2007 AMC8 Report for all schools in California
Number of schools returning results 180
Average of school highest score 18.84
Average school team score 50.72
# of State Student Participants 13871
Overall State Average Score 10.63
Average Score by Grade level
Grade # of Students Average
5th 290 8.84
6th 2268 9.17
7th 4400 10.45
8th 6509 11.42
Number of Female Students 6366
Average Score of Female Students 9.96
Average Female Scores by Grade
Grade # of Students Average
5th 122 7.86
6th 997 8.38
7th 1984 9.84
8th 3126 10.70
Number of Male Participants 7052
Average Score of Male Participants 11.22
Average score for Males by Grade
Grade # of Students Average
5th 167 9.51
6th 1226 9.78
7th 2252 11.00
8th 3268 12.08
2007 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 11 2 14
24 24 8 32
23 39 10 50
22 65 19 84
21 83 28 113
20 99 33 139
19 132 52 189
18 160 75 243
17 209 134 355
16 290 162 463
15 343 224 583
14 453 326 805
13 563 412 1009
12 621 503 1165
11 651 624 1331
10 719 685 1458
9 657 710 1425
8 588 665 1293
7 452 566 1056
6 366 427 811
5 241 300 553
4 139 200 345
3 66 131 200
2 53 46 102
1 15 17 33
0 (@) 2 2 4
0 ($) 11 5 16
(@) These students attempted some of the problems
($) 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 1 2 10
24 0 3 9 20
23 0 10 6 34
22 1 6 22 53
21 1 6 27 79
20 1 4 35 97
19 6 11 38 131
18 3 22 71 144
17 6 30 107 209
16 4 49 125 276
15 6 59 195 310
14 11 89 237 451
13 18 116 323 533
12 9 157 390 581
11 21 180 448 658
10 22 217 486 683
9 29 244 464 641
8 21 256 443 519
7 35 235 326 421
6 37 206 247 286
5 25 169 177 164
4 17 79 110 117
3 10 63 70 48
2 5 39 24 30
1 2 11 9 9
0(@) 0 6 9 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 2007
American Mathematics Contest 8
Tabulation of responses by 13871 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 3.87 3.89 3.37 85.40* 3.09 0.37 0.01
2 15.60 2.44 2.98 5.09 73.42* 0.42 0.04
3 6.02 8.98 69.84* 11.44 2.88 0.74 0.10
4 7.22 15.62 4.25 48.89* 23.52 0.37 0.13
5 4.61 87.04* 4.01 1.60 2.34 0.35 0.05
6 5.02 23.84 29.93 4.16 35.66* 1.31 0.08
7 9.57 14.53 4.90 61.91* 7.76 1.31 0.02
8 4.43 64.32* 5.74 16.11 8.56 0.77 0.06
9 3.71 77.88* 3.47 2.67 11.71 0.52 0.04
10 26.91 8.52 30.17 25.36* 4.59 4.39 0.06
11 6.38 7.87 21.74 38.25* 23.73 1.97 0.07
12 47.84* 12.85 12.97 13.53 10.70 2.03 0.08
13 45.20 27.76 17.18* 5.02 2.51 2.31 0.03
14 45.16 14.68 18.58* 6.44 12.57 2.52 0.06
15 48.37* 6.17 5.39 18.96 19.17 1.79 0.15
16 30.11* 7.09 8.59 44.08 7.46 2.59 0.07
17 9.42 26.94 36.23* 17.16 6.91 3.27 0.06
18 5.99 15.73 17.50 48.53* 7.97 4.24 0.04
19 24.09 29.18 24.34* 11.06 6.21 5.02 0.09
20 27.85* 15.48 18.85 14.18 16.29 7.25 0.10
21 9.00 18.85 35.46 13.94* 16.39 6.19 0.17
22 8.41 27.73 23.97* 21.64 9.84 8.28 0.12
23 8.11 25.10* 32.81 16.40 10.30 7.14 0.14
24 25.51 20.50 18.55* 13.96 13.51 7.82 0.15
25 13.92 14.25* 34.86 13.46 13.97 9.47 0.07
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem