International Mathematical Olympiad 2020 (St Petersburg (virtual), Russia) Scores

At the 2020 IMO held in St Petersburg (virtual), Russia, 616 contestants from 105 countries competed. 49 gold medals were awarded to those scoring at least 31; 112 silver medals were awarded to those scoring from 24 to 30; and 155 bronze medals were awarded to those scoring from 15 to 23.

Further statistics are shown below. Detailed tables of results by country or contestant are available:

Total scores of each country, in descending order of total score (the IMO is an individual competition, so country orderings are unofficial only).
Total scores of each country, in alphabetical order.
Individual scores, in descending order of score.
Individual scores, in order of contestant code.

The maximum individual score possible was 42 (which only one contestant attained). The mean individual score was 15.519, with a standard deviation of 10.488. The following table shows how many contestants attained each possible score.

Score	Number of contestants
42	1
41	0
40	1
39	0
38	0
37	1
36	15
35	2
34	1
33	12
32	9
31	7
30	9
29	27
28	28
27	7
26	10
25	9
24	22
23	19
22	25
21	21
20	9
19	12
18	14
17	10
16	22
15	23
14	28
13	13
12	13
11	13
10	11
9	24
8	26
7	50
6	3
5	7
4	7
3	9
2	11
1	28
0	57

The following table shows the maximum attainable score, mean score and standard deviation of scores for each individual question.

Question number	1	2	3	4	5	6
Maximum score	7	7	7	7	7	7
Mean score	5.313	2.248	0.940	3.938	2.797	0.282
Standard deviation	2.894	2.802	2.022	3.170	3.272	0.767

The following table shows the correlation coefficients between the scores on each pair of questions. To make sense of these figures you will probably wish to look at the problems themselves (from Mathlinks) to see which are on similar or different topics.

	1	2	3	4	5	6
1		0.375	0.200	0.406	0.399	0.190
2	0.375		0.280	0.374	0.466	0.255
3	0.200	0.280		0.315	0.291	0.364
4	0.406	0.374	0.315		0.572	0.342
5	0.399	0.466	0.291	0.572		0.407
6	0.190	0.255	0.364	0.342	0.407

The following table shows the distribution of scores on each individual question with the total number of each score on any question.

	Score 0	Score 1	Score 2	Score 3	Score 4	Score 5	Score 6	Score 7
Question 1	117	26	5	5	2	3	7	451
Question 2	291	29	129	9	4	7	9	138
Question 3	465	47	3	14	40	0	5	42
Question 4	213	11	3	42	35	14	13	285
Question 5	294	83	0	2	1	9	4	223
Question 6	481	126	1	1	1	1	1	4
Total	1861	322	141	73	83	34	39	1143

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Contact: Joseph Myers (jsm@polyomino.org.uk)
Last updated: 27 September 2020

Score	Number of contestants
42	1
41	0
40	1
39	0
38	0
37	1
36	15
35	2
34	1
33	12
32	9
31	7
30	9
29	27
28	28
27	7
26	10
25	9
24	22
23	19
22	25
21	21
20	9
19	12
18	14
17	10
16	22
15	23
14	28
13	13
12	13
11	13
10	11
9	24
8	26
7	50
6	3
5	7
4	7
3	9
2	11
1	28
0	57

Score	Number of contestants
42	1
41	0
40	1
39	0
38	0
37	1
36	15
35	2
34	1
33	12
32	9
31	7
30	9
29	27
28	28
27	7
26	10
25	9
24	22
23	19
22	25
21	21
20	9
19	12
18	14
17	10
16	22
15	23
14	28
13	13
12	13
11	13
10	11
9	24
8	26
7	50
6	3
5	7
4	7
3	9
2	11
1	28
0	57

Score	Number of contestants
42	1
41	0
40	1
39	0
38	0
37	1
36	15
35	2
34	1
33	12
32	9
31	7
30	9
29	27
28	28
27	7
26	10
25	9
24	22
23	19
22	25
21	21
20	9
19	12
18	14
17	10
16	22
15	23
14	28
13	13
12	13
11	13
10	11
9	24
8	26
7	50
6	3
5	7
4	7
3	9
2	11
1	28
0	57