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2012

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

Mathematics 9709/33 Oct/Nov 2012 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, Oct/Nov 2012: 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
56
Open the question paperMark scheme

File names: 9709_w12_qp_33 ยท 9709_w12_ms_33

Grade thresholds for 9709/33 Oct/Nov 2012

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
56490023

Topics in this paper

Which syllabus chapters 9709/33 Oct/Nov 2012 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation214
Trigonometry213
Complex Numbers111
Vectors110
Polynomials110
Integration18
Linear Law16
Indices, Surds and Logs13

Questions in 9709/33 Oct/Nov 2012

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

    (i) Express 24 sin ฮธ โˆ’7 cos ฮธ in the form R sin(ฮธ โˆ’ฮฑ), where โ€ฆ

  3. Question 3Differentiation ยท 6 marks

    The parametric equations of a curve are โ€ฆ

  4. Question 4Linear Law ยท 6 marks

    The variables x and y are related by the differential equation (x2 + 4)dy dx = 6xy. It is given that โ€ฆ

  5. Question 5Differentiation ยท 8 marks

    The expression f(x) is de๏ฌned by f(x) = 3xeโˆ’2x. (i) Find the exact value of โ€ฆ

  6. Question 6Trigonometry ยท 8 marks

    O x y a b The diagram shows the curve โ€ฆ

  7. Question 7Integration ยท 8 marks

    O y x The diagram shows part of the curve y = sin32x cos32x. The shaded region shown is bounded by the curve and the x-axis and its exact area is denoted by A. (i) Use the substitution u = โ€ฆ

  8. Question 8Vectors ยท 10 marks
  9. Question 9Polynomials ยท 10 marks
  10. Question 10Complex Numbers ยท 11 marks

    (a) Without using a calculator, solve the equation iw2 โ€ฆ

Other Mathematics papers from Oct/Nov 2012

Questions students ask

Where can I get the 9709/33 Oct/Nov 2012 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w12_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 Oct/Nov 2012?
56 marks out of 75.
Which topics came up in 9709/33 Oct/Nov 2012?
Mostly Differentiation, Trigonometry, Complex Numbers. The full list is in the table above.
Do I need an account to open 9709/33 Oct/Nov 2012?
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.