Maths Olympiad Prep

Library /75th NMO Selection Tests

75th NMO Selection Tests

24 problems here, rated 7.6 to 9.1 on our scale (National olympiad, round 2 to IMO level). 24 of them ask for a proof.

Algebra 5Combinatorics 7Geometry 8Number theory 4
#TopicDiffTypeYear
1 Geometry 7.6 proof — open
2 Geometry 7.7 proof — open
3 Geometry 7.9 proof — open
4 Algebra 8.0 proof — open
5 Number theory 8.0 proof — open
6 Number theory 8.0 proof — open
7 Number theory 8.2 proof — open
8 Algebra 8.2 proof — open
9 Algebra 8.3 proof — open
10 Combinatorics 8.3 proof — open
11 Combinatorics 8.4 proof — open
12 Geometry 8.5 proof — open
13 Algebra 8.5 proof — open
14 Combinatorics 8.5 proof — open
15 Geometry 8.5 proof — open
16 Geometry 8.5 proof — open
17 Algebra 8.5 proof — open
18 Geometry 8.6 proof — open
19 Number theory 8.6 proof — open
20 Geometry 8.7 proof — open
21 Combinatorics 8.8 proof — open
22 Combinatorics 8.9 proof — open
23 Combinatorics 9.0 proof — open
24 Combinatorics 9.1 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.