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Quadratic functions: CAIE IGCSE Additional Maths questions

Every CAIE IGCSE Additional Maths exam question on 2 Quadratic functions, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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46 questions

  1. Q2

    June 2024 · Paper 2

    4 marks2 Quadratic functions
    The whole paper ↗
    June 2024 Paper 2, question 2: (a) Write 3 4 x 2 2 x in the form a b x ( c 2 ) , where a, b and c are integers. [3] + - + + (b) Hence write down the range of the function ( )x f 3 4 x 2 x 2 ,

  2. Q3

    June 2024 · Paper 2

    3 marks2 Quadratic functions
    The whole paper ↗
    June 2024 Paper 2, question 3: Use algebra to show that the equation 5 x x ( 3 ) 5 x 26 has no real solutions. [3] - = -

  3. Q4

    June 2024 · Paper 2

    10 marks5 Simultaneous equations2 Quadratic functions
    The whole paper ↗
    June 2024 Paper 2, question 4: DO NOT USE A CALCULATOR IN THIS QUESTION. (a) Find the exact distance between the two points where the curve ( 9 x 1 ) 2 4 ( y 3 ) 2 36 - + - = cuts the y-axis.

  4. Q3

    Specimen · Paper 2

    5 marks2 Quadratic functions
    The whole paper ↗
    Specimen Paper 2, question 3: Find the values of the constant k for which the equation (2k – 1)x2 + 6x + k + 1 = 0 has real roots. [5]

  5. Q12

    Specimen · Paper 2

    9 marks14 Calculus2 Quadratic functions
    The whole paper ↗
    Specimen Paper 2, question 12: y y = (9 – x)(x – 3) C(k, k – 3) y = k – 3 O A B x The diagram shows part of the curve y = (9 – x)(x – 3) and the line y = k – 3 , where k > 3 . The line throug
All 5 questions on Quadratic functions, as a list
  1. June 2024, Paper 2, Q2 (4 marks): (a) Write 3 4 x 2 2 x in the form a b x ( c 2 ) , where a, b and c are integers. [3] + - + + (b) Hence write down the range of the function ( )x f 3 4 x 2 x 2 ,
  2. June 2024, Paper 2, Q3 (3 marks): Use algebra to show that the equation 5 x x ( 3 ) 5 x 26 has no real solutions. [3] - = -
  3. June 2024, Paper 2, Q4 (10 marks): DO NOT USE A CALCULATOR IN THIS QUESTION. (a) Find the exact distance between the two points where the curve ( 9 x 1 ) 2 4 ( y 3 ) 2 36 - + - = cuts the y-axis.
  4. Specimen, Paper 2, Q3 (5 marks): Find the values of the constant k for which the equation (2k – 1)x2 + 6x + k + 1 = 0 has real roots. [5]
  5. Specimen, Paper 2, Q12 (9 marks): y y = (9 – x)(x – 3) C(k, k – 3) y = k – 3 O A B x The diagram shows part of the curve y = (9 – x)(x – 3) and the line y = k – 3 , where k > 3 . The line throug

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