2005 State Report for Arizona
Number of schools returning results 23
Average of school highest score 16.57
Average school team score 45.30
# of State Student Participants 1482
Overall State Average Score 8.27
Average Score by Grade level
Grade # of Students Average
5th 41 6.41
6th 192 7.36
7th 548 7.67
8th 688 9.12
Number of Female Students 750
Average Score of Female Students 7.78
Average Female Scores by Grade
Grade # of Students Average
5th 16 5.88
6th 95 6.43
7th 277 7.31
8th 357 8.58
Number of Male Participants 716
Average Score of Male Participants 8.78
Average score for Males by Grade
Grade # of Students Average
5th 25 6.76
6th 97 8.28
7th 265 8.05
8th 324 9.73
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 0 0 0
24 0 0 0
23 1 1 2
22 1 0 1
21 2 1 3
20 3 0 3
19 6 2 8
18 8 3 11
17 12 3 15
16 15 8 23
15 26 11 37
14 25 21 48
13 28 27 56
12 42 36 79
11 62 37 101
10 59 52 111
9 60 66 131
8 62 95 157
7 63 92 155
6 78 102 180
5 56 78 137
4 51 47 99
3 32 44 76
2 14 12 26
1 7 7 14
0 (@) 0 4 4
0 ($) 3 1 5
(@) These students attempted some of the problems
($) 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 0 0
24 0 0 0 0
23 0 1 0 1
22 0 0 0 1
21 0 0 0 3
20 0 0 2 1
19 0 0 1 7
18 0 0 1 9
17 1 0 4 10
16 0 2 5 16
15 0 1 5 31
14 0 2 14 32
13 0 5 17 33
12 1 7 20 51
11 1 14 35 50
10 2 13 38 56
9 2 17 55 57
8 5 18 67 66
7 1 27 63 63
6 10 32 67 70
5 10 18 65 42
4 4 16 38 39
3 4 16 34 21
2 0 1 13 12
1 0 1 4 9
0(@) 0 1 0 8
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 1482 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.54 53.64* 36.50 8.43 0.34 0.54 0.00
2 16.87 20.11 49.87* 6.14 5.80 1.15 0.07
3 5.26 6.61 37.45 39.95* 9.92 0.67 0.13
4 29.22 5.87 45.95* 12.96 4.86 1.08 0.07
5 6.48 51.28* 10.80 4.32 26.45 0.54 0.13
6 23.35 19.84 24.36* 16.40 14.57 1.42 0.07
7 22.40 17.27* 7.15 48.45 3.64 0.94 0.13
8 17.48 14.30 13.56 9.31 44.40* 0.94 0.00
9 14.98 22.87 18.76 33.33* 7.35 2.63 0.07
10 5.87 5.13 6.01 75.51* 6.34 1.08 0.07
11 11.07 9.45 50.40* 9.04 17.48 2.50 0.07
12 8.43 6.75 29.89 39.27* 13.70 1.82 0.13
13 17.61 44.60 21.39* 8.50 6.07 1.82 0.00
14 18.15 33.33* 7.62 19.30 18.69 2.83 0.07
15 20.31 24.49 25.71* 13.36 11.67 4.32 0.13
16 4.59 11.34 10.93 15.32* 54.86 2.83 0.13
17 15.05 4.18 38.93 8.03 31.24* 2.50 0.07
18 32.66 19.50 24.43* 13.63 5.53 4.18 0.07
19 33.33* 24.83 18.08 8.97 9.45 5.26 0.07
20 22.00* 22.74 21.32 17.27 8.91 7.62 0.13
21 27.67 34.41 20.51* 6.21 5.20 5.87 0.13
22 12.28 15.72 22.40 24.29 17.41* 7.62 0.27
23 10.05 21.12* 24.29 15.59 18.62 9.92 0.40
24 12.08 13.83* 25.17 18.29 20.51 9.99 0.13
25 22.60* 23.28 18.35 13.36 11.13 11.20 0.07
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem