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Chapter 2 Practice Paper: Integers, Rational Numbers and Real Numbers — question paper

QuizQuipPractice Series
QQ/S1MATH/CH2

Secondary 1 · Lower Secondary Mathematics (G2 / G3)

Chapter 2 Practice Paper

Integers, Rational Numbers and Real Numbers

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 2.

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

    Which of these numbers is the smallest?

    1. A-5
    2. B-12
    3. C0
    4. D-1
    ( )
  2. 2

    Evaluate (-3) × (-6).

    1. A18
    2. B-18
    3. C-9
    4. D9
    ( )
  3. 3

    Evaluate 15 - 22.

    1. A7
    2. B-37
    3. C37
    4. D-7
    ( )
  4. 4

    Written as a decimal, 5/8 is

    1. A0.625
    2. B0.58
    3. C0.85
    4. D0.6
    ( )
  5. 5

    2/5 + 1/3 equals

    1. A3/8
    2. B3/15
    3. C11/15
    4. D2/15
    ( )
  6. 6

    Which of these is an irrational number?

    1. A22/7
    2. B0.666... (recurring)
    3. Cthe square root of 5
    4. D0.833... (recurring)
    ( )
  7. 7

    1 1/2 - 3/4 equals

    1. A2/4
    2. B1/4
    3. C9/4
    4. D3/4
    ( )
  8. 8

    Evaluate (-4)³.

    1. A-12
    2. B64
    3. C12
    4. D-64
    ( )
  9. 9

    Which of these numbers is rational?

    1. Athe square root of 3
    2. B5/7
    3. C0.1010010001... (never repeating)
    4. Da decimal that never ends and never repeats
    ( )
  10. 10

    At dawn the temperature was 4 °C. It fell by 9 °C during the morning. What was the temperature then?

    1. A5 °C
    2. B-13 °C
    3. C-5 °C
    4. D13 °C
    ( )

Section B: Structured questions[20 marks]

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

  1. 1

    These five numbers are to be placed on a number line: -2.5, 3/4, -1, 0.6, 2

    1. (a)

      Arrange the five numbers in ascending order.

      [2]
    2. (b)

      State the largest number in the list.

      largest =[1]
    3. (c)

      State which of the five numbers are integers.

      [1]
    4. (d)

      Find the number exactly halfway between -2.5 and 0.6.

      midpoint =[1]
  2. 2

    Work out each of the following, giving fractions in their simplest form.

    1. (a)

      3/4 + 5/6

      [2]
    2. (b)

      7/8 × 4/21

      [2]
    3. (c)

      2 1/2 ÷ 5/8

      answer =[1]
  3. 3

    This question is about negative numbers.

    1. (a)

      Evaluate (-7) + 15.

      answer =[1]
    2. (b)

      Evaluate (-6) × (-3) - 20.

      [2]
    3. (c)

      At midnight a freezer room is at -3 °C. By noon the temperature has risen by 8 °C, and by midnight again it has fallen by 12 °C. Find the temperature at the second midnight.

      [2]
  4. 4

    This question is about rational and irrational numbers.

    1. (a)

      Explain why 0.363636... (repeating in blocks of 36) is a rational number.

      [2]
    2. (b)

      Explain why every integer is a rational number.

      [2]
    3. (c)

      Give one example of an irrational number between 2 and 3.

      [1]

— End of paper —