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2016

Cambridge A Level ยท 9709 ยท Paper 1 ยท Pure Mathematics 1

Mathematics 9709/13 Oct/Nov 2016 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 3, Oct/Nov 2016: 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
54
Open the question paperMark scheme

File names: 9709_w16_qp_13 ยท 9709_w16_ms_13

Grade thresholds for 9709/13 Oct/Nov 2016

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
5445372920

Topics in this paper

Which syllabus chapters 9709/13 Oct/Nov 2016 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation328
Functions18
Sequences18
Coordinate Geometry17
Integration17
Circular Measure16
Binomial14
Trigonometry14
Quadratics13

Questions in 9709/13 Oct/Nov 2016

  1. Question 1Quadratics ยท 3 marks

    Find the set of values of k for which the curve y = kx2 โˆ’3x and the line โ€ฆ

  2. Question 2Binomial ยท 4 marks

    The coe๏ฌƒcient of x3 in the expansion of โ€ฆ

  3. Question 3Trigonometry ยท 4 marks

    Showing all necessary working, solve the equation 6 sin2 x โˆ’5 cos2 โ€ฆ

  4. Question 4Differentiation ยท 4 marks

    The function f is such that fx โ€ฆ

  5. Question 5Circular Measure ยท 6 marks
  6. Question 6Coordinate Geometry ยท 7 marks

    Three points, A, B and C, are such that B is the mid-point of AC. The coordinates of A are 2, m and the coordinates of B are n, โˆ’6, where m and n are constants. (i) Find the coordinates โ€ฆ

  7. Question 7Integration ยท 7 marks

    A B C D The diagram shows a triangular pyramid ABCD. It is given that โˆ’โˆ’โ†’ AB โ€ฆ

  8. Question 8Functions ยท 8 marks
  9. Question 9Sequences ยท 8 marks

    (a) Two convergent geometric progressions, P and Q, have the same sum to in๏ฌnity. The ๏ฌrst and second terms of P are 6 and 6r respectively. The ๏ฌrst and second terms of Q are 12 and โˆ’12r respectively. Find the โ€ฆ

  10. Question 10Differentiation ยท 12 marks

    A curve is such that dy dx = 2 axโˆ’1 2 + axโˆ’3 2, where a is a positive constant. The point โ€ฆ

  11. Question 11Differentiation ยท 12 marks

    A curve has equation y = kx โˆ’3โˆ’1 + kx โˆ’3, where k is a non-zero constant. (i) Find the x-coordinates of the stationary points in terms of k, and determine the nature of each stationary point, justifying your answers. โ€ฆ

Other Mathematics papers from Oct/Nov 2016

Questions students ask

Where can I get the 9709/13 Oct/Nov 2016 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w16_ms_13), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/13 Oct/Nov 2016?
54 marks out of 75, a C needed 37.
Which topics came up in 9709/13 Oct/Nov 2016?
Mostly Differentiation, Functions, Sequences. The full list is in the table above.
Do I need an account to open 9709/13 Oct/Nov 2016?
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.