Library /National Math Olympiad in Slovenia

National Math Olympiad in Slovenia

44 problems here, rated 3.7 to 7.2 on our scale (AMC 10/12 to National Olympiad, round 2). 35 of them ask for a proof.

Algebra 12Combinatorics 7Geometry 12Number theory 13

#	Topic	Diff	Type	Year
1	Number theory	3.7	answer	—	open
2	Algebra	3.7	answer	—	open
3	Number theory	3.8	answer	—	open
4	Number theory	3.8	answer	—	open
5	Algebra	3.9	answer	—	open
6	Algebra	3.9	answer	—	open
7	Geometry	4.4	answer	—	open
8	Combinatorics	4.4	answer	—	open
9	Combinatorics	4.5	answer	—	open
10	Number theory	4.5	proof	—	open
11	Algebra	4.6	proof	—	open
12	Number theory	4.7	proof	—	open
13	Number theory	4.7	proof	—	open
14	Geometry	4.7	proof	—	open
15	Geometry	4.7	proof	—	open
16	Geometry	4.7	proof	—	open
17	Algebra	4.8	proof	—	open
18	Algebra	4.8	proof	—	open
19	Algebra	4.9	proof	—	open
20	Number theory	5.3	proof	—	open
21	Algebra	5.3	proof	—	open
22	Number theory	5.3	proof	—	open
23	Number theory	5.4	proof	—	open
24	Geometry	5.6	proof	—	open
25	Combinatorics	5.8	proof	—	open
26	Number theory	5.8	proof	—	open
27	Geometry	5.8	proof	—	open
28	Algebra	5.9	proof	—	open
29	Algebra	5.9	proof	—	open
30	Combinatorics	6.0	proof	—	open
31	Number theory	6.0	proof	—	open
32	Number theory	6.0	proof	—	open
33	Geometry	6.2	proof	—	open
34	Geometry	6.3	proof	—	open
35	Geometry	6.4	proof	—	open
36	Algebra	6.5	proof	—	open
37	Geometry	6.5	proof	—	open
38	Geometry	6.6	proof	—	open
39	Geometry	6.7	proof	—	open
40	Combinatorics	6.7	proof	—	open
41	Algebra	6.8	proof	—	open
42	Combinatorics	7.0	proof	—	open
43	Combinatorics	7.0	proof	—	open
44	Number theory	7.2	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.