20102015年AMC10A和B竞赛真题及答案(英文版)

2010-2015年AMC10A和B竞赛真题及答案（英文版）你好，目前，只分享了2010-2013年AMC10A和B竞赛真题及答案(英文版)，2014-2015年的暂时还没有上传，等采纳后再私信我吧！需要的话，我可以将Word文档中的原图文件一同发给你，求采纳，毕竟我花了差不多一个下午才整理完，谢谢！(@_@)2010年AMC10A竞赛真题及答案(英文版)Ally'swpbQokshafholdsfivewithtii-e比肚win旨widths,incentimeters^b.2.1.2,.>.imd10.VhAtistheaverageh(wtk^idth.inczcntinicrcr^?TOC\o"1-5"\h\z值)1 (B)2 (C)3 (D)4 (E)51(niridentical上句uhetxandoikredangkiirt?placed, tnfnnne】i】c?I卩『譬esquare曲sliown.Lhe?Icn^liofthe『配tangiti*Iiomni^nytinier岫largeilnitswidth?JA)I(B)§ (C)I(D)2 (E)3lyrsinchad^7marbitsandErieluid-hiikirbk^.lyr^iKthengiivttitI】記niiirbksMEric Hurtlyr^aieontiedwitht僅m^iiymurhk>;Erie,manymarblesdidIyronegiveI:ric?\o"CurrentDocument"(A)3 (B)13 (C)18 (D)25 (E)2SAb«H)kthatistntx?recordedkmtacompactdisc^tukthi^111131uk'.storeadE^iclidi^ccmiholdupm ofn?ndin^.Ais^miictlikitthesmallpissibknumbernfdiscsislls€<1andthateachdisccniitain^th始shitk(rfreading.Hh>y111anyminuternfraidingwillcuchdihiccontiiin?(A)50.2 (B)5L3' (C)52.4 (D)53.5 [E)55.2Ihcnrea(ifardcwliofit'circuiiitlTcuceis Whati^ithcVktlueMAr?(A)6 (B)12 (C)24 (D)3& (E)144ForgiGsitivf?numbersricinduthcnperutinnylisdefinedas•(hj)=£--uAVhath・(2,*i2?)〕•「囚I⑻1 (C) (D)旨(E)2Cryl】tw壮ninning□mst?markedouttorherdkiihrun.She^tart^tbi*ninbyhc^din^duennrthnnemik.Shethen111113;northodstFm:m的luiLc.thenNuuthca^itfcrmntm晦TheI^Ntponioii(itherruntdkthher汩】»Nmiglitlinelx技ktuwheresheHtartod.H(nvfar.inniikMi$thislu^t卩MtiwMherrunt'(A)I(B)曲(C)匹(D)2 (E)2疗Im?时rkx2加ursatday田】d房paid3卩徜Imur询te"bfull?牌『ofhiis龍巳DuringaisixmonthperiodThuyworkednndearncdHomld料细loinkittlic-<ndofthmixinnnthperi(wlV[A)9(B'l11 (C)12 (D)U(E)14Ap♦押nd世suchas kunuiiiberthatrciiuiinstheMilliewhenitndi^it^arcreversed.Hienumberhhmi(1t+32^rethree-digitandfour-digitp^lisidroinc^,rcspccti^ilv.Wluitkthesum卩ft"di貿姑oft?[A)20 (B)21'(C)22 〔D)23fE)24頂-ILi日inlindsihirthdiciyonLucmlay.Muy27iuth：tleap\VAr2008.laftwhatwarvdllhishirihdavsicxttall邸hSatiirdiiv?[A)iOil(B)2OL2(C)2013 (15)2015 (E)2017JJ-"Hielength(itJthcintervalnt"s(Tliiti()3i5nftheinedibilityfj*+3£6is1A.AYliat詛h-n?fA)6 (B)10 (C)15 (D)20 (E)30J2-L”gunconstructina^c^lcdiiwdclnfhiistn^iLlh<city\wvatcrtovY<rstands41)high.andthetopportion\aaspherethatInrldhJOfiJHHIliters(rt>¥wtcr.L哗arThmin妆turc?watertowerholdsH.Iliter%Mil,inluekrs,shouldmakehistover?(A)0.04 (B) (C)0,4 (D)1 (E)4J3-ArgdinHdrcn€atanaMTagtratenf扁，kphamtHk]]stopped如miiiuti?>if(irgrts.AttcrthehtnpMhcdroveataniivenigcrateof^kph.Altogetherhhcdrove'^Ikininat^tultriptime(4'^thnLirsijicludiiigthestog).WhichwLkUinnmmldIku^cdtothrdietiiiK^iniKiunitlidt引我tlr"c?beforeher[A)威4-1贓G-公=25() (B)命=濒(C)lODfM250Q(D}90f=250 (E)80信T)+100?=25014-】「i細ig恥、日段厂11部」「丄砰nandrbvm1u/'.rcjspectix^h.汹Eub龍/RAT=/Q.Let「恥theimtrwdJm】nf.hegnicutsA『Hnd♦F.andsupp(is-ethut/'iscquiliiMral.Whittas/音厂E〔A)60。 (B)75’ (C)SXJ"(D)105， (E)120cJ5.InaUlricaI睥itnipthtretiretwdSpecksofMlkingaiuphibi^ii^:toads.wlm««EtHtcnicntEnwia.K¥d\^tru^HHtlfrn卧.wlih批 wremtwu髀iyhc?.Fouranipliibhii^i,Brian,Clirih,LeRtn.uudMikelivetogetherinthisswamp,^ndth0}mukcthcfe)llnv¥in^bty.tcinciits.Erian:"MikeandItiredifferent^pcdch.11Chrib：‘侦代叫话am】g.‘‘M叩谖;Z长盘叩您Mikth：'OfthefsiLirsrtJus.atk?虬时Eharctoiid^i.''H?)viiuinv(rfMhcsc竊iphihiu独liretTng"?(A)0 '(B)1 {C)2 (D)3 (E)4J6-:X^indegciierkiteAABCIuhintegcr^idcIcn^thn.BI)inmlihli提biStetor.AD=3.mid1^CT=&\\liati$the.suialkstpossiblevijkieoftheperimeter?(A)M(B)勇(C)35 (D)36 (E)3717.XsolklcubtIisidelength3inclic^.A2-indihy2-inthHqikirchnk诂cutintothecenterofeiielitkec.IIkod^ci,ntonthcutnr-ccltnthethecube,andisachhotegwsalIthewaythroughthecuIk.VVbutisthevolume,inciiNcinclicH.oflh€i'cinaiHiiigsolid?(A)1 (B)8 (C)10 (D)12 (E)15JH-Bcniiirdorandoinkpick^3dihtiaKtnuinbcrhfromtheset{L2.3.43*6J*8.9} rangesthemindescending«brdcrt^forma3~digitiminlKr.Sihiarandnnihpickn3distinctmimbc新fromthe{1,2.3=,4^&6*ltihomriqn^esthornineLwtendihjjnrdortnfurina3-digitiiuiiJkt.\\hatkthfprob^NlitythatBernard/.%numbtr*largerthanSiliia'hinumber?47 37 7 49 39(A)毎田)市(C)舌(D)我(E)號

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(E)UO23-Eiicliof201Ohovoninlilirec(mtai]i!sasisi^kredmtirbk.andfor1苴E土2010,t|]tinthe翻11卩卅由浏押1糸】£臨拍爲hiRmarbles.LetEH脸thIwIkjIIhImgins灘thefirstbnt^ucctsMvchtlrnvs■頂ngk?murbkntrvnid^Hiitroincachl〉n*.innrdcr.Shc对仍用刊hriLetEH脸theprobability'tlidtIsubdIm牌叩弓Mtwdr^win^exiictlynnifirblas.Whatistlic.miiRlIestvalmif7?t«rwhich(A)45 {B)63 (C)珥(D)201 (E)1(XX524.'I'licnumberobtHiiiedfnimthelasttwonmizenidigihntJSihequaltnn.24.'I'licnumberobtHiiiedfnimthelasttwonmizenidigihntJSihequaltnn.VMintis(A)12 (B)32(C)48(D)52(E)関r22pr22pb一-一一M25.Jim血出withapositiveintvgtr"Hidmuksuhvqucucclit*numbers.Eidich*;ucccj;^ivcnumber出obtaincdbyKubtrdietingthelnrsJC!4p■収ihli?integersquirt1lesstluii]orcqu^il(□th^CLirrentiiuiuheruntilz-cre)isreiaclifd.Forexample,ifJiinHtarthwithn—5S.thenhisjsct|uchcocoittnins>3nuinhfL>i：55=6ZZZ22=1=nTheJlih^sequ€nc«has^ruinIxth.TheWhatistlicunibdigitnfX?国1 (B)3 (C)5(D)7 (E)9J'roblemJ234■67&9IDli\113AnswerDBDB-ECCDEDcAProhlcni14151617IN192112J22232425AnswerCDEABEAAAA1.Mary^topback^hdfholdsfivebookswith(befdlcmagnitlths,insxi】tinNh?E5.2.1.2>.and10.Whatintheavtragc-b?xik^idth,incentimeters?⑴1 (B)2 (C)3 (D)4 (E)5'Fouridenticalsqi&ivsandorerccLtiiglc?^rcplaced,togtthcrt<itnnnlinekir告csquare耕血mnThelengthnfthercctangkis manytiin<sasLtr甄asitswidth?(A)I(B)I(C)I(D)2 (E)3"IAtsmichtidfl7iHiArblesandErieiuid1Imarhlw;.1'yr^jKthengmTA圳inofl】ixiiuirbk^t。EricxhthdllyrniKcndedwitlitwict?nikiryniiirhlch四Erie.H^)wiiidnymarblesdidIyr^megit*h>Erit?(A)3 (B)13'(C)18 (.D)25 (E)254.Ah^ikth^.tikrnberecorded瑯t。cump^ctdisest^k^sH^iiiiimtcKtnreaduhmeL.Eachdisccanholduptn^iiiinLit^ntrvading.A糸uinelhHtthesniullcstpt^^iblcnumber诚睡疇kuwdandtliidteu.chdiw“HitHiiisthekhiimkn^thrwidi】】g.Hn^¥nidin ^)fraidingwill毛觀chdisc(A)50.2 (B)51.5' (C)52.4 (D)53M (E)5525-Ilicarta(4*atirdewcircuintVrciKti'」齊珍Whaththev^lut'(A)S(Bl12(CJ24 (D)36 (E)1446>Forp^itivcJiuiiibcr^|-tinduthcnper\iti(ni・BU廳ch淑归f後釧3)=工-§U'lwt餃•《・(，*2巾囚I(B)I(C): (D)I(E)27-Cryst壮II1U5arunninguni珏t?marked,nuttorherdkiilyrun.ShexTHrtsthisnil】byI恥顼dingduen(irtlit^ronemik.Slidhcnruiuiiiortlicdstf£iroawmile,thensnutlicastfur(micmik.Thelustptinhinherruntak-c5ihernnh“mightlinebwrkhtwhere?Khestarred.Hnwf^r.inmilcM世tliihilustpardonMherrun?(A)1 (B)有(C)匹(D)2 (E)Mlonyworks^hountadayandispaid湖perhourforeachfullyear(ithisage.DuringuNivmonthperiodIonyworked5()dinsmidearnedSfi30.HomoldwasTonjattheendofthesixmonthperhU?(A)9 (B)11 (C)12 (D)13 (E)149-Ap油一击冏1Q,suchasS343^.isanumberthatrcmainsthesamewhenitsdibitsarcreversed.Ilicnumbers^aiidx+32arcthree-disjitandfour-digitpalindromes,rcspcctivclv.Wliatisthesumofthedigitsofr?(A)20 (B)21•(C)22 (D)23 (E)24HLManinliadabirthdiiyonluesday.May27intheleapyvar2008.InwhatvearwillhiNhirthritnnextfalltmaSaturday?(A)2011 (B)20i2 (C)2013 (D)2015 (E)2017Hielengthoftheintervalofsolutionsoftheinequalityo<2r4-3<6is10.Whatish-』?(A)6 (B)10 (C)15 (D)20 (E)MLogunisamslmetingasealednuidclnthistoxvn.Hiecitj\watertoverstands40inttcrshigh,andthetopportionisaspherethatholdsMMUWOlitersofwater.Logaifxminiaturewatertowerholds0.1liters.Homtall,inmetersshould侦gsmakehistower?(A)0.04 (B)— (C)0.4 (D)土(E)4J3-Angelinadro^catanaveragerateof^kpliandtli^nsteppedminute'sf(irgas.Afterthestup.shedroveatanaveragerateof^kph.Altogethershedrove inatotaltriptimeof-^hoursincludingthestop.Whichequationcouldheusedtosolvet(»rdietimehoursthatshedrovebeforeherstop?(A)欧+100(I一t)=250 (B) =250 (C)100/=25C(D)90/=250 (E)80(I一£)+100/=25014-Triangle△井厂‘hasar—0. f?ai)d尸机、on4,?andwr\rcspectivily.suchthat/只4尸=/4Ln.Letrl>etheintcrwctieinofsegments占^andandsupposethatETpisequilatcral.\\hatis/ACR^(A)60° (B)75° (C)90。 (D)105° (E)120cInamagicalswamptherearctwospeciesoftaikingamphibians:trad5.ulioscstatementsarcalwaystrue,andfrogs,whosestatementsarcaKvuysfalse.FouramphibiansBrian.ChrisLcRoy.andMikelivetogctlwrinthiss^vamp.andthc\inukcthefollowingstatements.Brian;Wlikcand1aivdilfcrciitxptuic、.”Cliris:'LcRoyisafhig」'LcRoy："Chrisisafrog.”Mike:'Ofthefourofus.atleastnvoarctoads.MHomnunvnftheseumphibiansarcfro寧？(A)0 (B)1 (C)2 (D)3 (E)4XoiidcgcncrateAyl/?Chasintegersidelengths.BDismianglebisector.AD=3.andDC—8.WhaththesmallcsrpossiblevalueoftheIK'rinietcr?(A)30 (B)33 (C)35 (D)36 (E)37Asolidcubehassidelength3inclies.A2-inchhx2-inchsquareholeiscutintothecenterofeachface.TheedgesofeachcutartparalIcltntheedgesofthecube,andeachholegoesalIrhewaxthroughthecube.Whnlitthevolume,incubicinches,oftheremainingsolid?(A)7 (B)8 (C)10 (D)12 (E)15IS-Bernardorandomlypicks3distinctnumbersfromtliesetIL2・3,4.5,6.7?8.9}森丽arrangethemindescendingordertoforina3-digitnuinlicr.SilviarandomKpicks3distinctnumbersfromtheset{L2.3.4.5、6.7.町andalsoarrangesthemindescend!ngordertoforma3-digitnumher.WhatistheprobabilitythatBernardo'snumberislargerthanSilviasnumher?⑴*⑻監(C)：Wg(E)當19-Equiungularhexagon4RCDrriias斷dolengthsAli=(U)=EF=landH，'=/)卩=人\4=r.TheareaofAACTjsofthearea«ifthehexagon.AMiatistliesumofallpossiblevaluesof俨？(A)蜉(B)y(C)4 (D)扌(E)€2(1.Aflytrappedinsideacubicalboxwithsidelengthhmterdccidtsrelieveitsboredombyvisitingeachcomerofthehox.Ltvdllh华inandendinthesamecornerandvi侦teachoftlieothercornersexactlyonce.Togetfromacornertoanyothercorner,itwilleitherflyorcrawlinastraightline.Whatisthemaximumpossiblelength,inmeters,ofitspath?(A)4+4/2 (B)2+4、厄+M(C)2+3/2+34(D)4/2+M(E)3血+5v"3Thepolynomial择—打撰+心—threepositiveintegerzeros.Whatisdiesimllestpossiblevalueof扣!(A)78 (B)88 (C)98 (D)108 (E)118Eightpointsarcchosenonacircle,andchordsarcclranuconnectingeverypairof|x)ints.Nothreechordsintersectinasinglepointinsidethecirck.Hsi^ymanytriflngkhitli^11threevcrtitcHintli^i]itt?]inr(4thecirdcart?created?(A)2S(B}56 (C)70 (D)84 (E)140ZJ.Eiichof2010b(ive^in虬lire?^cntuiit|口負1璃人rodm»rMc,andAir1氏E二2010,thtinthcHll卩而tini[瓦岡cmitHiiisfrwliitenuirbks.1陶KqIIhhe5thefirstbnxund^uccc^ivclydniw*；u馆ngle?inurbk'Mnuid.uinfruiii京uzhbox,i】】order.Shewtopswb臼】wliefirstdni^surednuirbk.Let尸(n)bcthcprobabilitythatiKkibdl^imips啪erdrawingexactlynmarbles.Wlmtis value(it-uhnwhichSHo?(A)45 {B)63 (C)&4 (!))201 (E)10WThenuuilxr□bhiiiicdfniiiithelasttwoiimizcnidigits冲-种kc(jualInn.VMmtism?(A)12 (B)32 (C)惡(D)52 (E)咽Jimstartswithapositiveinteger dun?航exas^qiifiicc«4daiumbers.Ekicli匕Li匸匸fssivcnuiiihcrisE】hhti】H?dbysuhtrkKtingtheIh『盤rdpossibleintegersquHix?k?ssthannrcqu^ilhithecurrcntnumberuntilzer?)isreached.F^rcxiimplc.ifJiinntart^withn=55.thenhishccjucncc(:卩ntaii那^nuirJKi^:55TOC\o"1-5"\h\z55 - 7s = 66 - 2s = 22 - I3 = 11 - 1急=0Let^betbesmalk^numberforwhichJim'sseqii€ucehas&】umhcrx.Wkdisthtuiiibdi^itofX?\o"CurrentDocument"<A)1 (B)3 (C)5 (D)7 (E)92010年AMC10B竞赛真题及答案(英文版)LWhatisW(W-3)~(100100-3^(A)-^,00) (B)-10,000 (C)-297 (D)-弓(E)02iMaka]laat[endedEwdmeetingsckinnjiherE)-iiourworkclayj1hefirstmeetingh)okISinhiiiiTsandthesecondineetuijitooktinceashni以 hatpercentofherwoiktlavivasspeiKafiEiidinsmeetinns?(A)15 (B)20 (C)25 (D)30 (E)353iAdrawercontains『ed$jireeBijblue*andwhitesockswithatleasi2ofeachcoloi\Whatistheiniiumiunmimbe]-ofsocksthatmustbepulledfrmnthedrawerto^uaranieeaiiiatehii^pail?(A)3 (B)4 (C)5(D)S(E)34.Foraleal.HLiinbert,defineJ')tobetheaveiayeofjrand:r4WhatisD(L)Z(2)+V(3)?(A)3 (B)6 (C)10 (D)12 (E)205・Amonthwith31tlayshawthesameiiiunherof31outlaysandMednestlaysJloM'manyofthesevenclaysoftheweekCDuklheihefirstdayofChismonth?(A)2 (B)3 (C)4 (D)5 (E)66・AcircleiscenteredatOfadiameterandCisapointonthecucleinttij^COB= .Whatisthedeyreemeasureof£.CAB2(A)20 (B)25 (C)奄(D)50 (E)657,Atnanylehassidelenjitiis1U?1〔).and12.Arectangletia??widthlandareaequaltotheai-eaoftherectangle.Whiifisihepenmeterofthisiectangle?(A)LG(B)24 (C)2& (D)32 (E)36manvvaluesfoi-J'arepossible?(E)58.Aticket：toasdwotplaycostidonais.where扇awholenumhetAjli'oupof9thjn'aclersbuysticketscostinjiatotalofs48,manvvaluesfoi-J'arepossible?(E)5(A)f(B)2 (C)3 (D)4凱LuckyLain'steachera^kedhimtnsubstitiitenumbersfora.h,c,<f,andeintheexpressiona~估一(厂一W*「))h】ulevaluatetheresult.LanyigiioieclilieparenthesebutaddedandsubtracteclcorrectlyandoMahiedthee加Teiifresultbycoincidence-ThelumiberLarit<?iistituedforff?bfe?anddwere1,2,Xand1?re^pectkely-WhatnumbercliclLarnsubstitiuleforc?(A) 5 (B)-3 (C)0 (D)3 (E)510：：Shelbydiivesherscooterataspeedof30milesperhourIfitisn说millingazicl2国nilesperhoui*ifitislainui^.1'odaysheclioveinthesuninthemoniinjinndintheruinhitheeienin爲foratotalof16milesin40mi】ULte%HowtnaiivmimitesdMshediivehitherain?(A)18 (B)21 (C)24 (D)27 (E)301L4shopperplanstopureliaseanitemthathawalistedpriceyreaierthan$100andcannseanyoneoftheIhreewupiiw.CouponAyives15%offftwlistedprice,CouponBfjivesS3Onffthelistedpiice.andCouponCjiives thearnouiuhywlrichth^H有edpi-iceexceeds$100.Letjrandyhetkesmalle由and屈單e宓prk5e^respectively,forwhiehCouponAsavesatleastnsmanvdoUnrsasCouponBorC.WhatisV—h?(A)50 (B)60 (C)75 (D)80 (E)10012,At thebejiinnlup oftheschool year, allstiulentsin Mir-Wells1ninthclassaiiswei'eclf,¥es''toHiequestionr，Duyoulovemath'\and50%answei'ecLJXo/'Attheendofthesdioolyear,"^%a]iswei-ecl+'YesHand30%aiisnrnvs'AiUo^ether,危%心fthestudentsgaveadiffereniansweratthebejjiimhi^andendofthesctwolyeai\V\hatisthedfffereiieebetweenthemaxiinuinandthemiiihmunpossibleialliesoft?(A)0 (B)20 (C)40 (D)60 {E)8013^Whattslliesumofailthesolutionsof"=I眇一网一跄||?(A)32 (B)6G(C)92 (D)120 (E)1Z4J4,HieaverageofthejiuiTibersL'2.3：…-OS.99midjtls100电WhatisT?咼(B)崙(C)l(D)A(e福15.Ona□O-qiiestipnmiUHplechoicemaUicontest«sUuLenisreceive4pinntsfoi-acorrectansivei?Opointsforananswerleftbla3ik?and—Ipohufor如iincorrectan^veEJesse?stotalscoiiebnthecontest99*『hMkthemaximLirnnumberDfqiiesEionsthatJesseconkIhayeaiisweieclcorsectlv?(A)25 (D)27 (C)29 (D)31 (E)33 亠16,A^qiiaiTofsidelengthlanda.circleoflaclins3share(hesamecentersVhatistheareainsidethecircle,butoutsidethesquare?(A)J-1 (B) ~ (C)*P)i(E)17_.EvenhighschoolinthecityofEndidsentateamof^studentstoainatiicoiuestEachparticipanfinthecomestreceiveda[lifTereni导cot巳Aiubea'sscorewasthemedianamongallstudentsamiherswasthelustiestscoi'eonherteam-Anchea'steammatesUeihandCailaplaced37tliand5-kh,lespettively-IIowmanysdioolsmein由ecih?(A)32 (B)臨(C)24 (D)25 (E)26]幻Positiveintepeisa,andcai-erandomlyandhidependentlyselectedwithreplacementfiointhesei{1点3..…201。}\卩曲is(fieprobabilitythat■abc-\-a.bA-<iisdivisiblehy3?3、1 如「 31 11人、13(A)-但)訂(C)— (D)— (E)27Acirclevitliceiitei1area156tt.Inanyle4/?CkeqtiHaiei'aLHC'kachoiclon.thecircle.QA=47^.andpointOkoutside^AI3C\Whatisthesidelength,of△AEC't(A)2\/3 (B)G(C)4v<3 (D)12 (E)1820IwocirclesHeoutsideregularhexagonABCDEF.ThefirstistalenttoA瓦tiiulHiesecondi$tsiiigent4oDR*BoikarefangeiilmlinesBCmidFAt\Miatistheratiooftheareaofthesecond碰應tnthatofthefirstcircle?(A)18 (B)27 (C)3G(D)81 (E)1082!：ApalhidromebebveenIDOflaiul chosena*raiiclotn.WhatistheprobabilihthatUisclhLsibleby7?(A)备(B)l(C)|(D)l(E)：22■：,Sevendistinctpiecesofcaiulyaretobeclistrihuteclanionsthreeba比晶1'heredLagandthe虹luebaymusteachreceiveatleastonepieceofcandy;thewhiteha^jmayletnainempty.11(>«'manyarraii^einentsarepossible?(A)1930 (B)193? (C)1932 (D)1933 (E)193423.theentriesina3X3^rrayindude砒1theclintsfromIthronjih次arran^ecLsothattheentnesineveryrowandcokuniiareuiincreasingorder-Ilotvmanysuchan-aysarethere?(A)18 (B)24 (C)36 (D)42 (E)60

24.Aschoolbasketbail毒nnef)ehveentheRaidersnndwildcatswastiedattheencloftheflrsi:quarter-ThenumberofpointsscoreclbytheRaidersineachofthefourquartersfonnedanincreasingjieotnetncsequence.andthelumibei-ofpuhUsscoredbythe\\iklcatsineachofthefourquartersfolinedaninereasiiijrlu'ithmejlcsequence.AtHieendofthefourthqualiei\theRaidershadnonbyonepoint.Neiiherteamscoredmorethan10Opuints.Whatwasthetotalluimberofpointsscoredbyiiieteamsinthefirstlialf?(A)30 (B)(A)30 (B)31 (C)32 (D)33 (E)34thatF。)=F(3)=P(5)=F(7)=气andF⑵=P(4)=P(6)=P(8)=一凡Vhatisthesmallestpossiblevalueofm?(A)105 (B)315 (C)945 (D)71 (E)8!Pioblem123456789101113Answe]-CCCCBBDEDcADCProblein141516171819202122232425AnswerBCBBEBDECDEB2011年AMC10A竞赛真题及答案（英文版）Acellphoneplancast?$20eachiiionth,plu.s-5fJpertextmessagesent；,plus1Of!foreachminuteusedaver30hoursrInJanLiatyMichel"sent100textmessagesandtalkedfor30.5hours.Howmuch,didshehavetopay?(AjJ24.00 (B)$^4.50 .(Q捉5；5CI (D)£2^00 (E)$30.00Asmallbottleofshanipoocanhold'35millilit或歸cifshampoo,WhereasalargebottJecanhold500tnillilitersofstiampoo.Jasniitiewantstobuytheminimum1111^11)erofsmallbottlesnecesarytocoirpleteiyfillala电ebottle.Howtrianybottlesmustshebuy?CA)11CB)12 CQ：13: (D>14 〔E)15"Suppose[ab]denotestheaverageofaandb^and-fatic)denotestheaverageofanbnandc.Whatis-f(!I□}[01]麒Let.XandYbeihefoUcvangsumsof sequsaces:X=10+12+14+...+100.Y二12+14+16+...+102.Whatis加。valiEOofi-r?(A)92 (B)98(C)>ioa(D)102 (E)112Atanelementaryscliool,thestudents-inthirdgrade,fourthgrade,andfirthgradernnanaverageof12rIS,and10trdnutesperday,respectively.Therearetwiceasmanythirdgradersasfbufthgraders,andtwrice對manyftiuithgradersasfifthgraders：Whatistheaveragenumb&rofinittutesiunperdaybythesestudents?'(A)1T ①)孚 辑)"罕 <D)-13. (E)14SetAhas20elsments,andsetBhas15elements-WhatisthesmallestpassiblenumberofEleinentsinAUB：；;theunionofAandB?………"WhichofthefbllowngequationsdoesNOThaveasolution.?(A)(a+7)5=0 (B)项=D(C)-v-2=0(D)、hY=0 (E)3—4=。*Lastsummer30%ofthebirdslivingonTownLakeweregeese/.25%:wereswan更10^wereherons,and35魅wiereducks.WhatpercentofthebirdsihatwerenetEwans；weregeese?(A)10IB)30 (C)40 (D>50 (E)609.ArectangularregtonisYaundedbythegraphsoftheequationsy^r尸h,4】*andK=d?whereaPb,c,andd.ai'eallpositivenurnbers.Whichofthefollowingrepresentstheareaofthisregion?(A)ac+ad+bc+bd(B)ac-ad+bq-tid(C).ac-i-ad-bc-bd(D)-ac-ad.+tic+bd(E)ac^-ad-be+bdAmajorityofihe20students'inM?.-Desmeanur^classboughtpencilsattheschoolbockstore.Eachofthesestudentsboughtthesamenumberofpencils-,andthis-nuniterwssgreaterthan1.Thecostofapentilincaitsgreaterthanthenutriba-ofpencilseachstudentbought；,andLhetotalcostofallthepencilsuseS17.-71.Whatvrasthecastofapencilincents?(A)7 0)11 (^C)：;17 (D)：23 (EX77.SquareEFGHhasonevertexoneachsideofsquareABCD.PointEisanABwithAE=7■EB.Whatistheratiooftiiearea.ofEFGHtotheareaofASCD?釦Si(C)l①)半(E)平Hieplayersanabasketoallt^ammadesamettiree-pointsh.ots；3ometwo-point±ots,someone-pcintfreethrows.Theysconedasmaiiypointswi±two-pointshotsaswiththree-pointshots.Theirnumberofsuccessful±eethrowswasonemorethantheirnumberofsuccessfultwo-pointshots.Theteam^totalscorewas61points.-Hawmanyfreethrowsdidtheymake?(AE(B>14 ©15 ①)1* <E)1711Howmanyevenintegersanctherebetween200and700^osedigitsarealldifferentandcomefromtlie_set(1, 8；P)?(A)12. (B):20 (Q-72S；D)120(E).200Apairofstandardelidedfeirdiceis'nolledonce.Thesumofthenumbersrolleddetaininesthediarruet&rofacircle.Wh^tisth.eprobabilitythattheiiumeticalvalueoftheareaoftheeitrieislessthaiitheiTuiYiariralvalueoftheciirle^circumference?f吵肯(0:①)4' 5房Royboughtanewbattety-gasolitiehybrid滅.Onatripthecarrane^clusivelyonitsbattayforthefirst40triile句thenrane^clu.gi^elyongasolinefortherestofthetnp,usmgg3sclmeatarateof0.02galienspernuleOntliev^ioletnpheaveraged55milespergallon.Howlcngwisthetripin.irileE?-(A)140 <B)240 (C)440 (D)640 (E)840Whichofthefoilowinginequalto9-6^2+7?(A)3j2 世)2抵(d>攀.(D)3由(E)S……………ofanythi'eecons已cuti#已termsis30.WhatisA+H?("1 (E)18 (Q)(D)26 (E)431.8..'CirclesA,B,andCeachhaveradius1.CirclesAandBshareonepointoftangency.Circle-GhasapointoftangencywiththemidpointofAB.WhatistheareainsideCircleCbutoutsideCircl已AandClideB?W3-f (B)[ (92 (D)夸(E〕1+：19.la1PP1thepopulationofatownwasaperfectsq_uareiTenyearslater,afteranincreaseof150people,tlispopulationwas9morethanaperfect；square.Now,in2011,withanincreaseofanother150people,thepopulationisonceagainaperfectsquare.Whichofthefollowingisclosesttothepercentgrowthofthetcivm'spopiilationdiiringthistwenty-yearpeiiad?(A)42 CB)47作话2 (Dj；57 (E)•成■20.Twopoints/onthecircumferenceofacircleofradiusrareselectedmdependentlyandatrandotYL.Frotrieachpoititachordof1&ngthris；drawninaclockwisedirection.Whatistheprobabilitythatthetwochordsintersect?1(A)；CB)yCC)： (D)； (E.)i21.Twocounterffeit^oinsofequalweightaremixedwithSidenticalgenuinecoins.Theweightofschoftliecouiiterfeit^oinsisdifferentfromtlieweight-ofeachofthegenuinecoins.Apiirofcoins斑selectedatmndotttwithoutreplacetnetitfromthe：10coins.A^ecoiidpairisselected,atrandotrL谊thoutfeplacemerLtfromthefamitutigScoins.The'cctYitiitiedweightofthefirstpairi$equaltothecombined,weightofthes已condpair.Whatistheprobabilitythatall4selected-.EOinsaregenuine?(A)j⑸3 (C)；； (D)芬(E)；；U\Eachvertexof^otivs:pentagonABODEistobeassi^tieda.color.Therean&6colorstochoosefrom,andtheendsofeachdiagonalmusthavedifferentcolors.Howmanydifferentcoloringsarepo.ssitle?(A)2500 饵辭源•冏 冷〉31如(D)'315O 但＞37丸■23/Seven,studentscountfrom1to1000asfollows:Alicesysailthenumbers,：：e^&eptshesilapsthetrdddlerLUiYLtsrineach/bonsecutivegroupofthreenumbers.ThatisAlicesaysl,gq瓦工队...,卩97,99。，1000.BarbaraBaysallofthenumbersthatAlicedoesti^say,exceptstiealsoskipstliemiddlemunberineach'tonsecutivegnopeofthreenumbers..Candice'saysallofthenumbersthatneitherAlicenorBarbaiaezcepishealsoskipsthemiddlenumberineachConsecutivegroupofthreenutnb&rG.-Debbie,Eliza,andFatimasayallofthenunibersthatnoneofthestud-Entswiththefirstnamesbeginningbeforetheirsinthealphabet気excepteachalsoskipsth己middlenumberineach。flierconsecutivegroupa；ofthreenumbers.■Finally,George.^aystheonJyiiiantierthatnooneelseays.WhatnumberdoesGeotTgesay?(A)；贫 但)242 03砖JD)7證(E)9賂24.Twodistinct『已gulartetrahedrahav已alltheirverticesamongtheVerticesofthesameunitcube.Whatis.thevolumeoftheregionformedbytheintersectionofthetetinhedia?約吉E(C* (D蒔(E)f35.LetRbeasquareregicmand■■■■>4aninteger.ApointXinthemtenorofRiscalledn-0ypartitionaliftheriEarenraysemanaUngfrcimXthatdivideRintoNtnanglesofequalarea.Hqwmaixypoint?1.are100-raypartitionalbutnot60-raypartitional?(A)1500 (B>：1560JC)2320 (Dp480 (£)25001.Wliatis:2+4+6-1+3+5?H-3+5 2+4+6<A>-1 (B)丄.处•L嘛顷㈤;晳3：s 12 60 3.Josanna^testscores-todateare:9Q/80,70--60,and浴5.Hergoalistoraiseheretestav