# Maths C1 Papers Topics: Analytic geometry, Mathematics, Dimension, Paper, The Point, Point / Pages: 4 (776 words) / Published: Apr 13th, 2012

Paper Reference(s)

6663

Edexcel GCE
Monday 10 January 2005  Afternoon Time: 1 hour 30 minutes

Materials required for examination Mathematical Formulae (Green)

Items included with question papers Nil

Calculators may NOT be used in this examination.

Instructions to Candidates In the boxes on the answer book, write the name of the examining body (Edexcel), your centre number, candidate number, the unit title (Core Mathematics C1), the paper reference (6663), your surname, initials and signature. Information for Candidates A booklet ‘Mathematical Formulae and Statistical Tables’ is provided. Full marks may be obtained for answers to ALL questions. This paper has ten questions. The total mark for this paper is 75. Advice to Candidates You must ensure that your answers to parts of questions are clearly labelled. You must show sufficient working to make your methods clear to the Examiner. Answers without working may gain no credit.

N23490A

This publication may only be reproduced in accordance with London Qualifications copyright policy. ©2005 London Qualifications Limited.

1.

(a) Write down the value of 16 2 . (1) (b) Find the value of 16 2 . (2)
3

1

2.

(i) Given that y = 5x3 + 7x + 3, find (a)

dy , dx
(3)
d y . dx 2
2

(b)

(1)
1   (ii) Find  1  3  x  2  dx. x  

(4) 3. Given that the equation kx2 + 12x + k = 0, where k is a positive constant, has equal roots, find the value of k. (4)

4.

Solve the simultaneous equations x+y=2 x2 + 2y = 12. (6)

5.

The rth term of an arithmetic series is (2r – 5). (a) Write down the first three terms of this series. (2) (b) State the value of the common difference. (1) (c) Show that

 (2r  5) = n(n – 4). r 1

n

(3)

N23490A

2

6. y

Figure 1

O

2 P(3, –2)

4

x

Figure 1 shows a sketch of the curve with equation y = f(x). The curve crosses