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1、A玷吃2012玷吃Problem1玷吃Cagneycanfrostacupcakeevery20secondsandLaceycanfrostacupcakeevery30seconds.Workingtogether,howmanycupcakescantheyfrostin5minutes?玷吃玷吃Solution玷吃Problem2玷吃Asquarewithsidelength8iscutinhalf,creatingtwocongruentrectangles.Whatarethedimensionsofoneoftheserec
2、tangles?玷吃玷吃Solution玷吃Problem3玷吃Abugcrawlsalonganumberline,startingat-2.Itcrawlsto-6,thenturnsaroundandcrawlsto5.Howmanyunitsdoesthebugcrawlaltogether?玷吃玷吃Solution玷吃Problem4玷吃Let and .WhatisthesmallestpossibledegreemeasureforangleCBD?玷吃玷吃Solution玷吃Problem5玷吃Lastyear100ad
3、ultcats,halfofwhomwerefemale,werebroughtintotheSmallvilleAnimalShelter.Halfoftheadultfemalecatswereaccompaniedbyalitterofkittens.Theaveragenumberofkittensperlitterwas4.Whatwasthetotalnumberofcatsandkittensreceivedbytheshelterlastyear?玷吃玷吃Solution玷吃Problem6玷吃Theproductoftw
4、opositivenumbersis9.Thereciprocalofoneofthesenumbersis4timesthereciprocaloftheothernumber.Whatisthesumofthetwonumbers?玷吃玷吃Solution玷吃Problem7玷吃Inabagofmarbles, ofthemarblesareblueandtherestarered.Ifthenumberofredmarblesisdoubledandthenumberofbluemarblesstaysthesame,whatfr
5、actionofthemarbleswillbered?玷吃玷吃Solution玷吃Problem8玷吃Thesumsofthreewholenumberstakeninpairsare12,17,and19.Whatisthemiddlenumber?玷吃玷吃Solution玷吃Problem9玷吃Apairofsix-sideddicearelabeledsothatonediehasonlyevennumbers(twoeachof2,4,and6),andtheotherdiehasonlyoddnumbers(twoofeach
6、1,3,and5).Thepairofdiceisrolled.Whatistheprobabilitythatthesumofthenumbersonthetopsofthetwodiceis7?玷吃玷吃Solution玷吃Problem10玷吃Marydividesacircleinto12sectors.Thecentralanglesofthesesectors,measuredindegrees,areallintegersandtheyformanarithmeticsequence.Whatisthedegreemeasur
7、eofthesmallestpossiblesectorangle?玷吃玷吃Solution玷吃Problem11玷吃ExternallytangentcircleswithcentersatpointsAandBhaveradiioflengths5and3,respectively.AlineexternallytangenttobothcirclesintersectsrayABatpointC.WhatisBC?玷吃玷吃Solution玷吃Problem12玷吃Ayearisaleapyearifandonlyiftheyearn
8、umberisdivisibleby400(suchas2000)orisdivisibleby4butnot100(suchas2012).The200thanniversaryoftheb
