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最新最全GRE数学经典试题解析

由于GRE考试的改革,我们迎来了新GRE数学,而且比之前的GRE数学要难,所以我们要想要在GRE数学考试中获得好成绩,就要更加努力,下面为大家带来了GRE数学考试中经常出现的题目,帮助大家更有效率的备考。

这些都是GRE数学考试中最易出错的新GRE数学难题,大家可以看看能不能对你的GRE考试有所帮助:

1.Each employee of a certain company is ineither Department X or Department Y, and there aremore than twice as many employees in Department Xas in Department Y. The average (arithmetic mean)salary

is $25,000 for the employees in Department X and is$35,000 for the employees in Department Y.Which ofthe following amounts could be the average salaryfor all of the employees in the company?Indicate allsuch amounts.

A $26,000

B $28,000

C $29,000

D $30,000

E $31,000

F $32,000

G $34,000

本题我们要注意到题目中的more than twice的字眼,我们当做twice算的时候,结果是(25000*2+35000)/3约等于28333,因为有more than,所以选的答案要么是比前面这个数大,要么小,又由于more的是X部门的,那么肯定会将平均工资给拉低了,因此,选比前面那个数小的答案,AB都可以了。。

2.Working alone at its constant rate, machine A produces k car parts in 10 minutes.Working alone at its constant rate, machine B produces k car parts in 15 minutes. How manyminutes does it take machines A and B, working simultaneously at their respective constantrates, to produce k car parts?____________minutes

这类题目小学时候经常遇到,相信很多人都是这种感受哈

1/(1/10+1/15)=6min 1)If the dollar amount of sales at Store P was $800,000 for 2006, what was

the dollar amount of sales at that store for 2008 ?

A $727,200

B $792,000

C $800,000

D $880,000

E $968,000

直接算,800000*(1+10%)*(1-10%)=792000,即B

2)At Store T, the dollar amount of sales for 2007 was what percent of the

dollar amount of sales for 2008 ?

Give your answer to the nearest 0.1 percent.

___________%

直接算,1/(1-8%)=108.7%(约等于)

3)Which of the following statements must be true?

Indicate all such statements.

A For 2008 the dollar amount of sales at Store R was greater than that at

each of the other four stores.

B The dollar amount of sales at Store S for 2008 was 22 percent less

than that for 2006.

C The dollar amount of sales at Store R for 2008 was more than 17

percent greater than that for 2006.

本题A选项一看到就可以排除了,涉及到两个店的绝对量的比较,这个不确定,没有告诉绝对值。B选项是把两个增长的比例简单地算术相加。肯定错了。所以C肯定是对的了。。算一下也是的确是对的。。

3.A certain store sells two types of pens: one type for $2 per pen and the

other type for $3 per pen. If a customer can spend up to $25 to buy pens at

the store and there is no sales tax, what is the greatest number of pens the

customer can buy?

A 9

B 10

C 11

D 12

E 20

这个题首先就可以想到单价越便宜的我就能买的越多,因为它没有说两种笔一定要都买。

4.A list of numbers has a mean of 8 and a standard deviation of 2.5. If x is a

number in the list that is 2 standard deviations above the mean, what is the

value of x ?

x=_8+2.5*2=13_这道题不知怎么的,读题的时候度饶了,感觉很费解,什么是两个标准差,以为是个什么特殊的东西,后来问了同学才知道这就是个简单的计算题,没啥特别的,我的个汗啊,考试的时候我碰到了,我肯定错了。。

5.Frequency Distribution for List X

Number 1 2 3 5

Frequency 10 20 18 12

Frequency Distribution for List Y

Number 6 7 8 9

Frequency 24 17 10 9

List X and list Y each contain 60 numbers. Frequency distributions for each list are givenabove. The average (arithmetic mean) of the numbers in list X is 2.7, and the average of thenumbers in list Y is 7.1. List Z contains 120 numbers: the 60 numbers in list X and the 60numbers in list Y.

Quantity A Quantity B

The average of the 120numbers in list Z The median of the 120 numbers in list Z

A中,平均数肯定就是两组的平均数的和的一半,也就是(2.7+7.1)/2=4.9,因为两组的人数相同,而B中median就是(5+6)/2=5.5,所以就是B了。。

6.The figure above shows the graph of the function f in the xy-plane. What is

the value of f ( f (–1)) ? A –2

B –1

C 0

D 1

E 2

这个题就是读图题了,一重重的往外算就好了,f (–1)=2,f(2)=1,即D

7.By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for whatpercent of the weight of the resulting solution?

A 10%

B 13%

C 15%

D 19%

E 26%

这个题小学也经常遇到,(3*8%+7+18%)/(7+3)=15%

8.Of the 700 members of a certain organization, 120 are lawyers. Two members of theorganization will be selected at random. Which of the following is closest to the probabilitythat neither of the members selected will be a lawyer?

A 0.5

B 0.6

C 0.7

D 0.8

E 0.9

这个就是组合的计算了, / =0.68(约等于),所以选C吧,这个题可以用下那个计算器了。

9.15人中取5人,有3个不能都取,有多少种取法?

C155 –C122

10.7人比赛,A在B的前面的可能性有多少种

P77 / 2 A在B前的次数与在其后的次数相等

11.3对人分为A,B,C三组,考虑组顺和组中的人顺,有多少种分法?

P33 ×(P22 )3 先考虑组顺,再考虑人顺

12.从4个蓝球2个红球中抽两个,第二个是红色的概率:蓝红+红红=(4/6)(2/5)+(2/6)(1/5)=1/3

13.P1,P2,P3,。。。 P1=1.P(n)=24P(n-1)+8.比较P(66)/6 与4 的大小。

解法:P(n)=24P(n-1)+8化为Pn+8/23=24[P(n-1)+8/23]

令An=Pn+8/23,则化为等比数列An=24A(n-1)

14. 5*10^9square feet的shopping area换成正方形,边长是多少miles?已知1mile=5280feet

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