Maths Olympiad Prep

Library /Bulgaria competition problems

Bulgaria competition problems

49 problems here, rated 4.6 to 7.4 on our scale (AIME to National Olympiad, round 2). 49 of them ask for a proof.

Algebra 8Combinatorics 17Geometry 15Number theory 9
#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 open
10 Combinatorics 5.2 proof 2022 open
11 Number theory 5.3 proof 2022 open
12 Geometry 5.3 proof 2022 open
13 Number theory 5.4 proof 2022 open
14 Geometry 5.8 proof 2022 open
15 Geometry 5.8 proof 2022 open
16 Algebra 5.9 proof 2022 open
17 Combinatorics 6.0 proof open
18 Combinatorics 6.0 proof 2022 open
19 Geometry 6.0 proof 2022 open
20 Algebra 6.0 proof 2022 open
21 Geometry 6.0 proof 2022 open
22 Geometry 6.0 proof open
23 Combinatorics 6.1 proof open
24 Geometry 6.1 proof open
25 Number theory 6.1 proof 2022 open
26 Combinatorics 6.1 proof 2022 open
27 Number theory 6.3 proof 2022 open
28 Algebra 6.3 proof 2022 open
29 Geometry 6.3 proof open
30 Geometry 6.3 proof 2022 open
31 Combinatorics 6.3 proof 2022 open
32 Number theory 6.5 proof open
33 Geometry 6.6 proof 2022 open
34 Combinatorics 6.6 proof 2022 open
35 Combinatorics 6.6 proof 2022 open
36 Number theory 6.6 proof 2022 open
37 Geometry 6.6 proof 2022 open
38 Geometry 6.7 proof 2022 open
39 Combinatorics 6.7 proof 2022 open
40 Combinatorics 6.7 proof 2022 open
41 Algebra 6.7 proof 2022 open
42 Combinatorics 6.9 proof 2022 open
43 Number theory 7.0 proof 2022 open
44 Combinatorics 7.0 proof 2022 open
45 Combinatorics 7.2 proof open
46 Algebra 7.3 proof 2022 open
47 Combinatorics 7.3 proof 2022 open
48 Combinatorics 7.4 proof 2022 open
49 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.