Selection tests for the Balkan Mathematical Olympiad
11 problems here, rated 6.6 to 8.5 on our scale (National Olympiad to Shortlist). 10 of them ask for a proof.
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Algebra | 6.6 | answer | 2013 | open |
| 2 | Geometry | 7.3 | proof | 2013 | open |
| 3 | Algebra | 7.4 | proof | 2013 | open |
| 4 | Algebra | 7.5 | proof | 2013 | open |
| 5 | Combinatorics | 7.5 | proof | 2013 | open |
| 6 | Geometry | 7.6 | proof | 2013 | open |
| 7 | Geometry | 7.8 | proof | 2013 | open |
| 8 | Algebra | 8.1 | proof | 2013 | open |
| 9 | Algebra | 8.4 | proof | 2013 | open |
| 10 | Geometry | 8.5 | proof | 2013 | open |
| 11 | Combinatorics | 8.5 | proof | 2013 | 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.