新GRE数学样题解析Word文档格式.docx

新GRE数学样题解析Word文档格式.docx

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EachquestionappearseitherindependentlyasadiscretequestionoraspartofasetofquestionscalledaDataInterpretationset.AllofthequestionsinaDataInterpretationsetarebasedonthesamedatapresentedintables,graphs,orotherdisplaysofdata.Belowaredescriptions,directions,andsamplesofeachtypeofquestion.

Multiple-ChoiceQuestions—SelectOneAnswerChoice

Thesequestionsaremultiple-choicequestionsthataskyoutoselectonlyoneanswerchoicefromalistoffivechoices.

SampleQuestions

Directions:

Selectasingleanswerchoice.

Samplequestion1belowisbasedonfigure1.

Figure1

Beginskippablefiguredescription.

Figure1isacirclewithcenterC.Twodiametersofthecirclearedrawn,dividingthecircleinto4sectors.Twononadjacentsectorsareshaded,andthecentralangleofoneoftheunshadedsectorsmeasures160degrees.

Endskippablefiguredescription.

1. 

Figure1aboveshowsacirclewithcenterCandradius6.Whatisthesumoftheareasofthetwoshadedregions?

A. 

7.5pi

B. 

6pi

C. 

4.5pi

D. 

4pi

E. 

3pi

Answer:

D（

4pi）

Samplequestion2belowisbasedonfigure2.

Figure2

Figure2showsthegraphinthexyplaneofthefunctionfofx=theabsolutevalueof2x,endabsolutevalue,+4. 

Thereareequallyspacedtickmarksalongthexaxisandalongtheyaxis. 

Thefirsttickmarktotherightoftheorigin,andthefirsttickmarkabovetheorigin,arebothlabeled1.

ThegraphofthefunctionfisintheshapeoftheletterV. 

Itisabovethexaxisandissymmetricwithrespecttotheyaxis.

Thelowestpointonthegraphoffisthepoint0comma4ontheyaxis.

Goingleftwardfromthepoint0comma4thegraphoffisalinethatslantsupward,passingthroughthepointnegative2comma8.

Goingrightwardfromthepoint0comma4thegraphoffisalinethatslantsupward,passingthroughthepoint2comma8.

2. 

Figure2aboveshowsthegraphofafunctionf,definedby

fofx=theabsolutevalueof2x,endabsolutevalue,+4forallnumbersx.Forwhichofthefollowingfunctionsgdefinedforallnumbersxdoesthegraphofgintersectthegraphoff?

A. 

gofx=xminus2

B. 

gofx=x+3

C. 

gofx=2xminus2

D. 

gofx=2x+3

E. 

gofx=3xminus2

E（

gofx=3xminus2）

Multiple-ChoiceQuestions—SelectOneorMoreAnswerChoices

Thesequestionsaremultiple-choicequestionsthataskyoutoselectoneormoreanswerchoicesfromalistofchoices.Aquestionmayormaynotspecifythenumberofchoicestoselect.

Directions:

Selectoneormoreanswerchoicesaccordingtothespecificquestiondirections.

Ifthequestiondoesnotspecifyhowmanyanswerchoicestoselect,selectallthatapply.

Thecorrectanswermaybejustoneofthechoicesormaybeasmanyasallofthechoices,dependingonthequestion.

Nocreditisgivenunlessyouselectallofthecorrectchoicesandnoothers.

Ifthequestionspecifieshowmanyanswerchoicestoselect,selectexactlythatnumberofchoices.

EachemployeeofacertaincompanyisineitherDepartmentXorDepartmentY,andtherearemorethantwiceasmanyemployeesinDepartmentXasinDepartmentY.Theaverage（arithmeticmean）salaryis$25,000fortheemployeesinDepartmentXandis$35,000fortheemployeesinDepartmentY.Whichofthefollowingamountscouldbetheaveragesalaryforalloftheemployeesinthecompany?

Indicateallsuchamounts.

$26,000

$28,000

$29,000

$30,000

$31,000

F. 

$32,000

G. 

$34,000

A（$26,000）andB（$28,000）

Iff,g,andharepositiveintegers,fisafactorofg,andgisafactorofh,whichofthefollowingstatementsmustbetrue?

Indicateallsuchstatements.

fisafactorof

gsquared.

fisafactorofgh.

hminusg.

A（fisafactorof

gsquared）,B 

（fisafactorofgh.）,andC（fisafactorof

hminusg）

NumericEntryQuestions

Questionsofthistypeaskyoueithertoentertheanswerasanintegeroradecimalinasingleanswerboxortoenteritasafractionintwoseparateboxes—oneforthenumeratorandoneforthedenominator.Inthecomputer-administeredtest,thecomputermouseandkeyboardareusedtoentertheanswer.

Enteryouranswerintheanswerbox（es）belowthequestion.

Equivalentformsofthecorrectanswer,suchas2.5and2.50,areallcorrect.Fractionsdonotneedtobereducedtolowestterms.

Entertheexactanswerunlessthequestionasksyoutoroundyouranswer.

If

x=10tothepowernegative1,whatisthevalueof

openparenthesis,x+thefraction1overx,closeparenthesis,times,openparenthesis,1overx,closeparenthesis?

AnswerBox

101

Auniversityadmitted100studentswhotransferredfromotherinstitutions.Ofthesestudents,34transferredfromtwo-yearcommunitycolleges,25transferredfromprivatefour-yearinstitutions,andtheresttransferredfrompublicfour-yearinstitutions.Iftwodifferentstudentsaretobeselectedatrandomfromthe100students,whatistheprobabilitythatbothstudentsselectedwillbestudentswhotransferredfromtwo-yearcommunitycolleges?

Giveyouranswerasafraction.

Fractionanswerboxes

17over150（oranyequivalentfraction）.

QuantitativeComparisonQuestions

Questionsofthistypeasktheexamineetocomparetwoquantities—QuantityAandQuantityB—andthendeterminewhichoffourstatementsdescribesthecomparison.

CompareQuantityAandQuantityB,usingtheadditionalinformationgiven,ifany. 

Selectoneofthefollowingfouranswerchoices.

QuantityAisgreater.

QuantityBisgreater.

Thetwoquantitiesareequal.

Therelationshipcannotbedeterminedfromtheinformationgiven.

Asymbolthatappearsmorethanonceinaquestionhasthesamemeaningthroughoutthequestion.

1.

QuantityA:

xsquared+1

QuantityB:

2x,minus1

Therelationshipcannotbedeterminedfromtheinformationgiven.

A（QuantityAisgreater.）

Samplequestion2belowisbasedonfigure3.

Figure3

Figure3showsparallelogramRSTU.SidesR 

UandS 

Tarehorizontal,withS 

Tabove,andslightlytotheleftofsideR 

U.DiagonalS 

U,whichextendsfromvertexSattheupperleftoftheparallelogramtovertexUatthelowerrightoftheparallelogram,dividestheparallelogramintotwotriangles,R 

S 

UandU 

T;

andtheangleatvertexSinto2adjacentanglesR 

T.ThemeasureofangleR 

Uisxdegrees,andthemeasureofangleU 

Tisydegrees.

2.

ItisgiventhatRSTUisaparallelogram.

x

y

D（Therelationshipcannotbedeterminedfromtheinformationgiven.）

DataInterpretationSets

DataInterpretationquestionsaregroupedtogetherandrefertothesametable,graph,orotherdatapresentation.Thesequestionsaskyoutointerpretoranalyzethegivendata.ThetypesofquestionsmaybeMultiple-choice（bothtypes）orNumericEntry.

Questions1to3arebasedonthedatainthefollowingtable.

ThetableshowsthepercentchangeinmonthlyvalueofinventoryatsixbusinessesfromApriltoJune.

Business

PercentChangefromApriltoMay

PercentChangefromMaytoJune

G

+6

+8

K

+5

minus5

M

+2

+12

R

V

+14

Z

minus10

Note:

Inventoryvaluesaredeterminedattheendofeachmonth.

IfthevalueofinventoryatBusinessKwas$30,000forApril,whatwasthevalueofinventoryatBusinessKforJune?

$22,500

$29,925

$33,000

$33,075

B（$29,925）

AtBusinessM,thevalueofinventoryforMaywaswhatpercentofthevalueofinventoryforJune?

Giveyouranswertothenearest0.1percent.