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GMATGMAT數(shù)學(xué)Arithmetic7、consecutivenumbersInanincreasingsequenceof10consecutiveintegers,thesumofthefirst5integersis560.Whatisthesumofthelast5integersinthesequence?(OG13,90)(A)585(B)580(C)575(D)570(E)GMAT數(shù)學(xué)Arithmetic算7、consecutivenumbers連續(xù)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數(shù)學(xué)Arithmetic8、divisibility&remainder一個數(shù)是否能夠被8整除，只要看它的后三位（是否8的倍數(shù)）比如：98765432164能否被8整除GMAT數(shù)學(xué)Arithmetic8、divisibility&remainder*一個數(shù)是否能夠被5整除，只要看它的最后一位（是0GMAT數(shù)學(xué)Arithmetic8、divisibility&remainder整除及余數(shù)問題 Whenpositiveintegerxisdividedbypositiveintegery,theremainderis9.Ifx/y=96.12,whatisthevalueofy?(OG13,95)(A)96(B)75(C)48(D)25(E)GMAT數(shù)學(xué)ArithmeticIfsandtarepositiveintegerssuchthats/twhichofthefollowingcouldbetheremainderwhensisdividedbyt?(OG13,13,p22)248GMAT數(shù)學(xué)b2b2x1,2

bGMAT數(shù)學(xué)GMAT數(shù)學(xué)2、Simultaneouslinearequations:多元一次方程組例 (1)－(2消去y得GMAT數(shù)學(xué)2、Simultaneouslinearequations:GMAT數(shù)學(xué) a2x2+b2x+a3y2+b3y=c2am×an=aam/an=a(m-GMAT數(shù)學(xué)分4、InequalitiesGMAT數(shù)學(xué)4、InequalitiesGMAT數(shù)學(xué)5、Arithmeticsequence等差數(shù)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數(shù)學(xué)5、ArithmeticsequenceGMAT數(shù)學(xué)6、Geometricsequence1,2,4,8,16,32,64…,an=2n-Sna1

S

例：111...1? 例：0.373737…=?(將其轉(zhuǎn)換成一個分?jǐn)?shù))GMAT數(shù)學(xué)7、Sets例：全班50個人，選音樂課的有20人，選體育課的18人，兩課都選的有5人，問兩課都沒選的幾人音樂20體育18音樂20體育1850-20-

GMAT數(shù)學(xué)7、SetsAmarketingfirmdeterminedthat,of200householdssurveyed,80usedneitherBrandAnorBrandBsoap,60usedonlyBrandAsoap,andforeveryhouseholdthatusedbothbrandsofsoap,3usedonlyBrandBsoap.Howmanyofthe200householdssurveyedusedbothbrandsofsoap?(OG13,P21,6)(A) GMAT數(shù)學(xué)7、Sets集合（集合與排列組合的混合題P5P4P4P3 GMAT數(shù)學(xué)1、Lines&planesPythagoreantheoremGMAT數(shù)學(xué)Lengthofsides,anglemeasures,areaofatriangle,IsoscelesequilateralInthefigurebelow,ifz=50,thenx+y=?(OG13,(A)(C)(E)

(B)GMAT數(shù)學(xué)parallelogram(平行四邊形面積=a×h周長rectangle(矩形面積=a×h周長square(正方形):面積 ;周長trapezoid(梯形面積GMAT數(shù)學(xué)分4、Circle面積 *周長5、Polygons多邊多邊形內(nèi)角和：(n-因?yàn)槎噙呅味寄軌蚍纸鉃?n-2)個三角形，如上列OG13,GMAT數(shù)學(xué)6、RectangularSolids體積表面積GMAT數(shù)學(xué)7、Cubes體積*體積表面積GMAT數(shù)學(xué)9、CoordinateGeometry①坐標(biāo)(a,b)關(guān)于y=x的對稱點(diǎn)為②坐標(biāo)(a,b)關(guān)于y=-x的對稱點(diǎn)為(-b,-GMAT數(shù)學(xué)9、CoordinateGeometry直線的標(biāo)準(zhǔn)方程：y=kx+b；即斜截式，其中k為斜斜率的計算：K(Y2-Y1X2-兩直線垂直，其斜率的乘積為－1*圓的標(biāo)準(zhǔn)方程：(x-a)2+(y-b)2GMAT數(shù)學(xué)Geometry9、CoordinateGeometryGMAT數(shù)學(xué)Geometry9、CoordinateGeometryGMAT數(shù)學(xué)1、arithmeticmeanaverageEn

aini1n2、medianThemedianisthemiddlevalueofalistwhenthenumbersareinorder.例如：3,2,4,5,1排序?yàn)椋?,2,34,GMAT數(shù)學(xué)2、median例如：3,2,4,5,6,1排序?yàn)椋?,2,3,45,3、modeThemodeofalistofnumbersisthenumberthatoccursmostfrequentlyinthelist.例如：3,2,4,5,5,2,4,5,1眾數(shù)為GMAT數(shù)學(xué)期望就是算術(shù)平均值。如32451的期望為例如：3,2,4,5,1，偏差分別為0,-1,1,2,-6、variancen D1aE

例如：3,2,4,5,1GMAT數(shù)學(xué)7、standarddeviation 例如：3,3,3,3,3方差？標(biāo)準(zhǔn)差？8、range例如：3,2,4,5,1范圍？GMAT數(shù)學(xué)9、Normaldistribution。GMAT數(shù)學(xué)9NormaldistributionGMAT數(shù)學(xué)例：150200250Whichofthefollowingcouldbethemedianofthe4integerslistedabove?Ⅰ. Ⅱ.Ⅰand(E)Ⅰ,Ⅱ,and

Ⅲ.ⅡandⅢGMAT數(shù)學(xué)GMAT數(shù)學(xué)例：Theleastandgreatestnumbersinalistofrealnumbersare2and20,respectively.Themedianofthelistis6,andthenumber3occursmostofteninthelist.Whichofthefollowingcouldbetheaverageofthenumbersinthelist?Ⅱ.(C)ⅠandⅢ(E)Ⅰ,Ⅱ,and

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

Pn/GMAT數(shù)學(xué) 1、Permutation&combination:GMAT數(shù)學(xué)分Permutation,combination,andprobability—排列組合與概2）乘法原GMAT數(shù)學(xué) 中取球兩次次一只，取出后不再放回。求：①兩只球都是白色的概率；②兩只球顏色不同的概率③至少有一只白球的概率GMAT數(shù)學(xué) 求：①兩只球都是白色的概率

②兩只球顏色不同的概率：要么先

從1中減去兩個都是白色，再減去兩個都是紅 1-C2/C2 ③至少有一只白球的概率。要么兩個白色，要么一白一C2/C2C1C1 從1中減去兩個都是紅色的概

1-C2GMAT數(shù)學(xué) 類 彼此隔開；插空類

GMAT數(shù)學(xué) Intheinteger3,589thedigitsarealldifferentandincreasefromlefttoright.Howmanyintegersbetween4,000and5,000havedigitsthatarealldifferentandthatincreasefromlefttoright?GMAT數(shù)學(xué)Permutation,combination,andprobability—排列組合與概2、Probability:概PatwillwalkfromIntersectionXtoIntersectionYalongaroutethatisconfinedtothesquaregridoffourstreetsandthreeavenuesshowninthemapabove.HowmanyroutesfromXtoYcanPattakethathavetheminimumpossiblelength?GMAT數(shù)學(xué)RateRatexTime=GMAT數(shù)學(xué)Work基本公式：1/x+1/yIfArtandRitacandoajobin4hourswhenworkingtogetherattheirrespectiveconstantratesandArtcandothejobalonein6hours,inhowmanyhourscanRitadothejobalone?(OG13,P141)1/6+1/y=GMAT數(shù)學(xué)WorkAtaloadingdock,eachworkeronthenightcrewloaded?asmanyboxesaseachworkeronthedaycrew.Ifthenightcrewhas4/5asmanyworkersasthedaycrew,whatfractionofalltheboxesloadedbythetwocrewsdidthedaycrewload?(OG13151)(A) (B)2/5(C)3/5(D)4/5(E)whatfractionofalltheboxesloadedbythetwocrewsdidthedaycrewloadGMAT數(shù)學(xué)Mixture題型1:提供混合前各種物質(zhì)的數(shù)量與單價， 題型 液體混合后的濃度計算，解決的關(guān)鍵是抓住混和前的不變SeedmixtureXis40percentryegrassand60percentbluegrassbyweight;seedmixtureYis25percentryegrassand75percentfescue.IfamixtureofXandYcontains30percentryegrass,whatpercentoftheweightofthemixtureisX?(OG13,224)(C)(E)

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

(B)(D)GMAT數(shù)學(xué)150iswhatpercentof30?(OG13P154

(B)(D)GMAT數(shù)學(xué)GMAT數(shù)學(xué)GMAT數(shù)學(xué)Apositivenumberxismultipliedby2,andthisproductisthendividedby3.Ifthepositivesquarerootoftheresultofthesetwooperationsequalsx,whatisthevalueofx(C)(E)

(B)

/3/3/3GMAT數(shù)學(xué) 。GMAT數(shù)學(xué) HowmanyminuteslongistimeperiodTimeperiodMis4hour-TimeperiodMstartsfromat9a.m.andendsat1 GMAT數(shù)學(xué)Asetofnumbershasthepropertythatforanynumbertintheset,t+2isintheset.If-1isintheset,whichofthefollowingmustalsobeintheset? - II. III.IIIIandIIIIandIIII,II,andGMAT數(shù)學(xué)6、單位換最常考到的就是hourminutesecond另外一個?？嫉木褪莐mmcm1feet=127、考點(diǎn)遺GMAT數(shù)學(xué) ProblemSolving—問題求解Directions:Solvetheproblemandchoosetheletterindicatingthebestanswerchoice.Thenumbersusedinthissectionarerealnumbers.Thefiguresusedaredrawntoscaleandlieinaplaneunlessotherwisenoted.僅 GMAT數(shù)學(xué)2、Problemsolving解題策略GMAT數(shù)學(xué) 1DataSufficiency題型介紹Eachdatasufficiencyproblemconsistsofaquesti