Maths Olympiad Prep

Library /Berkeley Math Circle Monthly Contest 7

Berkeley Math Circle Monthly Contest 7

36 problems here, rated 4 to 5.9 on our scale (AIME to AIME, harder). 36 of them ask for a proof.

Algebra 7Combinatorics 14Geometry 9Number theory 6
#TopicDiffTypeYear
1 Geometry 3.8 proof — open
2 Geometry 4.0 proof — open
3 Algebra 4.3 proof — open
4 Geometry 4.4 proof — open
5 Algebra 4.6 proof — open
6 Number theory 4.6 proof — open
7 Number theory 4.7 proof — open
8 Geometry 4.7 proof — open
9 Geometry 4.7 proof — open
10 Number theory 4.8 proof — open
11 Combinatorics 4.8 proof — open
12 Combinatorics 4.8 proof — open
13 Algebra 4.9 proof — open
14 Combinatorics 4.9 proof — open
15 Combinatorics 5.0 proof — open
16 Combinatorics 5.0 proof — open
17 Geometry 5.0 proof — open
18 Combinatorics 5.0 proof — open
19 Geometry 5.0 proof — open
20 Geometry 5.0 proof — open
21 Algebra 5.0 proof — open
22 Combinatorics 5.0 proof — open
23 Number theory 5.1 proof — open
24 Number theory 5.1 proof — open
25 Combinatorics 5.1 proof — open
26 Algebra 5.2 proof — open
27 Geometry 5.2 proof — open
28 Combinatorics 5.3 proof — open
29 Number theory 5.3 proof — open
30 Combinatorics 5.4 proof — open
31 Combinatorics 5.5 proof — open
32 Algebra 5.5 proof — open
33 Algebra 5.6 proof — open
34 Combinatorics 5.6 proof — open
35 Combinatorics 5.6 proof — open
36 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.