Maths Olympiad Prep

Library /PMO National Stage Oral Phase

PMO National Stage Oral Phase

28 problems here, rated 3.6 to 6.1 on our scale (AMC 10/12 to National Olympiad). 19 of them ask for a proof.

Algebra 13Combinatorics 3Geometry 6Number theory 6
#TopicDiffTypeYear
1 Number theory 3.6 answer — open
2 Combinatorics 3.6 answer — open
3 Algebra 3.8 answer — open
4 Number theory 3.9 answer — open
5 Number theory 3.9 answer — open
6 Algebra 4.0 answer — open
7 Geometry 4.4 proof — open
8 Algebra 4.4 proof — open
9 Number theory 4.5 answer — open
10 Algebra 4.5 proof — open
11 Geometry 4.7 proof — open
12 Number theory 4.7 answer — open
13 Geometry 4.7 proof — open
14 Geometry 4.7 answer — open
15 Algebra 4.7 proof — open
16 Geometry 4.8 proof — open
17 Algebra 4.8 proof — open
18 Algebra 4.8 proof — open
19 Algebra 4.8 proof — open
20 Algebra 4.9 proof — open
21 Number theory 4.9 proof — open
22 Combinatorics 4.9 proof — open
23 Combinatorics 5.1 proof — open
24 Algebra 5.2 proof — open
25 Algebra 5.3 proof — open
26 Algebra 5.4 proof — open
27 Algebra 6.0 proof — open
28 Geometry 6.1 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.