trial mate pmr 2011 kelantan paper 1

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  • 8/4/2019 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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    50/ l 20n MPSM

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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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    50/

    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'

    56

    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

    50/1

    5 (Y l 2o l l M PSM

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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'

    -J"f-50/

    ILilut sehelahMA'l'H 3_ l t'_PMl( 2tll I

    1 0

    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

    50 / 2on MPSM

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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

    50/

    5 (Y l 20 l M PSM MAT't. l3_ l P_PMR201I

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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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    1 4

    50/l

    ILihut sebelultMA1'H 3_ I '}_f ' ,N{ l t(} l

    A. 1 6B. 48c 5 6D. 64

    5 U l 2 o l t M P S N , I

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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

    50/ l 2or MPSM l 0

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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

    50/l 2o l MPSM I I

    2 2 rT'

    50/

    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

    50/

    5(Yl 2on N,u,sM T2 l \,tAT't-ll I P I',MIt 0l I

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    24

    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

    50/

    ILihat sebeluhM A 1 - H 3 l P t ' M l l 2 f i l l

    l 3(Y l 2on Ml,slvl

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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

    50/

    26

    27

    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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    29

    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

    50/

    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

    50/

    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.

    50/l 20 t MPSlvl l 6 N,lA I 'l 3 I l ' } - 'MR l0l i

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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

    32

    50/

    ILilmt sebelahMAI 'H 3_ l P_PMl t201I

    t 70/ l 2o l l MPStv j

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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'

    50/l

    35

    1 8

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    50 / l 20 l t M PSM MAT't- l l_l P PM R 20 1

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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

    37

    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.

    50/1

    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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    I' 1J1' 3

    :3

    205(Yl 20 l l MPSN, I MATt. l 3 -l P- l 'MIt 20 1

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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

    21

    / \ / \c \ A \/ \ / \

    / \a\

    / \ / \B \

    / \ / \D \/ \

    50/l 2or MPSNI

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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