Maths Olympiad Prep

Library /National Math Olympiad – Final Round

National Math Olympiad – Final Round

17 problems here, rated 5.3 to 7.6 on our scale (AIME, harder to National Olympiad, round 2). 17 of them ask for a proof. Years covered: 2013–2015.

Algebra 5Combinatorics 3Geometry 4Number theory 5
#TopicDiffTypeYear
1 Number theory 5.1 proof 2013 open
2 Number theory 5.1 proof 2013 open
3 Number theory 5.3 proof 2015 open
4 Combinatorics 5.3 proof 2013 open
5 Algebra 5.4 proof 2013 open
6 Algebra 5.5 proof 2015 open
7 Algebra 5.6 proof 2015 open
8 Geometry 5.7 proof 2013 open
9 Geometry 5.8 proof 2015 open
10 Number theory 5.8 proof 2015 open
11 Geometry 5.8 proof 2013 open
12 Number theory 5.8 proof 2013 open
13 Algebra 5.9 proof 2013 open
14 Algebra 6.0 proof 2015 open
15 Geometry 6.2 proof 2015 open
16 Combinatorics 7.1 proof 2013 open
17 Combinatorics 7.6 proof 2015 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.