2026

Cambridge O Level ยท 4037 ยท Paper 2

Additional Mathematics 4037/22 May/June 2026 past paper

Cambridge O Level Additional Mathematics (4037) Paper 2, variant 2, May/June 2026: the question paper and its official mark scheme, 12 questions worth 80 marks. Free to open, no account needed.

Questions
12
Marks
80

File names: 4037_s26_qp_22 ยท 4037_s26_ms_22

Topics in this paper

Which syllabus chapters 4037/22 May/June 2026 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Calculus317
Functions112
Coordinate geometry of the circle19
Series18
Vectors in two dimensions18
Quadratic functions27
Equations, inequalities and graphs17
Permutations and combinations16
Trigonometry16

Questions in 4037/22 May/June 2026

  1. Question 1Quadratic functions ยท 4 marks

    The point A is the minimum point on the curve โ€ฆ

  2. Question 2Quadratic functions ยท 3 marks

    Show that there is no real value of k for which the equation โ€ฆ

  3. Question 3Calculus ยท 6 marks
  4. Question 4Equations, inequalities and graphs ยท 7 marks

    (a) On the axes, sketch the graph of โ€ฆ

  5. Question 5Permutations and combinations ยท 6 marks

    (a) In this question, 6-digit numbers do not start with 0. Find how many 6-digit numbers have 6 different digits and are divisible by โ€ฆ

  6. Question 6Series ยท 8 marks

    In this question, a, b and c are integers. When the expansion of โ€ฆ

  7. Question 7Vectors in two dimensions ยท 8 marks

    In this question, i is a unit vector due east and j is a unit vector due north. Distances are measured in kilometres and time is measured in hours. Point P has position vector โ€ฆ

  8. Question 8Functions ยท 12 marks

    The function f is defined, for โ€ฆ

  9. Question 9Calculus ยท 7 marks

    A particle P moves in a straight line such that t seconds after passing through a fixed point O, its displacement from O, s metres, is given by โ€ฆ

  10. Question 10Trigonometry ยท 6 marks
  11. Question 11Coordinate geometry of the circle ยท 9 marks

    Solutions to this question by accurate drawing will not be accepted. A circle C1 has centre (3, 5). The point P(1, 4) lies on circle C1. A circle C2 has centre (12, 8). The line with equation โ€ฆ

  12. Question 12Calculus ยท 4 marks

    A sphere has volume cm V 3 and radius r cm. Given that r varies with time t, find V at the instant when โ€ฆ

Other Additional Mathematics papers from May/June 2026

Questions students ask

Where can I get the 4037/22 May/June 2026 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (4037_s26_ms_22), and on a wide screen it sits beside the question you are reading.
Which topics came up in 4037/22 May/June 2026?
Mostly Calculus, Functions, Coordinate geometry of the circle. The full list is in the table above.
Do I need an account to open 4037/22 May/June 2026?
No. Every paper opens for free without signing in. A free account also saves your pen marks and records your score against the grade thresholds.