Jawapan Percubaan SPM Matematik Negeri Sembilan 2013

7/29/2019 Jawapan Percubaan SPM Matematik Negeri Sembilan 2013

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1449lMathematicsKertas 12012

MAJLIS PEI\GETUA SEKOLAHMENENGAH MALAYSIACAWANGAN NEGERTSEMBILAN

PEPERTKSAAN ERCUBAANBERSAMASIJIL PELAJARAN MALAYSIA 2OI2

MATHEMATICSKertas1

PIIRATLTRAN PEN{ARKAHAN


2/15

PtrPLIRIKSAAN F,I{CIJBAAN PM 2012

MATHTJMA'IICSKertas '

I , D2 .A3. B4.C5. A6.B7. D8.D9. Ct 0 .B

11.Ct2c13.A14.B15.A16.At7"B18.A19.D20.A

21.C22.R23.C24.D25.A26.C27 828.B29.A30.D

31.D32.R33.C34.D35.C36.D31 D38.B39.A40. D


3/15

1149t2MathematicsKertas22012

MAJLTSPENGE,TUASEKOLAH MENENGAH N{ALAYSIACAWANGAN NEGERI SEN{BILANPEPEzuKSAAN ERCUBAAN ERSAMASIJIL PELAJARANMALAYSIA2012

MATHEMATICSKerlas

PERATURAN PEMARKAHAN


4/15

_ _- Marking Scheme

/ IvISR

tan o: 5 orl 20 : ?2.62"

equivalento r )2 " 37 '

2x2 -( ) r -

7x - -2

3x 14= 07) (x+2 ) :g

) x - -2

2p - 4q - -16-q * - -2 o r

q :2p- -4

or : , -3q - - r2

Marks

P1P23PI

KINI1J

KIKIN1NI4K1KININ14


5/15

5 1 2 2 ^ F-x -x3 .5x3 .5x837I- (10+16)5x102| 2 2 _ F _ I:X-x3 .5x3 .5x8 + : ( lO+16)5x103 7 2\ -7s2? or 2Y or 7s2.6733

;m - a < 4 - a

3 n 2 - 2 ,n: t ,2 ,3 ,4 , . .

K I

KI

KI

NI4

6 (a)(b)

(c)

P1K2

KIN1

57 (o) | p :2IIt 3(b ) ( i ) | * - - ;

| - . - I

I l = ^ ( -3 )+c o t ' s -112z| -3 7I V=-x - -122I| _ ,( i i ) lv - in t . rcePt : ;

KI

K1KINI

N1

5


6/15

/ - 5 0 t 1_ _ - t l - t J

(a)

(b) ( i )

( i i )

50msr

/ : 115

! rsirrol2 'j rtxtol

+ (5 5o)+ | t ro + t5 )5

+ (5x50) j t ro+ l l5 )5

or equivalent

1552.5

lso tx2x?*3 .5360' 7

18otxzx4*3 .5 +360" 7

27oo ^ 22 aor __; x zx360', 7

27oo ^ 22- ; x Z x _ - x 7360' , 7

2700 22" x x7x7360" 7I 900 22o r - - - - - ; x - x i . ) x j . )360' 7

I g00 22; x J . ) x j . )360 ' 727 0360pe6L4

22x - x l x I7385or 96.25 or r- '4


7/15

l0 (a)

(b) (i) K1

N1

KI

N1

11 a)

P1

K1K1

N1

N1

B] B2 B3 G1 G2BI BI82 B1B3 B 1Gl B1G2B2 B2BI B283 B2G1 B2G2B3 B3B1 B3B2 83G B3G2G1 G1B1 GI82 G1B3 GIG2G2 G2B1 G2B2 G2B3 G2GI

3220

S: { (B1,82) ,B l ,B3) .B l ,G l ) , B I ,CZ) ,82 ,81) ,82 ,83) ,82 ,G1) ,(82,G2),83,81),83 82), 83,G1),B3,G2),G1,B ), G1,82),(G1,83),G1,G2),G2,Bl),G2,82),(G2,83),G2,G1){(81,82),Bl ,B3),B2,Bl) ,B2,B3),83,B1),83,82)63- : -2 A 1 0(B1,Gt),Bt,G2),82,G1),B2,G2),B3,Gt),83,G2),G1,81),(Gl,B2), G1,83),G2,81),G2,82),G2,83)

tP- - i lq -2

x - -2y=4

(z 2 \ /x \ ( 2 \l l l l : l l[+ - t) \y [- tzJ( " ) t ( - t -2 \ (2 )t t - t l t l\ v ) l l ( -4 3 ) \ -12)


