2006 AMC8 Report for all schools in Arizona
Number of schools returning results 23
Average of school highest score 16.91
Average school team score 45.61
# of State Student Participants 1537
Overall State Average Score 8.99
Average Score by Grade level
Grade # of Students Average
5th 40 6.60
6th 284 7.85
7th 591 8.88
8th 602 9.78
Number of Female Students 742
Average Score of Female Students 8.64
Average Female Scores by Grade
Grade # of Students Average
5th 19 5.84
6th 128 7.49
7th 294 8.66
8th 297 9.27
Number of Male Participants 755
Average Score of Male Participants 9.32
Average score for Males by Grade
Grade # of Students Average
5th 18 7.44
6th 141 8.00
7th 292 9.11
8th 296 10.29
2006 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 1 0 1
24 2 0 2
23 3 0 3
22 0 1 1
21 1 1 2
20 2 0 2
19 5 2 7
18 7 0 7
17 7 4 11
16 10 7 18
15 21 9 32
14 28 14 42
13 33 26 60
12 48 40 92
11 59 67 129
10 97 83 183
9 90 102 198
8 101 119 226
7 85 107 200
6 73 72 150
5 43 41 85
4 25 39 64
3 12 5 17
2 1 2 3
1 1 1 2
0 (@) 0 0 0
0 ($) 0 0 0
(@) These students attempted some of the problems
($) 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 0 1 0
24 0 0 0 2
23 0 0 0 3
22 0 0 0 1
21 0 0 2 0
20 0 1 0 1
19 0 0 1 6
18 0 0 2 5
17 0 0 0 11
16 0 1 5 11
15 1 2 13 16
14 0 3 19 20
13 0 4 30 26
12 0 8 34 49
11 0 18 51 58
10 1 33 66 78
9 4 31 73 88
8 6 50 94 73
7 4 49 75 70
6 12 40 55 39
5 7 21 32 25
4 5 13 30 16
3 0 7 7 3
2 0 2 0 1
1 0 1 1 0
0(@) 0 0 0 0
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 1537 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.33 0.59 4.42 93.49* 1.17 0.00 0.00
2 5.14 2.41 86.47* 1.95 3.51 0.52 0.00
3 37.93* 7.61 29.73 12.36 11.65 0.65 0.07
4 4.03 62.26* 15.68 11.91 5.99 0.13 0.00
5 9.30 5.34 6.70 59.08* 18.61 0.98 0.00
6 6.57 22.77 46.19* 8.39 15.61 0.46 0.00
7 45.15 16.53* 9.30 15.35 13.08 0.52 0.07
8 10.61 8.20 12.69 13.21 54.33* 0.91 0.07
9 24.92 15.74 39.04* 9.37 8.85 1.95 0.13
10 16.59* 33.25 22.97 13.99 12.04 1.17 0.00
11 23.36 33.64 13.08* 18.28 9.43 2.02 0.20
12 5.07 7.22 43.46 32.47* 11.13 0.59 0.07
13 8.46 18.80 28.30 24.46* 17.76 2.21 0.00
14 8.59 73.26* 4.88 6.51 5.47 1.30 0.00
15 29.21 11.65 32.86* 13.14 10.34 2.73 0.07
16 17.18 20.04 23.81 15.68 18.22* 5.07 0.00
17 7.42 21.01* 12.23 40.79 15.09 3.45 0.00
18 10.28 14.25 23.81 19.00* 28.24 4.23 0.20
19 10.08 16.20 13.92 47.95* 6.70 4.88 0.26
20 11.65 22.97 27.98* 19.97 11.26 6.05 0.13
21 13.92* 16.27 19.65 23.23 19.45 7.03 0.46
22 21.99 29.34 18.09 14.51* 8.00 8.00 0.07
23 15.16* 17.31 19.58 12.75 25.96 9.04 0.20
24 11.45* 16.27 27.78 20.04 13.92 10.47 0.07
25 14.38 21.34* 20.49 15.48 17.11 11.00 0.20
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem