number in the expression 58.7×3.920.198\frac{58.7 \times 3.92}{0.198} to 1 significant figure.
    [2 marks]
    (b)
    Use your rounded values from part (a) to estimate the value of the expression.
    [2 marks]

    Total for question 2: 4 marks

  3. 3
    A length is measured as 8.4 cm, correct to 1 decimal place. A mass is measured as 250 g, correct to the nearest 10 g.
    (a)
    Find the upper and lower bounds of the length, which is measured as 8.4 cm correct to 1 decimal place.
    [3 marks]
    (b)
    Find the upper and lower bounds of the mass, which is measured as 250 g correct to the nearest 10 g.
    [3 marks]

    Total for question 3: 6 marks

  4. 4
    A rectangular field has a length of 120 m and a width of 75 m, both measured correct to the nearest metre. A runner covers a distance of 400 m, correct to the nearest metre, in a time of 52 seconds, correct to the nearest second.
    (a)
    Find the upper bound of the perimeter of the field.
    [4 marks]
    (b)
    Find the lower bound of the area of the field.
    [4 marks]
    (c)
    Find the upper bound of the runner's average speed, giving your answer in m/s correct to 3 significant figures.
    [5 marks]

    Total for question 4: 13 marks

End of questions