American Mathematics Competitions
2009 AMC 10 A Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 632
Number of unofficial participants: 0
Average score of participants: 69.9
Average score for female students is: 65.9 ( 273 Students)
Average score for male students is: 76.0 ( 257 Students)
Average score for unspecified gender is 65.2 ( 102 Students)
Average score for grade 10 is: 71.7 ( 280 Students)
Average score for grade 9 is: 69.3 ( 245 Students)
Average score for grade 8 and below is: 73.9 ( 35 Students)
Average score with unknown grade: 62.9 ( 72 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 16
Number of schools returning results 34
Average school winning score 99.35
American Mathematics Competitions
2009 AMC 12 A Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 805
Number of unofficial participants: 0
Average score of participants: 65.5
Average score for female students is: 61.6 ( 284 Students)
Average score for male students is: 68.0 ( 433 Students)
Average score for unspecified gender is 65.7 ( 88 Students)
Average score for grade 12 is: 66.1 ( 306 Students)
Average score for grade 11 is: 64.5 ( 393 Students)
Average score for grade 10 is: 72.2 ( 52 Students)
Average score for grade 9 is: 66.3 ( 15 Students)
Average score for grade 8 and below is: 70.7 ( 8 Students)
Average score with unknown grade: 59.3 ( 31 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 29
Number of schools returning results 34
Average school winning score 95.29
Average school team score 252.13
American Mathematics Competitions
2009 AMC 10 B Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 141
Number of unofficial participants: 0
Average score of participants: 68.9
Average score for female students is: 61.5 ( 48 Students)
Average score for male students is: 75.5 ( 74 Students)
Average score for unspecified gender is 62.1 ( 19 Students)
Average score for grade 10 is: 68.1 ( 61 Students)
Average score for grade 9 is: 65.7 ( 64 Students)
Average score for grade 8 and below is: 100.9 ( 10 Students)
Average score with unknown grade: 58.5 ( 6 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 6
Number of schools returning results 13
Average school winning score 97.04
American Mathematics Competitions
2009 AMC 12 B Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 239
Number of unofficial participants: 0
Average score of participants: 70.0
Average score for female students is: 60.0 ( 63 Students)
Average score for male students is: 74.3 ( 148 Students)
Average score for unspecified gender is 69.7 ( 28 Students)
