2010 Pspm Kedah Mm12 w Ans

8/8/2019 2010 Pspm Kedah Mm12 w Ans

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PERSIDANGAN KEBANGSAAN PENGETUA-PENGETUA

SEKOLAH MENENGAH

NEGERI KEDAH DARUL AMAN

PEPERIKSAAN PERCUBAAN SPM 2010 1449/1MATHEMATICS

ANSWER FOR PAPER 1

1 B 11 C 21 C 31 D

2 A 12 D 22 A 32 B

3 D 13 A 23 A 33 B

4 B 14 B 24 B 34 D

5 C 15 C 25 B 35 C

6 B 16 B 26 D 36 B

7 C 17 D 27 A 37 D

8 C 18 C 28 D 38 C

9 A 19 A 29 A 39 D

10 B 20 A 30 C 40 A

ANALISIS

A 10

B 11

C 10

D 9

NOTA: MARKAH PELAJAR = 100140

)21( +KK

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SULIT 1449/2(PP)

[Lihat halaman sebelah

1449/2(PP) SULIT

1449/2 (PP)

Matematik

Kertas 2

Peraturan

Pemarkahan

19 September2010

PERSIDANGAN KEBANGSAAN PENGETUA-PENGETUA

SEKOLAH MENENGAH

NEGERI KEDAH DARUL AMAN.

PEPERIKSAAN PERCUBAAN SPM 2010

UNTUK KEGUNAAN PEMERIKSA SAHAJA

Peraturan pemarkahan ini mengandungi 19 halaman bercetak

MATHEMATICS

Kertas 2

PERATURAN PEMARKAHAN

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SULIT 1449/2(PP)

1449/2(PP) SULIT

2

Section A

[ 52marks]

Question Solution and Mark Scheme Marks

1(a)

(b)

Note :

P R correctly shaded, award K1

K1

K2 3

P R

Q

P R

Q

P R

Q

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SULIT 1449/2(PP)


1449/2(PP) SULIT

3


2 24 3 7 0 =x x

( ) ( )1 4 7 0+ =x x or equivalent

OR2( 3) ( 3) 4(4)( 7)

2(4)

=x (K1)

1= x

7 31 1 75

4 4= x or or

Note : 1. Accept without = 0.2. Accept three terms on the same side, in any order.3. Accept correct answer from the correct term without

factorisation for Kk2.

K1

K1

N1

N1 4

3 33 21

2

p q = or 3 2 18p q+ = or equivalent

Note:

Attempt to equate the coefficient of one of the unknowns award

K1

4 12q = or 4 32p = or equivalent

OR

14 2p q= + or14

2

pq

= or equivalent (K1)

2(9 )

3

qp

= or

39

2q p= or equivalent (K1)

Note:

Attempt to make one of the unknowns as the subject, award K1

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SULIT 1449/2(PP)

1449/2(PP) SULIT

4


OR

( ) ( )

1 2141

33 911 1 2 22

p

q

=

or equivalent (K2)

8p =

3q =

Note :

Accept

1.8

3

p

q

=

as final answer, award N1

2.

( ) ( )

1 2141

33 91

1 1 2 22

or equivalent seen, award (K1)

N1

N1

4(a)

(b)

PTQ or QTP

2 2

12tan

6 8=

+

or equivalent

50 19 or 50 11' or 50 12 '

P1

K1

N1 3

5(a)(i)

(ii)

(b)

False // Palsu

True // Benar

If 2 0x > , then 0 or 0x x> < //

Jika 2 0x > , maka 0 atau 0x x> <

P1

P1

P1

4

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SULIT 1449/2(PP)


1449/2(PP) SULIT

5


(c)

If 0 or 0x x> < , then 2 0x > //

Jika 0 atau 0x x> < , maka 2 0x >

5 and 9 are odd numbers // 5 dan 9 adalah nombor ganjil

P1

K1 5

6(a)

(b)

0 2 5x= or equivalent

5

2

x = or1

2

2

or 2 5

mQR = 2

6

4

y

x

=

*mQR or 6 =

*mQR (4) + c or equivalent

2 14y x= + or equivalent

K1

N1

P1

K1

N1 5

7(a)

(b)

p = 14

q = 4

2 3 13

4 1 5

x

y

=

1 3 1314 2 2(2)(1) ( 3)(4)

xy

=

or

*13

2

x inverse

y matrix

=

2x =

3y =

P1

P1

P1

K1

N1

N1

2

4

6

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SULIT 1449/2(PP)

1449/2(PP) SULIT

6


Note:

1. Do not accept

*2 3 1 0

4 1 0 1

inverseor

matrix

=

.

2.2

3

x

y

=

as final answer, award N1.

