1. 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
Ans: D
解析：
一、先用$25去买$2的笔看最多能买多少支。最多可以买12支，剩余$1。
二、$2的笔少买一支，买11支，则剩余$3，还可以再买一支$3的笔，总共买12支。
三、$2的笔在第二种情况的基础上再少买一支，只买10支，剩余$5，只能再买一支$3的。共买11支。
可以看出，随着买$2笔的数量的递减，总共能买的笔的数量也在递减，因此最多能买的就是12支笔。
解题要点：文字题重在理解题意，本题关键点是看出要想买的笔的数量多，要尽量多买$2的笔。
2. If y=3x,and z=2y,what is x + y+ z in terms of x?
A 10x
B 9x
C 8x
D 6x
E 5x
Ans: A
解析：∵y=3x ,z=2y ∴z=2*3x=6x
∴x +y + z=x+3x+6x=10x
解题要点：等量代换
3. A certain shipping service charges an insurance fee of $0.75 when shipping any package with contents worth $25.00 or less and an insurance fee of $1.00 when shipping any package with contents worth over $25.00. If Dan uses the shipping company to ship three packages with contents worth $18.25, $25.00, and $127.50, respectively, what is the total insurance fee that the company charges Dan to ship the three packages?
A $1.75
B $2.25
C $2.50
D $2.75
E $3.00
Ans: C
解析：
Package <=$25.00 >$25.00
fee $0.75 $1.00
Package $18.25 $25.00 $127.50 Total fee
fee $0.75 $0.75 $1.00 $0.75+$0.75+$1.00=$2.50
解题要点：解题要点：文字题重在阅读理解能力，诸如此题存在多种对应时，可做成表格。
4. If 55 percent of the people who purchase a certain product are female, what is the ratio of the number of females who purchase the product to the number of males who purchase the product?
A 11 to 9
B 10 to 9
C 9 to 10
D 9 to 11
E 5 to 9
Ans: A
解析： female：55% male：100%-55%=45%
ratio female :male=55%:45%=11:9
解题要点：文字题关键之一是把文字变成数学表达式
句型 the ratio of A to B意思是A：B
5. 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=( )
Ans: 13
解析： x=2*2.5+8=13
解题要点：文字形式转换成代数表达式
2 standard deviations above the mean的代数表达式为
2* standard +mean
6. If (d-3n)/(7n-d)=1, which of the following statements
describes d in terms of n?
A d is 4 less than n.
B d is 4 more than n.
C d is 3/7 of n.
D d is 2 times n.
E d is 5 times n.
Ans: E
解析： (d-3n)/(7n-d)=1 d-3n=7n-d 2d=10n d=5n
解题要点：把d当成未知量，n当成已知量，遵循解方程的原则。
7. By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?
A 10%
B 13%
C 15%
D 19%
E 26%
Ans: C
解析： (3*8%+7*18%)/(3+7)=15%
解题要点：文字题中的一类——混合物问题，无论溶液问题或固态物质混合问题，要抓住混合前后的不变量。
8. Of the 700 members of a certain organization, 120 are lawyers. Two members of the organization will be selected at random. Which of the following is closest to the probability that neither of the members selected will be a lawyer?
A 0.5
B 0.6
C 0.7
D 0.8
E 0.9
Ans: C
解析： lawyers：120 not lawyers:700-120=580
580*579/700*699≈0.7
9. If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third side of the triangle?
Indicate all such lengths
A 3
B 5
C 8
D 15
Ans: BC
解析：三角形中两边之和大于第三边
两边之差小于第三边
设三角形第三边为x
4=9-5
解题要点：熟知三角形不等式、三角函数值等三角形知识。
10. A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?
A 6
B 24
C 56
D 120
E 462
Ans: C
解析：从总数中选出一定的人数，这属于组合问题。已从11个候选人中选出了3人，则还需从剩余的8人中选出3人。