Maths Olympiad Prep

Library /Belarus — Final Round

Belarus — Final Round

32 problems here, rated 5.2 to 7.4 on our scale (AIME, harder to National Olympiad, round 2). 32 of them ask for a proof.

Algebra 9Combinatorics 5Geometry 11Number theory 7
#TopicDiffTypeYear
1 Algebra 5.2 proof — open
2 Number theory 5.2 proof — open
3 Algebra 5.4 proof — open
4 Geometry 5.4 proof — open
5 Number theory 5.5 proof — open
6 Geometry 5.5 proof — open
7 Number theory 5.6 proof — open
8 Geometry 5.7 proof — open
9 Geometry 5.7 proof — open
10 Algebra 5.7 proof — open
11 Algebra 5.8 proof — open
12 Algebra 5.9 proof — open
13 Number theory 5.9 proof — open
14 Geometry 6.0 proof — open
15 Geometry 6.1 proof — open
16 Number theory 6.1 proof — open
17 Algebra 6.1 proof — open
18 Combinatorics 6.1 proof — open
19 Algebra 6.2 proof — open
20 Algebra 6.4 proof — open
21 Number theory 6.5 proof — open
22 Geometry 6.5 proof — open
23 Geometry 6.6 proof — open
24 Number theory 6.7 proof — open
25 Geometry 6.7 proof — open
26 Geometry 6.8 proof — open
27 Algebra 6.8 proof — open
28 Geometry 7.0 proof — open
29 Combinatorics 7.1 proof — open
30 Combinatorics 7.3 proof — open
31 Combinatorics 7.3 proof — open
32 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.