Al Noor International SchoolMock Exam 2014/2015

Subject : MATHEMATICS (2 Hrs and 30 Mins) Paper 2Level : 11

Name : ______________________________________Date : ______________________________________

Teachers Signature __________________________A, B, C and D lie on a circle, centre O.1. SCT is the tangent at C and is parallel to OB. Angle AOB = 130, and angle BCT = 40. Angle OBC = x, angle OBA = y and angle ADC = z.[6]

a) Write down the geometrical word which completes the following statement.

ABCD is a ___________ quadrilateral.

b) Find the values of x, y and z.c) Write down the value of angle OCT

2. OPQR is a parallelogram. O is the origin. OP= p and OR= r. M is the mid-point of PQ and L is on OR such that OL : LR = 2 : 1.The line PL is extended to the point S.[10]

a) Find, in terms of p and r, in their simplest forms,

3. Vector[5]

4. [10]

5. [6]

6. A sphere has a radius of 5 cm. A cone has a radius of 8cm. The sphere and the cone have the same volume. Calculate the height of the cone. (Hint: Volume of sphere = and Volume of cone = )[5]

7. Draw the triangle with vertices at (1, 0), (1, 4), (3, 4). Transform the triangle using the matrix what transformation does represent?[5]

8. The matrices A and B are given by A = , B = . Find matrices P and Q such that [6](i) ,(ii) Q = B

9. If the determinant of the matrix is zero. Find the value of a.[4]

10. Functions f and g are defined by Find[8]a) b) c) d)

11. A truck decelerated uniformly from 20m/s to rest. It travelled 150 m.[4]a) How long did it to take to come to rest?b) What was the rate of deceleration?

12. Find the equation of the lines joining the points of (0, -3) and (4, 5)[6]Find the midpoint and length also between both points.

13. u=0, s = 4 and t = 2 in the following equations. [3]

14. If B=12 and C=13, Find A and [3]

15. Solve the simultaneous equations of .[3]

16. Factorize [5]a) b)

17. Solve by using quadratic formula.[4]

18. Shade the region defined by and [3]

19. Solve [3]

20. Write an equivalent expression in the form [4]a) b)

21.

22.

23. A rectangular photograph measures 23 cm by 19 cm, each correct to nearest centimetre.Calculate the lower bound of the perimeter and upper bound for the area.[4]

24.

25. a) If Find the values of p, q and r.[3]b) Find x when h(x) = 0.25.[2]