Average score for grade 12 is: 67.0 ( 106 Students)
Average score for grade 11 is: 69.5 ( 106 Students)
Average score for grade 10 is: 92.4 ( 13 Students)
Average score for grade 9 is: 83.7 ( 10 Students)
Average score with unknown grade: 53.6 ( 4 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 18
Number of schools returning results 19
Average school winning score 95.45
Average school team score 240.55
2009 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
346.5 1 1
330.0 1 2
315.0 1 3
306.0 1 4
304.5 1 5
298.5 1 6
297.0 2 1 7
295.5 2 10
294.0 1 12
288.0 1 13
285.0 1 14
283.5 1 15
282.0 1 16
279.0 1 17
276.0 1 1 18
274.5 2 20
273.0 1 22
264.0 1 23
262.5 1 24
259.5 2 25
256.5 1 1 27
255.0 1 29
252.0 2 30
250.5 1 32
247.5 1 33
243.0 1 34
241.5 1 35
235.5 1 36
232.5 1 37
225.0 2 38
223.5 1 40
219.0 2 1 41
202.5 1 44
198.0 1 45
186.0 1 46
175.5 1 47
168.0 1 48
166.5 1 49
154.5 1 50
127.5 1 51
111.0 1 52
87.0 1 53
2009 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
144.0 2
141.0 2
138.0 1
135.0 2
133.5 1
132.0 1
130.5 1
129.0 1
126.0 2
124.5 1 1
123.0 1
120.0 4 1
118.5 1 2
117.0 3
115.5 2 2
114.0 1 1 2
112.5 2 2
111.0 2 1 4 1
109.5 2 2 3 1
108.0 2 2 2 2
106.5 1 1 1
105.0 2
103.5 3 4 2 1
102.0 4 5 1
100.5 7 2 3 1
99.0 3 2 8
97.5 4 2 4 1
96.0 1 5 8 4
94.5 7 4 5 1
93.0 8 3 6 1
91.5 5 7 7 1
90.0 14 1 17 1
88.5 16 1 10 1
87.0 12 4 15 1
85.5 12 2 6 6
84.0 8 8 15 3
82.5 20 5 12 2
81.0 16 5 13
79.5 9 5 8 2
78.0 17 9 20 3
76.5 26 5 13 5
75.0 22 6 15 3
73.5 30 7 14
72.0 30 9 25 3
70.5 31 9 21 3
69.0 29 11 27 2
67.5 36 12 17 8
66.0 35 4 27 4
64.5 31 8 19
63.0 33 4 20 4
61.5 28 6 19 7
60.0 24 7 27 5
58.5 26 4 17 1
57.0 32 5 15 7
55.5 27 4 13 2
54.0 24 7 19 5
52.5 21 6 27 7
51.0 13 5 10 1
49.5 11 4 6 1
48.0 21 6 9 4
46.5 9 4 7 6
45.0 6 6 11 2
43.5 8 2 7 2
42.0 21 2 5 5
40.5 4 1 6 2
39.0 8 3 6 1
37.5 4 3 2 1
36.0 11 6 4
34.5 1 2
33.0 5 1 6
31.5 3 1 3 1
30.0 6 3
28.5 2 1 1
27.0 2 1 3
25.5 2 2
24.0 4 4
21.0 1 1
19.5 1
18.0 1
13.5 1
12.0 2 1 1
American Mathematics Competitions
2009 AMC 10 A Results for Colorado
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
150.0 1
144.0 2 2
141.0 1 1 2
135.0 2 1 1
133.5 1 1
130.5 1 1
126.0 2 1 1
124.5 1 1
120.0 4 1 3
118.5 2 1 1
115.5 1 1 2
114.0 2 2
112.5 1 1 2
111.0 2 1 4
109.5 2 1 2 1
108.0 2 1 1
106.5 1 1
105.0 1 1 1 1
103.5 2 2
102.0 3 1 2 2 1
100.5 3 1 1 1
99.0 5 2 4 3 1
97.5 1 2 4
96.0 4 3 5 3
94.5 3 2 3 2
93.0 3 3 1 5
91.5 4 2 1 5 1
90.0 9 5 12 5
88.5 6 3 1 4 3 2
87.0 5 9 1 6 7 1
85.5 3 3 2 1 3
84.0 11 3 1 5 9
82.5 4 5 1 3 6 2
81.0 4 6 1 5 5 2
79.5 2 5 1 2 5
78.0 13 5 2 9 8 1
76.5 5 6 7 4 2
75.0 9 5 3 1 4 7
73.5 4 5 4 7 3
72.0 13 9 7 16 2
70.5 6 10 1 10 7 3
69.0 11 11 1 2 8 11 5
67.5 11 3 1 7 8 1
66.0 13 11 1 1 18 5 2
64.5 5 8 1 4 7 7
63.0 5 7 1 6 9 4
61.5 10 7 8 10 1
60.0 10 13 1 9 12 5
58.5 3 12 1 5 9 2
57.0 4 9 7 8
55.5 5 7 6 6 1
54.0 5 11 1 6 10 2
52.5 8 14 1 3 12 8 3
51.0 2 5 2 5 3
49.5 1 5 3 3
48.0 2 5 2 6 1
46.5 6 4 2 1
45.0 2 5 4 2 5
43.5 2 5 3 4
42.0 2 2 2 3
40.5 3 2 3 2 1
39.0 1 4 4 1 1
37.5 1 1 1 1
36.0 1 4 2 3 1
33.0 1 4 4 2
31.5 2 1 2 1
30.0 1 2 1 2
28.5 1 1
27.0 1 1 2
24.0 3 1 2 1
21.0 1
12.0 1
American Mathematics Competitions
2009 AMC 10 A Results for Colorado
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 0.32 0.16 0.63 7.28 91.61* 0.00 0.00
2 92.56* 2.85 1.11 0.63 1.42 1.42 0.00
3 1.27 8.07 76.42* 5.22 2.69 6.33 0.00
4 30.22* 10.28 5.38 8.39 15.82 29.91 0.00
5 12.66 4.59 7.28 2.22 51.58* 21.68 0.00
6 70.89* 3.32 7.12 2.85 1.42 14.40 0.00
7 6.17 5.22 35.44* 2.69 27.85 22.47 0.16
8 8.07 83.54* 2.06 1.42 1.27 3.64 0.00
9 11.08 25.63* 8.39 5.85 0.95 47.94 0.16
10 3.32 26.58* 8.70 12.03 2.06 47.31 0.00
11 2.69 2.37 3.80 67.25* 2.37 21.52 0.00
12 3.64 7.91 27.37* 7.75 5.38 47.94 0.00
13 22.94 6.49 2.85 11.08 17.09* 39.56 0.00
14 50.00* 2.06 5.38 2.69 10.76 29.11 0.00
15 3.01 4.27 5.38 6.96 50.95* 29.43 0.00
16 26.58 5.54 5.06 12.66* 4.75 45.25 0.16
17 5.22 12.34 10.28* 2.22 5.06 64.87 0.00
18 15.19 13.29 7.12 19.30* 9.34 35.76 0.00
19 7.59 14.40* 10.44 7.12 4.75 55.70 0.00
20 9.02 8.23 8.70 41.30* 1.42 31.33 0.00
21 5.70 2.69 12.50* 4.27 2.85 71.99 0.00
22 6.49 7.44 34.49 8.23* 2.37 40.98 0.00
23 3.16 3.96 6.65 4.59 10.13* 71.52 0.00
24 8.86 14.87 8.54* 4.75 10.28 52.69 0.00
25 9.18 5.38* 8.07 4.27 4.91 68.20 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 Colorado
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
114.0 1 1
111.0 1 1 2
109.5 2 1 1
108.0 1 1 2
106.5 1 1
103.5 2 2 1
102.0 1 1 1 3
100.5 5 1 1 2 3 1
99.0 2 1 2 1
97.5 4 4
96.0 1 1
94.5 3 2 1 1 5
93.0 5 1 1 5 1 1
91.5 2 1 1 2 2
90.0 10 3 2 3 9
88.5 9 4 1 4 10 1
87.0 6 4 1 1 7 3
85.5 8 3 3 8 1
84.0 5 3 7 1
82.5 14 3 4 9 7
81.0 11 4 1 10 5
79.5 7 2 1 2 6
78.0 13 3 7 9 1
76.5 15 6 1 3 13 9
75.0 16 4 1 1 4 10 6
73.5 17 12 2 1 3 16 8
72.0 21 8 1 1 16 10 2
70.5 13 12 1 4 16 7 3
69.0 14 14 1 18 10
67.5 26 8 1 2 21 11 1
66.0 17 15 1 3 20 10 1
64.5 13 14 3 17 10 1
63.0 19 10 2 11 19 1
61.5 21 5 1 1 17 9
60.0 12 9 1 9 13 1
58.5 9 10 1 1 14 9 1
57.0 12 16 2 2 20 7 1
55.5 12 13 1 3 10 13
54.0 14 9 2 12 10
52.5 10 8 1 11 7 2
51.0 5 8 1 9 3
49.5 4 7 1 6 4
48.0 12 6 1 13 6 1
46.5 5 4 1 3 5
45.0 2 4 3 3
43.5 1 7 6 2
42.0 11 8 1 6 12 2
40.5 1 3 2 2
39.0 1 5 5 3
37.5 1 3 2 2
36.0 3 7 5 5 1
34.5 1 1
33.0 3 1 3 1 1
31.5 1 1 1 2
30.0 4 1 3 2 1
28.5 2 2
27.0 1 1 1 1
25.5 1 1 1
24.0 2 1 1 2 1
21.0 1
18.0 1 1
13.5 1 1
12.0 1 1 1
American Mathematics Competitions
2009 AMC 12 A Results for Colorado
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 85.47* 8.32 1.37 1.12 1.37 2.36 0.00
2 0.75 4.22 89.32* 3.60 1.24 0.87 0.00
3 5.22 80.50* 3.23 6.09 1.99 2.98 0.00
4 94.04* 1.24 0.99 0.62 0.99 2.11 0.00
5 1.37 1.99 3.85 80.99* 1.61 10.19 0.00
6 23.35 5.84 3.11 13.42 33.66* 20.62 0.00
7 3.48 24.72* 7.08 3.23 2.36 59.13 0.00
8 60.50* 1.61 6.09 5.71 7.95 18.01 0.12
9 2.98 4.35 5.59 40.00* 6.46 40.62 0.00
10 3.85 7.58 38.76* 9.94 6.21 33.66 0.00
11 2.36 3.98 5.34 5.59 65.71* 17.02 0.00
12 11.30 26.46* 6.96 9.44 3.60 42.24 0.00
13 10.93 12.92 14.41 17.52* 6.34 37.76 0.12
14 4.47 5.96* 11.93 13.29 5.22 59.01 0.12
15 9.44 8.57 10.31 26.09* 6.58 38.88 0.12
16 16.27 7.20 10.68 4.84* 5.96 54.91 0.12
17 6.09 5.09 9.94* 7.95 12.17 58.63 0.12
18 14.41 6.34* 7.70 3.98 4.22 63.35 0.00
19 10.43 10.68 8.70* 9.44 8.82 51.80 0.12
20 5.22 3.11 9.32 3.85 9.69* 68.82 0.00
21 7.08 4.84 6.96* 4.10 5.59 71.30 0.12
22 3.11 5.84 5.59 6.71 2.86* 75.65 0.25
23 2.48 4.84 5.09 3.73* 1.61 82.11 0.12
24 9.44 7.08 4.72 3.11 1.86* 73.54 0.25
25 3.23* 7.58 6.96 6.46 5.96 69.69 0.12
(*) 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 Colorado
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
138.0 1 1
132.0 1 1
129.0 1 1
124.5 1 1
123.0 1 1
120.0 1 1
117.0 3 1 2
111.0 1 1
109.5 1 1
108.0 2 2
103.5 1 1
102.0 1
100.5 1 1
97.5 1 1
96.0 3 1 3 1
94.5 1 1
93.0 1 1
91.5 1 1
90.0 1 1
88.5 1 1
87.0 1 1
85.5 2 3 1 3 2
84.0 2 1 2 1
82.5 1 1 1
79.5 1 1 1 1
78.0 2 1 2
76.5 4 1 1 4
75.0 3 1 1 1
72.0 2 1 1 2
70.5 2 1 1 2
69.0 2
67.5 4 3 4 4
66.0 2 1 3 1
63.0 3 1 2 1
61.5 3 3 4 2 1
60.0 3 2 3 2
58.5 1 1
57.0 2 2 3 3 1
55.5 2 2
54.0 3 2 3 2
52.5 4 2 5 2
51.0 1 1
49.5 1 1
48.0 3 1 2 2
46.5 2 2 3 2 1
45.0 1 1 1 1
43.5 2 1 1
42.0 3 1 4 1
40.5 1 1 1
39.0 1 1
37.5 1 1
36.0 1 2 3 1
31.5 1 1
25.5 1 1 1 1
American Mathematics Competitions
2009 AMC 10 B Results for Colorado
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 0.00 73.05* 7.09 14.89 3.55 1.42 0.00
2 1.42 4.96 85.82* 0.71 0.71 6.38 0.00
3 2.13 7.09 75.18* 8.51 1.42 5.67 0.00
4 1.42 2.84 73.76* 9.93 4.26 7.80 0.00
5 12.06 4.26 22.70 48.94* 1.42 9.93 0.71
6 0.71 1.42 4.96 72.34* 3.55 17.02 0.00
7 13.48 22.70 43.26* 6.38 7.80 6.38 0.00
8 2.13 37.59* 6.38 36.88 0.71 16.31 0.00
9 36.17* 2.13 2.13 7.80 4.26 47.52 0.00
10 13.48 0.00 7.80 3.55 36.88* 38.30 0.00
11 66.67* 9.22 2.13 4.96 0.71 16.31 0.00
12 26.95* 13.48 4.96 14.89 12.06 27.66 0.00
13 3.55 11.35 46.10* 5.67 9.22 24.11 0.00
14 8.51 25.53 24.82 10.64* 7.80 22.70 0.00
15 11.35 6.38 4.26 4.26 55.32* 18.44 0.00
16 2.13 12.77* 3.55 4.26 4.26 73.05 0.00
17 20.57 13.48 19.86* 0.71 1.42 43.97 0.00
18 5.67 4.26 7.80 11.35* 4.96 65.96 0.00
19 21.99* 20.57 8.51 12.06 4.26 32.62 0.00
20 7.09 13.48* 7.80 3.55 4.26 63.83 0.00
21 4.96 16.31 4.26 11.35* 4.26 58.87 0.00
22 0.71 5.67* 4.96 4.96 2.13 81.56 0.00
23 4.26 8.51 10.64* 4.26 3.55 68.79 0.00
24 19.86* 2.13 4.96 2.13 7.80 63.12 0.00
25 20.57 17.02* 10.64 2.13 3.55 46.10 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 Colorado
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
118.5 1 1
115.5 2 1 1
114.0 1
112.5 2 2
111.0 1 1
109.5 2 1 1
108.0 2 2
106.5 1 1
103.5 3 1 2 1 1
100.5 2 1 1
99.0 2 1 1
97.5 2 1 1
96.0 2 1 3 2
94.5 1 2 1 3
93.0 2 2 1
91.5 6 1 1 3 3
90.0 1 1
88.5 1 1
87.0 3 2 2
85.5 2 2
84.0 7 1 5 3
82.5 3 2 3
81.0 2 2 1 2 2
79.5 5 4 1
78.0 5 3 1 6 2
76.5 2 2 3 2
75.0 3 2 1 2 3
73.5 5 3 3 1
72.0 9 4 5
70.5 8 1 1 5 3
69.0 8 2 5 6
67.5 7 5 1 6 5
66.0 2 2 2 2
64.5 4 2 4 4
63.0 1 2 3 1
61.5 5 1 3 3
60.0 5 1 2 5
58.5 2 1 3 1
57.0 2 2 1 3 1
55.5 1 3 2 2
54.0 3 3 3 4
52.5 2 3 4 2
51.0 3 2 1 4
49.5 1 2 3 1
48.0 4 2 5 1
46.5 2 2 4
45.0 1 3 1 4 1
43.5 1 1 2
42.0 2 2
40.5 1 1
39.0 2 1 1 1
37.5 2 1 3
34.5 1 1 1 1
33.0 1 1
31.5 1 1
28.5 1 1
27.0 1
19.5 1 1
12.0 1 1
American Mathematics Competitions
2009 AMC 12 B Results for Colorado
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 0.84 76.57* 6.28 13.81 2.51 0.00 0.00
2 0.84 2.93 83.68* 9.62 0.42 2.09 0.42
3 2.51 3.35 21.76 66.95* 0.84 4.60 0.00
4 2.09 2.51 82.01* 9.21 2.09 2.09 0.00
5 0.00 2.09 6.69 76.15* 2.93 12.13 0.00
6 9.62 10.04 67.36* 5.02 7.53 0.42 0.00
7 2.93 54.81* 7.11 22.18 4.18 8.37 0.42
8 5.44 5.44 5.02 5.02 70.29* 8.79 0.00
9 61.51* 5.86 0.84 4.60 2.09 25.10 0.00
10 35.98* 22.59 10.46 12.55 4.18 13.81 0.42
11 1.67 28.45 20.08 26.78* 7.11 15.90 0.00
12 5.02 2.93 9.62 2.51 30.96* 48.95 0.00
13 4.60 3.77 5.44 20.08* 7.95 58.16 0.00
14 16.32 16.74 33.47* 3.35 0.84 29.29 0.00
15 0.00 59.41* 8.37 5.44 5.86 20.50 0.42
16 4.18 4.18* 4.18 4.60 2.93 79.92 0.00
17 20.92 30.96* 10.88 4.18 2.93 30.13 0.00
18 5.86 10.04 15.48* 5.02 7.53 56.07 0.00
19 2.93 2.09 5.02 3.77 3.77* 82.01 0.42
20 5.44 5.02 5.02* 2.09 4.60 76.99 0.84
21 3.35* 5.02 6.69 15.06 25.52 44.35 0.00
22 3.77 3.77 3.77* 5.44 2.09 81.17 0.00
23 5.86 2.09 5.02 5.44* 2.51 79.08 0.00
24 8.79 11.72* 2.93 3.35 1.26 71.97 0.00
25 12.55 4.60 4.60 3.77 6.69* 67.78 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column