Library /South African Mathematical Olympiad, Third Round

South African Mathematical Olympiad, Third Round

42 problems here, rated 5.6 to 7.5 on our scale (AIME, harder to National Olympiad, round 2). 42 of them ask for a proof.

Algebra 10Combinatorics 9Geometry 11Number theory 12

#	Topic	Diff	Type	Year
1	Geometry	4.9	proof	—	open
2	Number theory	4.9	proof	—	open
3	Geometry	5.1	proof	—	open
4	Algebra	5.2	proof	—	open
5	Geometry	5.6	proof	—	open
6	Number theory	5.6	proof	—	open
7	Number theory	5.7	proof	—	open
8	Number theory	5.7	proof	—	open
9	Number theory	5.7	proof	—	open
10	Geometry	5.7	proof	—	open
11	Number theory	5.7	proof	—	open
12	Algebra	5.7	proof	—	open
13	Geometry	5.8	proof	—	open
14	Number theory	5.8	proof	—	open
15	Algebra	5.9	proof	—	open
16	Number theory	5.9	proof	—	open
17	Algebra	6.1	proof	—	open
18	Geometry	6.1	proof	—	open
19	Combinatorics	6.2	proof	—	open
20	Combinatorics	6.2	proof	—	open
21	Geometry	6.2	proof	—	open
22	Combinatorics	6.3	proof	—	open
23	Geometry	6.3	proof	—	open
24	Algebra	6.4	proof	—	open
25	Algebra	6.4	proof	—	open
26	Number theory	6.4	proof	—	open
27	Geometry	6.4	proof	—	open
28	Combinatorics	6.5	proof	—	open
29	Algebra	6.6	proof	—	open
30	Number theory	6.8	proof	—	open
31	Geometry	6.8	proof	—	open
32	Algebra	6.8	proof	—	open
33	Number theory	7.0	proof	—	open
34	Geometry	7.1	proof	—	open
35	Combinatorics	7.3	proof	—	open
36	Algebra	7.4	proof	—	open
37	Combinatorics	7.4	proof	—	open
38	Algebra	7.4	proof	—	open
39	Combinatorics	7.5	proof	—	open
40	Number theory	7.5	proof	—	open
41	Combinatorics	7.7	proof	—	open
42	Combinatorics	8.1	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.