Maths Olympiad Prep

Library /Final Round of National Olympiad

Final Round of National Olympiad

27 problems here, rated 4.9 to 7.9 on our scale (AIME to National Olympiad, round 2). 26 of them ask for a proof.

Algebra 6Combinatorics 4Geometry 12Number theory 5
#TopicDiffTypeYear
1 Geometry 4.9 proof — open
2 Number theory 4.9 proof — open
3 Algebra 4.9 proof — open
4 Combinatorics 5.0 proof — open
5 Algebra 5.1 proof — open
6 Number theory 5.1 proof — open
7 Combinatorics 5.1 proof — open
8 Geometry 5.3 proof — open
9 Number theory 5.3 proof — open
10 Number theory 5.4 proof — open
11 Geometry 5.5 proof — open
12 Algebra 5.6 proof — open
13 Geometry 5.6 proof — open
14 Algebra 5.9 proof — open
15 Algebra 5.9 proof — open
16 Geometry 6.0 proof — open
17 Geometry 6.0 proof — open
18 Geometry 6.0 proof — open
19 Geometry 6.1 proof — open
20 Geometry 6.2 proof — open
21 Algebra 6.3 answer — open
22 Geometry 6.7 proof — open
23 Combinatorics 6.7 proof — open
24 Number theory 6.7 proof — open
25 Geometry 6.8 proof — open
26 Geometry 7.5 proof — open
27 Combinatorics 7.9 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.