Kertas 2 Trial Math PMR WP 2011

8/6/2019 Kertas 2 Trial Math PMR WP 2011

1/16

SULIT NAMATINGT,ATA}I3

JABATANPELAJARANNSGPRIWILAVAH PER$EKUTUAI{

PNPERIKSAANPERCT]BAAIYMR 2011MATIMMATICSKertas 2Ogoc. 3r - tam4 -

50f2Satuamempatpuhfiimaminit

1 .JANGANB[]I(A IffRTAS $OALANINI $EIIINGGA DTBERITAIIU

Tullskm natnsdan ruma kplasandflpodannngysng disediakan.Kertassoalsn ni adalah dalamdwlbahssa"Soalandalam bahasa Inggertsmendahuluisoalan yong sepadan dalam bahasqMeloyu.Calon dibenarkan menjau,ab kcselurulranatau sebahsgransoalan ssma afu dalambahasa nggerlsataubahasaMelayaCalon dilwhendaW membaca arahan dthalamanbelakang certas oalan inl.

2.3.

,t.

5.

UntukKegunamtPemertksKodPemeriksa:Soalan MarkahPenuh MaxkahDiperolehI 22 23 34 35 26 27 38 39 31 0 311 3t2 313 4

t4 2t5 3t6 217 5t8 4t9 520 3Jumlah 60Krtas oalanni mengandungi0halnmanercetak

[Lihat hrlamanrebel*hSI'LIT50/l oeol $dkcptaJpNwp


2/16

sul,m 5Afisrilerall quemions.Jawabssnur soalan"

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Cdeulatehevalueof 19 (-1.2) * { une xpno$sheanswersadecimal. [2 marksJ, +rliamgnilai bagi I9- (- I .2)+| ** uryk*pkmJawyansebagairronbarpe pululwt[2mar**lt]Answer Jm,alnn:

2 Calculatehe alue"f t+ - fl-ll*o exppsshe nswersa ractionn ts owesr2 t4 2)term. [2rner*s]

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Hitwry ilaibagi i-(i.];) o* heriimqan sebagaitupecahanatambentuktermudah,Answer/Jarpqpml: l2 markalS

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3/16

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Fbr&xuttltw',Us6 30n

t3ma*sB nmkat

IS{a}Findthsvalu*offrECarinilat O \rrs

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t3M|Gprln*rtl

(b) Calculatchevalue t {.6*{HitWnitai basi t6*rI

Ansnrer/Jlm'dPm'(d)

Solvs rchofthe ollowingincarcquations:furesdttwttryttq persmmt lttwwbarilm:(E) l2*Y*'7

A p + 4(D) p- e=a-

fu$alct lJawrymz(a)

30ll tF gttx* cifilE rlturl SU


4/16

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Diagram inthe&nswerpaco howswoquadrilaterals,fftS andP'Q'R'S',drawnonagrldof oqual quares.uadrilateral'Q'R'S'is he mage f quadrilatoral$RSunderarcflection,OnDiagram , draw hsaxisof reflection.Wdh 5 di wangjawapanmerur$uWwtta stsiempat, QRS anP'Q"fr,'S',angditukis adagrtd segleftrpat stt$yilt g sama esar.Sisiempat g?',f ialah tmejbugtstsiewpatPSRS i bawah uiltupantalantertentu.Pad* ulah 5, Iukispaksl antulantu.

[2madcs]12rtarkal\Answsr Jwapant

DiagramRajah5

lLihst halnm*nscbclah, SULTT

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5/16

Forilxamirrr'tUse SULIT

Answer JawaPan:

Diagram showswo riangles,$IUandS'T'LI'ndrawn nagrid ofequalsquar6$'S;y-A' isthe lnage f$TUunderan nlargemont'frqiak6memmjulrkanduabuahsegitiga,sTUdans,T'I},,yangd'ituktspa;rgt "W; rr;*. S,T,u' ialah m$ bagiSru di bawah ustu embesaron.

DiagramRqiah6

Describen fulIthe ransformationf enlargement'Huraikan elenglmpnyaenielmaanembearan'

5fin

[2 marks[2markah

^{A,J

rU

\r)U \ U'\

T \0 Tt )

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6/16

ST}LIT

Factorisoompletely achof the ollowingcxpressions:Fahorkanwlangkqnyatiap- tiry ungfrrymherifut:(a) 27x-9rtG) 25x2 81y2

fuiswcr/,Fd#Wan:(a)

[3markr]13mwkal[

(r)

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8 Expadoach ftho ollowingExplessioutKenboqfter iry ttry urykapr bertla$(a) 3(.r-?)(h', (m+anl 8lnn

Answcr/,trnryapwt:(a)

pihat tdrmrn sebCIleh1 SULM

[3 rnarks][3nwkalfl

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7/16

t0Fwf;xanrdtgr'tUw SUI,IT 50n

t3mn*s]13n ff*nlil

s Express1. # as single ectionn ts simplestorm.' 3 2m t3marksl- l m - lUngkqkan ;- * sebagai atupecalwtfinggaldalen be*uh ternufuIt[3 nrkal$Answer Jawryan:

Solvcoaph fthc following neqgalitics:fulwaikan iaptlap ketaksffiwe,berlfut(a) h* 4


8/16

ST]LIT 58n

Diagram12 * a multiplobff chartshowinghe numbers f bookssoldovera periodof fivs months.xoi-oh2 ialahpasangan srtapalxngltmg memtrtriukkanttmganbuhty*tg terfintdalamentpohima bulsn.Numberof booksoldBilanganbukudijual

MonthBalan

I I

t2

BoskASuhtA BookB&utuBDiagram12Rajah12

fa/ Completeable12 ntheanswerpace.trcngkaplmnadual12di ruangjaawpan(b) CalculalehediffelsncebetweenhEnumbersf booksA andbooksB soldover heperiodof fivemonths.Hitungbezamtara bilanganbukaA dwtbulwByang erjualdalam empohimabulanitu. l3 n,wksl13marknl$

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9/16

Exwrtiwr's{/re ST'IIT

AnsYYerJawapan:(a)

Tablc12Jaduut12

Table 13 showshc profit mado rom the salssof computers y MutiaraMotors nfive'years.Jafual Ii menur$utJwnuunlungm hosll ualan kompweroleh Muttwa Motorsdalmt empohllmatahunYeartahun 2005 2006 ?007 2008 2W9Plofit(RM)Ketmtunsan(W|l 12000 40000 24 000 48000 28000

Table13Jadual iOn Diagrarn.lSntha answcr pacs, rawa linegrapho represontll thc nfonnationin Tahle13.Use he scale f 2 cm o RM8000on heverticalaxis.Psda Wah 13 di ruffiy jm,ryan tukiskansraf g6ris untukma+,akilkanewuarnaklwnstdari Jadual 13. furmkan sksla 2 em kepadaRMBah| pfu p*ttmen4$ncang. [amarksJ$mwffi

t2 50n

(b)

MonthBaIanNumber fBookfrtlansanBahuA BJanuaryJanuari 80 80FebruaryFebruari 60MarchnIf,c 100AprilAnril 160tllay

Mei40

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10/16

SULITAn vtet Jau,apan

Prof1t{(RM}

13

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2007 ?008Diagram 3Rajah 3

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11/16

ForF,xamitpr'sUse STTLIT14 Simpli$Perwudahlrilrr

3An4

[2muksJlZnarkaltlAnswerJvvapilni

l5 Find hovalueofCarinilai bagi

AnswerJautapmt[3madc]l3 markahl

16Diagram 6showswopolygons,and I.

dolygonRajah 6menunJulckntluapoligon, danII.

2amDiagpam6Roiah 6

GivenhatpolygonI is he mage fpolygon.Find hc scale sedn the ormof I : n'Diberthahau,aoltgon I ialah mejbagipoligonCaristnlaymg digunalcanalambentaft : nAnswer Ja'vvapan:

t2marksl12 ttahl

50n @ ou ttikciptnJpxwP stil,tT


12/16

ST}IJ? ffittt7 Dlagrlm l7 in thearlrwrspacnholvsa squarccBCD rawnonagridof cqualsqutr?swithsidesof I mit.p, X crCY alp hrusmovlngpoin$ tnthedia*rnm.

Rqal, l? dtntoqJawrysn *wrus{ul;hsrsebwh segt mpdsarrrs BCDTnngdlltr#sp& grtd seglempd sana bersbt uttfr.P,X dfrrY ulah tlgotttlh1t*tghergersk elen rSah ttn(a) P is thopolntwhichmovos uchh* ia disence r,om ointl andpointC src ho sam$.'Byusinghe ettorc n the diagraur, tate re ocusofP.P tddr fittkymg beryerah mgm ktadsetjfrv@ adalah &la dwl tt thA dst, tltthc.Dettgwt engwnfrm abjd dalan ?$dt W ryaakm lofusbagiP.

