Skip to content

CAIE IGCSE Additional Maths questions by topic

Every question from the CAIE IGCSE Additional Mathematics (0606) papers Cambridge International publishes, June 2024 and the specimen papers, question by question. Cambridge keeps its other papers on its School Support Hub, for schools. Filter by topic or paper, open the mark scheme under any question, and download a set as a PDF.

Find questions46
Topics Pick as many as you like. Open one to choose its sub-topics.

By area

46 questions

  1. Q1

    June 2024 · Paper 1

    5 marks
    The whole paper ↗
    June 2024 Paper 1, question 1: 1 (a) On the axes, sketch the graph of y ( x 2 2 )( x 1 )( x 5 ) , stating the intercepts with the =- + - + 5 axes. [3] y x O 1 (b) Hence solve the inequality (
  2. Q2

    June 2024 · Paper 1

    6 marks
    The whole paper ↗
    June 2024 Paper 1, question 2: DO NOT USE A CALCULATOR IN THIS QUESTION. The polynomial p is such that ( ) p x 6 x 3 35 x 2 34 x 45 . = - + + (a) Find ( )x p in the form ( 2 x 5 q ) ( ) x r ,
  3. Q3

    June 2024 · Paper 1

    9 marks
    The whole paper ↗
    June 2024 Paper 1, question 3: (a) Write 1 lg ( x 2 1 ) 2 lg ( x 1 ), where x 2 1 , as a single logarithm to base 10. Give your + - - - answer in its simplest form. [4] (b) Solve the equation
  4. Q4

    June 2024 · Paper 1

    7 marks
    The whole paper ↗
    June 2024 Paper 1, question 4: (a) The first three terms, in ascending powers of x, in the expansion of ( 3 px ) n are + 243 810 x qx 2 , where n, p and q are constants. Find the values of n,
  5. Q5

    June 2024 · Paper 1

    5 marks
    The whole paper ↗
    June 2024 Paper 1, question 5: (a) The diagram shows the graph of y a cos bx c , for 360 ° x 360 ° , where a, b and c are = + - G G constants. Find the values of a, b and c. [3] y 2 1 0 x – 3
  6. Q6

    June 2024 · Paper 1

    4 marks
    The whole paper ↗
    June 2024 Paper 1, question 6: c 4 dd e 2 3 o 6 Find d x , giving your answer in exact form. [4] - 2 x - 3 ( 3 x 5 ) 2 e 2 -
  7. Q7

    June 2024 · Paper 1

    3 marks
    The whole paper ↗
    June 2024 Paper 1, question 7: Given that 2 cot 3 x and sin y , find y in terms of x. [3] + i = i =
  8. Q8

    June 2024 · Paper 1

    5 marks
    The whole paper ↗
    June 2024 Paper 1, question 8: b l r . 8 Solve the equation 4 sin 2 2 r 1 for r Give your answers in terms of r. [5] a - = - G a G 3 2 2
  9. Q9

    June 2024 · Paper 1

    9 marks
    The whole paper ↗
    June 2024 Paper 1, question 9: (a) Solve the following simultaneous equations. e x + y e 3 x - 2 y 1 # = 2 = x y 256 [5] 11 (b) Solve the equation 10 e ( 2 x - 1 ) 11 6 e ( 1 - 2 x ) , giving
  10. Q10

    June 2024 · Paper 1

    9 marks
    The whole paper ↗
    June 2024 Paper 1, question 10: In this question, all distances are in metres and time, t, is in seconds. A particle P is at a fixed point O at time t 0 . = The velocity, v, of P is given by v
  11. Q11

    June 2024 · Paper 1

    10 marks
    The whole paper ↗
    June 2024 Paper 1, question 11: The tangent to the curve y ( 3 x 1 ) 1 at the point where x = meets the coordinate axes at the 3 = - 3 points A and B. The point with coordinates ( , ) a a lies
  12. Q12

    June 2024 · Paper 1

    8 marks
    The whole paper ↗
    June 2024 Paper 1, question 12: ln 3 x 12 (a) It is given that y for x 2 0 . = x 2 d y A B ln 3 x + Find . Give your answer in the form , where A and B are integers. [4] d x x 3 < ln 3 d x x (
  13. Q1

    June 2024 · Paper 2

    5 marks
    The whole paper ↗
    June 2024 Paper 2, question 1: (a) On the axes, sketch the graph of y 4 x 6 , showing the points where the graph meets the = - axes. [2] y O x (b) Solve the equation 4 x 6 2 x . [3] - =
  14. Q2

    June 2024 · Paper 2

    4 marks
    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 ,
  15. Q3

    June 2024 · Paper 2

    3 marks
    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] - = -
  16. Q4

    June 2024 · Paper 2

    10 marks
    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.
  17. Q5

    June 2024 · Paper 2

    8 marks
    The whole paper ↗
    June 2024 Paper 2, question 5: There are 3 women, 2 men and 4 children in a choir. (a) The choir stands in a single straight line. (i) Find the number of possible arrangements if the first pe
  18. Q6

    June 2024 · Paper 2

    5 marks
    The whole paper ↗
    June 2024 Paper 2, question 6: Variables x and y are such that y cos sin x 2 x . Use differentiation to find the approximate change in = y as x increases from 3 to 3 + , where h is small. h [
  19. Q7

    June 2024 · Paper 2

    4 marks
    The whole paper ↗
    June 2024 Paper 2, question 7: x 7 It is given that y mx 2 + , where m and n are non-zero constants. It is also given that n = + 2 3 d f 2 y p e d y o 2 y for all values of x. Find the values
  20. Q8

    June 2024 · Paper 2

    10 marks
    The whole paper ↗
    June 2024 Paper 2, question 8: (a) In an arithmetic progression, the sum of the first 30 terms is 1065 . - The sum of the next 20 terms is 2210 . - Find the first term and the common differen

Questions, mark schemes and examiner’s reports are © Cambridge University Press & Assessment, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Every CAIE IGCSE Additional Maths paper.

Rather write your answers by hand on iPad? Plumi marks them against the same mark schemes.