2005 State Report for Iowa
Number of schools returning results 43
Average of school highest score 16.98
Average school team score 46.60
# of State Student Participants 2562
Overall State Average Score 9.59
Average Score by Grade level
Grade # of Students Average
5th 3 10.00
6th 52 8.83
7th 966 8.64
8th 1522 10.20
Number of Female Students 1270
Average Score of Female Students 9.17
Average Female Scores by Grade
Grade # of Students Average
5th 2 7.50
6th 13 7.69
7th 474 8.41
8th 778 9.67
Number of Male Participants 1261
Average Score of Male Participants 10.00
Average score for Males by Grade
Grade # of Students Average
5th 1 15.00
6th 38 9.32
7th 484 8.89
8th 728 10.75
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 0 1 1
24 0 0 0
23 3 1 4
22 5 2 8
21 1 0 1
20 4 2 6
19 10 5 15
18 16 2 18
17 22 17 40
16 40 14 55
15 59 29 89
14 61 51 113
13 88 75 165
12 103 109 213
11 109 118 232
10 146 131 282
9 115 143 262
8 127 142 270
7 127 141 269
6 103 124 229
5 53 78 135
4 44 45 89
3 13 28 41
2 8 7 16
1 4 5 9
0 (@) 0 0 0
0 ($) 0 0 0
(@) These students attempted some of the problems
($) These students attempted none of the problems
(*) Total includes students who failed to mark their gender
2005 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 0
24 0 0 0 0
23 0 0 0 4
22 0 0 4 3
21 0 0 0 1
20 0 0 0 5
19 0 0 2 13
18 0 0 7 11
17 0 0 8 31
16 0 0 12 43
15 1 4 13 70
14 0 1 27 85
13 0 1 54 108
12 0 5 58 148
11 0 6 68 157
10 0 4 100 176
9 0 4 97 159
8 1 6 112 150
7 1 8 133 126
6 0 6 118 104
5 0 4 66 65
4 0 2 47 38
3 0 0 23 17
2 0 1 8 7
1 0 0 8 1
0(@) 0 0 0 0
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 2005
American Mathematics Contest 8
Tabulation of responses by 2562 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.94 62.96* 26.66 9.17 0.20 0.04 0.04
2 13.15 14.21 63.47* 4.61 4.29 0.20 0.08
3 6.99 7.26 35.17 41.33* 8.63 0.55 0.08
4 31.11 4.68 49.49* 10.81 3.43 0.47 0.00
5 6.48 65.34* 9.21 3.83 14.87 0.16 0.12
6 17.45 18.89 26.85* 20.88 14.72 1.21 0.00
7 25.57 19.79* 8.94 41.69 3.40 0.59 0.04
8 16.78 10.93 13.00 9.56 48.71* 0.94 0.08
9 13.23 20.69 20.61 38.10* 6.01 1.25 0.12
10 4.22 2.69 2.93 86.81* 2.89 0.47 0.00
11 8.12 7.85 61.09* 7.57 14.21 1.13 0.04
12 5.43 6.52 23.46 52.93* 11.01 0.62 0.04
13 21.90 46.45 19.44* 6.83 4.53 0.74 0.12
14 16.24 35.44* 6.32 20.06 20.18 1.68 0.08
15 21.51 24.08 27.56* 10.85 12.96 2.93 0.12
16 4.61 8.86 10.77 19.95* 54.06 1.56 0.20
17 13.47 2.97 30.84 6.28 45.20* 1.01 0.23
18 27.09 21.19 28.73* 15.07 5.19 2.50 0.23
19 38.72* 26.54 15.89 6.91 8.70 3.08 0.16
20 25.96* 24.12 23.30 16.08 5.82 4.68 0.04
21 27.28 37.63 22.87* 5.27 3.71 3.12 0.12
22 10.85 16.20 22.17 27.21 18.38* 5.00 0.20
23 10.73 21.82* 28.34 14.56 16.39 8.04 0.12
24 13.82 16.24* 22.68 17.56 21.16 8.35 0.20
25 21.58* 24.94 18.19 14.75 10.81 9.56 0.16
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem