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1449/1 [Lihat sebelah

SULIT

SULIT

1449/1

MATHEMATICS

PAPER1

AUGUST 2008

1 HOUR 15 MINUTES

JABATAN PELAJARAN NEGERI SABAH

SIJIL PELAJARAN MALAYSIA TAHUN 2008

EXCEL 2

________________________________________________________________________

MATHEMATICS (MATEMATIK)

PAPER 1 (KERTAS1)

ONE HOUR FIFTEEN MINUTES (SATU JAM LIMA BELAS MINIT)

________________________________________________________________________

JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU

Calon dikehendaki membaca maklumat di halaman 2

________________________________________________________________________This question paper consists of 16 printed pages.

(Kertas soalan ini terdiri daripada 16 halaman bercetak.)

NAMA : ________________KELAS : __________________

NO K.P : _________________A. GILIRAN : __________________

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2

INFORMATION FOR CANDIDATES

1. This question paper consists of40 questions.

2. Answerallquestions.

3. Answer each question by blackening the correct space on the answer sheet.

4. Blacken only one space for each question.

5. If you wish to change your answer, erase the blackened mark that you have done.

Then blacken the space for the new answer.

6. The diagram in the questions provided are not drawn to scale unless stated.

7. A list of formulae is provided on pages 3 to 4.

8. A booklet of four-figure mathematical tables is provided.

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

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SULIT

3

The following formulae may be helpful in answering the questions. The symbols given arethe ones commonly used.

RELATIONS

1

2

3

4

5

6

7 Distance =

8 Midpoint,

9 Average speed =

10 Mean =

11 Mean =

12 Pythagoras Theorem

13

14

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SHAPES AND SPACE

1 Area of trapezium =2 Circumference of circle =3 Area of circle =4 Curved surface area of cylinder =5 Surface area of sphere =6 Volume of right prism = cross sectional area length7 Volume of cylinder =8 Volume of cone =

9 Volume of sphere =

10 Volume of right pyramid = luas tapak11 Sum of interior angles of a polygon =12

13

14 Scale factor,15 Area of image = area of object

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Answerallquestion.

1 Round off 0.05098 correct to three significant figures.A 0.051

B 0.0500C 0.0509D 0.0510

2 Express 52 700 in standard form.

A 5.27 102

B 5.27 104

C 5.27 102

D 5.27 10-4

3 0.0000398 2.9 106

=

A 1.08 105

B 1.08 106

C 3.69 105

D 3.69 106

4 A cuboid has a length of cm, width of cm and height of 500 mm.

Calculate the volume, in cm , of the cuboid.

A

B

C

D

5 Express as a number in base five

A 1

BC

D

6 10001 110 =

A 1001

B 1011

C 1101

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7 In Diagram 1,PQRSTUis a regular hexagon.PUVand QPWare straight lines.

DIAGRAM 1

The value ofx +y =

A 76

B 96

C 104

D 134

8 In Diagram 2,PQR is a tangent to the circle at point Q. Given that PQT= 56. The

length of the arc TQ is equal to the length of the arc SQ.

Find the value ofx .

A 56B 68

C 112D 124

Q P W

R

S T

U

Vx0

y0

740

P

Q

R

T

S

x0

DIAGRAM 2

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9 In Diagram 3, which of the triangle, A, B, C orD is the image ofPunder arotation of clockwise about the centre (0,0)?

DIAGRAM 3

10 In Diagram 4, Mis the image ofNunder a translation.

DIAGRAM 4

Which of the following represent the correct translation?

A

B

C

D

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11 In Diagram 5, QS = QR andPQR is a straight line.

DIAGRAM 5

The value of sin SQR is

A

B

C

D

12 Diagram 6 shows the graph of y = cosx

DIAGRAM 6

The value of S is

A 90o

B 180o

C 270o

D 360o

0o S

y

1

-1

x

S

RP Q 6 cm

8 cm

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13 In Diagram 7, O is the origin of a Cartesan plane.

The value of cos is

A

B

C

D

14 Diagram 8 shows a pyramid with an equilateral triangle base, PQR. Point V is

right on top of pointR.

DIAGRAM 8

Name the angle between the two planesPQR and VPQ.

A

B

C

D

y

xO

DIAGRAM 7

P(8, 15)

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15 In Diagram 9, JandL are two points on a horizontal plane.LKis a vertical pole.

The angle of depression of point J from vertex Kis

A 26 24'B 28 46'

C 32 24'

D 33 41'

16 In Diagram 10,PQ andRSare two vertical poles on a horizontal plane. The angle of

elevation ofPfromR is 35 .

