SAT Grid-In数学15套练习题

数学15套练习题SAT数学Grid-In习题一1.1453006101230Intheabovesequenceeverytermafterthefirstisformedbymultiplyingbyxandthenaddingy,wherexandyarepositiveintegers.Whatisthevalueofx+y?2.Aconfectionerhas500mint,500orangeand500strawberryflavoredsweets.Hewishestomakepacketscontaining10mint,5orangeand5strawberrysweets.Whatisthemaximumnumberofpacketsofthistypehecanmake?3.IfSisthesumof8,6,4,2andx,whatmustbethevalueofxforxtoequal1/5S?4.25percentof600isequalto15percentofwhatnumber?5.Whatisthemaximumnumberofpointsofintersectionoffourdistinctlinesinaplane?6.Ifoneedgeofa6-inchruleristobemarkedin1/10inchunits,howmanymarkswilltherebeontheedgeincludingthe0and6inchmarks?7.Iftheareaoftherighttriangleaboveis72,whatisthevalueofx?8.Giventhatthesumoftheoddintegersfrom1to99inclusiveis2500,whatisthesumoftheevenintegersfrom2to100inclusive?9.Inacertaingameof50questions,thefinalscoreiscalculatedbysubtractingtwicethenumberofwronganswersfromthetotalnumberofcorrectanswers.Ifaplayerattemptedallquestionsandreceivedafinalscoreof35,howmanywronganswersdidhegive?参考答案:1.CorrectAnswer:12Explanation:Lookforasimplerelationbetweenthenumbers.Soifwetrymultiplyingby2,then145becomes290,towhichweneedtoadd10tomake300.(Ifwetriedmultiplyingby3thenumberwouldbetoolarge.Checkwiththethirdterm;doubling300gives600andadding10gives610.Sothisistherelation,andx=2,andy=10.x+y=122.CorrectAnswer:50Explanation:Sinceeverypacketmusthave10mints,thisisthelimitingfactorsincethemintswillbeusedupfirst.500/10givesthenumberofsetsofmints=50packetscanbemade.3.CorrectAnswer:5Explanation:Ifx=1/5ofthesum,then8+6+4+2=4/5ofthesum.So20=4/5ofS,and20/4is1/5ofS=54.CorrectAnswer:1000Explanation:Expressinmathlanguage(25/100)x600=(15/100)n25x(600/15)=nn=10005.CorrectAnswer:6Explanation:Twolineshaveonepointofintersection.Athirdlinecancutthroughtheothertwotogivetwonewpointsofintersection.(Total=3).Afourthlinecancutthroughtheotherthreegivingthreenewpointsofintersection(Total3+3=6)6.CorrectAnswer:61Explanation:Therearesixtytenthstobemarked.Thiswillrequire61marks,becauseyouwillneedamarkforzero.(Ifyoustilldonotunderstand,drawoutarulerandcounthowmanymarksfortwoinches,whichwillbe20+1).7.CorrectAnswer:45:Areaofatriangleis½basexheight.½xbx12=72Thereforebase=12Thismeansthisisanisoscelesrighttriangleandx=458.CorrectAnswer:2550Explanation:Ifyouwriteoutpartofeachserieslikethis1,3,5,7...2,4,6,8...Youwillseethateveryterminthesecondseriesisonemorethanthecorrespondingterminthefirstseries.Sincethereare50terms,thesecondsumwillbe50morethanthefirst=2500+50=25509.CorrectAnswer:5Explanation:Letthenumberofwronganswers=xRightanswers=50-xSubtractingtwicewrongfromrightwillgive35(50-x)-2x=35;50-3x=3515=3x;5=x10.CorrectAnswer:16Explanation:AssumeFather1andMother2areseatedasshown.Nowselectoneoftheremainingfourpeopleforthefirstvacantseat.Wecanonlychooseoneofthetwopeoplefromtheotherfamilytositoppositethem(toensurethatthepersonisoftheoppositesex).Fortheonevacantseatonthesamesideofthetablewehaveachoiceofoneoutoftwo,andthefinalpersonwillhavetositopposite.SowithFather1andMother2seatedfirstwehaveatotalof4x2x2=16arrangements.SAT数学Grid-In习题二1.Whatisthesumofallthepositiveintegerfactorsof12?2.TheaverageIQof4peopleis110.IfthreepeopleeachhaveanIQof105,whatistheIQofthefourthperson?3.Of60studentsinaclass2/3aregirls,and2/5oftheclassaretakingmusiclessons.Whatisthemaximumnumberofgirlsthatarenottakingmusiclessons?4.If2n+1=8,whatisthevalueofn?=AC=CB.Ifthevalueofyis28,whatisthevalueofx?6.Onegallonoffuelmixturecontainsantifreezeintheratioof5partsfueltoonepartantifreeze.Tothisisaddedhalfagallonofmixturewhichisonethirdantifreezeandtwothirdsfuel.Whatistheratiooffueltoantifreezeinthefinalmixture?(Gridyouranswerasafraction:fuel/antifreeze)7.TwodialsOandPhavepointersthatstartfromtheverticalpositionasshown.PointerOrotatesanticlockwiseatarateof5degreespersecondandpointerProtatesclockwiseat9degreespersecond.HowmanycompleterevolutionswillPhavemadewhenOcompletes335completerevolutions?8.Whatisthetotalsurfaceareaof2identicalcubeswhichtogetherhaveavolumeof1458units?9.N{12,18,2,6}P{1,4,2,3}IfnandparetobeselectedatrandomfromsetsNandPrespectively,whatistheprobabilitythatn/2pwillbeamemberofsetP?10.Iff(x)=(12�x)3/2,andn=f(3),whatisthevalueof2n?参考答案1.CorrectAnswer:28Explanation::1,12,2,4,3,6Theirsumis282.CorrectAnswer:125Explanation:Iftheaverageoffouris110,thetotal=4x110=440ThesumofthreewithIQ105=315ThefourthpersonmusthaveIQ=440-315=1253.CorrectAnswer:36Explanation:If2/3oftheclassof60aregirls(=40),1/3mustbeboys(=20)2/5oftheclass(=24)aretakingmusic.Thema