2006 AMC8 Report for all schools in New York
Number of schools returning results 116
Average of school highest score 18.06
Average school team score 49.93
# of State Student Participants 9060
Overall State Average Score 9.68
Average Score by Grade level
Grade # of Students Average
5th 59 7.03
6th 751 8.03
7th 2930 9.15
8th 5173 10.26
Number of Female Students 4179
Average Score of Female Students 9.22
Average Female Scores by Grade
Grade # of Students Average
5th 26 7.35
6th 344 7.68
7th 1308 8.63
8th 2461 9.77
Number of Male Participants 4666
Average Score of Male Participants 10.10
Average score for Males by Grade
Grade # of Students Average
5th 30 6.87
6th 394 8.33
7th 1558 9.58
8th 2610 10.72
2006 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 3 0 3
24 2 1 3
23 9 4 13
22 19 2 21
21 22 7 29
20 33 7 40
19 46 12 59
18 50 15 71
17 78 35 116
16 102 59 165
15 199 81 287
14 182 143 332
13 311 190 509
12 369 305 690
11 479 420 920
10 522 538 1086
9 586 556 1173
8 524 550 1103
7 441 492 957
6 317 362 694
5 200 216 425
4 100 120 225
3 48 29 78
2 11 17 28
1 6 4 10
0 (@) 0 0 0
0 ($) 7 14 23
(@) These students attempted some of the problems
($) 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 3
24 0 0 2 1
23 0 0 2 11
22 0 0 4 17
21 1 1 9 18
20 0 1 9 29
19 0 0 11 48
18 0 1 11 59
17 0 4 16 94
16 1 6 26 130
15 0 5 70 207
14 0 8 68 253
13 1 19 130 349
12 0 34 205 437
11 0 51 276 576
10 4 80 355 632
9 6 91 409 647
8 7 104 402 572
7 9 109 397 431
6 14 100 262 305
5 8 82 151 175
4 5 31 85 101
3 2 12 23 38
2 1 7 4 16
1 0 5 0 5
0(@) 0 0 3 19
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 9060 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.32 0.45 3.15 94.82* 0.96 0.29 0.01
2 3.92 3.58 84.33* 2.08 5.00 1.07 0.03
3 43.04* 7.60 23.25 13.32 10.86 1.87 0.07
4 4.03 66.30* 12.52 11.90 4.66 0.50 0.10
5 11.37 4.93 6.78 58.73* 15.40 2.68 0.11
6 5.22 19.54 55.75* 8.38 10.34 0.74 0.03
7 36.77 20.50* 10.50 14.50 16.35 1.31 0.08
8 11.07 5.73 11.79 11.56 58.32* 1.29 0.24
9 30.08 14.91 30.92* 10.49 10.45 3.06 0.10
10 20.15* 33.28 22.99 12.34 9.36 1.82 0.06
11 21.39 30.41 17.63* 18.44 8.92 3.13 0.08
12 5.65 6.08 40.15 38.11* 8.71 1.20 0.09
13 7.85 16.68 29.87 23.59* 18.61 3.26 0.15
14 6.36 79.11* 4.79 4.64 3.60 1.46 0.06
15 19.60 11.70 41.07* 13.29 9.93 4.24 0.17
16 16.57 20.01 23.89 13.27 19.86* 6.25 0.17
17 7.98 25.96* 12.27 36.37 13.50 3.81 0.11
18 10.97 14.29 22.91 20.99* 25.08 5.54 0.21
19 9.39 15.41 14.07 49.88* 5.86 5.13 0.25
20 12.12 21.18 30.68* 17.97 11.37 6.52 0.15
21 17.04* 16.28 20.57 21.84 16.13 7.89 0.24
22 19.82 30.07 18.71 16.83* 7.01 7.38 0.18
23 19.76* 16.83 20.57 13.10 20.96 8.30 0.47
24 13.90* 17.46 28.09 19.06 12.27 9.05 0.17
25 16.18 21.03* 21.60 15.96 15.49 9.66 0.09
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem