International Mathematical Olympiad 1993 (Istanbul, Turkey) Scores

At the 1993 IMO held in Istanbul, Turkey, 413 contestants from 73 countries competed. 35 gold medals were awarded to those scoring at least 30; 66 silver medals were awarded to those scoring from 20 to 29; and 97 bronze medals were awarded to those scoring from 11 to 19.

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 2 contestants attained). The mean individual score was 12.591, with a standard deviation of 9.795. The following table shows how many contestants attained each possible score.

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

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	2.027	1.932	1.131	2.303	3.383	1.816
Standard deviation	2.888	2.413	2.163	2.323	2.483	2.228

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		0.336	0.265	0.353	0.469	0.359
2	0.336		0.203	0.399	0.348	0.283
3	0.265	0.203		0.276	0.402	0.391
4	0.353	0.399	0.276		0.316	0.277
5	0.469	0.348	0.402	0.316		0.482
6	0.359	0.283	0.391	0.277	0.482

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	208	91	6	1	1	1	13	92
Question 2	183	32	98	19	12	6	6	57
Question 3	293	33	6	15	21	7	8	30
Question 4	145	43	55	55	35	26	15	39
Question 5	43	92	44	65	32	19	27	91
Question 6	186	38	81	22	20	26	6	34
Total	1058	329	290	177	121	85	75	343

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

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

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

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