Maths Olympiad Prep

Library /Berkeley Math Circle: Monthly Contest 6

Berkeley Math Circle: Monthly Contest 6

32 problems here, rated 4.4 to 5.6 on our scale (AIME to AIME, harder). 32 of them ask for a proof.

Algebra 6Combinatorics 9Geometry 9Number theory 8
#TopicDiffTypeYear
1 Algebra 4.4 proof — open
2 Geometry 4.4 proof — open
3 Algebra 4.4 proof — open
4 Combinatorics 4.6 proof — open
5 Geometry 4.6 proof — open
6 Geometry 4.7 proof — open
7 Number theory 4.7 proof — open
8 Geometry 4.7 proof — open
9 Geometry 4.8 proof — open
10 Geometry 4.8 proof — open
11 Algebra 4.8 proof — open
12 Number theory 4.8 proof — open
13 Algebra 4.8 proof — open
14 Number theory 4.8 proof — open
15 Geometry 4.8 proof — open
16 Geometry 4.8 proof — open
17 Geometry 4.8 proof — open
18 Number theory 4.9 proof — open
19 Combinatorics 5.0 proof — open
20 Algebra 5.2 proof — open
21 Combinatorics 5.2 proof — open
22 Combinatorics 5.3 proof — open
23 Combinatorics 5.3 proof — open
24 Number theory 5.3 proof — open
25 Number theory 5.3 proof — open
26 Number theory 5.3 proof — open
27 Algebra 5.4 proof — open
28 Combinatorics 5.5 proof — open
29 Combinatorics 5.6 proof — open
30 Combinatorics 5.6 proof — open
31 Number theory 5.7 proof — open
32 Combinatorics 5.8 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.