Library /South African Mathematics Olympiad

South African Mathematics Olympiad

48 problems here, rated 3.5 to 6.9 on our scale (AMC 10/12 to National Olympiad). 17 of them ask for a proof.

Algebra 26Combinatorics 2Geometry 12Number theory 8

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