Maths Olympiad Prep

Library /Berkeley Math Circle Monthly Contest 5

Berkeley Math Circle Monthly Contest 5

37 problems here, rated 4.4 to 5.5 on our scale (AIME to AIME, harder). 35 of them ask for a proof.

Algebra 9Combinatorics 10Geometry 11Number theory 7
#TopicDiffTypeYear
1 Geometry 4.0 answer open
2 Geometry 4.4 proof open
3 Geometry 4.4 proof open
4 Number theory 4.5 proof open
5 Geometry 4.5 proof open
6 Algebra 4.5 answer open
7 Geometry 4.6 proof open
8 Algebra 4.7 proof open
9 Algebra 4.7 proof open
10 Number theory 4.7 proof open
11 Number theory 4.7 proof open
12 Geometry 4.7 proof open
13 Geometry 4.7 proof open
14 Geometry 4.8 proof open
15 Geometry 4.8 proof open
16 Combinatorics 4.8 proof open
17 Number theory 4.9 proof open
18 Geometry 4.9 proof open
19 Algebra 4.9 proof open
20 Algebra 4.9 proof open
21 Algebra 4.9 proof open
22 Algebra 5.0 proof open
23 Combinatorics 5.1 proof open
24 Number theory 5.1 proof open
25 Number theory 5.1 proof open
26 Number theory 5.2 proof open
27 Combinatorics 5.2 proof open
28 Combinatorics 5.2 proof open
29 Combinatorics 5.3 proof open
30 Algebra 5.3 proof open
31 Algebra 5.4 proof open
32 Geometry 5.5 proof open
33 Combinatorics 5.5 proof open
34 Combinatorics 5.5 proof open
35 Combinatorics 5.6 proof open
36 Combinatorics 5.6 proof open
37 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.