Maths Olympiad Prep

Library /Berkeley Math Circle: Monthly Contest 4

Berkeley Math Circle: Monthly Contest 4

34 problems here, rated 4.2 to 5.8 on our scale (AIME to AIME, harder). 34 of them ask for a proof.

Algebra 5Combinatorics 10Geometry 8Number theory 11
#TopicDiffTypeYear
1 Number theory 4.2 proof — open
2 Geometry 4.4 proof — open
3 Geometry 4.5 proof — open
4 Number theory 4.6 proof — open
5 Geometry 4.7 proof — open
6 Number theory 4.8 proof — open
7 Number theory 4.8 proof — open
8 Number theory 4.8 proof — open
9 Geometry 4.8 proof — open
10 Number theory 4.8 proof — open
11 Combinatorics 4.8 proof — open
12 Algebra 4.9 proof — open
13 Algebra 4.9 proof — open
14 Combinatorics 4.9 proof — open
15 Combinatorics 4.9 proof — open
16 Geometry 5.0 proof — open
17 Algebra 5.0 proof — open
18 Geometry 5.0 proof — open
19 Combinatorics 5.0 proof — open
20 Number theory 5.0 proof — open
21 Number theory 5.1 proof — open
22 Algebra 5.2 proof — open
23 Combinatorics 5.2 proof — open
24 Combinatorics 5.3 proof — open
25 Geometry 5.4 proof — open
26 Combinatorics 5.4 proof — open
27 Combinatorics 5.5 proof — open
28 Number theory 5.6 proof — open
29 Algebra 5.6 proof — open
30 Number theory 5.6 proof — open
31 Geometry 5.7 proof — open
32 Number theory 5.8 proof — open
33 Combinatorics 5.8 proof — open
34 Combinatorics 5.9 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.