O) etu diagum,rawPafutqsl,ltu, uHsk&l(0 fte locusorthepointjfthat econctanttyunitstour he inslS,lolau agt lttkXymg berguralsnW fuee, fittku senttmafimh 5vriltdarlgarts B,(ir) thc oousor hepoint thatb consndy6rtrdtsrn pointC.Iofusbsgt ttlkYyurgbagerah ryot badw, tltlk n serfrtasderJwdhwtttMttlkc.

(o) Honrco,erkwlth hosymbot for fp foiterucc{onsfthe ocus fXand ho oous f f.setgrwfiya,mfu*ondengmcr'mlol@sfudrilwr agi ewilergilt ohx X dm tohtsYttu t5martsJ15 w*afilllnswxlJar'ryant(a)(b)(t(ii)(c)

B

fLthnt helrmancebcloh$ruT0/l @ rn l{r*cbbrp}rwp

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13/16

ForEx.rcntldr'gUw SULTT r6 50n

[4 marlcs]F ntkahil

18 Usehegraph &prnp*ge ? toansm'erthisunstion'-Crrrr.fu*i,t argrd at na\twt I 7 untuk e,isvrbsoalonni'Tablp8 showshewluesof twovsriables,andHofa function.Jffitat 18nsnun1ukkanilat'nitai&tapambolehrtah,dan , W silau i*r$si

Table18Jndual 8Tlrer*axisand hcparis areprovided n hcgrsphpapcrof pa& 1?'Ps*si-x wr pah;;tt elahdisediatrmadakenatgrqfdt helamsn17,

(a)By usinga scalcof 2 om o 5unib,completc nd abcl hcy-a,tis.Dengmmenggwrakmksla2art kcpda 5 wlt, lerqfrrydm lnhelfuipd$t'y.(b) Based r Table18n lotsll thppoinx on hsgr{phpap*r'Berd#arka'n aduql $, plot s*mua$fk podafunatgrd ttu'(o) Hcnoc, rnw hographofthe function.Seteru^mya,uhisSr{fitngsi ittt

x 0 I 2 3 4 4.5 5v 0 t5 24 2t 24. 20.25 l 5

f0l2 @ ort rtahct!ilnln*twP SUTJT


14/16

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SULIT t7GraphorQuestion8{ir$untuksaalan8

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15/16

FsErmtllbnr'*Uwl9(*)

l8

Diagr"ur19.lshows qua&ilatcmlWXW.Mieh I9.l mew,wtriul:kmsebu.shistenpa Wlm.

Diagram9.tndah 9.Ilvlcssure.XyZ using profractor.Uhr /.XYZ,nenggunakmruvffior.Disgrs*r19.2n*teanswrpscottows o sraigbtincs,EF andFG.Using nly nrlcrandapairof compf,s$s$onsfrustMf,l119,2ulmrumgJwrymrcrnnfut;furr&n gmtsw'trs, FdmFG,Dengan enggwahmembmlsffi ansks ukis ahqi , bins(t) ttrp ineF/f, thebiscctorofBFCi,garisFH,Wg nwrupf,*#t mbalngi duasamd EPG,(it) thequadrilmralEFGlfzuchthatfiff*4 cm.stsi ry EFGH&ngmlreadaotEH = 4 cm,

Fiaenrn 9.2R4iah19.2

ffin

tSmn*$I15ms*afil

SI'LIT

(b)

30n @sllr{r&cipnalm$ry


16/16

l9Diagrasr20 shoruswo right mgfd trinngleo, pfi and i,9f.Pm is a smight line.*o|ah 20 menu4iut*urdun brNodl-egittga ersvdutegahPQRdan RST.PIR talahgwis lunn.

Diagnnm 0Md'20It isgiven hatPT = 3 cm and aryo = 1 .4Dlberi aluwaPT = 3 dst twtvo= !,4(c) Calculntehe cngth,n cm, of JtflHilwrgpw{W dalon cn, hagl RT.([) Find hc valueof cosxo.trwi nllai bagicoa 1

ApswerJawapmt(a)

t3marksll! ntwlraltl

(b)

sFrD rQrn$fiONPAPERKERIAS gOAI,a4NAIWAT

50n O 2onH*ci@rpNwp

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Kertas 2 Trial Math PMR WP 2011

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