GMAT 数学.doc

文字题1. In a mayoral election, Candidate X received 1/3 more votes than candidate Y, and Candidate Y received 1/4 fewer votes than Z. If Z received 24,000 votes how many votes did candidate X received?A 18000 B 22000 C 24000 D 26000 E 32000比较时,和后面的被比较者比. 比如说 X-Y / Y = 24000-18000 / 18000 = 1/3Z-Y / Z = 24000 18000 / 24000 = 选C2. Larry saves x dollars per month. Will Larrys total savings one year from now exceed his present savings by at least $500? (Assume that there is no interest.) A In 6 months Larrys total savings will be $900. B In 3 months Larrys total savings will exceed his present savings by $150.要考虑到一些题目中未给出的信息，比如可能Larry本身就有存款. 选B还有的考题涉及到价格，成本，要考虑到卖家是否按原价出售3. A total of 774 doctorates in mathematics were granted to United States citizens by American universities in the 1972-1973 school year, and W of these doctorates were granted to women. the total for such doctorates in mathematics in the 1986-1987 school year was 362, and w of these were granted to women. if the number of doctorates in mathematics granted to female citizens of the united states by American universities decreased form the 1972-1972 school year to 1986-1987 school year, was the decrease less than 10 percent?1) 1/10W/7740 开口向上a0 开口向下1. In the figure attached, line AC represents a seesaw that is touching level ground at point A. If B is the midpoint of AC, how far above the ground is point C?(1) x = 30(2) Point B is 5 feet above the ground.相似三角形得知(2)足可知C=10代数题等差数列求和公式Sn=n(a1+an)/2等比数列求和公式Sn=a1(1-qn)/(1-q)而根号ab,称为几何平均数a2 b2 = (a+b)(a-b)a3 b3 = (a-b)(a2+ab+b2)a3 + b3 =(a+b)(a2-ab+b2)a2+2ab+b2 = (a+b)2a2-2ab+b2 = (a-b)2a3+3a2b+3ab2 = (a+b)3a3-3a2b+3ab2 = (a-b)3a2+B2+c2+2ab+2ac+2bc = (a+b+c)2算数题 1. Pat will walk from intersection X to intersection Y along a route that is confined to the square grid of four streets and three avenues shown in the map above. How many routes from X to Y can Pat take that have the minimum possible length? A) 6 B) 8 C) 10 D) 14 E) 16 答案是C 10, Pat依次经过AB123街，A在B前，123按顺序2. How many integers n are there such that r n s? (1) s - r = 5 (2) r and s are not integers.C当s和r是整数时有4个，小数时是5个 所以C2. A certain packing crate contains between 50 and 60 books. How many books are there in the packing crate?(1) If the books are counted out by three, there will be one book left over(2) If the bo