Perfect Score - 王蔚楠 同学 Weinan Wang, 8th grade, Affiliated Middle School to Jilin University,
Changchun City, China
Grade Level Average
Grade
Students
Score
.
Female Students
Female Scores
Male Students
Male Scores
5
1,853
8.21
770
7.52
1,055
8.71
6
16,639
8.51
7,471
8.02
8,920
8.93
7
48,479
9.82
22,404
9.27
25,466
10.31
8
78,038
10.75
36,834
10.18
39,972
11.29
Table of Problem Difficulty
2006 American Mathematics Competition 8
Responses by 147,210 Students, Percent of Responses
PROBLEM
A
B
C
D
E
OMITS
?
1
0.29
0.75
3.72
93.95
*
1.04
0.24
0.01
2
4.27
3.19
85.73
*
1.86
4
0.94
0.02
3
46.39
*
6.9
23.37
12.12
9.7
1.47
0.05
4
4.01
66.91
*
12.38
10.93
5.23
0.49
0.05
5
9.25
4.25
5.17
63.37
*
15.94
1.96
0.06
6
5.35
20.68
55.1
*
7.37
10.8
0.68
0.03
7
38.54
20.87
*
10.46
13.73
15.02
1.28
0.1
8
11.5
5.32
11.4
10.77
59.6
*
1.25
0.16
9
25.91
14.71
36.92
*
9.9
9.57
2.92
0.06
10
23.19
*
32.47
23.28
10.66
8.61
1.74
0.05
11
20.01
32.54
17.51
*
17.73
8.62
3.49
0.09
12
4.72
5.9
35.63
43.32
*
9.12
1.25
0.07
13
8.1
16.72
28.65
26.59
*
16.55
3.27
0.12
14
6.41
79.27
*
4.52
4.95
3.36
1.44
0.06
15
19.94
10.27
43.67
*
12.26
9.53
4.22
0.09
16
16.18
19.11
21.65
12.89
23.46
*
6.63
0.08
17
7.94
26.89
*
11.81
35.86
13.14
4.24
0.12
18
9.83
12.76
22.29
22.81
*
25.94
6.22
0.14
19
9.23
14
12.5
52.37
*
5.59
6.14
0.16
20
11.44
21.14
31.9
*
16.6
11.17
7.61
0.13
21
19.56
*
14.62
18.69
20.98
16.58
9.4
0.17
22
19.46
29.02
17.58
17.16
*
6.92
9.7
0.16
23
20.76
*
15.4
18.42
11.67
22.56
10.87
0.32
24
15.39
*
16.15
26.01
17.68
12.09
12.55
0.13
25
15.48
21.58
*
19.72
15.17
14.68
13.3
0.07
( * ) Correct Response
( ? ) Response the computer was unable to read due to incomplete erasures or two answers marked for the same problem
Breakdown of Scores
Male/Female
Score
Grade
Male
Female
Total*
5
6
7
8
242
45
289
25
4
12
75
198
366
86
453
24
5
15
129
304
525
132
661
23
8
28
187
431
631
160
804
22
11
37
229
521
716
271
994
21
9
35
284
652
858
355
1,227
20
16
60
349
787
1107
469
1,599
19
9
62
464
1,033
1375
642
2,052
18
18
87
599
1,326
1812
867
2,725
17
20
117
711
1,840
2242
1347
3,656
16
20
172
1,044
2,370
2940
1862
4,874
15
31
240
1,382
3,153
3647
2689
6,447
14
41
343
1,846
4,134
4775
3664
8,615
13
46
555
2,526
5,363
6039
4963
11,211
12
73
834
3,449
6,704
6891
6395
13,547
11
84
1,194
4,275
7,796
7899
7679
15,879
10
126
1,604
5,347
8,562
8306
8303
16,925
9
190
2,019
5,734
8,721
7941
8288
16,567
8
193
2,263
5,935
7,929
6751
7348
14,390
7
248
2,247
5,150
6,537
4964
5614
10,772
6
216
1,962
3,887
4,542
3253
3637
7,038
5
200
1,376
2,533
2,811
1768
1990
3,826
4
148
822
1402
1,380
759
835
1,630
3
76
341
610
574
247
308
569
2
42
151
173
188
66
66
138
1
12
33
40
48
12
11
23
0(@)
3
6
7
7
151
119
299
0 ($)
4
24
112
127
(*)
(@)
( $ )
Note:
Total includes students who failed to mark their gender These students attempted some of the problems
These students attempted none of the problems
Some students failed to indicate a grade