trial mate pmr 2011 kelantan paper 1
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50/SULIT50/1MatematikKertasOgos 01II t/d1am
Nam a :Tingkatan :
JAI}ATAN PI'I,A.IARAN KII,I,ANTANDENGANKERIASAMAMAJLISPENGETUASEKOLAHMALAYSIACAWANGANKT'I,AN'I'ANPERCUBAANPENILAIAN MENENGATIRENDAII20rl
MATEMATIKKERTASSatu arn imabelasminit
.JANGAN UKA KERTASSOA[,AN NI ST'FIINGGAIBI'RITAIIUt. Karlrtssocilrut tt i uclttluhclukmt tlvyiboltoso'2' stttrlttrt lciltnt Brthttsrt nggeris nrcndrthrtluisotilrm ))utg seltutlrm lulemtBuhostt Meluvtt'
J. Crtlortdikehendttki nrcrnbru:o nrtklurntficli hrtluntm belctkungkertus srtulun ini.
Kertas oalanni mengandungi2balananbercetaftILiltut sebelult
Iv lA' l ' l - l -l P-PMl{ 201I
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SULITIlIA'I'H'tll\lA f lCAl, FORlvl it,ABTTUMUS{A:fEMATIK
Tlre trllou,ing ormulaemay be helpful n answeringhc qr.restions.l'hesymbolsgivertare lreonescoillmonlYused.Rttmu,s-rumuserikut tnlelrmemhunturndamenittu,alt oulutt.Sfprbo/-.sintboltrngtliberiqclo{ah{Ittgbiasarligun*kan.
ITELATIONSPERT{ATT,AN| 0 . ' n , i l " = ( l t t t + " t l
? i l ' n , ^ c l t ' = [ I n ' - o
3 (a*)n = d" "
Distirnce arak * rl(xtMid P
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SULITSHAPEANDSPACEfiENTUKDANRUANG
1 . Aren of rectangle : length x rvidthLutrssegienrptttepill .- punianq I lebur
2' Area of triangle E + x base * treiglrtt tL u q s s e g i t i g a = ? x t a P c t k x t i n g g i3. Areaof parallelogram * basez heightLuassegiempat elari : tupuk 'N i'?ggi
14' Areaof trapezium = ; x surnof parallel idex height
L,uusrapeziunt = l x hasilamhah us sisiselari , ring,giL5. CliruurnL'erencef circle = v 6l "" 2 n rLilita.nsulalan = v ( "" ?'t6. Areaol 'c ircle = , , 'Luashultttrtn= ni'7. Curvedstrfaceareaof cylinder :r 2 tr rhLtms ertnukttunme'lengkungilincler 2nit
8. Strrface reao1'sPhere arc'
l.uasPermukuan fera * 4o.i'9. Vgltyneof right prism : cr(lss ecLionirlrea x lengthtsipacluprismu egnk = luaskeratan entus x' paniang10. Volr.rme f cuboicl = length x width x heightlsipadukuhoid = Tsaniang lehur x ttnggiI 1. \IPtume .r1'Ylincler = 'r'}hIsiPadu silinder s itjlt
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ILihat sebelahMATH 3. I P_PMIT 0I I0/ l 2o l MPSM
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SULIT12. Volutrtc of cone
Isiltadu lwn
Arc length15rcuilffirrce|Lt:!!i!y${nstuk[,i{itan lsultttun
Area of sec:tor.,Jrta niGTeLuussektorI.uasmtan
Lrexe reai "t height/urr.r apak x tinggi
3$lt l-t'qt*:,1-q.il :$lt_t3(r0".S\dutp-ltsutJ{:0o
Srgle sybterTjgd.t ce{rtre360'.f:y,kt.t::::g:360"
i.il'ea rf'nitjerctItto,vol$rk
50/lI r ,= *-/rr*hJ
t ^' * : l tt L I I
l at l Volurne :f sphere = * -'.}ls'ipurhtsl'era H "1nt'Volumeo{'r'ight 1'rarnidx ilsipadupyrermiclegttk :rl I
1 4 .
t 5 . Snmol ' interior ngles f apolS'gon r:: (n *2) x 180"[-lasi! amltuh udutpedalamun oligon : {n *2'l x l80o
1 6 .
t 1t l .
I 8 . Scale actor l'aktorskata" : 'PA'PAs P / 'H & l x1 9 . Area tr{'inrage{,t.ttt.smej
5 0 / l 2 o l t M P S M MAT't. l _ P _PMR20 1
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sul.IT -50/1 Roundoff 419 547 to the nearest housands
Bundar 419547 Repadaibuyang hampirA 410000B 419000c 419 509D 420 000
60% of 30 students n a class are boys. 12 at the hoys andwatches.How manystudents n the class wear watches?
of the girls wear
60%daripada 0 arangpelaiardalam a{uka/asadalahelaki'12 orangpelaiartetakian I daripada elaiarperarnpuanidapatimemakaiam tangan"Eerapauramaidatarne/as ersebuf angmemakaiiamangan?A1 08 1 2c 1 8D 2 2Diagram showsa sequence f primenumbers'Rajah rnenuniukkanuatu rutan ombor erdana'
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T h e v a l u e o f m + n i sNi la ibagim+nialahA 8 88 9 0c 92D 9 4
Given hat P = *2 andOiberi ahawaP=-ZA 6 08 2 0c *60D *20
Diagram1Rajah 1
g = 5 , find he valueaf P2 Zq - S)danq = 5 , cari nitaibagiPt tzq - S)
ILihut sebelohMATH 3_ I P_PMR2T)I(Y l 2o l l M PSM
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SULIT5 Diagram shows ournumber ardsP,Q, R and S.Rajah menuniukkanmpatkad nomborP, Q,R dan S'
I 4.as-l r -os
l le?-lDiagrarnRaiah2Thecards hathave hedigit5 with he samevalueareKad angmampunyainilaiyangamabagidigit ialah
A P a n d SB Q a n d $C R a n d sD P a n d Q
Lilianmake240 rosses roma ribbon.Shesold * of the rosses shgaves heremainingo her iiends.calculate,;; *r*nt"g*l thatLiliangaves o her riends.Lilianmenggubah4Abunga os daripada eben,diameniuataaripada bunga4
ros tersebut,bakibunga os fensebutdibahagikankepada akan'rakannya. iraperatusbunga osyangLilianberikankepada akan-rakannya^A. 25B. 60c. 75D. 18 0Auni requires2820 cm of cbth to serry trousers.Find he lengilh in metor'ofcloth eguiredo sew15 rousers f the samesize?Aunimernerlukan arn sepanjang2820cm bagi meniahit helai seluar.Kirapanjang dalam nreter, ain ang diperlukan agimeniahit 5 helaiseluar engansaizyang sama?A 4. 78 4 7c 474D 4700
a
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MATI{3_I P._PMR OI
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SUI-ITI In the Diagram3, PQRSand JKLil4are sguare.
Aabm raiah 3, PQRS dan JKLM talah segi empat sama'
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ILilut sehelahMA'l'H 3_ l t'_PMl( 2tll I
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Diagram3Rajah3
The perimeterof the shaded region isPerimeterkawasan yang bartorek alah
A 2 A8 2 8c 4 8D 6 0Which of the followfngpair of coordinntes form a line whbh is parallel to y-axis?Antaraberikut, pasangan koordinatyang manakah membentuk salu gan's yangselari dengan Paksi-Y?A ( 3 , 4 ) , { 3 , 8 }B ( 4 , 4 ) , { 8 , 4 }c { 5 , 5 ) , ( 6 , 6 )D t -2 ,2 ) , (2 , -2 \Sirnpliff2' x42 x82Permudahkan 2' *42 *82
A. 24'B. 24+rc. 21ArD. 210 r
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oSTJLIT1i Table 1 shows the number of fish caught by 30 competitors in a fishingcompetition"
Jadual1 menunjukkanbitangan kanyang ditangkapaleh 3A or6ngpeserla dalamsatupertandingan memancing
Nurnberof fishBilangan ikan 1 2 3 4 5Number f competitorsBilanaan eserta 2 p 5 6 BTable 1Jadual 1
The numberof competitorscaught3 fish and less i*Eilanganpesefta yang mendapat3 ekor ikandartkurang ialahA . 58 . 9c . 1 1D . 1 6Diagrarn4 showsa circlewitfi centreO.Rajah 4 menuniukkansebuah bulatanberpusaf di O'
cDiagram4
Rajah4Given hat AB = 16 Cmand OD = 6 cm , find the area, n crn2 of the circle'DiberibafrawaAS = 16 cm dan OD * 6 cm, cari uas datamcmz, bulatan tu
A 10nB 36nC 64nD 100rr
1 2
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STJLIT{3 Diaglarn$ ehowsa peniagon.ABC and EFGare straight tnes'
Find he valueof x.Rajatr5 menuniukkan ebuah psntagon. ABCdanFFG adalahgarislurusCarinitaix.
c'Diagr*m 5
Rajah5A. 120&. x30c . 180n. 30 0Giventhat: s , t * 2 : 3 : 5and *s ! 16. indthe alue f +Diberi l s : t = 2. 3 : Sdanf*,$= 1S.Canni lai agi + t
{5 Diagrarn ls a number ineRa,lah6 ialahsualu gan$ nomhor
P - 9 - 3 ( )Diagram6Rajah 6
Find he uatueof Q * P =Car in i la iQ*F=A - 1 8B - 1 2c 1 2D 1 8
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ILihut sebelultMA1'H 3_ I '}_f ' ,N{ l t(} l
A. 1 6B. 48c 5 6D. 64
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SULIT 50/{6 Given hat 12m* $ a 9m + 3. Findthe value of m
Diberi 12m 6 = 9m + 3. CarinilaimA 3B 1c*1D-3
17 Diagram 7 shows a circlewlth center 0 and the radius s I crn.Rajah 7 menunjukkan sebuah bulatan berpusatdi O dan jejari bulatan itu alah I cm
Diagram7Rajah 7
Calculate he srea in cm2of the shadedregion.Kira luas kawasanberlorek dalam cm?.(Use/Gundt[ = 3.142A. 8.38B. 41.89c. 33.51D. 167.57
{8 Table2 shourshefrequency f goalsscoredduringa netball ompetitionJadual2 menunjukkanekerapan agigol skardalamsatuperlawanan olaaringI umoei're*r"-T*;--l*-;;*T**t-;; -T*;-ltE i lanQanqot I I I I I iN . . . . . . . . . . . . . . . . . . . . K . . . _ . . . . . x . . . . . . . . . - _ - . . . . . . . - . . .lFrequency I o I s I I i z i r i'"6?-tre!?p*r**----L*J -: I : i : -i -- - ITable2Jadual 2
Medianbagidata tersebut alahThe median isA 3B 5c 1 1D 1 2
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IvtAT'l t I i ' PMR 20t I
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SI I,TT19 Diagram shows circlensidehe ight-angledriangle'Rajah menunjukkanebuah ulatan idalam ebuah egitrga ersudutegav
18un
G 22cm HDiagramB
RaiahGiven hat he radiusof a circle s 7 cm,FG = 1Bcm andGH
= 22 cm'Oi1ririieiuributatantu ialah7 cm, FG = 18cm dan GH - 22 cm"Find he area n cm2of theshaded egion'Cari uaskawasanberlareh alamcmz'( use/guna t =
A 4 48 5 6c 154D 198
20 Diagrarn showsa contructionsf angleRaiah9 menuniukkanatupembinaan udul
A ADiagramRaiah 9
Find he valueat ICABCarinitai {CABA 60 "B 45 'c 30"D 150
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ILihat sebelahMATH 3_ I P-PMR 2O I
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S{ I ,TTZ{ In Diagram 0 QRS s a straightineandPQR san equilateraltriangleDalamRajah 0, QRS alahgan'surusdanPQR alahsegifrga amasisi
Diagram 0Rajah1AFind he valueof "/-.Plt'fCarinilai IPRT4 4 4B 6 8C 7 6D 128
22 In diagram11 , OP'Q' is the imageof OPQ underan enlargernent.D4am rajah 11. OP'Q' adalahrmel bagi OpQ dihawah satupembesaran
Diagram11Raiah11Findthe area, n cm2,of the shadedregionCan luas, kawasanberlarek,dalam cm2A 18 4C 8D g
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SI.JLIT33 In Diagram 12,KL, MN and RS are straight ines.
DalamRa.;'afi12 , KL,MN danRS r,aialr ns lurus
Diagram 2ftaiah 12Find the valueof xCari nilaixA 1 5s30c45D S 0
Diagram13 , shows he graphof a certain unction-Ralah13 . menuniukkan raf bagi satu fungsi tertentu-
Diagram13Rajah13
The unctionsFungsitu alahA Y - x + 4B Y - x * 4c Y ' = * x + ' 4D y = * x * 4
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ILihat sebeluhM A 1 - H 3 l P t ' M l l 2 f i l l
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SULITg5 Table shors he nformationf he ravellingffourcarsJaduat menuniukkanakturnatriatananbagi ebuaft ereta
Tabte3Jadual3Basedonthisinformation,whichstatementisFalse?Berdasarkan aklumafersebut,pernyataanangmanakah alafi?
P and$ are ravelbYa samespeedP danS be4gerak engan aiu yangsamaR is ravelthe astestR bergerakPalingaiuO is travelthe lowestQbergerakPalingPertahanThedifferencesbetweenspeedofRandspeedof$is15km/hperbezaan iantara etajuan dan kelaiuan r'alah 5km/h
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Simplifyof (3n + 5)* (2m+ +lPermudahkan m+ $)- 8n+ el
A m + 9B m + 1C rn*1D m - 9lf 10 * 2x < 4 ,a Possiblevalueof x isJika 10 -2x < 4, nilaiyang mungkin bagix ialah
A - 4B * 3c3D4
I 450/l 2ol MPSM
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MAT'H 3_ I P,-PMR2OI
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SULIT28 Diagram14 , showsa regularpentagon, ABC s a straight ineRajah 14 , menunjukkan sebuahpentagon sekafa,-A8G alah safu gans lurus
Diagram14Rajah14
Find he valuesof x and y,Carinilai bagix dan y,A x = 7 2 , y * 3 SB x = 3 6 , y * 7 2C x = 3 0 , y = 6 0D x = 2 5 , y = 6 5Diagram15,sho$rs n equilateraltriangle BCRajah15 menunjukkan sg,Wa sarnssw ABC
Diagram15Rajah 5To cpnstructa locus of P such that it is equidistant rom lineAB and lineAC is thesame as constructingBagimembina tokus bagi P yang berjaraksrna darigarisAB dan gans AC adalahsa/??aengan membinaA. Angle bisectorof I ABCPembahagfdua sarna I ABCL Circlewith centre A and radiusAB.BulatandenganpusafA dan ieiari Afr,C. Perpendicularbisectorof line HC.Pembahagi dua sarna serenT'angans 8GD. $traight line rornpointA to line BC.Garis lurus dari titikA ka gans 8C
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ILilutt sebelethM A ' I ' H 3P P M l r 2 0 i l50/ 1 20n MPSl\ l l 5
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SULIT30 Diagram16, showsa cube'ftalafr 16, menuniukkansebuafi kiub
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Diagram16Raiah 6which of the fotlowingnets is the possiblenet for the cube in Diagrarn16'yang martakahui niarabenlangan-iiriiut merupakan enfang n yang nrungkitibaginiundalam Raiah16
A-
B.
c.
D.
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SULIT31 Diagram17 showsa sPhere
Rajah17 menuniukkan wbuah sfera
Diagram17Raiah17
The total surfacearea,of he sphere s 154 cm2.Jumlah luas permukaansfera alah 154 cm2'Find the value of Y.Can nilaiyr r r l| ' L A II tt.St'tgltt'il|It = ; Ii t JA 4B 7c10D12Diagram18 , showsa pyramidand a cuboid'Ralah1B menunjukkar sebuah pyramid dan sebuafi kubold.
A/!l \,l.,il---)/ : ' : l , / lr-+r lu*| .:' ' '---J1 . . ' | , /V-J/Diagram18
Rajah18lf the pyramidhas a volume of 80 cm3,and a cuboid has a base area of 40 cm3.Calculate he heightof the whole solid.Jika isipadu piramid ituB0 cm3dan luas tapak bagikuboid iatah40 cm3-Kira tinggike selu u han PePei l fersebl.rf.A 5B 6c 1 0D 1 1
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ILilmt sebelahMAI 'H 3_ l P_PMl t201I
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A 3B 4c 7D B
34 Table4 shows he ternperatureor fourcountries na particular ayJaduatrmenunjukkanuhubagiempat uahnegarapadasuatuhari ertentuCountrY femperature ( C)
Tabte 4Jadual 4
STILIT33 Astraightinewithhe r.rnction* 2x +2
o f P i sSafugans urusdengan fungsiY =2x +2
Vvhichcountry is the cotdest on that day?A/agara yang manrakathaling seiuk pada hari berkenaan?
A OB PC ND M
3m'n 4PSimplitY,n " lSffipermudah*an!* .!!-;2p l1mn'
tn30 n,1m)r r?r5nt?#{ ".3Opnrn2
passes hroughpoint ( 3, p ). The valuemetaluitttik 3, p )" Nilaibagip ialalt'
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1 8
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SULIT38 In diagram 19strapht lines
Dalam rajah 't9ialah gans furus
50/FQT and QRS are ringht-angled triangles. PQR and QST are
pqf dan QRS ialah *gitiga bersudut tegak. PQR dan QSf{l
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Diagrarn 9Rajah19It s givenhatPQ= QR= 12cm.Calculalehe engthncm of PTDiberibahawaPQ= QR= 12cm.Hitungpanjang alamcrn,PTA 5B9c 1 5D 2 A
In diagram 0.POR s a straightinesDalam ajah20,PQR alahgarisurus
0Diagram 0Rajah2O
Find hevalueof yCarinilaiyA 2 88 4 0c 8 5D 14 0
l 9 ft,ihat sehelaltM A' r 'H3 P PM l t20 r l50/l 2on MPSM
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SULIT38 Given 3x'= 9
Diberi i-s= --r)A 2 1B 9c - 1 5D * 2 1
39
and 3. x ?Y= l1d a n 3 x - 2 v = 2 i
calcr.rlatehe value of Y, hitungnilai Y.
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Diagram 1Raiah 1Triangle is a scaledrawing f triangteThescaleused sSegfligaQ iatahukisanberska/a agisegrTigaApakahska/aYangdigunakan
A, 1
B, 1c. 1D 1
1 uni t
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SULIT 50/ I40 Diagram 2, showspolygons rawnon a $quare ridof side1 unitRajah22, menunjukkaneberapa poligon angdilukisdi afasgid yangbersrsrunit
Diagram 2Rajah22/*+\Which of the dlagramA, B, C and D, is the image of Q under he lranslation I " I?t 4 )
Antaraajah,A, 8, Cor D yangmanakahalahmejbagiQ di bawahfrans/asii:'l tt4 )
ILihat sebelahMA1'H 3_l P_PMl i201I
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/ \ / \c \ A \/ \ / \
/ \a\
/ \ / \B \
/ \ / \D \/ \
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SULITINFORMATIONFORCANDIDATESMAKLUMAT'UNTAKCALON
I . 'fhiscluesticlnaper onsists f 40questions'Kertas oalun ni rneng,andungi0 srtnlan'
2. Answeral l questions',lawabsen uu soalutt'
3. Eachquestion s followed by four altentativeanswers'A'B' C or D'For eachquestion. hooseone allsweionly. Blackenyour answeron the objectiveanswersheetProvided'Tiap-tia1t oalandiiktrti olehempatptlihan ia"-apun'iaituA' B' C ataaD' Bagisetidp sttalan,pilih satuiatvapan ahaiu' Hnamkan.inwttpan ndcr ada knrtas
j awapan obiekt /'yung tli'sd akun'4. If you r,visho ctrange our anslver'erasehe blackeneclmark that you havernade.Ttren lacken he new answer'
.lika andahenclakmenulay.iawapan,paclamkan andct ang telah dibuat'Kemudianhitamksn atvapan yangbaru'5.Thediagranrsinthecluestionsprovicleclarenot