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1、2017AMC10AProblems2017AMC10A(AnswerKey)Printableversion:Wiki
2、AoPSResources•PDFInstructions1.Thisisa25-question,multiplechoicetest.EachquestionisfollowedbyanswersmarkedA,B,C,DandE.Onlyoneoftheseiscorrect.2.Youwillreceive6pointsforeachcorrectanswer,2.5pointsforeachproblemleftunanswered
3、iftheyearisbefore2006,1.5pointsforeachproblemleftunanswerediftheyearisafter2006,and0pointsforeachincorrectanswer.3.Noaidsarepermittedotherthanscratchpaper,graphpaper,ruler,compass,protractoranderasers(andcalculatorsthatareacceptedforuseontheSATifbefore2006.Noproblemsonthetestwillrequ
4、iretheuseofacalculator).4.Figuresarenotnecessarilydrawntoscale.5.Youwillhave75minutesworkingtimetocompletethetest.1•2•3•4•5•6•7•8•9•10•11•12•13•14•15•16•17•18•19•20•21•22•23•24•25Contents [hide] §1Problem1§2Problem2§3Problem3§4Problem4§5Problem5§6Problem6§7Problem7§8Problem8§9Problem
5、9§10Problem10§11Problem11§12Problem12§13Problem13§14Problem14§15Problem15§16Problem16§17Problem17§18Problem18§19Problem19§20Problem20§21Problem21§22Problem22§23Problem23§24Problem24§25Problem25§26SeealsoProblem1Whatisthevalueof?SolutionProblem2Pablobuyspopsiclesforhisfriends.Thestore
6、sellssinglepopsiclesforeach,-popsicleboxesforeach,and-popsicleboxesfor.WhatisthegreatestnumberofpopsiclesthatPablocanbuywith?SolutionProblem3Tamarahasthreerowsoftwo-feetby-feetflowerbedsinhergarden.Thebedsareseparatedandalsosurroundedby-foot-widewalkways,asshownonthediagram.Whatisthe
7、totalareaofthewalkways,insquarefeet?SolutionProblem4Miais“helping”hermompickuptoysthatarestrewnonthefloor.Mia’smommanagestoputtoysintothetoyboxeveryseconds,buteachtimeimmediatelyafterthosesecondshaveelapsed,Miatakestoysoutofthebox.Howmuchtime,inminutes,willittakeMiaandhermomtoputallt
8、oysintotheboxforthefirsttime?SolutionProblem5Thesumoftwononzerorealnumbersistimestheirproduct.Whatisthesumofthereciprocalsofthetwonumbers?SolutionProblem6Ms.CarrollpromisedthatanyonewhogotallthemultiplechoicequestionsrightontheupcomingexamwouldreceiveanAontheexam.Whichofofthesestatem
9、entsnecessar