Maths Olympiad Prep

Library /Russia — Final Round

Russia — Final Round

26 problems here, rated 5.4 to 7.7 on our scale (AIME, harder to National Olympiad, round 2). 26 of them ask for a proof.

Algebra 4Combinatorics 6Geometry 12Number theory 4
#TopicDiffTypeYear
1 Geometry 5.4 proof — open
2 Geometry 5.5 proof — open
3 Algebra 5.7 proof — open
4 Geometry 5.9 proof — open
5 Algebra 5.9 proof — open
6 Number theory 6.0 proof — open
7 Number theory 6.2 proof — open
8 Number theory 6.3 proof — open
9 Geometry 6.4 proof — open
10 Geometry 6.5 proof — open
11 Algebra 6.5 proof — open
12 Number theory 6.5 proof — open
13 Geometry 6.7 proof — open
14 Geometry 6.7 proof — open
15 Geometry 6.8 proof — open
16 Combinatorics 6.8 proof — open
17 Geometry 6.9 proof — open
18 Algebra 7.0 proof — open
19 Combinatorics 7.0 proof — open
20 Geometry 7.1 proof — open
21 Combinatorics 7.1 proof — open
22 Combinatorics 7.2 proof — open
23 Combinatorics 7.6 proof — open
24 Geometry 7.7 proof — open
25 Combinatorics 7.7 proof — open
26 Geometry 7.7 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.