SELECTION TESTS FOR THE BMO AND IMO
12 problems here, rated 7.5 to 9 on our scale (National olympiad, round 2 to IMO level). 12 of them ask for a proof.
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Number theory | 7.5 | proof | 2019 | open |
| 2 | Number theory | 7.7 | proof | 2019 | open |
| 3 | Algebra | 7.9 | proof | 2019 | open |
| 4 | Number theory | 8.0 | proof | 2019 | open |
| 5 | Algebra | 8.1 | proof | 2019 | open |
| 6 | Combinatorics | 8.1 | proof | 2019 | open |
| 7 | Combinatorics | 8.3 | proof | 2019 | open |
| 8 | Geometry | 8.4 | proof | 2019 | open |
| 9 | Geometry | 8.4 | proof | 2019 | open |
| 10 | Geometry | 8.5 | proof | 2019 | open |
| 11 | Combinatorics | 8.9 | proof | 2019 | open |
| 12 | Combinatorics | 9.0 | proof | 2019 | 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.