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SULIT 1449/2

1449/2MatematikKertas 2Mei 20082 jam

SEKOLAH-SEKOLAH MENENGAH NEGERI PAHANG

PEPERIKSAAN PERCUBAAN SPM 2008

MATEMATIK

Kertas 2

PERATURAN PERMARKAHAN

UNTUK KEGUNAAN PEMERIKSA SAHAJA

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Question Solution and Mark Scheme Marks

1(a)

(b)

K1

K2

3

2

37722

34

21

1155 =

h27

7

22

3

1+

37

7

22

3

4

2

1

154h = 1309

h = 8.5 cm

K1

K1

K1

N1

4

3. Kenalpasti sudut BFC or CFB

Tan BFC =

8

9

BFC = 41.630 or 410 38

P1

K1K1N1

4

4(a)

(b)

(c)

True

If 3x = 1 then x = 0

If x = 0 then 3x = 1

2(3)n + n ; n = 1, 2,3,

P1

K1

K1

K1K1

5

5. 9v + 6w = 42 atau setara

10v = 40 atau setarav = 4

w = 1

K1

K1N1

N1

4

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6 4p2 -4p-15 =0

(2p+3)(2p-5) =0

p =2

3atau p =

2

5

K1

K1

N1N1

4

7 (a)

(b)

mkl

= -3

4

LM; x=2

-4 = -3

4(6) + catau setara

MN; y = 43

4+

x atau 3y = -4x + 12

y-intercept is 12

P1

N1

K1

KI

N1

5

8 (a)

(b)

k = 4

v = 6

y

x=

)36()27(

1

73

62

1

5

x= -1y = -2

P1

P1

K2

NIN1

6

9 (a)

(b)

77

222360

120atau

147

222360

105

7 + 7 + 14 +3

44+

3

77

683

1cm.

27

7

22

360

120or

27

7

22

360

60or

214

7

22

360

105

+

3

225

3

2179

3

151

22

3

616

3

1205 cmataucm

K1

K1

NI

K1

K1

N1

6

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10(a)

(b)(i)

(ii)

25

16

+

24

9

25

10

24

14

25

15

2

1

24

15

25

16

5

2

K1

K1

N1

K1

N1

5

11(a)

(b)

(c)

6s

08

126

-0.75

156m =

+ 6)6(

2

1u + 6u

u = 10

P1

K1

N1

K1

N1

6

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Question Solution and Mark Scheme Marks

12(a)

(b)

(c)(i)

(ii)

(d)

3

-2

Graph

Axes drawn in correct direction, uniform scale for

15 x and 72 y

7 point and *2 points correctly plotted or curve passes through

these points for 15 x .

smooth and continuous curve without any straight line and

passes through all 9 correct points using the given scale for35 x .

Note:

7 or 8 points correctly plotted, award K1

80.465.4 y

4.02.0 x

65.385.3 x

Identify equation y = - x

Straight line y = - x correctly drawn

Values ofx :

7.385.3 x

9.07.0 x

Note:

Values of y and x obtained by computations, award P0N0

K1

K1

P1

K2

N1

P1

P1

P1

K1

K1

N1

2

4

3

3

12

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Question Solution and Mark Scheme Marks

13(a)

Correct shape with rectangles KLPS and PQRS .

All solid lines.

KL >DL >LI

Measurements correct to 0.2 cm (one way) and

All angles at vertices of rectangles = 90o 1

o

K1

K1

N13

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Question Solution and Mark Scheme Marks

(b)

Correct shape with rectangle MJHI and trapeziumABMH.

All solid lines.

JB >JI =MH >BM >MJ = HI

Measurements correct to 0.2 cm (one way) and

All angles at vertices of rectangles = 90o 1

o

K1

K2

N2 5

Question Solution and Mark Scheme Marks

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(c)

Correct shape with rectangles HGIL andMHJIand square

ADHG.

All solid lines.

JL >DL =AI>DG = HG > GL =HI=MJ

Measurements correct to 0.2 cm (one way) and

All angles at vertices of rectangles = 90o 1o

K1

K1

K1

N2 5

12

Question Solution and Mark Scheme Marks

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14(a)

(b)

(c)

(d)

120oE

Note: 120o or E, award P1

40 x 60 x cos 450

1697.06

Notes: cos 45 used correctly, award K1

60

4500or 750

75 - 45

300S

10800

750 =T

10800

14.4

P2

K2

N1

K1

K1

N1

K1

K2

N1

2

3

3

4

12

Question Solution and Mark Scheme Marks

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15(a)(i)

(ii)

(iii)

(iv)

(v)

(ii)

( 8, -1)

Note: point (8 , -1) marked on the diagram award P1

(5 , 5)

Note: point (5 , 5) marked on diagram, award P1

( 9, 5 )

Rotation 180o , centre (3,3)

Note:

1. P2: Rotation 180o, Rotation 180

o, centre G

2. P1: Rotation 180o

Enlargement centreN(6,1) with scale factor 3

Note:

1. P2: Enlargement centreN or Enlargement scale factor 22. P1: Enlargement

22

160

40

P1

P2

P2

P3

P3

K1

N1

5

8

12

Question Solution and Mark Scheme Marks

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16(a)

(b)

(c)

(d)

Class interval : (III to VI)

Frequency : (I to VI)

Midpoint : (I to VI)

Note: Allow one mistake in frequency for P1.

578965

)5(57)7(52)8(47)9(42)6(37)5(32

+++++

+++++

44.63

Notes: Allow two mistakes for K1.

Axes drawn in correct direction, uniform scale for

5.595.29 x and 90 y

Using lower boundry or upper boundry or midpoint or

class interval forx-axis.

* 6 bar correctly drawn

Note: * 5 bar correctly drawn, award N1

example: Most of the telephone bill is between 40 to 44

Mass(kg) Frequency Midpoint

30 - 34 5 32

35 - 39 6 37

40 - 44 9 42

45 - 49 8 47

50 - 54 7 52

55 - 59 5 57

P1

P2

P1

K2

N1

P1

K1

N2

K1

4

3

4

1

12

I

II

III

IV

V

VI

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Graph for Question 16

Graf untuk Soalan 16

END OF MARK SCHEME

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