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2019

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

Mathematics 9709/32 Oct/Nov 2019 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 2, Oct/Nov 2019: 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
60
Open the question paperMark scheme

File names: 9709_w19_qp_32 ยท 9709_w19_ms_32

Grade thresholds for 9709/32 Oct/Nov 2019

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
6053433324

Topics in this paper

Which syllabus chapters 9709/32 Oct/Nov 2019 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry214
Vectors111
Partial Fractions110
Iteration110
Complex Numbers19
Differential Equations18
Differentiation15
Polynomials15
Indices, Surds and Logs13

Questions in 9709/32 Oct/Nov 2019

  1. Question 1Indices, Surds and Logs ยท 3 marks
  2. Question 2Differentiation ยท 5 marks
  3. Question 3Polynomials ยท 5 marks

    The polynomial x4 + 3x3 + ax + b, where a and b are constants, is denoted by px. When px is divided by โ€ฆ

  4. Question 4Trigonometry ยท 7 marks

    (i) Express รฏ6 sin x + cosx in the form R sinx + !, where โ€ฆ

  5. Question 5Trigonometry ยท 7 marks

    The equation of a curve is 2x2y โˆ’xy2 = a3, where a is a positive constant. Show that there is only one point on the curve at which the tangent is parallel to the x-axis and ๏ฌnd the y-coordinate of โ€ฆ

  6. Question 6Differential Equations ยท 8 marks

    The variables x and 1 satisfy the di๏ฌ€erential equation sin 1 21 dx โ€ฆ

  7. Question 7Complex Numbers ยท 9 marks

    (a) Find the complex number z satisfying the equation z + iz โ€ฆ

  8. Question 8Partial Fractions ยท 10 marks
  9. Question 9Iteration ยท 10 marks
  10. Question 10Vectors ยท 11 marks

Other Mathematics papers from Oct/Nov 2019

Questions students ask

Where can I get the 9709/32 Oct/Nov 2019 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w19_ms_32), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/32 Oct/Nov 2019?
60 marks out of 75, a C needed 43.
Which topics came up in 9709/32 Oct/Nov 2019?
Mostly Trigonometry, Vectors, Partial Fractions. The full list is in the table above.
Do I need an account to open 9709/32 Oct/Nov 2019?
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.