2009 AMC8 Report for all schools in Canada
Number of schools returning results 47
Average of school highest score 18.26
Average school team score 47.34
# of State Student Participants 1628
Overall State Average Score 10.83
Average Score by Grade level
Grade # of Students Average
5th 10 14.10
6th 115 8.45
7th 434 10.58
8th 1043 11.15
Number of Female Students 700
Average Score of Female Students 10.26
Average Female Scores by Grade
Grade # of Students Average
5th 1 5.00
6th 53 8.68
7th 205 9.96
8th 433 10.58
Number of Male Participants 896
Average Score of Male Participants 11.30
Average score for Males by Grade
Grade # of Students Average
5th 9 15.11
6th 61 8.33
7th 224 11.18
8th 590 11.58
2009 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 1 1
24 2 2
23 2 2 4
22 4 2 6
21 6 2 8
20 11 4 15
19 16 4 21
18 17 6 23
17 22 7 30
16 47 21 68
15 45 29 76
14 83 45 130
13 70 50 121
12 78 62 145
11 91 92 186
10 87 75 163
9 99 67 170
8 58 81 144
7 73 55 131
6 32 44 76
5 27 28 56
4 14 12 28
3 9 7 16
2 2 2
1 2 2
0 (@)
0 ($) 3 4
(@) These students attempted some of the problems
($) 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
24 2
23 1 3
22 2 1 3
21 1 3 4
20 1 4 9
19 1 3 16
18 1 7 15
17 1 8 21
16 1 1 20 44
15 1 4 18 51
14 1 1 32 95
13 1 6 18 95
12 7 38 97
11 6 55 122
10 1 11 40 108
9 11 45 112
8 10 49 84
7 15 41 71
6 13 21 41
5 2 11 14 29
4 8 8 12
3 6 5 5
2 2
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
69 1
65 1
63 2
62 2
60 1
59 1
58 3
57 2
55 3
54 3
52 2
51 3
50 1
49 2
48 2
47 1
46 4
44 1
41 1
40 1
38 1
36 1
35 1
29 1
Table of Item Difficulty for the 2009
American Mathematics Contest 8
Tabulation of responses by 1628 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.12 0.37 2.21 1.90 95.09* 0.31 0.00
2 1.78 2.76 2.76 88.76* 3.01 0.92 0.00
3 9.28 2.09 86.24* 0.86 1.17 0.31 0.06
4 6.70 73.96* 1.84 9.15 7.43 0.92 0.00
5 4.48 10.14 14.25 64.13* 4.42 2.52 0.06
6 72.91* 6.88 6.33 5.53 6.45 1.78 0.12
7 2.70 8.60 45.33* 16.34 23.40 3.44 0.18
8 27.03 30.96* 29.67 5.10 5.65 1.60 0.00
9 13.88 39.07* 17.38 16.77 8.97 3.93 0.00
10 3.07 29.91 11.00 47.73* 7.06 1.23 0.00
11 7.19 16.40 22.60 31.33* 16.15 6.27 0.06
12 13.88 20.70 4.98 52.33* 6.88* 1.17 0.06
13 6.82 74.63* 6.70 7.49 2.52 1.78 0.06
14 6.02 10.81* 69.29 7.00 4.18 2.70 0.00
15 14.93 13.57 14.62 35.38* 16.22 5.04 0.25
16 31.20 15.66 17.08 15.72* 15.66 4.55 0.12
17 15.05 23.34* 24.51 19.16 11.36 6.51 0.06
18 22.73 11.98 40.60* 12.41 8.42 3.62 0.25
19 10.87 17.32 17.94 25.74* 21.87 5.96 0.31
20 18.37 26.78 14.62 21.50* 13.02 5.65 0.06
21 15.42 32.92 18.92 15.54* 8.60 8.29 0.31
22 11.79 14.86 19.41 23.83* 22.73 7.19 0.18
23 12.90 29.91* 17.63 21.68 9.64 8.05 0.18
24 16.09 18.12 21.99 18.00 16.52* 9.28 0.00
25 14.50 16.58 18.80 17.75 21.31* 10.93 0.12
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem