51st IMO Shortlisted Problems
13 problems here, rated 7.6 to 8.9 on our scale (National olympiad, round 2 to Shortlist). 13 of them ask for a proof.
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Algebra | 7.6 | proof | — | open |
| 2 | Algebra | 7.6 | proof | — | open |
| 3 | Geometry | 8.3 | proof | — | open |
| 4 | Algebra | 8.5 | proof | — | open |
| 5 | Algebra | 8.6 | proof | — | open |
| 6 | Algebra | 8.7 | proof | — | open |
| 7 | Algebra | 8.8 | proof | — | open |
| 8 | Combinatorics | 8.8 | proof | — | open |
| 9 | Algebra | 8.8 | proof | — | open |
| 10 | Algebra | 8.8 | proof | — | open |
| 11 | Combinatorics | 8.8 | proof | — | open |
| 12 | Combinatorics | 8.9 | proof | — | open |
| 13 | Geometry | 8.9 | proof | — | open |
These are in difficulty order within this competition, but they are not a course.
The track is the ordered route, drawn from across all the sources.