Danube Mathematical Competition
34 problems here, rated 4.5 to 6.9 on our scale (AIME to National Olympiad). 34 of them ask for a proof. Years covered: 2010–2015.
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Geometry | 4.5 | proof | — | open |
| 2 | Geometry | 4.6 | proof | 2014 | open |
| 3 | Number theory | 4.6 | proof | 2014 | open |
| 4 | Combinatorics | 4.7 | proof | 2010 | open |
| 5 | Algebra | 4.7 | proof | — | open |
| 6 | Algebra | 4.9 | proof | — | open |
| 7 | Number theory | 4.9 | proof | 2015 | open |
| 8 | Algebra | 5.0 | proof | 2014 | open |
| 9 | Geometry | 5.2 | proof | — | open |
| 10 | Combinatorics | 5.3 | proof | — | open |
| 11 | Combinatorics | 5.3 | proof | — | open |
| 12 | Combinatorics | 5.3 | proof | 2015 | open |
| 13 | Number theory | 5.4 | proof | 2010 | open |
| 14 | Number theory | 5.4 | proof | — | open |
| 15 | Algebra | 5.5 | proof | 2014 | open |
| 16 | Number theory | 5.6 | proof | 2014 | open |
| 17 | Number theory | 5.6 | proof | — | open |
| 18 | Geometry | 5.7 | proof | — | open |
| 19 | Combinatorics | 5.8 | proof | — | open |
| 20 | Number theory | 5.8 | proof | — | open |
| 21 | Combinatorics | 5.8 | proof | 2014 | open |
| 22 | Number theory | 5.9 | proof | — | open |
| 23 | Geometry | 6.0 | proof | — | open |
| 24 | Number theory | 6.0 | proof | — | open |
| 25 | Geometry | 6.1 | proof | 2010 | open |
| 26 | Geometry | 6.1 | proof | — | open |
| 27 | Algebra | 6.3 | proof | — | open |
| 28 | Algebra | 6.4 | proof | 2010 | open |
| 29 | Geometry | 6.4 | proof | — | open |
| 30 | Algebra | 6.5 | proof | — | open |
| 31 | Combinatorics | 6.5 | proof | — | open |
| 32 | Combinatorics | 6.6 | proof | — | open |
| 33 | Algebra | 6.6 | proof | — | open |
| 34 | Geometry | 6.9 | proof | 2014 | 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.