International Mathematical Olympiad 2017 (Rio de Janeiro, Brazil) Scores

At the 2017 IMO held in Rio de Janeiro, Brazil, 615 contestants from 111 countries competed. 48 gold medals were awarded to those scoring at least 25; 90 silver medals were awarded to those scoring from 19 to 24; and 153 bronze medals were awarded to those scoring from 16 to 18.

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 no‐one attained). The mean individual score was 14.582, with a standard deviation of 6.885. The following table shows how many contestants attained each possible score.

Score	Number of contestants
42	0
41	0
40	0
39	0
38	0
37	0
36	0
35	3
34	0
33	0
32	1
31	1
30	1
29	7
28	15
27	1
26	6
25	13
24	15
23	8
22	10
21	21
20	12
19	24
18	49
17	77
16	27
15	50
14	48
13	26
12	26
11	15
10	14
9	26
8	31
7	10
6	9
5	8
4	4
3	8
2	15
1	22
0	12

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	5.943	2.304	0.042	5.029	0.969	0.294
Standard deviation	2.096	2.202	0.479	2.763	2.101	1.177

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		0.358	0.045	0.462	0.208	0.118
2	0.358		0.099	0.410	0.292	0.279
3	0.045	0.099		0.005	0.008	0.027
4	0.462	0.410	0.005		0.179	0.167
5	0.208	0.292	0.008	0.179		0.159
6	0.118	0.279	0.027	0.167	0.159

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	40	16	17	5	12	54	25	446
Question 2	183	110	26	138	79	10	8	61
Question 3	608	3	0	0	1	1	0	2
Question 4	47	93	42	14	15	4	6	394
Question 5	451	46	47	9	0	2	1	59
Question 6	557	24	9	5	4	2	0	14
Total	1886	292	141	171	111	73	40	976

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Contact: Joseph Myers (jsm@polyomino.org.uk)
Last updated: 22 July 2017

Score	Number of contestants
42	0
41	0
40	0
39	0
38	0
37	0
36	0
35	3
34	0
33	0
32	1
31	1
30	1
29	7
28	15
27	1
26	6
25	13
24	15
23	8
22	10
21	21
20	12
19	24
18	49
17	77
16	27
15	50
14	48
13	26
12	26
11	15
10	14
9	26
8	31
7	10
6	9
5	8
4	4
3	8
2	15
1	22
0	12

Score	Number of contestants
42	0
41	0
40	0
39	0
38	0
37	0
36	0
35	3
34	0
33	0
32	1
31	1
30	1
29	7
28	15
27	1
26	6
25	13
24	15
23	8
22	10
21	21
20	12
19	24
18	49
17	77
16	27
15	50
14	48
13	26
12	26
11	15
10	14
9	26
8	31
7	10
6	9
5	8
4	4
3	8
2	15
1	22
0	12

Score	Number of contestants
42	0
41	0
40	0
39	0
38	0
37	0
36	0
35	3
34	0
33	0
32	1
31	1
30	1
29	7
28	15
27	1
26	6
25	13
24	15
23	8
22	10
21	21
20	12
19	24
18	49
17	77
16	27
15	50
14	48
13	26
12	26
11	15
10	14
9	26
8	31
7	10
6	9
5	8
4	4
3	8
2	15
1	22
0	12