Maths Olympiad Prep

Library /CAPS Match

CAPS Match

8 problems here, rated 5.2 to 7.2 on our scale (AIME, harder to National Olympiad, round 2). 8 of them ask for a proof. Years covered: 2024–2025.

Algebra 1Combinatorics 3Geometry 3Number theory 1
#TopicDiffTypeYear
1 Geometry 5.2 proof 2024 open
2 Geometry 6.1 proof 2025 open
3 Number theory 6.4 proof 2025 open
4 Combinatorics 6.8 proof 2025 open
5 Combinatorics 6.9 proof 2025 open
6 Algebra 7.1 proof 2025 open
7 Geometry 7.2 proof 2024 open
8 Combinatorics 7.2 proof 2024 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.