3. Do not accept any solutions solved not using matrix method.

8 21 223 5 6

3 7

2225 4

7

2 21 22 223 5 6 5 4

3 7 7

+

2739

7 or

2391

7 or 391 3

Note :

1. Accept for K mark.2. Correct answer from incomplete working, award Kk2.

K1

K1

K1

N1 4

9(a)

(b)(i)

{(S,C), (S,O), (S,R), (S,E), (C,S), (C,O), (C,R), (C,E), (O,S),

(O,C), (O,R), (O,E), (R,S), (R,C), (R,O), (R,E), (E,S), (E,C),

(E,O), (E,R)}

Note :

1. Accept correct tree diagram or grid for P22. Accept 10 correct listings for P1

{(C,S), (C,O), (C,R), (C,E)}

4

20 or

1

5

P2

K1

N1

2

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SULIT 1449/2(PP)


1449/2(PP) SULIT

7


(ii) {(S,C), (S,R), (C,S), (C,R), (O,E), (R,S), (R,C), (E,O)}

8

20

or2

5

Note :

Accept answer without working from correct listing,

tree diagram or grid.

K1

N1 4

6

10(a)

(b)

90 222 14360 7

or 120 222 7360 7

90 222 14

360 7 +

120 222 7

360 7 + 14 + 7 + 7 or equivalent

194

3 or

264

3 or 64 67

290 2214

360 7 or

2120 227

360 7

290 2214

360 7

2120 227

360 7 or equivalent

308

3 or

2102

3 or 102 7

Note :

1. Accept for K mark.2. Correct answer from incomplete working, award KK2.

K1

K1

N1

K1

K1

N1 6

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SULIT 1449/2(PP)

1449/2(PP) SULIT

8


11(a)

(b)

(c)

45915.3

30=

11 28

10

or

17

10

71

10 or 1 7

Note : Without working, award K1N1

( ) ( ) ( )1 111 28 10 11 12 11 8 4592 2

v + + + + =

or equivalent method

Note:

1. ( )1 11 28 102

+ or ( )11 12 or ( )1

11 82

v +

or equivalent, award K1

2. Accept 195 or 132 for K1

22

P1

K1

N1

K2

N1 6

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SULIT 1449/2(PP)


1449/2(PP) SULIT

9


12(a)

(b)

(c)(i)

(ii)

(d)

7

2

Note : K only meant for table value.

Graph

Axes drawn in correct direction, uniform scales in 3 5 4x

and 8 28y .

All 7 points and *2 points correctly plotted or curve passes

through these points for 3 5 4x and 8 28y .

A smooth and continuous curve without any straight line and passes

through all 9 correct points using the given scale for 3 5 4x .

Note : 1. 7 or 8 points correctly plotted, award K1.

2. Ignore curve out of range.

10 0 11 0y

3 20 3 10x

Identify equation 2 9y x= + or equivalent.

Straight line 2 9y x= + correctly drawn.

Values ofx : 2 65 2 55x

3 05 3 15x

Note : 1. Allow N marks if values ofx shown on the graph.

2. Valuesx obtained by calculation, award N0.

K1

K1

P1

K2(does not

depend on P)

N1(depends on

P and K)

P1

P1

K1

K1

N1(dep 2nd K1)

N1(dep 2nd K1)

2

4

2

4

12

Note:

1. Allow P mark if value of x and y areshown on the graph.

2. Value ofx and y obtained by calculation,award P0.

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SULIT 1449/2(PP)

1449/2(PP) SULIT

10

y = 2x + 9

22 3 7y x x=

2 1 O 1

20

15

10

5

5

10

2 3 4 x

25

30

y

3 4

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SULIT 1449/2(PP)


1449/2(PP) SULIT

11


13(a)(i) (6, 1) P2

Note: (6, 1) marked or (1, 4) seen or (1, 4) marked, award P1

(ii) (8, 5) P2 4

Note: (8, 5) marked or (3, 8) seen or (3, 8) marked, award P1

(b)(i)(a) W: Reflection in the linex = 1 P2

Note :

1. P1 : Reflection // Pantulan.

(b) V: Enlargement at centre K or (6, 10) with scale factor3

2 P3

Note :

1. P2 : Enlargement at centre K or(2, 1) or

Enlargement scale factor3

2

2. P1 : Enlargement.

(ii) * 2388

2

K1

* 23

88 882

K1

110 N1 8

12

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SULIT 1449/2(PP)

1449/2(PP) SULIT

12


14(a)

(b)

Frequency : (I to VIII)

Cumulative frequency : (I to VIII)

Upper Boundary : (I to VIII)

Note: Allow one mistake in frequency for P1

* * * * * * *

* * * * * * *

( 34 5 2) ( 44 5 3) ( 54 5 8) ( 64 5 10) ( 74 5 11) ( 84 5 4) ( 94 5 2)

2 3 8 10 11 4 2

+ + + + + +

+ + + + + +

Note :

1. Allow *midpoint for K12. Allow two mistakes for the multiplication of midpoint

and*frequency, for K1

65 75

Note :

Correct answer from incomplete working, award Kk2

e.g.2630

65 7540

= (without table)

P2

P1

P1

K2

N1

4

3

Marks

Markah

Frequency

Kekerapan

Cumulative

Frequency

Kekerapan

Longgokan

Upper

Boundary

Sempadan

Atas

20 29 0 0 29.5 I30 39 2 2 39.5 II

40 49 3 5 49.5 III

50 59 8 13 59.5 IV

60 69 10 23 69.5 V

70 79 11 34 79.5 VI

80 89 4 38 89.5 VII

90 - 99 2 40 99.5 VIII

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SULIT 1449/2(PP)


1449/2(PP) SULIT

13


(c)

(d)

Axes drawn in correct direction and uniform scale for

29 5 99 5x and 0 y 40

Note :Do not accept wrong label

*8 points correctly plotted

Note :

*6 or

*7 points correctly plotted or curve passes through

using at least 6 correct upper boundary, award K1

Smooth and continuous curve without any straight line passes

through 8 correct points for using given scales 29 5 99 5x

Any true statement from the ogive

Note :

Do not accept answer without an ogive

P1

K2

N1

K1

4

1

12

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SULIT 1449/2(PP)

1449/2(PP) SULIT

14

0

5

10

15

20

25

30

35

40

29.5 39.5 49.5 59.5 69.5 79.5 89.5

Marks

Frequency

45

99.5

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SULIT 1449/2(PP)


1449/2(PP) SULIT

15


15 Note :

(1) Accept drawing only (not sketch).(2) Accept diagrams with wrong labels and ignore wrong labels.(3) Accept correct rotation of diagrams.(4) Lateral inversions are not accepted.(5) If more than 3 diagrams are drawn, award mark to the

correct ones only.

(6) For extra lines (dotted or solid) except construction lines, nomark is awarded.

(7) If other scales are used with accuracy of 0.2 cm one way,deduct 1 mark from the N mark obtained, for each part

attempted.

(8) Accept small gaps extensions at the corners.For each part attempted :

(i) If 0 4 cm, deduct 1 mark from the N mark obtained.

(ii) If > 0 4 cm, no N mark is awarded.

(9) If the construction lines cannot be differentiated from theactual lines:

(i) Dotted line :If outside the diagram, award the N mark.

If inside the diagram, award N0.

(ii) Solid line :

If outside the diagram, award N0.

If inside the diagram, no mark is awarded.

(10) For double lines or non-collinear or bold lines, deduct 1mark from the N mark obtained, for each part attempted.

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SULIT 1449/2(PP)

1449/2(PP) SULIT

16


15(a)

Correct shape with pentagonABHGF

All solid lines.

BA>AF>HG >BH

Measurement correct to 0 2 cm (one way) and all angles

at vertices of rectangles = 90 1

K1

K1

dep K1

N1 dep

K1K1 3

F

G H

BA

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SULIT 1449/2(PP)


1449/2(PP) SULIT

17


15(b)(i)

Correct shape with rectangles PNML, FPLG, GLJHand FPJHAll solid lines

FN > FH >HJ = FP >MN = FG >LJ = GH = LM

Measurement correct to 0 2 cm (one way) and all angles at the

vertices of rectangles = 90 1

K1

K1

dep K1

N2 dep

K1K1 4

N M

L J

HGF

P

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SULIT 1449/2(PP)

1449/2(PP) SULIT

18


15(b)(ii)

Correct shape with rectangles QNPD andADEFAll solid lines

Note : Ignore straight line KG

Kand G joined with dashed line to form rectanglesADKG and

GKEF

QN= QA >AF>EF=AD > KE= GF >NP = QD >

EP = AG = DK

Measurement correct to 0 2 cm (one way) and all angles at

the vertices of rectangles = 90 1

K1

K1

dep K1

K1 dep

K1K1

N2 dep

K1K1K15

12

N P

Q

GK

FE

DA

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SULIT 1449/2(PP)19


16 (a)

(b)

(c)

(d)

(75S, 100E) // (75S, 100T)

Note: 1. 100E or 100T , award P2

2. 100 or E or T , award P1

6420

60 or 107

642075

60

32 S

( )80 20 60 cos 75+ or 100 60 cos 75

Note: ( )80 20+ or 100 or using cos75 correctly, award K1

1552 91

180 60

550

or equivalent

Note:( )

*180 60

550

, award K1

19 64 hours or 19 hours 38 minutes

P3

K1

K1

N1

K2

N1

K2

N1

3

3

3

3

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2010 Pspm Kedah Mm12 w Ans

Text of 2010 Pspm Kedah Mm12 w Ans