Library /Junior Balkan Mathematical Olympiad

Junior Balkan Mathematical Olympiad

60 problems here, rated 4.3 to 8 on our scale (AIME to Shortlist). 60 of them ask for a proof.

Algebra 17Combinatorics 11Geometry 17Number theory 15

#	Topic	Diff	Type	Year
1	Geometry	4.3	proof	—	open
2	Geometry	4.4	proof	—	open
3	Algebra	4.5	proof	—	open
4	Geometry	4.6	proof	—	open
5	Geometry	4.7	proof	—	open
6	Number theory	4.7	proof	—	open
7	Algebra	4.8	proof	—	open
8	Number theory	4.8	proof	—	open
9	Geometry	4.8	proof	—	open
10	Algebra	4.9	proof	—	open
11	Number theory	4.9	proof	—	open
12	Combinatorics	4.9	proof	—	open
13	Geometry	4.9	proof	—	open
14	Algebra	4.9	proof	—	open
15	Algebra	4.9	proof	—	open
16	Algebra	5.0	proof	—	open
17	Algebra	5.0	proof	—	open
18	Number theory	5.0	proof	—	open
19	Combinatorics	5.0	proof	—	open
20	Number theory	5.1	proof	—	open
21	Geometry	5.1	proof	—	open
22	Combinatorics	5.1	proof	—	open
23	Number theory	5.2	proof	—	open
24	Algebra	5.2	proof	—	open
25	Number theory	5.3	proof	—	open
26	Algebra	5.3	proof	—	open
27	Algebra	5.4	proof	—	open
28	Number theory	5.4	proof	—	open
29	Number theory	5.4	proof	—	open
30	Combinatorics	5.5	proof	—	open
31	Geometry	5.5	proof	—	open
32	Number theory	5.5	proof	—	open
33	Number theory	5.5	proof	—	open
34	Number theory	5.5	proof	—	open
35	Geometry	5.6	proof	—	open
36	Algebra	5.6	proof	—	open
37	Algebra	5.6	proof	—	open
38	Algebra	5.6	proof	—	open
39	Combinatorics	5.6	proof	—	open
40	Algebra	5.6	proof	—	open
41	Geometry	5.6	proof	—	open
42	Combinatorics	5.7	proof	—	open
43	Algebra	5.8	proof	—	open
44	Number theory	5.8	proof	—	open
45	Number theory	5.8	proof	—	open
46	Geometry	5.9	proof	—	open
47	Geometry	6.1	proof	—	open
48	Number theory	6.1	proof	—	open
49	Geometry	6.2	proof	—	open
50	Geometry	6.3	proof	—	open
51	Algebra	6.4	proof	—	open
52	Geometry	6.5	proof	—	open
53	Combinatorics	6.5	proof	—	open
54	Geometry	6.6	proof	—	open
55	Combinatorics	6.7	proof	—	open
56	Combinatorics	6.9	proof	—	open
57	Algebra	7.0	proof	—	open
58	Combinatorics	7.0	proof	—	open
59	Geometry	7.1	proof	—	open
60	Combinatorics	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.