2007 American Mathematics Competition 8
Responses by 150,618 Students, Percent of Responses
PROBLEM
A
B
C
D
E
OMITS
?
1
4.22
4.19
3.67
84.11
*
3.30
0.48
0.02
2
19.76
3.72
3.90
5.88
65.97
*
0.71
0.06
3
7.62
11.71
63.43
*
12.07
3.87
1.16
0.14
4
8.32
13.56
4.26
46.66
*
26.55
0.51
0.14
5
5.50
84.94
*
4.52
1.89
2.62
0.50
0.04
6
5.71
23.08
36.59
4.29
28.83
*
1.41
0.09
7
10.88
16.13
5.73
57.88
*
7.81
1.49
0.07
8
4.46
55.65
*
7.58
19.74
11.41
1.08
0.08
9
4.02
76.94
*
3.71
3.20
11.47
0.59
0.07
10
27.09
10.19
31.59
22.12
*
4.96
3.99
0.07
11
6.61
8.33
22.57
35.82
*
24.47
2.06
0.13
12
44.14
*
15.13
13.88
13.96
10.57
2.24
0.09
13
45.15
27.96
16.25
*
5.42
2.84
2.30
0.08
14
39.81
16.68
17.20
*
7.55
16.02
2.63
0.11
15
42.74
*
6.82
6.66
19.17
22.39
2.05
0.17
16
25.94
*
8.19
9.31
45.90
7.75
2.83
0.09
17
10.27
28.78
33.75
*
16.28
7.41
3.42
0.09
18
7.56
15.18
17.79
45.39
*
9.40
4.57
0.11
19
25.83
28.74
22.97
*
10.82
5.97
5.51
0.16
20
26.60
*
16.31
18.40
14.36
16.47
7.69
0.17
21
9.09
19.03
36.71
12.47
*
15.80
6.73
0.17
22
8.80
27.13
22.95
*
21.61
10.16
9.18
0.18
23
7.99
24.48
*
33.92
15.34
10.12
7.93
0.21
24
25.63
20.96
17.24
*
13.73
13.45
8.84
0.16
25
13.87
12.89
*
36.18
12.71
13.66
10.58
0.10
( * ) 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
112
14
129
25
2
7
32
85
183
42
225
24
2
13
58
150
315
71
391
23
5
27
104
253
464
149
618
22
9
31
152
420
738
221
967
21
11
47
233
667
934
317
1,263
20
21
65
313
855
1,197
497
1,721
19
31
92
400
1175
1,618
720
2,371
18
39
125
625
1569
1,948
1,071
3,068
17
53
163
804
2019
2,515
1,391
3,969
16
65
242
1129
2488
3,069
1,896
5,061
15
78
355
1508
3058
4,033
2,715
6,870
14
100
451
2040
4192
5,001
3,673
8,849
13
144
653
2650
5268
5,951
4,833
11,020
12
174
904
3470
6323
6,965
6,082
13,338
11
210
1169
4350
7435
7,430
7,101
14,906
10
222
1563
4908
7973
7,496
7,815
15,643
9
253
1831
5318
8006
7,183
7,554
15,047
8
268
2091
5247
7182
6,294
7,057
13,619
7
311
2241
4868
6008
5,128
6,031
11,387
6
308
2093
4161
4633
3,903
4,430
8,507
5
286
1709
3132
3227
2,508
3,205
5,830
4
229
1313
2064
2111
1,503
1,751
3,309
3
166
835
1193
1061
721
756
1,509
2
99
433
523
423
270
278
556
1
27
162
185
168
38
45
86
0(@)
7
33
23
19
192
144
359
0($)
50
39
104
139
(*)
(@)
( $ )
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
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