2004 AMC8 Report for all schools in Massachusetts
Number of schools returning results 50
Average of school highest score 18.66
Average school team score 51.94
# of State Student Participants 3841
Overall State Average Score 10.15
Average Score by Grade level
Grade # of Students Average
5th 36 8.81
6th 463 8.77
7th 1371 9.59
8th 1952 10.90
Number of Female Students 1815
Average Score of Female Students 9.62
Average Female Scores by Grade
Grade # of Students Average
5th 17 8.41
6th 184 8.11
7th 673 9.10
8th 934 10.32
Number of Male Participants 1980
Average Score of Male Participants 10.63
Average score for Males by Grade
Grade # of Students Average
5th 19 9.16
6th 279 9.20
7th 682 10.09
8th 993 11.45
2004 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 0 0 0
24 2 0 2
23 2 0 2
22 8 3 11
21 11 3 14
20 20 6 26
19 28 13 42
18 32 9 41
17 51 17 68
16 67 34 104
15 93 71 166
14 121 82 206
13 143 117 264
12 172 130 308
11 183 178 363
10 212 202 417
9 209 210 425
8 201 252 456
7 170 172 347
6 111 134 249
5 82 96 181
4 37 51 89
3 15 28 43
2 4 4 8
1 0 1 1
0 (@) 0 0 0
0 ($) 6 2 8
(@) These students attempted some of the problems
($) These students attempted none of the problems
(*) Total includes students who failed to mark their gender
2004 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 0
24 0 0 1 1
23 0 0 0 2
22 0 0 3 8
21 0 0 3 11
20 0 0 4 22
19 0 2 9 31
18 1 3 10 27
17 1 4 21 42
16 0 6 27 70
15 1 8 46 111
14 1 19 48 138
13 0 21 95 146
12 1 23 107 176
11 3 37 116 206
10 6 42 149 216
9 3 61 163 196
8 6 67 182 200
7 4 55 147 138
6 3 53 93 98
5 4 28 76 72
4 1 18 47 22
3 1 13 16 13
2 0 1 3 4
1 0 1 0 0
0(@) 0 1 5 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 2004
American Mathematics Contest 8
Tabulation of responses by 3841 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.59 90.65* 4.24 0.99 1.98 0.52 0.03
2 5.34 49.73* 34.99 8.33 0.86 0.76 0.00
3 74.77* 13.56 6.43 2.40 1.54 1.20 0.10
4 2.79 53.76* 19.63 12.16 10.54 1.04 0.08
5 11.22 2.19 17.44 61.16* 7.47 0.44 0.08
6 19.42 16.32 52.07* 6.51 3.85 1.80 0.03
7 2.34 48.37* 6.27 38.43 3.64 0.83 0.10
8 25.33 51.52* 10.00 4.76 6.12 2.24 0.03
9 8.62 12.94 13.28 39.29* 22.44 3.33 0.10
10 3.05 6.27 4.92 23.87 60.79* 1.02 0.08
11 5.26 15.99 64.80* 7.42 4.63 1.90 0.00
12 24.03 22.88* 14.14 24.24 11.53 3.12 0.05
13 31.94 8.59 13.75 16.25 26.71* 2.66 0.10
14 13.17 28.98 35.82* 14.16 3.75 4.11 0.00
15 15.02 14.06 37.18* 16.30 15.02 2.34 0.08
16 4.56 9.89 20.72* 6.61 53.81 4.17 0.23
17 5.47 20.75 25.20 23.01* 21.43 4.04 0.10
18 41.40* 6.72 18.59 20.70 6.17 6.38 0.05
19 20.23 36.42* 16.38 10.15 7.78 8.98 0.05
20 10.99 21.97 26.09 24.11* 8.41 8.36 0.08
21 10.91 17.65 21.14 24.24* 17.24 8.62 0.21
22 11.12 16.40* 12.86 8.85 40.95 9.58 0.23
23 37.26 8.62 8.28 22.10* 13.49 9.95 0.31
24 14.45 20.05 22.73* 16.14 12.99 13.54 0.10
25 15.52 23.54 14.06 14.03* 19.68 13.12 0.05
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem