1、 一个圆以原点为圆心，一条直线与它相切与(-根号2，根号2），问该直线斜率  答案：1

2、 一个圆以原点为圆心，1为半径，一个直线过原点且斜率为1，问与它交于下列哪个点。答案：（根号2/2，根号2/2）

3、to bid a project, the cost includes material cost and labor cost, ask the percentage of X's bid cost to Y's bid cost?
　　a.X's costs are 20% higher than labor costs and 10% higher than material costs.
　　b. Of total costs', Y'S 60% are labor costs.
　　(今天让我最头疼的一道题，和去年2月的73th JJ不同， 犹豫半天，选了个E）

4、给出一个table, 上面是八个国家的per####, 问能得出下面的什么。（简单，都是基本数字对比，送分题）

5、一种酒，用bottle装，用船运给买家。单价40$, 买n瓶时，需要付的钱有包括酒价和运费，运费又包括两部分，一是全部酒价的5%，二是每运一船的5$.问，如果最后算出每瓶酒包括运费在内的实际价格小于42.5$, n 最小是多少. 答案：11

6、x1<x2<x3<x4<x5, 问x1是多少
　　（1）每一个数都是前一个数的两倍
　　（2）x4=4x2
　　答案：e

7、 x/2为整数，x/3是整数，问x能不能被12整除
　　（1）x能被6整除
　　（2）x/2是even
　　答案：b

8、几张牌 分别是 35 28 64 57 （数字不准），抽出一张，问剩下的range 是多少。
　　1）  抽出的是5的倍数
　　2）  抽出的是odd number.
　　差点就选a了，应选d. 问的是range.(最大和最小的都是even )

9、A company ‘s profit increased x percent in 1980 than 1975, and increased y percent in 1985 than in 1980, what percent increased in 1985 than 1975.
　　1)   x+y=4
　　2)  （1+x/100）( 1+y/100)=4
　　b

10、The area of a round pool is 63, and the area of a passage around the pool is 18, ask the width of the passage is most approximate to which of the following answer
　　2.0   1.5    1.0  1.3
　　要知道根号7的值，可是把我算死了，我选了1.0 还有一题要知道根号10，大家记一下，免得到时候抓狂

11、to bid a project, the cost includes material cost and labor cost, ask the percentage of X's bid cost to Y's bid cost?
　　a.X's costs are 20% higher than labor costs and 10% higher than material costs.
　　b. Of total costs', Y'S 60% are labor costs.
　　这是昨天的jj，我也选了E。

12、前n个奇数的和是n^2,问从25到79的基数和是多少？a 39^2-11^2   b 39^2-12^2  c 40^2 - 12^2
　　d 79^2-22^2 e 80^2- 23^2. 不知道是不是我没看懂题目，反正觉得答案都不对。胡猜了一个，看后面有没有人能补充吧。

13、一个圆形池塘，面积63pai， 在其外围包围一条宽度一样的小路，该小路的面积是18pai，问小路的宽度最接近多少，其实就是一个圆环。我记得答案是通过9－3根号7推断近似值。

14、x divided by 5, the remainder is 3, divided by 7 remainder is 4; Y divided by 5 remainder 3, divided by 7 the remainder is 4, if x>Y, then the difference must be ?我选35。

15、已知一长方形的面积为108，对角线为15，问长方形的周长

16、一个班，60%学生学sculpt，36%学paint，30%两样都不学，问从学sculpt的学生里任抽一人，这个学生是两样都学的概率

17、一种电池，标价1.25刀，使用寿命为5小时，现在更新为可用6.9小时，标价为1.50刀，问the percentage increase of the price-duration ratio （问题不能完全回忆起来了）

18、一个cube，求体积  （1）他的边长之和为36  （2）他的表面积为54

19、一个长方形，边长是12feet和9feet，一个正方形边长为9inch，问最少要用多少个正方形能完全盖住那个长方形（12inch=1feet）

20、x=5，根号下x4-x2-5/x4-7 等于几

21、 30 个苹果， 12 各坏的，问好的苹果与坏的苹果的比率。

22、 一个公司02 年的收入是d dollars, 03年增长了10%， 04年降低了25%。问04 年的收入与01年之比。

23、 一共有12个老师，会法语的6个，剩下的会德语的或者西班牙语。 选4个人，至少有1个会法语的组合多少？

24、 x>5?  1) x的绝对值大于5 2）x>-2/7

25、 1-0.000001=?  选项之中有 1。001乘以0。999

26、有一个数列是由7个连续整数组成的。在这7个数中，有几个树可以被6整除？
　　1）12是它的中数 2) median 可以被6整除

27、 一个小的正方形镶嵌在大的中间，它的边与大的两条夹边形成了直角三角形。小正方形边长为3，直角三角形一边为2。 问大正方形的周长。（有图，看了就会做了）

28、 PS. (1/(根号5 -根号10))^2) =?  
　　Answer: -3-2根号2

29、PS. P and r are different prime number, how many different factors for ps^2?
　　Answer :6

30、PS. Water tank is filled in via constant rate at 3 cubic feet per minute, we noticed the water tank’s height increase at the constant rate with 0.1 foot per minute. What’s the following is close most to tank’s radius?
　　3 feet, 4 feet, 5 feet, 6 feet etc. I chose 3 feet. Need to know the square root of 10, I guess.

31、     DS. |x| <5?
　　A: x<5
　　B: x>-10
　　I chose E.

32、DS. Order t-shirt, the total cost consists of $3.95 shipping fee and then $29.95 for each t-shirt. How many t-shirt were ordered?
　　A: total cost between 280 and 300;
　　B: total cost between 300 and 330.; (not sure the exact number)
　　此题不难, 但要计算, 考试时我可没情绪细算, 粗略算一下, 我选D, 好象只能有一个整数.

33、DS. 买邮票, one kind is 32 cent, another one is 23 cent. How many 32cent stamp?
　　A: the number of 32 cents stamps is twice of  23 cents;
　　B: total cost is 87 cents.
　　I chose B.
34、PS, total 6 persons, 分成三组, 各两人, 研究三个课题. 有几种组合?   I 选 90.

35、斜率. 问一条线斜率是否等于零?
　　A: 经过点(0,2);
　　B. 此线平行X 轴;
　　I 选 B;

36、which following equation has exact one point with x and y are integers?
　　y=2x
　　y=2x/5
　　y=x+1/2
　　y=x *根号3
　　I chose y=x *根号3

37、DS. This one is tricky, what’s the value of x?
　　A: 3x +4y =16
　　B: 9x+12y=48
　　I chose E. since both equations are same.

38、DS: During each day last week, A person(John?)get paid at $12 each hour for the first 8 hours and then 1.5times of this rate each hour after 8 hours. How many hours did John work last Tuesday?
　　A: On Tuesday, John workd more than 4 hours than Monday, and got $48 more paid.
　　B: On Wednesday,John workd more than 3 hours than Tuesday, and got $??(I forgot, sorry) more paid;
　　这题很麻烦, 因为还有分数的工作小时数, 组合情况太多.我考虑了一会, 随便选了个E.这题跟数字有很大关系, 大家可以考虑思路.但如果有分数,就很难判断.所以我选了E. 仅供参考.

39、DS: woman:man:children =5:2:7, how many woman?
　　A: total of woman and children are 12;
　　B: there are fewer than 4 for men.
　　I chose D.

40、 PS. a budget $d, 1/3 invest in stocks, 2/3 invest in bonds, after one year, stock got profit of x percent, bond got loss of y percent. X=4Y. in terms of d and x, what's the dollor of total loss or profit after one year?
　　选项有5个,注意前3个是PROFIT, 后两个是LOSS, 算仔细应该不会出错.

41、  PS. a company selll a product. The profit increased to 25 prcent of the cost from 20 percent of cost after adjusting to new selling price. The new price is $80, the cost is not changed. ask the old price?
　　answer: $76.8

42、PS. In an organization, 40% woman. and of these 30% are 40 years old or more than 40 years old. If the men in this organization are 1800, how many women are 40year &above 40 year old?
　　I remember is 360.

43、PS. x and y are unit digit and tens digit, repectively, of (123456789)^2. which following are ture?
　　I. x=1
　　II. y=2
　　III. y=4.
　　I chose I and II.

44、DS. a complex includes 2 br apartment and 3 br apartment, with rent of $500 and $800 repsectively. How many 3 br apartment in this complex?
　　A: 2 br is twice of 3 br.
　　B. the total rent is $?? (a number)
　　I chose C.

45、 DS. Three positive number, the median is 5, is the average greater than median?
　　A: the least of these number is 1;
　　B. the greatest number of these numbers is 10;
　　I chose B.

46、GWD. Mary persuade her firend to donate $500 for a compaign 那题. 各位可以去查, 一样的.

47、2004年第10.
　　此主题相关图片如下：
　　ps.Each segment from A to G has equal distance.  Which of the following point represents [-(3^12)] ?(重复三次)
　　(A) A;  (B) B;  (C) C;  (D) D;  (E) E;
　　作者答案: (D)
　　橙子评价: 同意. G点到F点的距离是:3^12-3^11=2*3^11即每一小段距离
　　3^12-[-(3^12)]=2*3^12=6*3^11,即相隔G为三段
　　由此求得D点为[-(3^12)]

48、2004年第29. ds.x^2 +2qx+ r =0 , ask for the numbers of intersection with X-axis.(重复两次)
　　A: q^2>r
　　B: r^2>q
　　橙子评价:选A
　　由二元方程式的中b^2-4ac>0,X有两个解,
　　由A可得4q^2-4r>0,所以与X轴有两个交点
　　B无法推出

49、2005年1月JJ第345、DS: 如图, a,b,c,d 四线相交(注意没有说 a,b 平行), x, y, w,z 为夹角, 问 x+y<180度? 1) 忘了; 2) x+y>180度.

50、排列了26个英文字母，按照随即抽查的使用频率排列了，问M的频率是否大于1/26？两个条件分别给出两个字母的频率大于1/26。字母的顺序对题可能有帮助，我不记得那顺序了，我是选E