sat数学考试试题

第1页共11页SAT数学真题精选1.If2x+3=9,whatisthevalueof4x–3?(A)5(B)9(C)15(D)18(E)212.If4(t+u)+3=19,thent+u=?(A)3(B)4(C)5(D)6(E)73.Inthexy-coordinate(坐标)planeabove,thelinecontainsthepoints(0,0)and(1,2).IflineM(notshown)containsthepoint(0,0)andisperpendicular（垂直）toL,whatisanequationofM?(A)y=-1/2x(B)y=-1/2x+1(C)y=-x(D)y=-x+2(E)y=-2x4.IfKisdivisibleby2,3,and15,whichofthefollowingisalsodivisiblebythesenumbers?(A)K+5(B)K+15(C)K+20(D)K+30(E)K+455.Thereare8sectionsofseatsinanauditorium.Eachsectioncontainsatleast150seatsbutnotmorethan200seats.Whichofthefollowingcouldbethenumberofseatsinthisauditorium?(A)800(B)1,000(C)1,100(D)1,300(E)1,7006.Ifrsuv=1andrsum=0,whichofthefollowingmustbetrue?(A)r1(B)s1(C)u=2(D)r=0(E)m=0第2页共11页7.Theleastintegerofasetofconsecutiveintegers(连续整数)is–126.ifthesumoftheseintegersis127,howmanyintegersareinthisset?(A)126(B)127(C)252(D)253(E)2548.Aspeciallotteryistobeheldtoselectthestudentwhowillliveintheonlydeluxeroominadormitory.Thereare200seniors,300juniors,and400sophomoreswhoapplied.Eachsenior’snameisplacedinthelottery3times;eachjunior’sname,2time;andeachsophomore’sname,1times.Ifastudent’snameischosenatrandomfromthenamesinthelottery,whatistheprobabilitythatasenior’snamewillbechosen?（A）1/8(B)2/9(C)2/7(D)3/8(E)1/2Question#1:50%ofUScollegestudentsliveoncampus.Outofallstudentslivingoncampus,40%aregraduatestudents.WhatpercentageofUSstudentsaregraduatestudentslivingoncampus?(A)90%(B)5%(C)40%(D)20%(E)25%Question#2:Inthefigurebelow,MNisparallelwithBCandAM/AB=2/3.WhatistheratiobetweentheareaoftriangleAMNandtheareaoftriangleABC?(A)5/9(B)2/3(C)4/9(D)1/2(E)2/9Question#3:Ifa2+3isdivisibleby7,whichofthefollowingvaluescanbea?第3页共11页(A)7(B)8(C)9(D)11(E)4Question#4:Whatisthevalueofb,ifx=2isasolutionofequationx2-b·x+1=0?(A)1/2(B)-1/2(C)5/2(D)-5/2(E)2Question#5:Whichvalueofxsatisfiestheinequality|2x|x+1?(A)-1/2(B)1/2(C)1(D)-1(E)2Question#6:Ifintegersm2andn2,howmany(m,n)pairssatisfytheinequalitymn100?(A)2(B)3(C)4(D)5(E)7Question#7:TheUSdeerpopulationincreaseis50%every20years.Howmaytimeslargerwillthedeerpopulationbein60years?(A)2.275(B)3.250(C)2.250(D)3.375(E)2.500Question#8:Findthevalueofxifx+y=13andx-y=5.(A)2(B)3(C)6(D)9(E)4Question#9:USUKMedals32gold14silver41bronzeThenumberofmedalswonatatrackandfieldchampionshipisshowninthetableabove.WhatisthepercentageofbronzemedalswonbyUKoutofallmedalswonbythe2teams?(A)20%(B)6.66%(C)26.6%(D)33.3%(E)10%第4页共11页Question#10:Theedgesofacubeareeach4incheslong.Whatisthesurfacearea,insquareinches,ofthiscube?(A)66(B)60(C)76(D)96(E)65Question#1:Thesumofthetwosolutionsofthequadraticequationf(x)=0isequalto1andtheproductofthesolutionsisequalto-20.Whatarethesolutionsoftheequationf(x)=16-x?(a)x1=3andx2=-3(b)x1=6andx2=-6(c)x1=5andx2=-4(d)x1=-5andx2=4(e)x1=6andx2=0Question#2:Inthe(x,y)coordinateplane,threelineshavetheequations:l1:y=ax+1l2:y=bx+2l3:y=cx+3Whichofthefollowingmaybevaluesofa,bandc,iflinel3isperpendiculartobothlinesl1andl2?(a)a=-2,b=-2,c=.5(b)a=-2,b=-2,c=2(c)a=-2,b=-2,c=-2(d)a=-2,b=2,c=.5(e)a=2,b=-2,c=2第5页共11页Question#3:Themanagementteamofacompanyhas250menand125women.If200ofthemanagershaveamasterdegree,and100ofthemanagerswiththemasterdegreearewomen,howmanyofthemanagersaremenwithoutamasterdegree?(a)125(b)150(c)175(d)200(e)225Question#4:Inthefigurebelow,theareaofsquareABCDisequaltothesumoftheareasoftrianglesABEandDCE.IfAB=6,thenCE=(a)5(b)6(c)2(d)3(e)4Question#5:Ifαandβaretheanglesoftherighttriangleshowninthefigureabove,thensin2α+sin2βisequalto:(a)cos(β)(b)sin(β)(c)1(d)cos2(β)(e)-1Question#6:Theaverageofnumbers(a+9)and(a-1)isequaltob,whereaandbareintegers.Theproductofthesametwointegersisequalto(b-1)2.Whatisthevalueofa?(a)a=9(b)a=1(c)a=0(d)a=5(e)a=11第6页共11页Question#1:Iff(x)=xandg(x)=√x,x≥0,whatarethesolutionsoff(x)=g(x)?(A)x=1(B)x1=1,x2=-1(C)x1=1,x2=0(D)x=0(E)x=-1Question#2:WhatisthelengthofthearcABinthefigurebelow,ifOisthecenterofthecircleandtriangleOABisequilateral?Theradiusofthecircleis9(a)π(b)2·π(c)3·π(d)4·π(e)π/2Question#3:Whatistheprobabilitythatsomeonethatthrows2dicegetsa5anda6?Eachdicehassidesnumberedfrom1to6.(a)1/2(b)1/6(c)1/12(d)1/18(e)1/36Question#4:AcyclistbikesfromtownAtotownBandbacktotownAin3hours.HebikesfromAtoBataspeedof15miles/hourwhilehisreturnspeedis10miles/hour.Whatisthedistancebetweenthe2towns?(a)11miles(b)18miles(c)15miles(d)12miles(e)10milesQuestion#5:Thevolumeofacube-shapedglassC1ofedgeaisequaltohalfthevolumeofacylinder-shapedglassC2.TheradiusofC2isequaltotheedgeofC1.WhatistheheightofC2?(a)2·a/π(b)a/π(c)a/(2·π)(d)a/π(e)a+π第7页共11页Question#6:Howmanyintegersxaretheresuchthat2x100,andatthesametimethenumber2x+2isanintegerdivisiblebyboth3and2?(a)1(b)2(c)3(d)4(e)5Question#7:sin(x)cos(x)(1+tan2(x))=(a)tan(x)+1(b)cos(x)(c)sin(x)(d)tan(x)(e)sin(x)+cos(x)Question#8:If5xy=210,andxandyarepositiveintegers,eachofthefollowingcouldbethevalueofx+yexcept:(a)13(b)17(c)23(d)15(e)43Question#9:Theaverageoftheintegers24,6,12,xandyis11.Whatisthevalueofthesumx+y?(a)11(b)17(c)13(d)15(e)9Question#10:Theinequality|2x-1|5mustbetrueinwhichoneofthefollowingcases?I.x-5II.x7III.x01.Threeunitcircl