Selected Problems from Open Contests
15 problems here, rated 4.5 to 6.8 on our scale (AIME to National olympiad). 15 of them ask for a proof.
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Geometry | 4.5 | proof | — | open |
| 2 | Geometry | 4.7 | proof | — | open |
| 3 | Number theory | 4.7 | proof | — | open |
| 4 | Algebra | 4.7 | proof | — | open |
| 5 | Algebra | 4.7 | proof | — | open |
| 6 | Geometry | 5.3 | proof | — | open |
| 7 | Number theory | 5.3 | proof | — | open |
| 8 | Geometry | 5.3 | proof | — | open |
| 9 | Geometry | 5.3 | proof | — | open |
| 10 | Number theory | 5.4 | proof | — | open |
| 11 | Geometry | 5.5 | proof | — | open |
| 12 | Combinatorics | 5.9 | proof | — | open |
| 13 | Combinatorics | 6.5 | proof | — | open |
| 14 | Combinatorics | 6.6 | proof | — | open |
| 15 | Number theory | 6.8 | proof | — | 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.