Library /Italian Mathematical Olympiad

Italian Mathematical Olympiad

70 problems here, rated 3.5 to 7.2 on our scale (AMC 10/12 to National Olympiad, round 2). 23 of them ask for a proof.

Algebra 22Combinatorics 17Geometry 18Number theory 13

#	Topic	Diff	Type	Year
1	Geometry	3.5	answer	2003	open
2	Geometry	3.6	answer	2003	open
3	Geometry	3.6	answer	—	open
4	Geometry	3.6	answer	2003	open
5	Combinatorics	3.7	answer	—	open
6	Number theory	3.8	answer	—	open
7	Number theory	3.8	answer	—	open
8	Algebra	3.8	answer	—	open
9	Algebra	3.9	answer	—	open
10	Algebra	4.0	answer	—	open
11	Algebra	4.2	answer	—	open
12	Geometry	4.3	answer	—	open
13	Geometry	4.3	answer	2003	open
14	Algebra	4.3	answer	—	open
15	Algebra	4.4	answer	—	open
16	Algebra	4.4	answer	—	open
17	Algebra	4.4	answer	—	open
18	Number theory	4.5	answer	2003	open
19	Combinatorics	4.5	answer	—	open
20	Algebra	4.6	proof	—	open
21	Algebra	4.6	proof	—	open
22	Algebra	4.6	proof	2003	open
23	Combinatorics	4.6	answer	—	open
24	Combinatorics	4.7	answer	—	open
25	Algebra	4.7	answer	—	open
26	Geometry	4.7	answer	—	open
27	Geometry	4.7	proof	—	open
28	Algebra	4.7	answer	—	open
29	Algebra	4.8	answer	2003	open
30	Algebra	4.8	answer	—	open
31	Algebra	4.8	answer	—	open
32	Algebra	4.8	answer	—	open
33	Algebra	4.8	answer	—	open
34	Geometry	4.8	proof	—	open
35	Combinatorics	5.0	answer	—	open
36	Number theory	5.0	proof	—	open
37	Combinatorics	5.2	answer	—	open
38	Geometry	5.2	answer	—	open
39	Number theory	5.2	answer	—	open
40	Combinatorics	5.2	answer	—	open
41	Combinatorics	5.3	proof	—	open
42	Geometry	5.3	answer	—	open
43	Number theory	5.3	answer	2003	open
44	Number theory	5.3	answer	—	open
45	Number theory	5.3	proof	—	open
46	Number theory	5.4	proof	—	open
47	Algebra	5.4	answer	2003	open
48	Geometry	5.4	proof	2003	open
49	Combinatorics	5.4	answer	—	open
50	Algebra	5.5	answer	—	open
51	Combinatorics	5.6	proof	—	open
52	Combinatorics	5.7	answer	—	open
53	Number theory	5.7	proof	—	open
54	Combinatorics	5.7	answer	—	open
55	Number theory	5.8	proof	—	open
56	Geometry	5.8	answer	2003	open
57	Geometry	5.8	answer	2003	open
58	Combinatorics	5.8	answer	2003	open
59	Geometry	6.0	answer	—	open
60	Combinatorics	6.2	proof	2003	open
61	Number theory	6.2	proof	—	open
62	Combinatorics	6.2	proof	—	open
63	Combinatorics	6.3	proof	—	open
64	Geometry	6.5	proof	—	open
65	Geometry	6.5	proof	—	open
66	Geometry	6.6	proof	—	open
67	Algebra	6.7	proof	—	open
68	Algebra	6.7	proof	2003	open
69	Combinatorics	6.8	answer	—	open
70	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.