2006 AMC8 Report for all schools in Ohio
Number of schools returning results 70
Average of school highest score 17.29
Average school team score 45.96
# of State Student Participants 3627
Overall State Average Score 9.74
Average Score by Grade level
Grade # of Students Average
5th 83 6.39
6th 463 8.60
7th 1281 9.45
8th 1775 10.40
Number of Female Students 1788
Average Score of Female Students 9.27
Average Female Scores by Grade
Grade # of Students Average
5th 42 6.38
6th 226 7.56
7th 632 9.00
8th 879 10.06
Number of Male Participants 1796
Average Score of Male Participants 10.21
Average score for Males by Grade
Grade # of Students Average
5th 39 6.54
6th 232 9.59
7th 632 9.91
8th 880 10.74
2006 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 0 2 2
24 6 2 8
23 5 4 9
22 11 1 12
21 7 2 9
20 10 2 12
19 18 10 28
18 27 6 33
17 38 14 52
16 47 36 83
15 59 37 98
14 73 67 144
13 116 84 205
12 161 123 285
11 167 187 358
10 196 192 391
9 223 250 479
8 198 204 407
7 172 203 379
6 125 165 294
5 78 110 192
4 34 50 84
3 13 25 38
2 3 9 13
1 0 1 1
0 (@) 0 0 0
0 ($) 9 2 11
(@) These students attempted some of the problems
($) 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 2
24 0 0 3 5
23 0 0 4 5
22 0 0 2 9
21 0 0 5 4
20 0 2 5 5
19 0 2 6 20
18 0 2 8 23
17 0 3 18 31
16 0 8 19 55
15 0 5 25 67
14 0 11 44 88
13 0 19 58 127
12 2 37 84 160
11 3 33 129 191
10 3 40 147 199
9 10 63 186 217
8 8 47 163 186
7 12 57 157 151
6 15 60 97 116
5 11 35 73 73
4 10 22 26 26
3 4 11 17 6
2 4 4 3 2
1 0 1 0 0
0(@) 1 1 2 7
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 3627 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.17 0.66 4.11 93.82* 0.94 0.30 0.00
2 4.52 2.65 88.78* 1.35 2.01 0.66 0.03
3 41.94* 6.23 26.03 13.23 11.17 1.35 0.06
4 4.58 65.59* 13.01 10.92 5.43 0.41 0.06
5 9.43 4.55 5.21 62.15* 16.87 1.76 0.03
6 5.98 23.08 50.59* 7.14 12.41 0.77 0.03
7 41.74 17.70* 10.01 14.94 14.23 1.27 0.11
8 10.09 5.21 11.75 11.14 60.38* 1.30 0.14
9 27.13 17.09 31.43* 10.84 10.53 2.84 0.14
10 19.85* 34.49 24.18 10.70 9.35 1.41 0.03
11 21.20 32.37 15.94* 17.56 9.54 3.28 0.11
12 4.00 5.62 36.39 42.57* 9.90 1.35 0.17
13 8.19 17.15 28.67 24.23* 18.97 2.65 0.14
14 6.34 78.83* 4.80 5.54 3.69 0.74 0.06
15 22.91 9.59 42.24* 11.97 10.48 2.73 0.08
16 18.11 19.60 21.67 13.95 21.86* 4.66 0.14
17 9.48 23.66* 11.44 39.40 13.56 2.40 0.06
18 10.17 13.48 23.33 21.45* 27.30 4.14 0.14
19 8.49 14.25 13.54 54.04* 5.73 3.72 0.22
20 11.47 22.30 30.63* 18.06 12.32 5.05 0.17
21 17.26* 15.41 19.11 21.92 19.82 6.20 0.28
22 21.37 28.48 18.75 17.12* 7.28 6.84 0.17
23 18.22* 16.24 19.82 11.91 25.53 7.78 0.50
24 13.04* 17.98 27.85 19.16 12.88 8.99 0.11
25 17.48 20.49* 20.54 16.32 15.30 9.79 0.08
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem