gre考試試題及答案

一、單項選擇題（每題2分，共10題）1.Whichofthefollowingisaprimenumber?A.4B.6C.7D.9答案：C2.Ifx+3=5,thenx=?A.1B.2C.3D.4答案：B3.Theareaofasquarewithsidelength4is?A.8B.12C.16D.20答案：C4.Intheequationy=2x+1,whenx=3,y=?A.7B.8C.9D.10答案：A5.Whichofthefollowingisanevennumber?A.3B.5C.8D.11答案：C6.Theperimeterofarectanglewithlength5andwidth3is?A.12B.14C.16D.18答案：C7.Ifacirclehasaradiusof2,itscircumferenceis?(Useπ≈3.14)A.6.28B.9.42C.12.56D.15.7答案：C8.Whatisthenextnumberinthesequence:1,3,5,7,?A.8B.9C.11D.13答案：B9.Thevolumeofacubewithedgelength3is?A.9B.18C.27D.36答案：C10.Whichofthefollowingfractionsisthelargest?A.1/2B.2/3C.3/4D.4/5答案：D二、多項選擇題（每題2分，共10題）1.Whichofthefollowingnumbersaredivisibleby3?A.6B.9C.12D.15答案：ABCD2.Whichofthefollowinggeometricshapeshavefoursides?A.SquareB.RectangleC.RhombusD.Trapezoid答案：ABCD3.Whichofthefollowingareunitsoflength?A.MeterB.CentimeterC.InchD.Foot答案：ABCD4.Whichofthefollowingequationsarelinearequations?A.y=3x+1B.y=x2+1C.2x+3y=6D.y=4-2x答案：ACD5.Whichofthefollowingareprimenumbersbetween10and20?A.11B.13C.17D.19答案：ABCD6.Whichofthefollowingarefactorsof24?A.1B.2C.3D.4答案：ABCD7.Whichofthefollowingaretypesoftriangles?A.EquilateralB.IsoscelesC.ScaleneD.Right-angled答案：ABCD8.Whichofthefollowingareintegers?A.-2B.0C.3D.5.5答案：ABC9.Whichofthefollowingexpressionsrepresenttheareaofatriangle?A.1/2×base×heightB.(side1×side2×sin(angle))/2C.√(s(s-a)(s-b)(s-c))(Heron'sformula)D.base×height答案：ABC10.Whichofthefollowingarepositivenumbers?A.1B.2.5C.1/3D.0答案：ABC三、判斷題（每題2分，共10題）1.5isaprimenumber.(True/False)答案：True2.Theareaofacirclewithradius3is9π.(True/False)答案：True3.Arectanglehasallsidesequal.(True/False)答案：False4.Thesumoftwooddnumbersisalwaysanoddnumber.(True/False)答案：False5.12isdivisibleby4.(True/False)答案：True6.Theslopeoftheliney=2x+1is1.(True/False)答案：False7.Acubehas8vertices.(True/False)答案：True8.0isapositivenumber.(True/False)答案：False9.Theperimeterofanequilateraltrianglewithsidelength5is15.(True/False)答案：True10.Theproductoftwonegativenumbersisanegativenumber.(True/False)答案：False四、簡答題（每題5分，共4題）1.Defineaprimenumber.答案：Aprimenumberisanaturalnumbergreaterthan1thathasexactlytwodistinctnaturalnumberdivisors:1anditself.2.Whatistheformulaforthecircumferenceofacircle?答案：TheformulaforthecircumferenceofacircleisC=2πrorC=πd,whereristheradiusanddisthediameter.3.Howdoyoufindtheareaofarectangle?答案：Theareaofarectangleisfoundbymultiplyingitslengthandwidth,i.e.,A=l×w.4.Explainwhatalinearequationis.答案：Alinearequationisanalgebraicequationinwhicheachtermiseitheraconstantortheproductofaconstantandasinglevariableraisedtothefirstpower.五、討論題（每題5分，共4題）1.Whyis1notconsideredaprimenumber?答案：1isnotconsideredaprimenumberbecauseaprimenumberisdefinedasanumbergreaterthan1withexactlytwodistinctpositivedivisors.1onlyhasonepositivedivisor(1itself).2.DiscusstheimportanceofthePythagoreantheorem.答案：ThePythagoreantheoremisimportantasitrelatesthesidesofarighttriangle.Itisusedinmanyfieldslikearchitecture,engineeringforcalculatingdistances,lengthsandheights.3.Explainhowtosolveasystemoflinearequations.答案：Onecansolveasystemoflinearequationsbymethodslikesubstitution,eliminationorusingmatrices.Substitutioninvolvesexpressingonevariableintermsofothersandsubstitutingintoanotherequation.4.Whataretheadvantages