Maths Olympiad Prep

Library /Berkeley Math Circle: Monthly Contest 1

Berkeley Math Circle: Monthly Contest 1

37 problems here, rated 4.3 to 5.8 on our scale (AIME to AIME, harder). 36 of them ask for a proof.

Algebra 8Combinatorics 9Geometry 12Number theory 8
#TopicDiffTypeYear
1 Geometry 3.8 proof — open
2 Geometry 4.3 proof — open
3 Algebra 4.4 proof — open
4 Geometry 4.6 proof — open
5 Number theory 4.7 proof — open
6 Algebra 4.7 proof — open
7 Geometry 4.7 proof — open
8 Combinatorics 4.7 answer — open
9 Number theory 4.8 proof — open
10 Geometry 4.8 proof — open
11 Algebra 4.8 proof — open
12 Geometry 4.8 proof — open
13 Algebra 4.8 proof — open
14 Number theory 4.9 proof — open
15 Geometry 4.9 proof — open
16 Number theory 5.0 proof — open
17 Number theory 5.0 proof — open
18 Geometry 5.0 proof — open
19 Combinatorics 5.0 proof — open
20 Combinatorics 5.1 proof — open
21 Number theory 5.1 proof — open
22 Combinatorics 5.1 proof — open
23 Combinatorics 5.2 proof — open
24 Algebra 5.2 proof — open
25 Geometry 5.2 proof — open
26 Geometry 5.3 proof — open
27 Number theory 5.3 proof — open
28 Combinatorics 5.4 proof — open
29 Algebra 5.4 proof — open
30 Combinatorics 5.5 proof — open
31 Algebra 5.6 proof — open
32 Geometry 5.6 proof — open
33 Combinatorics 5.7 proof — open
34 Geometry 5.7 proof — open
35 Algebra 5.8 proof — open
36 Number theory 5.8 proof — open
37 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.