2005 State Report for Manitoba
Number of schools returning results 2
Average of school highest score 19.50
Average school team score 56.50
# of State Student Participants 67
Overall State Average Score 12.22
Average Score by Grade level
Grade # of Students Average
7th 11 10.09
8th 56 12.64
Number of Female Students 24
Average Score of Female Students 11.33
Average Female Scores by Grade
Grade # of Students Average
7th 1 3.00
8th 23 11.70
Number of Male Participants 42
Average Score of Male Participants 12.86
Average score for Males by Grade
Grade # of Students Average
7th 10 10.80
8th 32 13.50
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 0 0 0
24 0 0 0
23 1 0 1
22 1 0 1
21 1 0 1
20 2 0 2
19 0 0 0
18 2 1 3
17 0 0 0
16 3 1 4
15 4 1 5
14 3 3 6
13 5 6 11
12 1 1 2
11 3 3 6
10 8 1 9
9 3 3 6
8 1 1 2
7 2 0 3
6 0 1 1
5 1 0 1
4 1 1 2
3 0 1 1
2 0 0 0
1 0 0 0
0 (@) 0 0 0
0 ($) 0 0 0
(@) These students attempted some of the problems
($) 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 0
23 0 0 0 1
22 0 0 0 1
21 0 0 0 1
20 0 0 0 2
19 0 0 0 0
18 0 0 0 3
17 0 0 0 0
16 0 0 1 3
15 0 0 0 5
14 0 0 0 6
13 0 0 3 8
12 0 0 0 2
11 0 0 1 5
10 0 0 2 7
9 0 0 1 5
8 0 0 1 1
7 0 0 0 3
6 0 0 0 1
5 0 0 1 0
4 0 0 0 2
3 0 0 1 0
2 0 0 0 0
1 0 0 0 0
0(@) 0 0 0 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 2005
American Mathematics Contest 8
Tabulation of responses by 67 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.00 76.12* 17.91 5.97 0.00 0.00 0.00
2 5.97 7.46 85.07* 0.00 1.49 0.00 0.00
3 8.96 4.48 32.84 40.30* 11.94 1.49 0.00
4 17.91 2.99 73.13* 4.48 1.49 0.00 0.00
5 2.99 85.07* 7.46 0.00 4.48 0.00 0.00
6 17.91 16.42 38.81* 13.43 13.43 0.00 0.00
7 20.90 28.36* 2.99 38.81 7.46 1.49 0.00
8 17.91 8.96 5.97 11.94 52.24* 1.49 1.49
9 14.93 17.91 13.43 49.25* 4.48 0.00 0.00
10 1.49 0.00 1.49 97.01* 0.00 0.00 0.00
11 13.43 5.97 68.66* 5.97 4.48 1.49 0.00
12 4.48 1.49 10.45 67.16* 14.93 1.49 0.00
13 8.96 37.31 44.78* 8.96 0.00 0.00 0.00
14 7.46 52.24* 2.99 20.90 16.42 0.00 0.00
15 14.93 22.39 34.33* 11.94 13.43 2.99 0.00
16 5.97 2.99 7.46 37.31* 41.79 4.48 0.00
17 10.45 5.97 20.90 8.96 53.73* 0.00 0.00
18 11.94 13.43 53.73* 16.42 4.48 0.00 0.00
19 35.82* 34.33 13.43 8.96 5.97 1.49 0.00
20 38.81* 13.43 23.88 14.93 5.97 2.99 0.00
21 17.91 34.33 34.33* 4.48 5.97 2.99 0.00
22 16.42 22.39 16.42 14.93 22.39* 7.46 0.00
23 8.96 28.36* 16.42 19.40 16.42 8.96 1.49
24 16.42 10.45* 23.88 19.40 20.90 8.96 0.00
25 14.93* 23.88 14.93 28.36 8.96 8.96 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem