2005 State Report for Montana
Number of schools returning results 13
Average of school highest score 15.00
Average school team score 42.23
# of State Student Participants 797
Overall State Average Score 8.49
Average Score by Grade level
Grade # of Students Average
6th 27 7.33
7th 403 7.63
8th 363 9.56
Number of Female Students 389
Average Score of Female Students 8.30
Average Female Scores by Grade
Grade # of Students Average
6th 16 6.69
7th 190 7.36
8th 181 9.44
Number of Male Participants 399
Average Score of Male Participants 8.74
Average score for Males by Grade
Grade # of Students Average
6th 10 8.40
7th 208 7.93
8th 181 9.68
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 0 0 0
24 0 0 0
23 0 0 0
22 0 0 0
21 0 0 0
20 0 0 0
19 0 0 0
18 1 1 2
17 4 2 6
16 8 1 9
15 14 7 21
14 14 14 28
13 20 11 31
12 22 22 44
11 26 38 64
10 41 39 80
9 51 38 89
8 39 54 94
7 49 52 104
6 43 42 86
5 33 22 58
4 15 22 38
3 12 15 27
2 6 4 10
1 1 2 3
0 (@) 0 2 2
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
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 0 0 0
22 0 0 0 0
21 0 0 0 0
20 0 0 0 0
19 0 0 0 0
18 0 0 0 2
17 0 0 2 4
16 0 0 2 7
15 0 0 2 19
14 0 0 4 24
13 0 2 9 20
12 0 1 17 26
11 0 4 22 38
10 0 2 38 40
9 0 0 51 38
8 0 1 49 44
7 0 4 62 36
6 0 6 56 23
5 0 1 41 15
4 0 3 23 12
3 0 1 17 9
2 0 2 4 4
1 0 0 3 0
0(@) 0 0 1 2
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 797 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.00 60.60* 28.86 9.03 0.25 0.25 0.00
2 19.95 18.57 49.81* 5.52 5.40 0.75 0.00
3 7.40 7.78 39.52 36.51* 8.28 0.50 0.00
4 38.14 4.89 39.65* 12.05 4.39 0.88 0.00
5 6.52 60.73* 9.03 3.51 19.70 0.50 0.00
6 19.07 19.32 25.60* 18.82 15.68 1.51 0.00
7 25.60 18.07* 7.28 43.66 4.77 0.50 0.13
8 19.07 15.18 13.17 10.66 41.41* 0.50 0.00
9 13.17 22.08 19.20 36.01* 7.65 1.88 0.00
10 6.15 2.51 3.39 82.43* 4.64 0.75 0.13
11 8.28 8.66 58.09* 9.28 14.43 1.25 0.00
12 4.77 6.65 27.60 44.29* 15.56 1.00 0.13
13 24.34 40.90 14.43* 11.79 7.28 1.25 0.00
14 15.18 34.38* 4.64 23.21 20.45 1.88 0.25
15 20.70 24.84 23.21* 12.92 13.93 4.14 0.25
16 6.78 6.27 10.16 13.93* 59.97 2.76 0.13
17 15.43 2.51 37.89 8.91 33.25* 2.01 0.00
18 26.60 22.33 25.35* 15.81 6.40 3.39 0.13
19 37.26* 22.46 16.19 10.66 9.28 3.64 0.50
20 24.34* 22.71 21.96 17.31 7.90 5.52 0.25
21 30.24 36.89 19.07* 4.39 4.14 5.27 0.00
22 10.41 16.81 21.71 25.60 16.69* 8.41 0.38
23 11.54 18.95* 28.23 14.43 15.43 11.04 0.38
24 13.68 14.93* 23.09 16.81 20.20 11.29 0.00
25 20.08* 21.71 17.82 13.43 14.30 12.67 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem