GRE 数学满分攻略

GRE数学满分攻略长沙新东方学校1.GRE数学考试形式：2sections(不考虑加试)35minutesforeachsection20questionsforeachsection分数区间:130—170题型数值比较大小单选多选计算填空题量8642选项设置4选15选14或更多选2或更多无选项2.GRE数学题型及分布QuantitativeComparisonQuestions比较大小题•ColumnAColumnBXZ,YZX+YZ(A)QuantityAisgreater.(B)QuantityBisgreater.(C)Thetwoquantitiesareequal.(D)Therelationshipcannotbedeterminedfromtheinformationgiven.Multiple-choiceQuestions—单选题Thefractionscanbewrittenasdecimalsasshownabove,whereNandPrepresentdifferentdigits.WhichofthefollowingisequaltoifSequalsNtimesPandSisadigit?0.0000S0.000S0.00S0.0S0.S1=0.0Nx1=0.00Py1xyABCDEMultiple-choiceQuestions多项选择题（3~12个选项）•Whichtwoofthefollowingnumbershaveaproductthatisgreaterthan60?-9-768ABCDNumericEntryQuestions-填空题1.Amerchantmadeaprofitof＄5onthesaleofacoatthatcostthemerchant＄15.Whatistheprofitexpressedasapercentofthemerchant’scost?Giveyouranswertothenearestwholepercent.％2.RectangleRhaslength30andwidth10,andsquareShaslength5.TheperimeterofSiswhatfractionoftheperimeterofR?•英文理解能力差-专业词汇-数学表达Vertex(pl.vertices)Quadrilateral/Pentagon/Hexagon/Heptagon/Octagon/Nonagon/DecagonTheratioofAtoBAistwiceasmuchasB/ThereistwiceasmuchAasB4.常见错误Onacertainnumberline,if-7isadistance4fromnand7isadistanceof18fromn,thenn=?•思维不严谨-TheprobabilityoftheoccurrenceofmatterAis0.6whilethatofmatterBis0.7,what‘stheprobabilityofthecoincidenceofAandB?-小于100的整数中有多少可被6整除?•计算错误课程结构ArithmeticDataanalysisAlgebraGeometryArithmetic•Integers,wholenumber•Positive/negative•Amultipleof•Eveninteger=integersthataremultiplesof2•Oddinteger•Consecutiveintegers•composite•Prime•digitpositive•integernegative•oddevenfactor•primedecimal•fractiondivisible•multiplesuccessiveconsecutive常见数学表达intermsofX:用X表示theratioofatob：a：bTwiceasmanyAasB:A=2B运算中“is”代表“等于”，“of”代表“乘以”2/3of1/2ofwhatnumberis4?•OddandEven(奇偶性)•（1）n为整数，则2n为偶数，2n+1为奇数•（2）奇数个奇数相加减，结果为奇数•（3）偶数个奇数相加减，结果为偶数•（4）奇数和偶数相加减，结果为奇数•（5）任意多个偶数相加减，结果为偶数•求最小公倍数和最大公约数：分解质因数•会表示连续的整数，奇数，偶数连续的整数：a，a+1，a+2….连续的奇数：2a+1，2a+3，2a+5….连续的偶数：2a，2a+2，2a+436222,39022,3,5GCD,最大取最小LCM,最小取最大2231822235180•整除特性：能被2整除的数：末位是0，2，4，6，8的能被3整除的数：各位数字和能被3整除能被4整除的数：末尾的两位数能被4整除：232能被5整除的数：末位是0或5能被6整除的数：能被2和3整除的能被8整除的数：末尾的三位数能被8整除:1264能被9整除的数：各位数字和能被9整除能被11整除的数：奇数位的和=偶数位的和•Eachofthefollowingnumbershastwodigitsblottedout.Whichofthenumbercouldbethenumbersofhoursinxdays,wherexisaninteger?•A.23■,■06•B.50■,■26•C.56■,■02•D.62■,■50•E.65■,■20自然数n次幂的尾数特征•尾数为2的数的幂的个位数以2，4，6，8循环•尾数为3的数的幂的个位数以3，9，7，1循环•尾数为4的数的幂的个位数以4，6循环•尾数为7的数的幂的个位数以7，9，3，1循环•尾数为8的数的幂的个位数以8，4，2，6循环•尾数为9的数的幂的个位数以9，1循环ArithmeticIfnisanoddinteger,thenn2-1mustbe(A)aprimenumber(B)anoddinteger(C)divisibleby8(D)amultipleof2n(E)apositiveinteger设n=2k+1则n2-1=4k*（k+1）k&k+1是一对连续数，一定是2的倍数Ifyisthesmallestpositiveintegersuchthat3,150multipliedbyyisthesquareofaninteger,thenymustbe2231503527Arithmetic14Howmanyfactorsdoes360have?(A)24(B)36(C)48(D)120(E)360(1)(1)(z1)xyzabcxy因子数公式32360235Arithmetic10000a+1000b+100c+10d+e10000e+1000d+100c+10b+a9999a+990b-990d-9999eIfMistheleastcommonmultipleof90,196,and300,whichofthefollowingisNOTafactorofM?(A)600(B)700(C)900(D)2,100(E)4,9002222290235196273002352222(90,196,300)2357LCMArithmetic221002,5),3,3,7,7去掉（则剩下6,7,9,21,49选项分别为LetSbethesetofallpositiveintegersnsuchthatn2isamultipleofboth24and108.WhichofthefollowingintegersaredivisorsofeveryintegerninS?Indicateallsuchintegers.A12B24C36D7232324=23108=23244n=2322n=23Answer:A,CWhatistheleastpositiveintegerthatisnotafactorof25!andisnotaprimenumber?A26B28C36D56E5826=13228=14236=18256=282=144余数牢记：，表示y除以x，商是k，余数是b.ArithmeticremainderArithmeticn=7*a+3n为偶数a是奇数a=2b+1其中b为任意整数n=7*(2b+1)+3=14*b+102.The19thofSeptember1987wasaSaturday.If1988wasaleap-year,whatdayoftheweekwasthe21stofSeptember1990?A.MondayB.TuesdayC.WednesdayD.ThursdayE.Friday1987.9.19Saturday1990.9.21?19-----21：2days365/7余1,366/7余2ordinaryyear:365Leapyear:3666daysshiftArithmetic1987----1990：87-882days88-891day89-901day3.Ifsandtarepositiveintegerssuchthats/t=64.12,whichofthefollowingcouldbetheremainderwhensisdividedbyt?(A)2(B)4(C)8(D)20(E)45ArithmeticFraction&Decimalproperfractionimproperfractionmixednumbercommon/vulgarfractionsimplefractioncomplexfractionnumeratordenominator真分数假分数带分数普通分数简分数繁分数分子分母Arithmetic(least)commondenominatorquarterinfinitedecimalterminatingdecimalrecurringdecimalroundtothenearestdigitalapproximate(最小)公分母四分之一无穷小数有限小数循环小数四舍五入数字近似•识别各位数字名称”7654.321”，其中：“7”:thousands“6”:hundreds“5”:tens“4”:units(orones)“.”:decimalpoint“3”:tenths“2”:hundredths“1”:thousandthsArithmetic当分母只有2,5这样因数的分数为有限小数Arithmetic1899213337196141422772251515335514412123344712864220.16671/60.83335/60.33331/30.22222/90.66672/30.12501/8151663221938=2.5ArithmeticIf1isexpressedasaterminatingdecimal,howmanynonzerodigits1117125willthedecimalhave?AOneBTwoCFourDSixEEleven1117125617171=225171=6410比例,比率及百分比Arithmeticformulanotationproportionaldirectly/inverselyAintermofBandCadditional公式标记法成比例的正/反（比例）A用B和C来表示额外的19881989Mrxx（1-p）%Msyy（1+p）%totalx+yx（1-p）%+y（1+p）%X+Y-X*P%+Y*P%因为XY，所以X*p%Y*P%所以X+YX+Y-X*P%+Y*P%511512182125%4Arithmetic3: