Problem Set Workbook
Access the downloadable workbook for 2004 USAMO problems here.
Discussion Forum
Engage in discussion about the 2004 USAMO math contest by visiting Random Math USAMO 2004 Forum
Individual Problems and Solutions
For problems and detailed solutions to each of the 2004 USAMO problems, please refer below:
Problem 1: Let be a quadrilateral circumscribed about a circle, whose interior and exterior angles are at least . Prove that
When does equality hold?
Solution:
Problem 2: Suppose are integers whose greatest common divisor is 1 . Let be a set of integers with the following properties.
Prove that must be equal to the set of all integers.
Solution:
Problem 3: For what real values of is it possible to dissect a rectangle into two similar, but noncongruent, polygons?
Solution:
The problems on this page are the property of the MAA's American Mathematics Competitions