Maths Olympiad Prep

Library /Junior Balkan Mathematical Olympiad

Junior Balkan Mathematical Olympiad

95 problems here, rated 4.3 to 7.7 on our scale (AIME to National Olympiad, round 2). 95 of them ask for a proof.

Algebra 28Combinatorics 19Geometry 25Number theory 23
#TopicDiffTypeYear
1 Geometry 4.3 proof — open
2 Algebra 4.5 proof — open
3 Geometry 4.6 proof — open
4 Geometry 4.7 proof — open
5 Number theory 4.7 proof — open
6 Number theory 4.8 proof — open
7 Algebra 4.9 proof — open
8 Number theory 4.9 proof — open
9 Combinatorics 4.9 proof — open
10 Geometry 4.9 proof — open
11 Algebra 4.9 proof — open
12 Algebra 4.9 proof — open
13 Algebra 5.0 proof — open
14 Algebra 5.0 proof — open
15 Number theory 5.0 proof — open
16 Combinatorics 5.0 proof — open
17 Algebra 5.0 proof — open
18 Geometry 5.1 proof — open
19 Combinatorics 5.1 proof — open
20 Combinatorics 5.2 proof — open
21 Algebra 5.2 proof — open
22 Number theory 5.2 proof — open
23 Algebra 5.2 proof — open
24 Number theory 5.3 proof — open
25 Algebra 5.3 proof — open
26 Algebra 5.4 proof — open
27 Number theory 5.4 proof — open
28 Number theory 5.4 proof — open
29 Combinatorics 5.5 proof — open
30 Geometry 5.5 proof — open
31 Number theory 5.5 proof — open
32 Number theory 5.5 proof — open
33 Geometry 5.6 proof — open
34 Algebra 5.6 proof — open
35 Algebra 5.6 proof — open
36 Combinatorics 5.6 proof — open
37 Algebra 5.6 proof — open
38 Geometry 5.6 proof — open
39 Number theory 5.6 proof — open
40 Number theory 5.6 proof — open
41 Combinatorics 5.7 proof — open
42 Algebra 5.8 proof — open
43 Algebra 5.8 proof — open
44 Number theory 5.8 proof — open
45 Number theory 5.8 proof — open
46 Algebra 5.9 proof — open
47 Geometry 5.9 proof — open
48 Algebra 5.9 proof — open
49 Algebra 5.9 proof — open
50 Number theory 5.9 proof — open
51 Number theory 6.0 proof — open
52 Algebra 6.0 proof — open
53 Algebra 6.0 proof — open
54 Algebra 6.1 proof — open
55 Geometry 6.1 proof — open
56 Geometry 6.1 proof — open
57 Number theory 6.1 proof — open
58 Number theory 6.1 proof — open
59 Geometry 6.1 proof — open
60 Algebra 6.2 proof — open
61 Number theory 6.2 proof — open
62 Geometry 6.2 proof — open
63 Geometry 6.2 proof — open
64 Geometry 6.2 proof — open
65 Geometry 6.3 proof — open
66 Algebra 6.3 proof — open
67 Geometry 6.3 proof — open
68 Algebra 6.3 proof — open
69 Number theory 6.4 proof — open
70 Algebra 6.4 proof — open
71 Combinatorics 6.4 proof — open
72 Combinatorics 6.4 proof — open
73 Geometry 6.5 proof — open
74 Geometry 6.5 proof — open
75 Combinatorics 6.5 proof — open
76 Geometry 6.6 proof — open
77 Geometry 6.6 proof — open
78 Geometry 6.6 proof — open
79 Combinatorics 6.6 proof — open
80 Combinatorics 6.6 proof — open
81 Combinatorics 6.7 proof — open
82 Combinatorics 6.7 proof — open
83 Combinatorics 6.9 proof — open
84 Number theory 6.9 proof — open
85 Number theory 7.0 proof — open
86 Geometry 7.0 proof — open
87 Algebra 7.0 proof — open
88 Number theory 7.0 proof — open
89 Combinatorics 7.0 proof — open
90 Geometry 7.1 proof — open
91 Combinatorics 7.2 proof — open
92 Combinatorics 7.2 proof — open
93 Algebra 7.3 proof — open
94 Geometry 7.6 proof — open
95 Combinatorics 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.