Maths Olympiad Prep

Library /Junior Balkan MO

Junior Balkan MO

51 problems here, rated 4.7 to 7.4 on our scale (AIME to National Olympiad, round 2). 19 of them ask for a proof.

Algebra 14Combinatorics 7Geometry 17Number theory 13
#TopicDiffTypeYear
1 Number theory 4.7 answer — open
2 Algebra 4.8 proof — open
3 Algebra 4.9 answer — open
4 Number theory 5.0 answer — open
5 Algebra 5.0 answer — open
6 Algebra 5.0 answer — open
7 Geometry 5.2 answer — open
8 Geometry 5.2 answer — open
9 Number theory 5.2 answer — open
10 Algebra 5.3 answer — open
11 Geometry 5.3 answer — open
12 Algebra 5.4 answer — open
13 Algebra 5.4 answer — open
14 Algebra 5.4 answer — open
15 Number theory 5.5 answer — open
16 Geometry 5.5 answer — open
17 Number theory 5.5 answer — open
18 Geometry 5.5 answer — open
19 Number theory 5.5 proof — open
20 Number theory 5.5 answer — open
21 Number theory 5.6 proof — open
22 Geometry 5.6 answer — open
23 Number theory 5.6 answer — open
24 Algebra 5.7 answer — open
25 Number theory 5.7 answer — open
26 Geometry 5.7 answer — open
27 Geometry 5.7 answer — open
28 Number theory 5.7 answer — open
29 Number theory 5.7 proof — open
30 Geometry 5.7 answer — open
31 Algebra 5.7 answer — open
32 Algebra 5.9 answer — open
33 Geometry 6.1 proof — open
34 Combinatorics 6.2 answer — open
35 Combinatorics 6.3 answer — open
36 Geometry 6.5 proof — open
37 Geometry 6.7 proof — open
38 Combinatorics 6.7 proof — open
39 Algebra 6.7 proof — open
40 Combinatorics 6.7 answer — open
41 Combinatorics 6.8 answer — open
42 Algebra 6.8 proof — open
43 Geometry 6.8 proof — open
44 Geometry 6.9 proof — open
45 Number theory 7.0 proof — open
46 Algebra 7.1 proof — open
47 Geometry 7.1 proof — open
48 Combinatorics 7.2 proof — open
49 Geometry 7.3 proof — open
50 Combinatorics 7.4 proof — open
51 Geometry 7.4 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.