Utah Mathematical Olympiad

The Utah Math Olympiad (UMO) is a 3-hour test with 6 questions. The questions are interesting, elegant, and accessible to anyone with a high-school level background. However, they are also often quite challenging, and generally increase in difficulty from problem 1 to problem 6. The topics usually span at least the following major categories: Algebra, Geometry, Number Theory, and Combinatorics. In order to get credit for a problem, a student must write a convincing argument that proves their answer. This is not the same as merely showing one’s work, nor is it the same as explaining every step in great detail.

The UMO is intended for advanced high school students. However, any Utah student who has not completed 12th grade and is 19 years old or younger is eligible to participate.