2013

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

Mathematics 9709/32 Oct/Nov 2013 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 2, Oct/Nov 2013: 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
47

File names: 9709_w13_qp_32 ยท 9709_w13_ms_32

Grade thresholds for 9709/32 Oct/Nov 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
47400020

Topics in this paper

Which syllabus chapters 9709/32 Oct/Nov 2013 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry424
Vectors111
Differential Equations111
Polynomials110
Complex Numbers110
Indices, Surds and Logs15
Inequalities and Modulus14

Questions in 9709/32 Oct/Nov 2013

  1. Question 1Trigonometry ยท 3 marks
  2. Question 2Inequalities and Modulus ยท 4 marks
  3. Question 3Indices, Surds and Logs ยท 5 marks

    Find the exact value of  1 ln x x dx.

  4. Question 4Trigonometry ยท 6 marks

    The parametric equations of a curve are โ€ฆ

  5. Question 5Trigonometry ยท 7 marks
  6. Question 6Trigonometry ยท 8 marks

    B C A O r  In the diagram, A is a point on the circumference of a circle with centre O and radius r. A circular arc with centre A meets the circumference at B and C. The angle โ€ฆ

  7. Question 7Polynomials ยท 10 marks
  8. Question 8Complex Numbers ยท 10 marks

    Throughout this question the use of a calculator is not permitted. (a) The complex numbers u and v satisfy the equations โ€ฆ

  9. Question 9Vectors ยท 11 marks

    O A B C D The diagram shows three points A, B and C whose position vectors with respect to the origin O are given by โˆ’โˆ’โ†’ OA โ€ฆ

  10. Question 10Differential Equations ยท 11 marks

    C h 60ยฐ A tank containing water is in the form of a cone with vertex C. The axis is vertical and the semi- vertical angle is 60, as shown in the diagram. At time โ€ฆ

Other Mathematics papers from Oct/Nov 2013

Questions students ask

Where can I get the 9709/32 Oct/Nov 2013 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w13_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 2013?
47 marks out of 75.
Which topics came up in 9709/32 Oct/Nov 2013?
Mostly Trigonometry, Vectors, Differential Equations. The full list is in the table above.
Do I need an account to open 9709/32 Oct/Nov 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.