2005 State Report for Illinois
Number of schools returning results 75
Average of school highest score 17.41
Average school team score 47.77
# of State Student Participants 4308
Overall State Average Score 9.78
Average Score by Grade level
Grade # of Students Average
5th 53 8.62
6th 459 8.50
7th 1395 9.49
8th 2290 10.26
Number of Female Students 1977
Average Score of Female Students 9.41
Average Female Scores by Grade
Grade # of Students Average
5th 20 7.70
6th 188 8.33
7th 636 9.13
8th 1089 9.79
Number of Male Participants 2249
Average Score of Male Participants 10.09
Average score for Males by Grade
Grade # of Students Average
5th 33 9.18
6th 270 8.60
7th 743 9.75
8th 1155 10.70
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 0 1 1
24 1 2 3
23 5 3 8
22 7 1 8
21 16 9 26
20 27 6 33
19 23 17 41
18 47 25 74
17 59 34 97
16 67 44 112
15 90 68 161
14 129 90 222
13 141 107 256
12 154 134 302
11 203 167 380
10 197 184 382
9 209 208 422
8 209 203 420
7 193 183 380
6 174 185 363
5 137 124 264
4 84 103 193
3 36 50 87
2 23 20 43
1 4 4 9
0 (@) 3 2 5
0 ($) 11 3 16
(@) These students attempted some of the problems
($) 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 1
24 0 0 1 2
23 0 0 2 6
22 0 0 1 7
21 0 0 8 18
20 0 0 9 24
19 0 0 13 26
18 1 1 24 46
17 0 8 35 53
16 1 7 46 56
15 1 9 35 113
14 1 20 66 130
13 4 22 79 143
12 3 26 86 175
11 7 41 117 198
10 4 44 104 224
9 5 45 137 227
8 9 39 136 225
7 3 46 131 189
6 2 48 127 179
5 3 43 105 110
4 4 28 75 83
3 0 18 33 34
2 4 11 14 13
1 0 0 5 4
0(@) 1 3 6 4
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 4308 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.86 65.16* 26.39 6.89 0.21 0.49 0.00
2 12.14 15.51 63.32* 4.25 3.78 0.97 0.02
3 6.20 6.85 33.03 43.83* 9.08 0.93 0.09
4 29.55 4.67 52.92* 8.52 3.16 1.16 0.02
5 5.87 64.00* 8.91 4.06 16.43 0.65 0.07
6 18.62 17.97 31.17* 15.53 14.97 1.69 0.05
7 22.38 24.07* 8.08 41.53 2.81 1.11 0.02
8 15.20 11.70 12.44 8.54 50.58* 1.39 0.14
9 13.25 20.87 17.76 39.58* 5.83 2.60 0.12
10 4.13 3.57 2.76 84.56* 4.04 0.91 0.02
11 8.89 7.54 60.65* 7.06 13.63 2.14 0.09
12 4.92 6.55 24.07 51.67* 11.37 1.35 0.07
13 18.64 43.22 24.05* 7.20 5.22 1.62 0.05
14 15.48 35.56* 5.87 19.87 20.61 2.55 0.05
15 18.71 23.82 26.07* 12.42 14.81 4.02 0.16
16 6.06 8.80 10.42 19.96* 51.72 2.97 0.07
17 12.74 2.81 31.36 7.34 43.13* 2.53 0.09
18 27.97 18.38 29.69* 14.25 5.83 3.83 0.05
19 39.65* 25.44 15.18 7.45 7.66 4.48 0.14
20 25.88* 22.45 22.01 16.02 6.34 7.15 0.16
21 23.51 36.40 23.61* 5.94 5.80 4.64 0.09
22 11.79 14.93 20.29 26.42 18.85* 7.54 0.19
23 10.82 21.87* 26.95 13.90 15.67 10.65 0.14
24 13.30 15.16* 23.07 17.48 20.08 10.77 0.14
25 23.05* 22.86 17.60 14.23 10.07 12.12 0.07
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem