2007 AMC8 Report for all schools in Massachusetts
Number of schools returning results 63
Average of school highest score 18.51
Average school team score 50.43
# of State Student Participants 4668
Overall State Average Score 9.98
Average Score by Grade level
Grade # of Students Average
5th 111 7.59
6th 827 8.33
7th 1467 9.61
8th 2218 10.95
Number of Female Students 2183
Average Score of Female Students 9.47
Average Female Scores by Grade
Grade # of Students Average
5th 44 6.77
6th 374 7.87
7th 699 8.99
8th 1053 10.48
Number of Male Participants 2379
Average Score of Male Participants 10.45
Average score for Males by Grade
Grade # of Students Average
5th 65 8.12
6th 440 8.72
7th 743 10.24
8th 1109 11.40
2007 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 2 2 4
24 9 2 11
23 12 1 13
22 12 4 16
21 20 5 25
20 17 10 28
19 25 13 42
18 42 17 60
17 59 29 91
16 78 40 120
15 89 69 161
14 143 81 230
13 141 124 270
12 198 171 380
11 234 220 460
10 262 239 513
9 234 261 505
8 202 226 440
7 210 220 436
6 153 180 341
5 111 100 218
4 65 91 161
3 37 48 88
2 14 18 33
1 6 6 12
0 (@) 1 1 2
0 ($) 3 5 8
(@) These students attempted some of the problems
($) These students attempted none of the problems
(*) Total includes students who failed to mark their gender
2007 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 1 3 7
23 0 0 8 5
22 1 1 3 11
21 0 2 7 16
20 0 1 9 16
19 2 2 12 24
18 0 2 19 39
17 0 3 26 60
16 0 4 32 83
15 2 16 41 99
14 2 15 52 159
13 3 38 66 162
12 6 51 101 220
11 4 63 144 248
10 4 91 167 248
9 13 103 163 221
8 14 86 151 184
7 15 86 157 170
6 12 101 122 101
5 11 55 82 68
4 11 54 54 41
3 5 26 35 22
2 3 16 8 6
1 3 5 2 2
0(@) 0 5 3 2
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 2007
American Mathematics Contest 8
Tabulation of responses by 4668 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 4.16 3.26 3.83 85.45* 2.74 0.56 0.00
2 21.02 3.64 3.53 6.04 64.74* 0.92 0.11
3 5.96 9.30 68.68* 11.08 3.77 1.16 0.06
4 6.41 12.51 4.16 51.33* 25.17 0.36 0.06
5 5.21 85.90* 4.28 1.65 2.46 0.49 0.00
6 5.81 22.17 34.64 4.22 31.11* 1.95 0.11
7 9.08 15.45 5.53 59.02* 8.89 1.93 0.11
8 4.73 57.90* 6.79 18.51 10.09 1.91 0.06
9 3.41 79.01* 2.66 3.58 10.56 0.71 0.09
10 27.70 8.87 30.08 22.00* 5.91 5.40 0.04
11 6.13 8.03 20.99 34.64* 26.50 3.53 0.17
12 49.89* 13.65 12.21 11.14 9.79 3.17 0.15
13 46.19 26.59 15.10* 5.38 3.17 3.45 0.13
14 42.50 15.60 14.20* 7.37 16.22 4.07 0.04
15 44.71* 6.62 5.91 19.22 20.35 2.96 0.24
16 23.93* 7.37 8.61 48.39 7.26 4.37 0.06
17 10.50 27.06 33.57* 16.09 7.11 5.53 0.15
18 7.90 15.72 16.28 43.87* 9.23 6.83 0.15
19 23.61 29.86 21.49* 9.90 6.41 8.57 0.17
20 24.98* 14.37 16.75 13.50 19.07 11.16 0.17
21 8.50 18.89 33.05 12.66* 16.99 9.77 0.13
22 8.44 25.75 22.47* 21.70 8.72 12.72 0.19
23 8.14 22.07* 33.87 14.91 9.06 11.74 0.21
24 24.06 20.16 16.56* 13.22 13.35 12.55 0.11
25 13.67 12.55* 32.60 12.17 14.22 14.63 0.15
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem