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2013

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

Mathematics 9709/33 May/June 2013 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, May/June 2013: the question paper and its official mark scheme, 10 questions worth 71 marks, with the grade thresholds. Free to open, no account needed.

Questions
10
Marks
75
Grade A from
52
Open the question paperMark scheme

File names: 9709_s13_qp_33 ยท 9709_s13_ms_33

Grade thresholds for 9709/33 May/June 2013

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
52460027

Topics in this paper

Which syllabus chapters 9709/33 May/June 2013 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Vectors111
Differential Equations110
Differentiation110
Trigonometry28
Polynomials18
Iteration18
Complex Numbers18
Inequalities and Modulus14
Indices, Surds and Logs14

Questions in 9709/33 May/June 2013

  1. Question 1Inequalities and Modulus ยท 4 marks
  2. Question 2Indices, Surds and Logs ยท 4 marks

    It is given that lny + 1 โˆ’ln โ€ฆ

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

    (i) Express รฏ3 cos x + sin x in the form R cosx โˆ’!, where โ€ฆ

  5. Question 5Polynomials ยท 8 marks

    The polynomial 8x3 + ax2 + bx + 3, where a and b are constants, is denoted by px. It is given that โ€ฆ

  6. Question 6Iteration ยท 8 marks

    x y O a The diagram shows the curves โ€ฆ

  7. Question 7Complex Numbers ยท 8 marks

    The complex number ร is de๏ฌned by โ€ฆ

  8. Question 8Differential Equations ยท 10 marks

    The variables x and t satisfy the differential equation tdx dt โ€ฆ

  9. Question 9Differentiation ยท 10 marks
  10. Question 10Vectors ยท 11 marks

Other Mathematics papers from May/June 2013

Questions students ask

Where can I get the 9709/33 May/June 2013 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s13_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 2013?
52 marks out of 75.
Which topics came up in 9709/33 May/June 2013?
Mostly Vectors, Differential Equations, Differentiation. The full list is in the table above.
Do I need an account to open 9709/33 May/June 2013?
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.