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Topic 5 Practice Paper: Estimation and bounds — question paper

QuizQuipPractice Series
QQ/IGCSE-MATHS/T5

IGCSE · Cambridge IGCSE Mathematics (Extended (Core + Extended))

Topic 5 Practice Paper

Estimation and bounds

Duration: 40 minutes
Total: 30 marks
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Class:
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Date:

READ THESE INSTRUCTIONS FIRST

  • Answer all questions.
  • Section A contains ten multiple-choice questions. Choose one answer, A, B, C or D, for each.
  • Section B contains structured questions. Write your answers in the spaces provided.
  • The number of marks is given in brackets [ ] at the end of each question or part question.
  • The total mark for this paper is 30.

Original practice material written against the Cambridge IGCSE Mathematics syllabus. It is not an official Cambridge examination paper. Topic 5: rounding to decimal places and significant figures, estimating calculations with 1-significant-figure values, upper and lower bounds of rounded measurements, and bounds of perimeters, areas, quotients and densities.

For Examiner’s Use
Section A/ 10
Section B/ 20
Total/ 30

Section A: Multiple-choice questions[10 marks]

Choose one answer for each question. Every correct answer scores one mark.

  1. 1

    Give 63.847 rounded to 1 decimal place.

    1. A63.9
    2. B63.8
    3. C63.85
    4. D64
    ( )
  2. 2

    What is 0.008714 when rounded to 2 significant figures?

    1. A0.0087
    2. B0.00871
    3. C0.008
    4. D0.009
    ( )
  3. 3

    Work out an estimate for (61.2 × 5.9) ÷ 0.48.

    1. A72
    2. B7200
    3. C360
    4. D720
    ( )
  4. 4

    A line is drawn to the nearest centimetre and labelled 9 cm. Its greatest possible length is

    1. A9.05 cm
    2. B9.4 cm
    3. C9.5 cm
    4. D9.9 cm
    ( )
  5. 5

    Round 78.354 to 3 significant figures.

    1. A78.3
    2. B78.4
    3. C78.35
    4. D78.5
    ( )
  6. 6

    Use rounding to 1 significant figure to estimate √52 × 18.3 ÷ 0.243.

    1. A700
    2. B70
    3. C7000
    4. D360
    ( )
  7. 7

    A stopwatch reads 3.7 s, to the nearest 0.1 s. The greatest possible time it recorded is

    1. A3.7 s
    2. B3.79 s
    3. C3.8 s
    4. D3.75 s
    ( )
  8. 8

    A balance reads 12.4 g, to the nearest 0.1 g. The smallest possible mass it weighed is

    1. A12.3 g
    2. B12.39 g
    3. C12.35 g
    4. D12.4 g
    ( )
  9. 9

    Give 0.006028 rounded to 1 significant figure.

    1. A0.00602
    2. B0.006
    3. C0.007
    4. D0.005
    ( )
  10. 10

    To the nearest hundred, the number 9 460 becomes

    1. A9 500
    2. B9 400
    3. C9 000
    4. D10 000
    ( )

Section B: Structured questions[20 marks]

Answer all questions in the spaces provided. Show all your working.

  1. 11

    Round and estimate.

    1. (a)

      State the value of 84.976 after rounding to 2 decimal places.

      [1]
    2. (b)

      State the value of 84.976 after rounding to 3 significant figures.

      [1]
    3. (c)

      State the value of 0.0006491 after rounding to 2 significant figures.

      [1]
    4. (d)

      Estimate (5.98 × 19.7) ÷ 0.492, showing the values you use.

      [3]
  2. 12

    A fence of length 45 m is measured correct to the nearest metre, and a gate of width 1.2 m is measured correct to the nearest centimetre.

    1. (a)

      Write down the bounds of the fence length.

      [2]
    2. (b)

      Write down the bounds of the gate width.

      [2]
    3. (c)

      Find the upper and lower bounds of the total length of fence and gate together. (Extended)

      [3]
  3. 13

    A card measures 12.6 cm by 8.4 cm, each correct to the nearest millimetre. (Extended)

    1. (a)

      Write down the bounds of the 12.6 cm side.

      [1]
    2. (b)

      Write down the bounds of the 8.4 cm side.

      [1]
    3. (c)

      Find the greatest and least possible values of the area, giving each correct to 4 significant figures.

      [3]
    4. (d)

      Explain why the upper bound of the area uses the upper bound of each side.

      [2]

— End of paper —