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2010

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

Mathematics 9709/33 May/June 2010 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, May/June 2010: 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
66
Open the question paperMark scheme

File names: 9709_s10_qp_33 ยท 9709_s10_ms_33

Grade thresholds for 9709/33 May/June 2010

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
66590032

Topics in this paper

Which syllabus chapters 9709/33 May/June 2010 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry321
Vectors112
Polynomials110
Complex Numbers19
Indices, Surds and Logs18
Differential Equations17
Inequalities and Modulus14
Linear Law14

Questions in 9709/33 May/June 2010

  1. Question 1Inequalities and Modulus ยท 4 marks
  2. Question 2Linear Law ยท 4 marks

    The variables x and y satisfy the equation y3 = Ae2x, where A is a constant. The graph of ln y against x is a straight line. (i) Find the gradient of this line. (ii) Given that the line intersects โ€ฆ

  3. Question 3Trigonometry ยท 5 marks

    Solve the equation tan(45โ—ฆโˆ’x) = 2 tan x, giving all solutions in the interval โ€ฆ

  4. Question 4Differential Equations ยท 7 marks
  5. Question 5Trigonometry ยท 8 marks

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

  6. Question 6Indices, Surds and Logs ยท 8 marks
  7. Question 7Trigonometry ยท 8 marks

    (i) Prove the identity cos 3ฮธ โ‰ก4 cos3ฮธ โˆ’3 cos ฮธ. (ii) Using this result, ๏ฌnd the exact value of โ€ฆ

  8. Question 8Complex Numbers ยท 9 marks
  9. Question 9Polynomials ยท 10 marks
  10. Question 10Vectors ยท 12 marks

    The straight line l has equation โ€ฆ

Other Mathematics papers from May/June 2010

Questions students ask

Where can I get the 9709/33 May/June 2010 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s10_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 2010?
66 marks out of 75.
Which topics came up in 9709/33 May/June 2010?
Mostly Trigonometry, Vectors, Polynomials. The full list is in the table above.
Do I need an account to open 9709/33 May/June 2010?
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.