# c1 sample paper

aqa

from textbook

- Created by: javaira
- Created on: 16-12-10 17:30

First 282 words of the document:

C1 sample exam paper

. The paper is 1 hour 30 minutes long.

. Calculators maynot

Calculators may be be

used.

used.

p

1 2 p

1. Express p in the form a b 2: (4 marks)

3À 2

2. (a) Solve the inequality 5(y 2) 5 3 À 7(2 À y) (3 marks)

(b) Solve the inequality (x À 4)(x À 6) < 0 (2 marks)

3. The curve C has equation y 2x 3 À x 2 . The points A and B both lie on the

curve C having coordinates (1, 1) and (2, 12) respectively.

(a) Show that the gradient of C at B is 5 times the gradient of C at A. (5 marks)

(b) Find an equation for the tangent to C at B. (3 marks)

4. The points A(À4, À2), B(6, 4) and C(4, À4) are the vertices of triangle ABC.

Point D is the mid point of AB.

(a) Find an equation for the line passing through A and B in the form

ax by c 0, where a, b and c are integers to be found. (4 marks)

(b) Show that CD is parallel to the line with equation 10x 6y 7 0. (4 marks)

5. xm ym

xm

(y 1) m

The diagram represents the floor plan of an attic room which consists of a

square of side x m and a right-angled triangle of sides x m, y m and (y 1) m.

The perimeter of the room is 10 m.

(a) Show that 3x 2y 9. (2 marks)

The area of the floor is 5.5 m2 .

11 À 2x 2

(b) Show that y (4 marks)

x

(c) Using parts (a) and (b) find the value of x and the value of y. (5 marks)

AS Core for AQA # Pearson Education Ltd. 2004 1

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