讲义文稿分析gmat mathfinal part2ext

ArithmeticInanincreasingsequenceof10consecutiveintegers,thesumofthefirst5integersis560.Whatisthesumofthelast5integersinthesequence?(OG13,90)(A)585(B)580(C)575(D)570(E)Arithmetic7、consecutivenumbersIfnisanintegergreaterthan6,whichofthefollowingmustbedivisibleby3?(OG13,87)n(n+1)(n-n(n+2)(n-n(n+4)(n-nArithmeticArithmeticArithmetic Whenpositiveintegerxisdividedbypositiveintegery,theremainderis9.Ifx/y=96.12,whatisthevalueofy?(OG13,95)(A)96(B)75(C)48(D)25(E)ArithmeticIfsandtarepositiveintegerssuchthats/twhichofthefollowingcouldbetheremainderwhensisdividedbyt?(OG13,13,p22)248Algebrax1,2

-bb2b2-Algebra Algebra a2x2+b2x+a3y2+b3y=c2am×an=aam/an=a(m-AlgebraAlgebraAlgebra5、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-Algebra1,2,4,8,16,32,64…,an=2n-1-1-Sn=a1 ，q11-

S=

例：1+1+1

+2n=?例：0.373737…=?(将其转换成一个分数)Algebra

公共5音乐

体育18AlgebraAmarketingfirmdeterminedthat,of200householdssurveyed,80usedneitherBrandAnorBrandBsoap,60usedonlyBrandAsoap,andforeveryhouseholdthatusedbothbrandsofsoap,3usedonlyBrandBsoap.Howmanyofthe200householdssurveyedusedbothbrandsofsoap?(OG13,P21,6)(A) Algebra Geometry Pythagoreantheorem(3,4,5;6,8,10;9,12,15)GeometryLengthofsides,anglemeasures,areaofatriangle,Isoscelestriangles, ltrianglesInthefigurebelow,ifz=50,thenx+y=?(OG13,(C)(E)

(D)Geometry rectangle(矩形面积=a×h周长square(正方形):面积 ;周长trapezoid(梯形面积Geometry4、Circle *周长GeometryGeometry*体积Geometry①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,-Geometry直线的标准方程：y=kx+b；即斜截式，其中k为斜*圆的标准方程：(x-a)2+(y-b)2Geometry—9、CoordinateGeometryGeometry—9、CoordinateGeometryStatisticsnnE=n

aii=1Themedianisthemiddlevalueofalistwhenthenumbersareinorder.例如：3,2,4,5,1排序为：1,2,34Statistics例如：3,2,4,5,6,1排序为：1,23,45Themodeofalistofnumbersisthenumberthatoccursmostfrequentlyinthelist.例如：3,2,4,5,5,2,4,5,1众数为Statistics期望就是算术平均值。如32451的期望为 例如：3,2,4,5,1D=

-E

ini

+(-1)+1+2+(-2)Statisticss=例如：3,3,3,3,3方差？标准差？例如：3,2,4,5,1范围？Statistics例：150200250Whichofthefollowingcouldbethemedianofthe4integerslistedabove?Ⅰ. Ⅱ.Ⅰand(E)Ⅰ,Ⅱ,and

Ⅲ.ⅡandⅢStatistics例：Theleastandgreatestnumbersinalistofrealnumbersare2and20,respectively.Themedianofthelistis6,andthenumber3occursmostofteninthelist.Whichofthefollowingcouldbetheaverageofthenumbersinthelist?Ⅰ. Ⅱ.(A)(C)ⅠandⅢ(E)Ⅰ,Ⅱ,and

Ⅲ.(B)(D)ⅡandⅢPermutationcombinationandprobability Pn=m!/(m- C*mn=m!/(m-C*mCmmCmm Cn =Cm

=Pn/Permutationcombinationandprobability加法原理某件事由两种方法来完成，第法可由m种方法完成，第二种方法可由n种方法完成，则这件事可由m+n种成，第二个步骤可由n种方法完成，则这件事可由mxn种方法来 Permutationcombinationandprobability排 Permutationcombinationandprobability

Permutationcombinationandprobability

Permutationcombinationandprobability …

P10 /10P10Permutationcombinationandprobability 彼此隔开；

Permutationcombinationandprobability市（、，、重庆）可以选择，共有多少PermutationcombinationandprobabilityIntheinteger3,589thedigitsarealldifferentandincreasefromlefttoright.Howmanyintegersbetween4,000and5,000havedigitsthatarealldifferentandthatincreasefromlefttoright?Permutationcombination,andprobability2、Probability:PatwillwalkfromIntersectionXtoIntersectionYalongaroutethatisconfinedtothesquaregridoffourstreetsandthreeavenuesshowninthemapabove.HowmanyroutesfromXtoYcanPattakethathavetheminimumpossiblelength?WordProblemsRateRatexTime=Ona400- trip,CarXtraveledhalfthedistanceat40 perhour(mph)andtheotherhalfat50mph.WhatwastheaveragespeedofCarX?(OG13,P140) WordProblems ：1/x+1/y=IfArtandRitacandoajobin4hourswhenworkingtogetherattheirrespectiveconstantratesandArtcandothejobalonein6hours,inhowmanyhourscanRitadothejobalone?(OG13,P141)1/6+1/y=WordProblemsAtaloadingdock,eachworkeronthenightcrewloaded¾asmanyboxesaseachworkeronthedaycrew.Ifthenightcrewhas4/5asmanyworkersasthedaycrew,whatfractionofalltheboxesloadedbythetwocrewsdidthedaycrewload?(OG13151)(A) (B)2/5(C)3/5(D)4/5(E)whatfractionofalltheboxesloadedbythetwocrewsdidthedaycrewloadWordProblemsWaterispumpedintoapartiallyfilled ataconstantratethroughaninletpipe.Atthesametime,waterispumpedoutofthe ataconstantratethroughanoutletpipe.Atwhatrate,ingallonsperminute,istheamountofwaterinthe increasing?(OG13,12)WordProblems题型1:提供混合前各种物质的数量与单价， SeedmixtureXis40percentryegrassand60percentbluegrassbyweight;seedmixtureYis25percentryegrassand75percentfescue.IfamixtureofXandYcontains30percentryegrass,whatpercentoftheweightofthemixtureisX?(OG13,224)(C)(E)

(B)(D)WordProblemscompoundinterest,interestrate,profit2、基本性质：sellingpricecostgain/lossDiscount=costxdiscountrateCompoundinterest=P(1+r)nWordProblemsWordProblemsForwhichtypeofinvestment,JorK,istheannualrateofreturngreater?(OG13,8)TypeJreturns$115per$1,000investedforanyone-yearperiodandtypeKreturns$300per$2,500investedforanyone-yearTheannualrateofreturnforaninvestmentoftypeKis12WordProblemsInvestmentProblem4月15WordProblemsWordProblemsVenn Inacertainproductionlot,40percentofthetoysareredandtheremainingtoysaregreen.Halfofthetoysaresmallandhalfarelarge.If10percentofthetoysareredandsmall,and40toysaregreenandlarge,howmanyofthetoysareredandlarge.(OG13,P144)WordProblemsAtraintravelsataconstantrateof25meterspersecond.Howmanykilometersdoesittravelin5minutes?(lkilometer=1,000meters)(OG13,P145)1yard=3feet,1foot=12WordProblemsAge Jackisnow14yearsolderthanBill.Ifin10yearsJackwillbetwiceasoldasBill,howoldwillJackbein(A)(C)(E)

(B)(D)150iswhatpercentof30?(OG13P154

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

(B)

/3/3 /3。3、臆HowmanyminuteslongistimeperiodTimeperiodMis4hour-TimeperiodMstartsfromat9a.m.andendsat1慢、回读、反复读这些现象大大影响了做题速InTownshipK,1/5ofthehousingunitsareequippedwithcableevision.If1/10ofthehousingunits,including1/3ofthosethatareequippedwithcableevision,areequippedwithcassetterecorders,whatfractionofthehousingunitshaveneithercableevisionnorcassetterecorders?

(D)Asetofnumbershasthepropertythatforanynumbertintheset,t+2isintheset.If-1isintheset,whichofthefollowingmustalsobeintheset? II. III.IIIIandIIIIandIIII,II,and另外一个常考的就是kmmcm1feet=12 ProblemSolving—问题求解Directions:Solvetheproblemandchoosetheletterindicatingthebestanswerchoice.Thenumbersusedinthissectionarerealnumbers.Thefiguresusedaredrawntoscaleandlieinaneunlessotherwisenoted.2、Problemsolving解题策略 1Data