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2011

Cambridge O Level · 4037 · Paper 1

Additional Mathematics 4037/12 May/June 2011 past paper

Cambridge O Level Additional Mathematics (4037) Paper 1, variant 2, May/June 2011: the question paper and its official mark scheme, 11 questions worth 84 marks. Free to open, no account needed.

Questions
11
Marks
84
Open the question paperMark scheme

File names: 4037_s11_qp_12 · 4037_s11_ms_12

Topics in this paper

Which syllabus chapters 4037/12 May/June 2011 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Calculus120
Trigonometry217
Permutations and combinations17
Functions17
Circular measure17
Vectors in two dimensions17
Factors of polynomials16
Straight-line graphs16
Series14
Quadratic functions13

Questions in 4037/12 May/June 2011

  1. Question 1Quadratic functions · 3 marks

    For Examiner’s Use 1 Find the value of k for which the x-axis is a tangent to the curve …

  2. Question 2Series · 4 marks

    For Examiner’s Use 2 The coefficient of x3 in the expansion of (2 + ax)5 is 10 times the coefficient of x2 in the expansion of 1 + ax …

  3. Question 3Trigonometry · 5 marks
  4. Question 5Factors of polynomials · 6 marks

    For Examiner’s Use 5 (i) Show that …

  5. Question 6Straight-line graphs · 6 marks

    For Examiner’s Use 6 The figure shows the graph of a straight line with 1g y plotted against x. The straight line passes through the points A (5,3) and …

  6. Question 7Permutations and combinations · 7 marks

    For Examiner’s Use 7 A team of 6 members is to be selected from 6 women and 8 men. (i) Find the number of different teams that can be selected. (ii) Find the number of different teams that consist of …

  7. Question 8Functions · 7 marks

    For Examiner’s Use 8 (i) Sketch the curve …

  8. Question 9Circular measure · 7 marks

    For Examiner’s Use 9 The figure shows a circle, centre O, radius r cm. The length of the arc AB of the circle is 9π cm. Angle AOB is θ radians and is 3 times angle OBA. θ rad …

  9. Question 10Vectors in two dimensions · 7 marks

    For Examiner’s Use 10 Relative to an origin O, points A and B have position vectors …

  10. Question 11Trigonometry · 12 marks

    For Examiner’s Use 11 Solve (i) 2cot2 x – 5cosec …

  11. Question 12Calculus · 20 marks

    For Examiner’s Use 12 Answer only one of the following two alternatives. EITHER The tangent to the curve …

Other Additional Mathematics papers from May/June 2011

Questions students ask

Where can I get the 4037/12 May/June 2011 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (4037_s11_ms_12), and on a wide screen it sits beside the question you are reading.
Which topics came up in 4037/12 May/June 2011?
Mostly Calculus, Trigonometry, Permutations and combinations. The full list is in the table above.
Do I need an account to open 4037/12 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.