完整版sat数学考试试题doc.docx
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完整版sat数学考试试题doc.docx
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完整版sat数学考试试题doc
SAT数学真题精选
1.If2x+3=9,whatisthevalueof4x
–3?
(A)5
(B)9
(C)15
(D)18
(E)21
2.If4(t+u)+3=19,thent+u=?
(A)3(B)4(C)5(D)6(E)7
3.Inthexy-coordinate(坐标)planeabove,thelinecontainsthepoints(0,0)and(1,2).
IflineM(notshown)containsthepoint(0,0)andisperpendicular(垂直)toL,what
isanequationofM?
(A)y=-1/2x
(B)y=-1/2x+1
(C)y=-x
(D)y=-x+2
(E)y=-2x
4.IfKisdivisibleby2,3,and15,whichofthefollowingisalsodivisiblebythesenumbers?
(A)K+5
(B)K+15
(C)K+20
(D)K+30
(E)K+45
5.Thereare8sectionsofseatsinanauditorium.Eachsectioncontainsatleast150seatsbutnotmorethan200seats.Whichofthefollowingcouldbethenumberofseatsinthisauditorium?
(A)800(B)1,000(C)1,100(D)1,300(E)1,700
6.Ifrsuv=1andrsum=0,whichofthefollowingmustbetrue?
(A)r<1(B)s<1(C)u=2(D)r=0(E)m=0
第1页共11页
7.Theleastintegerofasetofconsecutiveintegers(连续整数)is–126.ifthesumof
theseintegersis127,howmanyintegersareinthisset?
(A)126(B)127(C)252(D)253(E)254
8.Aspeciallotteryistobeheldtoselectthestudentwhowillliveintheonlydeluxeroominadormitory.Thereare200seniors,300juniors,and400sophomoreswho
applied.Eachsenior’snameisplacedinthelottery3times;eachjunior’sna
time;andeachsophomore’sname,1times.Ifastudent’snameischosenatrandom
fromthenamesinthelottery,whatistheprobabilitythatasenior’snamewillbe
chosen?
(A)1/8(B)2/9(C)2/7(D)3/8(E)1/2
Question#1:
50%ofUScollegestudentsliveoncampus.Outofallstudentslivingon
campus,40%aregraduatestudents.WhatpercentageofUSstudentsaregraduate
studentslivingoncampus?
(A)90%(B)5%(C)40%(D)20%(E)25%
Question#2:
Inthefigurebelow,MNisparallelwithBCandAM/AB=2/3.Whatisthe
ratiobetweentheareaoftriangleAMNandtheareaoftriangleABC?
(A)5/9(B)2/3(C)4/9(D)1/2(E)2/9
Question#3:
Ifa2+3isdivisibleby7,whichofthefollowingvaluescanbea?
第2页共11页
(A)7(B)8(C)9(D)11(E)4
Question#4:
Whatisthevalueofb,ifx=2isasolutionofequationx
(A)1/2
(B)-1/2
(C)5/2
(D)-5/2
(E)2
Question#5:
Whichvalueofxsatisfiestheinequality|2x| ? (A)-1/2 (B)1/2 (C)1 (D)-1 (E)2 Question#6: Ifintegersm>2andn>2,howmany(m,n)pairssatisfytheinequality mn<100? (A)2 (B)3 (C)4 (D)5 (E)7 Question#7: TheUSdeerpopulationincreaseis50%every20years.Howmaytimes largerwillthedeerpopulationbein60years? (A)2.275 (B)3.250 (C)2.250 (D)3.375 Question#8: Findthevalueofxifx+y=13andx-y=5. (A)2 (B)3 (C)6 (D)9 (E)4 Question#9: US UK 3 2 1 4 4 1 Thenumberofmedalswonatatrackandfieldchampionshipisshowninthetable above.WhatisthepercentageofbronzemedalswonbyUKoutofallmedalswonby the2teams? 2-b·x+1=0? (E)2.500 Medals gold silver bronze (A)20%(B)6.66%(C)26.6%(D)33.3%(E)10% 第3页共11页 Question#10: Theedgesofacubeareeach4incheslong.Whatisthesurfacearea,in squareinches,ofthiscube? (A)66(B)60(C)76(D)96(E)65 Question#1: Thesumofthetwosolutionsofthequadraticequationf(x)=0isequal to1andtheproductofthesolutionsisequalto-20.Whatarethesolutionsofthe equationf(x)=16-x? (a)x1 =3andx2 =-3 (b)x1=6andx2=-6 (c)x1=5andx2=-4 (d)x1=-5andx2=4 (e)x1 =6andx2 =0 Question#2: Inthe(x,y)coordinateplane,threelineshavetheequations: l1: y=ax+1 l2: y=bx+2 l3: y=cx+3 Whichofthefollowingmaybevaluesofa,bandc,iflinel3isperpendiculartoboth linesl1andl2? (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4页共11页 Question#3: Themanagementteamofacompanyhas250menand125women.If 200ofthemanagershaveamasterdegree,and100ofthemanagerswiththemaster degreearewomen,howmanyofthemanagersaremenwithoutamasterdegree? (a)125(b)150(c)175(d)200(e)225 Question#4: Inthefigurebelow,theareaofsquareABCDisequaltothesumofthe areasoftrianglesABEandDCE.IfAB=6,thenCE= (a)5 (b)6 (c)2 (d)3 (e)4 Question#5: Ifαandβaretheanglesoftherighttriangleshowninthefigureabove,thensin 2α+ sin2βisequalto: (a)cos(β)(b)sin(β)(c)1(d)cos2(β)(e)-1 Question#6: Theaverageofnumbers(a+9)and(a-1)isequaltob,whereaandbare integers.Theproductofthesametwointegersisequalto(b-1)2.Whatisthevalueof a? (a)a=9(b)a=1(c)a=0(d)a=5(e)a=11 第5页共11页 Question#1: Iff(x)=xandg(x)=√x,x≥0,solutionswhatareofthef(x)=g(x)? (A)x=1(B)x1=1,x2=-1 (C)x1=1,x2=0(D)x=0 (E)x=-1 Question#2: WhatisthelengthofthearcABinthefigurebelow,ifOisthecenterof thecircleandtriangleOABisequilateral? Theradiusofthecircleis9 (a)π(b)2·π(c)3·π(d)4·π(e)π/2 Question#3: Whatistheprobabilitythatsomeonethatthrows2dicegetsa5anda6? Eachdicehassidesnumberedfrom1to6. (a)1/2(b)1/6(c)1/12(d)1/18(e)1/36 Question#4: AcyclistbikesfromtownAtotownBandbacktotownAin3hours.He bikesfromAtoBataspeedof15miles/hourwhilehisreturnspeedis10miles/hour. Whatisthedistancebetweenthe2towns? (a)11miles(b)18miles(c)15miles(d)12miles(e)10miles Question#5: Thevolumeofacube-shapedglassC1ofedgeaisequaltohalfthe volumeofacylinder-shapedglassC2.TheradiusofC2isequaltotheedgeofC1. WhatistheheightofC2? (a)2·a/π(b)a/π(c)a/(2·π)(d)a/π(e)a+π 第6页共11页 Question#6: Howmanyintegersxaretheresuchthat2x<100,andatthesametime thenumber2x+2isanintegerdivisiblebyboth3and2? (a)1(b)2(c)3(d)4(e)5 Question#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,eachofthefollowing couldbethevalueofx+yexcept: (a)13 (b)17 (c)23 (d)15 (e)43 Question#9: Theaverageoftheintegers24,6,12,xandyis11.Whatisthevalueof thesumx+y? (a)11 (b)17 (c)13 (d)15 (e)9 Question#10: Theinequality|2x-1|>5mustbetrueinwhichoneofthefollowing cases? I.x<-5II.x>7III.x>0 1.Threeunitcirclesarearrangedsothateachtouchestheothertwo.Findtheradiiofthetwocircleswhichtouchallthree. 第7页共11页 2.Findallrealnumbersxsuchthatx+1=|x+3|-|x-1|. 3. (1) Givenx=(1+1/n) n,y=(1+1/n) n+1,showthatx y=yx. (2) Showthat1 2-22 +32-42+...+(-1) n+1n2=(-1) n+1(1+2+...+n). 4.Allcoefficientsofthepolynomialp(x)arenon-negativeandnoneexceedp(0).If p(x)hasdegreen,showthatthecoefficientofxn+1inp(x)2isatmostp (1)2/2. 第8页共11页 5.Whatisthemaximumpossiblevalueforthesumoftheabsolutevaluesofthe differencesbetweeneachpairofnnon-negativerealnumberswhichdonot exceed1? 6.ABisadiameterofacircle.XisapointonthecircleotherthanthemidpointofthearcAB.BXmeetsthetangentatAatP,andAXmeetsthetangentatBatQ.ShowthatthelinePQ,thetangentatXandthelineABareconcurrent. 7.Fourpointsonacircledivideitintofourarcs.Thefourmidpointsforma quadrilateral.Showthatitsdiagonalsareperpendicular. 第9页共11页 8.Findthesmallestpositiveintegerbforwhich7+7b+7b2isafourthpower. 9.Showthattherearenopositiveintegersm,nsuchthat4m(m+1)=n(n+1). 10.ABCDisaconvexquadrilateralwitharea1.ThelinesAD,BCmeetatX.ThemidpointsofthediagonalsACandBDareYandZ.FindtheareaofthetriangleXYZ. 第10页共11页 11.Asquarehastensdigit7.Whatistheunitsdigit? 12.Findallorderedtriples(x,y,z)ofrealnumberswhichsatisfythefollowingsystemofequations: xy=z-x-yxz=y-x-zyz=x-y-z 第11页共11页
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