2014年AMC8競賽真題(英文版)Problem1HanyaudTenyareeachtoldtocalculate3一作+5)Hairygersthecorrectanswer.Tenyignorestheparenthesesandcalculates8-2+51.IfHanysanswerisHandTeny'sansweris1^hatisH-17(A) 10 (B) 6 (C)0 (D)6 (E)10Problem2PaulowesP^ila35centsandhas3pocketftHlof5-centcoins,10-centcoms.25-centcoinsthathecanuseiopayher.WTiatisthedifieieucebetweenthelargestandthesniallestmunberofcomshecanusetopayher?(A)1 (B)2 (C)3 (D)4 (E)5Problem3Isabellahadaweektoreadabookfbraschoolassignment.Shereadanaverageof36pagesperdayfbrthefirstThreedaysandanaverageof44pages>perdayforThenextThreedays一SheThenfinished±ebookbyreading10pages?？趖helastclay.Howmanypageswereinthebook?(A)240 (B)250 (C)260 (D)270 (E)280Problem4They.mioftwoprunenumbersis85.AVhalistheproductoftheservqprimenumbe】。(A)85 (B)91 (C)115 (D)133 (E)166Problem5Margie'scarcango32milesonagallonofgajandgascurrentlycostsS4pergallon.HowmanymilescanMm^icdnveon520worthofgas?(A)64 (B)128 (C)150 (D)320 (E)&40ProblemProblemRectangleABCDhassidesCD=3andDA=5.Acircleofradius1iscenteredatA.acircleofradius2iscenteredatB.andacircleofradius3iscenteredatC.Whichofthefollowingisclosesttotheareaoftheregioninsidetherectanglebutoutsideallthreecircles?(A)3.5 (B)4.0 (C)45 (D)5.0 (E)5.5Problem21The7-digitnumbers區(qū)且絲Land 止兄0eachmultiplesof3.WhichofthefollowingcouldbethevalueofC?(A)1 (B)2 (C)3 (D)5 (E)8Problem22A2-digitnumberissuchthattheproductofthedigitsplusthesumofthedigitsisequaltothenumber.Whatistheunitsdigitofthenumber?(A)1 (B)3 (C)5 (D)7 (E)9Problem23ThreemembersoftheEuclidMiddleSchoolgirls'softballteamhadthefollowingconversationAshley:Ijustrealizedthatouruniformnumbersareall2-digitprimes.Bethany：Andthesumofyourtwouniformnumbersisthedateofmybirthdayearlierthismonth.Caitlin:That'sfunnv.Thesumofyourtwouniformnumbersisthedateofmvbirthdaylaterthismonth.Ashley:Andthesumofyoutwouniformnumbersistoday'sdate.WhatnumberdoesCaitlinwear?(A)11 (B)13 (C)17 (D)19 (E)23Problem24OnedaytheBeverageBamsold252cansofsodato100customers,andeverycustomerboughtatleastonecanofsoda.Whatisthemaximumpossiblemediannumberofcansofsodaboughtpercustomeronthatday?(A)2.5 (B)3.0 (C)3.5 (D)4.0 (E)45Problem25Astraightone-milestretchofhighway.40feetwide,isclosed.Robertrideshisbikeonapathcomposedofsemicirclesasshown.Ifheridesat5milesperhour.howmanyhourswillittake