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WA2 Practice Paper: Weighted Assessment 2 — question paper

QuizQuipPractice Series
QQ/S3EM/WA2

Secondary 3 · Elementary Mathematics (G2 / G3)

WA2 Practice Paper

Weighted Assessment 2

Duration: 50 minutes
Total: 40 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.
  • Show all necessary working. Omission of essential working will result in loss of marks.
  • Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question.
  • An approved calculator may be used.
  • The number of marks is given in brackets [ ] at the end of each question or part question.

Original practice material written for the MOE Elementary Mathematics syllabus. It is not an official MOE or school examination paper. Chapters 4–8 (algebraic expressions and formulae, equations and inequalities, functions and graphs, set language and notation, matrices).

For Examiner’s Use
Section A/ 40
Total/ 40

Section A: Structured questions[40 marks]

Answer all questions in the spaces provided. Show all necessary working — omission of essential working will result in loss of marks. Give non-exact numerical answers correct to 3 significant figures, unless told otherwise.

  1. 1

    Answer all parts of this question.

    1. (a)

      Factorise 6x² − 17x + 12 completely.

      [2]
    2. (b)

      Simplify (x² − 9) ÷ (x² + 5x + 6).

      [2]
    3. (c)

      Make h the subject of the formula A = 2πrh + πr².

      [2]
  2. 2

    Solve the following equations.

    1. (a)

      Solve (2x − 1)/3 − (x − 2)/4 = 1.

      [3]
    2. (b)

      Solve the simultaneous equations 3x + 2y = 19 and y = 2x − 8.

      [3]
  3. 3

    Answer all parts of this question.

    1. (a)

      Solve the inequality 5 − 2x ≥ 3(x − 4).

      [3]
    2. (b)

      List all the integer values of n that satisfy −2 < 3n − 2 ≤ 10.

      [3]
  4. 4

    The curve y = x² − 4x + 1 is drawn for values of x from −1 to 5.

    1. (a)

      Find the value of y when x = 5.

      [1]
    2. (b)

      By completing the square, find the coordinates of the minimum point of the curve.

      [3]
    3. (c)

      The line y = 2x + k is a tangent to the curve. Find the value of k.

      [3]
  5. 5

    In a cohort of 60 students, 38 study Chinese, 27 study Malay and 9 study neither language.

    1. (a)

      Find the number of students who study both languages.

      [2]
    2. (b)

      Find the number of students who study Chinese only.

      [2]
    3. (c)

      One student is chosen at random from the cohort. Find the probability that the student studies exactly one of the two languages.

      [3]
  6. 6

    Matrices A = ( 2 −1 ) and B = ( 0 5 ), written as 2 × 2 matrices with A = [[2, −1], [3, 4]] and B = [[0, 5], [−2, 1]].

    1. (a)

      Write down 2A.

      [1]
    2. (b)

      Write down A + B.

      [1]
    3. (c)

      Calculate AB.

      [3]
    4. (d)

      Find the matrix C = A − 2B.

      [2]
    5. (e)

      Given that BA = [[15, 20], [−1, 6]], state, with a reason, whether AB = BA for these matrices.

      [1]

— End of paper —