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2017

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

Mathematics 9709/33 May/June 2017 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, May/June 2017: the question paper and its official mark scheme, 11 questions worth 75 marks, with the grade thresholds. Free to open, no account needed.

Questions
11
Marks
75
Grade A from
57
Open the question paperMark scheme

File names: 9709_s17_qp_33 ยท 9709_s17_ms_33

Grade thresholds for 9709/33 May/June 2017

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
5751433425

Topics in this paper

Which syllabus chapters 9709/33 May/June 2017 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Integration212
Partial Fractions110
Vectors110
Complex Numbers110
Differential Equations19
Iteration17
Differentiation16
Binomial14
Indices, Surds and Logs14
Trigonometry13

Questions in 9709/33 May/June 2017

  1. Question 1Trigonometry ยท 3 marks

    Prove the identity cotx โˆ’tan x cotx + tan x ย cos 2x.

  2. Question 2Binomial ยท 4 marks

    Expand 3 + 2xโˆ’3 in ascending powers of x up to and including the term in x2, simplifying the coe๏ฌƒcients.

  3. Question 3Indices, Surds and Logs ยท 4 marks

    Using the substitution u = ex, solve the equation 4eโˆ’x = 3ex + 4. Give your answer correct to 3 signi๏ฌcant ๏ฌgures.

  4. Question 4Integration ยท 4 marks
  5. Question 5Differentiation ยท 6 marks
  6. Question 6Iteration ยท 7 marks
  7. Question 7Integration ยท 8 marks

    x y O M The diagram shows a sketch of the curve โ€ฆ

  8. Question 8Differential Equations ยท 9 marks

    In a certain chemical reaction, a compound A is formed from a compound B. The masses of A and B at time t after the start of the reaction are x and y respectively and the sum of the masses โ€ฆ

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

    The points A and B have position vectors given by โˆ’โˆ’โ†’ OA โ€ฆ

  11. Question 11Complex Numbers ยท 10 marks

    Throughout this question the use of a calculator is not permitted. (a) The complex numbers z and w satisfy the equations โ€ฆ

Other Mathematics papers from May/June 2017

Questions students ask

Where can I get the 9709/33 May/June 2017 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s17_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 2017?
57 marks out of 75, a C needed 43.
Which topics came up in 9709/33 May/June 2017?
Mostly Integration, Partial Fractions, Vectors. The full list is in the table above.
Do I need an account to open 9709/33 May/June 2017?
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.