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PENILAIAN MENENGAH RENDAH 2OO9 5O/I MATIIEMAIICS Kertas I Ogos Lyajom Satu Jam Lima Belasminit

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PENILAIAN MENENGAH RENDAH 2OO9 5O/I MATIIEMAIICS Kertas I Ogos Lyajom Satu Jam Lima Belasminit PEPERIKSAAN PERCUBAAN NEGERI PERAK PENILAIAN MENENGAH RENDAH 2OO9 5O/I MATIIEMAIICS Kertas I Ogos lYajom Satu jam lima belasminit JANGAN BUKA KERTAS SOALAN II\I SEHINGGA DIBERII]AIIU L Keftas soalan ini adalah dalam dwibahasa. 2. Soalan dalam bahasaInggeris mendahuluisoalan yang sepadandalam bahasa Melayu. 3. Calon dikehendabimembaca maHumat di halaman belakans kertas soalan ini. Kertas soalanini m€ngandungi24 halamanbercetak 50/l o 2009Har cipto labatanPelajdd Pemk Lihat sebelah SULIT SULIT 50/1 MA*THEMATICALFORMULAE RUMUS MATEMATIK The following formulaemay be helpfirl in answeringthe questions.The sl,rnbolsgiven are commonly used. Rumus-rumusberikut boleh membantuanda menjal4tabsoalan. simbol-simbol yang diberi adalah yang biasa diguhakan. FJLATIONS PERKAIUN 1 { '< an= ad+n -n 2 a" + an_ aa 3 (an)n = amh 4 Distancet lorot, = ^11r.,- a1\S- yf 5 Midpoint/ Titik t€ngah (x,y) =l'7,--l/.r, +x. v.+ v^ \ 6 Averagespeed = -4@8314]99 timetaken Puratalaiu - iarak Yangdllal1i,, masayang drambtl _- surn of data r,r"b"t d"t" "f hasil tambahnilai data *^^,,, -_ -- bth"s* dtr" 8 PythagorasTheorem / TeoremPithagorus c7=a2+bl 50/l O :oos FakCrpra tabdran petajue pelak Lih&t Sebelah SULIT SULIT 5UT SHAPESAND SPACE BENTUK DAN RUANG I Area of recta[gle = length x width Luas segiempattepat = panjang x lebar .t 2 AreaoI hiangle= base heighr t I Luassegitiga - - , rapak. tinggi 3 Area of para.llelogram = basex height Luas segiempatselari = tapak x tinggi I 4 Area of tmpezium= x parallel x t sum of sides height 1 Luas lropeziuth= , hotil tambahdu1 sisisclari x tinggi t 5 Circumferenceof circle= r.d = 2nr Lilitak bulatan= rd = 2n.i 6 Area of circle = rr2 Luas bulatan = nj2 7 Curvedsurface area of cylinder= 2tnh Luas permukaanmelengkung silinder = 2njt 8 Suface areaof sphere= 4nr2 Luas permukaansfera = 4tj2 9 Volumeof right prism = crosssectional area x lengtll Isipaduprisma tegak = luas ketatan rentds ,<psnjang 10 Volurneof cuboid= lengttrx width x height Isipadu huboid = panjang x lebar x tinggi 11 Volumeof cylinder= nr2lr Isipadu silinder - nj,t I 12 Volumeof cote = j nr2h I., $tPaaukon:iJtJ't 4 lJ volumeoI sphere= 7rP T $tpaauslera=j4'n"4 I 14 Vohuue of dght plramid = bur" area x height t' .l lsipadu pitdrfiid tegak - , luas rapak \ tinggi 7- 50/1 o zoor uat crprarabaran pelajaran perak Lihat sebelah SULIT SIJLIT 50/l 15 Sumof interiorangles ofa polygon = (n-2) x 180" Hasil tambahsudut pedalaman poligon - (n 2) x 18P Arc l€ngfh Argle subf€ndedat centre '- Clcumferenceof circle 3b0" Pqnjang lengkok _ Sudutpusat Lilitan bulatan 360" Area of sector Angle subtendedat centre ' ' Ar* 360" "f "i-1" Luas sektor _ Sudutpusat Luas bulqtan 360" 18 Scalefaator, ,/ I'a 1r7sys1ro1o, p = lL PA 19 Area of irnage= /r'? x areaof object Luas imej = k'1 x luas objek 50/l O 2009Eak CiDlaJabarm pelaiaran perak Lihat Sebelah SULIT SULIT 5 50/l Answerall questions Jawab semuasoalan. DiagramI is part of a nunber line. Rajah 1 ialah sebahagiandaripadq garis nombot Diagram1 Rajah I What is the value of M + N ? ApqkahnilsiM+N? A -6 B -12 c - 18 D -24 Thehighest common factor (HCF) of 15,P and45 is 15.Find thevalue of P Faktorsepurrya terbesar (FSTB) bagi 15,P dan 45 ialah 15. Cari nilai P. At2 823 c30 D42 Ramlahreceives RM5 as her pocketmoney everyday. She spends ] of her pocketmoney f everydayand saves the rest.Calculatg the amountof moneyshe saves in two weeks. Rsmlahmenerima RM5 sehqri sebqgqiwang sqkunya.,Dia membelanjakan aari auit I) poketnya setiop hari dan bqkinya disimpan. Hitungkon jumlah wang yang yang disimpsn selamadua minggu, A RM 14 B RM 21 C RM 28 D RM 42 2 SMK Bestariand SMK Ceriahas 80 teathers each of the teache$in SMK Bestariare female. 3 Thetotal nunb€r of femaleteachen in both schoolarc 56. Calculatethe p€rcentageof rEle t€aclErs in SMK Ceria. SMK Bestari dan SMK Cefia masing-masingmempunyai 80 orang guru. O*r*ao I *r, SMK Bestari adalah perempuan. Jumlah guru perempuan kedua-dua sekolqh ialah 56. Hitungkanperatus gutu lelaki di SMK Ceria. A30 B40 c60 D70 50/1 @2009 Hak ciDla Jabatarpelaiaran pemk Lihat sebelah SULIT SULIT 50/1 A 5-metrewooden plank is cut into 4 pieces.Two pie.es are 2.6 m and 90 cm long. The other two piecesarc of equallength. Find the lengtlr,in cnr, of eachof the piecesof equallength. Sebatangpapan kayu yang berukuran 5 metetpanjang telah dipotohg kepada 4 bahagian. Dua bahagian itu adalah berukuran 2.6 m dan 90 cm panjahg. Dua bahqgiqh lain mempunyqipanjahg yang sama. Cari panjang, dalam c]r'rusetiap bahagiah yahg saha pqnjang itu, A60 865 c70 D75 1t Suaya-2--1used I i kg of sugarand,2; kg of flour to make3 cakes,If I kg of sugaris RMl.60 and I kg of flour is RM2.20,calculate the total cost of sugarand flour to make6 cakes. .1 .l Surayamenggunakan l, kg gula dan 2 l,C tepung ntuk thetnbuat3 biji kek. Jika harga O I k4 gula ialah RMl.60 dan I kE tepuhgiqlqh RM2.20, hitungjumlah kos gula dan tepung untuk menbuqt 6 b|i ktk. A RM2.4O B RM4.95 c RM7.35 D RM14.70 Thetime allocationfo|a testis I hour25 minutes,Due to someproblems, the testwas delayed I for hour.If the testended at 5.10p,m, at whattime wasthe lest supposedto start? t Peruntukanmqsa bagi suatuujion ialoh I jarn 25 minit Ujian tercebuttertangguh selama I jedrrdisebabkan masal.rh tertentu. Jika uiian te6eb t tamatpadd puhul 5,10petsng, pqdq , pukulberapakah ujian tersebut sepatutnya bemulq? A 3.15p.m B 3.45p.m C 3.55p.m D 4.15p.m Lihat Sebelah 50/l O 2009 Hak CiDra JabatanP€laiaran P€mk SIJLIT SULIT 50/1 8 .l for houserent. ) I untuksewa rumah. 5 ii 15% for carinstallment. 15 %ountuk ansurun kereta. iii 50 % for living expenses, 50 oA untukperbelanjaan horian. rcJL rur rdv urts. Baki seterusnyauntuk simpahdtl. Thestatement above shows Zakffia's modthly expenses in a month.If his monttrlysalary is RM 3500,how muchdoes he save? Pertryataandi atas menunjukkanperbelanjaan Zakarla dalam sebullh. Jika pendqpqtqn bulanannyaialah RM 3500,berapakah simpanannya? A RM 455 B RM 525 c RM 820 D RM 845 Tlpesof cars Rateof rental Jeniskereta Kadar sewqan Wira Waja Basiclates RM 50 RM 80 Kadar asas Rentsfor everyhorus RM 10 RM 15 Kadar sewaansetiqp jam Table9 Jadual 9 Table 9 shows the lste of rental for two t,?es of cars. Abu and Bakar rent Wira aIId Waja respectivelyfor 5 hous. Calculate0le differencein rentalbetween them. Jadual 9 menunjukkankndqr sewaand a jenis kzreta.Abu dan Bakar menyewqkereta Wra dan Wajaselama 5 :a/.n. Hitung perbezqankadar sev)qanmasing-mqsing. A RM 40 B RM 45 C RM 50 D RM 55 Lihat sebelah 50/l O 200qHal Cips JaoaranPetaiaran Pelnr SIJLIT SI]LIT 50/1 10 From Dagmm 10, find the value of a + y. Dari Rajah 10, hitung nilai a + y. Diagan 10 RajahI0 135" B 2t0" 275. D 345. 1l In Diagam11, JK'M is trc imageof.,/r(M rmder an enlargementwith centreJ. DalanRajah 11, JK'M'ialah imejbagi JKM di bawahsatu pembesaran pada puEat J. Diagam11 Rajah l1 6cm M' GivenJM = 3 cm, calculatethe lengthof ,,/M, in cm. Diberi JM = 3 crn,hitung panjqng JM' , dalamcm A3 B6 c9 Dt2 12 ln Diagrarn12, given that lB is parauelto CD. DalamRajah 12, diberi bahawaAB adalahselari denganCD. Diagam 12 Rajqh 12 Findthe value of x. Cari nilai x. A 50" B 80" c 100" D 130" Lihat Sebelah 50/l o 200qHa[ CiplaJabaun Pekjaran Pemk SULIT SULIT 50/1 13 In Diagam 13, KLMN is an iregular pentagon."r(Z and,t4r'P are straight lines. Dalatn Rajah 13, KLMN ialah sebuahpentagon tidak sekata.JKL dan MNP adalah garis lurus. Diagran 13 Rajah 13 Find the value of r. Cari nilai x, A56 B78 c80 D94 t4 In Diagam 14,PQR.I is a rectangle,p.lRU and PSZ are right-angled tiangles. Dqlan Rajah 14,PQRS ialah sebuahsegiempat tepat, QRU dan PSTialah segitigabersudut tegak. l7 cm Diagrarn14 Rajah 14 Calculatethe are4 in cm,, of the shadedregion. Hitung luas, dqlqm crf, kawasanberlorek A60 B 120 c 144 D 204 50/l o :ooe Hal cipr" :abaranpetajard perst Lihat sebelah SULIT SULIT 10 50/1 15 In Dagam 15,PQS wd QRTwe nght-aneledtriangles, PQn is a staight line and I is the midpoird of 9S. Dalam Rajah 15, PQS dan 2RT ialah segiliga bersucluttegak. PQR ialah gafis lurus dan T adalah titik tengah QS. P6cmQ3cmR Diagram15 RajahI5 Calculatethe length,in cm, of PS Hitung panjang, dalam cr4 bagi PS. A8 B9 c10 D14 16 Which of the following ratiosare equalto 4 i 8 : 9 ? Yangmanakah nisbah-nisbah di bowah ini sama dengan 4:8:9'l | 28:56 63 239 II 5410 I 1.6t 3.21 3.6 TV 24: 40:45 I andII B I ard III c II andIV D III andIV Lihat Sebelah 50/1 e zool r-ut cipu tabatd PelajdanPerat SUITT SULrT 11 50/1 17 Ir Diagam I'l, PQW is a trap€zium,QR,SU is a rcctangleand S?U is a dght-angledtriangle. PQR,SLV arLdRST are straightlines. DalamRajah17, PQW ialah trapezium,QRSU ialah sebwh segienpat tepat dan STU ialqh segitiga bersuduttegak PQR , SW dan RSTialah garis lurus. Diagrarn17 Rajah 17 15cm GivenPQ = 0R = 15 cm andQU = PS = ST = 8 cm, calculatethe pcrimcter,in cm, of the wholediagram. Diberi PQ = CIR= 15 cm dan QU = n,9 = Sf - 8 c'r\ hitungperimetet dqlam ort, seluruh rujah itu. l.32 882 c 105 D 276 18 Giventhat 2.r -3y = - 9 andy = -1. Calculatethe valuc of r, Diberibahawa 2x-3y=- 9 dany=-1.
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