2009 AMC8 Report for all schools in China
Number of schools returning results 38
Average of school highest score 19.37
Average school team score 55.47
# of State Student Participants 6499
Overall State Average Score 11.16
Average Score by Grade level
Grade # of Students Average
5th 254 8.88
6th 1086 9.84
7th 2828 10.75
8th 2284 12.60
Number of Female Students 2848
Average Score of Female Students 10.61
Average Female Scores by Grade
Grade # of Students Average
5th 100 7.94
6th 475 9.32
7th 1258 10.36
8th 999 11.81
Number of Male Participants 3563
Average Score of Male Participants 11.63
Average score for Males by Grade
Grade # of Students Average
5th 153 9.53
6th 600 10.30
7th 1546 11.08
8th 1241 13.25
2009 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 6 6
24 18 3 21
23 18 4 22
22 23 9 32
21 27 9 38
20 54 18 73
19 53 29 82
18 119 45 164
17 142 72 217
16 161 103 270
15 238 130 371
14 257 194 458
13 307 220 533
12 318 242 565
11 314 310 629
10 347 307 663
9 320 308 634
8 263 260 531
7 198 201 408
6 158 173 331
5 110 105 224
4 71 56 133
3 30 31 62
2 4 11 15
1 4 1 5
0 (@)
0 ($) 3 7 12
(@) These students attempted some of the problems
($) 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 2 4
24 3 3 15
23 5 17
22 4 6 22
21 5 8 25
20 1 7 21 44
19 5 23 54
18 1 16 62 85
17 8 19 68 122
16 3 23 103 138
15 6 45 148 172
14 9 47 171 228
13 17 62 246 205
12 8 84 259 210
11 22 95 300 207
10 19 118 314 206
9 31 125 305 169
8 29 120 247 133
7 27 94 193 86
6 34 88 135 71
5 21 61 108 33
4 9 37 65 21
3 8 18 25 9
2 5 7 3
1 2 3
0(@) 1 1 3 5
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
75 1
72 2
69 2
68 1
67 1
65 1
64 1
63 2
62 1
59 1
58 2
57 1
56 1
55 2
54 2
53 2
52 2
51 2
50 1
49 2
48 1
47 1
45 1
44 1
43 1
39 1
37 1
30 1
Table of Item Difficulty for the 2009
American Mathematics Contest 8
Tabulation of responses by 6499 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.09 0.35 4.45 1.18 93.71* 0.22 0.00
2 5.79 9.20 16.03 61.32* 4.20 3.46 0.00
3 12.54 4.37 76.15* 4.15 1.58 1.08 0.12
4 7.79 69.47* 6.34 9.71 5.08 1.52 0.09
5 3.45 4.91 12.46 72.03* 5.11 1.95 0.09
6 73.35* 6.54 5.19 5.14 7.35 2.37 0.06
7 1.94 5.14 70.96* 8.11 11.22 2.52 0.11
8 8.05 59.98* 11.36 10.20 7.60 2.72 0.09
9 13.23 25.08* 20.90 21.48 10.28 8.96 0.08
10 4.88 14.45 30.54 32.91* 12.74 4.40 0.08
11 7.99 15.54 16.16 36.14* 15.96 8.12 0.09
12 14.23 21.03 20.80 30.22* 8.03* 5.55 0.12
13 7.32 52.36* 10.11 12.34 12.49 5.20 0.17
14 8.22 39.48* 28.42 11.25 6.48 6.09 0.06
15 13.60 14.08 18.30 34.41* 10.28 9.28 0.06
16 21.25 13.73 20.62 22.79* 13.91 7.62 0.09
17 12.08 24.88* 22.40 19.88 10.16 10.48 0.12
18 13.11 9.68 51.25* 12.09 7.08 6.62 0.17
19 17.42 16.66 18.74 22.74* 15.57 8.60 0.26
20 9.97 23.96 12.14 29.25* 14.65 9.86 0.17
21 16.05 29.59 17.99 15.77* 8.00 12.49 0.11
22 11.71 16.53 18.51 33.87* 10.66 8.29 0.43
23 10.45 29.51* 18.94 20.10 9.77 11.03 0.20
24 10.02 11.99 14.85 12.09 41.34* 9.28 0.43
25 11.42 13.11 24.53 20.06 17.26* 13.43 0.18
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem