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Algebra: CAIE A‑Level Maths questions

Every CAIE A-Level Maths exam question on 2.1 Algebra, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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100 questions

  1. Q3

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 3: (a) Sketch on the same diagram the graphs of y 3 x 8 and y 5 - . x [2] = - = (b) Solve the inequality 3 x 8 1 5 - . x [4] - 5 (c) Hence determine the largest in
  2. Q7

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 7: The polynomial ( )x p is defined by p ( )x 9 x 3 6 x 2 12 x + , k = + + where k is a constant. (a) Find the quotient when ( )x p is divided by ( 3 x 2 ) and sho
  3. Q1

    Specimen · Paper 2

    The whole paper ↗
    Specimen Paper 2, question 1: (a) The polynomial 2x3 + ax2 – ax – 12, where a is a constant, is denoted by p(x). It is given that (x + 1) is a factor of p(x). Find the value of a. [2] (b) Wh
  4. Q3

    Specimen · Paper 2

    The whole paper ↗
    Specimen Paper 2, question 3: It is given that a is a positive constant. (a) (i) Sketch on a single diagram the graphs of y = 2 x − 3 a and y = 2 x 4 a . [2] + (ii) State the coordinates of
All 4 questions on Algebra, as a list
  1. June 2024, Paper 2, Q3 (8 marks): (a) Sketch on the same diagram the graphs of y 3 x 8 and y 5 - . x [2] = - = (b) Solve the inequality 3 x 8 1 5 - . x [4] - 5 (c) Hence determine the largest in
  2. June 2024, Paper 2, Q7 (9 marks): The polynomial ( )x p is defined by p ( )x 9 x 3 6 x 2 12 x + , k = + + where k is a constant. (a) Find the quotient when ( )x p is divided by ( 3 x 2 ) and sho
  3. Specimen, Paper 2, Q1 (4 marks): (a) The polynomial 2x3 + ax2 – ax – 12, where a is a constant, is denoted by p(x). It is given that (x + 1) is a factor of p(x). Find the value of a. [2] (b) Wh
  4. Specimen, Paper 2, Q3 (6 marks): It is given that a is a positive constant. (a) (i) Sketch on a single diagram the graphs of y = 2 x − 3 a and y = 2 x 4 a . [2] + (ii) State the coordinates of

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