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2011

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

Mathematics 9709/33 May/June 2011 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, May/June 2011: 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_s11_qp_33 ยท 9709_s11_ms_33

Grade thresholds for 9709/33 May/June 2011

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
60540032

Topics in this paper

Which syllabus chapters 9709/33 May/June 2011 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry324
Differential Equations111
Differentiation110
Indices, Surds and Logs28
Complex Numbers18
Polynomials17
Iteration17

Questions in 9709/33 May/June 2011

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

    Use logarithms to solve the equation โ€ฆ

  2. Question 2Indices, Surds and Logs ยท 4 marks

    The curve y = ln x x3 has one stationary point. Find the x-coordinate of this point. โ€ฆ

  3. Question 3Trigonometry ยท 5 marks
  4. Question 4Trigonometry ยท 7 marks

    (i) Show that the equation tan(60โ—ฆ+ ฮธ) + tan(60โ—ฆโˆ’ฮธ) = k can be written in the form โ€ฆ

  5. Question 5Polynomials ยท 7 marks
  6. Question 6Iteration ยท 7 marks

    (i) By sketching a suitable pair of graphs, show that the equation cotx โ€ฆ

  7. Question 7Complex Numbers ยท 8 marks

    (i) Find the roots of the equation โ€ฆ

  8. Question 8Differentiation ยท 10 marks

    y x O M 1 2p The diagram shows the curve โ€ฆ

  9. Question 9Differential Equations ยท 11 marks

    In a chemical reaction, a compound X is formed from two compounds Y and Z. The masses in grams of X, Y and Z present at time t seconds after the start of the reaction are โ€ฆ

  10. Question 10Trigonometry ยท 12 marks

    With respect to the origin O, the lines l and m have vector equations โ€ฆ

Other Mathematics papers from May/June 2011

Questions students ask

Where can I get the 9709/33 May/June 2011 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s11_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 2011?
60 marks out of 75.
Which topics came up in 9709/33 May/June 2011?
Mostly Trigonometry, Differential Equations, Differentiation. The full list is in the table above.
Do I need an account to open 9709/33 May/June 2011?
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.