资源描述：
《AMC 10 2015A真题》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。
1、1.Whatisthevalueof2.Aboxcontainsacollectionoftriangularandsquaretiles.Therearetilesinthebox,containingedgestotal.Howmanysquaretilesarethereinthebox?3.Annmadea3-stepstaircaseusing18toothpicksasshowninthefigure.Howmanytoothpicksdoessheneedtoaddtocompletea5-stepstaircase?4.
2、Pablo,Sofia,andMiagotsomecandyeggsataparty.PablohadthreetimesasmanyeggsasSofia,andSofiahadtwiceasmanyeggsasMia.PablodecidestogivesomeofhiseggstoSofiaandMiasothatallthreewillhavethesamenumberofeggs.WhatfractionofhiseggsshouldPablogivetoSofia?5.Mr.Patrickteachesmathtostude
3、nts.Hewasgradingtestsandfoundthatwhenhegradedeveryone'stestexceptPayton's,theaveragegradefortheclasswas.AfterhegradedPayton'stest,thetestaveragebecame.WhatwasPayton'sscoreonthetest?6.Thesumoftwopositivenumbersistimestheirdifference.Whatistheratioofthelargernumbertothesma
4、llernumber?7.Howmanytermsarethereinthearithmeticsequence,,,...,,?8.TwoyearsagoPetewasthreetimesasoldashiscousinClaire.Twoyearsbeforethat,PetewasfourtimesasoldasClaire.Inhowmanyyearswilltheratiooftheiragesbe:?9.Tworightcircularcylindershavethesamevolume.Theradiusoftheseco
5、ndcylinderismorethantheradiusofthefirst.Whatistherelationshipbetweentheheightsofthetwocylinders?10.Howmanyrearrangementsofarethereinwhichnotwoadjacentlettersarealsoadjacentlettersinthealphabet?Forexample,nosuchrearrangementscouldincludeeitheror.11.Theratioofthelengthtoth
6、ewidthofarectangleis:.Iftherectanglehasdiagonaloflength,thentheareamaybeexpressedasforsomeconstant.Whatis?12.Pointsandaredistinctpointsonthegraphof.Whatis?13.Claudiahas12coins,eachofwhichisa5-centcoinora10-centcoin.Thereareexactly17differentvaluesthatcanbeobtainedascombi
7、nationsofoneormoreofhercoins.Howmany10-centcoinsdoesClaudiahave?14.Thediagrambelowshowsthecircularfaceofaclockwithradiuscmandacirculardiskwithradiuscmexternallytangenttotheclockfaceato'clock.Thediskhasanarrowpaintedonit,initiallypointingintheupwardverticaldirection.Letth
8、ediskrollclockwisearoundtheclockface.Atwhatpointontheclockfacewillthediskbetangentwhenthearrowisnextpoi
