Maths Olympiad Prep

Library /The Problems of Ukrainian Authors

The Problems of Ukrainian Authors

38 problems here, rated 3.9 to 7.2 on our scale (AMC 10/12 to National Olympiad, round 2). 37 of them ask for a proof.

Algebra 11Combinatorics 6Geometry 12Number theory 9
#TopicDiffTypeYear
1 Algebra 3.9 answer — open
2 Number theory 4.6 proof — open
3 Algebra 4.7 proof — open
4 Algebra 4.7 proof — open
5 Geometry 4.8 proof — open
6 Number theory 4.9 proof — open
7 Algebra 5.0 proof — open
8 Algebra 5.0 proof — open
9 Geometry 5.1 proof — open
10 Geometry 5.1 proof — open
11 Combinatorics 5.2 proof — open
12 Geometry 5.2 proof — open
13 Number theory 5.2 proof — open
14 Number theory 5.3 proof — open
15 Algebra 5.3 proof — open
16 Geometry 5.4 proof — open
17 Geometry 5.4 proof — open
18 Geometry 5.5 proof — open
19 Number theory 5.6 proof — open
20 Geometry 5.7 proof — open
21 Geometry 5.7 proof — open
22 Geometry 5.8 proof — open
23 Number theory 5.8 proof — open
24 Geometry 5.9 proof — open
25 Algebra 6.1 proof — open
26 Number theory 6.2 proof — open
27 Geometry 6.3 proof — open
28 Algebra 6.3 proof — open
29 Algebra 6.5 proof — open
30 Combinatorics 6.6 proof — open
31 Combinatorics 6.7 proof — open
32 Combinatorics 6.7 proof — open
33 Number theory 6.7 proof — open
34 Algebra 6.7 proof — open
35 Algebra 6.8 proof — open
36 Number theory 7.0 proof — open
37 Combinatorics 7.0 proof — open
38 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.