American Mathematics Competitions
2009 AMC 10 A Results for Missouri
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 797
Number of unofficial participants: 0
Average score of participants: 67.4
Average score for female students is: 61.2 ( 287 Students)
Average score for male students is: 72.8 ( 384 Students)
Average score for unspecified gender is 65.0 ( 126 Students)
Average score for grade 10 is: 68.3 ( 432 Students)
Average score for grade 9 is: 64.9 ( 317 Students)
Average score for grade 8 and below is: 91.7 ( 20 Students)
Average score with unknown grade: 65.3 ( 28 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 15
Number of schools returning results 33
Average school winning score 103.14
American Mathematics Competitions
2009 AMC 12 A Results for Missouri
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 946
Number of unofficial participants: 0
Average score of participants: 65.2
Average score for female students is: 61.0 ( 313 Students)
Average score for male students is: 67.9 ( 488 Students)
Average score for unspecified gender is 65.1 ( 145 Students)
Average score for grade 13 is: 42.0 ( 1 Student)
Average score for grade 12 is: 67.2 ( 362 Students)
Average score for grade 11 is: 64.5 ( 483 Students)
Average score for grade 10 is: 73.8 ( 26 Students)
Average score for grade 9 is: 57.2 ( 13 Students)
Average score for grade 8 and below is: 46.7 ( 9 Students)
Average score with unknown grade: 59.1 ( 52 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 44
Number of schools returning results 38
Average school winning score 94.18
Average school team score 259.22
American Mathematics Competitions
2009 AMC 10 B Results for Missouri
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 318
Number of unofficial participants: 0
Average score of participants: 68.7
Average score for female students is: 60.7 ( 92 Students)
Average score for male students is: 71.2 ( 189 Students)
Average score for unspecified gender is 75.5 ( 37 Students)
Average score for grade 10 is: 69.4 ( 165 Students)
Average score for grade 9 is: 66.6 ( 113 Students)
Average score for grade 8 and below is: 74.4 ( 24 Students)
Average score with unknown grade: 66.4 ( 16 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 9
Number of schools returning results 21
Average school winning score 105.50
American Mathematics Competitions
2009 AMC 12 B Results for Missouri
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 486
Number of unofficial participants: 0
Average score of participants: 65.4
Average score for female students is: 56.7 ( 154 Students)
Average score for male students is: 71.3 ( 238 Students)
Average score for unspecified gender is 64.4 ( 94 Students)
Average score for grade 12 is: 66.2 ( 191 Students)
Average score for grade 11 is: 66.5 ( 218 Students)
Average score for grade 10 is: 69.6 ( 17 Students)
Average score for grade 9 is: 81.9 ( 5 Students)
Average score for grade 8 and below is: 115.5 ( 3 Students)
Average score with unknown grade: 51.8 ( 52 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 36
Number of schools returning results 29
Average school winning score 94.91
Average school team score 237.83
2009 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
385.5 1 1
351.0 1 2
346.5 1 3
343.5 1 4
342.0 1 5
340.5 1 6
336.0 1 7
321.0 1 8
318.0 1 9
313.5 1 10
312.0 1 11
310.5 1 12
309.0 2 13
300.0 1 15
297.0 2 1 16
288.0 1 19
286.5 1 20
282.0 1 21
280.5 1 22
276.0 1 23
274.5 1 24
273.0 1 25
271.5 1 26
270.0 1 27
265.5 1 28
262.5 1 29
261.0 1 30
259.5 3 31
249.0 1 34
241.5 1 35
238.5 1 36
235.5 1 37
229.5 2 2 38
228.0 1 1 42
226.5 1 44
225.0 2 45
222.0 1 47
220.5 1 2 48
216.0 2 51
213.0 1 53
210.0 1 54
208.5 2 55
207.0 1 57
205.5 1 58
204.0 1 59
190.5 1 60
181.5 1 61
175.5 1 62
156.0 1 63
136.5 1 64
81.0 1 65
76.5 1 66
64.5 1 67
2009 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 2
144.0 2 1
138.0 1
136.5 1
135.0 1 1
132.0 1 1
130.5 1
129.0 1
127.5 1 1 4
126.0 2 1 1 3
123.0 2 1
121.5 1 1
120.0 1 2 1
117.0 1 3 1
115.5 2 1 1
114.0 4 6 2
112.5 2 3
111.0 3 1 3
109.5 3 1 2 3
108.0 3 2 3 3
106.5 3 2 2 4
105.0 1 3 8 1
103.5 3 4 3 3
102.0 1 2 7 1
100.5 6 9 5 3
99.0 7 2 5 1
97.5 5 3 6 4
96.0 3 5 5 6
94.5 11 8 6 1
93.0 6 7 7 6
91.5 7 3 11 6
90.0 7 7 15 4
88.5 11 4 11 3
87.0 7 8 12 2
85.5 11 8 17 7
84.0 14 9 18 6
82.5 19 9 13 6
81.0 13 6 14 5
79.5 11 4 8 8
78.0 23 16 17 6
76.5 20 15 21 8
75.0 19 11 14 6
73.5 33 8 20 9
72.0 44 10 18 9
70.5 29 18 21 3
69.0 28 17 28 14
67.5 33 9 22 8
66.0 49 11 27 7
64.5 42 13 22 8
63.0 42 9 24 5
61.5 42 8 23 9
60.0 41 11 23 11
58.5 37 11 19 9
57.0 28 13 25 9
55.5 28 10 19 10
54.0 38 12 29 2
52.5 31 9 31 8
51.0 20 22 17 13
49.5 22 11 17 6
48.0 13 18 30 7
46.5 15 11 18 5
45.0 15 9 15 6
43.5 14 10 14 4
42.0 15 9 15 9
40.5 5 15 15 5
39.0 7 9 6 2
37.5 21 5 8 5
36.0 8 9 11 4
34.5 1 8 6 3
33.0 3 3 4 5
31.5 1 5 1 1
30.0 6 4 1 4
28.5 1 3
27.0 1 1 1
25.5 3 3 1
24.0 2 3
22.5 1 1
21.0 1
19.5 1
18.0 1
12.0 1 1
6.0 1
American Mathematics Competitions
2009 AMC 10 A Results for Missouri
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
150.0 2 1 1
144.0 1 2
135.0 1 1
129.0 1 1
127.5 4 2 2
126.0 1
123.0 1 1 1 1
120.0 1 1 2
117.0 3 1 2
114.0 4 1 5 1
112.5 2 1 2
111.0 2 1 1 2
109.5 1 1 2
108.0 3 1 2
106.5 2 2
105.0 6 1 3 4
103.5 2 1 1 2
102.0 4 2 2 4 1
100.5 4 1 5
99.0 4 1 1 4
97.5 2 3 3 3
96.0 4 1 1 2 1
94.5 1 4 1 2 3
93.0 3 2 4 2 1
91.5 7 3 4 6 1
90.0 8 2 6 7 2
88.5 7 1 2 7 2
87.0 9 3 3 9
85.5 11 3 1 6 8 2
84.0 12 5 1 4 13
82.5 5 6 1 3 9
81.0 11 2 7 7
79.5 5 3 1 2 5
78.0 13 3 10 6 1
76.5 15 4 1 7 13
75.0 7 5 5 9
73.5 9 10 6 14
72.0 12 4 8 10
70.5 13 4 4 16 1
69.0 9 14 1 5 22
67.5 13 4 11 9 2
66.0 11 11 9 17 1
64.5 11 9 9 13
63.0 10 8 6 17 1
61.5 7 13 1 7 14 1
60.0 11 11 10 13
58.5 10 4 10 8 1
57.0 7 14 17 8
55.5 11 6 11 8
54.0 14 10 1 10 16 2
52.5 10 15 20 11
51.0 3 8 9 7 1
49.5 3 11 7 9 1
48.0 14 9 17 13
46.5 6 8 12 5 1
45.0 10 3 6 8 1
43.5 3 6 6 7 1
42.0 3 9 1 5 9
40.5 5 8 5 9 1
39.0 5 2 3 1
37.5 1 7 5 3
36.0 6 5 4 7
34.5 4 1 2 2 1
33.0 1 2 4
31.5 1 1
30.0 1 1
28.5 1 2 2 1
27.0 1 1
22.5 1
19.5 1 1
12.0 1 1
6.0 1 1
American Mathematics Competitions
2009 AMC 10 A Results for Missouri
Analysis
Table of Item Difficulty for the 2009
American Mathematics Competitions 10/12
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.25 0.25 0.13 6.65 92.22* 0.50 0.00
2 94.10* 0.88 0.75 1.38 1.51 1.38 0.00
3 2.26 9.16 64.74* 7.78 5.14 10.92 0.00
4 28.36* 7.15 5.90 8.16 15.93 34.50 0.00
5 10.16 5.27 6.52 4.14 48.18* 25.72 0.00
6 59.97* 2.89 7.78 4.27 1.00 24.09 0.00
7 6.27 5.40 33.12* 2.89 28.98 23.34 0.00
8 9.79 78.42* 3.89 0.63 1.25 6.02 0.00
9 8.28 20.95* 8.03 3.89 0.00 58.85 0.00
10 3.89 23.71* 8.53 11.54 1.76 50.56 0.00
11 3.01 3.14 3.76 55.96* 1.88 32.25 0.00
12 2.26 7.03 30.99* 9.03 6.52 44.17 0.00
13 24.84 4.89 4.02 13.80 11.42* 41.03 0.00
14 45.17* 1.25 4.52 3.26 14.81 30.99 0.00
15 2.63 2.76 4.89 8.03 49.31* 32.37 0.00
16 23.21 5.27 3.39 12.67* 6.02 49.44 0.00
17 4.52 12.30 7.03* 1.63 3.01 71.52 0.00
18 16.31 11.29 7.40 19.70* 7.28 38.02 0.00
19 4.77 12.92* 10.04 6.27 2.26 63.74 0.00
20 8.03 8.66 10.04 41.28* 1.51 30.49 0.00
21 2.51 4.14 12.55* 3.14 1.63 76.04 0.00
22 4.89 7.03 30.61 7.90* 3.76 45.67 0.13
23 2.76 2.38 5.27 4.02 9.66* 75.91 0.00
24 8.66 14.55 8.03* 5.02 8.03 55.71 0.00
25 6.27 5.27* 5.52 3.89 4.14 74.91 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
2009 AMC 12 A Results for Missouri
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
135.0 1 1
127.5 1 1
126.0 1 1 1 1
117.0 1 1
115.5 2 2
112.5 2 2
111.0 3 3
109.5 2 1 2
108.0 3 1 1 1
106.5 3 1 2
105.0 1 1
103.5 3 1 1 1
102.0 1 1
100.5 4 2 1 2 3
99.0 5 2 4 3
97.5 4 1 1 2 2
96.0 1 1 1 2
94.5 10 7 4
93.0 3 1 1 2 3
91.5 3 2 1 2 3 1
90.0 4 1 3 4
88.5 7 1 2 7 1 1
87.0 5 1 6 1
85.5 6 2 6 5
84.0 6 4 8 5 1
82.5 13 2 7 12
81.0 10 2 7 4 2
79.5 8 2 8 3
78.0 14 2 11 12
76.5 11 6 1 8 10 1
75.0 11 2 1 8 7 3
73.5 20 11 1 18 14
72.0 29 8 2 20 19 3
70.5 12 11 17 12
69.0 17 6 1 1 13 11 2
67.5 11 15 1 15 17
66.0 25 18 1 2 28 15 3
64.5 20 15 1 21 17 3
63.0 14 22 23 16 3
61.5 19 19 21 17 4
60.0 18 16 25 16
58.5 20 14 1 1 23 11 1
57.0 8 14 1 13 10 4
55.5 15 11 16 11 1
54.0 18 14 1 1 2 16 17 1
52.5 15 13 3 13 14 1
51.0 8 12 12 7 1
49.5 10 10 1 1 14 6
48.0 8 4 8 3 2
46.5 8 4 13 2
45.0 7 7 2 2 2 1 3 5
43.5 5 7 1 5 7 1
42.0 6 8 1 7 6 1
40.5 2 2 3 2
39.0 3 2 2 1 2 2
37.5 5 5 2 7 1 11
36.0 7 1 8
34.5 1 1
33.0 2 1 2 1
31.5 1 1
30.0 4 2 4 2
28.5 1 1
27.0 1 1
25.5 2 2 1
24.0 1 1 1
22.5 1 1
18.0 1 1
American Mathematics Competitions
2009 AMC 12 A Results for Missouri
Analysis
Table of Item Difficulty for the 2009
American Mathematics Competitions 10/12
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 87.21* 5.29 1.48 0.63 1.48 3.91 0.00
2 1.27 4.97 84.57* 3.59 1.48 4.12 0.00
3 5.07 77.06* 3.28 7.19 2.64 4.76 0.00
4 94.50* 0.74 0.21 1.06 0.95 2.54 0.00
5 0.95 1.59 2.33 77.17* 1.27 16.70 0.00
6 23.78 4.55 3.07 14.27 27.38* 26.96 0.00
7 2.22 22.94* 4.97 2.85 2.22 64.69 0.11
8 56.34* 2.11 5.07 5.71 8.77 21.99 0.00
9 2.85 4.65 5.07 27.70* 5.60 54.12 0.00
10 2.64 7.29 38.27* 10.04 7.51 34.14 0.11
11 1.59 3.07 3.91 6.45 66.38* 18.60 0.00
12 10.68 25.48* 6.77 6.55 3.17 47.25 0.11
13 9.73 9.62 13.00 16.60* 6.03 44.82 0.21
14 3.70 6.34* 8.25 11.31 6.55 63.85 0.00
15 7.93 4.44 7.51 21.78* 6.87 51.48 0.00
16 13.74 6.87 7.40 6.45* 3.17 62.37 0.00
17 4.33 3.70 8.03* 4.33 8.56 71.04 0.00
18 11.21 6.66* 6.24 2.33 2.75 70.82 0.00
19 8.14 8.88 7.51* 6.13 7.72 61.52 0.11
20 3.91 2.43 7.08 4.97 10.68* 70.93 0.00
21 4.97 4.23 6.34* 2.43 3.70 78.33 0.00
22 4.02 4.33 4.12 3.49 2.85* 81.18 0.00
23 1.16 3.38 3.49 3.07* 0.85 88.05 0.00
24 7.82 5.29 2.85 2.64 2.01* 79.39 0.00
25 3.28* 3.49 5.39 4.55 6.55 76.64 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
2009 AMC 10 B Results for Missouri
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
144.0 1 1
132.0 1 1
130.5 1 1
126.0 2 2 1
123.0 1 1
121.5 1 1
120.0 1 1
117.0 1 1
115.5 1 1
114.0 1 2
109.5 2 1 3
108.0 1 1 1 2
106.5 4 1 3
105.0 1 1
103.5 1 1 2 1
102.0 1 1
100.5 1 1 2 1
99.0 1 1
97.5 4 2 2
96.0 2 3 2 3 1
94.5 1 1
93.0 3 1 1 4 1
91.5 2 4 1 3 2
90.0 2 1 2 1
88.5 3 1 2
87.0 2 2
85.5 6 1 1 2 4
84.0 3 2 4 2
82.5 3 2 3 3
81.0 2 1 4 1
79.5 6 3 5
78.0 4 2 4
76.5 4 2 1 7
75.0 2 1 1 2 3
73.5 7 1 1 7 1
72.0 7 2 1 1 7
70.5 2 1 1 2
69.0 10 3 2 1 4 7
67.5 7 1 1 2 5
66.0 4 3 1 1 3 2
64.5 2 3 1 4 3
63.0 4 1 2 3
61.5 6 3 1 5 3
60.0 8 2 1 3 7
58.5 8 1 5 4
57.0 5 3 1 1 4 1 2
55.5 3 5 1 3 5 1
54.0 1 1 1 1
52.5 4 4 3 5
51.0 7 6 6 7
49.5 5 1 3 3
48.0 5 2 5 2
46.5 2 3 3 2
45.0 4 2 2 4
43.5 1 1 3 1
42.0 4 5 2 2 5
40.5 4 2 3
39.0 1 1 2
37.5 2 2 1 1 3
36.0 3 1 3 1
34.5 2 1 1 1 1
33.0 3 2 2 3
31.5 1 1
30.0 1 2 3 1
27.0 1 1
25.5 1 1
American Mathematics Competitions
2009 AMC 10 B Results for Missouri
Analysis
Table of Item Difficulty for the 2009
American Mathematics Competitions 10/12
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.31 75.79* 5.66 13.84 2.52 1.89 0.00
2 2.52 0.31 91.51* 0.94 0.00 4.72 0.00
3 2.83 3.14 72.33* 13.21 0.63 7.86 0.00
4 2.20 3.77 67.30* 11.01 2.83 12.89 0.00
5 9.43 1.57 17.30 54.09* 3.14 14.47 0.00
6 0.63 1.89 4.40 72.96* 2.83 17.30 0.00
7 12.89 15.41 54.09* 9.12 4.09 4.40 0.00
8 6.92 34.91* 6.60 33.33 3.77 14.47 0.00
9 40.57* 6.29 2.83 8.18 4.09 38.05 0.00
10 7.55 1.26 5.35 5.66 46.23* 33.96 0.00
11 63.52* 2.83 5.97 3.14 0.94 23.58 0.00
12 22.33* 15.72 6.92 11.95 12.58 30.50 0.00
13 4.09 13.21 39.94* 6.92 12.26 23.58 0.00
14 5.03 30.50 19.50 16.04* 4.40 24.53 0.00
15 9.12 9.75 4.72 7.55 45.60* 23.27 0.00
16 5.35 11.01* 5.03 3.77 7.55 67.30 0.00
17 18.55 16.35 16.67* 4.40 0.31 43.71 0.00
18 6.29 6.60 4.40 15.41* 3.46 63.84 0.00
19 17.92* 22.01 8.49 12.26 6.29 33.02 0.00
20 6.29 14.78* 8.18 0.63 1.89 68.24 0.00
21 7.86 13.21 4.40 10.06* 4.09 60.38 0.00
22 4.40 4.09* 3.14 5.97 1.89 80.50 0.00
23 8.18 9.75 11.01* 8.18 6.29 56.60 0.00
24 17.30* 3.77 4.40 4.40 5.66 64.47 0.00
25 21.07 14.78* 9.43 6.29 5.66 42.77 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
2009 AMC 12 B Results for Missouri
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
138.0 1 1
136.5 1 1
132.0 1 1
127.5 1 1
126.0 1 1
121.5 1 1
120.0 1 1
115.5 1
114.0 4 2 2
111.0 1
109.5 1 1
108.0 2 1 1
106.5 2 2
105.0 1 1 1 2
103.5 4 4
102.0 1 2
100.5 6 1 1 3 5
99.0 1 1 1
97.5 1 2 1 1 1
96.0 3 2 3
94.5 6 1 4 2 1
93.0 4 1 2 4 1
91.5 1 1 2 1
90.0 5 1 3 4
88.5 2 1 2 1
87.0 3 3 2 5 1
85.5 5 2 5 1
84.0 5 1 1 3 4 1
82.5 6 1 1 6 2
81.0 4 1 1 5
79.5 2 2 1 3
78.0 12 1 1 9 6
76.5 10 3 1 7 7
75.0 6 3 1 8 2
73.5 5 3 6 2
72.0 6 3 7 3
70.5 13 4 1 9 7 1
69.0 7 6 1 8 7 1
67.5 4 4 2 6 1
66.0 4 2 1 3 4 3
64.5 8 2 6 5 2
63.0 6 3 6 3
61.5 3 4 5 2 1
60.0 7 3 6 4 1
58.5 5 5 1 7 2 1
57.0 3 8 8 4 1
55.5 6 2 6 2 2
54.0 4 6 1 6 3 2
52.5 2 5 3 4 2
51.0 5 16 13 8 1
49.5 2 8 1 4 5 1
48.0 5 9 1 5 8 4
46.5 4 4 5 4 2
45.0 3 3 1 2 5 1
43.5 6 3 1 3 5 1
42.0 3 3 1 3 2 3
40.5 7 4 6 5 4
39.0 4 5 4 5
37.5 2 1 1 2 2
36.0 2 6 2 6 1
34.5 1 5 2 5 1
33.0 1 1 2
31.5 2 2 2 2 1
30.0 3 2 1 1
25.5 1 1 2
24.0 1 1 2 1
21.0 1
12.0 1 1
American Mathematics Competitions
2009 AMC 12 B Results for Missouri
Analysis
Table of Item Difficulty for the 2009
American Mathematics Competitions 10/12
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.21 78.19* 5.97 11.73 3.50 0.41 0.00
2 0.82 3.91 79.22* 12.35 0.62 3.09 0.00
3 9.05 2.47 23.46 55.35* 3.70 5.97 0.00
4 1.85 1.85 77.37* 11.11 1.85 5.97 0.00
5 1.44 1.03 3.91 79.42* 4.12 10.08 0.00
6 10.70 15.84 54.32* 8.02 6.38 4.53 0.21
7 2.47 45.27* 7.00 28.81 5.76 10.70 0.00
8 6.17 6.79 2.67 4.73 59.26* 20.37 0.00
9 46.30* 5.56 4.73 5.76 2.26 35.39 0.00
10 37.65* 18.72 9.67 9.47 1.65 22.84 0.00
11 3.91 27.98 17.90 21.60* 7.82 20.78 0.00
12 4.12 2.06 5.76 4.53 31.69* 51.85 0.00
13 4.53 3.91 5.14 19.34* 6.79 60.29 0.00
14 15.23 15.64 29.84* 4.12 0.41 34.77 0.00
15 1.23 46.30* 12.35 7.82 4.32 27.98 0.00
16 3.50 4.73* 2.88 3.50 1.65 83.74 0.00
17 24.69 19.75* 8.85 6.38 6.58 33.74 0.00
18 3.91 8.64 13.37* 9.05 4.94 60.08 0.00
19 2.67 3.29 2.88 2.26 3.70* 85.19 0.00
20 3.91 4.53 4.12* 2.06 4.94 80.45 0.00
21 7.20* 9.26 5.35 10.91 22.43 44.86 0.00
22 3.09 2.67 4.53* 4.94 2.06 82.72 0.00
23 3.50 4.12 4.12 5.14* 2.26 80.86 0.00
24 7.61 6.79* 4.73 5.35 1.65 73.87 0.00
25 10.70 3.70 4.73 4.53 6.17* 70.16 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column