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Library /Ukrainian National Mathematical Olympiad, 4th Round

Ukrainian National Mathematical Olympiad, 4th Round

22 problems here, rated 4.8 to 7 on our scale (AIME to National Olympiad, round 2). 22 of them ask for a proof.

Algebra 10Combinatorics 3Geometry 5Number theory 4
#TopicDiffTypeYear
1 Algebra 4.8 proof — open
2 Algebra 4.9 proof — open
3 Algebra 4.9 proof — open
4 Algebra 5.0 proof — open
5 Algebra 5.0 proof — open
6 Number theory 5.0 proof — open
7 Algebra 5.1 proof — open
8 Geometry 5.3 proof — open
9 Algebra 5.3 proof — open
10 Algebra 5.4 proof — open
11 Number theory 5.5 proof — open
12 Geometry 5.6 proof — open
13 Combinatorics 5.7 proof — open
14 Geometry 5.7 proof — open
15 Number theory 5.8 proof — open
16 Number theory 5.8 proof — open
17 Geometry 5.9 proof — open
18 Algebra 5.9 proof — open
19 Algebra 6.0 proof — open
20 Combinatorics 6.0 proof — open
21 Combinatorics 6.4 proof — open
22 Geometry 7.0 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.