Maths Olympiad Prep

Library /Singapore Mathematical Olympiad (SMO)

Singapore Mathematical Olympiad (SMO)

52 problems here, rated 4.8 to 7.7 on our scale (AIME to National Olympiad, round 2). 52 of them ask for a proof.

Algebra 9Combinatorics 14Geometry 16Number theory 13
#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 Number theory 5.1 proof — open
10 Number theory 5.1 proof — open
11 Algebra 5.1 proof — open
12 Number theory 5.1 proof — open
13 Combinatorics 5.3 proof — open
14 Combinatorics 5.3 proof — open
15 Geometry 5.4 proof — open
16 Number theory 5.4 proof — open
17 Geometry 5.4 proof 2011 open
18 Geometry 5.4 proof — open
19 Number theory 5.5 proof — open
20 Number theory 5.6 proof — open
21 Combinatorics 5.6 proof — open
22 Combinatorics 5.7 proof 2011 open
23 Algebra 5.7 proof — open
24 Number theory 5.7 proof — open
25 Algebra 5.7 proof — open
26 Combinatorics 5.7 proof — open
27 Algebra 5.8 proof — open
28 Geometry 5.8 proof — open
29 Combinatorics 5.8 proof — open
30 Geometry 5.8 proof — open
31 Geometry 5.8 proof — open
32 Combinatorics 5.8 proof — open
33 Number theory 5.9 proof — open
34 Algebra 5.9 proof — open
35 Combinatorics 5.9 proof — open
36 Number theory 5.9 proof — open
37 Algebra 6.0 proof — open
38 Combinatorics 6.0 proof — open
39 Combinatorics 6.1 proof — open
40 Geometry 6.1 proof — open
41 Algebra 6.2 proof — open
42 Combinatorics 6.2 proof — open
43 Geometry 6.3 proof — open
44 Number theory 6.3 proof — open
45 Number theory 6.4 proof — open
46 Geometry 6.4 proof — open
47 Number theory 6.4 proof — open
48 Algebra 6.9 proof — open
49 Combinatorics 7.1 proof — open
50 Combinatorics 7.2 proof — open
51 Combinatorics 7.2 proof — open
52 Algebra 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.