Maths Olympiad Prep

Library /The South African Mathematical Olympiad Third Round

The South African Mathematical Olympiad Third Round

27 problems here, rated 4.9 to 7.7 on our scale (AIME to National olympiad, round 2). 27 of them ask for a proof.

Algebra 7Combinatorics 5Geometry 7Number theory 8
#TopicDiffTypeYear
1 Geometry 4.9 proof — open
2 Number theory 4.9 proof — open
3 Algebra 5.2 proof — open
4 Geometry 5.6 proof — open
5 Number theory 5.6 proof — open
6 Number theory 5.7 proof — open
7 Number theory 5.7 proof — open
8 Number theory 5.7 proof — open
9 Number theory 5.9 proof — open
10 Algebra 6.0 proof — open
11 Algebra 6.1 proof — open
12 Combinatorics 6.2 proof — open
13 Geometry 6.2 proof — open
14 Geometry 6.3 proof — open
15 Geometry 6.4 proof — open
16 Combinatorics 6.5 proof — open
17 Algebra 6.6 proof — open
18 Geometry 6.8 proof — open
19 Algebra 6.8 proof — open
20 Number theory 7.0 proof — open
21 Geometry 7.1 proof — open
22 Algebra 7.2 proof — open
23 Algebra 7.4 proof — open
24 Combinatorics 7.4 proof — open
25 Combinatorics 7.5 proof — open
26 Number theory 7.5 proof — open
27 Combinatorics 7.7 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.