Library /45th Mongolian Mathematical Olympiad

45th Mongolian Mathematical Olympiad

19 problems here, rated 5.1 to 7.2 on our scale (AIME, harder to National olympiad, round 2). 19 of them ask for a proof.

Algebra 3Combinatorics 6Geometry 3Number theory 7

#	Topic	Diff	Type	Year
1	Number theory	5.1	proof	—	open
2	Number theory	5.1	proof	—	open
3	Algebra	5.2	proof	—	open
4	Algebra	5.2	proof	—	open
5	Number theory	5.8	proof	—	open
6	Combinatorics	6.0	proof	—	open
7	Number theory	6.0	proof	—	open
8	Combinatorics	6.0	proof	—	open
9	Number theory	6.1	proof	—	open
10	Number theory	6.1	proof	—	open
11	Combinatorics	6.2	proof	—	open
12	Combinatorics	6.5	proof	—	open
13	Geometry	6.5	proof	—	open
14	Number theory	6.6	proof	—	open
15	Combinatorics	6.8	proof	—	open
16	Geometry	6.8	proof	—	open
17	Combinatorics	7.0	proof	—	open
18	Geometry	7.0	proof	—	open
19	Algebra	7.2	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.