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1、Problem1Whatisthevalueof Problem2Aboxcontainsacollectionoftriangularandsquaretiles.Thereare tilesinthebox,containing edgestotal.Howmanysquaretilesarethereinthebox?Problem3Annmadea3-stepstaircaseusing18toothpicks.Howmanytoothpicksdoessheneedtoaddtocompletea5-stepstaircase?Problem4Pablo,Sofia,a
2、ndMiagotsomecandyeggsataparty.PablohadthreetimesasmanyeggsasSofia,andSofiahadtwiceasmanyeggsasMia.PablodecidestogivesomeofhiseggstoSofiaandMiasothatallthreewillhavethesamenumberofeggs.WhatfractionofhiseggsshouldPablogivetoSofia?Problem5Mr.Patrickteachesmathto students.Hewasgradingtestsandfoun
3、dthatwhenhegradedeveryone'stestexceptPayton's,theaveragegradefortheclasswas .AfterhegradedPayton'stest,thetestaveragebecame .WhatwasPayton'sscoreonthetest?Problem6Thesumoftwopositivenumbersis timestheirdifference.Whatistheratioofthelargernumbertothesmallernumber?Problem7Howmanytermsaretherein
4、thearithmeticsequence , , ,..., , ?problem8TwoyearsagoPetewasthreetimesasoldashiscousinClaire.Twoyearsbeforethat,PetewasfourtimesasoldasClaire.Inhowmanyyearswilltheratiooftheiragesbe : ?problem10Howmanyrearrangementsof arethereinwhichnotwoadjacentlettersarealsoadjacentlettersinthealphabet?Fo
5、rexample,nosuchrearrangementscouldincludeeither or .problem11Theratioofthelengthtothewidthofarectangleis : .Iftherectanglehasdiagonaloflength ,thentheareamaybeexpressedas forsomeconstant .Whatis ?Problem12Points and aredistinctpointsonthegraphof .Whatis ?Problem13Claudiahas12coins,eachofwh
6、ichisa5-centcoinora10-centcoin.Thereareexactly17differentvaluesthatcanbeobtainedascombinationsofoneormoreofhercoins.Howmany10-centcoinsdoesClaudiahave?Problem15Considerthesetofallfractions where and arerelativelyprimepositiveintegers.Howmanyofthesefractionshavethepropertythatifbothnumerator
7、anddenominatorareincreasedby ,thevalueofthefractionisincreasedby ?Problem16If ,and ,whatisthevalueof ?Problem18Hexadecimal(base-16)numbersarewrittenusingnumericdigits through aswellastheletters through torepresent through .Amongthe
