Library /Junior Balkan Mathematical Olympiad Shortlist

Junior Balkan Mathematical Olympiad Shortlist

43 problems here, rated 4.7 to 7.5 on our scale (AIME to National Olympiad, round 2). 43 of them ask for a proof.

Algebra 13Combinatorics 3Geometry 15Number theory 12

#	Topic	Diff	Type	Year
1	Algebra	4.7	proof	—	open
2	Algebra	4.8	proof	—	open
3	Algebra	4.8	proof	—	open
4	Algebra	4.8	proof	—	open
5	Algebra	4.9	proof	—	open
6	Algebra	5.0	proof	—	open
7	Algebra	5.0	proof	—	open
8	Geometry	5.1	proof	—	open
9	Algebra	5.2	proof	—	open
10	Geometry	5.3	proof	—	open
11	Number theory	5.4	proof	—	open
12	Geometry	5.5	proof	—	open
13	Algebra	5.5	proof	—	open
14	Number theory	5.5	proof	—	open
15	Algebra	5.5	proof	—	open
16	Number theory	5.5	proof	—	open
17	Number theory	5.6	proof	—	open
18	Number theory	5.6	proof	—	open
19	Number theory	5.6	proof	—	open
20	Algebra	5.6	proof	—	open
21	Number theory	5.8	proof	—	open
22	Geometry	5.8	proof	—	open
23	Number theory	5.9	proof	—	open
24	Geometry	5.9	proof	—	open
25	Geometry	6.0	proof	—	open
26	Geometry	6.0	proof	—	open
27	Number theory	6.0	proof	—	open
28	Geometry	6.0	proof	—	open
29	Number theory	6.1	proof	—	open
30	Number theory	6.1	proof	—	open
31	Number theory	6.1	proof	—	open
32	Algebra	6.1	proof	—	open
33	Geometry	6.3	proof	—	open
34	Combinatorics	6.3	proof	—	open
35	Combinatorics	6.3	proof	—	open
36	Geometry	6.3	proof	—	open
37	Algebra	6.4	proof	—	open
38	Geometry	6.6	proof	—	open
39	Geometry	6.6	proof	—	open
40	Geometry	6.7	proof	—	open
41	Geometry	6.8	proof	—	open
42	Geometry	7.0	proof	—	open
43	Combinatorics	7.5	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.