Maths Olympiad Prep

Library /Berkeley Math Circle: Monthly Contest 1

Berkeley Math Circle: Monthly Contest 1

33 problems here, rated 4.4 to 5.8 on our scale (AIME to AIME, harder). 32 of them ask for a proof.

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