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2020

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

Mathematics 9709/31 May/June 2020 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, May/June 2020: the question paper and its official mark scheme, 10 questions worth 75 marks. Free to open, no account needed.

Questions
10
Marks
75
Open the question paperMark scheme

File names: 9709_s20_qp_31 ยท 9709_s20_ms_31

Topics in this paper

Which syllabus chapters 9709/31 May/June 2020 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation214
Polynomials213
Complex Numbers112
Differential Equations19
Vectors19
Iteration18
Trigonometry16
Indices, Surds and Logs14

Questions in 9709/31 May/June 2020

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

    Find the set of values of x for which โ€ฆ

  2. Question 2Polynomials ยท 5 marks

    (a) Expand 2 โˆ’3xโˆ’2 in ascending powers of x, up to and including the term in x2, simplifying the coe๏ฌƒcients. (b) State the set of values of x for which the expansion is valid.

  3. Question 3Trigonometry ยท 6 marks
  4. Question 4Differentiation ยท 6 marks

    The curve with equation y = e2xsin โ€ฆ

  5. Question 5Polynomials ยท 8 marks

    (a) Find the quotient and remainder when โ€ฆ

  6. Question 6Iteration ยท 8 marks

    T A B O r 2x rad The diagram shows a circle with centre O and radius r. The tangents to the circle at the points A and B meet at T, and angle AOB is 2x radians. The shaded โ€ฆ

  7. Question 7Differentiation ยท 8 marks

    Let fx = cosx 1 + sin x. (a) Show that โ€ฆ

  8. Question 8Differential Equations ยท 9 marks

    A certain curve is such that its gradient at a point x, y is proportional to y xx. The curve passes through the points with coordinates 1, 1 and โ€ฆ

  9. Question 9Vectors ยท 9 marks

    With respect to the origin O, the vertices of a triangle ABC have position vectors โˆ’โˆ’ยฟ OA โ€ฆ

  10. Question 10Complex Numbers ยท 12 marks

    (a) The complex number u is de๏ฌned by โ€ฆ

Other Mathematics papers from May/June 2020

Questions students ask

Where can I get the 9709/31 May/June 2020 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s20_ms_31), and on a wide screen it sits beside the question you are reading.
Which topics came up in 9709/31 May/June 2020?
Mostly Differentiation, Polynomials, Complex Numbers. The full list is in the table above.
Do I need an account to open 9709/31 May/June 2020?
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.