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Ukrainian National Mathematical Olympiad - Third Round (Second Tour)

24 problems here, rated 4.9 to 7.4 on our scale (AIME to National Olympiad, round 2). 24 of them ask for a proof.

Algebra 4Combinatorics 8Geometry 8Number theory 4
#TopicDiffTypeYear
1 Algebra 4.5 proof — open
2 Geometry 4.9 proof — open
3 Geometry 4.9 proof — open
4 Geometry 4.9 proof — open
5 Geometry 5.0 proof — open
6 Combinatorics 5.1 proof — open
7 Algebra 5.3 proof — open
8 Number theory 5.3 proof — open
9 Geometry 5.3 proof — open
10 Number theory 5.4 proof — open
11 Number theory 5.4 proof — open
12 Algebra 5.6 proof — open
13 Combinatorics 5.9 proof — open
14 Geometry 6.1 proof — open
15 Number theory 6.2 proof — open
16 Geometry 6.4 proof — open
17 Combinatorics 6.5 proof — open
18 Geometry 6.7 proof — open
19 Combinatorics 6.8 proof — open
20 Combinatorics 6.8 proof — open
21 Algebra 6.9 proof — open
22 Combinatorics 7.0 proof — open
23 Combinatorics 7.1 proof — open
24 Combinatorics 7.4 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.