Maths Olympiad Prep

Library /Italy competition problems

Italy competition problems

21 problems here, rated 4.7 to 7.5 on our scale (AIME to National Olympiad, round 2). 21 of them ask for a proof.

Algebra 6Combinatorics 4Geometry 9Number theory 2
#TopicDiffTypeYear
1 Geometry 4.7 proof — open
2 Number theory 5.1 proof — open
3 Geometry 5.2 proof — open
4 Geometry 5.5 proof — open
5 Geometry 5.6 proof — open
6 Geometry 6.0 proof — open
7 Algebra 6.0 proof — open
8 Geometry 6.2 proof — open
9 Number theory 6.2 proof — open
10 Algebra 6.3 proof — open
11 Combinatorics 6.5 proof — open
12 Geometry 6.7 proof — open
13 Algebra 6.7 proof — open
14 Algebra 6.8 proof — open
15 Combinatorics 6.8 proof — open
16 Combinatorics 6.9 proof — open
17 Geometry 6.9 proof — open
18 Combinatorics 6.9 proof — open
19 Geometry 7.0 proof — open
20 Algebra 7.1 proof — open
21 Algebra 7.5 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.