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2015

Cambridge A Level · 9709 · Paper 3 · Pure Mathematics 3

Mathematics 9709/33 May/June 2015 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, May/June 2015: the question paper and its official mark scheme, 10 questions worth 72 marks, with the grade thresholds. Free to open, no account needed.

Questions
10
Marks
75
Grade A from
61
Open the question paperMark scheme

File names: 9709_s15_qp_33 · 9709_s15_ms_33

Grade thresholds for 9709/33 May/June 2015

The minimum raw marks Cambridge set for each grade on this component (out of 75). Thresholds change every session and variant, so always compare your score with the paper you actually sat.

ABCDE
6155473930

Topics in this paper

Which syllabus chapters 9709/33 May/June 2015 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry211
Vectors110
Partial Fractions110
Iteration19
Differential Equations19
Complex Numbers19
Differentiation16
Indices, Surds and Logs14
Inequalities and Modulus14

Questions in 9709/33 May/June 2015

  1. Question 1Indices, Surds and Logs · 4 marks
  2. Question 2Inequalities and Modulus · 4 marks
  3. Question 3Trigonometry · 6 marks

    Solve the equation cot 2x + cotx = 3 for …

  4. Question 4Differentiation · 6 marks
  5. Question 5Trigonometry · 5 marks

    The parametric equations of a curve are …

  6. Question 6Iteration · 9 marks
  7. Question 7Differential Equations · 9 marks

    The number of micro-organisms in a population at time t is denoted by M. At any time the variation in M is assumed to satisfy the differential equation dM dt = kïM cos0.02t, where k is a constant and M …

  8. Question 8Complex Numbers · 9 marks

    The complex number 1 −i is denoted by u. (i) Showing your working and without using a calculator, express i u in the form x + iy, where x and y are real. (ii) On an Argand diagram, sketch the …

  9. Question 9Vectors · 10 marks
  10. Question 10Partial Fractions · 10 marks

Other Mathematics papers from May/June 2015

Questions students ask

Where can I get the 9709/33 May/June 2015 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s15_ms_33), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/33 May/June 2015?
61 marks out of 75, a C needed 47.
Which topics came up in 9709/33 May/June 2015?
Mostly Trigonometry, Vectors, Partial Fractions. The full list is in the table above.
Do I need an account to open 9709/33 May/June 2015?
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.