pmr trial 2011 mm kelantan

Upload: simpor

Post on 07-Apr-2018

259 views

Category:

Documents


0 download

TRANSCRIPT

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    1/45

    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

    http /sci q.blogspot.om

    50/ l 20n MPSM

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    2/45

    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

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    3/45

    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

    http sciq.blogspot.cont

    50/

    ILihat sebelahMATH 3. I P_PMIT 0I I0/ l 2o l MPSM

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    4/45

    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

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    5/45

    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

    http /sciq blogspot.om

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    6/45

    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

    http /sci q blogspot.om

    MATI{3_I P._PMR OI

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    7/45

    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

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    8/45

    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

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    9/45

    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

    http /sci q.blogspot.om

    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

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    10/45

    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

    http sci9.blogspot.com

    IvtAT'l t I i ' PMR 20t I

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    11/45

    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

    http sciq blogspot.om

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    12/45

    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

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    13/45

    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

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    14/45

    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

    http /sci q blogspot.om

    MAT'H 3_ I P,-PMR2OI

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    15/45

    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

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    16/45

    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

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    17/45

    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

    http /sci q blogspot.om

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    18/45

    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

    http /sci-qblogspot.om

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

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    19/45

    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

    http#sci q.blogspot.om

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    20/45

    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

    http rsci-q,blogspot,om

    I' 1J1' 3

    :3

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

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    21/45

    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

    http /sciq.blogspot.om

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    22/45

    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

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    23/45

    SULIT5012N'IatenratikKertas2Ogos 01I 3/ am

    NamitT ingkat i in

    5012

    GuruPcnteriksa:Soalan MarkahPenuh MarkahI)iperolehi

    I2a-)456l89t 0ut2l 3l 4r5l 6t 1r8t 92Q

    Jurrr lah

    JAIIATAN PFII,A.JAAN KLI'AN'IANDENGANKERJASAN{AN{AJLISPENGETUASEKOLAI{N{ALAYSIACAWANGANKFII,AN'I'AN

    PERCUBAANPENILAIAN MENE,NGAHRENDATI

    MATEMATIKKERTASStt"j"- -t"P",

    .].\\G,\N BUKA KER'TAS OAI,AN NISEtIINGGADIRBRITAIIT-IL l-ttli.s nama don tingkatan unrkt putlu ntutg,

    la/rg disediukcut'2. Kartcrs ocrltur ni uckiluh dulun clwi bohusu'3. Srtrrlrutdaltun Brthrtsrt Inggeris nrcndtthttlui

    ,socilrutv-(ut!seprrcltmdctlum Buhusu Mekwu'1. crilon rlibenrtrkrut nrcn.iawtb kesztnruttqtt utrttt

    .sebrthrtgiortsrxilrut s,,t, urla dulum N,thosuIn,qgerisutrnt Buhoso Meltryu. \

    5. Crlorr dikehendoki nrcmbar:u nruklwnut dihtilamun belaktury, ertns qoulcut rt i '

    Kertas oalanni rnengandungi3 halarnanercetak

    http /sci q blogspot.om

    ILihut sebelohMA'l 'H 3- 2 t ') -PMtt201IOl2 20 l l MPSfv l

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    24/45

    SULIT 5ol2MATHEMATICAL FORMULAERUMUSMATEMATIK

    The ollowing ormulaemaybehelpful n answeringhequestions. hesymbols ivenare heones ommonly sed.Rumus-rumuserikutbolehmembantundamenjcwobsoalan. imbol-simbolangdiberi adalahyangbia,sa igunakan.

    RELATIONSPERKAITANI a ^ x a ' - ' a ^ * '2 a o '+ a n = 0 ^ * n3 (, f ) ' : {n

    Distance ljarak: J(r, - ! r ) 'Mid Point I Titik Tengoh

    45

    ( n - 7g , ;t,r +./z-)( x , y ) _ l - t " - , - -n IL L ' 1 )

    AverageSpeed=ffiPurata aiu : '

    sumof dataMean =ff i

    Min hasil tambah nilai databilangan dota

    Pythagoras'l'heorem Tcorem Pithagoras

    " 2 = t + b z

    5012 2on MPSM

    http //sci-q. logspot.om

    MA' f t - t3_2 P_PMR 01I

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    25/45

    SULIT

    2.

