Maths Olympiad Prep

Library /Junior Balkan MO

Junior Balkan MO

53 problems here, rated 4.7 to 7.2 on our scale (AIME to National Olympiad, round 2). 20 of them ask for a proof.

Algebra 14Combinatorics 7Geometry 15Number theory 17
#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 Number theory 5.0 answer — open
8 Geometry 5.2 answer — open
9 Geometry 5.2 answer — open
10 Number theory 5.2 answer — open
11 Algebra 5.3 answer — open
12 Geometry 5.3 answer — open
13 Algebra 5.4 answer — open
14 Algebra 5.4 answer — open
15 Algebra 5.4 answer — open
16 Number theory 5.5 answer — open
17 Number theory 5.5 proof — open
18 Geometry 5.5 answer — open
19 Number theory 5.5 answer — open
20 Geometry 5.5 answer — open
21 Number theory 5.5 proof — open
22 Number theory 5.5 answer — open
23 Number theory 5.6 proof — open
24 Geometry 5.6 answer — open
25 Number theory 5.6 answer — open
26 Algebra 5.7 answer — open
27 Number theory 5.7 answer — open
28 Geometry 5.7 answer — open
29 Geometry 5.7 answer — open
30 Number theory 5.7 answer — open
31 Number theory 5.7 proof — open
32 Geometry 5.7 answer — open
33 Algebra 5.7 answer — open
34 Algebra 5.9 answer — open
35 Geometry 6.1 proof — open
36 Combinatorics 6.1 proof — open
37 Number theory 6.1 proof — open
38 Combinatorics 6.2 answer — open
39 Combinatorics 6.3 answer — open
40 Number theory 6.4 proof — open
41 Geometry 6.5 proof — open
42 Geometry 6.7 proof — open
43 Combinatorics 6.7 proof — open
44 Algebra 6.7 proof — open
45 Combinatorics 6.7 answer — open
46 Combinatorics 6.8 answer — open
47 Algebra 6.8 proof — open
48 Geometry 6.8 proof — open
49 Geometry 6.9 proof — open
50 Number theory 7.0 proof — open
51 Algebra 7.1 proof — open
52 Geometry 7.1 proof — open
53 Combinatorics 7.2 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.