Maths Olympiad Prep

Library /Ukrainian National Mathematical Olympiad, Third Round, First Tour

Ukrainian National Mathematical Olympiad, Third Round, First Tour

19 problems here, rated 4.8 to 7.9 on our scale (AIME to National Olympiad, round 2). 19 of them ask for a proof.

Algebra 4Combinatorics 3Geometry 5Number theory 7
#TopicDiffTypeYear
1 Geometry 4.8 proof — open
2 Algebra 4.8 proof — open
3 Algebra 4.9 proof — open
4 Geometry 4.9 proof — open
5 Algebra 5.1 proof — open
6 Number theory 5.1 proof — open
7 Combinatorics 5.2 proof — open
8 Number theory 5.3 proof — open
9 Algebra 5.3 proof — open
10 Geometry 5.4 proof — open
11 Number theory 5.6 proof — open
12 Geometry 5.8 proof — open
13 Number theory 5.8 proof — open
14 Combinatorics 6.0 proof — open
15 Number theory 6.0 proof — open
16 Number theory 6.0 proof — open
17 Geometry 6.0 proof — open
18 Number theory 7.0 proof — open
19 Combinatorics 7.9 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.