Maths Olympiad Prep

Library /Olimpiade Italiana di Matematica

Olimpiade Italiana di Matematica

36 problems here, rated 4.6 to 7.7 on our scale (AIME to National Olympiad, round 2). 36 of them ask for a proof.

Algebra 5Combinatorics 9Geometry 12Number theory 10
#TopicDiffTypeYear
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 Number theory 5.5 proof — open
6 Number theory 5.6 proof — open
7 Combinatorics 5.7 proof — open
8 Geometry 5.7 proof — open
9 Number theory 5.9 proof — open
10 Number theory 5.9 proof — open
11 Number theory 6.0 proof — open
12 Number theory 6.0 proof — open
13 Number theory 6.1 proof — open
14 Geometry 6.2 proof — open
15 Geometry 6.2 proof — open
16 Geometry 6.3 proof — open
17 Algebra 6.6 proof — open
18 Combinatorics 6.6 proof — open
19 Algebra 6.6 proof — open
20 Algebra 6.7 proof — open
21 Geometry 6.8 proof — open
22 Combinatorics 6.8 proof — open
23 Combinatorics 6.8 proof — open
24 Geometry 7.0 proof — open
25 Geometry 7.0 proof — open
26 Number theory 7.0 proof — open
27 Combinatorics 7.1 proof — open
28 Combinatorics 7.1 proof — open
29 Number theory 7.3 proof — open
30 Combinatorics 7.4 proof — open
31 Algebra 7.4 proof — open
32 Geometry 7.5 proof — open
33 Algebra 7.5 proof — open
34 Combinatorics 7.5 proof — open
35 Combinatorics 7.5 proof — open
36 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.