8/15

t2 (a) t2v-- x

Granh ( R*, graph on Lampiran I )Axesdrawn n thecorrect irections ith uniformscalesbr4


9/15

(7 ,7(7,7

R--23(3 ,7 )(2 ,1 ) (8 ,1 )

lJ : Rotation 0" anticlockwise

V : Enlargementf scaleactor

abouthecentre 6,9)

l nuithcentre 8,4)2

330 / n \ 2f r l= l - lt r l\ L /

x aree ABCD

AreaABCD : 146.67 or 146?3

13 ( a) (t)( i )

( b) (i) (a)


10/15

ClassntervalSelangkelas(kg) MidpointTitiktengah FrequencyKekerapan3.0 3 .4 ,.)) . 2 63.5 3 .9 . \ 4J . l nI4.4 4.4 4.2 94.5 4 .9 4.7 105.0 5 .4 5 .2 85.5 5 .9 5.7 46.0 6.4 6.2 I P1P1P2

Note:Allow two mistakesn frequencyor P1

.6 x 3 2+ .7 3 .7+ .9x4 .2+ .}x 4 .7+ -8x 2+ .4x5 .7 . 1x6 .2*6+* +.9+. 0+- +.4 -1200.5or 45

4.456 r 4.46Histosram (R*,' graph on Lampirun2)Axesaredrar.vnn thecorrect irection unifbrmscale or2 .95


11/15

t5 (a)

(b)(t)

Correctshapewith trapeziumEFGHHG> GF> E ,F

The measurements accurateo t 0.2angles t all vertices f the ectanglescm (oneway ) and heare90o 1".

K1KINI

f G

F

CorrectshapewithAl l sol id ines

A K B/C

trapezium EFGH , D.4EH andrectangle RITE.Note:JK joinedwith dotred ineHG: DB > GB:HD > EF:AB>!rB:EA>GFMeasurementsorrect o t 0.2cm (oneway )LG ,1F ,18 = 90o+ lo

E


12/15

tso)61) G/ TI

Correctshapewith rectangles MLG and rapeziumBCGF .Al l sol id ines.BM>LM:GC>BI t> CM:GL

Measurementorrect o + 0.2 cm. (oneway ) and all angles tvertices f rectanqless 90"+ Io.

10


13/15

l 6 (u) I _10 ' P IP I

KIKINI

KIKIN1

KIKI KI

0 x 6 0 = 2 - 1 0 040 ' - 30 '10'I20o 607200nauticalmi le.

180" 60 cos30"180" 60 cos3Oo 24A0

15.67 ours

: 750

N1

l1


14/15

[ ,arnpi ran( i raph for Quest ion2

.t'

1 " , ' :L^,"-*--*.-**"*f,.| " . 'i:{'"'*':^-':""'*{

- l ,.i

at

i

. , ' , ii

I

-25


15/15

Graph for Question4ampi ran 2,-al.

ij.::,,,zt'!itI',.iiItI1:i,

,il : -t2;ia27 :1 ,' * ,

.'.-.1'..,,-,""-;,,"..,,,f l , :Ili4li.Itk . : , .t' i ,:t

a

t

t ,,,,tla'i;

l - - i

. i i i f ' , . :. . ' f . " . i .L: I i i : : . . l-l

l : : : i. ...:. .i.. .i ..-..:.:' .-i...i.:-:.:i t : i i : i . i ,j i i i : i

t - - : - - i -: ' - " i - i - - i -: i i I i i - i -i : i l: . i i : : : "r . i . - . - : . . r . ; : . . . , i . .

i i1- l - :^*r -^ l -. : . . ! .i . 2 . i . . - : . -. . . . :. i . . ; ; . l -, : ; : : i . .

Jawapan Percubaan SPM Matematik Negeri Sembilan 2013

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