Maths Olympiad Prep

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Italy competition problems

24 problems here, rated 4.7 to 7.5 on our scale (AIME to National Olympiad, round 2). 24 of them ask for a proof.

Algebra 7Combinatorics 5Geometry 9Number theory 3
#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 Number theory 6.0 proof — open
9 Geometry 6.2 proof — open
10 Number theory 6.2 proof — open
11 Algebra 6.3 proof — open
12 Combinatorics 6.5 proof — open
13 Geometry 6.7 proof — open
14 Algebra 6.7 proof — open
15 Algebra 6.8 proof — open
16 Combinatorics 6.8 proof — open
17 Combinatorics 6.9 proof — open
18 Geometry 6.9 proof — open
19 Combinatorics 6.9 proof — open
20 Combinatorics 7.0 proof — open
21 Geometry 7.0 proof — open
22 Algebra 7.1 proof — open
23 Algebra 7.5 proof — open
24 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.