Maths Olympiad Prep

Library /Berkeley Math Circle Monthly Contest 5

Berkeley Math Circle Monthly Contest 5

31 problems here, rated 4.4 to 5.5 on our scale (AIME to AIME, harder). 30 of them ask for a proof.

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