Mathematical Olympiad in Ukraine, Third Round (January 23, )
15 problems here, rated 5 to 6.6 on our scale (AIME, harder to National Olympiad). 15 of them ask for a proof.
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Algebra | 5.0 | proof | 2010 | open |
| 2 | Algebra | 5.0 | proof | 2010 | open |
| 3 | Geometry | 5.1 | proof | 2010 | open |
| 4 | Algebra | 5.2 | proof | 2010 | open |
| 5 | Algebra | 5.3 | proof | 2010 | open |
| 6 | Number theory | 5.4 | proof | 2010 | open |
| 7 | Number theory | 5.4 | proof | 2010 | open |
| 8 | Number theory | 5.5 | proof | 2010 | open |
| 9 | Algebra | 5.5 | proof | 2010 | open |
| 10 | Algebra | 5.6 | proof | 2010 | open |
| 11 | Geometry | 5.6 | proof | 2010 | open |
| 12 | Number theory | 6.0 | proof | 2010 | open |
| 13 | Geometry | 6.0 | proof | 2010 | open |
| 14 | Combinatorics | 6.4 | proof | 2010 | open |
| 15 | Algebra | 6.6 | proof | 2010 | open |
These are sorted by difficulty within the competition, but they aren't a course.
The track is the route through, drawn from all the sources at once.