American Mathematics Competitions
2003 AMC 10 A Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 106
Number of unofficial participants: 0
Average score of participants: 90.5
Average score for female students is: 87.9 ( 27 Students)
Average score for male students is: 91.5 ( 72 Students)
Average score for unspecified gender is 90.6 ( 7 Students)
Average score for grade 10 is: 91.3 ( 48 Students)
Average score for grade 9 is: 90.4 ( 57 Students)
Average score with unknown grade: 60.0 ( 1 Student)
AIME qualifying score = 119.0 or better
Number of AIME qualifers 3
Number of schools returning results 3
Average school winning score 111.00
American Mathematics Competitions
2003 AMC 12 A Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 157
Number of unofficial participants: 0
Average score of participants: 90.9
Average score for female students is: 94.0 ( 30 Students)
Average score for male students is: 90.3 ( 125 Students)
Average score for unspecified gender is 78.3 ( 2 Students)
Average score for grade 12 is: 95.0 ( 67 Students)
Average score for grade 11 is: 92.1 ( 61 Students)
Average score for grade 10 is: 79.3 ( 22 Students)
Average score for grade 9 is: 77.5 ( 7 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 50
Number of schools returning results 4
Average school winning score 120.13
Average school team score 344.00
American Mathematics Competitions
2003 AMC 10 B Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 322
Number of unofficial participants: 0
Average score of participants: 74.2
Average score for female students is: 74.3 ( 171 Students)
Average score for male students is: 75.4 ( 130 Students)
Average score for unspecified gender is 66.0 ( 21 Students)
Average score for grade 10 is: 78.3 ( 109 Students)
Average score for grade 9 is: 72.3 ( 196 Students)
Average score for grade 8 and below is: 103.3 ( 3 Students)
Average score with unknown grade: 62.9 ( 14 Students)
AIME qualifying score = 121.0 or better
Number of AIME qualifers 4
Number of schools returning results 6
Average school winning score 116.25
American Mathematics Competitions
2003 AMC 12 B Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 191
Number of unofficial participants: 0
Average score of participants: 76.3
Average score for female students is: 74.8 ( 91 Students)
Average score for male students is: 78.9 ( 88 Students)
Average score for unspecified gender is 67.9 ( 12 Students)
Average score for grade 13 is: 73.0 ( 1 Student)
Average score for grade 12 is: 79.5 ( 71 Students)
Average score for grade 11 is: 74.1 ( 101 Students)
Average score for grade 10 is: 80.4 ( 11 Students)
Average score for grade 8 and below is: 18.0 ( 1 Student)
Average score with unknown grade: 77.4 ( 6 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 23
Number of schools returning results 5
Average school winning score 115.40
Average school team score 322.10
2003 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 0 0 0 0
149.5 0 0 0 0
149.0 0 0 0 0
148.5 0 0 0 0
148.0 0 0 0 0
147.5 0 0 0 0
147.0 0 0 0 0
146.5 0 0 0 1
146.0 0 0 0 0
145.5 0 0 0 0
145.0 0 0 0 0
144.5 0 0 0 0
144.0 0 0 0 0
143.5 0 0 0 0
143.0 0 0 0 0
142.5 0 0 0 0
142.0 0 0 0 0
141.5 0 0 0 0
141.0 0 0 0 0
140.5 0 0 0 0
140.0 0 0 0 0
139.5 0 0 0 0
139.0 0 0 0 0
138.5 0 0 0 0
138.0 0 0 0 0
137.5 0 0 0 0
137.0 0 0 0 0
136.5 0 0 0 0
136.0 0 0 0 0
135.5 0 0 0 0
135.0 0 0 0 0
134.5 0 0 0 0
134.0 0 0 0 0
133.5 0 0 0 1
133.0 0 0 0 0
132.5 1 0 0 0
132.0 0 0 0 0
131.5 0 0 0 0
131.0 0 1 0 0
130.5 0 0 0 0
130.0 0 0 0 0
129.5 0 0 0 0
129.0 0 0 0 0
128.5 0 0 0 0
128.0 0 0 0 0
127.5 0 0 0 0
127.0 0 0 0 0
126.5 2 0 0 0
126.0 0 0 0 0
125.5 0 0 0 0
125.0 0 0 0 0
124.5 0 0 0 0
124.0 1 0 0 0
123.5 0 0 0 0
123.0 0 0 0 2
122.5 0 0 0 0
122.0 0 0 0 0
121.5 0 0 1 0
121.0 0 0 0 0
120.5 0 0 0 1
120.0 0 0 0 0
119.5 1 0 1 1
119.0 1 0 1 0
118.5 1 0 1 0
118.0 0 0 0 0
117.5 0 0 0 0
117.0 0 2 1 0
116.5 0 0 0 0
116.0 2 2 1 0
115.5 0 0 0 0
115.0 0 0 0 1
114.5 2 0 2 2
114.0 1 0 0 0
113.5 5 1 0 0
113.0 0 0 0 0
112.5 1 1 0 0
112.0 0 0 0 2
111.5 0 1 0 0
111.0 1 0 0 1
110.5 0 0 0 0
110.0 2 2 4 4
109.5 1 0 0 0
109.0 2 2 1 1
108.5 2 0 0 0
108.0 1 0 0 0
107.5 0 0 3 0
107.0 0 0 0 0
106.5 4 4 0 2
106.0 0 0 0 1
105.5 4 0 0 2
105.0 0 0 2 1
104.5 2 1 0 1
104.0 1 0 3 1
103.5 0 0 0 0
103.0 2 1 0 2
102.5 1 0 0 3
102.0 1 2 0 1
101.5 2 0 4 1
101.0 0 1 1 1
100.5 6 2 2 1
100.0 0 0 0 0
99.5 4 6 1 3
99.0 0 0 3 1
98.5 2 1 0 3
98.0 2 2 4 4
97.5 0 0 0 0
97.0 2 0 4 0
96.5 0 0 0 1
96.0 2 5 1 2
95.5 3 0 2 3
95.0 3 0 0 1
94.5 4 1 1 3
94.0 1 0 2 0
93.5 1 3 3 2
93.0 2 1 0 4
92.5 0 1 0 2
92.0 2 0 2 5
91.5 0 2 0 0
91.0 0 3 4 1
90.5 0 0 2 3
90.0 4 2 3 1
89.5 2 1 1 2
89.0 2 3 1 2
88.5 2 2 2 2
88.0 0 0 1 3
87.5 3 0 0 1
87.0 0 1 1 4
86.5 3 2 1 4
86.0 0 2 2 1
85.5 1 2 0 4
85.0 0 1 2 2
84.5 2 2 0 1
84.0 2 4 0 3
83.5 3 0 0 3
83.0 0 5 0 4
82.5 1 1 2 3
82.0 4 0 0 1
81.5 1 4 1 3
81.0 0 3 1 2
80.5 2 1 0 0
80.0 0 1 3 2
79.5 3 3 0 3
79.0 2 2 3 1
78.5 1 0 0 3
78.0 1 2 0 2
77.5 1 0 1 7
77.0 5 7 2 2
76.5 1 2 1 1
76.0 3 2 2 2
75.5 1 2 1 2
75.0 2 2 1 5
74.5 3 2 1 4
74.0 1 1 1 4
73.5 1 3 0 3
73.0 0 2 0 7
72.5 0 0 1 1
72.0 0 0 2 2
71.5 0 0 1 4
71.0 3 0 1 5
70.5 0 3 0 2
70.0 3 0 0 5
69.5 2 4 0 4
69.0 0 1 0 0
68.5 1 2 4 5
68.0 1 0 1 1
67.5 3 2 0 0
67.0 2 5 0 1
66.5 1 0 0 6
66.0 0 2 1 5
65.5 0 0 0 2
65.0 0 2 0 1
64.5 0 2 0 5
64.0 1 2 0 4
63.5 1 4 0 3
63.0 0 0 0 1
62.5 0 0 0 3
62.0 0 2 0 1
61.5 0 1 0 5
61.0 0 1 1 4
60.5 0 3 0 4
60.0 0 4 1 3
59.5 0 3 0 7
59.0 0 2 0 4
58.5 0 0 0 2
58.0 0 1 0 0
57.5 1 1 2 3
57.0 1 0 0 2
56.5 0 0 0 5
56.0 0 0 0 1
55.5 0 0 0 3
55.0 0 0 0 2
54.5 0 0 0 3
54.0 0 3 0 2
53.5 0 0 0 0
53.0 0 2 0 3
52.5 0 1 0 2
52.0 0 1 0 0
51.5 0 0 0 1
51.0 0 1 0 0
50.5 0 0 0 3
50.0 1 1 0 2
49.5 0 0 0 2
49.0 0 1 0 0
48.5 0 1 0 1
48.0 0 1 0 1
47.5 0 0 0 2
47.0 1 1 0 1
46.5 0 0 0 2
46.0 0 1 0 2
45.5 0 0 0 2
45.0 0 0 0 1
44.5 0 1 0 1
44.0 0 1 0 0
43.5 0 0 0 0
43.0 0 1 0 0
42.5 0 0 0 0
42.0 0 5 0 2
41.5 0 0 0 0
41.0 0 0 0 0
40.5 0 0 0 0
40.0 0 0 0 1
39.5 0 0 0 0
39.0 0 0 0 2
38.5 0 0 0 1
38.0 0 0 0 0
37.5 0 0 0 0
37.0 0 0 0 0
36.5 0 1 0 2
36.0 0 1 0 3
35.5 0 0 0 0
35.0 0 0 0 1
34.5 0 0 0 0
34.0 0 0 0 0
33.5 0 0 0 1
33.0 0 0 0 0
32.5 0 0 0 1
32.0 0 0 0 0
31.5 0 0 0 0
31.0 0 0 0 0
30.5 0 0 0 0
30.0 0 2 0 2
29.5 0 0 0 1
29.0 0 0 0 0
28.5 0 0 0 0
28.0 0 0 0 0
27.5 0 0 0 0
27.0 0 0 0 0
26.5 0 0 0 0
26.0 0 0 0 0
25.5 0 0 0 0
25.0 0 0 0 0
24.5 0 0 0 0
24.0 0 0 0 2
23.5 0 0 0 0
23.0 0 0 0 0
22.5 0 0 0 0
22.0 0 0 0 0
21.5 0 0 0 0
21.0 0 0 0 0
20.5 0 0 0 0
20.0 0 0 0 0
19.5 0 0 0 0
19.0 0 0 0 0
18.5 0 0 0 0
18.0 0 1 0 0
17.5 0 0 0 0
17.0 0 0 0 0
16.5 0 0 0 0
16.0 0 0 0 0
15.5 0 0 0 0
15.0 0 0 0 0
14.5 0 0 0 0
14.0 0 0 0 0
13.5 0 0 0 0
13.0 0 0 0 0
12.5 0 0 0 0
12.0 0 2 0 0
11.5 0 0 0 0
11.0 0 0 0 0
10.5 0 0 0 0
10.0 0 0 0 0
9.5 0 0 0 0
9.0 0 0 0 0
8.5 0 0 0 0
8.0 0 0 0 0
7.5 0 0 0 0
7.0 0 0 0 0
6.5 0 0 0 0
6.0 0 0 0 0
5.5 0 0 0 0
5.0 0 0 0 0
4.5 0 0 0 0
4.0 0 0 0 0
3.5 0 0 0 0
3.0 0 0 0 0
2.5 0 0 0 0
2.0 0 0 0 0
1.5 0 0 0 0
1.0 0 0 0 0
0.5 0 0 0 0
0 0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for District of Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 0 0 100.0 0 0
149.5 0 0 124.5 0 0 99.5 1 0
149.0 0 0 124.0 0 0 99.0 3 0
148.5 0 0 123.5 0 0 98.5 0 0
148.0 0 0 123.0 0 0 98.0 3 0
147.5 0 0 122.5 0 0 97.5 0 0
147.0 0 0 122.0 0 0 97.0 3 1
146.5 0 0 121.5 1 0 96.5 0 0
146.0 0 0 121.0 0 0 96.0 1 0
145.5 0 0 120.5 0 0 95.5 0 2
145.0 0 0 120.0 0 0 95.0 0 0
144.5 0 0 119.5 1 0 94.5 1 0
144.0 0 0 119.0 1 0 94.0 2 0
143.5 0 0 118.5 1 0 93.5 3 0
143.0 0 0 118.0 0 0 93.0 0 0
142.5 0 0 117.5 0 0 92.5 0 0
142.0 0 0 117.0 1 0 92.0 2 0
141.5 0 0 116.5 0 0 91.5 0 0
141.0 0 0 116.0 1 0 91.0 3 1
140.5 0 0 115.5 0 0 90.5 2 0
140.0 0 0 115.0 0 0 90.0 1 1
139.5 0 0 114.5 1 0 89.5 1 0
139.0 0 0 114.0 0 0 89.0 1 0
138.5 0 0 113.5 0 0 88.5 1 0
138.0 0 0 113.0 0 0 88.0 0 1
137.5 0 0 112.5 0 0 87.5 0 0
137.0 0 0 112.0 0 0 87.0 1 0
136.5 0 0 111.5 0 0 86.5 1 0
136.0 0 0 111.0 0 0 86.0 2 0
135.5 0 0 110.5 0 0 85.5 0 0
135.0 0 0 110.0 1 3 85.0 2 0
134.5 0 0 109.5 0 0 84.5 0 0
134.0 0 0 109.0 1 0 84.0 0 0
133.5 0 0 108.5 0 0 83.5 0 0
133.0 0 0 108.0 0 0 83.0 0 0
132.5 0 0 107.5 1 1 82.5 1 1
132.0 0 0 107.0 0 0 82.0 0 0
131.5 0 0 106.5 0 0 81.5 0 1
131.0 0 0 106.0 0 0 81.0 1 0
130.5 0 0 105.5 0 0 80.5 0 0
130.0 0 0 105.0 2 0 80.0 2 1
129.5 0 0 104.5 0 0 79.5 0 0
129.0 0 0 104.0 3 0 79.0 1 2
128.5 0 0 103.5 0 0 78.5 0 0
128.0 0 0 103.0 0 0 78.0 0 0
127.5 0 0 102.5 0 0 77.5 1 0
127.0 0 0 102.0 0 0 77.0 1 1
126.5 0 0 101.5 3 1 76.5 0 1
126.0 0 0 101.0 0 1 76.0 2 0
125.5 0 0 100.5 0 2 75.5 0 0
American Mathematics Competitions
2003 AMC 10 A Results for District of Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 0 50.0 0 0 25.0 0 0
74.5 1 0 49.5 0 0 24.5 0 0
74.0 1 0 49.0 0 0 24.0 0 0
73.5 0 0 48.5 0 0 23.5 0 0
73.0 0 0 48.0 0 0 23.0 0 0
72.5 0 1 47.5 0 0 22.5 0 0
72.0 1 1 47.0 0 0 22.0 0 0
71.5 0 1 46.5 0 0 21.5 0 0
71.0 1 0 46.0 0 0 21.0 0 0
70.5 0 0 45.5 0 0 20.5 0 0
70.0 0 0 45.0 0 0 20.0 0 0
69.5 0 0 44.5 0 0 19.5 0 0
69.0 0 0 44.0 0 0 19.0 0 0
68.5 2 2 43.5 0 0 18.5 0 0
68.0 1 0 43.0 0 0 18.0 0 0
67.5 0 0 42.5 0 0 17.5 0 0
67.0 0 0 42.0 0 0 17.0 0 0
66.5 0 0 41.5 0 0 16.5 0 0
66.0 0 1 41.0 0 0 16.0 0 0
65.5 0 0 40.5 0 0 15.5 0 0
65.0 0 0 40.0 0 0 15.0 0 0
64.5 0 0 39.5 0 0 14.5 0 0
64.0 0 0 39.0 0 0 14.0 0 0
63.5 0 0 38.5 0 0 13.5 0 0
63.0 0 0 38.0 0 0 13.0 0 0
62.5 0 0 37.5 0 0 12.5 0 0
62.0 0 0 37.0 0 0 12.0 0 0
61.5 0 0 36.5 0 0 11.5 0 0
61.0 1 0 36.0 0 0 11.0 0 0
60.5 0 0 35.5 0 0 10.5 0 0
60.0 0 0 35.0 0 0 10.0 0 0
59.5 0 0 34.5 0 0 9.5 0 0
59.0 0 0 34.0 0 0 9.0 0 0
58.5 0 0 33.5 0 0 8.5 0 0
58.0 0 0 33.0 0 0 8.0 0 0
57.5 2 0 32.5 0 0 7.5 0 0
57.0 0 0 32.0 0 0 7.0 0 0
56.5 0 0 31.5 0 0 6.5 0 0
56.0 0 0 31.0 0 0 6.0 0 0
55.5 0 0 30.5 0 0 5.5 0 0
55.0 0 0 30.0 0 0 5.0 0 0
54.5 0 0 29.5 0 0 4.5 0 0
54.0 0 0 29.0 0 0 4.0 0 0
53.5 0 0 28.5 0 0 3.5 0 0
53.0 0 0 28.0 0 0 3.0 0 0
52.5 0 0 27.5 0 0 2.5 0 0
52.0 0 0 27.0 0 0 2.0 0 0
51.5 0 0 26.5 0 0 1.5 0 0
51.0 0 0 26.0 0 0 1.0 0 0
50.5 0 0 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for District of Columbia
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 unknown
---------------------------
150.0 0 0 0 0 0 0 0
149.5 0 0 0 0 0 0 0
149.0 0 0 0 0 0 0 0
148.5 0 0 0 0 0 0 0
148.0 0 0 0 0 0 0 0
147.5 0 0 0 0 0 0 0
147.0 0 0 0 0 0 0 0
146.5 0 0 0 0 0 0 0
146.0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0
144.0 0 0 0 0 0 0 0
143.5 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0
140.5 0 0 0 0 0 0 0
140.0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 0 0
139.0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0
138.0 0 0 0 0 0 0 0
137.5 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 0
136.5 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 0
135.5 0 0 0 0 0 0 0
135.0 0 0 0 0 0 0 0
134.5 0 0 0 0 0 0 0
134.0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 0 0
133.0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0
132.0 0 0 0 0 0 0 0
131.5 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 0
130.5 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0
129.5 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 0 0
128.0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 0
127.0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 0
126.0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 0 0
125.0 0 0 0 0 0 0 0
124.5 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 0
123.5 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0
122.5 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0
121.5 0 0 0 0 0 1 0
121.0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 0
120.0 0 0 0 0 0 0 0
119.5 0 0 0 0 1 0 0
119.0 0 0 0 0 0 1 0
118.5 0 0 0 0 1 0 0
118.0 0 0 0 0 0 0 0
117.5 0 0 0 0 0 0 0
117.0 0 0 0 0 0 1 0
116.5 0 0 0 0 0 0 0
116.0 0 0 0 0 1 0 0
115.5 0 0 0 0 0 0 0
115.0 0 0 0 0 0 0 0
114.5 0 0 0 0 1 1 0
114.0 0 0 0 0 0 0 0
113.5 0 0 0 0 0 0 0
113.0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 0 0
112.0 0 0 0 0 0 0 0
111.5 0 0 0 0 0 0 0
111.0 0 0 0 0 0 0 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 0 3 1 0
109.5 0 0 0 0 0 0 0
109.0 0 0 0 0 1 0 0
108.5 0 0 0 0 0 0 0
108.0 0 0 0 0 0 0 0
107.5 0 0 0 0 1 2 0
107.0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 0 0
106.0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 0 0
105.0 0 0 0 0 0 2 0
104.5 0 0 0 0 0 0 0
104.0 0 0 0 0 1 2 0
103.5 0 0 0 0 0 0 0
103.0 0 0 0 0 0 0 0
102.5 0 0 0 0 0 0 0
102.0 0 0 0 0 0 0 0
101.5 0 0 0 0 1 3 0
101.0 0 0 0 0 1 0 0
100.5 0 0 0 0 1 1 0
100.0 0 0 0 0 0 0 0
99.5 0 0 0 0 1 0 0
99.0 0 0 0 0 1 2 0
98.5 0 0 0 0 0 0 0
98.0 0 0 0 0 4 0 0
97.5 0 0 0 0 0 0 0
97.0 0 0 0 0 4 0 0
96.5 0 0 0 0 0 0 0
96.0 0 0 0 0 1 0 0
95.5 0 0 0 0 0 2 0
95.0 0 0 0 0 0 0 0
94.5 0 0 0 0 0 1 0
94.0 0 0 0 0 1 1 0
93.5 0 0 0 0 2 1 0
93.0 0 0 0 0 0 0 0
92.5 0 0 0 0 0 0 0
92.0 0 0 0 0 0 2 0
91.5 0 0 0 0 0 0 0
91.0 0 0 0 0 2 2 0
90.5 0 0 0 0 0 2 0
90.0 0 0 0 0 2 1 0
89.5 0 0 0 0 0 1 0
89.0 0 0 0 0 0 1 0
88.5 0 0 0 0 1 1 0
88.0 0 0 0 0 1 0 0
87.5 0 0 0 0 0 0 0
87.0 0 0 0 0 1 0 0
86.5 0 0 0 0 1 0 0
86.0 0 0 0 0 2 0 0
85.5 0 0 0 0 0 0 0
85.0 0 0 0 0 2 0 0
84.5 0 0 0 0 0 0 0
84.0 0 0 0 0 0 0 0
83.5 0 0 0 0 0 0 0
83.0 0 0 0 0 0 0 0
82.5 0 0 0 0 1 1 0
82.0 0 0 0 0 0 0 0
81.5 0 0 0 0 1 0 0
81.0 0 0 0 0 0 1 0
80.5 0 0 0 0 0 0 0
80.0 0 0 0 0 1 2 0
79.5 0 0 0 0 0 0 0
79.0 0 0 0 0 2 1 0
78.5 0 0 0 0 0 0 0
78.0 0 0 0 0 0 0 0
77.5 0 0 0 0 1 0 0
77.0 0 0 0 0 0 2 0
76.5 0 0 0 0 0 1 0
76.0 0 0 0 0 2 0 0
75.5 0 0 0 0 1 0 0
75.0 0 0 0 0 0 1 0
74.5 0 0 0 0 0 1 0
74.0 0 0 0 0 1 0 0
73.5 0 0 0 0 0 0 0
73.0 0 0 0 0 0 0 0
72.5 0 0 0 0 1 0 0
72.0 0 0 0 0 2 0 0
71.5 0 0 0 0 0 1 0
71.0 0 0 0 0 0 1 0
70.5 0 0 0 0 0 0 0
70.0 0 0 0 0 0 0 0
69.5 0 0 0 0 0 0 0
69.0 0 0 0 0 0 0 0
68.5 0 0 0 0 2 2 0
68.0 0 0 0 0 1 0 0
67.5 0 0 0 0 0 0 0
67.0 0 0 0 0 0 0 0
66.5 0 0 0 0 0 0 0
66.0 0 0 0 0 0 1 0
65.5 0 0 0 0 0 0 0
65.0 0 0 0 0 0 0 0
64.5 0 0 0 0 0 0 0
64.0 0 0 0 0 0 0 0
63.5 0 0 0 0 0 0 0
63.0 0 0 0 0 0 0 0
62.5 0 0 0 0 0 0 0
62.0 0 0 0 0 0 0 0
61.5 0 0 0 0 0 0 0
61.0 0 0 0 0 1 0 0
60.5 0 0 0 0 0 0 0
60.0 0 0 0 0 0 0 1
59.5 0 0 0 0 0 0 0
59.0 0 0 0 0 0 0 0
58.5 0 0 0 0 0 0 0
58.0 0 0 0 0 0 0 0
57.5 0 0 0 0 1 1 0
57.0 0 0 0 0 0 0 0
56.5 0 0 0 0 0 0 0
56.0 0 0 0 0 0 0 0
55.5 0 0 0 0 0 0 0
55.0 0 0 0 0 0 0 0
54.5 0 0 0 0 0 0 0
54.0 0 0 0 0 0 0 0
53.5 0 0 0 0 0 0 0
53.0 0 0 0 0 0 0 0
52.5 0 0 0 0 0 0 0
52.0 0 0 0 0 0 0 0
51.5 0 0 0 0 0 0 0
51.0 0 0 0 0 0 0 0
50.5 0 0 0 0 0 0 0
50.0 0 0 0 0 0 0 0
49.5 0 0 0 0 0 0 0
49.0 0 0 0 0 0 0 0
48.5 0 0 0 0 0 0 0
48.0 0 0 0 0 0 0 0
47.5 0 0 0 0 0 0 0
47.0 0 0 0 0 0 0 0
46.5 0 0 0 0 0 0 0
46.0 0 0 0 0 0 0 0
45.5 0 0 0 0 0 0 0
45.0 0 0 0 0 0 0 0
44.5 0 0 0 0 0 0 0
44.0 0 0 0 0 0 0 0
43.5 0 0 0 0 0 0 0
43.0 0 0 0 0 0 0 0
42.5 0 0 0 0 0 0 0
42.0 0 0 0 0 0 0 0
41.5 0 0 0 0 0 0 0
41.0 0 0 0 0 0 0 0
40.5 0 0 0 0 0 0 0
40.0 0 0 0 0 0 0 0
39.5 0 0 0 0 0 0 0
39.0 0 0 0 0 0 0 0
38.5 0 0 0 0 0 0 0
38.0 0 0 0 0 0 0 0
37.5 0 0 0 0 0 0 0
37.0 0 0 0 0 0 0 0
36.5 0 0 0 0 0 0 0
36.0 0 0 0 0 0 0 0
35.5 0 0 0 0 0 0 0
35.0 0 0 0 0 0 0 0
34.5 0 0 0 0 0 0 0
34.0 0 0 0 0 0 0 0
33.5 0 0 0 0 0 0 0
33.0 0 0 0 0 0 0 0
32.5 0 0 0 0 0 0 0
32.0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 0 0
31.0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 0 0
30.0 0 0 0 0 0 0 0
29.5 0 0 0 0 0 0 0
29.0 0 0 0 0 0 0 0
28.5 0 0 0 0 0 0 0
28.0 0 0 0 0 0 0 0
27.5 0 0 0 0 0 0 0
27.0 0 0 0 0 0 0 0
26.5 0 0 0 0 0 0 0
26.0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 0
25.0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0
24.0 0 0 0 0 0 0 0
23.5 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 0
22.5 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 0
21.5 0 0 0 0 0 0 0
21.0 0 0 0 0 0 0 0
20.5 0 0 0 0 0 0 0
20.0 0 0 0 0 0 0 0
19.5 0 0 0 0 0 0 0
19.0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0
18.0 0 0 0 0 0 0 0
17.5 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0
16.5 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0
15.5 0 0 0 0 0 0 0
15.0 0 0 0 0 0 0 0
14.5 0 0 0 0 0 0 0
14.0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0
12.0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0
6.0 0 0 0 0 0 0 0
5.5 0 0 0 0 0 0 0
5.0 0 0 0 0 0 0 0
4.5 0 0 0 0 0 0 0
4.0 0 0 0 0 0 0 0
3.5 0 0 0 0 0 0 0
3.0 0 0 0 0 0 0 0
2.5 0 0 0 0 0 0 0
2.0 0 0 0 0 0 0 0
1.5 0 0 0 0 0 0 0
1.0 0 0 0 0 0 0 0
0.5 0 0 0 0 0 0 0
0 0 0 0 0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for District of Columbia
Analysis
Table of Item Difficulty for the 2003
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.28 0.94 0.09 6.98* 0.38 1.32 0.00
2 0.00 9.34* 0.00 0.57 0.00 0.09 0.00
3 0.09 4.15 0.00 4.43* 0.19 1.13 0.00
4 6.98* 0.09 0.28 1.89 0.00 0.75 0.00
5 0.47 8.87* 0.09 0.00 0.00 0.57 0.00
6 0.85 2.36 5.38* 0.28 0.19 0.94 0.00
7 1.70 3.02* 0.47 2.55 0.47 1.79 0.00
8 0.28 0.09 0.09 0.00 9.15* 0.38 0.00
9 3.68* 0.47 0.47 1.89 0.09 3.40 0.00
10 0.09 0.47 0.47 0.94 5.85* 2.17 0.00
11 0.00 0.00 0.00 0.09 8.30* 1.60 0.00
12 5.94* 1.51 0.28 0.47 0.94 0.85 0.00
13 8.68* 0.00 0.19 0.00 0.09 1.04 0.00
14 2.55* 1.79 0.09 1.13 1.98 2.45 0.00
15 1.04 1.70 5.28* 0.19 0.28 1.51 0.00
16 1.23 0.47 4.81* 0.00 0.57 2.92 0.00
17 0.09 1.13* 0.19 0.28 0.09 8.21 0.00
18 0.47 0.75* 0.00 0.00 0.28 8.49 0.00
19 0.28 0.09 0.38* 0.19 0.00 9.06 0.00
20 0.19 0.09 0.00 0.38 0.47* 8.87 0.00
21 0.28 0.28 1.23 2.64* 2.26 3.30 0.00
22 0.28 1.98* 0.28 0.00 0.09 7.36 0.00
23 0.28 0.19 1.32* 0.28 0.85 7.08 0.00
24 0.09 0.09 0.09 0.09 5.75* 3.87 0.00
25 0.19 0.28* 0.00 0.09 0.09 9.34 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
2003 AMC 12 A Results for District of Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 0 0 100.0 0 0
149.5 0 0 124.5 0 0 99.5 3 1
149.0 0 0 124.0 1 0 99.0 0 0
148.5 0 0 123.5 0 0 98.5 2 0
148.0 0 0 123.0 0 0 98.0 2 0
147.5 0 0 122.5 0 0 97.5 0 0
147.0 0 0 122.0 0 0 97.0 2 0
146.5 0 0 121.5 0 0 96.5 0 0
146.0 0 0 121.0 0 0 96.0 2 0
145.5 0 0 120.5 0 0 95.5 0 3
145.0 0 0 120.0 0 0 95.0 2 1
144.5 0 0 119.5 1 0 94.5 2 2
144.0 0 0 119.0 0 1 94.0 1 0
143.5 0 0 118.5 1 0 93.5 1 0
143.0 0 0 118.0 0 0 93.0 2 0
142.5 0 0 117.5 0 0 92.5 0 0
142.0 0 0 117.0 0 0 92.0 0 2
141.5 0 0 116.5 0 0 91.5 0 0
141.0 0 0 116.0 1 1 91.0 0 0
140.5 0 0 115.5 0 0 90.5 0 0
140.0 0 0 115.0 0 0 90.0 4 0
139.5 0 0 114.5 1 1 89.5 1 1
139.0 0 0 114.0 1 0 89.0 2 0
138.5 0 0 113.5 5 0 88.5 1 1
138.0 0 0 113.0 0 0 88.0 0 0
137.5 0 0 112.5 0 1 87.5 3 0
137.0 0 0 112.0 0 0 87.0 0 0
136.5 0 0 111.5 0 0 86.5 2 0
136.0 0 0 111.0 0 1 86.0 0 0
135.5 0 0 110.5 0 0 85.5 1 0
135.0 0 0 110.0 2 0 85.0 0 0
134.5 0 0 109.5 1 0 84.5 2 0
134.0 0 0 109.0 2 0 84.0 2 0
133.5 0 0 108.5 2 0 83.5 1 2
133.0 0 0 108.0 1 0 83.0 0 0
132.5 1 0 107.5 0 0 82.5 1 0
132.0 0 0 107.0 0 0 82.0 1 3
131.5 0 0 106.5 3 1 81.5 1 0
131.0 0 0 106.0 0 0 81.0 0 0
130.5 0 0 105.5 4 0 80.5 2 0
130.0 0 0 105.0 0 0 80.0 0 0
129.5 0 0 104.5 2 0 79.5 2 1
129.0 0 0 104.0 1 0 79.0 2 0
128.5 0 0 103.5 0 0 78.5 1 0
128.0 0 0 103.0 2 0 78.0 1 0
127.5 0 0 102.5 0 1 77.5 0 1
127.0 0 0 102.0 1 0 77.0 5 0
126.5 1 1 101.5 2 0 76.5 1 0
126.0 0 0 101.0 0 0 76.0 3 0
125.5 0 0 100.5 5 1 75.5 1 0
American Mathematics Competitions
2003 AMC 12 A Results for District of Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 0 50.0 1 0 25.0 0 0
74.5 3 0 49.5 0 0 24.5 0 0
74.0 0 1 49.0 0 0 24.0 0 0
73.5 1 0 48.5 0 0 23.5 0 0
73.0 0 0 48.0 0 0 23.0 0 0
72.5 0 0 47.5 0 0 22.5 0 0
72.0 0 0 47.0 1 0 22.0 0 0
71.5 0 0 46.5 0 0 21.5 0 0
71.0 3 0 46.0 0 0 21.0 0 0
70.5 0 0 45.5 0 0 20.5 0 0
70.0 2 0 45.0 0 0 20.0 0 0
69.5 2 0 44.5 0 0 19.5 0 0
69.0 0 0 44.0 0 0 19.0 0 0
68.5 1 0 43.5 0 0 18.5 0 0
68.0 1 0 43.0 0 0 18.0 0 0
67.5 2 1 42.5 0 0 17.5 0 0
67.0 1 1 42.0 0 0 17.0 0 0
66.5 1 0 41.5 0 0 16.5 0 0
66.0 0 0 41.0 0 0 16.0 0 0
65.5 0 0 40.5 0 0 15.5 0 0
65.0 0 0 40.0 0 0 15.0 0 0
64.5 0 0 39.5 0 0 14.5 0 0
64.0 1 0 39.0 0 0 14.0 0 0
63.5 1 0 38.5 0 0 13.5 0 0
63.0 0 0 38.0 0 0 13.0 0 0
62.5 0 0 37.5 0 0 12.5 0 0
62.0 0 0 37.0 0 0 12.0 0 0
61.5 0 0 36.5 0 0 11.5 0 0
61.0 0 0 36.0 0 0 11.0 0 0
60.5 0 0 35.5 0 0 10.5 0 0
60.0 0 0 35.0 0 0 10.0 0 0
59.5 0 0 34.5 0 0 9.5 0 0
59.0 0 0 34.0 0 0 9.0 0 0
58.5 0 0 33.5 0 0 8.5 0 0
58.0 0 0 33.0 0 0 8.0 0 0
57.5 1 0 32.5 0 0 7.5 0 0
57.0 1 0 32.0 0 0 7.0 0 0
56.5 0 0 31.5 0 0 6.5 0 0
56.0 0 0 31.0 0 0 6.0 0 0
55.5 0 0 30.5 0 0 5.5 0 0
55.0 0 0 30.0 0 0 5.0 0 0
54.5 0 0 29.5 0 0 4.5 0 0
54.0 0 0 29.0 0 0 4.0 0 0
53.5 0 0 28.5 0 0 3.5 0 0
53.0 0 0 28.0 0 0 3.0 0 0
52.5 0 0 27.5 0 0 2.5 0 0
52.0 0 0 27.0 0 0 2.0 0 0
51.5 0 0 26.5 0 0 1.5 0 0
51.0 0 0 26.0 0 0 1.0 0 0
50.5 0 0 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for District of Columbia
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 0 0 0 0 0 0 0 0 0 0
149.5 0 0 0 0 0 0 0 0 0 0
149.0 0 0 0 0 0 0 0 0 0 0
148.5 0 0 0 0 0 0 0 0 0 0
148.0 0 0 0 0 0 0 0 0 0 0
147.5 0 0 0 0 0 0 0 0 0 0
147.0 0 0 0 0 0 0 0 0 0 0
146.5 0 0 0 0 0 0 0 0 0 0
146.0 0 0 0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0 0 0 0
144.0 0 0 0 0 0 0 0 0 0 0
143.5 0 0 0 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0 0 0 0
140.5 0 0 0 0 0 0 0 0 0 0
140.0 0 0 0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 0 0 0 0 0
139.0 0 0 0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0 0 0 0
138.0 0 0 0 0 0 0 0 0 0 0
137.5 0 0 0 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 0 0 0 0
136.5 0 0 0 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 0 0 0 0
135.5 0 0 0 0 0 0 0 0 0 0
135.0 0 0 0 0 0 0 0 0 0 0
134.5 0 0 0 0 0 0 0 0 0 0
134.0 0 0 0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 0 0 0 0 0
133.0 0 0 0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0 1 0 0
132.0 0 0 0 0 0 0 0 0 0 0
131.5 0 0 0 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 0 0 0 0
130.5 0 0 0 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0 0 0 0
129.5 0 0 0 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 0 0 0 0 0
128.0 0 0 0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 0 0 0 0
127.0 0 0 0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 1 1 0 0
126.0 0 0 0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 0 0 0 0 0
125.0 0 0 0 0 0 0 0 0 0 0
124.5 0 0 0 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 0 1 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0 0 0 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0 0 0 0
121.5 0 0 0 0 0 0 0 0 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 0 0 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 0 0 1 0 0
119.0 0 0 0 0 0 0 1 0 0 0
118.5 0 0 0 0 0 0 0 1 0 0
118.0 0 0 0 0 0 0 0 0 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 0 0 0 0
116.5 0 0 0 0 0 0 0 0 0 0
116.0 0 0 0 0 0 0 1 1 0 0
115.5 0 0 0 0 0 0 0 0 0 0
115.0 0 0 0 0 0 0 0 0 0 0
114.5 0 0 0 0 0 0 1 1 0 0
114.0 0 0 0 0 0 0 0 1 0 0
113.5 0 0 0 0 0 0 1 4 0 0
113.0 0 0 0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 0 0 1 0 0
112.0 0 0 0 0 0 0 0 0 0 0
111.5 0 0 0 0 0 0 0 0 0 0
111.0 0 0 0 0 0 0 1 0 0 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 1 1 0 0
109.5 0 0 0 0 0 0 1 0 0 0
109.0 0 0 0 0 0 0 1 1 0 0
108.5 0 0 0 0 0 0 1 1 0 0
108.0 0 0 0 0 0 0 0 1 0 0
107.5 0 0 0 0 0 0 0 0 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 0 1 3 0 0
106.0 0 0 0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 1 1 2 0 0
105.0 0 0 0 0 0 0 0 0 0 0
104.5 0 0 0 0 0 1 1 0 0 0
104.0 0 0 0 0 0 0 0 1 0 0
103.5 0 0 0 0 0 0 0 0 0 0
103.0 0 0 0 0 0 0 1 1 0 0
102.5 0 0 0 0 0 0 0 1 0 0
102.0 0 0 0 0 0 0 1 0 0 0
101.5 0 0 0 0 0 0 1 1 0 0
101.0 0 0 0 0 0 0 0 0 0 0
100.5 0 0 0 0 0 0 3 3 0 0
100.0 0 0 0 0 0 0 0 0 0 0
99.5 0 0 0 0 0 0 3 1 0 0
99.0 0 0 0 0 0 0 0 0 0 0
98.5 0 0 0 0 0 0 2 0 0 0
98.0 0 0 0 0 0 0 0 2 0 0
97.5 0 0 0 0 0 0 0 0 0 0
97.0 0 0 0 0 0 0 1 1 0 0
96.5 0 0 0 0 0 0 0 0 0 0
96.0 0 0 0 0 0 1 1 0 0 0
95.5 0 0 0 0 0 0 1 2 0 0
95.0 0 0 0 0 0 1 0 2 0 0
94.5 0 0 0 0 0 0 4 0 0 0
94.0 0 0 0 0 0 0 0 1 0 0
93.5 0 0 0 0 0 0 0 1 0 0
93.0 0 0 0 0 0 0 1 1 0 0
92.5 0 0 0 0 0 0 0 0 0 0
92.0 0 0 0 0 0 0 0 2 0 0
91.5 0 0 0 0 0 0 0 0 0 0
91.0 0 0 0 0 0 0 0 0 0 0
90.5 0 0 0 0 0 0 0 0 0 0
90.0 0 0 0 0 0 0 3 1 0 0
89.5 0 0 0 0 0 0 2 0 0 0
89.0 0 0 0 0 1 1 0 0 0 0
88.5 0 0 0 0 0 0 1 1 0 0
88.0 0 0 0 0 0 0 0 0 0 0
87.5 0 0 0 0 1 1 0 1 0 0
87.0 0 0 0 0 0 0 0 0 0 0
86.5 0 0 0 0 0 1 1 1 0 0
86.0 0 0 0 0 0 0 0 0 0 0
85.5 0 0 0 0 0 0 1 0 0 0
85.0 0 0 0 0 0 0 0 0 0 0
84.5 0 0 0 0 0 0 0 2 0 0
84.0 0 0 0 0 0 0 2 0 0 0
83.5 0 0 0 0 0 0 3 0 0 0
83.0 0 0 0 0 0 0 0 0 0 0
82.5 0 0 0 0 0 0 0 1 0 0
82.0 0 0 0 0 0 0 3 1 0 0
81.5 0 0 0 0 0 0 1 0 0 0
81.0 0 0 0 0 0 0 0 0 0 0
80.5 0 0 0 0 0 0 1 1 0 0
80.0 0 0 0 0 0 0 0 0 0 0
79.5 0 0 0 0 1 1 0 1 0 0
79.0 0 0 0 0 0 1 1 0 0 0
78.5 0 0 0 0 0 1 0 0 0 0
78.0 0 0 0 0 0 1 0 0 0 0
77.5 0 0 0 0 0 0 0 1 0 0
77.0 0 0 0 0 1 1 1 2 0 0
76.5 0 0 0 0 0 0 0 1 0 0
76.0 0 0 0 0 0 2 0 1 0 0
75.5 0 0 0 0 0 0 1 0 0 0
75.0 0 0 0 0 0 0 1 1 0 0
74.5 0 0 0 0 0 1 0 2 0 0
74.0 0 0 0 0 0 0 0 1 0 0
73.5 0 0 0 0 1 0 0 0 0 0
73.0 0 0 0 0 0 0 0 0 0 0
72.5 0 0 0 0 0 0 0 0 0 0
72.0 0 0 0 0 0 0 0 0 0 0
71.5 0 0 0 0 0 0 0 0 0 0
71.0 0 0 0 0 0 1 2 0 0 0
70.5 0 0 0 0 0 0 0 0 0 0
70.0 0 0 0 0 0 1 0 2 0 0
69.5 0 0 0 0 0 2 0 0 0 0
69.0 0 0 0 0 0 0 0 0 0 0
68.5 0 0 0 0 1 0 0 0 0 0
68.0 0 0 0 0 0 0 1 0 0 0
67.5 0 0 0 0 1 0 1 1 0 0
67.0 0 0 0 0 0 0 1 1 0 0
66.5 0 0 0 0 0 1 0 0 0 0
66.0 0 0 0 0 0 0 0 0 0 0
65.5 0 0 0 0 0 0 0 0 0 0
65.0 0 0 0 0 0 0 0 0 0 0
64.5 0 0 0 0 0 0 0 0 0 0
64.0 0 0 0 0 0 0 0 1 0 0
63.5 0 0 0 0 0 0 1 0 0 0
63.0 0 0 0 0 0 0 0 0 0 0
62.5 0 0 0 0 0 0 0 0 0 0
62.0 0 0 0 0 0 0 0 0 0 0
61.5 0 0 0 0 0 0 0 0 0 0
61.0 0 0 0 0 0 0 0 0 0 0
60.5 0 0 0 0 0 0 0 0 0 0
60.0 0 0 0 0 0 0 0 0 0 0
59.5 0 0 0 0 0 0 0 0 0 0
59.0 0 0 0 0 0 0 0 0 0 0
58.5 0 0 0 0 0 0 0 0 0 0
58.0 0 0 0 0 0 0 0 0 0 0
57.5 0 0 0 0 0 1 0 0 0 0
57.0 0 0 0 0 0 1 0 0 0 0
56.5 0 0 0 0 0 0 0 0 0 0
56.0 0 0 0 0 0 0 0 0 0 0
55.5 0 0 0 0 0 0 0 0 0 0
55.0 0 0 0 0 0 0 0 0 0 0
54.5 0 0 0 0 0 0 0 0 0 0
54.0 0 0 0 0 0 0 0 0 0 0
53.5 0 0 0 0 0 0 0 0 0 0
53.0 0 0 0 0 0 0 0 0 0 0
52.5 0 0 0 0 0 0 0 0 0 0
52.0 0 0 0 0 0 0 0 0 0 0
51.5 0 0 0 0 0 0 0 0 0 0
51.0 0 0 0 0 0 0 0 0 0 0
50.5 0 0 0 0 0 0 0 0 0 0
50.0 0 0 0 0 0 0 1 0 0 0
49.5 0 0 0 0 0 0 0 0 0 0
49.0 0 0 0 0 0 0 0 0 0 0
48.5 0 0 0 0 0 0 0 0 0 0
48.0 0 0 0 0 0 0 0 0 0 0
47.5 0 0 0 0 0 0 0 0 0 0
47.0 0 0 0 0 0 0 0 1 0 0
46.5 0 0 0 0 0 0 0 0 0 0
46.0 0 0 0 0 0 0 0 0 0 0
45.5 0 0 0 0 0 0 0 0 0 0
45.0 0 0 0 0 0 0 0 0 0 0
44.5 0 0 0 0 0 0 0 0 0 0
44.0 0 0 0 0 0 0 0 0 0 0
43.5 0 0 0 0 0 0 0 0 0 0
43.0 0 0 0 0 0 0 0 0 0 0
42.5 0 0 0 0 0 0 0 0 0 0
42.0 0 0 0 0 0 0 0 0 0 0
41.5 0 0 0 0 0 0 0 0 0 0
41.0 0 0 0 0 0 0 0 0 0 0
40.5 0 0 0 0 0 0 0 0 0 0
40.0 0 0 0 0 0 0 0 0 0 0
39.5 0 0 0 0 0 0 0 0 0 0
39.0 0 0 0 0 0 0 0 0 0 0
38.5 0 0 0 0 0 0 0 0 0 0
38.0 0 0 0 0 0 0 0 0 0 0
37.5 0 0 0 0 0 0 0 0 0 0
37.0 0 0 0 0 0 0 0 0 0 0
36.5 0 0 0 0 0 0 0 0 0 0
36.0 0 0 0 0 0 0 0 0 0 0
35.5 0 0 0 0 0 0 0 0 0 0
35.0 0 0 0 0 0 0 0 0 0 0
34.5 0 0 0 0 0 0 0 0 0 0
34.0 0 0 0 0 0 0 0 0 0 0
33.5 0 0 0 0 0 0 0 0 0 0
33.0 0 0 0 0 0 0 0 0 0 0
32.5 0 0 0 0 0 0 0 0 0 0
32.0 0 0 0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 0 0 0 0 0
31.0 0 0 0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 0 0 0 0 0
30.0 0 0 0 0 0 0 0 0 0 0
29.5 0 0 0 0 0 0 0 0 0 0
29.0 0 0 0 0 0 0 0 0 0 0
28.5 0 0 0 0 0 0 0 0 0 0
28.0 0 0 0 0 0 0 0 0 0 0
27.5 0 0 0 0 0 0 0 0 0 0
27.0 0 0 0 0 0 0 0 0 0 0
26.5 0 0 0 0 0 0 0 0 0 0
26.0 0 0 0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 0 0 0 0
25.0 0 0 0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0 0 0 0
24.0 0 0 0 0 0 0 0 0 0 0
23.5 0 0 0 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 0 0 0 0
22.5 0 0 0 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 0 0 0 0
21.5 0 0 0 0 0 0 0 0 0 0
21.0 0 0 0 0 0 0 0 0 0 0
20.5 0 0 0 0 0 0 0 0 0 0
20.0 0 0 0 0 0 0 0 0 0 0
19.5 0 0 0 0 0 0 0 0 0 0
19.0 0 0 0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0 0 0 0
18.0 0 0 0 0 0 0 0 0 0 0
17.5 0 0 0 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0 0 0 0
16.5 0 0 0 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0 0 0 0
15.5 0 0 0 0 0 0 0 0 0 0
15.0 0 0 0 0 0 0 0 0 0 0
14.5 0 0 0 0 0 0 0 0 0 0
14.0 0 0 0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0
12.0 0 0 0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0 0 0 0
