2005 State Report for North Carolina
Number of schools returning results 94
Average of school highest score 18.47
Average school team score 51.35
# of State Student Participants 9324
Overall State Average Score 9.97
Average Score by Grade level
Grade # of Students Average
5th 19 8.89
6th 1292 8.28
7th 3045 9.77
8th 4847 10.63
Number of Female Students 4580
Average Score of Female Students 9.66
Average Female Scores by Grade
Grade # of Students Average
5th 7 9.14
6th 625 7.71
7th 1486 9.39
8th 2440 10.32
Number of Male Participants 4541
Average Score of Male Participants 10.36
Average score for Males by Grade
Grade # of Students Average
5th 12 8.75
6th 658 8.85
7th 1510 10.15
8th 2334 10.96
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 1 0 1
24 3 1 4
23 3 2 5
22 17 3 20
21 22 8 30
20 29 17 47
19 44 20 64
18 66 44 111
17 95 72 170
16 176 124 304
15 214 149 374
14 286 252 542
13 326 325 664
12 415 387 812
11 454 427 896
10 459 457 930
9 444 459 916
8 362 467 852
7 331 419 768
6 302 368 690
5 216 246 479
4 148 166 332
3 77 101 185
2 32 47 87
1 12 17 31
0 (@) 3 2 5
0 ($) 4 0 5
(@) These students attempted some of the problems
($) 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 1 0
24 0 0 2 2
23 0 0 3 2
22 0 2 4 14
21 0 0 3 27
20 0 2 4 41
19 0 2 9 53
18 0 2 28 81
17 0 5 43 121
16 0 11 86 205
15 0 16 101 255
14 0 44 177 319
13 3 46 206 405
12 0 84 290 435
11 2 97 301 490
10 0 142 298 485
9 7 141 325 439
8 1 149 301 387
7 2 137 285 327
6 3 138 244 290
5 1 109 158 195
4 0 85 99 132
3 0 52 46 81
2 0 20 20 42
1 0 7 8 14
0(@) 0 1 3 5
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 9324 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.76 66.28* 24.94 7.52 0.24 0.25 0.02
2 10.42 15.37 67.27* 3.11 3.32 0.49 0.01
3 5.33 6.92 35.73 43.28* 8.30 0.43 0.02
4 23.82 4.48 59.72* 8.43 2.70 0.82 0.03
5 6.62 62.15* 7.99 3.54 19.32 0.29 0.10
6 16.21 18.68 31.67* 19.17 12.90 1.36 0.01
7 25.73 22.06* 7.29 41.56 2.68 0.60 0.08
8 13.60 10.08 12.13 7.98 55.00* 1.16 0.05
9 12.26 20.22 16.58 42.96* 5.88 2.06 0.04
10 3.97 3.44 3.70 84.29* 3.70 0.86 0.04
11 7.00 6.75 66.22* 7.04 11.21 1.77 0.02
12 4.87 5.03 22.27 58.01* 8.67 1.12 0.04
13 17.51 48.63 22.62* 5.82 4.14 1.27 0.01
14 14.83 37.37* 6.80 20.59 17.69 2.57 0.15
15 17.66 23.65 25.88* 11.64 16.55 4.58 0.04
16 6.15 9.00 11.71 18.79* 51.01 3.23 0.12
17 12.48 2.63 32.37 5.35 44.33* 2.63 0.21
18 25.57 18.48 30.29* 15.20 5.56 4.80 0.11
19 37.82* 25.13 17.42 6.40 7.44 5.62 0.17
20 24.91* 21.48 22.70 14.98 6.44 9.40 0.09
21 24.10 35.38 22.66* 5.43 5.31 7.05 0.08
22 11.26 14.99 21.78 24.30 17.06* 10.38 0.21
23 10.51 20.81* 27.66 14.03 13.37 13.50 0.12
24 12.76 15.72* 23.86 17.32 15.80 14.45 0.09
25 20.30* 22.15 19.26 13.37 8.97 15.91 0.04
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem