2006 AMC8 Report for all schools in New Jersery
Number of schools returning results 67
Average of school highest score 18.18
Average school team score 49.01
# of State Student Participants 5372
Overall State Average Score 9.61
Average Score by Grade level
Grade # of Students Average
5th 39 9.00
6th 651 7.78
7th 1864 9.15
8th 2792 10.36
Number of Female Students 2523
Average Score of Female Students 9.21
Average Female Scores by Grade
Grade # of Students Average
5th 17 8.65
6th 320 7.51
7th 872 8.72
8th 1303 9.98
Number of Male Participants 2784
Average Score of Male Participants 9.96
Average score for Males by Grade
Grade # of Students Average
5th 20 9.50
6th 329 8.04
7th 973 9.54
8th 1452 10.69
2006 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 3 0 3
24 5 0 5
23 9 1 10
22 9 4 13
21 16 3 19
20 27 5 32
19 23 9 35
18 27 21 49
17 47 29 79
16 61 39 105
15 90 55 145
14 129 87 218
13 152 135 290
12 232 181 420
11 269 206 480
10 313 289 609
9 316 332 655
8 306 344 653
7 255 271 531
6 224 220 451
5 137 156 295
4 76 78 157
3 35 31 67
2 9 15 25
1 4 3 7
0 (@) 0 0 0
0 ($) 10 9 19
(@) These students attempted some of the problems
($) 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 1 0 2
24 0 1 0 4
23 0 1 3 6
22 1 0 4 8
21 0 0 1 18
20 1 0 8 23
19 0 1 8 25
18 0 1 13 35
17 1 1 13 63
16 0 3 22 80
15 0 6 29 110
14 0 7 69 141
13 0 10 96 184
12 5 33 139 242
11 3 36 163 277
10 3 54 224 325
9 4 82 235 328
8 7 93 254 299
7 3 84 206 235
6 6 95 161 187
5 3 76 102 110
4 0 40 63 52
3 1 16 24 26
2 1 7 11 6
1 0 0 5 2
0(@) 0 3 11 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 2006
American Mathematics Contest 8
Tabulation of responses by 5372 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.34 0.43 3.16 94.69* 0.99 0.37 0.02
2 5.44 4.19 80.42* 2.22 5.86 1.84 0.04
3 42.57* 7.11 25.86 12.34 10.05 2.03 0.04
4 4.04 65.79* 11.75 12.06 5.55 0.76 0.06
5 10.76 5.23 5.90 58.51* 16.40 3.07 0.13
6 5.45 21.11 50.80* 8.40 13.07 1.14 0.04
7 40.95 19.36* 8.88 14.46 14.45 1.82 0.07
8 10.83 5.16 12.16 10.63 59.62* 1.53 0.07
9 28.57 15.67 31.55* 10.63 9.53 3.97 0.07
10 21.50* 31.07 23.18 12.60 9.33 2.23 0.09
11 18.84 32.69 16.01* 19.02 8.88 4.43 0.13
12 3.83 6.40 39.71 39.48* 8.75 1.71 0.11
13 8.62 16.42 29.36 23.12* 17.91 4.41 0.17
14 5.68 78.89* 4.26 5.64 3.74 1.71 0.07
15 21.98 10.26 42.20* 11.17 9.31 5.06 0.02
16 16.33 19.04 21.00 13.37 22.30* 7.89 0.07
17 8.51 25.80* 11.80 35.44 13.59 4.71 0.15
18 11.04 13.92 21.52 20.36* 25.54 7.48 0.13
19 10.31 15.10 12.45 49.59* 5.66 6.76 0.13
20 11.58 21.52 30.79* 16.27 11.11 8.49 0.24
21 16.59* 15.04 19.49 21.54 16.05 11.15 0.15
22 19.34 28.98 17.85 15.73* 7.02 10.91 0.17
23 19.99* 15.90 17.81 12.66 21.05 12.27 0.32
24 14.46* 16.55 24.81 17.31 12.64 14.07 0.15
25 15.25 20.96* 18.63 15.04 15.58 14.52 0.02
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem