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Chapter 4 Practice Paper: Algebraic Expressions and Formulae — question paper

QuizQuipPractice Series
QQ/S1MATH/CH4

Secondary 1 · Lower Secondary Mathematics (G2 / G3)

Chapter 4 Practice Paper

Algebraic Expressions and Formulae

Duration: 40 minutes
Total: 30 marks
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Class:
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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 4.

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

    Simplify 8m - 3m + m.

    1. A6m
    2. B5m
    3. C6m²
    4. D12m
    ( )
  2. 2

    Expand 5(2x - 4).

    1. A10x - 4
    2. B10x - 20
    3. C7x - 9
    4. D10x + 20
    ( )
  3. 3

    In the expression 4x - 3y + 7, the coefficient of y is

    1. A-3
    2. B3
    3. C4
    4. D7
    ( )
  4. 4

    Factorise 12a + 18 completely.

    1. A2(6a + 9)
    2. B3(4a + 6)
    3. C6(2a + 3)
    4. D12(a + 1.5)
    ( )
  5. 5

    Work out the value of 3x + 2y for x = 5 and y = 4.

    1. A154
    2. B23
    3. C35
    4. D19
    ( )
  6. 6

    A sequence has terms 5, 8, 11, 14, ... Which expression gives the term in position n?

    1. A3n + 2
    2. Bn + 4
    3. C3n
    4. D5n - 2
    ( )
  7. 7

    Simplify 6k + 4 - 2k - 9.

    1. A8k - 5
    2. B4k + 13
    3. C8k - 13
    4. D4k - 5
    ( )
  8. 8

    Ali is y years old and his sister is 3 years younger. Which expression gives their total age?

    1. A2y
    2. B2y + 3
    3. Cy - 3
    4. D2y - 3
    ( )
  9. 9

    The nth term of the sequence 96, 91, 86, 81, ... is

    1. A96 - n
    2. B5n + 91
    3. C101 - 5n
    4. D91 - 5n
    ( )
  10. 10

    Using the formula P = 2(l + b) with l = 9 and b = 4, the value of P is

    1. A72
    2. B26
    3. C13
    4. D36
    ( )

Section B: Structured questions[20 marks]

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

  1. 1

    Simplify and expand each expression.

    1. (a)

      Simplify 7x + 4x - 2x.

      answer =[1]
    2. (b)

      Simplify 5a + 2b - 3a + b.

      [2]
    3. (c)

      Expand 4(3x - 5).

      [2]
  2. 2

    This question is about factorisation.

    1. (a)

      Factorise 9x + 12.

      answer =[1]
    2. (b)

      Factorise 15y - 25 completely.

      [2]
    3. (c)

      A student writes 8x + 12 = 4(2x + 12). Explain the mistake and give the correct factorisation.

      [2]
  3. 3

    A taxi ride costs F dollars, where F = 4 + 0.6d and d is the distance in kilometres.

    1. (a)

      Find the fare for a ride of 12 km.

      F =[2]
    2. (b)

      A ride costs $13. Find the distance travelled.

      [2]
    3. (c)

      State what the number 4 represents in the formula.

      [1]
  4. 4

    A sequence begins 4, 9, 14, 19, ...

    1. (a)

      Write down the next two terms.

      [1]
    2. (b)

      Find an expression for the nth term.

      [2]
    3. (c)

      Explain why 100 is not a term of this sequence.

      [2]

— End of paper —