Maths Olympiad Prep

Library /Ukrainian National Mathematical Olympiad - Third Round

Ukrainian National Mathematical Olympiad - Third Round

17 problems here, rated 4.7 to 7 on our scale (AIME to National Olympiad, round 2). 17 of them ask for a proof.

Algebra 6Combinatorics 3Geometry 6Number theory 2
#TopicDiffTypeYear
1 Algebra 4.7 proof — open
2 Algebra 4.8 proof — open
3 Algebra 4.9 proof — open
4 Algebra 5.0 proof — open
5 Algebra 5.0 proof — open
6 Number theory 5.1 proof — open
7 Combinatorics 5.2 proof — open
8 Combinatorics 5.3 proof — open
9 Number theory 5.3 proof — open
10 Geometry 5.3 proof — open
11 Algebra 5.3 proof — open
12 Geometry 5.5 proof — open
13 Geometry 5.7 proof — open
14 Geometry 5.7 proof — open
15 Geometry 5.8 proof — open
16 Combinatorics 6.3 proof — open
17 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.