2006 AMC8 Report for all schools in Missouri
Number of schools returning results 50
Average of school highest score 17.96
Average school team score 48.64
# of State Student Participants 2973
Overall State Average Score 9.91
Average Score by Grade level
Grade # of Students Average
5th 41 7.29
6th 190 8.56
7th 840 9.33
8th 1853 10.40
Number of Female Students 1352
Average Score of Female Students 9.54
Average Female Scores by Grade
Grade # of Students Average
5th 15 7.93
6th 83 8.24
7th 357 8.93
8th 881 9.95
Number of Male Participants 1560
Average Score of Male Participants 10.26
Average score for Males by Grade
Grade # of Students Average
5th 24 6.83
6th 105 8.72
7th 471 9.65
8th 940 10.84
2006 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 4 0 4
24 4 0 4
23 4 1 5
22 0 2 2
21 10 3 13
20 11 1 13
19 13 5 18
18 16 8 24
17 23 17 41
16 47 18 66
15 53 37 91
14 86 51 137
13 115 90 208
12 118 96 219
11 165 128 298
10 189 179 379
9 177 191 377
8 170 164 338
7 140 152 299
6 81 90 180
5 73 64 139
4 42 30 72
3 10 18 29
2 6 4 10
1 1 2 3
0 (@) 0 0 0
0 ($) 2 1 4
(@) These students attempted some of the problems
($) These students attempted none of the problems
(*) Total includes students who failed to mark their gender
2006 American Mathematics Contest 8
Number of Students by Grade
Achieving indicated Score
SCORE 5th Grade 6th Grade 7th Grade 8th Grade
25 0 0 0 4
24 0 1 0 3
23 0 0 0 5
22 0 1 0 1
21 0 0 2 10
20 1 1 2 9
19 0 0 6 12
18 0 1 3 20
17 0 1 8 32
16 0 2 18 44
15 1 1 17 70
14 0 3 26 106
13 1 9 50 147
12 1 5 57 155
11 0 19 69 208
10 3 22 116 231
9 3 14 99 254
8 8 28 112 182
7 6 36 108 144
6 4 19 63 90
5 4 14 51 68
4 6 7 23 35
3 2 5 5 15
2 1 1 3 5
1 0 0 0 2
0(@) 0 0 2 1
0($) 0 0 0 0
(@) These students attempted some of the problems
($) These students attempted none of the problems
Note: Some students failed to indicate a grade
Table of Item Difficulty for the 2006
American Mathematics Contest 8
Tabulation of responses by 2973 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.24 0.81 3.57 94.35* 0.91 0.13 0.00
2 4.61 2.52 88.60* 1.48 2.19 0.57 0.03
3 46.75* 7.10 22.74 12.85 9.05 1.45 0.07
4 3.77 67.27* 11.87 11.27 5.18 0.61 0.03
5 8.64 4.94 4.17 63.13* 17.32 1.72 0.07
6 6.19 21.90 52.77* 7.30 11.34 0.47 0.03
7 42.55 15.64* 9.05 15.57 15.67 1.41 0.10
8 10.19 5.42 10.16 10.49 62.43* 1.21 0.10
9 28.62 15.81 31.65* 10.80 10.23 2.79 0.10
10 18.87* 37.47 22.91 11.07 8.14 1.51 0.03
11 19.88 33.03 16.21* 18.87 8.95 2.96 0.10
12 3.67 5.58 34.51 46.28* 8.81 1.11 0.03
13 7.87 18.37 28.32 24.69* 18.10 2.56 0.10
14 5.79 80.73* 4.51 4.31 3.26 1.38 0.03
15 20.75 9.92 43.63* 12.41 10.23 2.99 0.07
16 16.65 19.78 22.47 13.25 22.77* 5.01 0.07
17 7.10 23.92* 11.03 41.61 13.08 3.16 0.10
18 9.52 13.69 22.27 21.06* 28.32 4.91 0.24
19 9.05 13.89 12.55 53.92* 5.28 5.18 0.13
20 12.18 21.70 30.78* 16.99 12.04 6.22 0.10
21 16.89* 15.61 19.11 22.27 18.16 7.74 0.24
22 21.29 28.69 17.66 17.12* 7.00 8.14 0.10
23 18.06* 15.67 19.95 12.08 25.06 8.95 0.24
24 13.29* 18.23 27.28 18.53 12.34 10.23 0.10
25 16.92 20.15* 21.80 14.87 15.64 10.49 0.13
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem