Maths Olympiad Prep

Library /Berkeley Math Circle Monthly Contest 3

Berkeley Math Circle Monthly Contest 3

22 problems here, rated 4.3 to 5.7 on our scale (AIME to AIME, harder). 21 of them ask for a proof.

Algebra 5Combinatorics 4Geometry 6Number theory 7
#TopicDiffTypeYear
1 Algebra 4.3 answer — open
2 Geometry 4.3 proof — open
3 Number theory 4.5 proof — open
4 Geometry 4.7 proof — open
5 Geometry 4.7 proof — open
6 Algebra 4.8 proof — open
7 Number theory 4.8 proof — open
8 Algebra 4.8 proof — open
9 Number theory 4.8 proof — open
10 Algebra 4.8 proof — open
11 Number theory 4.9 proof — open
12 Number theory 4.9 proof — open
13 Geometry 5.0 proof — open
14 Combinatorics 5.2 proof — open
15 Geometry 5.2 proof — open
16 Geometry 5.2 proof — open
17 Algebra 5.3 proof — open
18 Combinatorics 5.4 proof — open
19 Combinatorics 5.4 proof — open
20 Number theory 5.6 proof — open
21 Number theory 5.7 proof — open
22 Combinatorics 5.7 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.