小升初英语数学题模拟卷一

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.Attherightisshowna44grid.Wewishtofillinthegridsuchthateachrow,eachcolumn,andeach22squareoutlinedbythethicklinescontainsthedigits1through4.Somegridshavealreadybeenfilledin.Findthenumberofwayswecancompletetherestofthegrid.Answer:2.Theareasofthefacesofacuboidare842cm,702cmand302cm.Findthevolumeofthecuboidin3cm.Answer:3.Thefractioncanbewrittenintheformmnwherethegreatestcommondivisorofmandnis1,Findnm.Answer:书人教育（2014）小升初英语数学题4.FindthenumberofalltheintegerN1withthepropertiesthattheeachprimefactorofNiseither2,3,5or7,andNisnotdivisiblebyanyperfectcubegreaterthan1.Answer:5.Alargefreshwaterreservoirhastwotypesofdrainagesystem,smallpipes.6largepipes,ontheirown,candrainthereservoirin12hours.3largepipesand9smallpipes,atthesametime,candrainthereservoirin8hours.Howlongwill5smallpipes,ontheirown,taketodrainthereservoir?Answer:minutes6.Atalocalvillagegala,theentirepopulationturnedup,500people.Theeventraised￡3,000.Ticketswerepricedasfollows:￡7.48perman,￡7.12perwomanand￡0.45perchild.Howmanychildrenwerethere?Answer:7.Eachofthedistinctlettersinthefollowingadditionproblemrepresentsadifferentdigit.IfA=4,finthenumberrepresentedbytheword“MEET”.Answer:书人教育（2014）小升初英语数学题8.Lettwo128rectanglesshareacommoncornerandoverlap.Thedistancefromthebottomrightcornerofonerectangletotheintersectionpointalongtherightedgeofthatrectangleis7.Whatistheareaoftheshadedregion?Answer:9.Aspyhadtosendthe4-digitcodeabcdtoheadquarters.Forsecurityreasons,hesentinsteadthe9separate4-digitcodesshown.Ineachofthe9codes,atleastoneofthedigits,,,cbaanddoccursinitscorrectposition.Whatisthevalueofabcd?Answer:218643514521512759166384692482538517书人教育（2014）小升初英语数学题10.Inhowmanywayscanonearrangethenumbers21,31,41,51,61,71and81suchthatthesumofeveryfourconsecutivenumbersisdivisibleby3?Answer:PartⅡ:Questions11to14,20markseach11.TownAandtownBareconnectedbyahighway,withaservicestationatthemidpoint.MikeandSamstartfromAtoBatthesametime.WhenMikereachestheservicestation,Samis16kmbehind.Mikereducesspeedby25%afterhepassesthroughtheservicestation.WhenSamreachestheservicestation,Mikeis15kmaheadofSam.What’sthedistancebetweenAandB?Answer:12.Given:ABCDisatrapezoid,AD//BC,AD:BC=1:2,3:1:DOEAOFSS,224cmSBEF,FindtheareaofAOF.Answer:OADBCFE书人教育（2014）小升初英语数学题13.Inhowmanydifferentwayscanthesevenemptycirclesinthediagramontherightbefilledinwiththenumbers2through8suchthateachnumberisusedonce,andeachnumberiseithergreaterthanbothitsneighbors,orlessthanbothitsneighbors.Answer:14.Howmanyrectanglesarethereinthediagramontherightsuchthatthesumofthenumberswithintherectangleisamultipleof4?Answer:151273410612813914151116