SectionA/llahagianA 152 na o / 52 matkrhl ,A.nswer all ... · sulrT 5 1449D SectionA/llahagianA 152 na o / 52 matkrhl,A.nswer all questions in this section. /JauQh semua soQlan dalam

sulrT 5 1449D

SectionA/llahagianA

152 na o / 52 matkrhl

,A.nswer all questions in this section. /JauQh semua soQlan dalam bahagian ini'

The Venll diagram in the ansrver space shows sets P, Q and R such that the universal

set € = PwQr-t R. Onthe diagrarn in the answer spac€s, shade the setof

Gatnb,. r rajuh Yetn di mangjtuapan nenunjukkan set P, set Q dan set R dengan

keo(laqn sel semesla € = P Q Qw R. Pacla rajah di ruangj"wapan, lorekksn pt

P e R ,

P e Q r \ R '13 tnarks /3 markahl

Answer / Jcmapan '.

(al

ILihat sebelahSULIT

(a)

(b)

(b)

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I

6

Using factot'isation, solve the lbllowirg quadmtic equatlon :

Menggtmakan pemfokloran, selesaikan persdm'liln ku'drQtik berikut "

z ( ; " + o ) - t1 lir

Arstver I JcwaPcn :

144912

14marks/4marlcthf

Calculatethevalueofxandof/thatSatisfythefollowingsimultaneouslinearequations:

Hitungkan nilai x dan nilai y yang memuaskatl persamaan linear serentak beriktd i

4 x - y = 3

2x +3Y = -7f4marks/4markahl

Ar'swer I JdY)aPqn :

ILihat scbelahSULIT1449/2 TOV 2009 @ Hrk cipt! JrN'r


SULI' I ' | 449n

13nark/3morkahl

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Diagranr I shows a right prism rvith a square base PQRS. Trapezium PQBA is tlte

urrifom cross-section of the prism. The rectanglc lD.tP is a vertical plane with DS =

l0 cm.

Rajah 7 menrmjukkan sebuah prisma tegak dengan tupak segiempat sama PQRS-

Tiapezium PQBtl attalah keratan re tas serogam- Segiempat tepqt ADSP ddalah

satah tegak dengafl DS : 10 cn.

(aJ

(b)

18 cm

Dtagraml/Rajahl

Name the angle between the piane DCP and the plane DCRSNamakqn su(lut di antara satah DCP dengm satah DCRS

Calculate the angle between the Plane DCP and the plane DCX,S.

Hitungkan sudut di qntora sqtcth DCP dengan satah DCRS-

Answer I Jmtapan :

1,149/2 TOV 2009 @ Hrk cipt, JPr.rr


SULIT t449t2

15marksl5markah)

In diagram 2, ,4.8 is parallel to J-a,'(is C and D are on the r-axis and /-axisrespectively. ,4D is parallel to BC. The gradient of straight line lD is - 4-

Find,

Dalan Rajah 2, AB adalah selari dengan pal6i-:c. C dan D adoloh dua titik masing'

masing pada pal<si-x dan paksi-y. Kecerunan garis lurtts AD ialah - 4.

Cqrikan,

(a) the value ofk,nilai k,

(b) the equation of the stmight linelD,persamaan garis lurus AD,

(c) l,-intercept ofthe straight line BCpintas(m)) gqris lurus B.C.

Answer I Jawapan :

(a)

(c)

(b)

ILihat s€belahSULIT

B (2,4)

Diagram 2 / Rajah2

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SULI'T

Diogrrm 3

/ ' U t r ( r i . r t r ' t u r r t r r r J Z I ( ) ( - .

t ' t t t . . , , , / r - O ̂ m l ' - , / l n ( - -

. 1 ) -I L l i r r r ! / { f r l / ( r : T : - |

7 '

I tlt/-l

16 ntcu'ks I 6 nttn'ktitl

lLihat scbelahSI.JI, I I '

6 In Diagraur 3,,1/JCl aDd l '5/l are arcs oftrvo cilc:lcs, both $'i l lr contrc O.

Dtlou )ltluh 3, ,,11J(' lot PSll ioluh lengkttk bttgi dutt ltulalon yotg kqlwr thrrutyo

berpustt di Q.

I Rujuh 3

1 3 5 " .

r i 5 " .

Calculalc,

Ilittutgktn,

(") thc pcrimeter, iu cn, ofthc rvholc diaglant,

pcrit elcr, dalam cnt, .seluruh rajtit.

(b) the arca, in cmr, of the shadctl region.

Itttts, tlc/an ctn), futu,trsun lung l.re ttrek

Arl'itver / .hnt,apan .

( a )

(b)

L

I l + , ) / l ' l O V l 0 f ) ' ) D l t r L ( r p r r J l ' i l I


l 0 | 449t2

'l (tr) Conrplete thc conclusion in the follolving argument:Lengkapkon kesinpulan dalan hujah berikul :

Plenrise I : All hexagons have six sidesI'rernis I : Semua heksagon mempunyai enom 6isi

Prenise 2 :, -Ba'Dtf is a hexagonPremis 2

Conclusion /Kesimpulan :

AIICDEF ialah heksagon

(b) State whether the following statement is true or false.

Tentukan sqtrte qd.r pemyataan berikut benar atau palsu,

(") Write dolvn two implication based on the following sentence :TulisAan dua implikasi daripqdq qyat berifun :

Tan 0 = i i fand on ly i f0=45"

Tcn0= | jika dan hatryujika 0 = 45"

(l) Make a general conclusion by induction for a l istof numbers4,7,12,19, ...which follows thc following pattern

Btktt sdtu kesintpuldfi umrnt secqra arLthan bagi senarai nombor 4,7,12,19,... ynng nrcngikl pold berikl:

4 : ( 1 ) " + 3

7 : ( 2 ) ' + i

1 2 : ( 3 ) ' + :

:: lil lAnsttcr,/.lLrvrrpcut :

(rr) Concltts\on 1 Ke.simpulan .

l7 marks / 7 markah)

9 > 1 1 a n d 4 ' : 1 6

(c) lrnplication )/ Intplika.si 1 :

lntplication 2l lntplikasi 2 .

(d) Conclusiot / Kesinpulun.

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SUI,IT t1

'EEEtrtrtrtrtrtrtrtrtrtrDiagranl/Rujah4

(a) Thirteen cards aboye are put in a box. A card is chosen at random.Tiga belas kad tli utas diletakkan tlalam sebuah kotctk. Sttlu kad clikeluttkcutsecara rawak.

Find the probabiliLy thatC arikan ke b aran gka I i an

(i) The card is T,KaJ iru ial,th T,

(i i) The card is a vowel.f,ad tersebttt ialah humfvocal.

Hous ing AreaNumber of Studcnt

Bny Girl

Taman Bulutr 8

Taman B in t rn l 1 3

Tomrn Matlhari 5 4

T a b l e l / T l b l e l

(b) Table I shows the tlurrrber ofstudents in cerlain class rvho live in TamanBulan , Taman Bintang and Taman Matahai.

Jarhurl I tnenunjukkan bilangon pelajar tlctlam keld:; lerlenht yqng ti ggal diT'trman Bulan, Ttruan llintang clan Tamtrn lulqloharL

(D A student is picked at random fron'faman Bulan. Tho probabiiiry1

that the student is a bov is -. Find the valuo of-r.' 7

Seorctng pelajar dipilih set:urq rdwak dari Tontdn Rulqn.

Keharcngkalitrn buhctwa pelajcrr irtr lelaki nlah ! . Cari ttilui bttgi x.

(i i) 1'rvo nerv girls moved to Taman Bjntang. A studenl is picked atrandon lrom the class. Find the probability that the student is fi'omTaman Nlatnhari.

Dua peltlor perempuan bant telah berpindah ke Tamat BfutungSeorang pelujdr dipilih securQ ravdk dctri kells tetsebfi. a'arik mkebarangkalian pelLiqr tersebul itlah dari Taman Motuhari.

16mark l6narkah)

lLiha{ seb€lnhSTJLIT

l - l jq/ l TOV 200q O H,l, ( ipt, .r l 'Nr


SI.]LIT t2 1419t2

Answcr / Jcwapan:

I (n) (i)

(iD

(b) (D

( i i )

lLihet scbcl:rhSUL I1'

I ' l {q/: - tOV

2009 O lIr k ( iprr .n'Nr


1 3SULTT

DiagamS/Rajah5

1449D

15narks/5narkahl

In Diagrdm 5, 0 is the origil ald ,4BCD is parallelogram. Given that the equation

of the s t ra igh l l ine AB is2y + x=15

Dalam Rajah 5, Q adelah 6ql.!n, ABCD adalqlt sebuah segiempat selafi

Diberi bahowa persamaan garis lurur AB ialah 2y + y= lJ

D(-s,2)

Find

Cqrikan

(a) the gradiert of straight line CDkecenrnan garis lurus CD

(b) the equation ofth€ straight line CDpersamaan bagi garis lurus CD

(c) x-intercept of straight line CDpintqsan-x, bagi garis lunc CD

Answer / Jawapan:

(a)

(b)

(c,

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10 On the grapir in the answer space, shade thc regioni n e q u a l i t i e s / > - Z r + 8 , ; u < 4 a n d 1 ' 3 8 .

Pada graf di nung jowupan, Iorelckn ratlttlu ,cfigketttk;anaan y>- 2x + 8, x < 4 dan 1, 3 3.

1 4 1419t2

which satisfies thc thrce

nentuaskan fu Iiga-tig.!

l1 nurks/4 nrcrrkahl

Answer / Jowapan '.

/ = 2 r + S

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1 5SULIT t449n

Diagranr 6 shorvs a composite sol:td. ABCDEFGH is a right prism with trapeziumBCHG as the uuifonlr cross-section, FKGHJE is a half cylinder rvitb diameter 7 cm.'fhlry arejoiDed at the rectargular plane FGIIE

Rojah 6 menunjukkun sebutth gabungan pepeial. ABCDEFGH ialab sebwh prismategak dengon tr.rpe.ho1l })CIIG sebagai kerqt.tn rentas set'ag.lmnyo. FKGEJE ialahsepon& silinder dengan dianteter 7 cn. Kedua-dua pepeial iri bercantum paddsatah segie lpat tepat FGtlF^

1 l

1 0 c m

Dtagran6/Raiah62J

usrt: l I : - . cr ' l lct l lale- 7

22l lct t : , t tnakon ft = -.hi lul t

7 '

(a) the volume, in cm3, of t lre halfcylinder,

isipatlu, tl.iant cm] , bogi sepanrh silinder itu.

the volume, in cmr, of the composite soiid.

isipudu, duLun cm3 , gabungan pepejal itu.

(b)

fbmarks/6morkahl

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SULTT t 5 | 44912

Answer / Jowapun .

l l (a)

(b)

ILihat sebelahSULIT

1.1{9/2 TOV 2009 O Hrk crpta JPNr


suLll' t 7

Scclions B / iohrtgian ll

[48 norks / 48 markahf

| 419t2

Ansrver irll questions frorn this section. / J.nr.r, semur soolon claripada bahagian ini.

12 (a) Compiete Table 2 inthe answer space for the equation y=3+7x_2x? bywriting down the values of_y when -r = -2 and r = I

Lengkupktt Jatluol 2 di nr cng jawapan bagi persamaan ! =3 +7x,2x2detryyan mcnulis nilui-nilai y apfiila x = *2 dqn x = l.

12marl<s/2narkahl

(b) For this part ofthe question, use the graph paper provided on page 19.You may use a flexible curve rule.

Uttuk ceraian soalrtl ini, gun.tkan ke as graf yang disecliakan padahalarncm 19.tlndet boleh menggunakan penbaris feksibel.

By using a scale of 2 qm to I unit on the x_axis anrl 2 cm to 5 units on they-ax is , d raw the graph o f y=3+7x-2x? fo r -3 . -x .=5 .

Dengau menggunakan ;kala 2 cm kepada I unit pada paksi_x dan 2 cmkepadu 5 unit padu paksi-1t, lukis graf y=3+7x_Zx2 bagi _33x35.

[4marks/4 narkah)

(c) Irrom your graph. find

Ddriptrcla grctf antla, carikan

(i) the value oi;r wheny: -25 ,nilai x apabila y: -)J ,

(i i) the value of,y wiren :r : 1.3n i lo iyapab i la x :1 .3

12marks/2markahf

(d) L)rarv a suiiable straight linc on your graph to find all values ofr rvhichsat is ry the equar ion 2 . t , -3 . ) r -13=0 fo r *3S_r35.Stato these values of ,r.

Luk[s sttl garis lunrs yongl senni patkt gTaJ erndtt roiuk mencai semua nilLtix vang nemuaskon pers.otl{)an 2r:-3J-13 =0 untuk -33xS5,Nl,ataktn nilui-nilai x itu.

f4markt/J markahl

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SULIT l 8 1419t2

ILihat sebelahSULIT

Answer /.|at'apur:

rz (a)

Table2lJadual2

(b) Refer graph on Page 19.

Rujuk graf halarnan )9.

(c) (j)

( iD

x -3 ,a - l 0 2 3 4 5

v -36 -6 I 6 - l -12

l , ld9l2 TOv 2009 O I lrk ciptr JP\r


SULIT 1 9

Graph ftrr Qucstion 12Graf untuk Soalan 12

| 419/2

U,ihat sebelahSULIT

I.1.1912 TOV 2009 O Itrt{ (tipt!,tl'\'l'


Ure

SULIT | 149tX

13 The data below sholvs the monthly expcnditure, in RM, on handphone for 42 studentsin a college.Data di b.twah menunjukkan perbelanjrum bulqnan, dalum lWI, mluk telelon birrbilbagi 12 orang pelajar sebuah kolej.

20

37 40 38 49 4t 49 42

49 48 55 53 45 36 44

30 s0 56 59 42 39 48

48 34 55 31 54 58 50

4 5 4 / . 5 4 5 1 5 8 3 4 3 5

43 53 47 35 44 51 45

(a) Based on the data, complete Tables 3 in the answer space.Berdasmkan data itu, lengkapkan Jadual 3 di ruang jowapan

14 marks /4 markahl

(b) Based on the table in 13(a) , calculate the estimated mean of monthlyexpenditure on handphone.Berdasarkrmjadual di 1j (a), hitingkqn min anggaran perbelanjaan bulananuntuk telefon bimbit

[3mNksl3markah]

(c) For this part ofthe question, use the graph paper provided on page 22.Untuk ceraien soal(m ini, gwrakan kertas grafyang disediakon pcdahalaman 22.

By using the scale ofz cm to RM 5 on the horizontal axis and 2 cm to Istudent on the vertical axis, &aw a histogram for the data.Dengan menggutakan skala 2 cm kepada RII 5 pada palai mengufuk dan 2cm kepada 1 orang pelajar pada paksi mencancang, Iukiskan satu histogrambagi data itu

13matksl3markah)

(d) Using the histogram from (c), draw the frequency polygon.Dengan menggtmakm histogram dari (c), lukiskan satu poligon kekerapan.

12marksl2markahl

ILihat sebelahSULIT

144912 TOV 2009 @ Hakciprr JPNr


SULII' 2 l 1449/2

Answer/ Javopan:

Monthly expcnditure onhandphone (RrV)

P erb e lanj aan bulanan untuk

fTable 3 /Jadtnl3]

(b)

(cl

(d)

Refer gaph on page 22Rujuk grcyfpuda halaman 22

ILih:rt sebelahSUt,IT

ld. l9l2 TOV 2009 O l lrk ciptr JPNT


: iU l , : f 22

Graph firr Question 13Graf utttuk Soalan 13

t149/2

l l- ihrt seb€l.rhSULIT

l ; { ' : i . . 1 { ) ! - . r l { , , r , r t . , I r . r , - , i ' 1 , ;


SUI,IT 1419t2

14 (a) TraDsfg nation P is a reflection in the liDe.l' = 3'

Transformation T i, u trunrt"tion [] I .\ .1 , ]

Transformation R is a clockwise rotation of90" about the ccntre (6, 0)'

PenjelmaanP mewakili satu pantulan pada garis luru; y = 3'

r 4 \Perjelnttan'l mewakili salu translasi | , l'

\ r,/Penjelmaan R mettakili satu putaran melalui sudut 90" ikut ctqh iam p't'ld

pusat (6,0).

Find the coordinates ofthe image ofpoint (2, 2) under the following

. transfomations:

Carikan koorditlqt imej bagi titik (2,2) di btrwah penjelmaan berikut:

( D P(iD TP

(iiD RT

15 narks / 5 markahl

Answer / Jawapan .

(a) (i)

23

(iD

( i iD

IL;hat sebel:rhSULIT

l-tJ9/2 TOV 2009 O rlrk ciDb IPNT


S I J I , I I ' 24 | 149 /2

(lr) Diarlam ? shorvs threc quadriltttcrds, EFGIl, KPQI? antJ XLlulN' dtarvn on a

Cartc,si ln plane.

Rtjtit l tnatrunjukkttn tiga \egie n1p4t, LFGH, KI'QR dun KI-MN, dilukis

ptt d t t,t uttl u s trl ult (. ot tes o t.

t l

0 2 4 6 8 l0 12. l'+ .\

Dingrtrn i ll?aioh7

(i) K,i'Q1? is the ifiage o | -/r'1;CiFI uncler transfo natidr U.

KI'QR iulah itttcj bui:i ElGfl btuah penjelnuunlJ-

Ilescribc i it f l l l thc iranslbrlnation UII Lt ti IiLu s d c n gLo p nyu p e uj e ltttttu t U

(ii) r(1..'llV is the imagc ol'KI'Q-R under transftrrrnation V

KI.IIN ioluh inej hugi KJ'Q1l bc:tit penielntutn Y.

I)t 'scribc irt t 'Ltl l thc lrlrnsfortnation Vl lt.tllliktttt .\(.!.i1:1kLPt1i'!t It liel TrrnV-

(i i i) ajivcn thal lhe erca o1 1he quachiiali:ni K/IIV is 92 ttnitr ' calculate

ihe at'crt ofthe clLrltcirilatcral tlt}ll.DiitL:ti hahLot:o Ii,t.s sisicntpot Xl'lvlN iukth 92 unif, hitwtgkon luos';i.stuntptt llIt(ill.

f ,1 nttrkt ,/ 1 narkttltl

ILihat sebclahSULIT

l,+

1 0

fuI

,tl o

II

^1

P

IL

tr

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l l J 9 ' 2 I O V . 1 0 0 9 ( : I I x ! ' ( i r l r l l ' \ ' l


SULIT 1449t2

A\s\ver / Jat\t,(tpdtt :

14 (b) (D

( i i )

( i i i )

ILihat sebclahSULIT

1449/2 TOV 2009 O Hrk cipir JPNT


1449D "IOV 2009 A Hak cipta .lPNr

26 1419t2SULIT

15 'I'be clata in Diagran 8 shows the nrark, of40 studeds in a Mathematics quiz'

Dola tlalarn Rajah 8 nenuniukkai matkah sqtu hiz M1lem'ttik bagi '10 orang

oelttiQr

A 20 2s 23 33 30 28 2'7

2 2 2 8 3 4 5 4 3 1 4 2 4 1 8

1 2 g 3 6 1 0 8 4 0 2 3 2 8

18 22 ' � l 32 l l l0 25 l '7

36 39 33 22 18 19 15 28

Diagram8lRaiahS

(a) Based on the data, complete Table 4 in the ansrver space

Berclasarkan data ini, Iengkapkan Jadual I di ruang jawopan

14tnarksl4markah]

(b) For this part ofthe question, use the gnph paper provided on Page 28'(Jntuk c;raian soalln ini, guna kerlas grafyang disediakan pada holaman

28.By using the scale of 2 cm to 5 marks on the horizontal axis and 2 cm to 5

students on the vefical axis, draw an ogive for the data'

Dengan mengpgnakan skata 2 cm kpoda 5 markah pada paksi mengufuk

aanl c- tepida S pelaiar pada paksi menconcanS' Iukiskan scttu ogif bagi

data tersebut.15marks/5markahl

(") From your ogive in (b)Daripada ogiJ anda dalam (b)

(D calculate the mediankirakan median

(ii) find the interquartile range,cari iulat qntarq hqrlil

13marks l3markah)

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suLt f 27 t419n

Atswer / Juwttpon :

ls (a)

Table 4 / Jadual 4

(b) Refer graph on page 28.R4juk grafpadu haluman 2t.

(c) (D

( i i )

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I

Class IntcrvalSelan! Kckts

Uppcr 13oundarySetnDodon Ales

FrcquencyKekeronan

Cumul:rt ivc FrequencyKekeraoan Longgokan

0 - 4

5 - 9

l 0 - 1 4

1 5 - 1 9

20-24

2 5 - 2 9

30 -34

3 5 - 3 9

4 0 - 4 4

I J. l9l2 ' IOV

2009 O rik cir.rx JPNT


SULIT 28

Grrph for Question l5Grnf untuk Soalan 15

NND OF QUESTION PAPER / T'NTAS SOALAN TAMAT

t 449t2

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SectionA/llahagianA 152 na o / 52 matkrhl ,A.nswer all ... · sulrT 5 1449D SectionA/llahagianA 152 na o / 52 matkrhl,A.nswer all questions in this section. /JauQh semua soQlan dalam