Library /Hellenic Mathematical Olympiad

Hellenic Mathematical Olympiad

57 problems here, rated 4.9 to 7.7 on our scale (AIME to National Olympiad, round 2). 56 of them ask for a proof.

Algebra 17Combinatorics 10Geometry 15Number theory 15

#	Topic	Diff	Type	Year
1	Geometry	4.9	proof	—	open
2	Number theory	5.0	proof	—	open
3	Algebra	5.1	proof	—	open
4	Algebra	5.1	proof	—	open
5	Combinatorics	5.1	proof	—	open
6	Number theory	5.1	proof	—	open
7	Number theory	5.3	proof	—	open
8	Combinatorics	5.3	answer	—	open
9	Algebra	5.4	proof	2020	open
10	Number theory	5.4	proof	—	open
11	Number theory	5.5	proof	—	open
12	Number theory	5.6	proof	—	open
13	Algebra	5.7	proof	—	open
14	Combinatorics	5.7	proof	—	open
15	Number theory	5.8	proof	—	open
16	Geometry	5.8	proof	—	open
17	Number theory	5.8	proof	—	open
18	Geometry	5.8	proof	—	open
19	Number theory	5.8	proof	—	open
20	Combinatorics	5.9	proof	—	open
21	Combinatorics	5.9	proof	—	open
22	Algebra	5.9	proof	—	open
23	Algebra	6.0	proof	—	open
24	Algebra	6.0	proof	—	open
25	Geometry	6.0	proof	—	open
26	Number theory	6.0	proof	—	open
27	Algebra	6.0	proof	—	open
28	Algebra	6.1	proof	—	open
29	Combinatorics	6.1	proof	—	open
30	Algebra	6.2	proof	—	open
31	Number theory	6.2	proof	—	open
32	Algebra	6.2	proof	—	open
33	Geometry	6.2	proof	—	open
34	Number theory	6.3	proof	—	open
35	Number theory	6.3	proof	—	open
36	Algebra	6.3	proof	2020	open
37	Number theory	6.3	proof	—	open
38	Geometry	6.3	proof	—	open
39	Algebra	6.4	proof	—	open
40	Geometry	6.5	proof	—	open
41	Algebra	6.5	proof	—	open
42	Geometry	6.5	proof	—	open
43	Geometry	6.6	proof	—	open
44	Geometry	6.7	proof	—	open
45	Geometry	6.7	proof	—	open
46	Combinatorics	6.7	proof	—	open
47	Geometry	6.7	proof	—	open
48	Geometry	6.8	proof	—	open
49	Number theory	6.9	proof	—	open
50	Combinatorics	6.9	proof	—	open
51	Geometry	7.0	proof	2020	open
52	Geometry	7.0	proof	—	open
53	Combinatorics	7.1	proof	2020	open
54	Combinatorics	7.1	proof	—	open
55	Algebra	7.1	proof	—	open
56	Algebra	7.5	proof	—	open
57	Algebra	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.