16
For Examiner’s use SULIT 9 3472/1 Answer all questions. 1 Diagram 1 shows the relation between set X and set Y. d e f g · · · · a b c Set X Set Y DIAGRAM 1 State (a) the type of the relation , (b) the object for b. [ 2 marks ] Answer : (a) ……………………………… (b) …………………………………. 1 2 2 Given the function g:x , x ≠ k , find (a) the value of k , (b) element x which maps on to itself. [ 3 marks] [ Lihat Sebelah 2 3

Negeri Sembilan 2005 Paper 1.doc

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SULIT 9 34721

Answer all questions

1 Diagram 1 shows the relation between set X and set Y

d e f g

a

b

c

Set X

Set Y

DIAGRAM 1 State

(a) the type of the relation

(b) the object for b [ 2 marks ]

Answer (a) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip (b) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

Answer (a) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

(b) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

1

2

2 Given the function gx rarr x ne k find

(a) the value of k

(b) element x which maps on to itself [ 3 marks]

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

2

3

ForExaminerrsquos

use

SULIT 11 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

3 The quadratic equation 2x2 ndash 4px + q = 0 has two equal roots Express q in terms of p [ 2 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

3

2

4 Given α and β ialah are the roots of the quadratic equation 2x2 + 4x + 5 = 0

Form the quadratic equation if the roots are and [ 4 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

4

4

ForExaminerrsquos

use

SULIT 13 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

5 Given 3y ndash 1 = 2x and 6y gt 5x - 1 Find the range of value of x [ 2 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

5

2

6 Given f(x) = 2x2 + 5x ndash 12 Find the range of value of x for which f(x) is positive

[ 3 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

6

3

ForExaminerrsquos

use

SULIT 15 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

7 Solve the equation 2x 8x = 45x-3 [ 3 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

7

3

8 Solve the equation 3log x 2 - 2log x 5 - log x 4 = 3 Give your answer correct to four significant figures [ 4 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

8

4

ForExaminerrsquos

use

SULIT 17 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

9 In an arithmetic progression the nth-term is 5n ndash 8 find the sum of the terms from the fifth term to the eighth term [ 4 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

9

4

10 In a geometric progression the third term is more than the second term by 6 and the second term is more than the first term by 9 Calculate

(a) the common ratio

(b) the sum to infinity of the geometric progression [ 4 marks]

Answer (a) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

(b) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

10

4

ForExaminerrsquos

use

SULIT 19 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

11 Solve the equation 5 sin x = -2 kos x 0deg le θ le 360deg [ 2 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

11

2

12 Given sin A = kos B = A and B are obtuse angles

Find the value

(a) sin 2A (b) kos (A B) [ 4 marks]

Answer (a) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

(b) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

12

4

ForExaminerrsquos

use

SULIT 21 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

13 Diagram 2 shows a triangle PQR with = 2x and = 3y where S is a point

between P and R

P

Q

R

S

DIAGRAM 2

If PS PR = 2 3 find [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

13

3

14 Diagram 3 shows positional vector of P in a Cartesian plane

P ( 6 4 )

p

O

y

x

Given = 3i + ( m ndash 1 ) j and = k Find the value of m [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

14

3

DIAGRAM 3

ForExaminerrsquos

use

SULIT 23 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

15 Diagram shows a graph

y

1 against x 2

Express y in terms of x [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

( 4 5 )

3

y

1

x 2

15

3

16 Point P moves in a circle with centre A ( 2 - 3 ) and diameter 4 units

Find the equation of locus P

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

16

3

DIAGRAM 4

ForExaminerrsquos

use

SULIT 25 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

17 Given that y = Find hence find the approximate value of

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

17

4

18 Find f rdquo (x) of function f(x) = ( x 2 + 3 ) 3 [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

18

4

ForExaminerrsquos

use

SULIT 27 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

19 If = 4 find the value of k

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

19

3

20 Given that the rate of distance s against time t is 4t + 3 If s = 3

when t = 1 express s in terms of t

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

20

4

ForExaminerrsquos

use

SULIT 29 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

21 Diagram shows a sector POQ with centre O and a triangle POS

O S Q

P

Ө

If OP = 5 cm and SQ = 2 cm find the area of the shaded part [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

21

4

22 By using all letters from the word RAJIN find the number of possible

ways that can be formed if the vocals are side by side [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

22

3

DIAGRAM 6

ForExaminerrsquos

use

SULIT 31 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

23 A committee wants to select 5 participants from two schools to participate in a

quiz competition If school A has 6 qualified participants and school B has 8

qualified participants find how many ways the number of participants can be

selected if at least half of participants from school B are selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

23

3

24 Diagram shows a standard normal distribution graph If p ( - a lt z lt a ) = 07698 find the value of a [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

f(z)

- a a 0

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

24

3

ForExaminerrsquos

use

SULIT 33 34721

34721 copy 2005 Hakmilik PKPSM SULIT

25 20 of the SPM excellent students will be selected to IPTA If 10

excellent students attended the interview find the probability 3 of

the students will be selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

END OF QUESTION PAPER

3

25

ForExaminerrsquos

use

SULIT 11 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

3 The quadratic equation 2x2 ndash 4px + q = 0 has two equal roots Express q in terms of p [ 2 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

3

2

4 Given α and β ialah are the roots of the quadratic equation 2x2 + 4x + 5 = 0

Form the quadratic equation if the roots are and [ 4 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

4

4

ForExaminerrsquos

use

SULIT 13 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

5 Given 3y ndash 1 = 2x and 6y gt 5x - 1 Find the range of value of x [ 2 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

5

2

6 Given f(x) = 2x2 + 5x ndash 12 Find the range of value of x for which f(x) is positive

[ 3 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

6

3

ForExaminerrsquos

use

SULIT 15 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

7 Solve the equation 2x 8x = 45x-3 [ 3 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

7

3

8 Solve the equation 3log x 2 - 2log x 5 - log x 4 = 3 Give your answer correct to four significant figures [ 4 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

8

4

ForExaminerrsquos

use

SULIT 17 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

9 In an arithmetic progression the nth-term is 5n ndash 8 find the sum of the terms from the fifth term to the eighth term [ 4 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

9

4

10 In a geometric progression the third term is more than the second term by 6 and the second term is more than the first term by 9 Calculate

(a) the common ratio

(b) the sum to infinity of the geometric progression [ 4 marks]

Answer (a) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

(b) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

10

4

ForExaminerrsquos

use

SULIT 19 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

11 Solve the equation 5 sin x = -2 kos x 0deg le θ le 360deg [ 2 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

11

2

12 Given sin A = kos B = A and B are obtuse angles

Find the value

(a) sin 2A (b) kos (A B) [ 4 marks]

Answer (a) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

(b) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

12

4

ForExaminerrsquos

use

SULIT 21 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

13 Diagram 2 shows a triangle PQR with = 2x and = 3y where S is a point

between P and R

P

Q

R

S

DIAGRAM 2

If PS PR = 2 3 find [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

13

3

14 Diagram 3 shows positional vector of P in a Cartesian plane

P ( 6 4 )

p

O

y

x

Given = 3i + ( m ndash 1 ) j and = k Find the value of m [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

14

3

DIAGRAM 3

ForExaminerrsquos

use

SULIT 23 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

15 Diagram shows a graph

y

1 against x 2

Express y in terms of x [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

( 4 5 )

3

y

1

x 2

15

3

16 Point P moves in a circle with centre A ( 2 - 3 ) and diameter 4 units

Find the equation of locus P

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

16

3

DIAGRAM 4

ForExaminerrsquos

use

SULIT 25 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

17 Given that y = Find hence find the approximate value of

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

17

4

18 Find f rdquo (x) of function f(x) = ( x 2 + 3 ) 3 [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

18

4

ForExaminerrsquos

use

SULIT 27 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

19 If = 4 find the value of k

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

19

3

20 Given that the rate of distance s against time t is 4t + 3 If s = 3

when t = 1 express s in terms of t

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

20

4

ForExaminerrsquos

use

SULIT 29 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

21 Diagram shows a sector POQ with centre O and a triangle POS

O S Q

P

Ө

If OP = 5 cm and SQ = 2 cm find the area of the shaded part [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

21

4

22 By using all letters from the word RAJIN find the number of possible

ways that can be formed if the vocals are side by side [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

22

3

DIAGRAM 6

ForExaminerrsquos

use

SULIT 31 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

23 A committee wants to select 5 participants from two schools to participate in a

quiz competition If school A has 6 qualified participants and school B has 8

qualified participants find how many ways the number of participants can be

selected if at least half of participants from school B are selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

23

3

24 Diagram shows a standard normal distribution graph If p ( - a lt z lt a ) = 07698 find the value of a [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

f(z)

- a a 0

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

24

3

ForExaminerrsquos

use

SULIT 33 34721

34721 copy 2005 Hakmilik PKPSM SULIT

25 20 of the SPM excellent students will be selected to IPTA If 10

excellent students attended the interview find the probability 3 of

the students will be selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

END OF QUESTION PAPER

3

25

ForExaminerrsquos

use

SULIT 13 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

5 Given 3y ndash 1 = 2x and 6y gt 5x - 1 Find the range of value of x [ 2 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

5

2

6 Given f(x) = 2x2 + 5x ndash 12 Find the range of value of x for which f(x) is positive

[ 3 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

6

3

ForExaminerrsquos

use

SULIT 15 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

7 Solve the equation 2x 8x = 45x-3 [ 3 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

7

3

8 Solve the equation 3log x 2 - 2log x 5 - log x 4 = 3 Give your answer correct to four significant figures [ 4 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

8

4

ForExaminerrsquos

use

SULIT 17 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

9 In an arithmetic progression the nth-term is 5n ndash 8 find the sum of the terms from the fifth term to the eighth term [ 4 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

9

4

10 In a geometric progression the third term is more than the second term by 6 and the second term is more than the first term by 9 Calculate

(a) the common ratio

(b) the sum to infinity of the geometric progression [ 4 marks]

Answer (a) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

(b) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

10

4

ForExaminerrsquos

use

SULIT 19 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

11 Solve the equation 5 sin x = -2 kos x 0deg le θ le 360deg [ 2 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

11

2

12 Given sin A = kos B = A and B are obtuse angles

Find the value

(a) sin 2A (b) kos (A B) [ 4 marks]

Answer (a) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

(b) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

12

4

ForExaminerrsquos

use

SULIT 21 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

13 Diagram 2 shows a triangle PQR with = 2x and = 3y where S is a point

between P and R

P

Q

R

S

DIAGRAM 2

If PS PR = 2 3 find [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

13

3

14 Diagram 3 shows positional vector of P in a Cartesian plane

P ( 6 4 )

p

O

y

x

Given = 3i + ( m ndash 1 ) j and = k Find the value of m [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

14

3

DIAGRAM 3

ForExaminerrsquos

use

SULIT 23 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

15 Diagram shows a graph

y

1 against x 2

Express y in terms of x [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

( 4 5 )

3

y

1

x 2

15

3

16 Point P moves in a circle with centre A ( 2 - 3 ) and diameter 4 units

Find the equation of locus P

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

16

3

DIAGRAM 4

ForExaminerrsquos

use

SULIT 25 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

17 Given that y = Find hence find the approximate value of

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

17

4

18 Find f rdquo (x) of function f(x) = ( x 2 + 3 ) 3 [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

18

4

ForExaminerrsquos

use

SULIT 27 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

19 If = 4 find the value of k

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

19

3

20 Given that the rate of distance s against time t is 4t + 3 If s = 3

when t = 1 express s in terms of t

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

20

4

ForExaminerrsquos

use

SULIT 29 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

21 Diagram shows a sector POQ with centre O and a triangle POS

O S Q

P

Ө

If OP = 5 cm and SQ = 2 cm find the area of the shaded part [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

21

4

22 By using all letters from the word RAJIN find the number of possible

ways that can be formed if the vocals are side by side [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

22

3

DIAGRAM 6

ForExaminerrsquos

use

SULIT 31 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

23 A committee wants to select 5 participants from two schools to participate in a

quiz competition If school A has 6 qualified participants and school B has 8

qualified participants find how many ways the number of participants can be

selected if at least half of participants from school B are selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

23

3

24 Diagram shows a standard normal distribution graph If p ( - a lt z lt a ) = 07698 find the value of a [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

f(z)

- a a 0

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

24

3

ForExaminerrsquos

use

SULIT 33 34721

34721 copy 2005 Hakmilik PKPSM SULIT

25 20 of the SPM excellent students will be selected to IPTA If 10

excellent students attended the interview find the probability 3 of

the students will be selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

END OF QUESTION PAPER

3

25

ForExaminerrsquos

use

SULIT 15 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

7 Solve the equation 2x 8x = 45x-3 [ 3 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

7

3

8 Solve the equation 3log x 2 - 2log x 5 - log x 4 = 3 Give your answer correct to four significant figures [ 4 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

8

4

ForExaminerrsquos

use

SULIT 17 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

9 In an arithmetic progression the nth-term is 5n ndash 8 find the sum of the terms from the fifth term to the eighth term [ 4 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

9

4

10 In a geometric progression the third term is more than the second term by 6 and the second term is more than the first term by 9 Calculate

(a) the common ratio

(b) the sum to infinity of the geometric progression [ 4 marks]

Answer (a) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

(b) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

10

4

ForExaminerrsquos

use

SULIT 19 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

11 Solve the equation 5 sin x = -2 kos x 0deg le θ le 360deg [ 2 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

11

2

12 Given sin A = kos B = A and B are obtuse angles

Find the value

(a) sin 2A (b) kos (A B) [ 4 marks]

Answer (a) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

(b) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

12

4

ForExaminerrsquos

use

SULIT 21 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

13 Diagram 2 shows a triangle PQR with = 2x and = 3y where S is a point

between P and R

P

Q

R

S

DIAGRAM 2

If PS PR = 2 3 find [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

13

3

14 Diagram 3 shows positional vector of P in a Cartesian plane

P ( 6 4 )

p

O

y

x

Given = 3i + ( m ndash 1 ) j and = k Find the value of m [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

14

3

DIAGRAM 3

ForExaminerrsquos

use

SULIT 23 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

15 Diagram shows a graph

y

1 against x 2

Express y in terms of x [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

( 4 5 )

3

y

1

x 2

15

3

16 Point P moves in a circle with centre A ( 2 - 3 ) and diameter 4 units

Find the equation of locus P

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

16

3

DIAGRAM 4

ForExaminerrsquos

use

SULIT 25 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

17 Given that y = Find hence find the approximate value of

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

17

4

18 Find f rdquo (x) of function f(x) = ( x 2 + 3 ) 3 [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

18

4

ForExaminerrsquos

use

SULIT 27 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

19 If = 4 find the value of k

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

19

3

20 Given that the rate of distance s against time t is 4t + 3 If s = 3

when t = 1 express s in terms of t

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

20

4

ForExaminerrsquos

use

SULIT 29 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

21 Diagram shows a sector POQ with centre O and a triangle POS

O S Q

P

Ө

If OP = 5 cm and SQ = 2 cm find the area of the shaded part [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

21

4

22 By using all letters from the word RAJIN find the number of possible

ways that can be formed if the vocals are side by side [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

22

3

DIAGRAM 6

ForExaminerrsquos

use

SULIT 31 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

23 A committee wants to select 5 participants from two schools to participate in a

quiz competition If school A has 6 qualified participants and school B has 8

qualified participants find how many ways the number of participants can be

selected if at least half of participants from school B are selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

