2017-2018年美国大联盟六年级初赛

2018年美国数学大联盟杯六年级初赛竞赛数学试卷（每小题5分，答对加5分，答错不扣分，共200分）1.Pickanyintegergreaterthan.Doubleittwice,thentripletheresult.Thefinaloutcomeis（）ofyourstartingB.A.C.D.2.3.4.Barrylistenedtotheradioforhoursandminutes.Roundedtothenearestminutes,forhowmanyminuteswasBarrylistening?（）.A.B.C.D.DividebytogetaquotientandDividethatremainderbythatquotient,andthenewremainderis（）．A.B.C.D.Amanhadfivepiecesofchain,eachmadeupofthreelinks,figureHewantedtojointhefivepiecestogethertomakeabigchainoffifteenlinksandwenttoablacksmithtoseehowmuchitwouldcost.saidtheblacksmith,"Iwillchargeyoucentsforcuttingalinkandforweldingalink.Anybendingthatisrequiredisfree."Giventhoseprices,whatisthesmallestamountofmoneyforwhichthejobcouldbedone?（）Note:Inachain,eachlinkisconnectedtooneortwootherlinks.A.B.C.D.5.AbeesatontheheadofahorseriderwhosehorsewastrottingeastboundatasteadyfivemilesperSomedistanceaheadonthesamepath,anotherhorseandriderwereapproachingwestbound,alsoatfivemilesperWhenthetwohorsesweremilesapart,thebeeleftthefirsthorseriderandflewtowardthesecondhorseatarateoftenmilesper1/6Uponreachingthesecondhorse,thebeeimmediatelyturnedaroundandflewbackatthesameratetothefirsthorse.Ifthebeekeptupthisperformanceuntilthetworidersmet,howfar(inmiles)didhetravelfromthemomentheleftthefirsthorserider?（）A.C.B.D.Noneoftheabove6..WhichofthefollowingisthesumoftheprimefactorsofA.B.C.?（）D.7Ifthelengthofthelongestsideofatriangleis18,whichofthefollowingcouldnotbethelengthofitssecond-longestside（）．A.B.C.D.8.Myfinalscoreinacompetitionistheaverageofmyscoresonrounds.getafinalscoreofaftergettinglastrounds?A.,,andonthefirstrounds,whatmustbemyaveragescorefortheB.C.D.9.RicehadbreakfastonedayatarestaurantwithWheat.Whenitcametimetopaythebill,itwasfoundthatRicehadasmanyone-dollarbillsasWheathadquarters.Ricehadone-dollarbillsandWheathadquartersRatherthaneachmanpayingRicepaidhisshareofthebill,,toWheat.Atthatpoint,WheathadfourtimesasmuchmoneyasRice.HowmuchmoneydidRicehaveatthebeginning?（A.B.C.D.10.ProfessorPeachteacheschemistrytocleverkids.TheratiooffreshmentootherstudentsinhisclassisA..ThetotalnumberofstudentsinProfessorPeach'sclasscouldbe（B.C.D.（A.B.12.Bogsworthonceleftawillwhichread:2/6Bob,twiceasmuchastoBrian,twiceasmuchastoBob.Bill,twiceasmuchastoBrian.Ifhisestatewasvaluedat,howmuchmoneydidoneofhisfourheirs,receive?C.D.A.B.13.Ipaidandgotquarters,dimes,andnickelsinchange.Ispent（A.B.C.D.14.Onesideoftruckisaperfectrectanglewithanareaofwidth,thenitsperimeteris（.IfitslengthistimesitsA.B.1111125.Ifabirdinthehandisworthtwointhebush,andabirdinthebushisworthfourinthethenbirdsinthehandareworthB.birdsintheA.6.eachofthefourshelvesofbookcaseisaprimenumberofbooks.Therecouldbeatotalof（）booksonshelves.7.SevenyearsagoIrealizedthatagewouldbetripledtwelveyearsfromthen.oldamInow（?fractionswithaadenominatoraregreaterthanlessthan（IfIwritethelettersR-E-P-E-A-TstoppingIwrittenexactlytimesIwritetheletter（）letters,3/6Onmymap,represents.IfaparkshownonthemapisarectanglethatisbyA.,theareaoftheactualparkis（）.B.C.D.2221.GloomyGus'sraincloudshowsupeveryat..andeveryminutesafterthat.Itslastappearanceonisat（）..A.B.C.D.2.Ifluckynumberdividedbyitsreciprocalis,thenthesquareofluckynumberis（）．3.Aboyandhissisterwerewalkingdownthestreetoneafternoonwhentheyakindoldman.theoldaskedthemaboutthesizeoftheirtheboyquicklyanswered."IhaveasmanybrothersasIhavesisters,"heproudlystated.Nottobeleftout,thegirladded,"IhavethreetimesasmanybrothersasIhavesisters."Canyoutellhowmanyboysandgirlsintotaltherewereintheirfamily?（24.Afarmeraskedhowpigshehad.hesaid,"ifIhadjustasmoreagain,plushalfasmore,plusanothertimesmore,Iwouldhavethreedozen."pigsdidhehave?（）25.ofisof（26.Ittookminutestocyclekmtothebeach.LaterIgotaridefromthebeachtotheparkattwicecyclingspeed.Iftheridetotheparktookminutes,distancedidItravelfromthebeachtothepark?（2paintedawallpaintedpainted.paintedlessthanRick.paintedthewallthanthethatRickpainted.4/6A.B.C.D.D.D.D.223338.ThegreatestintegerpowerofthatisadivisorofC.is（）．A.B.9.Theonesdigitofthesumofallevenintegersfromtois（）．A.B.C.0.Themedianof，，，，，andis（）．A.B.C.1.Theaverageofallpositiveevenintegersfromtois（）．A.B.C.D.2.PiratePercyhascoinsinhischest.OftheSpanishcoins,aregold.IfofthecoinsaregoldbutnotSpanishandofthecoinsareneithergoldnorSpanish,howmanySpanishgoldcoinsareinPercy'schest?（）．A.B.C.D.33333.WhenIdividedthepopulationofmycitybythenumberofstreetsintheIgotaremainderof.IftheexactquotientonmycalculatorwasB.,howrnanystreetsarethereinmycity?D.A.C.4.Whatisthegreatestnumberof-by-rectanglethatcanbeplacedinsideanrectanglewithnooverlapping（）?-by-A.B.C.D.5.Howmanyfour-digitwholenumbershavefourevendigitsandaonesdigitgreaterthanitsthousandsdigit?A.B.C.D.6.Botharcsandarequartercirclesofradius,figureontheright.Arcisaasemi-circleofradius.Whatistheareaoftheregion?5/6A.B.C.D.37.Inthefigureontheright,theside-lengthofthesmallersquareis.Thefourarcsarefoursemi-circles.Eachsideofsquareist