Maths Olympiad Prep

Library /Berkeley Math Circle Monthly Contest 5

Berkeley Math Circle Monthly Contest 5

36 problems here, rated 4.4 to 5.5 on our scale (AIME to AIME, harder). 34 of them ask for a proof.

Algebra 9Combinatorics 9Geometry 11Number theory 7
#TopicDiffTypeYear
1 Geometry 4.0 answer — open
2 Geometry 4.4 proof — open
3 Geometry 4.4 proof — open
4 Number theory 4.5 proof — open
5 Geometry 4.5 proof — open
6 Algebra 4.5 answer — open
7 Geometry 4.6 proof — open
8 Algebra 4.7 proof — open
9 Algebra 4.7 proof — open
10 Number theory 4.7 proof — open
11 Number theory 4.7 proof — open
12 Geometry 4.7 proof — open
13 Geometry 4.7 proof — open
14 Geometry 4.8 proof — open
15 Geometry 4.8 proof — open
16 Combinatorics 4.8 proof — open
17 Number theory 4.9 proof — open
18 Geometry 4.9 proof — open
19 Algebra 4.9 proof — open
20 Algebra 4.9 proof — open
21 Algebra 4.9 proof — open
22 Algebra 5.0 proof — open
23 Combinatorics 5.1 proof — open
24 Number theory 5.1 proof — open
25 Number theory 5.1 proof — open
26 Number theory 5.2 proof — open
27 Combinatorics 5.2 proof — open
28 Combinatorics 5.2 proof — open
29 Combinatorics 5.3 proof — open
30 Algebra 5.3 proof — open
31 Algebra 5.4 proof — open
32 Geometry 5.5 proof — open
33 Combinatorics 5.5 proof — open
34 Combinatorics 5.5 proof — open
35 Combinatorics 5.6 proof — open
36 Combinatorics 5.6 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.