2009 AMC8 Report for all schools in Washington
Number of schools returning results 56
Average of school highest score 18.80
Average school team score 49.73
# of State Student Participants 2498
Overall State Average Score 10.61
Average Score by Grade level
Grade # of Students Average
5th 110 11.57
6th 428 10.90
7th 757 10.54
8th 1134 10.58
Number of Female Students 1103
Average Score of Female Students 9.91
Average Female Scores by Grade
Grade # of Students Average
5th 33 9.12
6th 193 9.92
7th 329 9.74
8th 537 10.10
Number of Male Participants 1320
Average Score of Male Participants 11.25
Average score for Males by Grade
Grade # of Students Average
5th 75 12.67
6th 230 11.70
7th 414 11.17
8th 581 11.03
2009 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 7 2 9
24 12 1 13
23 11 2 13
22 7 8
21 7 5 12
20 10 6 18
19 27 2 29
18 32 9 42
17 47 21 68
16 48 26 77
15 61 27 90
14 75 62 139
13 101 80 188
12 117 93 212
11 132 104 242
10 118 138 262
9 135 122 271
8 125 116 248
7 95 100 201
6 73 81 160
5 44 50 96
4 25 39 71
3 5 13 18
2 2 3 6
1 1 1 2
0 (@)
0 ($) 3 3
(@) These students attempted some of the problems
($) 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 4 4
24 9 4
23 1 4 8
22 2 2 3
21 1 4 7
20 1 3 7 7
19 2 5 8 14
18 5 15 10 11
17 3 15 21 29
16 4 18 17 37
15 6 14 27 42
14 14 26 36 62
13 8 25 61 91
12 14 42 64 89
11 12 38 77 111
10 12 48 75 121
9 3 39 82 135
8 9 44 75 111
7 5 33 61 93
6 4 24 57 67
5 2 15 31 45
4 2 13 21 29
3 3 6 9
2 1 4
1 1 1
0(@) 2 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
74 2
72 1
69 2
66 1
65 1
63 2
62 3
58 3
57 1
56 2
55 1
54 1
53 1
52 3
51 2
50 3
49 2
48 5
47 1
46 2
44 1
43 1
42 2
41 2
38 1
37 2
34 4
31 1
Table of Item Difficulty for the 2009
American Mathematics Contest 8
Tabulation of responses by 2498 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.16 0.12 2.88 1.16 95.56* 0.12 0.00
2 1.96 2.72 2.24 90.15* 2.48 0.44 0.00
3 10.81 1.48 85.27* 1.04 1.16 0.24 0.00
4 7.45 74.34* 1.56 7.21 8.61 0.84 0.00
5 5.32 13.37 16.05 58.77* 3.64 2.72 0.12
6 69.50* 7.69 7.69 4.48 8.81 1.68 0.16
7 2.72 9.69 41.71* 18.25 24.70 2.84 0.08
8 27.46 28.42* 33.51 3.60 5.48 1.44 0.08
9 12.97 41.79* 15.97 18.61 7.01 3.52 0.12
10 2.84 26.86 11.37 50.72* 7.17 1.04 0.00
11 5.88 15.49 23.50 32.59* 15.65 6.85 0.04
12 15.41 23.70 3.68 48.52* 6.61* 2.04 0.04
13 6.93 74.86* 4.92 8.41 2.28 2.60 0.00
14 5.80 11.49* 72.38 4.20 2.56 3.44 0.12
15 14.89 12.85 16.97 34.19* 15.77 5.28 0.04
16 32.31 15.73 15.65 15.73* 14.13 6.37 0.08
17 15.41 23.86* 21.90 16.89 11.41 10.45 0.08
18 20.02 10.49 41.79* 11.61 9.45 6.53 0.12
19 9.29 13.93 17.65 25.14* 25.18 8.53 0.28
20 21.18 27.58 12.65 17.29* 11.33 9.85 0.12
21 14.61 32.35 17.17 15.77* 6.93 13.05 0.12
22 10.97 13.37 17.49 22.94* 23.18 11.93 0.12
23 9.97 27.86* 15.85 21.06 10.37 14.69 0.20
24 16.21 19.10 21.42 13.73 13.49* 15.93 0.12
25 12.77 15.21 18.82 15.93 19.38* 17.81 0.08
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem