International Mathematical Olympiad 1989 (Braunschweig (Brunswick), West Germany) Scores

At the 1989 IMO held in Braunschweig (Brunswick), West Germany, 291 contestants from 50 countries competed. 20 gold medals were awarded to those scoring at least 38; 55 silver medals were awarded to those scoring from 30 to 37; and 72 bronze medals were awarded to those scoring from 18 to 29.

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 10 contestants attained). The mean individual score was 18.924, with a standard deviation of 12.489. The following table shows how many contestants attained each possible score.

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

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	3.038	4.227	1.337	3.990	3.808	2.526
Standard deviation	3.080	2.659	2.332	3.024	3.368	2.989

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		0.377	0.323	0.296	0.496	0.358
2	0.377		0.380	0.476	0.536	0.423
3	0.323	0.380		0.308	0.400	0.435
4	0.296	0.476	0.308		0.437	0.396
5	0.496	0.536	0.400	0.437		0.491
6	0.358	0.423	0.435	0.396	0.491

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	109	31	29	4	4	8	15	91
Question 2	45	23	9	49	14	28	15	108
Question 3	188	27	19	13	2	7	3	32
Question 4	65	37	12	23	8	9	5	132
Question 5	122	3	3	3	2	8	8	142
Question 6	143	23	13	6	11	15	11	69
Total	672	144	85	98	41	75	57	574

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

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

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

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