ETS官方GRE数学样题Word文档格式.docx
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ETS官方GRE数学样题Word文档格式.docx
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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
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