Maths Olympiad Prep

Library /Baltic Way competition problems

Baltic Way competition problems

48 problems here, rated 4.3 to 7.7 on our scale (AIME to National Olympiad, round 2). 48 of them ask for a proof. Years covered: 1992–2020.

Algebra 8Combinatorics 19Geometry 13Number theory 8
#TopicDiffTypeYear
1 Algebra 4.3 proof — open
2 Algebra 4.3 proof 2016 open
3 Geometry 4.3 proof 1992 open
4 Geometry 4.4 proof — open
5 Geometry 4.4 proof — open
6 Algebra 4.4 proof — open
7 Number theory 4.5 proof — open
8 Geometry 4.5 proof — open
9 Combinatorics 4.5 proof 1997 open
10 Algebra 4.5 proof 1992 open
11 Geometry 4.7 proof — open
12 Algebra 4.8 proof 1992 open
13 Geometry 4.9 proof 2005 open
14 Number theory 4.9 proof 2016 open
15 Number theory 5.1 proof — open
16 Algebra 5.1 proof — open
17 Combinatorics 5.1 proof — open
18 Combinatorics 5.2 proof — open
19 Geometry 5.5 proof 1993 open
20 Number theory 5.6 proof 2016 open
21 Geometry 5.7 proof 2013 open
22 Combinatorics 5.7 proof — open
23 Geometry 5.8 proof — open
24 Number theory 5.8 proof 2016 open
25 Number theory 5.8 proof — open
26 Combinatorics 5.9 proof — open
27 Number theory 6.0 proof — open
28 Combinatorics 6.0 proof — open
29 Combinatorics 6.0 proof — open
30 Algebra 6.1 proof 2019 open
31 Combinatorics 6.1 proof — open
32 Geometry 6.1 proof 2005 open
33 Combinatorics 6.1 proof 2013 open
34 Geometry 6.2 proof — open
35 Algebra 6.3 proof 2013 open
36 Combinatorics 6.5 proof 2019 open
37 Combinatorics 6.5 proof 1998 open
38 Combinatorics 6.6 proof — open
39 Combinatorics 6.8 proof 2019 open
40 Combinatorics 6.9 proof 2019 open
41 Combinatorics 7.5 proof 2020 open
42 Combinatorics 7.5 proof 2013 open
43 Combinatorics 7.6 proof 1997 open
44 Geometry 7.6 proof 2020 open
45 Combinatorics 7.6 proof 2016 open
46 Combinatorics 7.6 proof — open
47 Geometry 7.7 proof — open
48 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.