Maths Olympiad Prep

Library /Italian Mathematical Olympiad

Italian Mathematical Olympiad

65 problems here, rated 3.5 to 7.2 on our scale (AMC 10/12 to National Olympiad, round 2). 16 of them ask for a proof.

Algebra 22Combinatorics 14Geometry 15Number theory 14
#TopicDiffTypeYear
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 Number theory 6.1 answer — open
62 Combinatorics 6.3 proof — open
63 Algebra 6.7 proof — open
64 Combinatorics 6.8 answer — open
65 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.