2006 AMC8 Report for all schools in Iowa
Number of schools returning results 46
Average of school highest score 17.11
Average school team score 46.26
# of State Student Participants 2724
Overall State Average Score 9.82
Average Score by Grade level
Grade # of Students Average
5th 3 10.67
6th 56 10.46
7th 1087 8.82
8th 1508 10.54
Number of Female Students 1279
Average Score of Female Students 9.58
Average Female Scores by Grade
Grade # of Students Average
6th 16 9.56
7th 515 8.65
8th 731 10.23
Number of Male Participants 1385
Average Score of Male Participants 10.05
Average score for Males by Grade
Grade # of Students Average
5th 3 10.67
6th 39 10.85
7th 564 8.96
8th 756 10.81
2006 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 1 1 2
24 3 0 3
23 4 2 6
22 0 3 3
21 7 2 9
20 7 3 11
19 13 2 15
18 11 1 12
17 16 13 30
16 40 21 62
15 37 28 66
14 70 44 116
13 90 83 179
12 137 115 254
11 129 135 273
10 156 170 336
9 158 153 320
8 185 178 368
7 131 143 279
6 91 82 175
5 46 59 107
4 28 21 50
3 17 13 30
2 2 4 6
1 0 1 1
0 (@) 1 0 1
0 ($) 5 2 10
(@) These students attempted some of the problems
($) 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 1 1
24 0 0 0 3
23 0 1 0 5
22 0 0 0 3
21 0 0 0 9
20 0 0 1 10
19 0 1 4 10
18 0 1 4 5
17 0 1 5 24
16 1 2 15 43
15 0 1 10 54
14 0 1 29 85
13 0 4 40 132
12 0 3 76 169
11 0 4 95 166
10 0 11 133 178
9 1 10 137 159
8 0 10 166 185
7 1 2 153 117
6 0 2 98 72
5 0 2 55 49
4 0 0 36 13
3 0 0 19 11
2 0 0 4 2
1 0 0 0 1
0(@) 0 0 6 2
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 2724 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.15 0.88 3.63 94.05* 0.88 0.40 0.00
2 4.30 2.83 90.09* 1.21 0.95 0.59 0.04
3 45.48* 7.05 23.49 11.75 10.65 1.40 0.18
4 3.74 67.55* 13.07 10.46 4.66 0.48 0.04
5 8.74 4.33 4.81 61.27* 19.24 1.62 0.00
6 5.47 23.68 52.02* 7.12 10.94 0.70 0.07
7 44.93 15.38* 8.33 15.53 14.54 1.14 0.15
8 9.65 4.55 10.46 12.67 61.49* 0.99 0.18
9 30.40 16.81 29.00* 9.84 11.01 2.86 0.07
10 19.86* 33.63 24.85 10.98 9.18 1.40 0.11
11 20.74 31.42 16.78* 18.39 9.36 3.19 0.11
12 4.07 5.54 35.61 44.05* 9.69 1.03 0.00
13 8.41 18.43 26.95 25.11* 18.54 2.42 0.15
14 5.84 80.51* 4.48 5.10 3.05 0.99 0.04
15 20.70 10.46 41.52* 12.81 11.45 2.97 0.07
16 17.14 19.27 21.44 13.18 23.60* 5.29 0.07
17 8.41 24.30* 11.82 40.20 12.44 2.57 0.26
18 9.47 12.67 22.39 21.84* 29.81 3.74 0.07
19 9.58 14.21 12.59 53.45* 5.62 4.41 0.15
20 10.57 21.26 31.98* 17.66 12.59 5.87 0.07
21 15.31* 15.27 19.05 22.21 20.12 7.93 0.11
22 21.73 29.55 17.58 15.38* 7.34 8.19 0.22
23 17.91* 15.71 18.50 11.38 26.76 9.54 0.18
24 15.20* 13.99 27.97 17.44 13.40 11.93 0.07
25 15.86 19.05* 20.12 16.96 15.49 12.41 0.11
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem