2025年GRE考試《數(shù)學真題》練習考試時間：______分鐘總分：______分姓名：______Section11.If3x+4=19,whatisthevalueofx?2.Theaverage(arithmeticmean)offivenumbersis6.Ifoneofthenumbersis4,whatisthesumoftheotherfournumbers?3.Inacertaincompany,theratioofthenumberofmaleemployeestothenumberoffemaleemployeesis3to5.Ifthecompanyhas40femaleemployees,howmanymaleemployeesdoesthecompanyhave?4.Whatisthevalueof|-7|+|3|?5.Ifarectanglehasalengthof12inchesandawidthof8inches,whatisitsperimeterininches?6.Astoresold15shirtsat$20eachand12pairsofpantsat$30each.Whatwasthetotalrevenuefromsellingtheseitems?7.Intheequationx^2-5x+6=0,whatarethepossiblevaluesofx?8.Atraintravelsataconstantspeedof60milesperhour.Howfarwillittravelin3.5hours?9.If5y-7=23,whatisthevalueof2y?10.Whichofthefollowingisafactorof72?(A)3(B)4(C)5(D)8(E)1011.Ifa=3andb=-2,whatisthevalueofa^2-b^2?12.Inatriangle,themeasuresoftwoanglesare45degreesand55degrees.Whatisthemeasureofthethirdangle?13.Thelengthofasideofasquareis7cm.Whatistheareaofthesquareinsquarecentimeters?14.Iftheprobabilityofaneventoccurringis1/4,whatistheprobabilityoftheeventnotoccurring?15.Abagcontains6redmarblesand4bluemarbles.Ifonemarbleisdrawnatrandom,whatistheprobabilitythatitisaredmarble?16.Whatistheslopeofthelinepassingthroughthepoints(2,3)and(5,11)?17.Iff(x)=2x+5,whatisthevalueoff(3)?18.Acylinderhasaradiusof4cmandaheightof10cm.Whatisthevolumeofthecylinderincubiccentimeters?(Useπ≈3.14)19.Whichofthefollowingexpressionsisequivalentto(x+3)(x-3)?(A)x^2+9(B)x^2-9(C)2x^2+6x(D)2x^2-6x(E)6x^2-920.Anumberisselectedatrandomfromtheset{1,2,3,4,5,6}.Whatistheprobabilitythatthenumberiseven?Section221.If4x-7=13,whatisthevalueof3x?22.Theaverage(arithmeticmean)scoreofthreestudentsis85.Iftwoofthestudentsscored80and90respectively,whatwasthescoreofthethirdstudent?23.Aboxcontains20candies,ofwhich8arechocolateand12arefruitflavored.Iftwocandiesaredrawnatrandomwithoutreplacement,whatistheprobabilitythatbothcandiesarechocolate?24.Whatisthevalueof5^0?25.Iftheareaofacircleis36πsquareinches,whatisthelengthoftheradiusininches?(Useπ≈3.14)26.Solvetheinequality:3x+2>11.27.Inarighttriangle,oneanglemeasures30degreesandthelengthofthesideoppositethisangleis10cm.Whatisthelengthofthehypotenuseincm?28.Thepriceofabookis$18.Ifthepriceisincreasedby25%,whatisthenewpriceofthebook?29.Iff(x)=x^2-4x+3,whatarethex-interceptsofthegraphofthefunction?30.Aregularhexagonhasaperimeterof42cm.Whatisthelengthofonesideofthehexagonincm?31.If3y=5xandx=6,whatisthevalueofy?32.Acartravels240milesusing8gallonsofgas.Whatisthecar'sfuelefficiencyinmilespergallon?33.ThecoordinatesofpointAare(1,2)andthecoordinatesofpointBare(4,6).WhatisthedistancebetweenpointAandpointB?34.Whichofthefollowingisasolutiontotheequation2x^2-5x-3=0?(A)-1(B)1(C)3(D)-3(E)535.Atrianglehassidesoflengths5cm,12cm,and13cm.Isthistrianglearighttriangle?Explainyouranswer.36.Ifthecoordinatesofapointonthex-axisare(a,0),whatmustbetrueaboutthevalueofa?37.Themedianofasetof7numbersis9.If5ofthenumbersare8,9,10,12,and14,whatisthevalueoftheremainingnumber?38.Asequencebeginswith2andeachsubsequenttermis3morethanthepreviousterm.Whatisthe10thtermofthesequence?39.Iftheratioofatobis3:4,anda=15,whatisthevalueofb?40.Aprojectrequires15hoursofwork.If3peopleworktogether,howmanyhourswillittaketocompletetheproject?試卷答案1.5解析：3x+4=193x=15x=52.14解析：5*6=30Sumofotherfour=30-4=263.24解析：Ratio=3/5(3/5)*Female=Male(3/5)*40=244.10解析：|-7|=7,|3|=37+3=105.40解析：Perimeter=2*(Length+Width)2*(12+8)=2*20=406.420解析：Revenue=(15*20)+(12*30)=300+360=4207.2,3解析：(x-2)(x-3)=0x=2orx=38.210解析：Distance=Speed*Time=60*3.5=210miles9.13解析：5y-7=235y=30y=62y=2*6=1210.A解析：Factorsof72are1,2,3,4,6,8,9,12,18,24,36,72.3isafactor.11.25解析：a^2-b^2=(3)^2-(-2)^2=9-4=512.80degrees解析:Sumofanglesintriangleis180degrees.Thirdangle=180-(45+55)=180-100=80degrees13.49解析：Area=side^2=(7)^2=49cm^214.3/4解析：Probability(notoccurring)=1-Probability(occurring)=1-1/4=3/415.3/5解析：Probability(red)=Numberofred/Totalmarbles=6/(6+4)=6/10=3/516.2解析：Slope=(y2-y1)/(x2-x1)=(11-3)/(5-2)=8/317.11解析：f(3)=2*(3)+5=6+5=1118.502.4解析：Volume=π*r^2*h=3.14*(4)^2*10=3.14*16*10=502.4cm^319.B解析：(x+3)(x-3)=x^2-3^2=x^2-920.1/2解析：Probability(even)=Numberofeven/Totalnumbers=3/(1+2+3+4+5+6)=3/6=1/221.8解析：4x-7=134x=20x=53x=3*5=1522.90解析：Sumofthreescores=3*85=255Scoreofthirdstudent=255-(80+90)=255-170=8523.4/17解析：P(firstchocolate)=8/20P(secondchocolate|firstwaschocolate)=7/19P(bothchocolate)=(8/20)*(7/19)=56/380=4/1724.1解析:Anynon-zeronumberraisedtothepowerof0is1.25.6解析：Area=π*r^236π=π*r^2r^2=36r=6inches26.x>3解析：3x+2>113x>9x>327.20解析：Ina30-60-90triangle,hypotenuse=(sideopposite60degrees)*2Hypotenuse=10*2=20cm28.22.5解析：Increase=25%of18=(25/100)*18=4.5Newprice=18+4.5=22.529.1,3解析:Tofindx-intercepts,setf(x)=0:x^2-4x+3=0(x-1)(x-3)=0x=1orx=330.7解析：Perimeter=6*(sidelength)42=6*sidelengthsidelength=42/6=7cm31.10解析：3y=5xy=(5/3)xIfx=6,y=(5/3)*6=30/3=1032.30解析：Fuelefficiency=Distance/Gallons=240/8=30miles/gallon33.5解析：Distance=√((x2-x1)^2+(y2-y1)^2)=√((4-1)^2+(6-2)^2)=√(3^2+4^2)=√(9+16)=√25=534.C解析：Testx=3intheequation:2(3)^2-5(3)-3=02(9)-15-3=018-15-3=00=0.So,x=3isasolution.35.Yes解析:CheckifitsatisfiesthePythagoreantheorem(a^2+b^2=c^2).5^2+12^2=25+144=16913^2=169Since5^2+12^2=13^2,itisarighttriangle.36.acanbeanyrealnumber解析:Thex-coordinateofap