2005 State Report for Ontario
Number of schools returning results 12
Average of school highest score 19.33
Average school team score 53.67
# of State Student Participants 795
Overall State Average Score 11.71
Average Score by Grade level
Grade # of Students Average
6th 6 9.83
7th 310 11.69
8th 476 11.75
Number of Female Students 383
Average Score of Female Students 11.11
Average Female Scores by Grade
Grade # of Students Average
6th 3 10.00
7th 147 11.05
8th 232 11.15
Number of Male Participants 400
Average Score of Male Participants 12.35
Average score for Males by Grade
Grade # of Students Average
6th 3 9.67
7th 157 12.41
8th 239 12.36
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 0 0 0
24 2 1 3
23 2 0 2
22 2 1 3
21 11 0 11
20 7 5 12
19 7 8 15
18 9 8 17
17 24 10 34
16 23 25 48
15 25 23 48
14 39 27 66
13 32 27 59
12 36 32 72
11 37 38 76
10 44 33 79
9 32 43 75
8 28 27 56
7 16 34 51
6 11 15 27
5 9 13 24
4 2 8 10
3 1 2 3
2 0 2 2
1 0 0 0
0 (@) 0 0 0
0 ($) 1 1 2
(@) These students attempted some of the problems
($) 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 3
23 0 0 0 2
22 0 0 1 2
21 0 0 4 7
20 0 0 4 8
19 0 0 5 10
18 0 0 5 12
17 0 0 7 27
16 0 0 19 29
15 0 0 23 24
14 0 1 33 32
13 0 0 25 34
12 0 0 24 48
11 0 1 36 38
10 0 1 32 46
9 0 1 29 45
8 0 1 25 30
7 0 1 23 27
6 0 0 4 22
5 0 0 7 17
4 0 0 3 7
3 0 0 0 3
2 0 0 0 2
1 0 0 0 0
0(@) 0 0 1 1
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 795 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.88 80.63* 13.84 4.28 0.00 0.38 0.00
2 8.55 11.07 74.47* 2.39 2.52 1.01 0.00
3 3.77 4.91 27.30 55.47* 7.30 1.13 0.13
4 13.46 2.26 75.72* 5.28 2.52 0.75 0.00
5 5.28 72.58* 7.17 2.64 11.70 0.63 0.00
6 16.23 13.96 40.13* 15.47 12.45 1.76 0.00
7 21.51 34.09* 8.43 31.57 3.02 1.26 0.13
8 11.45 8.18 10.06 11.45 57.48* 1.26 0.13
9 9.31 20.25 12.96 50.82* 4.03 2.64 0.00
10 1.51 2.01 2.26 91.19* 2.26 0.75 0.00
11 7.42 6.16 67.04* 5.28 11.07 3.02 0.00
12 2.26 3.77 17.48 66.16* 8.68 1.64 0.00
13 13.33 49.56 29.81* 3.14 2.14 2.01 0.00
14 11.70 41.26* 5.16 18.87 20.00 3.02 0.00
15 17.61 17.48 24.40* 11.07 23.27 6.04 0.13
16 4.28 6.79 10.82 28.43* 46.92 2.52 0.25
17 8.81 3.52 21.26 9.31 55.35* 1.38 0.38
18 18.99 19.62 39.87* 13.21 3.27 4.91 0.13
19 43.14* 24.28 14.84 6.54 5.91 5.03 0.25
20 26.16* 22.89 20.00 13.58 8.18 9.18 0.00
21 19.62 38.36 28.05* 5.41 3.77 4.65 0.13
22 11.32 11.82 20.38 28.55 21.01* 6.79 0.13
23 10.94 26.29* 27.04 12.08 13.08 10.57 0.00
24 12.70 18.62* 20.13 18.62 19.62 9.94 0.38
25 22.64* 21.89 16.98 15.35 11.45 11.57 0.13
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem