资源描述：
《2011 AMC8 problems & solutions资料》由会员上传分享，免费在线阅读，更多相关内容在应用文档-天天文库。
1、Problem1Margieboughtapplesatacostofcentsperapple.Shepaidwitha5-dollarbill.HowmuchchangedidMargierecieve?SolutioncentsisequivalenttoThenthethreeapplescostThechangeMargiereceivesisProblem2Karl'srectangularvegetablegardenisfeetbyfeet,andMakenna'sisfeetbyfeet.Whosegardenisl
2、argerinarea?SolutionTheareaofarectangleisgivenbytheformulalengthtimeswidth.Karl'sgardenissquarefeetandMakenna'sgardenissquarefeet.SinceMakenna'sgardenislargerbysquarefeet.Problem3Extendthesquarepatternof8blackand17whitesquaretilesbyattachingaborderofblacktilesaroundthes
3、quare.Whatistheratioofblacktilestowhitetilesintheextendedpattern?SolutionOnewayofapproachingthisisdrawingthenextcircleofboxesaroundthecurrentsquare.Wecannowcountthenumberofblackandwhitetiles;32blacktilesand17whitetiles.Thismeanstheansweris.Problem4Hereisalistofthenumber
4、soffishthatTylercaughtinnineoutingslastsummer:Whichstatementaboutthemean,median,andmodeistrue?SolutionFirst,putthenumbersinincreasingorder.ThemeanisthemedianisandthemodeisBecause,theanswerisProblem5WhattimewasitminutesaftermidnightonJanuary1,2011?SolutionThereareminutes
5、inanhour.orhoursandminutes.Therearehoursinaday,sothetimeishoursandminutesaftermidnightonJanuary2,2011.Problem6Inatownofadults,everyadultownsacar,motorcycle,orboth.Ifadultsowncarsandadultsownmotorcycles,howmanyofthecarownersdonotownamotorcycle?Solution1ByPIE,thenumberofa
6、dultswhoownbothcarsandmotorcyclesisOutofthecarowners,ofthemownmotorcyclesandofthemdon't.Solution2Therearetotaladults,andownamotorcycle.Thenumberofadultsthatdon'townamotorcycleis.Sinceeveryoneownsacarormotorcycle,onewhodoesn'townamotorcycleownsacar,sotheansweris.Problem7
7、Eachofthefollowingfourlargecongruentsquaresissubdividedintocombinationsofcongruenttrianglesorrectanglesandispartiallybolded.Whatpercentofthetotalareaispartiallybolded?SolutionAssumethattheareaofeachsquareisone.Then,theareaoftheshaderegioninthetopleftsquareis1/4.Theareao
8、fthetoprightshadedregionis1/8.Theareaofthebottomleftshadedregionis3/8.Andtheareaofthebottomrightshadedregionis
