JABATAN PELAJARAN NEGERI SABAH - TUTOR … · JABATAN PELAJARAN NEGERI SABAH ... This question paper consists of 16 printed pages. ... Name the angle between the two planes PQR and

1449/1 [Lihat sebelahSULIT

SULIT

1449/1MATHEMATICS

PAPER 1

AUGUST 20081 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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SMS MUZAFFAR SYAH , MELAKA

http://tutormansor.wordpress.com/

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INFORMATION FOR CANDIDATES

1. This question paper consists of 40 questions.

2. Answer all questions.

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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3

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

RELATIONS

1 nmnm aaa

2 nmnm aaa

3 mnnm aa )(

4

ac

bd

bcadA

11

5)(

)()(

Sn

AnAP

6 )(1)'( APAP

7 Distance = 221

221 )()( yyxx

8 Midpoint,

2,

2),( 2121 yyxx

yx

9 Average speed =takenltime

travelleddistance

10 Mean =dataofnumber

dataofsum

11 Mean =sfrequencieofsum

frequency)markclass(ofum s

12 Pythagoras Theorem222 bac

1312

12

xx

yym

14erceptx

erceptym

int

int

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SHAPES AND SPACE

1 Area of trapezium = heights2

1 sidesparallelofum

2 Circumference of circle = rd 2

3 Area of circle = 2r

4 Curved surface area of cylinder = rh2

5 Surface area of sphere = 24 r

6 Volume of right prism = cross sectional area length

7 Volume of cylinder = hr 2

8 Volume of cone = hr 2

3

1

9 Volume of sphere = 3

3

4r

10 Volume of right pyramid = 3

1luas tapak tinggi

11 Sum of interior angles of a polygon = 180)2( n

12360

centreatsubtendedangle

circleofncecircumfere

lengtharc

13360

centreatsubtendedangle

circleofarea

sectorofarea

14 Scale factor,PA

PAk

'

15 Area of image = 2k area of object

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5

Answer all question.

1 Round off 0.05098 correct to three significant figures.

A 0.051B 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 2104.1 cm, width of 3108.0 cm and height of 500 mm.

Calculate the volume, in cm 3 , of the cuboid.

A 4106.5

B 5106.5

C 6106.5

D 7106.5

5 Express 352 2 as a number in base five

A 1 542

B 5203

C 5342

D 5403

6 100012─ 110

2=

A 10012

B 10112

C 11012

D 11112

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7 In Diagram 1, PQRSTU is a regular hexagon. PUV and QPW are straight lines.

DIAGRAM 1

The value of x + y =

A 76B 96C 104D 134

8 In Diagram 2, PQR is a tangent to the circle at point Q. Given that PQT = 56º. Thelength of the arc TQ is equal to the length of the arc SQ.

Find the value of x .

A 56ºB 68ºC 112ºD 124º

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 or D is the image of P under arotation of 90 clockwise about the centre (0,0)?

DIAGRAM 3

10 In Diagram 4, M is the image of N under a translation.

DIAGRAM 4

Which of the following represent the correct translation?

A 5

4

B 5

4

C 5

4

D 5

4

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

DIAGRAM 5

The value of sin SQR is

A5

3

B4

3

C5

4

D3

4

12 Diagram 6 shows the graph of y = cos x

DIAGRAM 6

The value of S is

A 90o

B 180o

C 270o

D 360o

0o Sx

y1

-1

x

S

RP Q 6 cm

8 cm

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9

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

The value of cos r is

A17

8

B17

15

C15

8

D15

17

14 Diagram 8 shows a pyramid with an equilateral triangle base, PQR. Point V isright on top of point R.

DIAGRAM 8

Name the angle between the two planes PQR and VPQ.

A VPR

B VRX

C VXR

D VQR

y

xO

r

DIAGRAM 7

P(8, 15)

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15 In Diagram 9, J and L are two points on a horizontal plane. LK is a vertical pole.

The angle of depression of point J from vertex K is

A 26° 24'B 28° 46'C 32° 24'D 33° 41'

16 In Diagram 10, PQ and RS are two vertical poles on a horizontal plane. The angle ofelevation of P from R is 35° .

Calculate the value of t.

A 10.5B 14.5C 16.5D 20.5

17 It is given that the bearing of point F from E is 028 .Find the bearing of E from F.

A 028

B 062

C 152

D 208

12 m

8 m

J L

K

DIAGRAM 9

P

R

Q S

4 m

t m

15 m

DIAGRAM 10

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18 P ( 64oN, 100o W ) and Q are two points on the earth’s surface such that P and Q is thediameter of the earth. The position of point Q is

A (64o N, 80o E )B (64o N, 100o E )C (64o S, 100o 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

e

e

eh

h

2

412

as a single fraction

in its simplest form.

Aeh

eh

2

4

Beh

eh

2

4

C22

4

eh

eh

D22

4

eh

eh

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

A 3B 4C 5D 6

22 Ifn

4

116 2

3

, n is

A 1B 3C 5D 7

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23 Given 73

n

mm, express n in terms of m .

A21

3

m

mn

Bm

mn

21

3

Cm

mn

3

21

Dm

mn

3

21

24 List all the integers p that satisfy both the inequalities 4p + 3 ≤ 27 and3

2 p> 2.

A 4, 5B 5, 6C 4, 5, 6D 5, 6, 7

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

A 3B 5C 6D 9

26 Diagram 11 is a pictograph showing the number of computers sold in January andFebruary. 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 168 .The number of computers sold in March was

A 20

B 30

C 40

D 50

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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 of x.

A 29

B 31

C 40

D 50

28 Diagram 12 shows the graph of the function y = −xn + b.

`

The value of b is

A 2B 4C 6D 8

29 It is given that the universal set, integer}anis,3119:{ xxx and

set R = number}primeaisdigitstwoitsofsumthesuch thatnumberais:{ xx .

Find set R' .

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

x2

DIAGRAM 12

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30 Given that integer},anis,189{ xx }14:{ xxE and xxF :{ is a

multiple of 3}, find n( FE ).

A 2B 4C 6D 8

31 The Venn diagram in Diagram 13 shows the set U, set V and set W. Given thatWVU .

List all the elements of the set UWV'

A { 2, 4, 9 }B { 2, 3, 4, 7 }C { 1, 5, 6, 9 }D { 1, 2, 3, 4, 5, 6, 7 }

32 Determine the x-intercept for the straight line 5y – 3x = 9A - 5B - 3C 3D 5

33 Diagram 14 shows the straight line UV in a Cartesian plane

The gradient of the straight line UV isA 3B 4C 7D 9

•2

U

V

•7•6

•4•1

•3

•5W

•9

DIAGRAM 13

U )2,1(

V 10),3(y

xO

DIAGRAM 14

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34 Given that the probability of choosing a man at random from a group of tourists is11

4.

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

A 16B 44C 56D 64

35 A bus had 28 passengers which 8 are men. At a bus stop, 5 men boarded and 3 womenalighted from the bus. If a passenger is then chosen at random from the bus, find theprobability that the passenger is a man.

A26

3

B26

23

C30

13

D30

17

36 Given that

32

17

56

31M , find matrix M

A

88

46

B

14

28

C

14

28

D

88

46

37 Given that 0123

042

h

k, find the value

of h and k.

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

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38 T varies directly as the square root of p and inversely as the square of g. This jointvariation can be written as

A pgT

Bg

pT

2

Cg

pT

D2

g

pT

39 It is given that y varies directly as the square root of x and y = 6 when x = 16.Calculate the value of x when y = 9.

A 25B 36C 64D 81

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

mh .

Find the value of y.A 2B 6C 8D 12

h 4 6m 64 144p 2 y

TABLE 2

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END OF QUESTION PAPERJAWAPAN KERTAS 1 EXCEL 2 SPM 2008

1. D 21. D2. B 22. B3. C 23. A4. C 24. C5. A 25. A6. B 26. B7. A 27. C8. B 28. D9. C 29. D10. B 30. A11. C 31. A12. D 32. B13. A 33. A14. C 34. B15. D 35. C16. B 36. D17. D 37. C18. D 38. D19. A 39. B20. A 40. A

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JABATAN PELAJARAN NEGERI SABAH - TUTOR … · JABATAN PELAJARAN NEGERI SABAH ... This question paper consists of 16 printed pages. ... Name the angle between the two planes PQR and