Maths Olympiad Prep

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Bulgarian Mathematical Olympiad

62 problems here, rated 4.7 to 6.8 on our scale (AIME to National Olympiad). 62 of them ask for a proof.

Algebra 19Combinatorics 11Geometry 18Number theory 14
#TopicDiffTypeYear
1 Geometry 4.7 proof — open
2 Algebra 4.9 proof — open
3 Number theory 5.0 proof — open
4 Combinatorics 5.1 proof — open
5 Algebra 5.1 proof — open
6 Geometry 5.1 proof — open
7 Algebra 5.2 proof — open
8 Geometry 5.2 proof — open
9 Geometry 5.3 proof — open
10 Geometry 5.3 proof — open
11 Geometry 5.3 proof — open
12 Algebra 5.3 proof — open
13 Number theory 5.3 proof — open
14 Algebra 5.3 proof — open
15 Number theory 5.4 proof — open
16 Combinatorics 5.5 proof — open
17 Algebra 5.6 proof — open
18 Algebra 5.6 proof — open
19 Combinatorics 5.7 proof — open
20 Algebra 5.7 proof — open
21 Algebra 5.7 proof — open
22 Geometry 5.8 proof — open
23 Geometry 5.8 proof — open
24 Algebra 5.8 proof — open
25 Combinatorics 5.9 proof — open
26 Number theory 5.9 proof — open
27 Geometry 5.9 proof — open
28 Number theory 6.0 proof — open
29 Number theory 6.1 proof — open
30 Algebra 6.1 proof — open
31 Algebra 6.1 proof — open
32 Geometry 6.1 proof — open
33 Geometry 6.1 proof — open
34 Algebra 6.1 proof — open
35 Geometry 6.1 proof — open
36 Geometry 6.1 proof — open
37 Algebra 6.1 proof — open
38 Number theory 6.1 proof — open
39 Combinatorics 6.1 proof — open
40 Number theory 6.1 proof — open
41 Algebra 6.1 proof — open
42 Geometry 6.1 proof — open
43 Combinatorics 6.2 proof — open
44 Algebra 6.2 proof — open
45 Number theory 6.2 proof — open
46 Geometry 6.2 proof — open
47 Number theory 6.3 proof — open
48 Geometry 6.3 proof — open
49 Combinatorics 6.3 proof — open
50 Algebra 6.3 proof — open
51 Number theory 6.3 proof — open
52 Combinatorics 6.3 proof — open
53 Number theory 6.4 proof — open
54 Number theory 6.4 proof — open
55 Algebra 6.4 proof — open
56 Combinatorics 6.5 proof — open
57 Combinatorics 6.6 proof — open
58 Number theory 6.6 proof — open
59 Algebra 6.8 proof — open
60 Geometry 6.8 proof — open
61 Combinatorics 6.8 proof — open
62 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.