2006 AMC8 Report for all schools in South Dakota
Number of schools returning results 5
Average of school highest score 15.20
Average school team score 41.40
# of State Student Participants 154
Overall State Average Score 9.11
Average Score by Grade level
Grade # of Students Average
6th 2 9.50
7th 74 8.23
8th 77 9.95
Number of Female Students 70
Average Score of Female Students 9.29
Average Female Scores by Grade
Grade # of Students Average
7th 35 8.49
8th 35 10.09
Number of Male Participants 81
Average Score of Male Participants 8.96
Average score for Males by Grade
Grade # of Students Average
6th 2 9.50
7th 39 8.00
8th 40 9.88
2006 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 0 0 0
17 0 1 1
16 2 1 3
15 2 0 2
14 3 3 6
13 5 2 7
12 8 2 10
11 8 6 14
10 9 16 26
9 7 11 19
8 4 11 16
7 11 10 21
6 12 7 19
5 4 0 4
4 4 0 4
3 1 0 1
2 0 0 0
1 0 0 0
0 (@) 0 0 0
0 ($) 1 0 1
(@) These students attempted some of the problems
($) 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 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 0
17 0 0 0 1
16 0 0 0 3
15 0 0 1 1
14 0 0 0 6
13 0 0 3 4
12 0 0 5 5
11 0 1 7 6
10 0 0 12 14
9 0 0 6 12
8 0 1 6 9
7 0 0 11 10
6 0 0 14 5
5 0 0 4 0
4 0 0 3 1
3 0 0 1 0
2 0 0 0 0
1 0 0 0 0
0(@) 0 0 1 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 154 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.00 0.65 1.95 96.75* 0.00 0.65 0.00
2 5.19 2.60 87.66* 0.65 2.60 1.30 0.00
3 46.75* 6.49 25.97 12.99 6.49 1.30 0.00
4 3.90 61.69* 16.23 12.34 5.19 0.65 0.00
5 11.69 1.95 1.30 61.04* 23.38 0.65 0.00
6 6.49 20.78 50.00* 6.49 15.58 0.65 0.00
7 54.55 11.04* 10.39 11.69 11.04 1.30 0.00
8 8.44 4.55 9.09 10.39 66.23* 0.65 0.65
9 42.86 12.34 25.97* 5.84 12.34 0.65 0.00
10 9.09* 43.51 22.73 13.64 10.39 0.65 0.00
11 20.13 31.82 14.29* 21.43 9.74 2.60 0.00
12 3.90 4.55 46.75 35.71* 8.44 0.65 0.00
13 5.84 13.64 29.87 29.22* 20.13 0.65 0.65
14 5.19 81.17* 5.19 6.49 0.65 1.30 0.00
15 21.43 13.64 37.66* 14.94 11.04 1.30 0.00
16 18.18 19.48 22.08 12.99 22.73* 4.55 0.00
17 6.49 18.83* 10.39 49.35 11.69 3.25 0.00
18 9.09 13.64 24.03 22.73* 26.62 3.25 0.65
19 9.09 16.88 16.88 47.40* 5.84 3.90 0.00
20 9.74 26.62 22.73* 20.13 15.58 5.19 0.00
21 12.99* 14.29 20.78 23.38 21.43 7.14 0.00
22 25.32 29.87 16.88 10.39* 9.74 7.79 0.00
23 10.39* 15.58 19.48 17.53 25.32 11.69 0.00
24 10.39* 18.83 27.27 16.23 13.64 13.64 0.00
25 14.29 18.18* 23.38 16.88 13.64 12.99 0.65
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem