2006 AMC8 Report for all schools in California
Number of schools returning results 171
Average of school highest score 18.57
Average school team score 50.22
# of State Student Participants 13065
Overall State Average Score 10.76
Average Score by Grade level
Grade # of Students Average
5th 306 9.36
6th 1756 9.40
7th 4246 10.47
8th 6544 11.40
Number of Female Students 5987
Average Score of Female Students 10.22
Average Female Scores by Grade
Grade # of Students Average
5th 121 8.48
6th 782 8.95
7th 1913 9.83
8th 3131 10.83
Number of Male Participants 6767
Average Score of Male Participants 11.26
Average score for Males by Grade
Grade # of Students Average
5th 184 9.92
6th 938 9.76
7th 2275 11.01
8th 3297 11.95
2006 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 23 4 27
24 36 6 42
23 45 6 52
22 60 14 78
21 70 32 104
20 94 43 138
19 117 59 177
18 166 89 262
17 218 93 317
16 267 167 445
15 345 220 577
14 357 313 683
13 497 408 928
12 595 506 1127
11 620 628 1282
10 709 631 1368
9 657 709 1397
8 649 637 1324
7 475 537 1042
6 322 411 752
5 227 241 481
4 122 142 269
3 57 57 116
2 19 19 38
1 4 4 8
0 (@) 1 3 4
0 ($) 15 8 27
(@) These students attempted some of the problems
($) 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 9 17
24 1 1 13 27
23 3 6 12 31
22 2 5 16 52
21 0 4 23 74
20 2 16 32 87
19 3 14 57 100
18 3 14 89 153
17 2 20 91 201
16 1 25 136 277
15 11 37 159 362
14 11 47 212 409
13 20 83 270 545
12 18 112 364 619
11 20 171 427 646
10 31 204 432 673
9 48 227 469 624
8 26 235 463 575
7 31 188 368 441
6 24 161 259 285
5 24 108 175 168
4 11 42 114 96
3 10 22 43 39
2 2 8 7 21
1 1 2 0 5
0(@) 1 3 6 17
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 13065 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.24 0.90 3.43 94.08* 1.14 0.20 0.02
2 4.00 2.40 90.00* 1.16 1.71 0.70 0.03
3 50.20* 7.27 20.23 11.35 9.28 1.61 0.05
4 4.06 67.62* 11.66 10.62 5.43 0.56 0.05
5 8.97 4.26 5.73 64.06* 14.44 2.50 0.05
6 3.95 17.23 60.60* 7.68 9.93 0.60 0.02
7 33.01 26.62* 10.47 12.00 16.75 1.05 0.09
8 11.27 4.85 11.40 9.77 61.35* 1.18 0.18
9 24.12 13.28 42.34* 8.63 8.66 2.95 0.02
10 28.50* 28.92 24.39 8.98 7.61 1.57 0.05
11 19.07 32.90 18.81* 17.14 8.33 3.64 0.11
12 4.49 5.69 30.55 50.05* 7.93 1.22 0.06
13 7.49 16.17 30.91 26.34* 15.51 3.51 0.08
14 5.60 80.99* 4.36 4.49 3.15 1.36 0.06
15 17.21 10.00 46.18* 12.76 9.50 4.25 0.10
16 15.54 19.20 21.31 12.74 24.23* 6.87 0.12
17 7.62 30.03* 11.44 34.33 12.35 4.13 0.11
18 9.73 12.24 22.17 25.45* 24.26 6.02 0.15
19 8.20 12.94 12.15 55.50* 5.40 5.62 0.19
20 10.88 20.62 34.21* 15.94 11.03 7.19 0.13
21 19.91* 15.84 20.00 20.00 15.03 9.04 0.18
22 18.68 29.60 17.81 17.86* 6.71 9.18 0.16
23 23.02* 15.80 18.28 11.69 20.63 10.23 0.36
24 16.17* 16.14 25.89 17.92 11.81 11.96 0.11
25 15.26 22.05* 19.89 15.97 14.45 12.32 0.07
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem