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2018

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

Mathematics 9709/33 May/June 2018 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, 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
53
Open the question paperMark scheme

File names: 9709_s18_qp_33 ยท 9709_s18_ms_33

Grade thresholds for 9709/33 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
5347393225

Topics in this paper

Which syllabus chapters 9709/33 May/June 2018 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry436
Indices, Surds and Logs213
Complex Numbers19
Linear Law18
Integration15
Binomial14

Questions in 9709/33 May/June 2018

  1. Question 1Binomial ยท 4 marks

    Expand 4 4 โˆ’3x in ascending powers of x, up to and including the term in x2, simplifying the coe๏ฌƒcients.

  2. Question 2Indices, Surds and Logs ยท 5 marks

    Showing all necessary working, solve the equation โ€ฆ

  3. Question 3Integration ยท 5 marks

    Showing all necessary working, ๏ฌnd the value of โ€ฆ

  4. Question 4Indices, Surds and Logs ยท 8 marks

    The curve with equation y = ln โ€ฆ

  5. Question 5Trigonometry ยท 8 marks

    (i) By ๏ฌrst expanding cos2x + sin2x3, or otherwise, show that cos6x + sin6x โ€ฆ

  6. Question 6Linear Law ยท 8 marks

    (i) Express 1 4 โˆ’y2 in partial fractions. (ii) The variables x and y satisfy the di๏ฌ€erential equation xdy dx โ€ฆ

  7. Question 7Trigonometry ยท 8 marks

    Throughout this question the use of a calculator is not permitted. (i) Express cos โ€ฆ

  8. Question 8Trigonometry ยท 9 marks

    The equation of a curve is 2x3 โˆ’y3 โˆ’3xy2 = 2a3, where a is a non-zero constant. (i) Show that dy dx โ€ฆ

  9. Question 9Complex Numbers ยท 9 marks

    (a) Find the complex number z satisfying the equation 3z โˆ’iz* โ€ฆ

  10. Question 10Trigonometry ยท 11 marks

    The points A and B have position vectors โ€ฆ

Other Mathematics papers from May/June 2018

Questions students ask

Where can I get the 9709/33 May/June 2018 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s18_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 2018?
53 marks out of 75, a C needed 39.
Which topics came up in 9709/33 May/June 2018?
Mostly Trigonometry, Indices, Surds and Logs, Complex Numbers. The full list is in the table above.
Do I need an account to open 9709/33 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.