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NAMA :

TINGKATAN :

SEKOLAH MENENGAH KEBANGSAAN SIMPANG KUALA

Jalan Alor Mengkudu,

05400 Alor Setar, Kedah Darul Aman.

No. Fax & No. Tel : 04-7344732PEPERIKSAAN PERTENGAHAN TAHUN 2012

ADDITIONAL MATHEMATICS

FORM 4

PAPER 1

TWO HOURS

DO NOT OPEN THIS QUESTION PAPERUNTIL YOU ARE TOLD TO DO SO

1. This question paper consists of 26 questions.

2. Answer all questions.

3. Give only one answer for each question.

4. Write your answers clearly in the spaces provided in the question paper.

5. Show your working. It may help you to get marks.

6. If you wish to change your answer, cross out the work that you have done. Then write down the new answer.

7. The diagrams in the questions provided are not drawn to scale unless stated.

8. The marks allocated for each question and sub-part of a question are shown in brackets...

9. You may use a non-programmable scientific calculator.

10. This question paper must be handed in at the end of the examination.

This question paper consists of 14 printed pages.

Prepared by ,

Checked by ,

Certified by ,

.

. ..Answer all questions1 State the type of relation represented by the following arrow diagram.

[ 1 mark ]

interest of

Answer : ......

2

A square root of B

Based on the relation between set A and set B as shown above, state

(a) the domain of the relation,

(b) the codomain of the relation,

(c) the range of the relation,

(d) the type of the relation,

(e) the image(s) of 9 and

(f) the object of 2.

[ 6 marks ]

Answer :(a) ....

(b)

(c) ....

(d)

(e) ...

(f)...3State whether each of the following relations is a function or not.

(a)

3

5

7

9

8

(b)

a

x

b

c

y

z

d

(c) { (p, 6), (q, 3), (q, 4), (r, 5) }

[ 3 marks ]

Answer :(a) .

(b) ....

(c)

4 State the type of relation represented by the ordered pairs below.

[ 1 mark ]

{ (4, 2), (4, -2), (9, 3), 9, -3} }

Answer : ......5Given that the relation which matches set A = { 2, 3, 5 } to set B = { 4, 5, 6, 11 } is multiple. Present the above relation between the two sets in the form of

(a) arrow diagram,

(b) ordered pairs and

(c) graph.

[ 6 marks ]

Answer :

(a)

(b)

(c)

6Given that f(x) = 2x + 3, find

(a) f(2),

(b) f(-1)

[ 2 marks ]

Answer :(a) ....

(b)

7 Given that h(x) = 5x 2, find the object which maps onto itself.

[ 2 marks ]

Answer : ......

8Given that g : x ( 8 3x, find

(a) the image of 2,

(b) the object of 11.

[ 2 marks ]

Answer : (a)...

(b) ..

9Given the function , find the value of such that.

[ 3 marks ]

Answer: 10The function is defined by . Find the value of if

[ 3 marks ]

Answer:p =

11Given the function and , find

(a)

(b)

[ 3 marks ]

Answer : (a)... (b) .___________________________________________________________________________

f

12

x

0

4

-1

-8

The diagram above shows the function f : x ( , x ( . Find the values of a and b.

[ 4 marks ]

Answer :a = .

b = 13Sketch the graph for the function for -2 ( x ( 4 and state the

corresponding range.

[ 5 marks ]

f(x)

x OAnswer : The range of the function :......

14Factorise each of the following quardratic expressions completely.

(a) 64x2 - 9,

(b) x2 + 8x + 12,

[ 2 marks ]

Answer :(a) .

(b) ....

15Express the following equation in general form ax2 + bx + c = 0. Then state the values of a, b and c.

[ 4 marks ]

3x2 5 = 4x ( 1 x )

Answer : .

a = ....b =c =16Solve the following quardratic equation by completing the square. 2x2 + 6x + 3 = 0

[ 5 marks ]

Answer : .

17 Solve the following quardratic equation by using the quadratic formula.

[ 4 marks ]

4x2 + 12x = 9

Answer : x =..

18 Form the quardratic equation which roots are 3 and -6.

[ 3 marks ]

Answer :....19 Given that ( + ( = -4 and (( = , form the quardratic equation which has roots 2

And 2.

[ 3 marks ]

Answer : ....

20 Find the value of b2 4ac for the quardratic equation 3x2 = 7x + 5. Hence, determine the types of roots of the equation.

[ 4 marks ]

Answer : The quardratic equation has

.....

21 Find the values of q for which x2 8x + 10 = q ( 3 2x ) has two equal roots.

[ 4 marks ]

Answer : q =..22Find the range of values of h for the quardratic equation x2 + h = 6x which roots are different.

[ 3 marks ]

Answer : ....

23Solve the quadratic equation . Give your answer correct to three decimal places.

[ 3 marks Answer : ....___________________________________________________________________________24Diagram 1 shows the graph of the quadratic function .

Diagram 1

(a)State the value of p and of q

(b)Find the value of a

[ 3 marks ]

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

q: ....

(b) ..

25The quadratic function can be expressed in the form of

, where p and q are constants. Find the value of p and of q[ 3 marks ]

Answer : .

26The quadratic function can be expressed in the form of

, where k is a constant.

(a)Find the value of k

(b)Sketch the graph of the function f(x) on the given axes.

[ 4 marks]

Answer : (a)

(b)

music

computer

chess

reading

For Examiners Use

For Examiners Use

For Examiners Use

For Examiners Use

For Examiners Use

For Examiners Use

Zul

Devan

Chong

For Examiners Use

3

2

1

-2

-3

4

9

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