Maths Olympiad Prep

Library /Singapore Mathematical Olympiad (SMO)

Singapore Mathematical Olympiad (SMO)

27 problems here, rated 4.8 to 7.2 on our scale (AIME to National Olympiad, round 2). 27 of them ask for a proof.

Algebra 3Combinatorics 4Geometry 12Number theory 8
#TopicDiffTypeYear
1 Geometry 4.8 proof — open
2 Geometry 4.8 proof — open
3 Geometry 4.8 proof — open
4 Geometry 4.8 proof — open
5 Geometry 4.9 proof — open
6 Number theory 4.9 proof — open
7 Geometry 4.9 proof — open
8 Geometry 4.9 proof — open
9 Algebra 5.0 proof — open
10 Number theory 5.1 proof — open
11 Geometry 5.1 proof — open
12 Number theory 5.1 proof — open
13 Algebra 5.1 proof — open
14 Number theory 5.1 proof — open
15 Combinatorics 5.3 proof — open
16 Combinatorics 5.3 proof — open
17 Geometry 5.4 proof — open
18 Number theory 5.4 proof — open
19 Geometry 5.4 proof 2011 open
20 Geometry 5.4 proof — open
21 Algebra 5.5 proof — open
22 Number theory 5.5 proof — open
23 Number theory 5.6 proof — open
24 Combinatorics 5.6 proof — open
25 Geometry 5.8 proof — open
26 Number theory 5.9 proof — open
27 Combinatorics 7.2 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.