Library /Olimpiade Italiana di Matematica

Olimpiade Italiana di Matematica

41 problems here, rated 4.6 to 7.7 on our scale (AIME to National Olympiad, round 2). 41 of them ask for a proof.

Algebra 6Combinatorics 11Geometry 13Number theory 11

#	Topic	Diff	Type	Year
1	Geometry	4.6	proof	—	open
2	Number theory	5.2	proof	—	open
3	Geometry	5.4	proof	—	open
4	Geometry	5.4	proof	—	open
5	Geometry	5.4	proof	—	open
6	Number theory	5.5	proof	—	open
7	Number theory	5.6	proof	—	open
8	Combinatorics	5.7	proof	—	open
9	Combinatorics	5.7	proof	—	open
10	Geometry	5.7	proof	—	open
11	Number theory	5.9	proof	—	open
12	Number theory	5.9	proof	—	open
13	Number theory	6.0	proof	—	open
14	Number theory	6.0	proof	—	open
15	Number theory	6.1	proof	—	open
16	Geometry	6.2	proof	—	open
17	Geometry	6.2	proof	—	open
18	Number theory	6.3	proof	—	open
19	Geometry	6.3	proof	—	open
20	Algebra	6.6	proof	—	open
21	Combinatorics	6.6	proof	—	open
22	Algebra	6.6	proof	—	open
23	Combinatorics	6.6	proof	—	open
24	Algebra	6.7	proof	—	open
25	Geometry	6.8	proof	—	open
26	Combinatorics	6.8	proof	—	open
27	Combinatorics	6.8	proof	—	open
28	Geometry	7.0	proof	—	open
29	Geometry	7.0	proof	—	open
30	Number theory	7.0	proof	—	open
31	Combinatorics	7.1	proof	—	open
32	Combinatorics	7.1	proof	—	open
33	Number theory	7.3	proof	—	open
34	Combinatorics	7.4	proof	—	open
35	Algebra	7.4	proof	—	open
36	Algebra	7.4	proof	—	open
37	Geometry	7.5	proof	—	open
38	Algebra	7.5	proof	—	open
39	Combinatorics	7.5	proof	—	open
40	Combinatorics	7.5	proof	—	open
41	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.