Maths Olympiad Prep

Library /South African Mathematics Olympiad

South African Mathematics Olympiad

60 problems here, rated 3.5 to 7.3 on our scale (AMC 10/12 to National olympiad, round 2). 17 of them ask for a proof.

Algebra 30Combinatorics 4Geometry 14Number theory 12
#TopicDiffTypeYear
1 Geometry 3.5 answer — open
2 Geometry 3.5 answer — open
3 Number theory 3.6 answer — open
4 Number theory 3.7 answer — open
5 Geometry 3.7 answer — open
6 Geometry 3.7 answer — open
7 Algebra 3.7 answer — open
8 Algebra 3.7 answer — open
9 Number theory 3.8 answer — open
10 Geometry 3.8 answer — open
11 Geometry 3.8 answer — open
12 Algebra 3.8 answer — open
13 Algebra 3.8 answer — open
14 Algebra 3.8 answer — open
15 Algebra 3.8 answer — open
16 Algebra 3.8 answer — open
17 Number theory 3.8 answer — open
18 Algebra 3.8 answer — open
19 Algebra 3.8 answer — open
20 Algebra 3.9 answer — open
21 Algebra 3.9 answer — open
22 Algebra 3.9 answer — open
23 Algebra 3.9 answer — open
24 Algebra 3.9 answer — open
25 Algebra 3.9 answer — open
26 Algebra 3.9 answer — open
27 Algebra 3.9 answer — open
28 Algebra 3.9 answer — open
29 Algebra 3.9 answer — open
30 Algebra 3.9 answer — open
31 Combinatorics 3.9 answer — open
32 Number theory 3.9 answer — open
33 Number theory 4.0 answer — open
34 Algebra 4.0 answer — open
35 Number theory 4.0 answer — open
36 Algebra 4.0 answer — open
37 Number theory 4.0 answer — open
38 Geometry 4.0 answer — open
39 Algebra 4.1 answer — open
40 Geometry 4.1 answer — open
41 Algebra 4.1 answer — open
42 Algebra 4.1 answer — open
43 Combinatorics 4.6 proof — open
44 Algebra 4.7 answer — open
45 Algebra 4.7 proof — open
46 Geometry 4.8 proof — open
47 Algebra 4.8 proof — open
48 Algebra 4.9 proof — open
49 Geometry 5.0 proof — open
50 Geometry 5.1 proof — open
51 Geometry 5.1 proof — open
52 Geometry 5.3 proof — open
53 Number theory 5.4 proof — open
54 Algebra 5.5 proof — open
55 Number theory 5.9 proof — open
56 Geometry 5.9 proof — open
57 Number theory 6.0 proof — open
58 Number theory 6.0 proof — open
59 Combinatorics 6.9 proof — open
60 Combinatorics 7.3 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.