Calculate the value of t.

A 10.5

B 14.5

C 16.5

D 20.5

17 It is given that the bearing of point F fromEis 028 .

Find the bearing ofEfrom F.

A 028

B 062

C 152

12 m

8 m

J L

K

DIAGRAM 9

P

R

Q S

4 m

tm

15 m

DIAGRAM 10

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18 P( 64oN, 100

oW ) and Q are two points on the earths surface such thatPand Q is the

diameter of the earth. The position of point Q is

A (64o

N, 80o

E )

B (64o

N, 100o

E )

C (64

o

S, 100

o

E )D (64o

S, 80o

E )

19 (2m n)2 + 4mn =

A 4m2

+ n2

B 4m2

n2

C 4m2

8mn n2

D 4m2

4mn + n2

20 Express as a single fraction

in its simplest form.

A

B

C

D

21 Given 2( 2 + 3m ) = 5 ( 2m 4 ), then m =

A 3B 4

C 5D 6

22 If , n is

A 1

B 3

C 5D 7

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23 Given , express in terms of .

A

B

C

D

24 List all the integers p that satisfy both the inequalities 4p + 3 27 and > 2.

A 4, 5

B 5, 6

C 4, 5, 6

D 5, 6, 7

25 Given that the mean of 2, 7, 8, 10 andx is 6, find the value ofx.

A 3

B 5C 6

D 9

26 Diagram 11 is a pictograph showing the number of computers sold in January and

February. The number of computers sold in March are not shown.

January

February

March

represent 10 computers

DIAGRAM 11

If the information above is represented by a pie chart, the angle for the sector ofcomputers sold in February is .

The number of computers sold in March was

A 20

B 30

C 40

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27 Table 1 shows the frequency and accumulated frequency for the length of leaves

collected by Ahmad.

TABLE 1

Find the value ofx.

A 29

B 31

C 40

D 50

28 Diagram 12 shows the graph of the function y = xn

+ b.

`

The value ofb is

A 2

B 4C 6

D 8

29 It is given that the universal set, andsetR = .

Find setR'.

A {19, 23, 29, 31}B {21, 23, 25, 27, 29}

C {20, 21, 23, 25, 29, 30}D {19, 22, 24, 26, 27, 28, 31}

y

x

2

DIAGRAM 12

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34 Given that the probability of choosing a man at random from a group of tourists is .

If there are 28 women in the group, find the total number of tourists in the group.

A 16

B 44C 56

D 64

35 A bus had 28 passengers which 8 are men. At a bus stop, 5 men boarded and 3 women

alighted from the bus. If a passenger is then chosen at random from the bus, find theprobability that the passenger is a man.

A

B

C

D

36 Given that , find matrix M

A

B

C

D

37 Given that , find the value

ofh and k.

A h = 3 , k= 6

B h = 6, k= 3C h = -3, k= 6

D h = -6 , k= 3

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38 Tvaries directly as the square root ofp and inversely as the square ofg. This joint

variation can be written as

A

B

C

D

39 It is given thaty varies directly as the square root ofx andy = 6 whenx = 16.

Calculate the value ofx wheny = 9.

A 25B 36

C 64D 81

40 Table 2 shows the variables, h, m and p, which satisfy the relationship .

Find the value ofy.A 2

B 6C 8

D 12

4 6

64 1442

TABLE 2

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END OF QUESTION PAPER

JAWAPAN KERTAS 1 EXCEL 2 SPM 2008

1. D 21. D2. B 22. B

3. C 23. A

4. C 24. C

5. A 25. A

6. B 26. B

7. A 27. C

8. B 28. D

9. C 29. D

10. B 30. A

11. C 31. A

12. D 32. B13. A 33. A

14. C 34. B

15. D 35. C

16. B 36. D

17. D 37. C

18. D 38. D

19. A 39. B

20. A 40. A

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CO-ORDINATOR

Judy Lian Yee LingSEKTOR PENGURUSAN AKADEMIK

LIST OF PANEL MEMBERS

1. Wong Teck Sing SMK Likas, Kota Kinabalu.2. Mercy Mathew SM Stella Maris, Kota Kinabalu.3. Aau Fui Lin SMK Elopura, Sandakan4. Dodibitius Bangin SMK Tamparuli, Tamparuli5. Frederick Leyong Soh Andu SM Shan Tao, Kota Kinabalu.6. Judy Fung Siew Jin SMK ST. Michael, Penampang.7. Lim Kien Kwok SM Tinggi K.K, Kota Kinabalu..

.

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