Maths Olympiad Prep

Library /Bulgaria competition problems

Bulgaria competition problems

44 problems here, rated 4.6 to 7.4 on our scale (AIME to National Olympiad, round 2). 44 of them ask for a proof.

Algebra 7Combinatorics 14Geometry 15Number theory 8
#TopicDiffTypeYear
1 Algebra 4.6 proof — open
2 Algebra 4.7 proof — open
3 Geometry 4.8 proof 2022 open
4 Algebra 4.8 proof 2022 open
5 Geometry 4.8 proof 2022 open
6 Geometry 4.9 proof — open
7 Number theory 5.0 proof 2022 open
8 Number theory 5.0 proof — open
9 Combinatorics 5.2 proof 2022 open
10 Number theory 5.3 proof 2022 open
11 Geometry 5.3 proof 2022 open
12 Number theory 5.4 proof 2022 open
13 Geometry 5.8 proof 2022 open
14 Geometry 5.8 proof 2022 open
15 Algebra 5.9 proof 2022 open
16 Combinatorics 6.0 proof — open
17 Combinatorics 6.0 proof 2022 open
18 Geometry 6.0 proof 2022 open
19 Algebra 6.0 proof 2022 open
20 Geometry 6.0 proof 2022 open
21 Geometry 6.0 proof — open
22 Combinatorics 6.1 proof — open
23 Geometry 6.1 proof — open
24 Number theory 6.1 proof 2022 open
25 Combinatorics 6.1 proof 2022 open
26 Number theory 6.3 proof 2022 open
27 Geometry 6.3 proof — open
28 Geometry 6.3 proof 2022 open
29 Combinatorics 6.3 proof 2022 open
30 Number theory 6.5 proof — open
31 Geometry 6.6 proof 2022 open
32 Combinatorics 6.6 proof 2022 open
33 Combinatorics 6.6 proof 2022 open
34 Geometry 6.6 proof 2022 open
35 Geometry 6.7 proof 2022 open
36 Combinatorics 6.7 proof 2022 open
37 Algebra 6.7 proof 2022 open
38 Combinatorics 6.9 proof 2022 open
39 Number theory 7.0 proof 2022 open
40 Combinatorics 7.2 proof — open
41 Algebra 7.3 proof 2022 open
42 Combinatorics 7.3 proof 2022 open
43 Combinatorics 7.4 proof 2022 open
44 Combinatorics 7.4 proof 2022 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.