Japan
17 problems here, rated 3.9 to 7.6 on our scale (AMC 10/12 to National olympiad, round 2). 15 of them ask for a proof.
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Number theory | 3.9 | answer | 2007 | open |
| 2 | Geometry | 4.5 | proof | 2007 | open |
| 3 | Combinatorics | 4.6 | answer | 2007 | open |
| 4 | Geometry | 4.7 | proof | 2007 | open |
| 5 | Geometry | 4.7 | proof | 2007 | open |
| 6 | Combinatorics | 5.6 | proof | 2007 | open |
| 7 | Number theory | 5.6 | proof | 2007 | open |
| 8 | Algebra | 5.9 | proof | 2007 | open |
| 9 | Number theory | 6.0 | proof | 2007 | open |
| 10 | Number theory | 6.1 | proof | 2007 | open |
| 11 | Combinatorics | 6.1 | proof | 2007 | open |
| 12 | Geometry | 6.4 | proof | 2007 | open |
| 13 | Algebra | 6.5 | proof | 2007 | open |
| 14 | Geometry | 7.0 | proof | 2007 | open |
| 15 | Combinatorics | 7.3 | proof | 2007 | open |
| 16 | Combinatorics | 7.6 | proof | 2007 | open |
| 17 | Algebra | 7.6 | 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.