Maths Olympiad Prep

Library /Bulgarian Spring Tournament

Bulgarian Spring Tournament

19 problems here, rated 4.5 to 7.7 on our scale (AIME to National Olympiad, round 2). 19 of them ask for a proof.

Algebra 6Combinatorics 4Geometry 5Number theory 4
#TopicDiffTypeYear
1 Geometry 4.5 proof — open
2 Algebra 4.7 proof — open
3 Algebra 4.8 proof — open
4 Algebra 4.8 proof — open
5 Algebra 4.8 proof — open
6 Number theory 4.9 proof — open
7 Number theory 4.9 proof — open
8 Geometry 5.4 proof — open
9 Geometry 5.5 proof — open
10 Algebra 5.6 proof — open
11 Combinatorics 6.4 proof — open
12 Algebra 6.5 proof — open
13 Combinatorics 6.5 proof — open
14 Geometry 6.5 proof — open
15 Combinatorics 6.6 proof — open
16 Geometry 6.6 proof — open
17 Number theory 6.6 proof — open
18 Combinatorics 6.9 proof — open
19 Number theory 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.