2009 AMC8 Report for all schools in Arizona
Number of schools returning results 30
Average of school highest score 17.73
Average school team score 47.23
# of State Student Participants 1633
Overall State Average Score 9.51
Average Score by Grade level
Grade # of Students Average
5th 49 8.02
6th 302 8.60
7th 626 9.14
8th 643 10.36
Number of Female Students 810
Average Score of Female Students 8.92
Average Female Scores by Grade
Grade # of Students Average
5th 16 6.38
6th 152 8.06
7th 326 8.79
8th 314 9.61
Number of Male Participants 793
Average Score of Male Participants 10.13
Average score for Males by Grade
Grade # of Students Average
5th 33 8.82
6th 147 9.17
7th 290 9.55
8th 315 11.19
2009 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 1 1
24 1 1 2
23 3 3
22 1 1
21 2 1 3
20 5 1 6
19 5 1 6
18 9 2 11
17 5 8 14
16 16 13 29
15 28 13 41
14 50 20 71
13 44 32 76
12 79 61 141
11 73 80 159
10 105 93 202
9 99 102 204
8 81 113 198
7 79 87 170
6 56 77 136
5 33 51 87
4 15 35 50
3 2 10 12
2 5 5
1 1 3 4
0 (@)
0 ($) 1 1
(@) These students attempted some of the problems
($) These students attempted none of the problems
(*) Total includes students who failed to mark their gender
2009 American Mathematics Contest 8
Number of Students by Grade
Achieving indicated Score
SCORE 5th Grade 6th Grade 7th Grade 8th Grade
25 1
24 2
23 3
22 1
21 1 1 1
20 6
19 2 4
18 1 3 7
17 1 1 5 6
16 1 8 18
15 5 11 25
14 1 7 25 37
13 4 11 25 36
12 2 20 49 68
11 3 23 55 77
10 8 35 79 77
9 6 31 99 66
8 1 43 73 81
7 3 46 71 50
6 5 38 50 42
5 7 25 36 19
4 4 10 25 11
3 2 1 7 2
2 1 1 3
1 1 1 2
0(@) 1
0($)
(@) These students attempted some of the problems
($) These students attempted none of the problems
Note: Some students failed to indicate a grade
2009 American Mathematics Contest 8
Number of Schools with 3+ students
Achieving team Scores
SCORE school count
68 1
66 1
59 1
57 2
54 3
53 2
52 2
51 2
50 1
49 1
47 1
45 1
44 1
43 2
40 1
39 2
38 1
37 2
31 1
26 1
Table of Item Difficulty for the 2009
American Mathematics Contest 8
Tabulation of responses by 1633 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.06 0.24 1.90 3.00 94.67* 0.12 0.00
2 3.06 4.29 3.06 87.20* 2.02 0.37 0.00
3 14.21 2.94 79.36* 1.71 1.71 0.06 0.00
4 11.45 65.83* 2.51 9.86 10.17 0.18 0.00
5 6.49 16.17 17.70 53.70* 4.59 1.35 0.00
6 64.36* 11.15 7.53 5.76 9.68 1.53 0.00
7 2.51 9.12 32.95* 21.74 31.72 1.96 0.00
8 33.07 18.68* 40.23 2.57 4.29 1.16 0.00
9 17.33 35.27* 17.94 17.82 9.06 2.51 0.06
10 3.55 27.99 14.57 45.93* 6.80 1.10 0.06
11 5.08 19.60 24.68 31.72* 15.43 3.43 0.06
12 22.35 26.21 3.98 39.13* 6.98* 1.16 0.18
13 6.67 75.44* 5.82 8.39 2.20 1.35 0.12
14 5.08 6.12* 78.87 4.35 3.43 2.02 0.12
15 17.82 13.96 15.25 28.90* 20.58 3.43 0.06
16 34.05 17.39 17.21 12.98* 13.41 4.96 0.00
17 15.92 20.21* 24.80 18.86 12.80 7.35 0.06
18 24.74 12.37 33.74* 13.47 10.04 5.63 0.00
19 10.17 17.27 20.33 19.23* 24.25 8.51 0.24
20 18.55 29.76 12.43 18.37* 11.70 9.19 0.00
21 14.57 39.80 15.19 12.12* 7.16 10.96 0.18
22 12.68 12.74 16.66 21.13* 26.27 10.41 0.12
23 11.45 22.78* 17.76 23.39 11.15 13.29 0.18
24 18.74 19.96 19.90 14.88 12.00* 14.27 0.24
25 13.47 17.15 17.45 16.47 19.17* 16.29 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem