2005 State Report for Ohio
Number of schools returning results 67
Average of school highest score 17.40
Average school team score 48.03
# of State Student Participants 3862
Overall State Average Score 9.14
Average Score by Grade level
Grade # of Students Average
5th 31 7.61
6th 570 7.26
7th 1331 8.85
8th 1896 9.95
Number of Female Students 1932
Average Score of Female Students 8.73
Average Female Scores by Grade
Grade # of Students Average
5th 11 6.27
6th 288 6.51
7th 664 8.60
8th 959 9.53
Number of Male Participants 1883
Average Score of Male Participants 9.58
Average score for Males by Grade
Grade # of Students Average
5th 20 8.35
6th 280 8.05
7th 644 9.13
8th 921 10.38
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 0 0 0
24 4 0 4
23 2 3 5
22 5 2 7
21 9 4 13
20 14 3 17
19 16 5 21
18 23 16 39
17 26 21 50
16 59 35 94
15 59 40 100
14 83 63 147
13 107 109 218
12 144 98 245
11 170 155 330
10 169 199 373
9 172 195 370
8 200 192 396
7 194 218 416
6 132 209 346
5 130 156 288
4 91 107 204
3 43 69 114
2 19 17 36
1 8 13 22
0 (@) 1 2 3
0 ($) 3 1 4
(@) These students attempted some of the problems
($) These students attempted none of the problems
(*) Total includes students who failed to mark their gender
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 0 0
24 0 0 1 3
23 0 0 2 3
22 0 0 3 4
21 0 1 3 9
20 1 3 2 11
19 0 1 4 16
18 1 1 7 29
17 1 2 11 35
16 0 9 23 62
15 0 3 36 61
14 0 16 41 88
13 1 14 66 137
12 0 18 81 145
11 1 27 112 186
10 0 40 126 204
9 2 31 152 183
8 4 57 150 180
7 7 75 158 172
6 1 83 123 137
5 6 69 102 110
4 5 55 74 66
3 0 41 34 38
2 1 10 12 12
1 0 10 7 4
0(@) 0 4 1 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 2005
American Mathematics Contest 8
Tabulation of responses by 3862 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.80 61.70* 27.37 9.55 0.31 0.26 0.00
2 13.23 18.49 59.06* 4.09 4.48 0.62 0.03
3 5.96 9.24 33.40 42.93* 7.69 0.73 0.05
4 32.96 4.89 45.86* 10.51 4.53 1.19 0.05
5 8.13 56.63* 8.75 4.58 21.44 0.41 0.05
6 18.90 18.51 27.01* 18.25 15.64 1.66 0.03
7 23.61 19.94* 8.42 43.86 3.47 0.67 0.03
8 16.21 13.02 13.90 9.22 46.43* 1.11 0.10
9 14.55 20.09 18.15 37.16* 8.05 1.99 0.00
10 4.87 3.99 3.50 81.72* 4.92 0.93 0.08
11 8.78 8.57 58.67* 8.65 13.83 1.45 0.05
12 5.77 6.84 26.23 47.07* 12.51 1.40 0.18
13 21.23 43.14 20.09* 7.79 6.42 1.27 0.05
14 16.86 31.25* 6.68 21.52 21.36 2.12 0.21
15 19.94 25.22 25.79* 12.07 13.31 3.65 0.03
16 6.01 8.54 11.57 17.04* 54.74 1.97 0.13
17 11.91 3.50 32.55 7.15 43.27* 1.45 0.18
18 29.52 19.58 28.09* 14.60 5.54 2.49 0.18
19 39.44* 24.78 16.34 7.61 8.39 3.24 0.21
20 26.31* 22.45 21.72 15.85 7.90 5.67 0.10
21 26.62 35.58 22.45* 6.27 5.15 3.81 0.13
22 11.57 14.81 21.57 28.12 18.10* 5.57 0.26
23 10.67 20.35* 29.23 15.12 16.75 7.61 0.26
24 14.91 15.25* 24.29 17.35 19.91 8.18 0.10
25 22.50* 25.09 18.36 13.49 11.44 9.04 0.08
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem