[转帖]2005-03-08

robert

感谢提供机经的XDJM
Q：
1).
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Square ABCD with length 1; BE=DE; CE=1 what is the area of triangle BCE?
Ans: (Square Root of 2) /4

2) In a school, the ratio of the number of 1st grader to the number of 2nd grader is 3:4
the ratio of the number of 2nd grader to the number of 4th grader is 8:5; the ratio of the number of 3rd grader to the number of 4th grader is 3:4, what is the ratio of 1st to 3rd ?

3) The mean of three numbers 3, 8, and w is greater than or equal to 7 and is less than or equal to 44, what is the possible greatest value of w?

4) 6 tables selected from 9 different tables, 2 desks selected from 3 desks, how many more possible outcomes of tables than desks?

5) A number of machines work on a job at equally constant rate respectly. How many hours does it take 5 such machines to finish the job?
(a) 4 machines take 30 hours to finish the job.
(b) 5 machines takes 12 hours less than 3 machines to finish the job.

6)




In the semicircle OPQRSTUVW which is equally divided into eight pieces such as OP, PQ, QR,RS,ST, TU, UV, VW, a car enter into the semicircle at a constant speed 15mile/hour. After 3 minutes, which segment does the car stay? (the distance OW=1 mile)

7)The median of three positive integers such as a,b,c is 5 . Is the mean of these numbers greater than the median of them?
(a) the least one of them is 1;
(b) the largest one of them is 10.

8) what is the value of (2^p)*(4^-q)?
(a) p=2q
(b) p=q

9) the house numbers of houses on the north side of a street are numbered from 433 to 591 inclusive. How many houses on the north side of the street?

10)One day, a museum sold tickets to groups of 30 people every 5 minutes from 9:00 AM to 5:55 PM inclusive. The regular price of ticket is $10, and the student price is $6. At the end of the day, the number of tickets sold to students is 3 times the number of tickets sold to regular customers. How many dollares is the total revenu?

11)Out of 50 persons, there are 35 with college degrees and 30 female. How many female with college degree are there out of the 50 persons?
(a) 20 are male and college degree
(b) 5 female without college degree

12)if (x^2)-6xy+(9*(y^2))=16, what is value of (x-3y)^4 ?

13)a consequece such that 1,2,4,8,16,…. . what is the sum of 16th, 17th, and 18th?

14)there are 20 beans in a bag. Only five colors such as white, green , yellow, red, and black. There are 5 green beans. If one bean is selected from the bag, the probability of either green or yellow is less than 2/5. how many the greatest number of yellow beans in the bag?

V.
There are lots of GWD and Tianshang.