2008 American Mathematics Competition 8
Responses by 148,554 Students, Percent of Responses
PROBLEM
A
B
C
D
E
OMITS
?
1
1.70
90.40
*
5.18
2.45
0.06
0.20
0.01
2
60.91
*
12.74
6.10
14.59
4.52
1.10
0.04
3
77.14
*
6.22
2.12
2.76
11.43
0.26
0.07
4
5.10
12.89
67.10
*
10.04
3.43
1.39
0.05
5
4.92
9.58
7.90
13.48
62.34
*
1.68
0.09
6
25.37
12.30
2.04
58.75
*
1.13
0.37
0.03
7
4.38
4.56
6.13
15.30
68.38
*
1.14
0.10
8
5.32
2.80
7.44
81.85
*
2.14
0.41
0.04
9
5.26
2.62
3.14
28.95
*
59.16
0.74
0.12
10
40.80
6.12
9.00
38.65
*
4.36
1.04
0.03
11
75.94
*
11.50
6.13
2.10
3.28
0.96
0.08
12
10.97
23.93
32.92
*
17.87
12.90
1.32
0.09
13
4.54
8.98
45.92
*
10.06
27.36
3.00
0.14
14
23.88
20.69
25.56
*
6.65
21.81
1.27
0.13
15
15.31
38.65
*
20.67
13.69
7.30
4.30
0.08
16
16.10
17.21
15.75
40.36
*
7.68
2.80
0.10
17
19.44
22.97
17.10
28.70
*
7.07
4.61
0.11
18
20.98
16.76
17.73
12.80
27.34
*
4.21
0.19
19
33.92
22.82
*
10.81
19.21
8.75
4.34
0.15
20
17.08
25.34
*
30.59
10.95
9.80
6.09
0.15
21
36.04
18.22
22.80
*
12.94
3.53
6.34
0.13
22
24.08
*
20.31
18.61
18.01
11.16
7.56
0.26
23
10.53
19.38
25.31
*
24.90
10.99
8.63
0.26
24
25.76
19.73
22.79
*
12.35
10.36
8.83
0.18
25
21.39
*
16.66
18.17
15.50
19.12
9.03
0.13
( * ) Correct Response
( ? ) Response the computer was unable to read due to incomplete erasures or two answers marked for the same problem
2008 Breakdown of Scores
Male/Female
Cumulative
Score
Grade
Male
Female
Total*
5
6
7
8
277
57
329
334
25
1
25
90
217
566
148
718
1,047
24
7
39
192
480
943
295
1,248
2,295
23
14
61
354
810
1,161
423
1,602
3,897
22
38
86
431
1,028
1,422
603
2,058
5,955
21
35
141
569
1,280
1,744
783
2,558
8,513
20
46
158
762
1,562
2,114
1,036
3,194
11,707
19
48
216
916
1,980
2,538
1,341
3,943
15,650
18
67
269
1,165
2,392
2,930
1,703
4,702
20,352
17
95
327
1,405
2,804
3,752
2,506
6,350
26,702
16
107
483
1,758
3,348
4,212
2,930
7,277
33,979
15
133
595
2,197
4,224
4,725
3,841
8,729
42,708
14
132
785
2,718
4,971
5,518
4,880
10,590
53,298
13
162
1,055
3,394
5,825
6,177
6,020
12,459
65,757
12
182
1,428
4,088
6,527
6,824
6,977
14,113
79,870
11
197
1,764
4,735
7,177
7,072
7,387
14,752
94,622
10
197
2,027
4,966
7,297
6,644
7,315
14,256
108,878
9
240
2,211
5,055
6,503
5,924
6,636
12,788
121,666
8
226
2,222
4,559
5,573
4,951
5,363
10,513
132,179
7
236
2,072
3,609
4,413
3,546
3,911
7,621
139,800
6
200
1,540
2,668
3,088
2,342
2,382
4,820
144,620
5
140
1,140
1,627
1,849
1,277
1,178
2,513
147,133
4
107
588
868
915
510
516
1,048
148,181
3
51
278
359
344
185
174
369
148,550
2
14
94
134
119
48
40
89
148,639
1
4
18
26
39
125
81
208
148,847
0(@)
7
34
117
48
124
109
253
149,100
0($)
6
44
86
96
(*)
(@)
( $ )
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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