SAT频道为大家带来SAT数学练习题整理2一文,希望对大家SAT备考有所帮助。更多精彩尽请关注SAT频道! 1. Which...
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1.Whichofthefollowingcouldbeavalueofx,inthediagramabove?
A.10
B.20
C.40
D.50
E.anyoftheabove
2.Helpersareneededtoprepareforthefete.Eachhelpercanmakeeither2largecakesor35smallcakesperhour.Thekitchenisavailablefor3hoursand20largecakesand700smallcakesareneeded.Howmanyhelpersarerequired?
A.10
B.15
C.20
D.25
E.30
3.Jo'scollectioncontainsUS,IndianandBritishstamps.IftheratioofUStoIndianstampsis5to2andtheratioofIndiantoBritishstampsis5to1,whatistheratioofUStoBritishstamps?
A.5:1
B.10:5
C.15:2
D.20:2
E.25:2
4.A3by4rectangleisinscribedincircle.Whatisthecircumferenceofthecircle?
A.2.5π
B.3π
C.5π
D.4π
E.10π
5.Twosetsof4consecutivepositiveintegershaveexactlyoneintegerincommon.Thesumoftheintegersinthesetwithgreaternumbersishowmuchgreaterthanthesumoftheintegersintheotherset?
A.4
B.7
C.8
D.12
E.itcannotbedeterminedfromtheinformationgiven.
6.Iff(x)=(x+2)/(x-2)forallintegersexceptx=2,whichofthefollowinghasthegreatestvalue?
A.f(-1)
B.f(0)
C.f(1)
D.f(3)
E.f(4)
7.ABCDisasquareofside3,andEandFarethemidpointsofsidesABandBCrespectively.WhatistheareaofthequadrilateralEBFD?
A.2.25
B.3
C.4
D.4.5
E.6
8.Ifn≠0,whichofthefollowingmustbegreaterthann?
I2n
IIn2
III2-n
A.Ionly
B.IIonly
C.IandIIonly
D.IIandIIIonly
E.None
9.Afterbeingdroppedacertainballalwaysbouncesbackto2/5oftheheightofitspreviousbounce.Afterthefirstbounceitreachesaheightof125inches.Howhigh(ininches)willitreachafteritsfourthbounce?
A.20
B.15
C.8
D.5
E.3.2
10.nandpareintegersgreaterthan1
5nisthesquareofanumber
75npisthecubeofanumber.
Thesmallestvalueforn+pis
A.14
B.18
C.20
D.30
E.50
1.CorrectAnswer:B
Explanation:
Themarkedangle,ABCmustbemorethan90degreesbecauseitistheexternalangleoftriangleBDC,andmustbeequaltothesumofanglesBDC(90)andDCB.
AlsoABCisnotastraightlineandmustbelessthan180.
Therefore90<5x<180
Theonlyvalueofxwhichsatisfiesthisrelationis20.
2.CorrectAnswer:A
Explanation:
20largecakeswillrequiretheequivalentof10helpersworkingforonehour.700smallcakeswillrequiretheequivalentof20helpersworkingforonehour.Thismeansifonlyonehourwereavailablewewouldneed30helpers.Butsincethreehoursareavailablewecanuse10helpers.
3.CorrectAnswer:E
Explanation:
Indianstampsarecommontobothratios.MultiplybothratiosbyfactorssuchthattheIndianstampsarerepresentedbythesamenumber.
US:Indian=5:2,andIndian:British=5:1.Multiplythefirstby5,andthesecondby2.
NowUS:Indian=25:10,andIndian:British=10:2
HencethetworatioscanbecombinedandUS:British=25:2
4.CorrectAnswer:C
Explanation:
Drawthediagram.Thediagonaloftherectangleisthediameterofthecircle.Thediagonalisthehypotenuseofa3,4,5triangle,andistherefore,5.
Circumference=π.diameter=5π
5.CorrectAnswer:D
Explanation:
Iftwosetsoffourconsecutiveintegershaveoneintegerincommon,thetotalinthecombinedsetis7.,andwecanwritethesetsas
n+(n+1)+(n+2)+(n+3)and
(n+3)+(n+4)+(n+5)+(n+6)
Notethateachterminthesecondsetis3morethantheequivalentterminthefirstset.Sincetherearefourtermsthetotalofthedifferenceswillbe4x3=12
6.CorrectAnswer:D
Explanation:
Youcansolvethisbybacksolving–substitutetheanswerchoicesintheexpressionandseewhichgivesthegreatestvalue.sat
A(-1+2)/(-1-2)=-2/2=-1;
B(0+2)/(0-2)=2/-2=-1;
C(1+2)/(1-2)=3/-1=-3;
D(3+2)/(3-2)=5/1=5;
E(4+2)/(4-2)=6/2=3
Ifyouhadjustchosenthelargestvalueforxyouwouldhavebeenwrong.Soalthoughitlooksalongmethod,itisactuallyquickandaccuratesincethenumbersarereallysimpleandyoucandothemathinyourhead.
7.CorrectAnswer:D
Explanation:
(Totalareaofsquare-sumoftheareasoftrianglesADEandDCF)willgivetheareaofthequadrilateral
9-(2xx3x1.5)=4.5
8.CorrectAnswer:E
Explanation:
Rememberthatncouldbepositivenegativeorafraction.Tryoutafewcases:
IncaseI,ifnis-1,then2nislessthann.
IncaseII,ifnisafractionsuchasthenn2willbelessthann.
IncaseIII,ifnis2,then2-n=0,whichislessthann.
Therefore,noneofthechoicesmustbegreaterthann
9.CorrectAnswer:C
Explanation:
Ifaftereachbounceitreaches2/5ofthepreviousheight,thenafterthesecondbounceitwillreach2/5x125.Afterthethirditwillreach2/5x2/5x125.Afterthefourthitwillreach2/5x2/5x2/5x125.Thiscancelsdownto2x2x2=8
10.CorrectAnswer:A
Explanation:
Thesmallestvaluefornsuchthat5nisasquareis5.
75npcannowbewrittenas75x5xp.
Thisgivesprimefactors....3x5x5x5xp
Tomaketheexpressionaperfectcube,pwillhavetohavefactors3x3,andhencep=9
n+p=5+9=14
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