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Sponsored by: UGA Math Department, UGA Math Club, UGA Parents and Families Association
 

Summary: Sponsored by: UGA Math Department, UGA Math Club,
UGA Parents and Families Association
Written test, 25 problems / 90 minutes
WITH SOLUTIONS
1 Easy Problems
Problem 1. On the picture below (not to scale, adapted from an actual
Chinese drawing from 1000 B.C.) the area of the large square ABCD is 25,
and the area of the small square A B C D is 1. Find the length of AA .
A
A
B
B
C
C
D
D
(A) 1 (B) 2 (C)
3 (D) 4 (E) None of the above
Solution. The side of the large square is 5, and that of the small square
is 1. Denote AA by x. The triangle ABA is a right triangle; so by the

  

Source: Alexeev, Valery - Department of Mathematics, University of Georgia

 

Collections: Mathematics