Library /JBMO Shortlist

JBMO Shortlist

28 problems here, rated 4.3 to 7.7 on our scale (AIME to National Olympiad, round 2). 28 of them ask for a proof.

Algebra 6Combinatorics 3Geometry 13Number theory 6

#	Topic	Diff	Type	Year
1	Geometry	4.3	proof	—	open
2	Geometry	4.5	proof	—	open
3	Algebra	4.9	proof	—	open
4	Geometry	5.0	proof	—	open
5	Algebra	5.2	proof	—	open
6	Geometry	5.3	proof	—	open
7	Algebra	5.4	proof	—	open
8	Geometry	5.5	proof	—	open
9	Geometry	5.5	proof	—	open
10	Number theory	5.5	proof	—	open
11	Number theory	5.6	proof	—	open
12	Combinatorics	5.6	proof	—	open
13	Geometry	5.6	proof	—	open
14	Number theory	5.7	proof	—	open
15	Number theory	5.7	proof	—	open
16	Number theory	5.7	proof	—	open
17	Geometry	5.8	proof	—	open
18	Combinatorics	6.0	proof	—	open
19	Number theory	6.1	proof	—	open
20	Algebra	6.3	proof	—	open
21	Geometry	6.3	proof	—	open
22	Geometry	6.4	proof	—	open
23	Combinatorics	6.7	proof	—	open
24	Geometry	6.8	proof	—	open
25	Algebra	6.9	proof	—	open
26	Geometry	7.2	proof	—	open
27	Algebra	7.5	proof	—	open
28	Geometry	7.7	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.