Maths Olympiad Prep

Library /Baltic Way competition problems

Baltic Way competition problems

45 problems here, rated 4.3 to 7.7 on our scale (AIME to National Olympiad, round 2). 45 of them ask for a proof. Years covered: 1992–2020.

Algebra 8Combinatorics 18Geometry 11Number theory 8
#TopicDiffTypeYear
1 Algebra 4.3 proof — open
2 Algebra 4.3 proof 2016 open
3 Geometry 4.4 proof — open
4 Geometry 4.4 proof — open
5 Algebra 4.4 proof — open
6 Number theory 4.5 proof — open
7 Geometry 4.5 proof — open
8 Combinatorics 4.5 proof 1997 open
9 Algebra 4.5 proof 1992 open
10 Geometry 4.7 proof — open
11 Algebra 4.8 proof 1992 open
12 Geometry 4.9 proof 2005 open
13 Number theory 4.9 proof 2016 open
14 Number theory 5.1 proof — open
15 Algebra 5.1 proof — open
16 Combinatorics 5.1 proof — open
17 Combinatorics 5.2 proof — open
18 Geometry 5.5 proof 1993 open
19 Number theory 5.6 proof 2016 open
20 Geometry 5.7 proof 2013 open
21 Combinatorics 5.7 proof — open
22 Geometry 5.8 proof — open
23 Number theory 5.8 proof 2016 open
24 Number theory 5.8 proof — open
25 Combinatorics 5.9 proof — open
26 Number theory 6.0 proof — open
27 Combinatorics 6.0 proof — open
28 Algebra 6.1 proof 2019 open
29 Combinatorics 6.1 proof — open
30 Geometry 6.1 proof 2005 open
31 Combinatorics 6.1 proof 2013 open
32 Algebra 6.3 proof 2013 open
33 Combinatorics 6.5 proof 2019 open
34 Combinatorics 6.5 proof 1998 open
35 Combinatorics 6.6 proof — open
36 Combinatorics 6.8 proof 2019 open
37 Combinatorics 6.9 proof 2019 open
38 Combinatorics 7.5 proof 2020 open
39 Combinatorics 7.5 proof 2013 open
40 Combinatorics 7.6 proof 1997 open
41 Geometry 7.6 proof 2020 open
42 Combinatorics 7.6 proof 2016 open
43 Combinatorics 7.6 proof — open
44 Geometry 7.7 proof — open
45 Number theory 7.7 proof 2013 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.