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1、Format of GMAT,30 mins,1,30 mins,12,75 mins,37,75 mins,41,Verbal,Quantitative,Intergreted Reasoning,Analytical Writing,GMAT,GMAT数学题型介绍,75min 37QsProblem solving 21-22 QsData sufficiency 16-17 Qs,Contents,Arithmetic 算术Algebra 代数Geometry 几何Probability and Statistics 概率与统计Word Problems 实用问题,Arithmetic
2、算术,一、基本数论和运算二、分数（小数，百分数）相关问题三、集合相关问题四、幂次运算,Arithmetic,一 整数相关问题重点词汇IntegerOdd numberEven numberPrime number 质数Positive numberNegative numberMultipleFactor/divisor,RemainderConsecutive integersA plus B/the sum of A and BA minus B/the difference of A and BA multiplied by B/the product of A and BA divid
3、ed by B/the quotient of A and B,Addition Positive+Positive=PositiveNegative+Negative=NegativeNegative+Positive=either positive or negative Multiplication and divisionPositive x Positive=PositiveNegative x Negative=PositiveNegative x Positive=Negative,consecutive integers x,x+1,x+2,Consecutive even i
4、ntegersConsecutive odd integersE.g.:find two consecutive integers whose sum is 71.,the rules of divisibility,1.Numbers divisible by 2 end in even numbers.2.Numbers divisible by 3 can be determined by adding the sum of their digits and checking if that number is divisible by 3(for example the number
5、123:1+2+3=6,6 is divisible by 3 with no remainder).3.The number a（10）is divisible by both x（5）and y（2）.a can be divided by both of these integers without leaving a remainder.,4.Numbers divisible by 4 can be identified if their last two digits will divide by 4 without a remainder(for example,the numb
6、er 624:the last two digits are 24,which are divisible by 4 with no remainder).5.Numbers divisible by 9 occur when the sum of its their digits are divisible by 9(for example,the number 639:6+3+9=18,which is divisible by 9).6.A number is only divisible by 10 if it ends in 0.Numbers divisible by 5 end
7、only in 5 or 0.,EG:If x is an even integer,which of the following is an odd integer?A 3x+2B 7xC 8x+5D x2E x3,EG:Three consecutive integers are listed in increasing order.If their sum is 102,what is the second integer is the list?A 28 B 29 C 33 D 34 E 35,Arithmetic 算术,二 分数相关问题重点词汇Fraction 分数Numerator
8、 分子Denominator 分母Proper fraction 真分数（分子比分母小）Improper fraction 假分数 可约分数Ratio 比例(the ratio of A to B=A/B)unit digit 个位数 decimal digit 十位数,Arithmetic 算术,a half/one halfThree fifthPlus three and a halfFour point three two,EG:In the correctly worked out addition problem at the right,each letter represent
9、s a different digit.What is the value of C?(A)5(B)6(C)7（D)8(E)9,EG:The organizer of a fair projected a 25%increase in attendance this year over that of last year,but attendance this year actually decreased by 20%.What percent of the projected attendance was the actual attendance?(A)45%(B)56%(C)64%（D
10、)75%(E)80%,Arithmetic 算术,三 集合相关问题重点词汇Set 集合ElementUnionIntersectionSubset 子集,EG:Each of the 25 people is enrolled in history,math,or both.If 20 are enrolled in history and 18 are enrolled in math,how many are enrolled in both history and math?solution:(20-n)+n+(18-n)=25 n=13,Arithmetic 算术,四.幂运算幂运算相关
11、公式,Arithmetic 算术,EG:1020=10100/10nWhat is the value of n?A 5 B 10 C 20 D 80 E 100,Algebra 代数,一 代数式与方程二 函数三 数列,Algebra 代数,EG:If x/3=x2,the value of x can be which of the following?I-1/3 II 0 III 1/3A I only B II only C III onlyD II and III only E I,II and III,Algebra 代数,二 函数重点词汇Function 函数Domain 域Ran
12、ge Linear funcions 线性函数Quadratic funcions 二次函数,Algebra 代数,函数的定义域一次函数与二次函数,Algebra 代数,EG:For all real numbers v,the operation v+is defined by the equation v+=v-v/3.If（v+）+=8,then v=A 15 B 18 C 21 D 24 E 27,Algebra 代数,三 数列等差数列等比数列,EG：List S consists of 10 consecutive odd integers,and list T consists o
13、f 5 consecutive even integers.If the least integer in S is 7 more than the least integer in T,how much greater is the average(arithmetic mean)of the integer in S than the average of the integers in T?(A)2(B)7(C)8(D)12(E)22,Geometry 几何,一 平面几何二 立体几何三 坐标几何,Geometry 几何,一 平面几何重点词汇 Perpendicular 垂直 Rectan
14、gles 矩形Rhombus 菱形Parallel SquareTrapezoids 梯形 Triangles,Geometry 几何,Altitude 高度AreaPerimeters 周长Isosceles triangles 等腰三角形Right triangles 直角三角形CirclesDiameter 直径Radius 半径,Geometry 几何,直角三角形相关公式四边形的性质圆的相关公式,四边形的性质,Geometry 几何,二 立体几何重点词汇Rectangular solid 长方体Cube 立方体Pyramid 椎体Cylinders 圆柱体Balls/SphereVol
15、ume 体积Vertice 顶点,柱体的相关公式,圆柱表面积：A=L*H+2*S体积 V=S*HL:底面周长 H：柱高 S：底面面积,球体的相关公式,球体表面积：A=4R2体积 V=4/3*R3R：球体半径,Geometry 几何,直线方程的相关公式两点间的距离公式中点公式圆方程的相关公式,Probability and Statistics 概率与统计,一 概率二 统计,Probability and Statistics 概率与统计,一 概率排列组合的相关公式概率的相关公式,Probability and Statistics 概率与统计,例 The buyer of a certain
16、mechanical toy must choose 2 of 4 optional motions and 4 of 5 optional accessories.How many different combinations of motions and accessories are available to the buyer?A 8 B 11 C 15 D 20 E 30,Probability and Statistics 概率与统计,例 Nine pieces of paper numbered consecutively from 1 to 9 are put into a h
17、at.If one piece of paper is drawn at random from the hat,what is the probability that it will have an even number?A 1/9 B 2/9 C 4/9 D E 5/9,Probability and Statistics 概率与统计,二 统计重点词汇Mean/averageMedian 中位数（even：中间两个数的平均值；odd：中间的数）Mode 众数RangeDeviation 偏差,Probability and Statistics 概率与统计,EG：The median
18、of 17/24,1/2,3/8,3/4 and 9/16 would be?(A)17/24(B)1/2(C)3/8(D)3/4(E)9/16,Probability and Statistics 概率与统计,EG：For the positive numbers n,n+1,n+2,n+4 and n+8,the mean is how much greater than the median?A 0 B 1 C n+1 D n+2 E n+3,Word Problems 实用问题,Data Sufficiency,(A)Statement(1)ALONE is sufficient,bu
19、t statement(2)alone is not sufficient to answer the question asked.(B)Statement(2)ALONE is sufficient,but statement(1)alone is not sufficient to answer the question asked.(C)BOTH statements(1)and(2)TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient.(D)EACH
20、 statement ALONE is sufficient to answer the question asked.(E)Statement(1)and(2)TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.,Data Sufficiency,解题思路A（1）（2）B（1）（2）C（1）（2）（1）+（2）D（1）（2）E（1）（2）（1）（2）,数据充分型,例 How old is Jim?(1)Eight years ago Jim was half as ol
21、d as he is now.(2)Four years from now Jim will be twice as old as he was six years ago.,数据充分型,例 If x and y are positive integers and x is a multiple of y,is y=2?(1)y1(2)x+2 is a multiple of y.,数据充分型,例 Pam and Ed are in a line to purchase tickets.How many people are in the line?(1)There are 20 people behind Pam and 20 people in front of Ed.(2)There are 5 people between Pam and Ed.,
