PMR Trial 2011 MM Kelantan
Transcript of PMR Trial 2011 MM Kelantan
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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
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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
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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)
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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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SUI-ITI In the Diagram3, PQRSand JKLil4are sguare.
Aabm raiah 3, PQRS dan JKLM talah segi empat sama'
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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
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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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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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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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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+ $)- 8n+ el
A m + 9B m + 1C rn*1D m - 9lf 10 * 2x < 4 ,a Possiblevalueof x isJika 10 -2x < 4, nilaiyang mungkin bagix ialah
A - 4B * 3c3D4
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SULIT28 Diagram14 , showsa regularpentagon, ABC s a straight ineRajah 14 , menunjukkan sebuahpentagon sekafa,-A8G alah safu gans lurus
Diagram14Rajah14
Find he valuesof x and y,Carinilai bagix dan y,A x = 7 2 , y * 3 SB x = 3 6 , y * 7 2C x = 3 0 , y = 6 0D x = 2 5 , y = 6 5Diagram15,sho$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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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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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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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
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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
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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
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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
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( 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
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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
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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 .
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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
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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
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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
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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
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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)
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[3 marksl13markahl
[3 marksl[3 markahJ
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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
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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
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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]
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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
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SULIT13. Find hevalue fCarinilai bagi
Answer Jawapan:
a 1
4 1 x 2 7 i
s0l2
[ 2 marks| 2 markah
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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
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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
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SULITAnswer/ awapan .(a)
(bx i ) , ( i i )(c) -K
MDiagramRajah3
B
5012
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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
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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$ses hroughthe pointD, -"\\\Ga4ssereniangDE kepbdagarls lurusAB yang melaluititikD
BasedOn he diagram onstructedn (a),measurehe ength,n cm ,of DE'Berdasarkan ajahyang dibina pada a),ukurpaniang,dalam m, DE,
[5 marksJl5 markahl
ft,ifurt sebclultlvlA'l ' l"i I I '} l) lv{lt2(}l I
{a)
(b)
5012 ton Mt'sl\4 T]
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SULITAnsweriawaPan
(a)
5012
(b)
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SULIT18. Use hegraphpaper n page20 o answerhisquestion.Guna kertas rafdi halaman 0 untukmeniawabsoalanni.
Table2 shows he valueof two variables, andy, ol a functionJaclua!. menunjukkan ilai-nilaiuapembolehubah, dany, bagisuatu ungsi.
Table2Jadual2The x-axisand hey-axisareprovided n thegraphpaperon page20Paksi-x an paksi-yetahdisediakanadakertasgrafdi halaman 0a) By usinga scale f 2 cm o 10units, omplete nd abel hey-axisDenganmenggunakan kala2 cm kepada10 unit, engkap an abelkanpaksi-yb) Based nTable2, plotall hepoints n hegraph aper.Berdasarkanadual2, plotsemua itikpada kertas raf tuc) Hence, raw hegraph f he unction.Seterusnlyalukisgraf ungsi tu.
5012
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il-+g$-*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
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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=
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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
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b)
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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
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