2018袋鼠数学竞赛-4年级

SingaporeMathKangarooContest2018Primary4/Grade4ContestPaperName:School:INSTRUCTIONS:1.PleaseDONOTOPENthecontestbookletuntiltheProctorhasgivenpermissiontostart.2.Duration:1hourand30minutes3.Thereare24questionsinthispaper.Eachquestionscores3pointsinSectionA,4pointsinSectionBand5pointsinSectionC.NopointsaredeductedforUnansweredquestion.1pointisdeductedforWronganswer.4.Shadeyouranswersneatlyintheanswerentrysheet.5.PROCTORING:Nohelpshouldbegiventoanystudentinanywayduringthecontest.6.Nocalculatorsareallowed.7.AllstudentsmustfillandshadeinyourName,Indexnumber,LevelandSchoolintheAnswersheetprovided.8.Studentsarenotallowedtoleavethevenuewithinthefirsthourofthecontestand15minutesbeforetheendofthecontest.9.Studentsmustshowdetailedworkingandtransfertheiranswerstotheanswerentrysheet.10.Nosparepaperscanbeusedinwritingthiscontest.Enoughspaceisprovidedforyourworkingofeachquestion.11.Studentsarenotallowedtakeanyanswerscript,referencematerialsandcontestpaperoutofthevenue.RoughWorkingSingaporeMathKangarooContest2018{Primary4/Grade4SectionA(Correct{3pointsjUnanswered{0pointsjWrong{deduct1point)Question1Leoniehas10rubberstamps.Eachstamphasoneofthedigits:0,1,2,3,4,5,6,7,8and9.SheprintsthedateoftheKangaroocontestasshownbelow.Howmanystampsdoessheuse?81503201(A)5(B)6(C)7(D)9(E)10Question2Thepictureshows3yingarrowsand9xedballoons.Whenanarrowhitsaballoon,itbursts,andthearrowiesfurtherinthesamedirection.Howmanyballoonswillbehitbythearrows?(A)2(B)3(C)4(D)5(E)6Question3Susanis6yearsold.Hersisterisoneyearyoungerandherbrotherisoneyearolder.Whatisthesumoftheagesofthethreesiblings?(A)10(B)15(C)18(D)21(E)30Question4Thepictureshowsvescrewsinablock.Amongthe5screws,only1ofthemisshorterthantheother4screws.Whichscrewistheshortest?(A)1(B)2(C)3(D)4(E)51SingaporeMathKangarooContest2018{Primary4/Grade4Question5Thepictureoftheladybirdisshownbelow.Whichoptionisnotthesameladybird?(A)(B)(C)(D)(E)Question6Lucyfoldsasheetofpaperinhalf.Thenshecutsapieceoutofitasshowninthepicturebelow.Whatwillsheseewhensheunfoldsthepaper?(A)(B)(C)(D)(E)Question7Inherrsttry,Dianascores12pointsintotalwiththreearrows.Onhersecondtryshescores15points.Howmuchpointsdoesshescoreonherthirdtry?(A)18(B)19(C)20(D)21(E)22Question8Mikesetsthetablefor8guestsasshowninthepicturebelow.Hewantstoserveeachguestwiththecorrectarrangement,whichmeansaforkontheleftofeachplateandaknifeontheright.Howmanyguestwillhavethecorrectarrangement?(A)5(B)4(C)6(D)2(E)32SingaporeMathKangarooContest2018{Primary4/Grade4SectionB(Correct{4pointsjUnanswered{0pointsjWrong{deduct1point)Question9Robertomakesdesignsusingtileslikethis.Howmanyofthe5designscanhemake?(A)1(B)2(C)3(D)4(E)5Question10Albertllsthegridbelowwithvegures.Eachgureappearsexactlyonceineverycolumnandeveryrow.WhichguremustAlbertputinthesquarewiththequestionmark??(A)(B)(C)(D)(E)Question11Tomwantstocovertheboatcompletelyusingthe2typesofshapes,asquareandatrapeziumasshowninthepicturebelow.Ifnoshapescanoverlapeachother,whatistheleastnumberofsquareandtrapeziumpiecesdoesTomneedstocovertheboatcompletely?(A)5(B)6(C)7(D)8(E)93SingaporeMathKangarooContest2018{Primary4/Grade4Question12Thecoloursinthepicturebelowareinverted.Thenthepicturewasrotated.Whatdoesthenewpicturelooklike?1(A)1(B)1(C)1(D)1(E)1Question13Arabbithas20carrots.Iteats2carrotseveryday.Ifitatethe12thcarrotonWednesday,whichdaydidtherabbitstarteatingthecarrots?(A)Monday(B)Tuesday(C)Wednesday(D)Thursday(E)FridayQuestion14Tobyglues10cubestogethertomakethestructureshownbelow.Hepaintsthesurfaceofthestructure,includingthebottom.Howmanycubesarepaintedonexactly4facespainted?(A)6(B)7(C)8(D)9(E)10Question15Thereare8owersonarosebush.Therearenomorethanoneinsectperower.Morethanhalfoftheowersareoccupied.Thenumberofbutteriesontheowersistwicethenumberofdragoniesontheowers.Howmanybutteriesareontheowers?(A)2(B)3(C)4(D)5(E)64SingaporeMathKangarooContest2018{Primary4/Grade4Question16CaptainKookwantstosailfromtheislandcalledEasterthrougheveryislandonthemapandbacktoEaster.Thetotaljourneyis100kmlong.Someofthedistancesbetweeneachislandhavebeenwritteninthepictureasshownbelow.Forexample,thedistancebetweenEasterIslandandVolcanoIslandis17km.ThedistancebetweenDesertIslandandLakeIslandisthesameasthedistancebetweenEasterIslandandFlowerIslandthroughVolcanoIsland.WhatisthedistancebetweenEasterIslandandLakeIsland?EasterVolcanoFlowerDesertLake171526(A)17km(B)23km(C)26km(D)33km(E)35kmSectionC(Correct{5pointsjUnanswered{0pointsjWrong{deduct1point)Question17TheroomsinKanga'shousearenumberedfrom1to14.BabyRooentersthemaindoorasindicatedbythearrowshowinthepicturebelow.HepassesthroughsomeroomsbeforeleavingthehouseinoneofthedoorslabeledA,B,C,DandE.Thenumbersoftheroomsthathevisitsarealwaysincreasing.Throughwhichdoordoesheleavethehouse?(A)A(B)B(C)C(D)D(E)EQuestion18Fourballseachweigh10,20,30and40.Whichballweighs30?ABCDBDC1(A)A(B)B(C)C(D)D(E)ItcouldbeAorB5SingaporeMathKangarooContest2018{Primary4/Grade4Question19Thebandshowninthedrawingcanbefastenedinveways.Howmuchlongeristhebandfastenedinoneholethanthebandfastenedinallveholes?Unfastenedband