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GMATGMAT数学Arithmetic7、consecutivenumbersInanincreasingsequenceof10consecutiveintegers,thesumofthefirst5integersis560.Whatisthesumofthelast5integersinthesequence?(OG13,90)(A)585(B)580(C)575(D)570(E)GMAT数学Arithmetic算7、consecutivenumbers连续Ifnisanintegergreaterthan6,whichofthefollowingmustbedivisibleby3?(OG13,87)n(n+1)(n-n(n+2)(n-n(n+3)(n-n(n+4)(n-n(n+5)(n-n-n-n-n-n-n-nGMAT数学Arithmetic8、divisibility&remainder一个数是否能够被8整除，只要看它的后三位（是否8的倍数）比如：98765432164能否被8整除GMAT数学Arithmetic8、divisibility&remainder*一个数是否能够被5整除，只要看它的最后一位（是0GMAT数学Arithmetic8、divisibility&remainder整除及余数问题 Whenpositiveintegerxisdividedbypositiveintegery,theremainderis9.Ifx/y=96.12,whatisthevalueofy?(OG13,95)(A)96(B)75(C)48(D)25(E)GMAT数学ArithmeticIfsandtarepositiveintegerssuchthats/twhichofthefollowingcouldbetheremainderwhensisdividedbyt?(OG13,13,p22)248GMAT数学b2b2x1,2

bGMAT数学GMAT数学2、Simultaneouslinearequations:多元一次方程组例 (1)－(2消去y得GMAT数学2、Simultaneouslinearequations:GMAT数学 a2x2+b2x+a3y2+b3y=c2am×an=aam/an=a(m-GMAT数学分4、InequalitiesGMAT数学4、InequalitiesGMAT数学5、Arithmeticsequence等差数列1,3,5,7,9,11,13,15… sn=(a1+an)n/2=2a1+n(n-1)d/2IfthesequenceShas300terms,whatisthe293rd termofS?(OG13,24)The298thtermofSis-616,andeachtermofSafterthefirstis2lessthantheprecedingterm.ThefirsttermofSis-GMAT数学5、ArithmeticsequenceGMAT数学6、Geometricsequence1,2,4,8,16,32,64…,an=2n-Sna1

S

例：111...1? 例：0.373737…=?(将其转换成一个分数)GMAT数学7、Sets例：全班50个人，选音乐课的有20人，选体育课的18人，两课都选的有5人，问两课都没选的几人音乐20体育18音乐20体育1850-20-

GMAT数学7、SetsAmarketingfirmdeterminedthat,of200householdssurveyed,80usedneitherBrandAnorBrandBsoap,60usedonlyBrandAsoap,andforeveryhouseholdthatusedbothbrandsofsoap,3usedonlyBrandBsoap.Howmanyofthe200householdssurveyedusedbothbrandsofsoap?(OG13,P21,6)(A) GMAT数学7、Sets集合（集合与排列组合的混合题P5P4P4P3 GMAT数学1、Lines&planesPythagoreantheoremGMAT数学Lengthofsides,anglemeasures,areaofatriangle,IsoscelesequilateralInthefigurebelow,ifz=50,thenx+y=?(OG13,(A)(C)(E)

(B)GMAT数学parallelogram(平行四边形面积=a×h周长rectangle(矩形面积=a×h周长square(正方形):面积 ;周长trapezoid(梯形面积GMAT数学分4、Circle面积 *周长5、Polygons多边多边形内角和：(n-因为多边形都能够分解为(n-2)个三角形，如上列OG13,GMAT数学6、RectangularSolids体积表面积GMAT数学7、Cubes体积*体积表面积GMAT数学9、CoordinateGeometry①坐标(a,b)关于y=x的对称点为②坐标(a,b)关于y=-x的对称点为(-b,-GMAT数学9、CoordinateGeometry直线的标准方程：y=kx+b；即斜截式，其中k为斜斜率的计算：K(Y2-Y1X2-两直线垂直，其斜率的乘积为－1*圆的标准方程：(x-a)2+(y-b)2GMAT数学Geometry9、CoordinateGeometryGMAT数学Geometry9、CoordinateGeometryGMAT数学1、arithmeticmeanaverageEn

aini1n2、medianThemedianisthemiddlevalueofalistwhenthenumbersareinorder.例如：3,2,4,5,1排序为：1,2,34,GMAT数学2、median例如：3,2,4,5,6,1排序为：1,2,3,45,3、modeThemodeofalistofnumbersisthenumberthatoccursmostfrequentlyinthelist.例如：3,2,4,5,5,2,4,5,1众数为GMAT数学期望就是算术平均值。如32451的期望为例如：3,2,4,5,1，偏差分别为0,-1,1,2,-6、variancen D1aE

例如：3,2,4,5,1GMAT数学7、standarddeviation 例如：3,3,3,3,3方差？标准差？8、range例如：3,2,4,5,1范围？GMAT数学9、Normaldistribution。GMAT数学9NormaldistributionGMAT数学例：150200250Whichofthefollowingcouldbethemedianofthe4integerslistedabove?Ⅰ. Ⅱ.Ⅰand(E)Ⅰ,Ⅱ,and

Ⅲ.ⅡandⅢGMAT数学GMAT数学例：Theleastandgreatestnumbersinalistofrealnumbersare2and20,respectively.Themedianofthelistis6,andthenumber3occursmostofteninthelist.Whichofthefollowingcouldbetheaverageofthenumbersinthelist?Ⅱ.(C)ⅠandⅢ(E)Ⅰ,Ⅱ,and

Ⅲ.(D)ⅡandⅢGMAT数学 1、Permutation&combination: Pnm!/(m C*mnm!/(mC*mCmmCmm Cn Cm

Pn/GMAT数学 1、Permutation&combination:GMAT数学分Permutation,combination,andprobability—排列组合与概2）乘法原GMAT数学 中取球两次次一只，取出后不再放回。求：①两只球都是白色的概率；②两只球颜色不同的概率③至少有一只白球的概率GMAT数学 求：①两只球都是白色的概率

②两只球颜色不同的概率：要么先

从1中减去两个都是白色，再减去两个都是红 1-C2/C2 ③至少有一只白球的概率。要么两个白色，要么一白一C2/C2C1C1 从1中减去两个都是红色的概

1-C2GMAT数学 类 彼此隔开；插空类

GMAT数学 Intheinteger3,589thedigitsarealldifferentandincreasefromlefttoright.Howmanyintegersbetween4,000and5,000havedigitsthatarealldifferentandthatincreasefromlefttoright?GMAT数学Permutation,combination,andprobability—排列组合与概2、Probability:概PatwillwalkfromIntersectionXtoIntersectionYalongaroutethatisconfinedtothesquaregridoffourstreetsandthreeavenuesshowninthemapabove.HowmanyroutesfromXtoYcanPattakethathavetheminimumpossiblelength?GMAT数学RateRatexTime=GMAT数学Work基本公式：1/x+1/yIfArtandRitacandoajobin4hourswhenworkingtogetherattheirrespectiveconstantratesandArtcandothejobalonein6hours,inhowmanyhourscanRitadothejobalone?(OG13,P141)1/6+1/y=GMAT数学WorkAtaloadingdock,eachworkeronthenightcrewloaded¾asmanyboxesaseachworkeronthedaycrew.Ifthenightcrewhas4/5asmanyworkersasthedaycrew,whatfractionofalltheboxesloadedbythetwocrewsdidthedaycrewload?(OG13151)(A) (B)2/5(C)3/5(D)4/5(E)whatfractionofalltheboxesloadedbythetwocrewsdidthedaycrewloadGMAT数学Mixture题型1:提供混合前各种物质的数量与单价， 题型 液体混合后的浓度计算，解决的关键是抓住混和前的不变SeedmixtureXis40percentryegrassand60percentbluegrassbyweight;seedmixtureYis25percentryegrassand75percentfescue.IfamixtureofXandYcontains30percentryegrass,whatpercentoftheweightofthemixtureisX?(OG13,224)(C)(E)

(D)GMAT数学1、基本概念：discountinterest,simpleinterest,compoundinterest,interestrate,profit2、基本性质：sellingprice=costgain/lossDiscount=costxdiscountrateSimpleinterest=principalxinterestratextimeCompoundinterest=P(1r)nGMAT数学GMAT数学分WordProblemsInvestmentProblem4月154月305月155月316月156月30GMAT数学Exercise:(OG13,GMAT数学MeasureproblemAtraintravelsataconstantrateof25meterspersecond.Howmanykilometersdoesittravelin5minutes?(lkilometer=1,000meters)(OG13,P145)1yard=3feet,1foot=12三、GMATAge Jackisnow14yearsolderthanBill.Ifin10yearsJackwillbetwiceasoldasBill,howoldwillJackbein5years?(OG13,(A)(C)(E)

(B)(D)GMAT数学150iswhatpercentof30?(OG13P154

(B)(D)GMAT数学GMAT数学GMAT数学Apositivenumberxismultipliedby2,andthisproductisthendividedby3.Ifthepositivesquarerootoftheresultofthesetwooperationsequalsx,whatisthevalueofx(C)(E)

(B)

/3/3/3GMAT数学 。GMAT数学 HowmanyminuteslongistimeperiodTimeperiodMis4hour-TimeperiodMstartsfromat9a.m.andendsat1 GMAT数学Asetofnumbershasthepropertythatforanynumbertintheset,t+2isintheset.If-1isintheset,whichofthefollowingmustalsobeintheset? - II. III.IIIIandIIIIandIIII,II,andGMAT数学6、单位换最常考到的就是hourminutesecond另外一个常考的就是kmmcm1feet=127、考点遗GMAT数学 ProblemSolving—问题求解Directions:Solvetheproblemandchoosetheletterindicatingthebestanswerchoice.Thenumbersusedinthissectionarerealnumbers.Thefiguresusedaredrawntoscaleandlieinaplaneunlessotherwisenoted.仅 GMAT数学2、Problemsolving解题策略GMAT数学 1DataSufficiency题型介绍Eachdatasufficiencyproblemconsistsofaquesti