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Cambridge Maths P1

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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level

MATHEMATICS Paper 1 Pure Mathematics 1 (P1)

9709/12
May/June 2013 1 hour 45 minutes

Additional Materials:

Answer Booklet/Paper Graph Paper List of Formulae (MF9)

*2740852128*

READ THESE INSTRUCTIONS FIRST If you have been given an Answer Booklet, follow the instructions on the front cover of the Booklet. Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use a soft pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all the questions. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question. The use of an electronic calculator is expected, where appropriate. You are reminded of the need for clear presentation in your answers. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 75. Questions carrying smaller numbers of marks are printed earlier in the paper, and questions carrying larger numbers of marks later in the paper.

This document consists of 4 printed pages.
JC13 06_9709_12/FP © UCLES 2013

[Turn over

2 1 A curve is such that dy 6 = 2 and 2, 9 is a point on the curve. Find the equation of the curve. dx x [3]

2

Find the coefficient of x2 in the expansion of (i) 2x − 1 2x
6

, 2x − 1 2x
6

[2] . [3]

(ii) 1 + x2

3

The straight line y = mx + 14 is a tangent to the curve y = constant m and the coordinates of P.

12 + 2 at the point P. Find the value of the x [5]

4

X B C

10 cm

A

O

D

The diagram shows a square ABCD

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