2005 State Report for California
Number of schools returning results 154
Average of school highest score 18.40
Average school team score 50.03
# of State Student Participants 11670
Overall State Average Score 10.39
Average Score by Grade level
Grade # of Students Average
5th 131 7.83
6th 1261 8.82
7th 3727 9.99
8th 6390 11.00
Number of Female Students 5489
Average Score of Female Students 9.91
Average Female Scores by Grade
Grade # of Students Average
5th 53 7.91
6th 549 8.24
7th 1735 9.50
8th 3102 10.48
Number of Male Participants 5887
Average Score of Male Participants 10.84
Average score for Males by Grade
Grade # of Students Average
5th 77 7.64
6th 696 9.27
7th 1930 10.44
8th 3132 11.51
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 6 0 7
24 21 2 24
23 24 8 32
22 32 10 42
21 48 17 68
20 55 34 90
19 83 42 128
18 112 63 180
17 144 96 249
16 226 146 381
15 288 204 498
14 394 302 711
13 468 389 875
12 538 442 1004
11 595 526 1155
10 551 557 1143
9 543 584 1168
8 487 543 1061
7 402 493 910
6 342 398 753
5 216 280 506
4 153 190 355
3 97 110 212
2 32 38 71
1 14 8 23
0 (@) 2 1 3
0 ($) 14 6 21
(@) These students attempted some of the problems
($) 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 2 5
24 0 0 6 18
23 0 0 9 23
22 0 2 12 28
21 0 2 12 53
20 0 5 20 64
19 1 7 23 97
18 1 2 45 130
17 4 14 71 157
16 0 15 103 260
15 3 32 129 327
14 1 48 213 437
13 7 62 297 499
12 4 91 313 585
11 6 97 371 665
10 13 126 343 647
9 13 124 380 630
8 7 151 354 522
7 14 143 314 431
6 18 123 266 341
5 12 92 181 217
4 10 63 130 144
3 14 38 78 76
2 3 7 34 26
1 0 9 9 4
0(@) 0 8 12 4
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 11670 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.90 68.25* 22.49 7.81 0.15 0.40 0.00
2 8.66 14.52 69.53* 3.02 3.62 0.63 0.03
3 5.44 7.01 36.42 42.00* 8.19 0.92 0.03
4 19.20 4.32 64.65* 7.69 3.20 0.93 0.01
5 6.04 63.32* 9.56 3.74 16.86 0.42 0.05
6 16.05 18.95 34.06* 15.35 14.08 1.46 0.06
7 24.14 25.47* 8.43 37.87 3.06 0.94 0.09
8 12.81 8.77 9.70 8.57 59.01* 1.00 0.14
9 11.75 21.00 16.43 43.72* 4.70 2.38 0.02
10 2.96 2.65 3.00 87.05* 3.16 1.17 0.01
11 8.69 7.34 61.23* 7.88 12.77 2.06 0.03
12 4.22 5.71 19.97 57.49* 11.38 1.20 0.04
13 14.58 46.14 29.32* 5.02 3.55 1.34 0.06
14 14.24 37.43* 6.00 21.00 18.56 2.67 0.09
15 17.63 21.83 25.47* 11.55 19.16 4.28 0.08
16 6.03 8.69 11.90 21.07* 49.18 2.90 0.23
17 10.61 3.49 28.82 7.44 47.27* 2.18 0.21
18 23.52 19.50 32.25* 15.24 5.89 3.48 0.11
19 39.31* 24.04 17.28 7.43 7.39 4.38 0.16
20 25.34* 22.34 22.18 16.08 6.62 7.34 0.10
21 22.20 35.45 25.43* 6.56 5.52 4.71 0.12
22 11.47 16.12 21.47 26.42 17.39* 6.94 0.20
23 9.98 22.01* 29.22 13.74 15.29 9.60 0.15
24 12.96 17.15* 23.87 18.77 17.06 10.06 0.14
25 23.86* 24.08 17.88 12.41 10.83 10.81 0.12
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem