American Mathematics Competitions
2009 AMC 10 A Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 233
Number of unofficial participants: 0
Average score of participants: 70.7
Average score for female students is: 68.4 ( 90 Students)
Average score for male students is: 80.2 ( 83 Students)
Average score for unspecified gender is 61.1 ( 60 Students)
Average score for grade 10 is: 80.9 ( 85 Students)
Average score for grade 9 is: 70.4 ( 109 Students)
Average score with unknown grade: 49.3 ( 39 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 3
Number of schools returning results 8
Average school winning score 100.31
American Mathematics Competitions
2009 AMC 12 A Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 237
Number of unofficial participants: 0
Average score of participants: 73.6
Average score for female students is: 74.3 ( 52 Students)
Average score for male students is: 76.7 ( 126 Students)
Average score for unspecified gender is 66.4 ( 59 Students)
Average score for grade 12 is: 76.0 ( 92 Students)
Average score for grade 11 is: 76.1 ( 101 Students)
Average score for grade 10 is: 72.4 ( 15 Students)
Average score for grade 9 is: 133.5 ( 1 Student)
Average score with unknown grade: 55.5 ( 28 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 15
Number of schools returning results 8
Average school winning score 103.88
Average school team score 289.69
American Mathematics Competitions
2009 AMC 10 B Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 56
Number of unofficial participants: 0
Average score of participants: 70.2
Average score for female students is: 63.3 ( 22 Students)
Average score for male students is: 77.3 ( 27 Students)
Average score for unspecified gender is 64.1 ( 7 Students)
Average score for grade 10 is: 70.5 ( 25 Students)
Average score for grade 9 is: 68.0 ( 28 Students)
Average score for grade 8 and below is: 87.5 ( 3 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 2
Average school winning score 84.75
American Mathematics Competitions
2009 AMC 12 B Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 51
Number of unofficial participants: 0
Average score of participants: 70.0
Average score for female students is: 61.0 ( 20 Students)
Average score for male students is: 76.6 ( 23 Students)
Average score for unspecified gender is 73.7 ( 8 Students)
Average score for grade 12 is: 63.8 ( 32 Students)
Average score for grade 11 is: 77.4 ( 14 Students)
Average score for grade 10 is: 88.1 ( 4 Students)
Average score for grade 9 is: 94.5 ( 1 Student)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 1
Number of schools returning results 3
Average school winning score 99.50
Average school team score 262.00
2009 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
367.5 1 1
345.0 1 2
304.5 1 3
291.0 1 4
289.5 1 5
282.0 1 6
264.0 1 7
259.5 1 8
253.5 1 9
234.0 1 10
213.0 1 11
2009 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
133.5 1
129.0 1 1
121.5 1 1
120.0 1
117.0 1
115.5 1
114.0 1
112.5 1
111.0 2
109.5 1 5 1
108.0 1
106.5 1 1
105.0 3 1
103.5 1 1 4
102.0 3 1
100.5 4
99.0 1 1 4
97.5 1 1 6 1
96.0 5 1 1 1
94.5 5 1 3 3
93.0 3 1 1
91.5 7 7
90.0 2 1 5
88.5 7 2 1 2
87.0 3 2 4
85.5 5 4 1
84.0 4 3
82.5 12 3 5 2
81.0 5 2 10 1
79.5 9 2 4 1
78.0 11 2 5
76.5 9 3 9 3
75.0 7 3 6 3
73.5 7 7
72.0 8 2 6 1
70.5 13 2 7 3
69.0 14 2 6 1
67.5 16 1 10 3
66.0 11 2 6 2
64.5 3 2 3 2
63.0 4 1 9 2
61.5 8 4 2
60.0 6 2 7 1
58.5 5 4
57.0 4 2 6 1
55.5 4 4
54.0 3 4 5 1
52.5 4 2 1
51.0 2 4
49.5 1 5
48.0 2 2 5 2
46.5 2 4
45.0 7
43.5 4
42.0 2 2 3
40.5 1 1 2
39.0 1 4 1
37.5 2 1 2
36.0 3 3
34.5 1 3
33.0 2
31.5 1
30.0 2 1
25.5 1
24.0 1 2
16.5 1
12.0 1
American Mathematics Competitions
2009 AMC 10 A Results for District of Columbia
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
129.0 1 1
121.5 1 1
120.0 1 1
115.5 1 1
112.5 1
111.0 2
109.5 2 3 2 3
105.0 2 2 1
103.5 3 1 3 1
102.0 2 1 1 2
99.0 2 2 1 3
97.5 3 3 3 3
96.0 1 1
94.5 1 2 1 2
93.0 1 1
91.5 4 2 3 4
90.0 4 3 2
88.5 1 1
87.0 1 1 2
85.5 3 1 2 2
84.0 1 1 2 1
82.5 2 3 2 3
81.0 4 3 3 6 1
79.5 3 3 1
78.0 1 1 2 2 1
76.5 7 4 5
75.0 2 2 3 2 1
73.5 1 4 3 4
72.0 4 1 3 3
70.5 5 2 3 4
69.0 1 5 3 3
67.5 2 7 6 4
66.0 2 3 4 2
64.5 2 3
63.0 5 4 6 3
61.5 2 1 2 2
60.0 3 2 2 3
58.5 2 1 1 2
57.0 1 4 3 2 1
55.5 2 2 2
54.0 1 3 3 1 1
52.5 2
51.0 1 2 2 1 1
49.5 2 2 3
48.0 2 1 2 3
46.5 2 2 2
45.0 1 3 2 2 3
43.5 3 3 1
42.0 1 2 2 1
40.5 1
39.0 1 1 3
37.5 1 1 1
36.0 2 2 1
34.5 3
33.0 2 2
24.0 1
12.0 1
American Mathematics Competitions
2009 AMC 10 A Results for District of Columbia
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 0.00 0.43 9.01 89.27* 1.29 0.00
2 88.41* 1.29 1.29 2.15 3.43 3.43 0.00
3 4.29 3.86 79.40* 3.86 3.43 5.15 0.00
4 37.77* 6.44 5.58 6.01 15.45 28.76 0.00
5 8.58 6.01 7.73 3.00 51.07* 23.61 0.00
6 72.96* 4.29 4.29 3.86 0.43 14.16 0.00
7 6.44 5.58 36.48* 4.72 25.75 21.03 0.00
8 7.73 81.55* 1.29 2.58 1.29 5.58 0.00
9 6.44 21.46* 7.73 5.15 0.00 59.23 0.00
10 0.86 24.46* 6.44 11.59 3.00 53.65 0.00
11 1.72 1.72 3.86 68.24* 2.58 21.89 0.00
12 3.00 5.15 33.05* 7.30 9.01 42.49 0.00
13 18.03 5.58 2.58 13.73 24.03* 36.05 0.00
14 45.06* 1.29 5.15 3.00 11.16 34.33 0.00
15 2.15 3.00 3.86 7.30 46.78* 36.91 0.00
16 17.17 5.58 2.58 12.45* 6.44 55.79 0.00
17 3.86 12.88 4.72* 3.00 2.58 72.96 0.00
18 14.16 9.44 7.73 21.03* 8.15 39.48 0.00
19 4.29 12.45* 9.01 6.87 2.15 65.24 0.00
20 6.44 7.30 8.15 38.20* 0.86 38.63 0.43
21 2.58 1.72 9.87* 3.00 1.72 81.12 0.00
22 5.58 2.58 30.90 9.44* 3.43 48.07 0.00
23 2.15 1.29 1.29 2.58 6.44* 86.27 0.00
24 7.73 8.58 6.44* 3.86 9.87 63.52 0.00
25 6.87 2.58* 3.86 1.72 4.29 80.69 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 District of Columbia
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
133.5 1 1
129.0 1 1
121.5 1 1
117.0 1 1
114.0 1 1
109.5 1 1
108.0 1 1
106.5 1 1
103.5 1 1
100.5 3 1 1 3
99.0 1 1
97.5 1 1
96.0 4 3 2
94.5 3 5
93.0 1 1 1 1
91.5 2 4 2 5
90.0 1 2
88.5 5 1 1 4 2
87.0 2 3
85.5 2 2 3 2
84.0 1 2 2 2
82.5 7 4 8 3 1
81.0 4 4 1
79.5 5 3 6 3
78.0 7 1 3 5 2 1
76.5 2 3 1 1 6 1
75.0 5 1 3 4
73.5 6 1 2 2 2
72.0 4 3 1 4 3
70.5 8 2 1 7 4 1
69.0 7 4 1 7 4 2
67.5 9 3 5 10 1
66.0 5 1 1 4 5 1
64.5 1 1 2 1
63.0 3 1 1 2 1
61.5 3 3 4 2 2
60.0 2 3 2 3 1
58.5 3 2 1 3 1
57.0 3 1 1 2 1
55.5 2 2 2 2
54.0 2 1 1 1
52.5 1 2 2 2
51.0 2 2
49.5 1 1
48.0 2
46.5 1 1
42.0 1 1 1
40.5 1
39.0 1
37.5 2
36.0 3
34.5 1
16.5 1
American Mathematics Competitions
2009 AMC 12 A Results for District of Columbia
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 88.61* 8.02 0.84 0.00 2.11 0.42 0.00
2 0.42 3.38 93.67* 1.27 0.42 0.84 0.00
3 2.53 88.19* 2.11 4.22 2.11 0.84 0.00
4 97.89* 0.42 0.84 0.42 0.00 0.42 0.00
5 1.69 1.27 0.42 90.72* 1.27 4.64 0.00
6 15.61 3.38 2.11 9.28 51.48* 18.14 0.00
7 2.95 40.93* 6.75 2.11 2.53 44.73 0.00
8 67.93* 1.27 2.95 3.38 8.44 16.03 0.00
9 2.53 3.38 3.80 43.88* 2.95 43.46 0.00
10 3.38 5.49 42.19* 7.59 5.49 35.86 0.00
11 1.27 2.11 1.69 3.38 78.90* 12.66 0.00
12 10.97 33.33* 4.22 3.80 2.53 45.15 0.00
13 6.75 8.86 14.35 26.16* 5.06 38.82 0.00
14 3.38 8.02* 6.33 10.13 5.91 66.24 0.00
15 7.59 4.64 8.86 28.69* 6.75 43.46 0.00
16 9.28 5.49 6.75 7.17* 3.38 67.93 0.00
17 4.64 5.49 10.97* 2.11 5.91 70.46 0.42
18 10.13 7.17* 3.80 2.11 2.53 74.26 0.00
19 5.91 7.59 6.75* 6.33 8.02 65.40 0.00
20 2.11 1.69 5.91 0.84 11.39* 78.06 0.00
21 4.22 2.95 4.64* 2.11 2.53 83.54 0.00
22 1.69 2.95 1.27 3.80 1.27* 89.03 0.00
23 0.84 2.53 4.22 2.11* 0.42 89.87 0.00
24 4.64 6.33 1.69 2.11 1.69* 83.54 0.00
25 3.80* 4.64 2.11 3.38 2.11 83.97 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 10 B Results for District of Columbia
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
109.5 1 1
106.5 1 1
105.0 1 1
102.0 1 1
97.5 1 1
96.0 1 1
94.5 2 1 1 2
88.5 2 1 1
87.0 4 1 3
85.5 1 1
82.5 1 1 2
81.0 1 1
79.5 1 1
76.5 2 1 3
75.0 2 2 1
72.0 1 1
70.5 1 1 2 1
69.0 1 1
67.5 1 2 1
66.0 1 1 1
64.5 2 1 1
63.0 1 1 2
61.5 1 2
60.0 1 1
57.0 1 1
54.0 1 1
52.5 1 1
48.0 2 2
40.5 1 2
39.0 1 1
31.5 1 1
30.0 1 1
25.5 1 1
24.0 1 1 2
American Mathematics Competitions
2009 AMC 10 B Results for District of Columbia
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 1.79 71.43* 5.36 17.86 1.79 1.79 0.00
2 0.00 5.36 94.64* 0.00 0.00 0.00 0.00
3 1.79 10.71 78.57* 5.36 0.00 3.57 0.00
4 0.00 3.57 83.93* 5.36 3.57 3.57 0.00
5 7.14 7.14 21.43 57.14* 3.57 3.57 0.00
6 0.00 5.36 7.14 80.36* 1.79 5.36 0.00
7 16.07 7.14 46.43* 17.86 8.93 3.57 0.00
8 5.36 35.71* 10.71 37.50 7.14 3.57 0.00
9 53.57* 5.36 3.57 10.71 5.36 21.43 0.00
10 8.93 0.00 3.57 8.93 55.36* 23.21 0.00
11 62.50* 5.36 7.14 8.93 1.79 14.29 0.00
12 23.21* 17.86 8.93 14.29 16.07 19.64 0.00
13 10.71 14.29 41.07* 5.36 7.14 21.43 0.00
14 7.14 26.79 19.64 21.43* 8.93 16.07 0.00
15 7.14 8.93 5.36 8.93 48.21* 21.43 0.00
16 5.36 5.36* 12.50 0.00 5.36 71.43 0.00
17 8.93 19.64 12.50* 7.14 0.00 51.79 0.00
18 10.71 8.93 16.07 7.14* 1.79 55.36 0.00
19 25.00* 16.07 8.93 12.50 5.36 32.14 0.00
20 7.14 17.86* 5.36 3.57 1.79 64.29 0.00
21 3.57 12.50 3.57 10.71* 8.93 60.71 0.00
22 3.57 3.57* 10.71 12.50 0.00 69.64 0.00
23 3.57 1.79 19.64* 5.36 7.14 62.50 0.00
24 12.50* 5.36 5.36 1.79 8.93 66.07 0.00
25 12.50 14.29* 10.71 3.57 5.36 53.57 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 District of Columbia
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
103.5 1 1
99.0 1 1
97.5 1 1
96.0 1 1
94.5 1 1
93.0 1
90.0 1 1
88.5 2 2
82.5 2 2 1
81.0 2 2
79.5 1 1 1
78.0 1 2
76.5 2 1 1 2
75.0 1 2 1
72.0 1 1 1 1
70.5 2 2
69.0 1 1 1 1
67.5 1 1
66.0 1 1 1 1
64.5 1 1 1
63.0 1 1
60.0 2 2
57.0 2 2
54.0 4 1 3
48.0 1 1 2
42.0 1 2
37.5 1 1
30.0 2 2
American Mathematics Competitions
2009 AMC 12 B Results for District of Columbia
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 84.31* 5.88 5.88 1.96 0.00 1.96
2 0.00 0.00 70.59* 29.41 0.00 0.00 0.00
3 0.00 0.00 9.80 86.27* 3.92 0.00 0.00
4 0.00 0.00 90.20* 7.84 0.00 1.96 0.00
5 0.00 3.92 1.96 84.31* 3.92 5.88 0.00
6 9.80 23.53 54.90* 9.80 1.96 0.00 0.00
7 3.92 50.98* 15.69 21.57 1.96 5.88 0.00
8 1.96 7.84 1.96 1.96 78.43* 7.84 0.00
9 45.10* 5.88 3.92 15.69 3.92 25.49 0.00
10 37.25* 27.45 9.80 9.80 0.00 15.69 0.00
11 3.92 23.53 19.61 21.57* 15.69 15.69 0.00
12 9.80 0.00 7.84 5.88 31.37* 45.10 0.00
13 1.96 3.92 7.84 31.37* 9.80 45.10 0.00
14 13.73 9.80 45.10* 1.96 0.00 29.41 0.00
15 1.96 56.86* 13.73 5.88 5.88 15.69 0.00
16 0.00 11.76* 5.88 3.92 3.92 74.51 0.00
17 11.76 15.69* 11.76 9.80 3.92 47.06 0.00
18 3.92 11.76 7.84* 5.88 5.88 64.71 0.00
19 3.92 1.96 5.88 1.96 3.92* 82.35 0.00
20 0.00 7.84 1.96* 1.96 3.92 84.31 0.00
21 3.92* 7.84 5.88 5.88 17.65 58.82 0.00
22 1.96 3.92 1.96* 9.80 0.00 82.35 0.00
23 0.00 1.96 11.76 3.92* 0.00 82.35 0.00
24 5.88 7.84* 3.92 7.84 1.96 72.55 0.00
25 7.84 3.92 9.80 5.88 7.84* 64.71 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column