sat真题

SAT数学真题精选

SAT数学真题精选

2x+3=9,whatisthevalueof4x–3?

(A)5(B)9(C)15(D)18(E)21

4(t+u)+3=19,thent+u=?

(A)3(B)4(C)5(D)6(E)7

y-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=-2x

ivisibleby2,3,and15,whichofthefollowingisalsodivisiblebythenumbers?

(A)K+5(B)K+15(C)K+20(D)K+30(E)K+45

ctioncontainsatleast150atsbutnotmorethan200ats.

Whichofthefollowingcouldbethenumberofatsinthisauditorium?

(A)800(B)1,000(C)1,100(D)1,300(E)1,700

=1andrsum=0,whichofthefollowingmustbetrue?

(A)r<1(B)s<1(C)u=2(D)r=0(E)m=0

stintegerofatofconcutiveintegers(连续整数)is–umoftheintegersis127,howmanyintegers

areinthist?

(A)126(B)127(C)252(D)253(E)254

allotteryistobehre200

niors,300juniors,nior’snameisplacedinthelottery3times;eachjunior’s

name,2time;andeachsophomore’sname,dent’snameischonatrandomfromthenamesinthelottery,

whatistheprobabilitythatanior’snamewillbechon?

（A）1/8(B)2/9(C)2/7(D)3/8(E)1/2

Question#1:50%llstudentslivingoncampus,40%aregraduatestudents.

WhatpercentageofUSstudentsaregraduatestudentslivingoncampus?

(A)90%(B)5%(C)40%(D)20%(E)25%

Question#2:Inthefigurebelow,MNisparallelwithBCandAM/AB=2/theratiobetweentheareaoftriangleAMN

andtheareaoftriangleABC?

(A)5/9(B)2/3(C)4/9(D)1/2(E)2/9

Question#3:Ifa2+3isdivisibleby7,whichofthefollowingvaluescanbea?

(A)7(B)8(C)9(D)11(E)4

Question#4:Whatisthevalueofb,ifx=2isasolutionofequationx2-b·x+1=0?

(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)pairssatisfytheinequalitymn<100?

(A)2(B)3(C)4(D)5(E)7

Question#7:TheUSdeerpopulationincreais50%timeslargerwillthedeerpopulationbein

60years?

(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)4

Question#9:

USUKMedals

32gold

14silver

41bronze

Thenumbthepercentageofbronze

medalswonbyUKoutofallmedalswonbythe2teams?

(A)20%(B)6.66%(C)26.6%(D)33.3%(E)10%

Question#10:thesurfacearea,insquareinches,ofthiscube?

(A)66(B)60(C)76(D)96(E)65

Question#1:Thesumofthetwosolutionsofthequadraticequationf(x)=0iqualto1andtheproductofthesolutionsis

ethesolutionsoftheequationf(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,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

Question#3:200ofthemanagershaveamaster

degree,and100ofthemanagerswiththemasterdegreearewomen,howmanyofthemanagersaremenwithoutamaster

degree?(a)125(b)150(c)175(d)200(e)225

Question#4:Inthefigurebelow,t=

6,thenCE=

(a)5(b)6(c)2(d)3(e)4

Question#5:

Ifαandβaretheanglesoftherighttriangleshowninthefigureabove,thensin2α+sin2βiqualto:

(a)cos(β)(b)sin(β)(c)1(d)cos2(β)(e)-1

Question#6:Theaverageofnumbers(a+9)and(a-1)iqualtob,ductofthesame

twointegersiqualto(b-1)thevalueofa?

(a)a=9(b)a=1(c)a=0(d)a=5(e)a=11

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=-1

Question#2:WhatisthelengthofthearcABinthefigurebelow,ifOisthecenterofthecircleandtriangleOABis

equilateral?Theradiusofthecircleis9

(a)π(b)2·π(c)3·π(d)4·π(e)π/2Question#3:Whatistheprobabilitythatsomeonethatthrows2dicegetsa5anda6?Each

dicehassidesnumberedfrom1to6.

(a)1/2(b)1/6(c)1/12(d)1/18(e)1/36

Question#4:sfromAtoBataspeedof15

miles/hourwhilehisreturnspeedis10miles/thedistancebetweenthe2towns?

(a)11miles(b)18miles(c)15miles(d)12miles(e)10milesQuestion#5:Thevolumeofacube-shapedglassC1ofedgeais

theheightof

C2?

(a)2·a/π(b)a/π(c)a/(2·π)(d)a/π(e)a+π

Question#6:Howmanyintegersxaretheresuchthat2x<100,andatthesametimethenumber2x+2isanintegerdivisible

byboth3and2?

(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,eachofthefollowingcouldbethevalueofx+yexcept:

(a)13(b)17(c)23(d)15(e)43

Question#9:Theaverageoftheintegers24,6,12,thevalueofthesumx+y?

(a)11(b)17(c)13(d)15(e)9

Question#10:Theinequality|2x-1|>5mustbetrueinwhichoneofthefollowingcas?

I.x<-5II.x>7III.x>0

eradiiof

thetwocircleswhichtouchallthree.

lrealnumbersxsuchthatx+1=|x+3|-|x-1|.

3.(1)Givenx=(1+1/n)n,y=(1+1/n)n+1,showthatxy=yx.

(2)Showthat12-22+32-42+...+(-1)n+1n2=(-1)n+1(1+2+...+n).

fficientsofthepolynomialp(x)arenon-negativeandnoneexceedp(0).If

p(x)hasdegreen,showthatthecoefficientofxn+1inp(x)2isatmostp(1)2/2.

themaximumpossiblevalueforthesumoftheabsolutevaluesofthe

differencesbetweeneachpairofnnon-negativerealnumberswhichdonotexceed1?

intonthecircleotherthanthemidpointofthe

sthetangentatAatP,atthelinePQ,thetangentatXandthe

lineABareconcurrent.

rmidpointsforma

atitsdiagonalsareperpendicular.

esmallestpositiveintegerbforwhich7+7b+7b2isafourthpower.

attherearenopositiveintegersm,nsuchthat4m(m+1)=n(n+1).

esAD,

eareaofthetriangleXYZ.