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1、书人教育(2014)小升初英语数学题2104书人春季六年级英语数学题冲外模拟题PartI:Questions1to10,10markseach1.Attherightisshownagrid.Wewishtofillinthegridsuchthateachrow,eachcolumn,andeachsquareoutlinedbythethicklinescontainsthedigits1through4.Somegridshavealreadybeenfilledin.Findthenumberofwayswecancompletetherestofthegrid.Answer:2.
2、Theareasofthefacesofacuboidare84,70and30.Findthevolumeofthecuboidin.Answer:3.Thefractioncanbewrittenintheformwherethegreatestcommondivisorofmandnis1,Find.Answer:书人教育(2014)小升初英语数学题4.FindthenumberofalltheintegerN>1withthepropertiesthattheeachprimefactorofNiseither2,3,5or7,andNisnotdivisiblebyanyperf
3、ectcubegreaterthan1.Answer:5.Alargefreshwaterreservoirhastwotypesofdrainagesystem,smallpipes.6largepipes,ontheirown,candrainthereservoirin12hours.3largepipesand9smallpipes,atthesametime,candrainthereservoirin8hours.Howlongwill5smallpipes,ontheirown,taketodrainthereservoir?Answer:minutes6.Atalocalv
4、illagegala,theentirepopulationturnedup,500people.Theeventraised£3,000.Ticketswerepricedasfollows:£7.48perman,£7.12perwomanand£0.45perchild.Howmanychildrenwerethere?Answer:7.Eachofthedistinctlettersinthefollowingadditionproblemrepresentsadifferentdigit.IfA=4,finthenumberrepresentedbytheword“MEET”.A
5、nswer:书人教育(2014)小升初英语数学题8.Lettworectanglesshareacommoncornerandoverlap.Thedistancefromthebottomrightcornerofonerectangletotheintersectionpointalongtherightedgeofthatrectangleis7.Whatistheareaoftheshadedregion?Answer:435121869.Aspyhadtosendthe4-digitcodetoheadquarters.Forsecurityreasons,hesentinste
6、adthe9separate4-digitcodesshown.Ineachofthe9codes,atleastoneofthedigitsandoccursinitscorrectposition.Whatisthevalueof?4521Answer:512759166384692482538517书人教育(2014)小升初英语数学题10.Inhowmanywayscanonearrangethenumbers21,31,41,51,61,71and81suchthatthesumofeveryfourconsecutivenumbersisdivisibleby3?Answer:P
7、artⅡ:Questions11to14,20markseach11.TownAandtownBareconnectedbyahighway,withaservicestationatthemidpoint.MikeandSamstartfromAtoBatthesametime.WhenMikereachestheservicestation,Samis16kmbehind.Mikereducesspeedby25%a