2024年3月5日发(作者：)

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 = 1/3

Z-Y / Z = 24000 – 18000 / 24000 = ¼ 选C

2. Larry saves x dollars per month. Will Larry’s total savings one year from now exceed his

present savings by at least $500? (Assume that there is no interest.)

A In 6 months Larry's total savings will be $900.

B In 3 months Larry's 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) 1/10

2) W = w+5

Decrease和前面的比W-w / W, 选C

4. On July 1, 1982, Ms. Fox deposited $10,000 in a new account at the annual interest rate of

12 percent compounded monthly. If no additional deposits or withdrawals were made and if

interest was credited on the last day of each month, what was the amount of money in the

account on September 1, 1982?

A $10,200 B $10,201 C $11,100 D $12,100 E $12,544

做interest rate题有两种，一种是simple interest rate 另一种是compounded interest rate, 而且要注意interest rate的时间长短 $10,000*(1.01)^2=$10201 选 B

5. A family made a down payment of $75 and borrowed the balance on a set of encyclopedias

that cost $400. The balance with interest was paid in 23 monthly payments of $16 each and a

final payment of $9. The amount of interest paid was what percent of the amount borrowed?

A 6% B 12% C 14% D 16% E 20%

解贷款题注意以下概念：down payment首付，贷款=售价-首付，利息=月供*时间-贷款

6. How many minutes long is time period A?

A Time period X is 3 hours

B Time period X starts at 11p.m and ends at 2 a.m

GMAT喜欢考察谈论时间时要注意是否是一天，选A

几何题

三角形面积公式:海伦公式

S=根号下：p(p-a)(p-b)(p-c) 其中p=1/2(a+b+c)

等边三角形面积公式:

S=根号3/4*A^2(其中A为三角形的边长

圆锥体面积公式:

S圆锥体=π*r^2+πrl (l为母线长）

锥体体积公式V=1/3*pi*r2h

球的表面积：4*圆周率*半径的平方

球体体积：4/3*圆周率*半径的立方

抛物线顶点坐标公式

y=ax²+bx+c（a≠0）的顶点坐标公式是（-b/2a，（4ac-b²）/4a)

a>0 开口向上

a<0 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-q^n)/(1-q)

而根号ab,称为几何平均数

a^2 – b^2 = (a+b)(a-b)

a^3 – b^3 = (a-b)(a^2+ab+b^2)

a^3 + b^3 =(a+b)(a^2-ab+b^2)

a^2+2ab+b^2 = (a+b)^2

a^2-2ab+b^2 = (a-b)^2

a^3+3a^2b+3ab^2 = (a+b)^3

a^3-3a^2b+3ab^2 = (a-b)^3

a^2+B^2+c^2+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C

2. 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 books are counted out by sixes, there will be one book left over

由(1)知 3x+1=52,55 and 58 (2)知6x+1=55 所以 B

特别注意如果（2）就可以推出，不要选D