2015-2019美國(guó)數(shù)學(xué)大聯(lián)盟杯賽Math League3-4年級(jí)及答案

（三四年級(jí)（初賽時(shí)間；2015年11月14日，考試時(shí)間60分鐘，總分200分選擇題：每小題5分，答對(duì)加5分，答錯(cuò)不扣分，共200I.Todayisacrazyshoppingdayformygym.Ibought50soccerballsat$24each,andIbought24basketballsat$34each.HowmuchdidIspendintotal? B) D)1fthelasttwodigilsofanumberare"84",thenthenumbeTmL1?tbedivisible 9mathbooksareforsaleatatotalof$117.12dictionar.iesareforsaleatatotalof$!08.Thepriceforonemathhookis...1___morethanthecostofonedictionary. B) D)Whichofthefollowinglistspulsthethreetypesofanglesinascendingorder,accordingtotheirdegreeRight,acute, B)Obtuse,right,C)Acute,right, D)Obtuse,acute,AmyisstandinginastraightlineofpeopleThereare200peoplelandingatherleftandthereare300peoplestandingatherright.Howmanypeoplea，色intheline? B) D)16 B) C) 3(846(58)6 B) Theunitsdigitofaperfectsquarecannot ,

B) C) 0)I0.Theunitsdigitoftheprod11ctoftwoconsecutiveinteger?cannut B) D)6th B) C) D)Apeifectnumberisapositiveintegerwhichisequalto由esumofitsproperpositivediviso飛．Forexample,6isaperfectnumbersince6=I23.Whichofthefollowingisaperfect1111111ber? B) C) D)Theproductofthefirst36positiveintege兀is,C)divisible

divisiblebyD)divisibleby

也應(yīng)比SuperPatwasmnning1.001km.HetookabreakaftereveryIIkm B) C) D)TommtgagemycaI,paidhalfofitspriceinthefirstmonththenpaidII(Jofitsoriginalpriceinthe B)$15,000C)$20,000D)6 B)6 C)12 D)12ofI001thatislargerthanI? B) C) D)be555minutesfromnowusing24-hournotation?08 B) C)20: D) B) C) B) C) D)?mailer B) D) D)Whichoftbefollowingnumbersisdivisibleby3butnotdivisibleby B) C) D) B) D)tornnthisdistance? B) C) D)theapplesinthebasketinmorethanIOdays,andthenumberofapplesiteatsonthelastdayis3.1fitapplesiteatsonthelastdayis2.Howmanyapplesarethereinthebasket? B) C) Nisatwo-digitnumber]\/dividedby2isstillatwo-digitnumber.Misatwo-digitnumbera幾戲witchingtheonesdigitandtensdigitofN/2.TheproductofsevenandhalfofMiseql!la!toNWhatis B) .ProfessorTonyhas9hatseachtaggedwithoneofthenumbersl109respectivelyProfessorTonyletswhichhatsarethrownaway).Eachs.tudentcanseethenumbersonthehatsofotherstudents,butnotthenumbeonhisownhai.ThenProfessorTonywritesanumberontheblackboardandtellseachstudentto C) D)365天里有多少個(gè)l000 B) C) D)3I在孮斯食堂里，每份晚餐有8個(gè)肉丸和3塊蒜蓉而包。今天賣出的構(gòu)丸數(shù)呈比賣出的蒜蓉而包數(shù)晝多600,今天瓊斯賣出了多少份晚餐？ B) C) D)一個(gè)奇數(shù)乘3以后將會(huì)是二質(zhì) B)合 C)奇 D)偶把123456789除以10000的淌轉(zhuǎn)化為小數(shù)以）旬十位和于分位的積是多少 B) D)33，前6C) C)在小鎮(zhèn)大學(xué)里，學(xué)生們的專業(yè)是音樂、美術(shù)，或兩者。如果有500個(gè)學(xué)生是音樂專業(yè)，600個(gè)學(xué)生是美術(shù)專業(yè)，300個(gè)學(xué)生是音樂和美術(shù)專業(yè)，那么大學(xué)里有多少個(gè)學(xué)生？ B) C) D)35如果你花30分鐘做了35道題目，那么用同樣的速度．你做315 C) D)一個(gè)物體的2016度逆時(shí)針旋轉(zhuǎn)，與它的多少度順時(shí)針旋轉(zhuǎn)是一樣的 前10個(gè)正整數(shù)的積，末尾有幾個(gè)C) C)有幾個(gè)正三位數(shù)禍足個(gè)位數(shù)是十位數(shù)和百 D)一一共是60輛，則在這一整條索道上（雙向）共有多少輛纜車？30 B)60 C)6l 一個(gè)程序員給編號(hào)為1-40的40個(gè)機(jī)器人寫好程序，讓它們來判斷某句話的對(duì)錯(cuò)程序員為了提高準(zhǔn)確率，在它們都進(jìn)行過一次判斷后，讓從編號(hào)為1的機(jī)器人開始，修改自己的如果其余39個(gè)機(jī)器人多，則自己的回答也為“對(duì)“，否則回答錯(cuò)＂。如果品開始有20個(gè)機(jī)20＇＇，并且“對(duì)“。那么這40個(gè)機(jī)器人按序修改自己的答案后， D)選擇題；每小題5分，答對(duì)加5分，答錯(cuò)不扣分，共200分，答案請(qǐng)?zhí)钔吭诖鹪缚ㄉ希甽 B)C)3D)Right,acute,Obtu.se,right、Acute,right,Obtuse,acute,A)B)A)B)D)I.I.D)l2.divisiblebydivisiblebydivisiblebyC92知應(yīng)比C)$20,00066121220IID)C)D)201SC)D)CC)4.5A)39,B)606l12040D)（三年級(jí)（2016年11月20日，考試時(shí)間90分鐘，總分200分學(xué)生誠(chéng)信協(xié)議：考試期間，我確定沒有就所涉及的問題或結(jié)論，與任何人、用任何方式交流或討論，我確定以下的答案選擇題：每小題55200I. 8) D)Ofthefollowing,立＿anglehasthelargestdegree- 8)an C)a lO203040＿＝50+6070

D)aD)D)2016-數(shù)學(xué)大聯(lián)盟杯Yinrounded2017tothenearesttens.Yanrounded2017tothenearesthundreds.Thedifferencebetweentheirtwonumbers2016-數(shù)學(xué)大聯(lián)盟杯 8) D)6metres+_J_centimetres+6millimetres=6666 D)A3by12rectanglehasthesameareaasarectanglewithl B)2 C)3 D)5byInJenandBerry'sicecreamshop,12scoopsofvanillaicecreamaresoldfor$36,16scoopsofchocolateicecreamaresoldfor$64,18scoopsofstrawberryicecreamaresoldfor$81,andIOscoopsofminticecreamaresoldfor$35.Whichflavoristhemostexpensiveperscooptobuy? 8) D)Thesumof123456and654321isnotamultiple C) D)Tomisamathlover!Inhismathclass,hewrotethephrase"MATHISFUN"9999times.Whatisthel00thletterhewrote? Whichofthefollowingcanbewrittenastheproductoftwodifferentprime 8) D)Aliensarehugefansofcookies.Analienhasthreehands.Eachhandhasfourlargefingers,andeachfingercanholdfivecookies.Atmost,howmanycookiescansixaliensholdintheirhands 8)360C)420Therangeofasetofnumbersisthedifferencebetweenthegreatestandtheleastnumberintheset.ThenumbersinsetAarel0,20,30,40,and50.IfeachnumberinsetAisdoubledandthenincreasedbyl0, B)80C)90100+200+300+400=(25+50+75+100)X B)16C)32Whatistheproductofthenumberofsidesofahexagonandthenumberofsidesofan 8)35C)42 l7.Theproductoftwodifferentprimescannot

3X2017=_]_720J7-;-

Thirtyyearsfromnow,myagewillbetripled.Myagenow WhenIreversethedigitsofanynumberthatisamultipleof3butnotamultipleofI0,thereversednumberisalwaysamultipleof If3teachersate12cookieseachand2studentsate14cookiesintotal,whatistheaveragenumberof ForeverypenthatStevebought,healsobought3pencilsand5highlighters.Ifhebought6pencils,howmanypencilsandhighlightersdidhebuyalltogether? to6? Theaverageofonethousandandonemillion10 B)100 C)500 D)500TworectangleshavethesameareaIfthelengthofthefirstoneishalfthelengthofthesecondonethenthewidthofthefirstoneis立＿timesthewidthofthesecondone. Johnlovescollectingstamps!Ifhedividesthenumberofstampshehasby32,thenhewillhave30remainingstamps;ifhedividesthenumberofstampshehasby9,hewillhave7remainingstamps;ifhedividesthenumberofstampshehasby7,hewillhave5remainingstamps.Howmanystamps,atleast,doesJohnhave? Eachofthe40studentsinMr.Talent'sclasspossessesatleastoneofthethreeskills:singing,dancing,andacting.If28studentsknowhowtosing,26studentsknowhowtodance,and31stt1dentsknowhowtoact,atleasthowmanystudentspossessallthreeskills? JackisagiftedathletewhohastrainedhardfortheOlympicmarathon.Inthelasthundredyardshefindstheinnerstrengthtoincreasehispaceandovertakestherunnerinthesecondplace.Butthen,withthefinishinglinejustaway,heisovertakenbytwootherrunners...

InasequenceofIOnumbers,theaverageoftheIOtermsis13.Iftheaverageofthefirstthreetermsis7andtheaverageofthenextfourtermsisI0,whatistheaverageofthelastthreeterms? If1apple,2bananas,and3cherriescost$9intotal,3apples,2bananas,and1cherrycost$7intotal,whatisthetotalcost,indollars,of1apple,1banana,and1cherry? Iftheperimeterofarectangleis32,whatisthemaximumpossiblevalueforits Inaclassof40students,30studentsgetA'sonthemathtestand20studentsgetA'sontheEnglishtestsAtleasthowmanystudentsgetA'sonbothtests? I2315 8) 36個(gè)三角形的兩條邊的長(zhǎng)度分別為1011,A)l9 C)l7 D)l637從1到20的20個(gè)整數(shù)，每個(gè)整數(shù)除以6,所得的余數(shù)的總和是多少？ 明在考試中獲得95分，那么他答對(duì)了多少道題？ 9+99+999+9999+...+9999999999（最后一項(xiàng)有10位數(shù)字）8)8)40約翰的錢比吉爾多20美元。他們兩個(gè)總共有42美元。請(qǐng)問約翰有多少美元？ （三年級(jí)選擇題：每小題5分，答對(duì)加5分，答錯(cuò)不扣分，共200分， ananaalby2by3by5byI10100500500B)B)（三年級(jí)（初賽時(shí)間：20171126日，考試時(shí)間90分鐘，總分200分學(xué)生誠(chéng)信協(xié)議：考試期間，我確定沒有就所涉及的問題或結(jié)論，與任何人、用任何方式交流或討論，我確定我所填寫的答案均為我個(gè)人獨(dú)立完成的成果，否則愿接受本次成績(jī)無效的處罰。I.5+6+7+1825+175 C) JohnandJillhave$92intotal.JohnhasthreetimesasmuchmoneyasJill.HowmuchmoneydoesJohn Tomisabasketballlover!Onhisbook,hewrotethephrase"ILOVENBA"I00times.Whatisthe500th An8by25rectanglehasthesameareaasarectanglewith4by10by

6byWhatisthepos山vedifferencebetweenthesumofthefirstl00pos山veintegersandthesumofthenext Youhaveaten-footpolethatneedstobecutintotenequalpieces.Ifittakestensecondstomakeeachcut,howmanysecondswillthejobtake? Amyrounded2018tothenearesttens.Benrounded2018tothenearesthundreds.Thesumoftheirtwonumbersis Whichofthefollowingpairsofnumbershasthegreatestleastcommon C) Forevery2pencilsDanbought,healsobought5pens.Ifhebought10pencils,howmanypensdidhe TwentydaysafterThursday C)WednesdayOfthefollowing,..1__anglehastheleastdegree-an 8)an C)a D)aEverystudentinmyclassshoutedoutawholenumberinturn.Thenumberthefirststudentshoutedoutwas1.Theneachstudentafterthefirstshoutedoutanumberthatis3morethanthenumberthepreviousstudentdid.Whichnumberbelowisapossiblenumbershoutedoutbyoneofthestudents? Aboyboughtabaseballandabat,paying$1.25forbothitems.Iftheballcost25centsmorethanthebat,howmuchdidtheballcost? 2hours+_.1_minutes+40seconds=7600 Inthefigureontheright,pleaseputdigits1-7inthesevencirclessothatthethreedigitsineverystraightlineaddupto12.Whatisthedigitinthemiddlecircle? If5adultsate20appleseachand3childrenate12applesintotal,whatistheaveragenumberofapplesthateachpersonate?

Whatistheperimeterofthefigureontheright?Note:Allinteriorinthefigurearerightanglesor

Thirtypeoplearewaitinginlinetobuypizza.Thereare10peopleinfrontofAndy.Susanisthelastpersonintheline.HowmanypeoplearebetweenAndyandSusan?Thirty-ninehoursafter9:00AM

B)12:00 C)8:00200+400+600+800=(}+2+3+4)X

11...11(thenumberconsistingof2016l's)isnotamultiple C) D)lllllTheaverageoftwothousandsandtwomillions

Atrianglehasthesameareaasasquare.Ifthelengthofabaseofthetriangleisthesameasside-lengthofthesquare,andtheheightofthetriangletothebaseis4,whatistheareaofthe

WhenVoltafoundafieldintheshapeofanisoscelestriangle,shewassoexcitedthatsheranalaparoundallthreesides.Twosidesofthefieldhavelengthsof505meach,andthethirdsidehasawhole-numberlength.WhatisthegreatestpossibledistancethatVoltamighthaveruninonelap?25X66=75Thenumberthathasanoddnumberofwholenumberdivisors Inasequenceof8numbers,theaverageofthe8termsis15.Iftheaverageofthefirstthreetermsis16andtheaverageofthenexttwotermsis15,whatistheaverageofthelastthreeterms? Allyearsbetween2000and2050thataredivisibleby4areleapyears.Nootheryearsbetween2000and2050areleapyears.Howmanydaysaretherealltogetherinthe17yearsfrom2010to2026?

Thesumofthehundredsdigitandthetensdigitof2357 Whichoftheexpressionsbelowhasthegreatestvalueof(quotientx27-c-57-c-

47_,_6Ihavesomedimesandnickels,andtogetherthesecoinsareworth$3.IfIreplaceeverynickelwithaquarter,Iwillhave$5.HowmanydimesdoIhave? Igetis9,Iputthatwholenumberonmylistoffavoritenumbers.Ofthewholenumbersfrom1000to9999,howmanywouldIputonmylistoffavorite

TheproductofallprimenumbersbetweenIandIO

D)noneoftheWhatistheaverageof12,14,16,and 8) C) D)WhenJonshoutsoutawholenumber,Alshoutsouttheproductofitsdigits,shoutsouttheproductofthedigitsofthenumberAlshoutedout,andCyshoutsouttheproductofthedigitsofthenumberBarbshoutedout.WhenCyshoutsout18,whatnumbermightJonhaveshoutedout?Eachbigboxcontains3mediumboxes,eachmediumboxcontains2smallboxes,andeachsmallboxcontains5apples.Howmanybigboxesarenecessaryfor1200apples? 2lAEighteenyearsfromnow,myagewillbe4morethantwicemycurrentage.Myag2lA6lCEachtimeWandawavedherwand,4morestarsappearedonherdress(whichstartedwithnostars).Afterseveralwaves,Wandamultipliedthetotalnumberofstarsthenonherdressbythenumberoftimesshehadwavedherwand.Thisproduct6lCcannot