Library /The 35th Japanese Mathematical Olympiad

The 35th Japanese Mathematical Olympiad

16 problems here, rated 5.5 to 8 on our scale (AIME, harder to Shortlist). 16 of them ask for a proof.

Algebra 2Combinatorics 4Geometry 5Number theory 5

#	Topic	Diff	Type	Year
1	Number theory	5.5	proof	—	open
2	Number theory	6.1	proof	—	open
3	Algebra	6.4	proof	—	open
4	Geometry	6.4	proof	—	open
5	Geometry	6.5	proof	—	open
6	Geometry	6.6	proof	—	open
7	Number theory	6.9	proof	—	open
8	Number theory	7.2	proof	—	open
9	Combinatorics	7.2	proof	—	open
10	Algebra	7.3	proof	—	open
11	Combinatorics	7.4	proof	—	open
12	Number theory	7.4	proof	—	open
13	Geometry	7.5	proof	—	open
14	Combinatorics	7.5	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.