Maths Olympiad Prep

Library /Final Round of National Olympiad

Final Round of National Olympiad

32 problems here, rated 4.9 to 7.9 on our scale (AIME to National Olympiad, round 2). 31 of them ask for a proof.

Algebra 7Combinatorics 5Geometry 13Number theory 7
#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 Algebra 5.1 proof open
9 Geometry 5.3 proof open
10 Number theory 5.3 proof open
11 Number theory 5.4 proof open
12 Geometry 5.5 proof open
13 Algebra 5.6 proof open
14 Geometry 5.6 proof open
15 Number theory 5.7 proof open
16 Algebra 5.9 proof open
17 Algebra 5.9 proof open
18 Geometry 6.0 proof open
19 Geometry 6.0 proof open
20 Geometry 6.0 proof open
21 Geometry 6.1 proof open
22 Geometry 6.2 proof open
23 Algebra 6.3 answer open
24 Combinatorics 6.4 proof open
25 Geometry 6.7 proof open
26 Combinatorics 6.7 proof open
27 Number theory 6.7 proof open
28 Geometry 6.8 proof open
29 Number theory 7.5 proof open
30 Geometry 7.5 proof open
31 Geometry 7.7 proof open
32 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.