Library /Italian Mathematical Olympiad

Italian Mathematical Olympiad

75 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 23Combinatorics 18Geometry 19Number theory 15

#	Topic	Diff	Type	Year
1	Geometry	3.5	answer	2003	open
2	Geometry	3.6	answer	—	open
3	Geometry	3.6	answer	2003	open
4	Geometry	3.6	answer	—	open
5	Geometry	3.6	answer	2003	open
6	Combinatorics	3.7	answer	—	open
7	Number theory	3.8	answer	—	open
8	Number theory	3.8	answer	—	open
9	Algebra	3.8	answer	—	open
10	Algebra	3.8	answer	—	open
11	Algebra	3.9	answer	—	open
12	Number theory	4.0	answer	—	open
13	Algebra	4.0	answer	—	open
14	Algebra	4.2	answer	—	open
15	Geometry	4.3	answer	—	open
16	Geometry	4.3	answer	2003	open
17	Algebra	4.3	answer	—	open
18	Algebra	4.4	answer	—	open
19	Algebra	4.4	answer	—	open
20	Algebra	4.4	answer	—	open
21	Number theory	4.5	answer	2003	open
22	Combinatorics	4.5	answer	—	open
23	Algebra	4.6	proof	—	open
24	Algebra	4.6	proof	—	open
25	Algebra	4.6	proof	2003	open
26	Combinatorics	4.6	answer	—	open
27	Combinatorics	4.7	answer	—	open
28	Algebra	4.7	answer	—	open
29	Geometry	4.7	answer	—	open
30	Geometry	4.7	proof	—	open
31	Algebra	4.7	answer	—	open
32	Algebra	4.8	answer	2003	open
33	Algebra	4.8	answer	—	open
34	Algebra	4.8	answer	—	open
35	Algebra	4.8	answer	—	open
36	Algebra	4.8	answer	—	open
37	Geometry	4.8	proof	—	open
38	Combinatorics	5.0	answer	—	open
39	Number theory	5.0	proof	—	open
40	Combinatorics	5.2	answer	—	open
41	Geometry	5.2	answer	—	open
42	Number theory	5.2	answer	—	open
43	Combinatorics	5.2	answer	—	open
44	Combinatorics	5.3	proof	—	open
45	Geometry	5.3	answer	—	open
46	Number theory	5.3	answer	2003	open
47	Number theory	5.3	answer	—	open
48	Number theory	5.3	proof	—	open
49	Number theory	5.4	proof	—	open
50	Algebra	5.4	answer	2003	open
51	Geometry	5.4	proof	2003	open
52	Combinatorics	5.4	answer	—	open
53	Algebra	5.5	answer	—	open
54	Combinatorics	5.6	proof	—	open
55	Combinatorics	5.7	answer	—	open
56	Number theory	5.7	proof	—	open
57	Combinatorics	5.7	answer	—	open
58	Number theory	5.8	proof	—	open
59	Geometry	5.8	answer	2003	open
60	Geometry	5.8	answer	2003	open
61	Combinatorics	5.8	answer	—	open
62	Combinatorics	5.8	answer	2003	open
63	Geometry	6.0	answer	—	open
64	Number theory	6.1	answer	—	open
65	Combinatorics	6.2	proof	2003	open
66	Number theory	6.2	proof	—	open
67	Combinatorics	6.2	proof	—	open
68	Combinatorics	6.3	proof	—	open
69	Geometry	6.5	proof	—	open
70	Geometry	6.5	proof	—	open
71	Geometry	6.6	proof	—	open
72	Algebra	6.7	proof	—	open
73	Algebra	6.7	proof	2003	open
74	Combinatorics	6.8	answer	—	open
75	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.