Shortlist JBMO
50 problems here, rated 4.4 to 7.3 on our scale (AIME to National Olympiad, round 2). 50 of them ask for a proof. Years covered: 2007–2009.
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Number theory | 4.4 | proof | 2007 | open |
| 2 | Geometry | 4.4 | proof | 2007 | open |
| 3 | Geometry | 4.5 | proof | 2007 | open |
| 4 | Number theory | 4.6 | proof | 2007 | open |
| 5 | Algebra | 4.6 | proof | 2007 | open |
| 6 | Number theory | 4.7 | proof | 2008 | open |
| 7 | Geometry | 4.7 | proof | 2009 | open |
| 8 | Number theory | 4.7 | proof | 2008 | open |
| 9 | Number theory | 4.8 | proof | 2008 | open |
| 10 | Algebra | 5.0 | proof | 2008 | open |
| 11 | Geometry | 5.0 | proof | 2009 | open |
| 12 | Algebra | 5.0 | proof | 2009 | open |
| 13 | Algebra | 5.0 | proof | 2008 | open |
| 14 | Algebra | 5.2 | proof | 2008 | open |
| 15 | Geometry | 5.2 | proof | 2009 | open |
| 16 | Algebra | 5.3 | proof | 2009 | open |
| 17 | Algebra | 5.3 | proof | 2008 | open |
| 18 | Number theory | 5.5 | proof | 2009 | open |
| 19 | Number theory | 5.5 | proof | 2008 | open |
| 20 | Number theory | 5.5 | proof | 2009 | open |
| 21 | Algebra | 5.7 | proof | 2008 | open |
| 22 | Number theory | 5.7 | proof | 2008 | open |
| 23 | Geometry | 5.7 | proof | 2008 | open |
| 24 | Geometry | 5.7 | proof | 2008 | open |
| 25 | Algebra | 5.7 | proof | 2009 | open |
| 26 | Algebra | 5.8 | proof | 2007 | open |
| 27 | Number theory | 5.8 | proof | 2008 | open |
| 28 | Algebra | 5.8 | proof | 2008 | open |
| 29 | Combinatorics | 5.8 | proof | 2009 | open |
| 30 | Geometry | 6.0 | proof | 2009 | open |
| 31 | Number theory | 6.0 | proof | 2008 | open |
| 32 | Number theory | 6.1 | proof | 2007 | open |
| 33 | Number theory | 6.2 | proof | 2008 | open |
| 34 | Geometry | 6.2 | proof | 2008 | open |
| 35 | Geometry | 6.3 | proof | 2008 | open |
| 36 | Number theory | 6.3 | proof | 2008 | open |
| 37 | Geometry | 6.3 | proof | 2008 | open |
| 38 | Geometry | 6.3 | proof | 2007 | open |
| 39 | Number theory | 6.3 | proof | 2009 | open |
| 40 | Algebra | 6.4 | proof | 2008 | open |
| 41 | Number theory | 6.6 | proof | 2007 | open |
| 42 | Combinatorics | 6.7 | proof | 2009 | open |
| 43 | Algebra | 6.7 | proof | 2009 | open |
| 44 | Geometry | 6.7 | proof | 2008 | open |
| 45 | Geometry | 6.9 | proof | 2008 | open |
| 46 | Geometry | 7.0 | proof | 2008 | open |
| 47 | Combinatorics | 7.1 | proof | 2008 | open |
| 48 | Combinatorics | 7.1 | proof | 2008 | open |
| 49 | Number theory | 7.2 | proof | 2008 | open |
| 50 | Combinatorics | 7.3 | proof | 2007 | 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.