1. The relation between two sets, set of number and set of perfect square are represented in the form

of ordered pair {(-3,9), (-1,1), (1,1), (2,4), (3,9),

(4,16)}. State

a) the object of 9 b) the codomain of the relation

2. Given the function, ( ) 3 1f x x and ( ) 2g x x

a) ( )gf x

b) the value of x when ( ) 2 ( 1)gf x g x

3. Given a function 2

( )1 3

g xx

. Find

a) ( 1)g

b) the value of p when 1( ) 3g p

4. The quadratic equation 2 22 3x px x p

,where p is a constant, has no real roots. Find the

value p

5. The maximum point of a quadratic function 2( )f x x bx c is (-2,5). Find the values of b

and c

6. Determine the range of values of x that satisfy

the quadratic inequalities ( 5)( 3) 24x x

7. Solving the equation 2 1 2 12 2 48x x

8. Given 4 2log log 3p q , express p in term of q

9. Given that the first three terms of a geometric

progression are 4

3 , 2 , 3

xx x . Express the sum

to infinity of the progression in term of x.

10. The third and sixth term of an arithmetic

progression are -3 and 9. Find the common

difference of the progression

11. The last term of a geometric progression

, 6 , 12 ... is 384x . Find

a) the value of x

b) the number of term in the geometric

progression

12. The variable x and y are related by the equation 2py qx x . Diagram below shows the straight

line graph obtained by plotting y

xagainst x

a) Express the equation in its linear form used

to obtain the straight line graph shown above

b) Find the value of p and q

13. Diagram below shows a sector OAB of a circle

with centre O and radius 8cm. If the ratio of the

arc length AB and radius is 4:5 Find

a) the value of in radian

b) the area of sector OAB

14. Given A(-3,2), B(-1,k) and C(5,14) are collinear.

Find

a) the ratio of AB:BC

b) the value of k

15. Diagram below shows a regular hexagon

PQRSTU. Given vectors PQ a and PU b

Find

a) RT

b) PT

ADDITIONAL MATHEMATICS PAPER 1

8cm

T S

P Q

U R

16. Given that 3

5a

and 1

bm

a) express a b in the form of i jx y

b) find the values of m if 53a b

17. Solve the equation 22 2cos 3sin 0x x for

0 180x

18. Given 5

sin13

x , for 3

2x , and

3cos

5y , for

32

2x . Find cos( )x y

19. The gradient function of a curve kx-1 where k is

a constant. Given that the gradient of the curve

at point (3,-2) is 5. Find

a) the value of k

b) the equation of the curve

20. The volume of a sphere increases at the rate of 3 -1200 cm s . Find the rate of change of the

radius r, in at the instant when r = 5 cm.

21. Given that

2

( ) 4w

f x dx and 2

[ ( ) 3] 5w

f x dx

Find the value of w

22. 5 boys and 3 girls are to be arranged in a row.

Calculate the number of arrangement if

a) no condition is imposed

b) the girls must stand side by side

23. Table below shows the composition of students

who liked Mathematics and Science. If a student

is selected at random, find the probability that

the student is

a) a boy and liked Mathematics

b) a girl or liked Science

24. Diagram below shows a normal distribution

graph of Mathematics mark obtained by a group

of students with the standard deviation of 8

marks.

If a student is selected randomly, find the

probability that the marks the student obtained is

a) more than 60

b) between 65 and 70

25. In a survey at a school, it was found that one out

of four students walked to school. If five

students are chosen at random from the school,

find the probability that

a) three of the student walked to school

b) less than two students walked to school

Student Mathematics Science

Boy 12 10

Girl 11 17

65 Mark (x)

f (x)