Library /Philippine Mathematical Olympiad

Philippine Mathematical Olympiad

114 problems here, rated 4 to 8 on our scale (AIME to Shortlist). 99 of them ask for a proof.

Algebra 43Combinatorics 13Geometry 32Number theory 26

#	Topic	Diff	Type	Year
1	Number theory	4.0	answer	—	open
2	Number theory	4.1	answer	—	open
3	Geometry	4.2	answer	—	open
4	Algebra	4.2	answer	—	open
5	Algebra	4.2	answer	—	open
6	Algebra	4.3	answer	—	open
7	Algebra	4.4	proof	—	open
8	Algebra	4.6	answer	—	open
9	Algebra	4.6	answer	—	open
10	Number theory	4.7	answer	—	open
11	Algebra	4.8	proof	—	open
12	Geometry	4.8	proof	—	open
13	Geometry	4.9	proof	—	open
14	Algebra	4.9	proof	—	open
15	Number theory	4.9	answer	—	open
16	Combinatorics	4.9	answer	—	open
17	Algebra	4.9	answer	—	open
18	Algebra	5.0	proof	—	open
19	Algebra	5.0	proof	—	open
20	Geometry	5.0	proof	—	open
21	Geometry	5.0	answer	—	open
22	Algebra	5.0	proof	—	open
23	Geometry	5.0	proof	—	open
24	Combinatorics	5.0	proof	—	open
25	Number theory	5.0	proof	—	open
26	Geometry	5.0	proof	—	open
27	Algebra	5.0	proof	—	open
28	Geometry	5.1	proof	—	open
29	Combinatorics	5.1	proof	—	open
30	Number theory	5.1	proof	—	open
31	Geometry	5.1	proof	—	open
32	Number theory	5.1	proof	—	open
33	Algebra	5.1	proof	—	open
34	Geometry	5.1	proof	—	open
35	Geometry	5.1	proof	—	open
36	Algebra	5.2	proof	—	open
37	Algebra	5.2	proof	—	open
38	Number theory	5.2	proof	—	open
39	Algebra	5.2	proof	—	open
40	Algebra	5.2	proof	—	open
41	Algebra	5.2	proof	—	open
42	Algebra	5.2	proof	—	open
43	Geometry	5.2	proof	—	open
44	Geometry	5.2	proof	—	open
45	Combinatorics	5.2	proof	—	open
46	Algebra	5.2	proof	—	open
47	Algebra	5.3	proof	—	open
48	Combinatorics	5.3	answer	—	open
49	Number theory	5.3	proof	—	open
50	Number theory	5.3	proof	—	open
51	Geometry	5.3	proof	—	open
52	Algebra	5.3	proof	—	open
53	Algebra	5.3	proof	—	open
54	Number theory	5.3	proof	—	open
55	Algebra	5.3	proof	—	open
56	Algebra	5.3	proof	—	open
57	Number theory	5.3	proof	—	open
58	Algebra	5.3	proof	—	open
59	Number theory	5.3	proof	—	open
60	Geometry	5.4	proof	—	open
61	Algebra	5.4	proof	—	open
62	Algebra	5.4	proof	—	open
63	Algebra	5.4	proof	—	open
64	Number theory	5.4	proof	—	open
65	Algebra	5.4	proof	—	open
66	Geometry	5.5	proof	—	open
67	Geometry	5.5	proof	—	open
68	Number theory	5.5	proof	—	open
69	Algebra	5.6	proof	—	open
70	Geometry	5.6	proof	—	open
71	Algebra	5.6	proof	—	open
72	Geometry	5.7	proof	—	open
73	Geometry	5.7	proof	—	open
74	Number theory	5.7	proof	—	open
75	Combinatorics	5.7	proof	—	open
76	Number theory	5.7	proof	—	open
77	Geometry	5.7	proof	—	open
78	Geometry	5.8	proof	—	open
79	Algebra	5.8	answer	—	open
80	Number theory	5.9	proof	—	open
81	Algebra	6.0	proof	—	open
82	Number theory	6.0	proof	—	open
83	Algebra	6.0	proof	—	open
84	Combinatorics	6.0	proof	—	open
85	Geometry	6.0	proof	—	open
86	Geometry	6.1	proof	—	open
87	Number theory	6.1	proof	—	open
88	Combinatorics	6.1	proof	—	open
89	Geometry	6.2	proof	—	open
90	Geometry	6.2	proof	—	open
91	Algebra	6.2	proof	—	open
92	Number theory	6.3	proof	—	open
93	Algebra	6.3	proof	—	open
94	Geometry	6.4	proof	—	open
95	Combinatorics	6.5	proof	—	open
96	Combinatorics	6.5	proof	—	open
97	Number theory	6.5	proof	—	open
98	Number theory	6.7	proof	—	open
99	Algebra	6.7	proof	—	open
100	Algebra	6.7	proof	—	open
101	Geometry	6.7	proof	—	open
102	Combinatorics	6.7	proof	—	open
103	Geometry	6.8	proof	—	open
104	Combinatorics	6.9	proof	—	open
105	Number theory	7.0	proof	—	open
106	Geometry	7.1	proof	—	open
107	Algebra	7.2	proof	—	open
108	Geometry	7.2	proof	—	open
109	Number theory	7.3	proof	—	open
110	Algebra	7.4	proof	—	open
111	Geometry	7.5	proof	—	open
112	Algebra	7.6	proof	—	open
113	Combinatorics	7.9	proof	—	open
114	Number theory	8.0	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.