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Chapter 3 Practice Paper: Approximation and Estimation — question paper

QuizQuipPractice Series
QQ/S1MATH/CH3

Secondary 1 · Lower Secondary Mathematics (G2 / G3)

Chapter 3 Practice Paper

Approximation and Estimation

Duration: 40 minutes
Total: 30 marks
Name:
Class:
Register No.:
Date:

READ THESE INSTRUCTIONS FIRST

  • Write your name, class and register number in the spaces at the top of this page.
  • Answer all questions.
  • Section A: write the letter (A, B, C or D) of the correct answer in the brackets provided.
  • Section B: write your answers in the spaces provided.
  • Show all working. Marks may be awarded for correct working even if the final answer is wrong.
  • Give units with your answers where appropriate.
  • The number of marks is given in brackets [ ] at the end of each question or part question.

Original practice material written for the MOE Lower Secondary Mathematics syllabus. It is not an official MOE or school examination paper. Chapter 3.

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

Section A: Multiple-choice questions[10 marks]

Answer all questions. For each question, write the letter (A, B, C or D) of the correct answer in the brackets provided.

  1. 1

    27.463 rounded to 1 decimal place is

    1. A27.4
    2. B27.46
    3. C27.5
    4. D27.0
    ( )
  2. 2

    3 842 rounded to 2 significant figures is

    1. A3 800
    2. B3 900
    3. C3 840
    4. D4 000
    ( )
  3. 3

    0.0713 rounded to 1 significant figure is

    1. A0.1
    2. B0.07
    3. C0.071
    4. D0.070
    ( )
  4. 4

    99.5 rounded to the nearest whole number is

    1. A98
    2. B99
    3. C100.0
    4. D100
    ( )
  5. 5

    Estimate the value of 41.3 × 5.9 by rounding each number to 1 significant figure.

    1. A20
    2. B240
    3. C45
    4. D2000
    ( )
  6. 6

    7.862 rounded to 1 decimal place is

    1. A7.9
    2. B7.8
    3. C8.0
    4. D7.86
    ( )
  7. 7

    19 999 rounded to 3 significant figures is

    1. A19 900
    2. B19 000
    3. C20 100
    4. D20 000
    ( )
  8. 8

    A number rounded to 2 significant figures is 340. Which of these could be the actual number?

    1. A334
    2. B345
    3. C344
    4. D349.6
    ( )
  9. 9

    Use rounding to 1 significant figure to estimate 79 ÷ 1.9.

    1. A4
    2. B40
    3. C39.5
    4. D400
    ( )
  10. 10

    145 673 rounded to 1 significant figure is

    1. A100 000
    2. B140 000
    3. C150 000
    4. D146 000
    ( )

Section B: Structured questions[20 marks]

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

  1. 1

    Use the number 2.3618 for this question.

    1. (a)

      Round 2.3618 to 2 decimal places.

      answer =[1]
    2. (b)

      Round 2.3618 to 3 significant figures.

      answer =[1]
    3. (c)

      Round 45 890 to 2 significant figures.

      answer =[1]
    4. (d)

      Explain why 2.3618 to the nearest whole number is 2 and not 3.

      [2]
  2. 2

    Estimate each calculation by rounding every number to 1 significant figure.

    1. (a)

      48.7 × 21.4

      [2]
    2. (b)

      (597 × 9.1) ÷ 31

      [3]
  3. 3

    A factory packs 4 870 pens into boxes of 24 pens each.

    1. (a)

      Estimate the number of boxes needed.

      estimate =[2]
    2. (b)

      The exact calculation gives 202.9... Find the number of boxes the factory actually needs, and explain why it is not 202.

      [3]
  4. 4

    A bag of rice is labelled 12.6 kg, correct to 1 decimal place.

    1. (a)

      Could the actual mass be 12.64 kg? Give a reason.

      [1]
    2. (b)

      Could the actual mass be 12.71 kg? Give a reason.

      [1]
    3. (c)

      Write down the smallest and largest values the actual mass could take.

      [2]
    4. (d)

      Another bag has an actual mass of exactly 12.55 kg. State its mass to 1 decimal place.

      answer =[1]

— End of paper —