International-Contest-MATH-KANGAROO-Grade-4

Grade3and4Year2012Copyright©CanadianMathKangarooContest.Allrightsreserved.ThismaterialmaybereproducedonlywithpermissionoftheCanadianMathKangarooContestCorporation.InternationalContest-GameMATHKANGAROOPartA:Eachcorrectanswerisworth3points1.TherearetwoclocksinCathy'sroom.Oneofthemis25minutesbehind.Nowitisshowing7:40.Thesecondclockis15minutesahead.Whatisthesecondclockshowingnow?(A)7:15(B)7:25(C)7:55(D)8:05(E)8:202.Infourofthefivepictures,thewhiteareaisequaltothegreyarea.Inwhichpicturearethewhiteareaandthegreyareadifferent?(A)(B)(C)(D)(E)3.Fatherhangsthelaundryoutsideonaclothesline.Hewantstouseasfewpegsaspossible.Forthreetowelsheneedsfourpegs,asshown.Howmanypegsdoesheneedforeleventowels?(A)11(B)12(C)13(D)14(E)154.Amathclasslasts45minutes.Petercansolveanyproblemfromthetextbookinexactly6minutes.However,heneedsoneminuterestaftersolvingeachproblem.HowmanyproblemscanPetersolvecompletelyduringonemathclass?(A)38(B)12(C)7(D)6(E)55.Fifteenchildrenareplayinghideandseek.Oneofthemistheseeker.Afterawhilesevenchildrenwerestillhiding.Howmanychildrenhavealreadybeenfound?(A)8(B)4(C)5(D)7(E)226.MikeandJakewereplayingdarts.Eachonethrewthreedarts(seethepicture).Whowon,andbyhowmanypointsdidhewin?(A)Mike,hescored3pointsmore.(B)Jake,hescored4pointsmore.(C)Mike,hescored2pointsmore.(D)Jake,hescored2pointsmore.(E)Mike,hescored4pointsmore.Grade3and4Year2012Copyright©CanadianMathKangarooContest.Allrightsreserved.ThismaterialmaybereproducedonlywithpermissionoftheCanadianMathKangarooContestCorporation.7.Aregularrectangularpatternonawallwascreatedwithtwokindsoftiles:greyandstriped.Sometileshavefallenoffthewall(seethepicture).Howmanygreytileshavefallenoff?(A)9(B)8(C)7(D)6(E)58.Theyear2012isaleapyear,thatmeansthereare29daysinFebruary.Onthe15thofMarch2012,theducklingsofmygrandfatherare20daysold.Whendidtheyhatchfromtheireggs?(A)on19thofFebruary(B)on21thofFebruary(C)on23rdofFebruary(D)on24thofFebruary(E)on26thofFebruaryPartB:Eachcorrectanswerisworth4points9.YouhaveL-shapedtiles,eachconsistingoffoursquaresasshown:.Howmanyofthefollowingshapescanyoumakebyglueingtogethertwoofthegiventiles?(A)0(B)1(C)2(D)3(E)410.OnceLittlePiggyplanted8acorns.Inafewyears,oaktreesgrewfromallacornsexcepttwoofthem.Alloaktreesexcepttwoofthemhadtheiracorns.Acornsfromallprofilictreesexceptone,areverytasty.Howmanyoakswithtastyacornsarethere?(A)1(B)3(C)4(D)6(E)811.Inasudokuthenumbers1,2,3,4canoccuronlyonceineachcolumnandonceineachrow.Inthemathematicalsudokuonthepicture,Patrickfirstwritesintheresultsofthecalculations.Thenhecompletesthesudoku.WhichnumberwillPatrickputinthegreycell?(A)1(B)2(C)3(D)4(E)1or212.Grandmothermade20gingerbreadbiscuitsforhergrandchildren.Shedecoratedthemwithraisinsandnuts.Firstshedecorated15biscuitswithraisinsandthen15biscuitswithnuts.Atleasthowmanybiscuitsweredecoratedbothwithraisinsandnuts?(A)4(B)5(C)6(D)8(E)1013.AmongNikolay'sclassmatestherearetwiceasmanygirlsasthereareboys.Whichofthefollowingnumbersmaybeequaltothenumberofallchildreninthisclass?(A)25(B)20(C)30(D)24(E)29Grade3and4Year2012Copyright©CanadianMathKangarooContest.Allrightsreserved.ThismaterialmaybereproducedonlywithpermissionoftheCanadianMathKangarooContestCorporation.14.Intheanimal'sschool,threekittens,fourducklings,twogoslingsandseverallambsaretakinglessons.Theteacherowlfoundoutthatallofherpupilshave44legsaltogether.Howmanylambsareamongthem?(A)6(B)5(C)4(D)3(E)215.Inonekangaroofamily,thereisacustomtonametheirbabiesbynames,whichconsistoftwolettersofthewordKANGAROO:thefirstletterisaconsonant,thesecondletterisavowel.Howmanydifferentbabynamescanbecomposed?(A)8(B)5(C)10(D)6(E)1216.AtaChristmasparty,therewasexactlyonecandlestickoneachofthe15tables.Thereweresixfive-branchedcandlesticks,andtherestwerethree-branchedones.Howmanycandleshadtobeboughtforallthecandlesticks?(A)45(B)50(C)57(D)60(E)75PartC:Eachcorrectanswerisworth5points17.Thefigureconsistsofanequilateraltriangle,asquareandaregularpentagon.Itisbuiltbysticksofequallength.Atmostmanysuchfigurescanbebuiltwithaboxof2012sticksofequallength?(A)167(B)168(C)200(D)201(E)20218.Gregorformstwonumberswiththedigits1,2,3,4,5and6.Bothnumbershavethreedigits,andeachdigitisusedonlyonce.Gregoraddsthesetwonumbers.WhatisthegreatestsumGregorcanobtain?(A)1173(B)999(C)1083(D)1221(E)97519.Laura,Iggy,ValandKatewanttobeinonephototogether.KateandLauraarebestfriendsandtheywanttostandnexttoeachother.IggywantstostandnexttoLaurabecausehelikesher.Inhowmanypossiblewayscantheyarrangeforthephoto?(A)3(B)4(C)5(D)6(E)720.Agrasshopperwantstoclimbastaircasewithmanysteps.Shecanmakeonlytwokindsofjumps:threestepsup,orfourstepsdown.Beginningatthegroundlevel,atleasthowmanyjumpswillshehavetomakeinordertotakearestonthe22thstep?(A)7(B)9(C)10(D)12(E)15Grade3and4Year2012Copyright©CanadianMathKangarooContest.Allrightsreserved.ThismaterialmaybereproducedonlywithpermissionoftheCanadianMathKangarooContestCorporation.21.Frankmadeadominosnakeofseventiles.Heputthetilesnexttoeachothersothatthesideswiththesamenumberofdotstouched.Originallythesnakehad33dotsonitsback.However,Frank'sbrotherGeorgetookaway