23

3

24 Diagram shows a standard normal distribution graph If p ( - a lt z lt a ) = 07698 find the value of a [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

f(z)

- a a 0

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

24

3

ForExaminerrsquos

use

SULIT 33 34721

34721 copy 2005 Hakmilik PKPSM SULIT

25 20 of the SPM excellent students will be selected to IPTA If 10

excellent students attended the interview find the probability 3 of

the students will be selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

END OF QUESTION PAPER

3

25

ForExaminerrsquos

use

SULIT 17 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

9 In an arithmetic progression the nth-term is 5n ndash 8 find the sum of the terms from the fifth term to the eighth term [ 4 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

9

4

10 In a geometric progression the third term is more than the second term by 6 and the second term is more than the first term by 9 Calculate

(a) the common ratio

(b) the sum to infinity of the geometric progression [ 4 marks]

Answer (a) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

(b) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

10

4

ForExaminerrsquos

use

SULIT 19 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

11 Solve the equation 5 sin x = -2 kos x 0deg le θ le 360deg [ 2 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

11

2

12 Given sin A = kos B = A and B are obtuse angles

Find the value

(a) sin 2A (b) kos (A B) [ 4 marks]

Answer (a) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

(b) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

12

4

ForExaminerrsquos

use

SULIT 21 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

13 Diagram 2 shows a triangle PQR with = 2x and = 3y where S is a point

between P and R

P

Q

R

S

DIAGRAM 2

If PS PR = 2 3 find [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

13

3

14 Diagram 3 shows positional vector of P in a Cartesian plane

P ( 6 4 )

p

O

y

x

Given = 3i + ( m ndash 1 ) j and = k Find the value of m [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

14

3

DIAGRAM 3

ForExaminerrsquos

use

SULIT 23 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

15 Diagram shows a graph

y

1 against x 2

Express y in terms of x [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

( 4 5 )

3

y

1

x 2

15

3

16 Point P moves in a circle with centre A ( 2 - 3 ) and diameter 4 units

Find the equation of locus P

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

16

3

DIAGRAM 4

ForExaminerrsquos

use

SULIT 25 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

17 Given that y = Find hence find the approximate value of

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

17

4

18 Find f rdquo (x) of function f(x) = ( x 2 + 3 ) 3 [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

18

4

ForExaminerrsquos

use

SULIT 27 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

19 If = 4 find the value of k

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

19

3

20 Given that the rate of distance s against time t is 4t + 3 If s = 3

when t = 1 express s in terms of t

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

20

4

ForExaminerrsquos

use

SULIT 29 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

21 Diagram shows a sector POQ with centre O and a triangle POS

O S Q

P

Ө

If OP = 5 cm and SQ = 2 cm find the area of the shaded part [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

21

4

22 By using all letters from the word RAJIN find the number of possible

ways that can be formed if the vocals are side by side [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

22

3

DIAGRAM 6

ForExaminerrsquos

use

SULIT 31 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

23 A committee wants to select 5 participants from two schools to participate in a

quiz competition If school A has 6 qualified participants and school B has 8

qualified participants find how many ways the number of participants can be

selected if at least half of participants from school B are selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

23

3

24 Diagram shows a standard normal distribution graph If p ( - a lt z lt a ) = 07698 find the value of a [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

f(z)

- a a 0

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

24

3

ForExaminerrsquos

use

SULIT 33 34721

34721 copy 2005 Hakmilik PKPSM SULIT

25 20 of the SPM excellent students will be selected to IPTA If 10

excellent students attended the interview find the probability 3 of

the students will be selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

END OF QUESTION PAPER

3

25

ForExaminerrsquos

use

SULIT 19 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

11 Solve the equation 5 sin x = -2 kos x 0deg le θ le 360deg [ 2 marks]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

11

2

12 Given sin A = kos B = A and B are obtuse angles

Find the value

(a) sin 2A (b) kos (A B) [ 4 marks]

Answer (a) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

(b) helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

12

4

ForExaminerrsquos

use

SULIT 21 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

13 Diagram 2 shows a triangle PQR with = 2x and = 3y where S is a point

between P and R

P

Q

R

S

DIAGRAM 2

If PS PR = 2 3 find [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

13

3

14 Diagram 3 shows positional vector of P in a Cartesian plane

P ( 6 4 )

p

O

y

x

Given = 3i + ( m ndash 1 ) j and = k Find the value of m [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

14

3

DIAGRAM 3

ForExaminerrsquos

use

SULIT 23 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

15 Diagram shows a graph

y

1 against x 2

Express y in terms of x [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

( 4 5 )

3

y

1

x 2

15

3

16 Point P moves in a circle with centre A ( 2 - 3 ) and diameter 4 units

Find the equation of locus P

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

16

3

DIAGRAM 4

ForExaminerrsquos

use

SULIT 25 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

17 Given that y = Find hence find the approximate value of

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

17

4

18 Find f rdquo (x) of function f(x) = ( x 2 + 3 ) 3 [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

18

4

ForExaminerrsquos

use

SULIT 27 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

19 If = 4 find the value of k

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

19

3

20 Given that the rate of distance s against time t is 4t + 3 If s = 3

when t = 1 express s in terms of t

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

20

4

ForExaminerrsquos

use

SULIT 29 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

21 Diagram shows a sector POQ with centre O and a triangle POS

O S Q

P

Ө

If OP = 5 cm and SQ = 2 cm find the area of the shaded part [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

21

4

22 By using all letters from the word RAJIN find the number of possible

ways that can be formed if the vocals are side by side [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

22

3

DIAGRAM 6

ForExaminerrsquos

use

SULIT 31 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

23 A committee wants to select 5 participants from two schools to participate in a

quiz competition If school A has 6 qualified participants and school B has 8

qualified participants find how many ways the number of participants can be

selected if at least half of participants from school B are selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

23

3

24 Diagram shows a standard normal distribution graph If p ( - a lt z lt a ) = 07698 find the value of a [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

f(z)

- a a 0

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

24

3

ForExaminerrsquos

use

SULIT 33 34721

34721 copy 2005 Hakmilik PKPSM SULIT

25 20 of the SPM excellent students will be selected to IPTA If 10

excellent students attended the interview find the probability 3 of

the students will be selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

END OF QUESTION PAPER

3

25

ForExaminerrsquos

use

SULIT 21 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

13 Diagram 2 shows a triangle PQR with = 2x and = 3y where S is a point

between P and R

P

Q

R

S

DIAGRAM 2

If PS PR = 2 3 find [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

13

3

14 Diagram 3 shows positional vector of P in a Cartesian plane

P ( 6 4 )

p

O

y

x

Given = 3i + ( m ndash 1 ) j and = k Find the value of m [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

14

3

DIAGRAM 3

ForExaminerrsquos

use

SULIT 23 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

15 Diagram shows a graph

y

1 against x 2

Express y in terms of x [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

( 4 5 )

3

y

1

x 2

15

3

16 Point P moves in a circle with centre A ( 2 - 3 ) and diameter 4 units

Find the equation of locus P

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

16

3

DIAGRAM 4

ForExaminerrsquos

use

SULIT 25 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

17 Given that y = Find hence find the approximate value of

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

17

4

18 Find f rdquo (x) of function f(x) = ( x 2 + 3 ) 3 [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

18

4

ForExaminerrsquos

use

SULIT 27 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

19 If = 4 find the value of k

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

19

3

20 Given that the rate of distance s against time t is 4t + 3 If s = 3

when t = 1 express s in terms of t

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

20

4

ForExaminerrsquos

use

SULIT 29 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

21 Diagram shows a sector POQ with centre O and a triangle POS

O S Q

P

Ө

If OP = 5 cm and SQ = 2 cm find the area of the shaded part [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

21

4

22 By using all letters from the word RAJIN find the number of possible

ways that can be formed if the vocals are side by side [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

22

3

DIAGRAM 6

ForExaminerrsquos

use

SULIT 31 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

23 A committee wants to select 5 participants from two schools to participate in a

quiz competition If school A has 6 qualified participants and school B has 8

qualified participants find how many ways the number of participants can be

selected if at least half of participants from school B are selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

23

3

24 Diagram shows a standard normal distribution graph If p ( - a lt z lt a ) = 07698 find the value of a [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

f(z)

- a a 0

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

24

3

ForExaminerrsquos

use

SULIT 33 34721

34721 copy 2005 Hakmilik PKPSM SULIT

25 20 of the SPM excellent students will be selected to IPTA If 10

excellent students attended the interview find the probability 3 of

the students will be selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

END OF QUESTION PAPER

3

25

ForExaminerrsquos

use

SULIT 23 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

15 Diagram shows a graph

y

1 against x 2

Express y in terms of x [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

( 4 5 )

3

y

1

x 2

15

3

16 Point P moves in a circle with centre A ( 2 - 3 ) and diameter 4 units

Find the equation of locus P

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

16

3

DIAGRAM 4

ForExaminerrsquos

use

SULIT 25 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

17 Given that y = Find hence find the approximate value of

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

17

4

18 Find f rdquo (x) of function f(x) = ( x 2 + 3 ) 3 [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

18

4

ForExaminerrsquos

use

SULIT 27 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

19 If = 4 find the value of k

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

19

3

20 Given that the rate of distance s against time t is 4t + 3 If s = 3

when t = 1 express s in terms of t

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

20

4

ForExaminerrsquos

use

SULIT 29 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

21 Diagram shows a sector POQ with centre O and a triangle POS

O S Q

P

Ө

If OP = 5 cm and SQ = 2 cm find the area of the shaded part [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

21

4

22 By using all letters from the word RAJIN find the number of possible

ways that can be formed if the vocals are side by side [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

22

3

DIAGRAM 6

ForExaminerrsquos

use

SULIT 31 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

23 A committee wants to select 5 participants from two schools to participate in a

quiz competition If school A has 6 qualified participants and school B has 8

qualified participants find how many ways the number of participants can be

selected if at least half of participants from school B are selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

23

3

24 Diagram shows a standard normal distribution graph If p ( - a lt z lt a ) = 07698 find the value of a [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

f(z)

- a a 0

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

24

3

ForExaminerrsquos

use

SULIT 33 34721

34721 copy 2005 Hakmilik PKPSM SULIT

25 20 of the SPM excellent students will be selected to IPTA If 10

excellent students attended the interview find the probability 3 of

the students will be selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

END OF QUESTION PAPER

3

25

ForExaminerrsquos

use

SULIT 25 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

17 Given that y = Find hence find the approximate value of

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

17

4

18 Find f rdquo (x) of function f(x) = ( x 2 + 3 ) 3 [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

18

4

ForExaminerrsquos

use

SULIT 27 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

19 If = 4 find the value of k

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

19

3

20 Given that the rate of distance s against time t is 4t + 3 If s = 3

when t = 1 express s in terms of t

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

20

4

ForExaminerrsquos

use

SULIT 29 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

21 Diagram shows a sector POQ with centre O and a triangle POS

O S Q

P

Ө

If OP = 5 cm and SQ = 2 cm find the area of the shaded part [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

21

4

22 By using all letters from the word RAJIN find the number of possible

ways that can be formed if the vocals are side by side [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

22

3

DIAGRAM 6

ForExaminerrsquos

use

SULIT 31 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

23 A committee wants to select 5 participants from two schools to participate in a

quiz competition If school A has 6 qualified participants and school B has 8

qualified participants find how many ways the number of participants can be

selected if at least half of participants from school B are selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

23

3

24 Diagram shows a standard normal distribution graph If p ( - a lt z lt a ) = 07698 find the value of a [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

f(z)

- a a 0

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

24

3

ForExaminerrsquos

use

SULIT 33 34721

34721 copy 2005 Hakmilik PKPSM SULIT

25 20 of the SPM excellent students will be selected to IPTA If 10

excellent students attended the interview find the probability 3 of

the students will be selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

END OF QUESTION PAPER

3

25

ForExaminerrsquos

use

SULIT 27 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

19 If = 4 find the value of k

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

19

3

20 Given that the rate of distance s against time t is 4t + 3 If s = 3

when t = 1 express s in terms of t

[ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

20

4

ForExaminerrsquos

use

SULIT 29 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

21 Diagram shows a sector POQ with centre O and a triangle POS

O S Q

P

Ө

If OP = 5 cm and SQ = 2 cm find the area of the shaded part [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

21

4

22 By using all letters from the word RAJIN find the number of possible

ways that can be formed if the vocals are side by side [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

22

3

DIAGRAM 6

ForExaminerrsquos

use

SULIT 31 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

23 A committee wants to select 5 participants from two schools to participate in a

quiz competition If school A has 6 qualified participants and school B has 8

qualified participants find how many ways the number of participants can be

selected if at least half of participants from school B are selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

23

3

24 Diagram shows a standard normal distribution graph If p ( - a lt z lt a ) = 07698 find the value of a [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

f(z)

- a a 0

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

24

3

ForExaminerrsquos

use

SULIT 33 34721

34721 copy 2005 Hakmilik PKPSM SULIT

25 20 of the SPM excellent students will be selected to IPTA If 10

excellent students attended the interview find the probability 3 of

the students will be selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

END OF QUESTION PAPER

3

25

ForExaminerrsquos

use

SULIT 29 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

21 Diagram shows a sector POQ with centre O and a triangle POS

O S Q

P

Ө

If OP = 5 cm and SQ = 2 cm find the area of the shaded part [ 4 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

21

4

22 By using all letters from the word RAJIN find the number of possible

ways that can be formed if the vocals are side by side [ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphellip

22

3

DIAGRAM 6

ForExaminerrsquos

use

SULIT 31 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

23 A committee wants to select 5 participants from two schools to participate in a

quiz competition If school A has 6 qualified participants and school B has 8

qualified participants find how many ways the number of participants can be

selected if at least half of participants from school B are selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

23

3

24 Diagram shows a standard normal distribution graph If p ( - a lt z lt a ) = 07698 find the value of a [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

f(z)

- a a 0

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

24

3

ForExaminerrsquos

use

SULIT 33 34721

34721 copy 2005 Hakmilik PKPSM SULIT

25 20 of the SPM excellent students will be selected to IPTA If 10

excellent students attended the interview find the probability 3 of

the students will be selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

END OF QUESTION PAPER

3

25

ForExaminerrsquos

use

SULIT 31 34721

34721 copy 2005 Hakmilik PKPSM SULIT

[ Lihat Sebelah

23 A committee wants to select 5 participants from two schools to participate in a

quiz competition If school A has 6 qualified participants and school B has 8

qualified participants find how many ways the number of participants can be

selected if at least half of participants from school B are selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

23

3

24 Diagram shows a standard normal distribution graph If p ( - a lt z lt a ) = 07698 find the value of a [ 3 marks ] Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

f(z)

- a a 0

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

24

3

ForExaminerrsquos

use

SULIT 33 34721

34721 copy 2005 Hakmilik PKPSM SULIT

25 20 of the SPM excellent students will be selected to IPTA If 10

excellent students attended the interview find the probability 3 of

the students will be selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

END OF QUESTION PAPER

3

25

ForExaminerrsquos

use

SULIT 33 34721

34721 copy 2005 Hakmilik PKPSM SULIT

25 20 of the SPM excellent students will be selected to IPTA If 10

excellent students attended the interview find the probability 3 of

the students will be selected

[ 3 marks ]

Answer helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip

END OF QUESTION PAPER

3

25