Answer Johor Spm 09 Maths

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SULIT 1449/l Mathematics PaperI Ogos/Sept2009

JABATAN PELAJARAN NEGERI JOHOR

PEPERIKSAAN PERCUBAAN SPM TAHUN 2OO9

SKEMA PEMARKAHAN MA T HE MA T I CS

Paper1 One hour and lllthteenmittutcs

1449ll

SULIT

2oo9 G)I{akciptaJPNJ www.tutormuruli.blogspot.com

1449tr

SULIT AnswersFor Paperl(MathematicsSPMJulang2009)

I

Answer C

2

B

a J

C

4 5 6 7 8 9

B D B

No

L

C

t)

0

A

I )

B D

J

C

A

D

6

7

B D

t8

C

l9

20

B D

2l

A

22

L.

T

L)

24 25 L t)

27 28 29 30 3l

A D A

C C A A (-

B

)/.

34 35

D B B

Jt)

C

3'l 38 39 40

B D

JJ

L

B

SULTT

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SULIT

1449t2

1449/2 Mathematics Paper 2 September2009

JABATAN PELAJARAN NEGERI JOHOR

PEPERIKSAAN PERCUBAAN SPM TAHUN 2OO9

SKEMA PEMARKAHAN MATHEMATICS

Paper2 Trvoho u rsa n dt h irrymin u t e s

1449/2

SULIT www.tutormuruli.blogspot.com

No

Answers

Marks PI (f o rlin e x = 4 dotted/solid line)

X:4 I I

i

Y:X

I

I

I I

5

P2

0 +y:5

(areashaded a n dx : 4 mus tb e dottedline) Note : AwardPl forx :4 solid lin e .

Subtotal z

9 x- 3 y: 15 or y:3x-5 1 3 x:2 6 or equivalent x:2

o re q r. riv a le n t

,, y -- |r

3

K K N N ,,|

Subtotal 4x'-llx*3:0 (4x + l)(x - 3 ):0

KI KI NI NI

X :-l ,X :3 A

Subtotal 4

I

'x(6

4

KI

+8)x5x6

2

KI

1 " 6 x8 xh a J

1

'x(6

+8)x5x6

2 h:7

+

I x6x8xh=322

KI

J

NI

Subtotal

4

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5

(a) Some

P1

(b) Premise2

Triangle ABC is a regularpolygon.

(c) 2 -

P2 K1 N1

)z

( note: withoutworkingaward KlNl) Subtotal 6

(a)

5

l T l p s :tT l e R :

6:2(6)+c

8 -0

2-e2t orequivale n t

KI KI NI

Y :2x-6 (b) 0: 2x - 6 or equivalent (3,0)

KI NI

Subtotal

7

(a)

1^22 47 1^22_ -x /.x 47

72 * 2 x 4 x l4 360 7 72 * * 2 r 4 x 1 4 + 14+15+12+8+ 5 360 7

/ o,

-x zx_x

411 '^- or

82

"1

or 82.6cm.

KI KI N1

(b)

!*Lrf o , 7 2 , ? r 1 4 , o r 1 9 x1 5 47 3607 - 7 2 r 4 r t4 ' rexrs - 1*2*f 47 3607

KI K1

1 2 3 3o r n 3 ! o r 1 2 3.3cm2 l0 l0

NI

Subtotal

6

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8

(a)

m: n:

(b)

1 17 I

P1 P1

(s -r)(') f3 0)

[z t )lr)=[-rJ

P1

3

KI

/x\ tt-

')|,3o) \v) s(3)-(-1X2)l-2sr[-s] tt-

v :-5

N1 N1

Subtotal 6

6 P1

!* r,* 6 =90 2

KI

x:5

9

(a) (b)

u:30 (c)

NI

Itzo*30)4+(6x30)+eo

2

K2

t6 NI

Z3l or 23J25 8 Subtotal

L i sti n gS : { (A ,7 ),( A ,9) ,( A,l0) (R ,7 ),(R,9) ,( R,10) (t,7 ),(t,9) ,( t,10) ( F ,9)(, F,10)) (F ,7 ),

l0

(a)

(b)

6 P1

{(A ,10),(t,l 0)} 2l t26

KI

{(A,7),( A,9),(R,7) ( R,9),(t,7),( 1,9), (F,7),( F,g), (R,10),( F,l0))

KI

N1

10 5 '-or 126

N II

Subtotal

5

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ll

ZHBE

P1

B E : 1 7cm

P1 KI

T a nI H B E : 5 t7 Z 16.39"or 16 23'

NI

Subtotal

I2

4

(a) 1 -l

-6 b)

(c)

a J

t4

Graph ( Re-ferto the g'aph I The axesdrawn in the right directionwith a uniformscalefor -l<x<7 7 points and*2 pointsplottedcorrectlyor the curvepassesthroughthe 9 pointsin the rangeof - I < x < 7 Note: If 7 pointsare plottedcorrectly, award Kl if 6 pointsor lessareplottedconectly,award K0 Smoothand continuousculve that passes throughall the 8 points correctlywithout any straightsegmentin the rangeof -1 < x < 7, Ignorethat areout ofthe range.

4 The straightline y = x * 4 drawn correctly. ( Judgment: straightline that'spasses 2 pointsrnarkscorrectly) Valuesofx= 0.4 +0.I x= 5.6*0.1

(a)

KI K2

N1 N1 NI

(i) y: t3.2 +0.2 (ii) x= -0.8*0.1

(d) y:x+

l3

K1Kl

Kt KI NI NI

Subtotal

t2

i )( 7,s )

P2

Note: (2 ,3 ) getP l ii) (2,7 ) Note: ( -3 , 5) get Pl

P2

(b) i) W - Rotation 90ocloc k r, v isaeb o u t(l , -2 ) ( Note : (i) Rotation90oclockwise/ Rotationabout ( | , -2) awardP2) (ii) Rotation Award P1. V - Enlargementat centre( - l, l) with scalefactor4 (Note: (i) Enlargement at centre( -l,l) or Enlargement with scalefactor 4 awardP2) (ii) EniargementawarciPi . ii) 4' x PQR- PQR= 165 A reaof P QR: llunit t r

P3

P3

KI NI

t2

Subtotal

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(a)

UpperBoundary

CumulativeFrequency

Tablel4 Jadual ll UpperBoundary Cumulativefrequency

MeanAge:

(12X l )+ (t7X 3) + (22 ) ( 6 )+ ( 2 7) ( 1 0 )+ ( 3 2 ) ( 1 1+) (b) (37)(1)+ (42)(2) 40 29 (c) Ogive ( Refer to the graph ) Correctlabelingof the horizontalaxis. All pointscorrectlyplotted. Point is plottedcorrectlyandthe ogive passes throughit. Smoothcurvethat passesthroughall the points Note:If 6 pointsareplottedcorrectly,entitle Kl If 5 pointsor lessareplottedcorrectly,assign K0

(d)

40 -28 t2

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KI Correct shape KI DH:AG>DA:H G > EH:FG NI Accurate measurement ( + 0.2cm)

KI Coruectshape * Accept sketching of semi circle KI BK>GK>FG>AL :MB * Acceptonly drarvingof semi circle

A/D

LIP

HiEiR

JIC

N2 ( Accurate measurement) KI (correctshape) Ignoredottedline LP andMN KI ( BothDottedline LP andMN)

G/F/Q

K/B

l /l I\I

DJ>AK>AD=CH= KJ > AG:GK =DH _ III

- nJ

N2(Accurate measurement)

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t6

(a)

I 10"W

P1P1

(b)

180-35-3s ll0x60 6600n.m

KI K1 NI

(c) (i) 180x 60 x cos35o n.m 8846.84

K I K1 N1 PI

(ii) 70 x 60 70 x 60 + 8846.84

K2

710 18.38hoursor l8H 23 Min . Subtotal

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NI

t2

Q l2 (b),(c)and(d) +-2

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cm->

Q 14(b) & (d)

_Age=33.0

t

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