2010 AMC8 Report for all schools in Utah
Number of schools returning results 20
Average of school highest score 16.85
Average school team score 42.50
# of State Student Participants 923
Overall State Average Score 8.09
Average Score by Grade level
Grade # of Students Average
5th 39 7.49
6th 182 8.00
7th 332 7.95
8th 358 8.33
Number of Female Students 406
Average Score of Female Students 7.41
Average Female Scores by Grade
Grade # of Students Average
5th 17 6.29
6th 78 7.49
7th 153 7.32
8th 154 7.57
Number of Male Participants 503
Average Score of Male Participants 8.64
Average score for Males by Grade
Grade # of Students Average
5th 22 8.41
6th 103 8.41
7th 174 8.45
8th 198 8.94
2010 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 2 1 3
24 3 3
23 3 3
22 1 1
21
20 2 2
19 6 3 9
18 4 4
17 3 2 5
16 7 2 9
15 9 9
14 17 6 24
13 11 5 16
12 25 13 39
11 28 17 45
10 49 34 84
9 40 47 92
8 61 41 104
7 71 70 141
6 62 55 119
5 50 50 101
4 27 33 61
3 16 21 37
2 3 5 8
1 1 1 2
0 (@) 1 1
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
2010 American Mathematics Contest 8
Number of Students by Grade
Achieving indicated Score
SCORE 5th Grade 6th Grade 7th Grade 8th Grade
25 1 2
24 1 2
23 3
22 1
21
20 1 1
19 2 3 4
18 2 1 1
17 1 3 1
16 1 1 5 1
15 2 2 5
14 2 5 7 10
13 2 10 4
12 3 10 12 14
11 2 11 16 15
10 18 28 38
9 7 12 32 39
8 3 16 39 43
7 6 28 51 55
6 3 22 42 48
5 4 21 42 34
4 3 12 22 24
3 3 12 12 10
2 1 2 4 1
1 1 1
0(@) 1 1
0($)
(@) These students attempted some of the problems
($) These students attempted none of the problems
Note: Some students failed to indicate a grade
2010 American Mathematics Contest 8
Number of Schools with 3+ students
Achieving team Scores
SCORE school count
74 1
67 1
63 1
58 1
51 1
50 1
46 1
43 1
41 2
40 1
39 1
36 1
35 1
33 1
31 1
30 1
29 1
21 1
Table of Item Difficulty for the 2010
American Mathematics Contest 8
Tabulation of responses by 923 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.30 4.01 92.63* 1.30 0.65 0.11 0.00
2 6.93 2.71 4.23 50.49* 34.02 1.52 0.11
3 10.29 26.87 54.39* 4.66 1.73 1.95 0.11
4 8.02 13.65 51.90* 17.12 8.67 0.65 0.00
5 12.03 50.92* 11.38 12.03 12.03 1.63 0.00
6 7.58 7.37 4.12 11.59 68.69* 0.33 0.33
7 32.18 30.44* 11.16 9.86 14.95 1.30 0.11
8 27.74 24.49 22.10 17.01* 4.88 3.79 0.00
9 13.11 14.52 34.78 27.84* 6.93 2.71 0.11
10 17.88 19.18* 21.24 18.96 18.85 3.68 0.22
11 19.07 51.68* 9.86 12.13 4.66 2.60 0.00
12 42.25 14.73 14.08 16.47* 9.10* 3.36 0.00
13 10.40 13.43 28.82 21.13 18.31* 7.69 0.22
14 10.29 13.65 32.72* 20.26 14.63 8.34 0.11
15 31.42 16.58 26.44* 11.27 5.85 8.45 0.00
16 30.44 15.93* 10.83 20.04 12.13 10.51 0.11
17 13.43 27.41 23.73 15.60* 7.91 11.81 0.11
18 10.29 19.39 27.52* 15.38 14.41 12.89 0.11
19 22.54 20.69 23.62* 12.35 5.63 14.95 0.22
20 25.03* 16.47 23.73 13.33 8.45 12.89 0.11
21 8.56 15.82 30.77* 17.77 11.05 15.93 0.11
22 9.97 19.18 17.23 21.34 14.19* 17.88 0.22
23 14.84 17.88* 20.04 18.96 10.18 18.09 0.00
24 13.00* 23.62 16.90 17.98 10.40 17.88 0.22
25 16.03 24.59 10.94 10.73 16.79* 20.80 0.11
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem