American Mathematics Competitions
2008 AMC 10 A Results for Missouri
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 662
Number of unofficial participants: 68
Average score of participants: 55.5
Average score for female students is: 50.7 ( 183 Students)
Average score for male students is: 56.8 ( 340 Students)
Average score for unspecified gender is 58.7 ( 139 Students)
Average score for grade 10 is: 57.2 ( 352 Students)
Average score for grade 9 is: 53.1 ( 246 Students)
Average score for grade 8 and below is: 67.5 ( 3 Students)
Average score with unknown grade: 54.5 ( 61 Students)
AIME qualifying score = 117.0 or better
Number of AIME qualifers 8
Number of schools returning results 27
Average school winning score 91.56
American Mathematics Competitions
2008 AMC 12 A Results for Missouri
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 759
Number of unofficial participants: 62
Average score of participants: 65.3
Average score for female students is: 58.3 ( 237 Students)
Average score for male students is: 69.6 ( 401 Students)
Average score for unspecified gender is 64.5 ( 121 Students)
Average score for grade 12 is: 66.9 ( 351 Students)
Average score for grade 11 is: 64.6 ( 362 Students)
Average score for grade 10 is: 56.8 ( 13 Students)
Average score for grade 9 is: 73.1 ( 4 Students)
Average score for grade 8 and below is: 93.0 ( 1 Student)
Average score with unknown grade: 55.7 ( 28 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 46
Number of schools returning results 28
Average school winning score 98.73
Average school team score 267.54
American Mathematics Competitions
2008 AMC 10 B Results for Missouri
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 897
Number of unofficial participants: 0
Average score of participants: 57.8
Average score for female students is: 55.1 ( 382 Students)
Average score for male students is: 59.8 ( 457 Students)
Average score for unspecified gender is 60.0 ( 58 Students)
Average score for grade 10 is: 60.1 ( 461 Students)
Average score for grade 9 is: 54.7 ( 393 Students)
Average score for grade 8 and below is: 71.4 ( 19 Students)
Average score with unknown grade: 54.0 ( 24 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 6
Number of schools returning results 32
Average school winning score 94.13
American Mathematics Competitions
2008 AMC 12 B Results for Missouri
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 906
Number of unofficial participants: 0
Average score of participants: 60.1
Average score for female students is: 57.4 ( 339 Students)
Average score for male students is: 62.6 ( 471 Students)
Average score for unspecified gender is 56.8 ( 96 Students)
Average score for grade 13 is: 58.5 ( 1 Student)
Average score for grade 12 is: 60.7 ( 389 Students)
Average score for grade 11 is: 59.5 ( 465 Students)
Average score for grade 10 is: 62.1 ( 24 Students)
Average score for grade 9 is: 70.5 ( 6 Students)
Average score with unknown grade: 54.9 ( 21 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 20
Number of schools returning results 38
Average school winning score 92.49
Average school team score 245.53
2008 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
360.0 1 1
342.0 1 2
334.5 1 3
331.5 1 4
330.0 1 5
328.5 1 6
327.0 1 7
322.5 1 8
321.0 1 9
306.0 1 10
303.0 2 11
301.5 1 13
300.0 1 14
294.0 1 15
291.0 1 16
288.0 1 17
286.5 1 18
285.0 1 19
280.5 1 20
277.5 1 21
276.0 1 22
271.5 1 1 23
270.0 1 25
268.5 1 26
267.0 2 27
264.0 1 29
261.0 1 30
253.5 1 31
252.0 1 32
250.5 1 33
246.0 2 1 34
244.5 1 1 37
243.0 2 2 39
238.5 2 1 43
237.0 1 46
234.0 1 47
232.5 1 48
231.0 1 49
226.5 2 50
225.0 1 52
223.5 1 53
222.0 1 1 54
220.5 1 56
214.5 1 57
211.5 1 58
208.5 1 59
207.0 1 60
189.0 1 61
184.5 1 62
168.0 1 63
139.5 1 64
132.0 1 65
66.0 1 66
2008 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
145.5 1
139.5 1
138.0 1
136.5 1
135.0 1
132.0 1
130.5 1
129.0 1
126.0 4
124.5 1
123.0 2
121.5 2 1
120.0 1
118.5 2
117.0 1 1 2
115.5 1 2
114.0 5 1 1
112.5 2 2 3 2
111.0 1 1
109.5 2 2 2
108.0 5 2 4
106.5 4 1
105.0 1 3
103.5 5 2 5 1
102.0 6 3 5
100.5 6 3 1 1
99.0 5 2 4 2
97.5 3 1 1 1
96.0 10 4 2 4
94.5 12 2 2 5
93.0 12 1 5 1
91.5 8 7 2 2
90.0 10 9 5 3
88.5 10 11 2 5
87.0 7 6 5 6
85.5 12 7 4 13
84.0 7 8 11 7
82.5 15 18 7 8
81.0 11 13 2 16
79.5 12 8 6 11
78.0 20 18 7 13
76.5 21 25 10 7
75.0 11 17 9 11
73.5 15 10 4 12
72.0 19 23 8 19
70.5 23 24 9 14
69.0 19 31 5 21
67.5 26 26 16 21
66.0 24 19 14 33
64.5 21 26 17 25
63.0 15 46 19 30
61.5 22 22 12 24
60.0 35 41 14 37
58.5 23 50 16 25
57.0 24 34 23 19
55.5 25 26 28 33
54.0 33 39 29 41
52.5 18 33 19 33
51.0 22 33 18 33
49.5 26 28 20 29
48.0 22 30 25 30
46.5 16 26 24 31
45.0 13 21 22 19
43.5 15 12 22 22
42.0 14 25 37 49
40.5 14 16 16 18
39.0 10 19 16 21
37.5 6 9 19 22
36.0 12 18 24 22
34.5 4 3 18 10
33.0 5 5 9 11
31.5 2 6 10 7
30.0 5 5 12 12
28.5 4 6 9
27.0 5 1 4
25.5 1 2 3 4
24.0 2 8 10 4
22.5 2 2
21.0 1 1
19.5 1 1
18.0 2 4 4
16.5 1 2
15.0 1
12.0 1 1
6.0 1 1
1
American Mathematics Competitions
2008 AMC 10 A Results for Missouri
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
145.5 1 1
139.5 1
138.0 1
135.0 1 1
130.5 1
123.0 2 2
117.0 1
114.0 1 1
112.5 1 1 2 1
111.0 1 1
109.5 2 1 1
103.5 2 1 1 3 1
102.0 3 1 2
100.5 1
99.0 2 1 2 2
97.5 1 1
96.0 2 1 1
94.5 1 1 1 1
93.0 1 2 4 1
91.5 2 2
90.0 4 2 3
88.5 2 1 1
87.0 2 2 1 4
85.5 4 2 2
84.0 6 4 5 2
82.5 2 1 3 4
81.0 1 2
79.5 4 2 2 4
78.0 4 1 1 5 1
76.5 4 3 5 4 1
75.0 7 6 2 1
73.5 3 1 1 3
72.0 7 2 6
70.5 3 3 2 5 2
69.0 3 2 1 2
67.5 7 2 4 9 3
66.0 9 1 4 8 2
64.5 9 4 5 12
63.0 12 5 3 15 1
61.5 4 7 5 6 1
60.0 6 2 5 7 2
58.5 9 4 4 10 2
57.0 13 4 7 13 3
55.5 21 4 1 13 12 2
54.0 18 5 9 17 3
52.5 12 6 3 15 1
51.0 9 3 9 9
49.5 10 7 1 7 11 1
48.0 13 8 6 15 4
46.5 14 7 10 13 1
45.0 8 10 6 12 4
43.5 10 9 10 11 1
42.0 15 17 19 14 4
40.5 8 7 4 12
39.0 5 8 8 6 2
37.5 10 7 11 6 2
36.0 11 8 6 17 1
34.5 6 5 5 10 3
33.0 3 4 5 3 1
31.5 2 5 6 3 1
30.0 7 2 7 4 1
28.5 1 3 4 2
27.0 1 1
25.5 1 2 1
24.0 6 3 6 3 1
22.5 1 1 1
19.5 1 1
18.0 3 1 3 1
15.0 1 1
6.0 1 1
American Mathematics Competitions
2008 AMC 10 A Results for Missouri
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.36 0.45 7.10 87.01* 3.78 0.30 0.00
2 44.71* 21.30 25.53 1.96 1.81 4.68 0.00
3 71.00* 4.98 4.23 1.96 1.36 16.47 0.00
4 4.53 6.95 52.87* 12.54 4.98 18.13 0.00
5 8.46 28.70* 5.14 5.44 4.23 48.04 0.00
6 3.47 2.42 3.63 21.00* 44.71 24.77 0.00
7 48.64 3.78 5.74 2.42 12.08* 27.34 0.00
8 41.09* 10.12 3.47 23.56 3.32 18.43 0.00
9 2.11 30.66* 13.75 29.15 8.31 15.86 0.15
10 1.51 44.26 7.85 0.91 39.27* 6.19 0.00
11 5.74 3.93 7.25 62.99* 10.27 9.82 0.00
12 13.75 2.57 30.21* 12.99 5.44 34.89 0.15
13 12.54 33.08 11.03 26.28* 2.72 14.35 0.00
14 4.08 8.91 8.31 17.52* 4.23 56.95 0.00
15 3.02 3.78 26.59 24.77* 6.19 35.65 0.00
16 4.68 13.14* 6.19 16.01 7.85 52.11 0.00
17 8.01 10.42* 6.65 6.19 4.23 64.50 0.00
18 3.93 4.98* 7.10 4.68 4.08 75.23 0.00
19 5.14 8.01 8.91* 4.38 6.19 67.37 0.00
20 1.96 5.29 16.62 7.85* 2.87 65.41 0.00
21 12.69* 20.85 4.98 5.44 3.17 52.87 0.00
22 8.91 6.65 21.75 22.21* 9.37 30.97 0.15
23 8.01 6.19* 7.70 7.70 3.78 66.62 0.00
24 7.10 11.03 6.95 6.19* 7.70 61.03 0.00
25 2.11 6.50 6.95* 4.68 6.95 72.81 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2008 AMC 12 A Results for Missouri
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
136.5 1 1
124.5 1
121.5 2 2
117.0 1
114.0 5 1 1 3
112.5 2 2
108.0 5 1 4
106.5 4 4
103.5 2 1 2 3
102.0 5 1 4 2
100.5 4 1 2 3
99.0 4 2 3
97.5 2 1 2
96.0 6 3 5 5
94.5 8 2 1 4 7
93.0 9 1 1 3 8
91.5 6 2 5 3
90.0 7 1 3 7
88.5 9 4 6
87.0 4 1 2 5
85.5 10 2 5 7
84.0 5 4 3
82.5 8 6 10 5
81.0 5 4 6 5
79.5 9 2 5 7
78.0 12 5 1 7 12
76.5 15 2 11 8 2
75.0 4 4 3 8
73.5 8 3 8 6 1
72.0 9 5 7 10 2
70.5 12 7 9 12 2
69.0 13 4 14 4 1
67.5 12 10 15 10 1
66.0 14 5 13 9 2
64.5 11 7 1 8 11 1
63.0 11 3 6 9
61.5 12 6 9 11 2
60.0 14 13 1 19 14 1
58.5 16 6 2 15 6
57.0 9 14 1 14 9
55.5 8 11 8 17
54.0 15 12 1 17 14 1
52.5 7 8 9 9
51.0 13 8 1 11 10
49.5 10 13 12 12 2
48.0 9 10 10 9 3
46.5 7 6 8 8
45.0 2 7 2 1 8 2
43.5 4 10 1 4 10
42.0 5 8 10 4
40.5 4 7 9 4 1
39.0 5 4 1 5 4
37.5 5 4 1 1
36.0 7 1 8 3 1
34.5 2 2 1 1 2
33.0 2 2 1 1 3
31.5 1 1 1 1
30.0 3 2 2 1
25.5 1 1
24.0 1 1 2
18.0 2 1 1
12.0 1
1
American Mathematics Competitions
2008 AMC 12 A Results for Missouri
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.79 0.79 6.06 89.99* 2.11 0.26 0.00