    SHAPE AND SPACEBENTUK DAN RAANG

    Areaof rectangle : length x widthLuas segiempat epct : paniang x lebarAreaoltriangle : I x base x heighf2Luossegit iga I x tuPakxtinggi2Areaof parallelogram : base x heightLuassegiernpat elari : tapak x tinggi

    Area of trapezium : : x sumoflparallelsidex height2Luss trapeziun, : t x hssit tambahclus sisiselari x tinggi

    Circurnfbrencef circle : lt d : 2n rL i l i t t r nbu la t sn :nd :Zn . i

    5012

    ILilmt sebelahMA'rH3_2P*PMlt 01 I

    3 .

    4 .

    5 .

    6.

    7.

    8.

    9 .

    Areaof circle =Lttashulatan :Curvedsurfaceareaof cylinder * 2r rhLuaspermukuanmelengkangsilinder: 2 titSurlaceareaof sphere : q" 1Luaspermukaan tftro : 4xi'Volunreof right prism: crosssectionalarea x lengthIsipadu prisma tegak = luas keratan rentas x panirtngVolumeof cutroid : length x width x heightIsipadu luboid : panjang * lehar x tinggiVolume of cylinder : ,rff,Isipadu ,silinder = r-izt

    o t 2nj2

    10 .

    1 1 .

    http /sci-q. logspot.com

    5012 20 l l MPSM

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    26/45

    SULIT12. Volume f cone

    Isipadukon

    e icurnference

    Area of sector-ffimil'cCLuassektormff inn

    Scale actor / Faktor skala k :

    Ansle subtended t centre3600Su&n].ys-a!360'

    3600Sudut usat

    3600

    5012l ^: :ftt 'h1-)l . r: - 7 t l - t3

    t3 .

    1 4 .

    Volumeof sphere : * ";I,sipadusfera : *".fJvolumeof rightpyramid : I ,. base reax heightJIsipadu pvrunrid tegak : I " luas tapak x tinggi

    Sumof interioranglesof a polygon : (n *2) x l80oHasil tambahsudutpedalamanpaligon : (n * 2) x 180o5 .

    t 6 .Panians -engkgkLilitan bulatan

    t7 .

    PA'r8 .: t* x: t? x9 . Area of imageLuas imei

    areaof objectluas objek

    5012 2o l MPStvl

    http //sciq.blogspot.om

    MA'T ' t ' l 2 P PMR20l l

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    27/45

    SUI-ITAnsweral l the questions.Jawab semua soalan.

    1 Calculatehe valueof 50 4(6+ 30+ 5)Hitungnitaibagi 50-4(6+30+5)Answer/Jawaqan

    2. Calcutatehevatue f ( t! -1] - tl andexpressheanswer sa fractionn ts1 .3 4 ) 4lowesterms. t 2 marks

    Hitungkan itai bagi tI -+l - tl da,ungkapkanawapannyaebagaisatu\ . 3 4 ) 4pecahanatamsebutanerendah [ 2 markahAnswer JawaPan

    50/2

    [2 marks][2 markah]

    ILiltut sebelahNtA'l 'H 3_2 I'_l 'Mlt 201

    http /sci-q. logspot.om

    5012 20l lMPSM

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    28/45

    SI.JI-I3. Calculatehevalueof t I + 3-524decimalplaces.

    Hitungkan itai bagil + a-52x4perpuluhan.Answer JawaPan

    4. (a) Find hevalueof:Carinilaibagi:I11-n

    (b) CalculatehevalueofHitungnilaibagi

    50t2x 0.4 and express he answerconect to 2

    O.4dan berikanawapan betul kepada 2 tempat

    [2 marks]12markahl

    [3 marks[ 3 markah[;"sa)'

    Answer Jawapan(a)

    (b)

    5012 20 n MPSM MAT'l-l3_2 I',._PMR 01

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    29/45

    SIJLIT5. Solveeachof the ollowing quations:Se/esark n tiap-tiappersamaanberikut:

    (a ) m-9=-2

    1 8 + 3 n(b) 3n =

    Answer/ awaPan.

    6. Expand ach f he ollowingxpressions:Ketmbangkaniap-tiap ngkapan erikut:(a)2(9 x)(b) 2r'+3XY 3)+(Y 3)

    Andwer jawaPan(a)

    (b)

    5012

    [3 marksl13markahl

    [3 marksl[3 markahJ

    ILihut sebelahMA'l ' l { 3_2 P_}')Ml{ 0l l012 2ol MPSM

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    30/45

    SIJLIT 5OI27 Diagram showswopolygon,BCDandA'B'C'D'.A'B;C'D's he mage fABCDunder ransformation

    Raiah menur-tuiukkanuapolyganABCDdanA'B'C'DA'B',C'D',dalah meiABCDdi bawah ransformatiortAswerlJ waPan.

    DiagramRajahDescriben ul l ransformationHuraikanselengkapnyaenielmaanP [2 marks]

    12markahl

    5()12 20 l l MPSIVI

    http //sci-q. logspot.om

    MA'l ' t ' l 3 2 l '} )MR 20 1

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    31/45

    SI I , IT 5OI2g. Diagram in heanswer pace howsa triangle QR,drawn n a gridof equalsquares. is hecentre f anenlargement.

    Draw he mage f riangle QRunderan enlargementt hecenterO withscalefactorof -1 [ 2 marksR,ajah diruang awapanmenunjukkan ebuah egitiga QR.yang cJitukisadagridsegiempat ama,O ialahpusat agisafupembesaran.Lukiskanmej bagisegitiga QRdibawahpernbesaranadapusatO dengartfactor kala1' | 2 markah

    Answer/ awapan.

    DiagramRajah

    ILilut sebelohivlATH 3_ l P_l',Mll 20 1

    http /sci q blogspot.om

    5012 2o l Mt)sNl

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    32/45

    sLjl-ll 50/l9. Factorise ompletely achof the following xpressionsFaktorkanselengkapnyaiapliap ungkapanberikut

    (a) 3p +9q(b ) 9 tq *3p r+6c1 -2 r [3 marks]Answer Jawapan: [3

    markah]

    (a)

    (b )

    3 3-3x10. Express '.,,

    -,*,

    asa singleractionn tssimplestorm3 marksl

    (Jngkapkan:-$' sehagai'satuecahanunggatlatam entukermudah5J, 15x1,, [3 markah]

    l 0( l /2 20l MPSM

    http /sci-qblogspot.om

    MAT'I1 1, 2 I ' .PMR 2O I

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    33/45

    SI I,IT11. Listall he nteger alues f

    4 -2x36

    50t2.r whichsatisfy oth he nequalities ' Z anO2

    [ 3 marks[3 markahJ

    [ 3 marksSenaraikanemuanitai nteger yang memuaskan edua-dua etaksamaan1': l

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    34/45

    SULIT13. Find hevalue fCarinilai bagi

    Answer Jawapan:

    a 1

    4 1 x 2 7 i

    s0l2

    [ 2 marks| 2 markah

    50/2 2o l l MPSNI L2 MAT' l j 3_2 P_PMR 01I

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    35/45

    Favourite amesPermainandiminati

    NetballBola JaringFootballBola Sepak

    Number f studentsBilangan elaiar

    SULIT14. Table shows he nvolvementf 120studentsn heir avourite ames'Jacluat menunjukkanengtibatan 20pelajar alam ermainanangmerekaminati.

    Table1Jadual1(a) Find hevalueof TCarinilai T.

    (b ) Hencecompletehe'piq hart n heanswerspace o represent ll heinformationnTable1.Lengkapkan artapaidi ruangawapanuntukmewakili emuamaklumatdalanJadual1. [4 marks]14markah|Answer/ awaPan.

    50t2

    ILiltot sebelahMATH 3_ 2 P_PMI{2(} l012 2o l MPSIVI l 3

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    36/45

    suLIT 501215. Diagram in heanswer pace howsoursquares KON,KBLO,NOMD ndoLaM. W,X andY are hreemoving ointsnsidehesquares-

    Rajah datam uangawapanmenunjukkanmpatbuahsegiempatamaAKON,XtitO, NOMD anOLCM.W,X dan Y adalah iga titikyangbergerak idalamsegiempafama ersebut.(a) W is hepointswhichmoves uch hat t is always quidistantromstraightlinesAB andDC.By using he ettersn thediagram tate he ocusofw.

    w ialah itikyang bergerakengankeadaanaraknyaadalahsenfiasasamadarigaris urusAB dan DC.Denganmenggunakanurufabjaddi dalam aiah tu, nyatakanokusbagiW.(a)On heDiagram ,draw -PadaRaiah , lukis ,"

    (i) the tocusof thepointX whichmoves uch hatoX= oL

    Lokus bagi itikx Yangbergterakengankeadaan x = oL'(ii) the ocusof pointV wdrchmoves uch hat ts always quidistantrompointA andPoint "

    lokusbagititikYyangbergerakdengankeadaanaraknyaadalahsenfiasasamadari itikA dan titikC.(c) Hence,markwith hesymbol the ntersectionsf the ocusofX and helocus of Y

    Seferusna, tandakanengansymbot@ kedudukan agipersilanganokusXdan okusY [b marks]l5 markahl

    l 4012 20 l t MPSM

    http tsci-q,blogspot.om

    MAl ' t j 3_2 P Ptv lR 0 l l

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    37/45

    SULITAnswer/ awapan .(a)

    (bx i ) , ( i i )(c) -K

    MDiagramRajah3

    B

    5012

    ILilufi sebelaltMATH 3- 2 P_PMR2I}I I

    N

    c

    -

    5Ol2 2o n MpsM l 5

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    38/45

    5012StJI,IT16. Diagram shows traPezium'Rajah4 ntenuniukkanraPezium'

    20m 30m

    40mDiagramRaialt4

    On hegrid n heanswer pace,edrawhe rapeziumsinghescale :500 Thegridhasequal quares ithsides f '1cm.Fada rici i ruangawapan, ukis enula rapeziumtrtmenggttnakankala1.504.Grirl ittt ercliri aripaclaegrempat amabersisi1 cnt [3 marks]13markahlAnswer/awa7an.

    5Ol2 2ot t M l)s lv l l 6 \ , tA ' t ' t - l I t ' l )M l t l0 l l

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    39/45

    sLii-lr 5ol217. Set squaresand protractor$ re not allowed or thisquestionSesikudan protraktor idak bolehdigunakanuntttk soalan ni.

    Diagram showsa parallelogram,BCD.ThePointE lieson lineAB such hatDEis perpendicularo AB .Rajah5 menunjukkansegi empat selari,ABCD.TitikE terletakpada garis ABdalamkeadaanDE bersereniangdengangaris AB.

    nDiagram

    RajahUsingonlya rulerand a pairof compasses,contsructMenggunakanpembarisdan angka lukis sahaia,bina

    i- ParaltelogramBC Dbeginningrom he straightin eAD andABprovided n the answerspace.segiempatselariABCDbermuladari garis urusAD danABdiruangan awapan yang disediakanii. The perpendicularin eDE to straightin eAB whichpa$ses hroughthe pointD, -"\\\Ga4ssereniangDE kepbdagarls lurusAB yang melaluititikD

    BasedOn he diagram onstructedn (a),measurehe ength,n cm ,of DE'Berdasarkan ajahyang dibina pada a),ukurpaniang,dalam m, DE,

    [5 marksJl5 markahl

    ft,ifurt sebclultlvlA'l ' l"i I I '} l) lv{lt2(}l I

    {a)

    (b)

    5012 ton Mt'sl\4 T]

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    40/45

    SULITAnsweriawaPan

    (a)

    5012

    (b)

    5012 20ll MPSM 1 8 MAT}{3..2P PMlt20 1

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    41/45

    SULIT18. Use hegraphpaper n page20 o answerhisquestion.Guna kertas rafdi halaman 0 untukmeniawabsoalanni.

    Table2 shows he valueof two variables, andy, ol a functionJaclua!. menunjukkan ilai-nilaiuapembolehubah, dany, bagisuatu ungsi.

    Table2Jadual2The x-axisand hey-axisareprovided n thegraphpaperon page20Paksi-x an paksi-yetahdisediakanadakertasgrafdi halaman 0a) By usinga scale f 2 cm o 10units, omplete nd abel hey-axisDenganmenggunakan kala2 cm kepada10 unit, engkap an abelkanpaksi-yb) Based nTable2, plotall hepoints n hegraph aper.Berdasarkanadual2, plotsemua itikpada kertas raf tuc) Hence, raw hegraph f he unction.Seterusnlyalukisgraf ungsi tu.

    5012

    [4 rnarksJ14markahl

    ILilmt sebeluhMATH 3- 2 P-PMR 2OIt

    x -3 -2 -1 0 1 2 3v -25 -6 1 2 3 10 29

    5012 20l lNIPsM r9

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    42/45

    il-+g$-*t**g*lgiSULIT

    i . . i . . . : i : ' i r " " : i 1 . : . "! . . j . . . . : . ! . . . . . . . i . . . : . . . : i . . . :. r r . . i i .i i . ii - - , . . . i . - ; . . . ; , i - . i . . . ; . ; -; ;' ; . . i , - i - i

    5012

    20

    http /sci-q. logspot.om

    5012 20l MPSM N,IATH.]- ] P-PMR 2O I

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    43/45

    SUI-IT19. Thedata n Diagram showsmarksobtained y 20participantsna quiz,Datadi dalamRajah menunjukkan arkah angdiperolehi agi2Apeserta kuiz.

    42342335443 5 2122 5 213

    Diagram6Rajah6(a) Using he data n Diagram6, complete he Table3 in the answerspace.Denganmenggunakandata datam Rajah6, lengkapkanJadual 3 di ruang

    Jawapan.

    5012

    (b) State he median.Nyatakanmedian.

    Answer/Jawapan[3 marks]{3 markahl

    (a

    Table3Jadual 3

    (b) Median=

    ILiltut sebeluhMATH 3-2 P-PMR 2OI

    2T0/2 ro r iv{PsM

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    44/45

    SULIT 5OI220. DiagramZ showsa squareJKLM and JMN s a right-angledriangle'MLN s astraight ine.naiin T menunjukkansebuahsegiempatsamaJKLM dan JMN adalahsegitigabersudut tegak.MLN adalahgaris lurus'

    LDiagram7Rajah7

    It is given hatMN = 3MLand an1Diberi MN=SMLdan tan )-'= ,

    a) Find the engthof MNCari paniang MN

    b) Calculate he valueof tan xHitungkan nilaitan x(3marks)(3markah)

    Answer/Jawaqana)

    ENDOF QUESTION APERKFRTAS SOATA'VTAMAT

    http /sci-q. logspot.om

    1l 2 - -" 3

    b)

    225012 20 l NTPSM lvlATH 3-2 P- Pl\4R201

    www.papercollection.wordpress.com

  • 8/4/2019 PMR Trial 2011 MM Kelantan

    45/45

    SULIT 5o/2INFORMANON ORCANDIDATESMAKLUMATUNTUKCALAN

    1. Thisquestion aper onsists f 20questions.Keftassaalannimengandungi 0 soalan.

    2. Answer ll questions.Jawab semuasoalan.

    3. Writeyouranswern the spacesprovidedn thequestion aper.Jawapan ndahendaklah itulis ada uangyangdisediakanalamkerfd!soalanni.

    4. Showyourworking.ltmayhelpyou o getmarks.Tunju4kanangkah-langkahentingdalamkerjamengira nda.lnibolehmembantu ndauntukmendapatkan arkah.

    5. lf youwish o change ouranswer,crossut heanswerhatyouhavedone.Then,writeown he newanswer.Jikaandahendakmenukarawapan,batalkanawapanyang elahdibuat.Kemudianulisawapanyangbaru.

    O. Thediagramsn hequestions rovided re notdrawn o scaleunless tated.Rajah angmengiringi oalanidak dilukismengi4ut kala ecualidinyatakan.

    7. The marksallocatedor eachquestion re shownn brackets.Markahyangdiperuntukkan agisefiapsoalandituniukkan alamkurungan.

    8. A listof formulaes provided npages and4'Salu senaraiumusdisediakani hataman hingga .

    L The usageof calculators notallowed.Pengg naankalkulatoridakdibenarkan.

    10. Hand nthisquestion aperto he nvigilatort theend ofthe examination.Serahkan ertassoalannikepadapengawaseperiksaanadaakhirpeperiksaan.

    sebeluh23

    www.papercollection.wordpress.com