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Sponsored by: UGA Math Department and UGA Math Club Team Round / 1 hour
 

Summary: Sponsored by: UGA Math Department and UGA Math Club
Team Round / 1 hour
WITH SOLUTIONS
No calculators are allowed on this test. You do not have to provide
proofs; only the answers matter. Each problem is worth 50 points, for a total
of 200 points.
Problem 1.(The globe) What portion of the earth's surface is located be-
tween the equator and the 450
latitude?
45o
Answer.
2
4
.3535 35.35%
(Will accept .35 .2 and 35% 2% if a numerical (not exact) answer was
given. Example: 33% is accepted, 1/3 is not. Will also accept sin(450
)/2 or
cos(450
)/2.)
Solution. Project our area to the vertical axis: you get the interval [0, sin 450

  

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

 

Collections: Mathematics