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

QuizQuipPractice Series
QQ/S2MATH/CH4

Secondary 2 · Lower Secondary Mathematics (G2 / G3)

Chapter 4 Practice Paper

Algebraic Fractions and Formulae

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 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 (10x³)/(2x).

    1. A5x³
    2. B5x²
    3. C8x²
    4. D20x²
    ( )
  2. 2

    Simplify x/4 + x/4.

    1. Ax/8
    2. Bx²/16
    3. Cx/2
    4. D2x
    ( )
  3. 3

    Simplify (a/6) × (3/a).

    1. A1/2
    2. B2
    3. C18
    4. Da/2
    ( )
  4. 4

    Simplify (x/7) ÷ 2.

    1. A2x/7
    2. B14x
    3. Cx/5
    4. Dx/14
    ( )
  5. 5

    Solve x/4 = 5.

    1. A9
    2. B20
    3. C4/5
    4. D1
    ( )
  6. 6

    Simplify (x² − 16)/(x + 4).

    1. Ax + 4
    2. Bx² − 4
    3. Cx − 4
    4. D16
    ( )
  7. 7

    Rearrange A = ½bh to make b the subject.

    1. Ab = 2A/h
    2. Bb = A/2h
    3. Cb = Ah/2
    4. Db = h/2A
    ( )
  8. 8

    Solve 3/x = 9.

    1. A27
    2. B3
    3. C1/9
    4. D1/3
    ( )
  9. 9

    Simplify y/3 − y/4.

    1. Ay/7
    2. By/12
    3. Cy
    4. Dy²/12
    ( )
  10. 10

    Make t the subject of v = u + at.

    1. At = (v + u)/a
    2. Bt = a(v − u)
    3. Ct = (v − u)/a
    4. Dt = v − u − a
    ( )

Section B: Structured questions[20 marks]

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

  1. 1

    This question is about combining fractions with different denominators.

    1. (a)

      Write x/3 + x/5 as a single fraction in its simplest form.

      [2]
    2. (b)

      Write 2x/3 − x/4 as a single fraction in its simplest form.

      [2]
    3. (c)

      State the common denominator you used in part (b).

      denominator =[1]
  2. 2

    Simplifying sometimes needs a factorisation first.

    1. (a)

      Simplify (x² − 25)/(x + 5).

      [2]
    2. (b)

      Simplify (x² + 7x)/(x + 7).

      [2]
    3. (c)

      Explain why (x² + 9)/(x + 3) does not simplify to x + 3.

      [1]
  3. 3

    Solve (x + 3)/4 = (2x − 1)/6.

    1. (a)

      Multiply both sides of the equation by 12, writing the new left and right sides.

      [2]
    2. (b)

      Solve the resulting equation for x.

      [2]
    3. (c)

      Substitute your answer into (x + 3)/4 = (2x − 1)/6 to confirm it.

      [1]
  4. 4

    A formula connects y and x: y = (3x − 4)/5.

    1. (a)

      Make x the subject of the formula.

      [3]
    2. (b)

      Find x when y = 7.

      x =[1]
    3. (c)

      Find y when x = 3.

      y =[1]

— End of paper —