2 94.73* 1.71 0.26 0.13 2.64 0.53 0.00
3 3.16 5.27 73.39* 7.77 2.90 7.38 0.13
4 8.04 48.62* 5.53 5.67 3.56 28.19 0.40
5 1.32 42.29* 11.07 29.91 7.11 8.17 0.13
6 51.78* 6.46 2.37 30.70 1.45 7.11 0.13
7 4.08 2.77 5.40 75.10* 7.51 5.01 0.13
8 3.69 6.98 61.13* 4.48 11.99 11.59 0.13
9 3.69 10.14 7.64 37.02* 5.14 36.23 0.13
10 10.54 31.75 9.22 35.44* 2.37 10.54 0.13
11 4.48 5.67 64.56* 5.53 3.56 16.07 0.13
12 11.20 27.01* 6.46 8.70 5.53 40.97 0.13
13 4.35 25.82* 9.35 15.94 9.62 34.78 0.13
14 11.33* 5.14 3.95 5.67 3.16 70.62 0.13
15 9.49 9.62 10.14 11.46* 8.04 51.12 0.13
16 3.29 7.51 5.40 9.88* 1.84 71.94 0.13
17 2.77 5.40 5.93 8.04* 6.32 71.41 0.13
18 2.64 5.01 8.43* 1.84 6.98 74.97 0.13
19 2.37 8.56 8.70* 4.48 2.24 73.52 0.13
20 2.37 3.95 3.95 3.82 5.40* 80.50 0.00
21 5.67 6.72 4.87 10.54* 3.43 68.64 0.13
22 4.48 7.51 7.64* 7.11 3.82 69.30 0.13
23 2.64 3.29 3.69 3.95* 2.64 83.66 0.13
24 5.27 12.12 9.35 1.98* 5.53 65.48 0.26
25 1.98 4.35 4.61 6.72* 3.16 79.05 0.13
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2008 AMC 10 B Results for Missouri
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
129.0 1 1
126.0 2 2 2 2
120.0 1 1
118.5 1 1 1 1
117.0 1 1 2
115.5 1 1 1 1
112.5 2 2
111.0 1
109.5 2 1 1
108.0 4 1 3
105.0 2 1 3
103.5 1 1
102.0 5 1 4
100.5 1 1
99.0 2 2
97.5 1 1
96.0 3 1 1 2 1
94.5 4 1 1 2 2
93.0 1 1
91.5 1 1 1 1
90.0 2 1 1 2
88.5 2 1 2 3
87.0 3 1 3 3
85.5 10 3 2 1 2 8
84.0 4 2 1 6
82.5 5 3 3 5
81.0 8 7 6 10
79.5 6 4 1 4 6
78.0 10 3 1 4 8
76.5 3 3 3 4
75.0 6 4 6 5
73.5 8 3 1 5 6
72.0 11 6 7 12
70.5 7 7 2 11 1
69.0 12 9 1 10 10
67.5 10 8 9 12
66.0 17 13 1 12 19 1
64.5 10 13 12 11 2
63.0 13 16 1 10 19
61.5 8 15 11 13
60.0 20 12 16 19 2
58.5 15 7 12 11 2
57.0 7 12 11 8
55.5 13 16 10 20 3
54.0 19 19 22 19
52.5 12 19 1 16 15 1
51.0 15 17 16 17
49.5 16 8 1 14 11 3
48.0 15 13 16 11 3
46.5 18 12 19 12
45.0 6 12 9 9 1
43.5 14 7 1 8 12 1
42.0 27 20 27 22
40.5 9 9 1 3 14
39.0 11 9 9 12
37.5 9 11 11 10 1
36.0 9 13 14 7 1
34.5 2 7 7 3
33.0 6 5 4 7
31.5 2 5 3 4
30.0 9 3 4 8
28.5 5 4 8 1
27.0 2 2 2 2
25.5 1 3 2 2
24.0 1 2 2 1 1
22.5 1 1 1 1
21.0 1 1
16.5 2 2
12.0 1 1
6.0 1 1
American Mathematics Competitions
2008 AMC 10 B Results for Missouri
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 3.57 0.45 3.12 11.37 78.48* 2.79 0.22
2 7.58 72.24* 7.13 3.12 2.45 7.47 0.00
3 19.51 4.91 6.13 20.51* 6.47 42.36 0.11
4 11.48 17.06 59.64* 3.01 0.89 7.92 0.00
5 35.79* 7.58 2.90 2.79 5.80 45.15 0.00
6 8.47 5.80 32.00* 10.59 8.03 35.12 0.00
7 8.92 8.92 56.74* 5.35 7.02 13.04 0.00
8 2.23 10.26 48.94* 11.37 7.92 19.29 0.00
9 13.82* 4.35 4.68 9.03 10.48 57.64 0.00
10 17.06* 7.02 3.79 5.35 5.80 60.98 0.00
11 2.68 9.36* 8.70 10.48 4.24 64.55 0.00
12 69.90* 5.35 4.68 3.23 5.35 11.48 0.00
13 21.07 9.14* 9.70 2.79 3.68 53.62 0.00
14 11.04 25.31* 5.57 4.46 1.67 51.95 0.00
15 11.04* 7.25 5.57 7.25 5.91 62.99 0.00
16 25.98* 26.87 3.79 4.57 5.13 33.67 0.00
17 10.70 6.80* 24.41 15.38 10.26 32.33 0.11
18 8.70 16.95* 13.27 6.47 3.57 50.95 0.11
19 3.34 3.23 7.58 10.70 5.46* 69.68 0.00
20 10.81 30.99* 10.37 8.92 4.46 34.45 0.00
21 14.94 10.03 6.13* 4.91 3.34 60.54 0.11
22 11.93 7.13 25.53* 14.27 7.02 33.78 0.33
23 9.14 7.80* 7.13 7.58 4.35 63.88 0.11
24 8.58 8.36 9.25* 11.59 8.36 53.85 0.00
25 19.84 14.16* 10.14 3.68 4.35 47.71 0.11
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2008 AMC 12 B Results for Missouri
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
132.0 1 1
121.5 1 1
115.5 1 1
114.0 1 1
112.5 2 1 1
109.5 2 2
108.0 2 1 1
106.5 1 1
105.0 1 1
103.5 2 1 1
100.5 2 2 1
99.0 1 2
97.5 1 1
96.0 4 1 3
94.5 2 2
93.0 1 1
91.5 7 2 5
90.0 6 2 5 4
88.5 9 1 4 7
87.0 2 2 1 4 1
85.5 5 1 3 3 1
84.0 3 3 3 5
82.5 14 3 6 12
81.0 8 5 11 2
79.5 6 1 6 2
78.0 13 4 1 7 10
76.5 13 10 1 15 8 1
75.0 10 6 10 6 1
73.5 7 3 3 7
72.0 12 10 2 8 13
70.5 12 11 1 8 15
69.0 18 11 2 14 14 1
67.5 13 12 1 14 11
66.0 6 6 8 10 1
64.5 16 8 1 16 9
63.0 24 20 3 25 18
61.5 10 11 12 10
60.0 19 18 2 22 17
58.5 23 22 29 18 1 2
57.0 18 12 2 25 6 1
55.5 11 11 1 14 11
54.0 19 16 1 20 18
52.5 13 14 1 13 17 2
51.0 14 16 1 12 20
49.5 10 12 13 14 1
48.0 16 12 1 16 12 1
46.5 10 12 16 8 2
45.0 9 8 2 8 9 2
43.5 7 3 1 5 6
42.0 13 9 19 6
40.5 5 9 10 6
39.0 9 8 11 6 2
37.5 3 6 6 3
36.0 11 5 1 7 9 1
34.5 3 2 1
33.0 2 3 2 3
31.5 4 1 4 2
30.0 4 4 1
28.5 2 2 1 3
27.0 2 3 1 3 1
25.5 1 1
24.0 3 3 3 5
21.0 1 1
19.5 1
18.0 4 4
16.5 1 1
American Mathematics Competitions
2008 AMC 12 B Results for Missouri
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.66 1.21 2.10 11.81 81.13* 2.10 0.00
2 6.40 79.91* 7.06 1.99 1.99 2.65 0.00
3 8.50 13.13 70.97* 1.77 0.55 5.08 0.00
4 1.99 4.53 7.28 64.90* 3.53 17.77 0.00
5 2.21 6.07 60.26* 10.60 5.30 15.56 0.00
6 81.24* 4.08 2.43 2.10 3.42 6.73 0.00
7 52.87* 6.18 3.53 1.55 4.64 31.24 0.00
8 5.41 5.96 45.14* 9.93 5.63 27.92 0.00
9 19.65* 7.17 4.53 4.86 5.74 57.95 0.11
10 4.75 25.17* 12.69 7.28 3.97 46.14 0.00
11 5.96* 4.64 4.86 8.39 34.00 42.16 0.00
12 25.28 15.56* 8.83 2.65 4.19 43.49 0.00
13 1.55 10.60* 4.30 5.74 2.54 75.28 0.00
14 5.19 4.42 16.23* 9.38 5.19 59.60 0.00
15 3.09 4.53 8.28* 5.63 7.40 71.08 0.00
16 18.54 9.93* 8.50 7.95 1.32 53.75 0.00
17 3.64 4.42 6.07* 5.08 2.21 78.59 0.00
18 4.86 5.41 6.07 7.95 4.30* 71.41 0.00
19 5.85 5.74* 6.51 4.75 2.10 74.94 0.11
20 26.60 14.24* 8.39 3.64 3.64 43.49 0.00
21 3.42 4.08 3.53 5.08 2.10* 81.79 0.00
22 6.07 7.84 8.28 5.85 6.73* 65.23 0.00
23 2.54* 5.74 4.42 4.19 1.99 81.13 0.00
24 1.99 4.75 2.98* 2.98 2.10 85.21 0.00
25 2.87 2.87* 3.97 4.86 3.64 81.79 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column