Maths Olympiad Prep

Library /South African Mathematics Olympiad Second Round

South African Mathematics Olympiad Second Round

20 problems here, rated 3.5 to 5 on our scale (AMC 10/12 to AIME, harder). 5 of them ask for a proof.

Algebra 13Combinatorics 1Geometry 3Number theory 3
#TopicDiffTypeYear
1 Algebra 3.5 answer — open
2 Geometry 3.6 answer — open
3 Geometry 3.6 answer — open
4 Algebra 3.7 answer — open
5 Number theory 3.7 answer — open
6 Combinatorics 3.8 answer — open
7 Algebra 3.8 answer — open
8 Algebra 3.8 answer — open
9 Algebra 3.9 answer — open
10 Algebra 4.0 answer — open
11 Number theory 4.0 answer — open
12 Algebra 4.1 answer — open
13 Algebra 4.1 answer — open
14 Algebra 4.2 answer — open
15 Algebra 4.3 answer — open
16 Number theory 4.5 proof — open
17 Geometry 4.9 proof — open
18 Algebra 4.9 proof — open
19 Algebra 4.9 proof — open
20 Algebra 5.0 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.