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2019

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

Mathematics 9709/33 Oct/Nov 2019 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, Oct/Nov 2019: 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
58
Open the question paperMark scheme

File names: 9709_w19_qp_33 ยท 9709_w19_ms_33

Grade thresholds for 9709/33 Oct/Nov 2019

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
5850423324

Topics in this paper

Which syllabus chapters 9709/33 Oct/Nov 2019 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Graphs112
Integration110
Partial Fractions110
Vectors19
Trigonometry17
Iteration17
Complex Numbers17
Polynomials15
Inequalities and Modulus14
Indices, Surds and Logs14

Questions in 9709/33 Oct/Nov 2019

  1. Question 1Inequalities and Modulus ยท 4 marks
  2. Question 2Polynomials ยท 5 marks

    The polynomial 6x3 + ax2 + bx โˆ’2, where a and b are constants, is denoted by px. It is given that โ€ฆ

  3. Question 3Indices, Surds and Logs ยท 4 marks

    Showing all necessary working, solve the equation โ€ฆ

  4. Question 4Trigonometry ยท 7 marks

    (i) By ๏ฌrst expanding tan2x + x, show that the equation tan โ€ฆ

  5. Question 5Iteration ยท 7 marks

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

  6. Question 6Complex Numbers ยท 7 marks

    Throughout this question the use of a calculator is not permitted. The complex number with modulus 1 and argument 1 30 is denoted by w. (i) Express w in the form x + iy, where x and y are real โ€ฆ

  7. Question 7Vectors ยท 9 marks
  8. Question 8Integration ยท 10 marks

    x y O 1 20 The diagram shows the graph of y = sec x for โ€ฆ

  9. Question 9Partial Fractions ยท 10 marks

    The variables x and t satisfy the di๏ฌ€erential equation 5dx dt โ€ฆ

  10. Question 10Graphs ยท 12 marks

    x y O 0 M R The diagram shows the graph of y = ecos x sin3x for โ€ฆ

Other Mathematics papers from Oct/Nov 2019

Questions students ask

Where can I get the 9709/33 Oct/Nov 2019 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w19_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 2019?
58 marks out of 75, a C needed 42.
Which topics came up in 9709/33 Oct/Nov 2019?
Mostly Graphs, Integration, Partial Fractions. The full list is in the table above.
Do I need an account to open 9709/33 Oct/Nov 2019?
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.