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2018

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

Mathematics 9709/31 May/June 2018 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, May/June 2018: the question paper and its official mark scheme, 10 questions worth 75 marks, with the grade thresholds. Free to open, no account needed.

Questions
10
Marks
75
Grade A from
57
Open the question paperMark scheme

File names: 9709_s18_qp_31 ยท 9709_s18_ms_31

Grade thresholds for 9709/31 May/June 2018

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
5749403121

Topics in this paper

Which syllabus chapters 9709/31 May/June 2018 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry324
Polynomials215
Vectors110
Differential Equations18
Complex Numbers18
Differentiation16
Indices, Surds and Logs14

Questions in 9709/31 May/June 2018

  1. Question 1Indices, Surds and Logs ยท 4 marks

    Showing all necessary working, solve the equation lnx4 โ€ฆ

  2. Question 2Trigonometry ยท 6 marks
  3. Question 3Differentiation ยท 6 marks
  4. Question 4Polynomials ยท 5 marks

    The polynomial x4 + 2x3 + ax + b, where a and b are constants, is divisible by โ€ฆ

  5. Question 5Trigonometry ยท 8 marks
  6. Question 6Differential Equations ยท 8 marks

    In a certain chemical reaction the amount, x grams, of a substance is decreasing. The di๏ฌ€erential equation relating x and t, the time in seconds since the reaction started, is dx dt = โˆ’kxt, where k is a positive constant. โ€ฆ

  7. Question 7Complex Numbers ยท 8 marks

    (i) Showing all working and without using a calculator, solve the equation โ€ฆ

  8. Question 8Trigonometry ยท 10 marks

    The positive constant a is such that โ€ฆ

  9. Question 9Polynomials ยท 10 marks
  10. Question 10Vectors ยท 10 marks

    The point P has position vector โ€ฆ

Other Mathematics papers from May/June 2018

Questions students ask

Where can I get the 9709/31 May/June 2018 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s18_ms_31), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/31 May/June 2018?
57 marks out of 75, a C needed 40.
Which topics came up in 9709/31 May/June 2018?
Mostly Trigonometry, Polynomials, Vectors. The full list is in the table above.
Do I need an account to open 9709/31 May/June 2018?
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.