International Mathematical Olympiad 2014 (Cape Town, South Africa) Scores

At the 2014 IMO held in Cape Town, South Africa, 560 contestants from 101 countries competed. 49 gold medals were awarded to those scoring at least 29; 113 silver medals were awarded to those scoring from 22 to 28; and 133 bronze medals were awarded to those scoring from 16 to 21.

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 3 contestants attained). The mean individual score was 16.062, with a standard deviation of 9.556. The following table shows how many contestants attained each possible score.

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

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	5.348	2.971	0.505	5.189	1.709	0.339
Standard deviation	2.641	3.010	1.629	2.694	2.522	1.313

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		0.466	0.194	0.563	0.368	0.153
2	0.466		0.275	0.440	0.520	0.289
3	0.194	0.275		0.206	0.325	0.371
4	0.563	0.440	0.206		0.346	0.153
5	0.368	0.520	0.325	0.346		0.359
6	0.153	0.289	0.371	0.153	0.359

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	75	23	14	22	15	18	23	370
Question 2	240	32	25	17	14	39	71	122
Question 3	479	43	1	2	3	0	4	28
Question 4	24	103	28	16	5	3	3	378
Question 5	301	60	83	10	8	3	11	84
Question 6	514	7	7	11	0	5	1	15
Total	1633	268	158	78	45	68	113	997

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Contact: Joseph Myers (jsm@polyomino.org.uk)
Last updated: 5 January 2016

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

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

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