Library /Japanese Mathematical Olympiad

Japanese Mathematical Olympiad

16 problems here, rated 5.4 to 8 on our scale (AIME, harder to Shortlist). 16 of them ask for a proof.

Algebra 1Combinatorics 5Geometry 6Number theory 4

#	Topic	Diff	Type	Year
1	Number theory	5.4	proof	—	open
2	Number theory	5.5	proof	—	open
3	Algebra	6.4	proof	—	open
4	Geometry	6.4	proof	—	open
5	Geometry	6.5	proof	—	open
6	Geometry	6.5	proof	—	open
7	Geometry	6.6	proof	—	open
8	Number theory	6.9	proof	—	open
9	Combinatorics	7.2	proof	—	open
10	Combinatorics	7.4	proof	—	open
11	Number theory	7.4	proof	—	open
12	Geometry	7.5	proof	—	open
13	Combinatorics	7.5	proof	—	open
14	Combinatorics	7.6	proof	—	open
15	Combinatorics	7.8	proof	—	open
16	Geometry	8.0	proof	—	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.