Maths Olympiad Prep

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Bulgarian Mathematical Olympiad

58 problems here, rated 4.7 to 6.8 on our scale (AIME to National Olympiad). 58 of them ask for a proof.

Algebra 18Combinatorics 11Geometry 17Number theory 12
#TopicDiffTypeYear
1 Geometry 4.7 proof — open
2 Algebra 4.9 proof — open
3 Combinatorics 5.1 proof — open
4 Algebra 5.1 proof — open
5 Geometry 5.1 proof — open
6 Algebra 5.2 proof — open
7 Geometry 5.2 proof — open
8 Geometry 5.3 proof — open
9 Geometry 5.3 proof — open
10 Geometry 5.3 proof — open
11 Algebra 5.3 proof — open
12 Number theory 5.3 proof — open
13 Algebra 5.3 proof — open
14 Number theory 5.4 proof — open
15 Combinatorics 5.5 proof — open
16 Algebra 5.6 proof — open
17 Algebra 5.6 proof — open
18 Combinatorics 5.7 proof — open
19 Algebra 5.7 proof — open
20 Algebra 5.7 proof — open
21 Geometry 5.8 proof — open
22 Geometry 5.8 proof — open
23 Combinatorics 5.9 proof — open
24 Number theory 5.9 proof — open
25 Geometry 5.9 proof — open
26 Number theory 6.1 proof — open
27 Algebra 6.1 proof — open
28 Algebra 6.1 proof — open
29 Geometry 6.1 proof — open
30 Algebra 6.1 proof — open
31 Geometry 6.1 proof — open
32 Algebra 6.1 proof — open
33 Number theory 6.1 proof — open
34 Combinatorics 6.1 proof — open
35 Number theory 6.1 proof — open
36 Algebra 6.1 proof — open
37 Geometry 6.1 proof — open
38 Combinatorics 6.2 proof — open
39 Algebra 6.2 proof — open
40 Number theory 6.2 proof — open
41 Geometry 6.2 proof — open
42 Number theory 6.3 proof — open
43 Geometry 6.3 proof — open
44 Combinatorics 6.3 proof — open
45 Algebra 6.3 proof — open
46 Number theory 6.3 proof — open
47 Combinatorics 6.3 proof — open
48 Number theory 6.4 proof — open
49 Number theory 6.4 proof — open
50 Algebra 6.4 proof — open
51 Combinatorics 6.5 proof — open
52 Geometry 6.5 proof — open
53 Combinatorics 6.6 proof — open
54 Number theory 6.6 proof — open
55 Algebra 6.8 proof — open
56 Combinatorics 6.8 proof — open
57 Geometry 6.8 proof — open
58 Geometry 6.8 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.