International Mathematical Olympiad 2019 (Bath, United Kingdom) Scores

At the 2019 IMO held in Bath, United Kingdom, 621 contestants from 112 countries competed. 52 gold medals were awarded to those scoring at least 31; 94 silver medals were awarded to those scoring from 24 to 30; and 156 bronze medals were awarded to those scoring from 17 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 6 contestants attained). The mean individual score was 15.855, with a standard deviation of 10.690. The following table shows how many contestants attained each possible score.

Score	Number of contestants
42	6
41	1
40	2
39	1
38	3
37	1
36	3
35	10
34	11
33	2
32	7
31	5
30	2
29	10
28	36
27	21
26	10
25	11
24	4
23	21
22	46
21	31
20	11
19	11
18	8
17	28
16	23
15	19
14	16
13	15
12	10
11	16
10	15
9	27
8	19
7	12
6	4
5	10
4	15
3	19
2	17
1	33
0	49

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	5.179	2.399	0.572	3.736	3.567	0.403
Standard deviation	2.718	2.843	1.669	3.221	2.979	1.501

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		0.415	0.215	0.603	0.509	0.168
2	0.415		0.341	0.491	0.422	0.331
3	0.215	0.341		0.252	0.364	0.343
4	0.603	0.491	0.252		0.571	0.236
5	0.509	0.422	0.364	0.571		0.278
6	0.168	0.331	0.343	0.236	0.278

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	73	65	6	24	14	5	52	382
Question 2	251	135	30	6	6	3	92	98
Question 3	520	46	3	6	5	9	4	28
Question 4	211	63	4	7	13	19	47	257
Question 5	156	20	168	12	5	7	3	250
Question 6	558	25	7	0	1	0	3	27
Total	1769	354	218	55	44	43	201	1042

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Contact: Joseph Myers (jsm@polyomino.org.uk)
Last updated: 19 July 2019

Score	Number of contestants
42	6
41	1
40	2
39	1
38	3
37	1
36	3
35	10
34	11
33	2
32	7
31	5
30	2
29	10
28	36
27	21
26	10
25	11
24	4
23	21
22	46
21	31
20	11
19	11
18	8
17	28
16	23
15	19
14	16
13	15
12	10
11	16
10	15
9	27
8	19
7	12
6	4
5	10
4	15
3	19
2	17
1	33
0	49

Score	Number of contestants
42	6
41	1
40	2
39	1
38	3
37	1
36	3
35	10
34	11
33	2
32	7
31	5
30	2
29	10
28	36
27	21
26	10
25	11
24	4
23	21
22	46
21	31
20	11
19	11
18	8
17	28
16	23
15	19
14	16
13	15
12	10
11	16
10	15
9	27
8	19
7	12
6	4
5	10
4	15
3	19
2	17
1	33
0	49

Score	Number of contestants
42	6
41	1
40	2
39	1
38	3
37	1
36	3
35	10
34	11
33	2
32	7
31	5
30	2
29	10
28	36
27	21
26	10
25	11
24	4
23	21
22	46
21	31
20	11
19	11
18	8
17	28
16	23
15	19
14	16
13	15
12	10
11	16
10	15
9	27
8	19
7	12
6	4
5	10
4	15
3	19
2	17
1	33
0	49