sat数学试题Word格式文档下载.docx

sat数学试题Word格式文档下载.docx

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.Theanswercanbeenteredinthegridas 

下面是两道SAT数学练习题，都是选择题，后面附有答案及其解析。

SAT数学练习题可以让大家更快更好的了解SAT数学考试的出题方式以及应对方式。

下面是详细内容，我们一起来看一下这些SAT数学练习题的吧。

　　1、ConeAhasvolume24.Whenitsradiusandheightaremultipliedbythesamefactor,thecone’ssurfaceareadoubles.WhatisConeA’snewvolume?

　　（A）

　　（B）48

　　（C）

　　（D）96

　　（E）Notenoughinformationtotell

　　2、A

rectanglestandssothatits6inchsideliesflatagainsttheground.Iftherectangleisrotatedaroundtheaxisofoneofitstwo4inchsides,whatisthevolumeoftheresultingcylinder?

　　（A）24Ï

€

　　（B）36Ï

　　（C）64Ï

　　（D）96Ï

　　（D）144Ï

　　Answers

　　1、C

　　Theformulaforacone’ssurfaceareaisπr2+πrl.Acone’svolumeis1/3πr2h.Soifthedimensionsofaconearemultipliedbythesamefactor,a,

　　thenitssurfaceareamultipliesbythesquareofthatfactor.Ifthedimensionsofaconearemultipliedbythesamefactor,thevolumebecomesmultipliedbythecubeofthatfactor:

　　Ingeneral,forsolids,ifeachdimensionofaconeismultipliedbythesamefactor,thesolid’ssurfaceareaismultipliedbythesquareofthatfactor,anditsvolumeincreasesbythecubeofthatfactor.IfthesurfaceareaofConeAdoubles,itsdimensionsaremultipliedbyafactorof

Thus,thecone’svolumeismultipliedbyafactorof

ConeA’snewvolumeis

　　2、E

　　Iftherectangleisrotatedaboutasideoflength4,thentheheightofthecylinderwillbe4andtheradiuswillbe6.

　　Onceyouvisualizethecylinder,youcanpluginthevaluesforthevolumeofacylinder:

一道SAT数学题（抛物线）

天道留学 

时间：

2011-08-26

点击：

26次

　　下面是一道关于抛物线的SAT数学题及其解法的内容，非常详细。

SAT题中，抛物线是必考的一类，虽然中学课程都有所涉及，还是相对比较抽象，尤其是在理解SAT数学题的表达方式上。

下面我们来看看这道关于抛物线的SAT数学题吧。

ReadthefollowingSATtestquestionandthenclickonabuttontoselectyouranswer.

　　Thequadraticfunction

isgraphedinthe

-planeabove.If　

forallvaluesof

whichofthefollowingcouldbethecoordinatesofpoint

?

　　AnswerChoices

　　（B）

　　（D）

　　（E）

　　ThecorrectanswerisC

　　Thefactthat

meansthatthepoint

isthemaximumofthequadraticfunction

so

mustbethevertexoftheparabola.Theparabolaintersectsthe

-axisatthepoints

and

mustbehalfwaybetween

.Therefore,

.Ofthechoices,theonlyonewith

-coordinateequalto

is

couldbethecoordinatesofpoint

1.Whatisthelengthofthelinesegmentinthex-yplanewithendpointsat（-2,-2）and（2,3）?

　　A.3

　　B.√31

　　C.√41

　　D.7

　　E.9

　　CorrectAnswer:

C

　　解析:

　　Sketchadiagramandcalculatethedistance（hypotenuseofarighttriangle）usingPythagorastheorem.

　　Verticalheightoftriangle=5;

horizontalside=4;

hypotenuse=√（25+16）=√41

　　2.nisanintegerchosenatrandomfromtheset{5,7,9,11}

　　pischosenatrandomfromtheset{2,6,10,14,18}

　　Whatistheprobabilitythatn+p=23?

　　A.0.1

　　B.0.2

　　C.0.25

　　D.0.3

　　E.0.4

A

　　Eachoftheintegersinthefirstsetcouldbecombinedwithanyfromthesecondset,givingatotalof4x5=20possiblepairs.Ofthesethecombinationsthatcouldgiveasumof23are（5+18）,and（9+14）.Thismeansthattheprobabilityofgettingasumof23is2/20=1/10

　　3.Adressonsaleinashopismarkedat$D.Duringthediscountsaleitspriceisreducedby15%.Staffareallowedafurther10%reductiononthediscountedprice.IfastaffmemberbuysthedresswhatwillshehavetopayintermsofD?

　　A.0.75D

　　B.0.76D

　　C.0.765D

　　D.0.775D

　　E.0.805D

　　Ifthepriceisreducedby15%,thenthenewpricewillbe0.85D.Ifthisnewpriceisfurtherreducedby10%,thediscountedpricewillbe0.9x0.85D=0.765D

　　4.Allthedotsinthearrayare2unitsapartverticallyandhorizontally.Whatisthelengthofthelongestlinesegmentthatcanbedrawnjoininganytwopointsinthearraywithoutpassingthroughanyotherpoint?

　　A.2

　　B.2√2

　　C.3

　　D.√10

　　E.√20

E

　　Thelongestlinesegmentthatcanbedrawnwithoutpassingthroughanydotsotherthanthoseatthebeginningandendofthesegment,suchalinecouldgofromthemiddledotinthetoprowtoeitherthebottomleftorrightdot.Inanycasethesegmentwillbethehypotenuseofarighttrianglewithsides2and4.UsingPythagorastheoremthehypotenusewillbe√（2²

+4²

）=√20

　　5.IftheradiusofthecirclewithcentreOis7andthemeasureofangleAOBis100,whatisthebestapproximationtothelengthofarcAB?

　　A.9

　　B.10

　　C.11

　　D.12

　　E.13

D

　　Iftheradiusis7,thecircumference=14π.Thelengthofthearcis100/360ofthecircumference.Takingπas22/7weget.（100x14x22）/（360x7）whichreducesto440/36=12.22（i.e.approx.12）

1、AtCentralHighSchool,themathclubhas 

membersandthechessclubhas

members.Ifatotalof 

studentsbelongtoonlyoneofthetwoclubs,howmanystudentsbelongtobothclubs?

　　（A） 

　　（B） 

　　（C） 

　（D） 

　　（E） 

　　Let 

standforthenumberofstudentswhobelongtobothclubs.The 

membersofthemathclubcanbebrokendownintotwogroups:

thosewhoareinbothclubs（thereare 

studentsinthiscategory）andthosewhoareinthemathclubonly（thereare 

studentsinthiscategory）.

　　The 

membersofthechessclubcanalsobebrokendownintotwogroups:

studentswhoareinbothclubsand 

studentswhoareinthechessclubonly.

　　Sinceatotalof 

studentsbelongtoonlyoneofthetwoclubs,youknowthat 

.Solvingthisequationgives 

so 

studentsbelongtobothclubs。

　　2、If 

isdivisibleby 

and 

whichofthefollowingisalsodivisiblebythesenumbers?

　　（D） 

　　ThecorrectanswerisD

mustbeamultipleof 

as 

istheleastcommonmultipleof 

.Somemultiplesof 

are 

　　Ifyouaddtwomultiplesof 

thesumwillalsobeamultipleof 

.Forexample, 

aremultiplesof 

andtheirsum, 

isalsoamultipleof 

　　Ifyouaddamultipleof 

toanumberthatisnotamultipleof 

thesumwillnotbeamultipleof 

isamultipleof 

isnot.Theirsum, 

isnotamultipleof 

　　Thequestionaskswhichanswerchoiceisdivisibleby 

;

thatis,whichanswerchoiceisamultipleof 

.Alltheanswerchoicesareintheformof"

plusanumber."

Onlychoice（D）, 

has 

addedtoamultipleof 

.Thesumof

isalsoamultipleof

sothecorrectanswerischoice（D）.

　　3、Inan 

solutionofwaterandalcohol,theratiobymassofwatertoalcoholis 

to

.If 

gramsofasolutionconsistingof 

gramswaterforeachgramofalcoholisaddedtothe 

solution,whatfractionbymassofthenewsolutionisalcohol?

　　ThecorrectanswerisB

　　Tofindwhatfractionbymassofthenewsolutionisalcohol,youcanfindhowmanygramsofalcoholareinthefinalsolutionof 

grams.Sincethe 

solutionis 

partalcoholto 

partswater,itis 

alcohol.Soitcontains 

gramsofalcohol.Similarly,the 

solutionis

alcoholbymass,soitcontains 

gramsofalcohol.Thus,thefinal20-gramsolutioncontains 

gramsofalcohol,so 

or 

ofitisalcohol.

　1.Ofthefollowing,whichisgreaterthan?

　　A.2/5

　　B.4/7

　　C.4/9

　　D.5/11

　　E.6/13

　　2.Ifanobjecttravelsatfivefeetpersecond,howmanyfeetdoesittravelinonehour?

　　A.30

　　B.300

　　C.720

　　D.1800

　　E.18000

　　3.Whatistheaverage（arithmeticmean）ofallthemultiplesoftenfrom10to190inclusive?

　　A.90

　　B.95

　　C.100

　　D.105

　　E.110

　　4.Acubicalblockofmetalweighs6pounds.Howmuchwillanothercubeofthesamemetalweighifitssidesaretwiceaslong?

　　A.48

　　B.32

　　C.24

　　D.18

　　E.12

　　5.Inaclassof78students41aretakingFrench,22aretakingGermanand9studentsaretakingbothFrenchandGerman.Howmanystudentsarenotenrolledineithercourse?

　　A.6

　　B.15

　　D.33

　　E.54

　　1.CorrectAnswer:

B

　　Explanation:

　　Onewaytodealwithfractionsistoconvertthemalltodecimals.（Usingyourcalculator,dividethenumeratorbythedenominator）.

　　Inthiscaseallyouwouldneedtodoistoseewhichisgreaterthan0.5.

　　Otherwisetoseewhichisgreaterthan?

doublethenumeratorandseeiftheresultisgreaterthanthedenominator.InB,thecorrectanswer,doublingthenumeratorgivesus8,whichisbiggerthan7.

　　2.CorrectAnswer:

　　Ifanobjecttravelsat5feetperseconditcovers5x60feetinoneminute,and5x60x60feetinonehour.Answer=18000（E）

　　3.CorrectAnswer:

　　Youcouldaddupallthemultiplesof10（10+20