2005 Report for Singapore
Number of schools returning results
Average of school highest score
Average school team score
# of State Student Participants 871
Overall State Average Score 9.84
Average Score by Grade level
Grade # of Students Average
5th 608 9.56
6th 87 11.34
7th 65 10.85
8th 50 13.04
Number of Female Students 390
Average Score of Female Students 9.16
Average Female Scores by Grade
Grade # of Students Average
5th 261 8.83
6th 45 10.20
7th 38 9.89
8th 19 12.74
Number of Male Participants 481
Average Score of Male Participants 10.40
Average score for Males by Grade
Grade # of Students Average
5th 347 10.10
6th 42 12.57
7th 27 12.19
8th 31 13.23
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 0 0 0
24 0 0 0
23 2 0 2
22 3 0 3
21 3 3 6
20 5 0 5
19 5 4 9
18 6 1 7
17 12 4 16
16 21 16 37
15 18 15 33
14 33 19 52
13 47 20 67
12 48 35 83
11 43 29 72
10 39 32 71
9 40 46 86
8 42 31 73
7 31 31 62
6 27 32 59
5 17 22 39
4 9 17 26
3 2 7 9
2 0 5 5
1 1 0 1
0 (@) 0 0 0
0 ($) 27 21 48
(@) These students attempted some of the problems
($) 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 1 1 0
22 0 1 0 2
21 3 1 0 2
20 3 0 1 1
19 4 1 2 2
18 3 2 1 1
17 7 4 2 3
16 20 9 4 4
15 22 4 4 2
14 35 6 4 6
13 44 12 6 4
12 67 4 3 5
11 51 10 5 4
10 51 6 6 4
9 66 6 4 5
8 56 3 5 1
7 46 2 6 0
6 46 2 3 2
5 24 4 3 0
4 15 3 3 0
3 7 0 0 0
2 5 0 0 0
1 0 0 0 0
0(@) 33 6 2 2
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 871 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.34 73.25* 14.70 5.97 0.11 5.17 0.46
2 6.89 11.02 66.13* 4.25 5.63 5.63 0.46
3 2.64 5.97 19.52 59.36* 6.77 5.28 0.46
4 7.00 2.30 77.96* 3.90 3.10 5.28 0.46
5 5.28 57.41* 12.74 6.31 12.06 5.74 0.46
6 17.22 11.60 28.01* 18.94 17.57 6.20 0.46
7 21.58 17.57* 7.92 42.82 3.56 6.08 0.46
8 12.06 11.83 20.55 15.38 32.84* 6.89 0.46
9 13.09 13.78 10.79 49.14* 5.17 7.58 0.46
10 2.30 2.18 3.10 82.78* 3.67 5.40 0.57
11 9.76 10.68 44.43* 11.25 16.19 7.69 0.00
12 4.02 3.67 14.58 56.49* 14.93 6.31 0.00
13 5.74 41.79 40.87* 3.10 2.53 5.86 0.11
14 17.68 36.28* 8.38 18.60 11.37 7.46 0.23
15 12.28 20.90 26.29* 13.20 18.60 8.38 0.34
16 4.94 11.71 10.91 17.68* 47.53 7.00 0.23
17 9.87 2.99 25.95 9.30 45.12* 6.54 0.23
18 20.78 16.42 29.16* 16.65 9.18 7.58 0.23
19 31.69* 26.52 16.42 7.46 9.18 8.50 0.23
20 25.83* 19.98 19.63 16.99 8.50 8.96 0.11
21 27.67 35.48 19.06* 5.28 4.59 7.69 0.23
22 12.97 15.84 16.65 27.21 18.14* 9.18 0.00
23 7.81 16.99* 32.38 12.74 17.91 11.71 0.46
24 9.18 14.35* 21.13 18.71 24.57 12.06 0.00
25 17.57* 32.15 15.04 12.51 9.99 12.74 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem