Matematik Tambahan

Practice Series 2 2009Additional Mathematics Paper 11 hour 30 minutes1.

Based on the above information, relation from P to Q is defined by set of ordered pairs ((1,2) , (1,4), (2,6) , (2,8) ( State

(a) image of 1

(b) object for 2

(2 marks)

Answers: (a)

(b)

2.Given h (x) = 4 2x and g(x) = x + 5. Find

(a) g (2)

(b) gh-1 (x)

(4 marks)

Answer : (a)

(b) ...

3.Solve the equation Giving answers correct to four significant figures

(3 marks)

Answers :

4.Quadratic equation 3x ( x + m ) + 3m = m x + 6 has no real roots. Determine the range of values of m

( 3 marks)

Answer : ...

5.Given .Find the value of x .

( 4 marks)

Answers : ...............................

6.Solve the equation 2x ( 3 x 1 ) = 6

( 4 marks)

Answers :

7.Find the number of terms of the arithmetic progression -9, -4, 1, 6, such that its sum is 135.

( 3 marks)

Answer : ...

8.The first term and the fourth term of a geometric progression are

and

Find the common ratio of the progression.

( 3 marks)

Answer :

9.P( 2m,3n) , Q ( m, n ) and R (6 , 2) lies on a straight line. Q divides PR in the ratio 3:2 . Find the value of m and n.

(3 marks)

Answers : ...............................

10.

Diagram shows the graph of against x . Given x and y are related by equation , h and k are constants. Determine the value of (a) h

( 3 marks )

(b) k

Answers : (a) .

(b)

11.Diagram shows straight line y = 2x 4 which is the perpendicular bisector of straight line PR.

y

y = 2x - 4

Q x

Given P(0, k) and R(h, 0) , find the value of h and k

Answer : ... 12.Given vector = and = . Find the value of m

such that is parallel to . ( 2 marks)

Answers : ...............................

13.Diagram shows the vectors s , t and the unit vectors a , b . Given r = 2s - 3t . Express r in terms of a and b .

(3 marks)

s

t

Answer :

14.Given y = 14x ( 5- x ) , calculate

(a) the value of x when y is maximum.

(b)the maximum value of y

(3 marks)

Answers : (a) .

( b) ..

15. Given , find the value of k if

( 3marks)

Answers : ...

16. Diagram shows the graph of curve y = 3 x 2 and straight line y = x.

y

y = x A(2,2) y = 3x - x2

x Find the area of the shaded region

Answer : 17. A piece of wire 58.8m long is used to make a sector of a circle as shown in the diagram .

A B O

Given the length of arc AB is 16.8 cm. Find

(a)angle AOB in radian

(b)area of sector AOB in cm sector

(4 marks)

Answer : (a)...............................

(b)...............................18.Variables x and y is related by the equation y = 4x-12x + 9 . Given that x increases at the rate of unit per second. Find the rate of change in y when

x = 4. ( 4 marks)

Answer : ...............................

19.Given function f : x , x , find the value of f (-4)

(2 marks)

Answer : ...............................

20.Find the equation of the straight line passing through the point (4,-5) and perpendicular to the line 6x -2y + 1 = 0

( 2 marks)

Answer :

P = ( 1,2,3(

Q = (2,4,6,8,10 (

EMBED Equation.3

Q(4,1)

P( 2,3 )

0

x

a

b

R(h,0)

P(0,k)

4

2- 3x

2

3

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