2006 AMC8 Report for all schools in Illinois
Number of schools returning results 68
Average of school highest score 17.99
Average school team score 48.93
# of State Student Participants 4429
Overall State Average Score 10.01
Average Score by Grade level
Grade # of Students Average
5th 43 7.93
6th 643 8.71
7th 1459 9.62
8th 2211 10.73
Number of Female Students 2011
Average Score of Female Students 9.64
Average Female Scores by Grade
Grade # of Students Average
5th 21 7.67
6th 275 8.36
7th 658 9.18
8th 1038 10.32
Number of Male Participants 2324
Average Score of Male Participants 10.37
Average score for Males by Grade
Grade # of Students Average
5th 22 8.18
6th 361 8.98
7th 780 9.99
8th 1121 11.15
2006 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 3 1 4
24 6 5 11
23 9 1 10
22 6 3 9
21 18 3 21
20 16 8 25
19 26 13 40
18 41 15 56
17 46 36 84
16 91 40 132
15 85 60 146
14 115 98 221
13 148 97 249
12 179 147 332
11 222 200 429
10 242 224 476
9 261 235 505
8 247 255 514
7 201 208 416
6 161 162 332
5 104 100 211
4 56 63 122
3 30 23 58
2 9 11 21
1 2 3 5
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
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 0 1 10
23 0 0 3 6
22 0 0 2 7
21 0 1 4 15
20 1 0 4 19
19 0 2 10 27
18 0 2 15 38
17 0 8 22 53
16 0 10 39 81
15 0 6 58 81
14 3 20 63 132
13 0 29 83 136
12 0 45 93 189
11 5 51 124 244
10 2 57 156 257
9 4 79 168 249
8 5 83 181 233
7 4 82 143 182
6 9 74 126 117
5 6 52 80 64
4 4 21 50 43
3 0 16 20 19
2 0 3 11 5
1 0 2 3 0
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 2006
American Mathematics Contest 8
Tabulation of responses by 4429 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.32 0.72 4.09 93.70* 1.13 0.05 0.00
2 5.31 3.68 86.02* 1.96 2.48 0.54 0.00
3 44.03* 6.75 24.59 13.37 10.05 1.17 0.05
4 3.77 66.92* 13.03 10.34 5.76 0.16 0.02
5 9.17 4.13 4.70 63.65* 17.14 1.17 0.05
6 6.12 22.47 52.74* 7.34 10.88 0.41 0.05
7 40.48 18.60* 9.75 14.70 15.35 0.95 0.16
8 9.62 5.94 11.38 10.43 61.89* 0.61 0.14
9 25.15 16.80 33.42* 11.27 11.11 2.24 0.02
10 21.90* 31.70 24.86 11.02 9.26 1.24 0.02
11 20.66 33.39 17.59* 16.91 8.47 2.84 0.14
12 3.54 5.44 34.97 46.38* 8.78 0.79 0.09
13 8.76 16.87 30.68 25.99* 15.40 2.19 0.11
14 7.20 78.39* 4.70 4.83 3.73 1.06 0.09
15 20.25 9.80 43.87* 12.21 10.05 3.73 0.09
16 16.10 19.98 21.11 13.93 23.17* 5.69 0.02
17 7.68 27.64* 12.35 34.59 13.71 3.86 0.18
18 10.30 13.12 22.76 22.44* 25.58 5.64 0.16
19 10.86 13.28 13.48 50.12* 6.28 5.85 0.14
20 11.18 20.41 32.96* 16.46 11.52 7.38 0.09
21 17.97* 16.89 17.63 21.54 16.50 9.26 0.20
22 19.51 28.31 17.54 17.63* 7.38 9.42 0.20
23 19.44* 16.05 19.49 11.81 21.97 10.91 0.34
24 14.16* 16.39 26.35 18.72 11.94 12.24 0.20
25 15.96 20.73* 20.00 14.61 16.05 12.62 0.02
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem