International Mathematical Olympiad 1999 (Bucharest, Romania) Scores

At the 1999 IMO held in Bucharest, Romania, 453 contestants from 81 countries competed (counting 3 contestants with scores of ‘– – – – – -’). 38 gold medals were awarded to those scoring at least 28; 70 silver medals were awarded to those scoring from 19 to 27; and 118 bronze medals were awarded to those scoring from 12 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 13.236, with a standard deviation of 8.684. The following table shows how many contestants attained each possible score.

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

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	4.269	1.660	1.574	2.790	1.799	1.143
Standard deviation	2.440	2.389	1.831	2.262	2.418	1.452

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		0.436	0.283	0.425	0.380	0.284
2	0.436		0.223	0.480	0.499	0.354
3	0.283	0.223		0.188	0.181	0.215
4	0.425	0.480	0.188		0.431	0.342
5	0.380	0.499	0.181	0.431		0.271
6	0.284	0.354	0.215	0.342	0.271

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	32	52	53	45	42	41	48	140
Question 2	198	129	37	10	5	4	11	59
Question 3	157	119	79	44	20	3	8	23
Question 4	43	119	109	59	24	15	9	75
Question 5	198	103	44	18	5	7	31	47
Question 6	148	225	28	21	8	7	5	11
Total	776	747	350	197	104	77	112	355

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

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

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

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