6.0 0 0 0 0 0 0 0 0 0 0
5.5 0 0 0 0 0 0 0 0 0 0
5.0 0 0 0 0 0 0 0 0 0 0
4.5 0 0 0 0 0 0 0 0 0 0
4.0 0 0 0 0 0 0 0 0 0 0
3.5 0 0 0 0 0 0 0 0 0 0
3.0 0 0 0 0 0 0 0 0 0 0
2.5 0 0 0 0 0 0 0 0 0 0
2.0 0 0 0 0 0 0 0 0 0 0
1.5 0 0 0 0 0 0 0 0 0 0
1.0 0 0 0 0 0 0 0 0 0 0
0.5 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for District of Columbia
Analysis
Table of Item Difficulty for the 2003
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.19 0.70 0.32 7.90* 0.32 0.57 0.00
2 0.00 9.11* 0.06 0.76 0.00 0.06 0.00
3 0.19 2.80 0.25 5.99* 0.00 0.76 0.00
4 7.39* 0.00 0.00 2.23 0.00 0.38 0.00
5 0.06 0.00 0.06 0.00 9.30* 0.57 0.00
6 0.32 1.97 6.24* 0.19 0.38 0.89 0.00
7 0.83 3.95* 0.51 2.36 0.13 2.23 0.00
8 0.19 0.06 0.06 0.19 9.17* 0.32 0.00
9 0.13 0.38 0.57 5.67* 0.25 2.99 0.00
10 0.45 0.45 0.38 6.05* 0.06 2.61 0.00
11 0.45 0.64 3.12* 0.19 0.38 5.22 0.00
12 0.00 0.06 0.25 0.19 7.71* 1.78 0.00
13 0.06 0.32 0.25 1.53 5.61* 2.23 0.00
14 0.19 0.25 0.38 6.75* 0.13 2.29 0.00
15 0.76 0.13 1.53* 0.00 0.89 6.69 0.00
16 0.57 0.51 4.46* 0.00 0.76 3.69 0.00
17 0.19 2.04* 0.25 0.19 0.06 7.26 0.00
18 0.06 0.70* 0.13 0.13 0.13 8.85 0.00
19 0.25 0.70 1.34 2.10* 0.45 5.16 0.00
20 0.06* 0.19 0.51 0.57 0.06 8.60 0.00
21 1.59 0.32 0.00 0.96* 0.89 6.24 0.00
22 0.25 0.45 0.00* 0.32 0.00 8.98 0.00
23 0.06 0.32* 0.06 0.00 0.06 9.49 0.00
24 0.19 2.61* 0.76 0.00 0.00 6.43 0.00
25 0.51 0.32 0.06* 0.06 1.02 8.03 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
2003 AMC 10 B Results for District of Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 0 0 100.0 0 0
149.5 0 0 124.5 0 0 99.5 1 2
149.0 0 0 124.0 0 0 99.0 1 0
148.5 0 0 123.5 0 0 98.5 0 3
148.0 0 0 123.0 2 0 98.0 2 2
147.5 0 0 122.5 0 0 97.5 0 0
147.0 0 0 122.0 0 0 97.0 0 0
146.5 1 0 121.5 0 0 96.5 1 0
146.0 0 0 121.0 0 0 96.0 1 1
145.5 0 0 120.5 0 1 95.5 2 1
145.0 0 0 120.0 0 0 95.0 1 0
144.5 0 0 119.5 0 1 94.5 0 3
144.0 0 0 119.0 0 0 94.0 0 0
143.5 0 0 118.5 0 0 93.5 1 1
143.0 0 0 118.0 0 0 93.0 2 2
142.5 0 0 117.5 0 0 92.5 1 1
142.0 0 0 117.0 0 0 92.0 1 4
141.5 0 0 116.5 0 0 91.5 0 0
141.0 0 0 116.0 0 0 91.0 0 0
140.5 0 0 115.5 0 0 90.5 1 1
140.0 0 0 115.0 0 1 90.0 1 0
139.5 0 0 114.5 2 0 89.5 0 2
139.0 0 0 114.0 0 0 89.0 2 0
138.5 0 0 113.5 0 0 88.5 2 0
138.0 0 0 113.0 0 0 88.0 1 1
137.5 0 0 112.5 0 0 87.5 0 1
137.0 0 0 112.0 0 2 87.0 2 2
136.5 0 0 111.5 0 0 86.5 2 2
136.0 0 0 111.0 1 0 86.0 0 1
135.5 0 0 110.5 0 0 85.5 0 4
135.0 0 0 110.0 2 2 85.0 1 1
134.5 0 0 109.5 0 0 84.5 1 0
134.0 0 0 109.0 0 1 84.0 0 3
133.5 1 0 108.5 0 0 83.5 1 1
133.0 0 0 108.0 0 0 83.0 2 2
132.5 0 0 107.5 0 0 82.5 1 2
132.0 0 0 107.0 0 0 82.0 1 0
131.5 0 0 106.5 2 0 81.5 1 2
131.0 0 0 106.0 0 1 81.0 0 2
130.5 0 0 105.5 2 0 80.5 0 0
130.0 0 0 105.0 0 1 80.0 2 0
129.5 0 0 104.5 1 0 79.5 3 0
129.0 0 0 104.0 0 1 79.0 1 0
128.5 0 0 103.5 0 0 78.5 1 2
128.0 0 0 103.0 0 2 78.0 0 2
127.5 0 0 102.5 2 1 77.5 2 5
127.0 0 0 102.0 1 0 77.0 1 1
126.5 0 0 101.5 0 1 76.5 0 1
126.0 0 0 101.0 0 1 76.0 1 0
125.5 0 0 100.5 0 1 75.5 0 2
American Mathematics Competitions
2003 AMC 10 B Results for District of Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 3 50.0 0 2 25.0 0 0
74.5 2 2 49.5 1 1 24.5 0 0
74.0 1 3 49.0 0 0 24.0 1 1
73.5 2 1 48.5 0 1 23.5 0 0
73.0 2 5 48.0 0 1 23.0 0 0
72.5 1 0 47.5 2 0 22.5 0 0
72.0 0 2 47.0 0 1 22.0 0 0
71.5 2 1 46.5 1 1 21.5 0 0
71.0 3 2 46.0 2 0 21.0 0 0
70.5 0 1 45.5 2 0 20.5 0 0
70.0 3 1 45.0 1 0 20.0 0 0
69.5 1 3 44.5 0 0 19.5 0 0
69.0 0 0 44.0 0 0 19.0 0 0
68.5 2 3 43.5 0 0 18.5 0 0
68.0 0 0 43.0 0 0 18.0 0 0
67.5 0 0 42.5 0 0 17.5 0 0
67.0 0 1 42.0 1 0 17.0 0 0
66.5 3 2 41.5 0 0 16.5 0 0
66.0 0 5 41.0 0 0 16.0 0 0
65.5 0 1 40.5 0 0 15.5 0 0
65.0 0 1 40.0 0 1 15.0 0 0
64.5 1 3 39.5 0 0 14.5 0 0
64.0 3 1 39.0 2 0 14.0 0 0
63.5 1 1 38.5 1 0 13.5 0 0
63.0 0 0 38.0 0 0 13.0 0 0
62.5 2 1 37.5 0 0 12.5 0 0
62.0 0 1 37.0 0 0 12.0 0 0
61.5 2 2 36.5 1 1 11.5 0 0
61.0 1 3 36.0 1 1 11.0 0 0
60.5 0 3 35.5 0 0 10.5 0 0
60.0 1 2 35.0 1 0 10.0 0 0
59.5 4 3 34.5 0 0 9.5 0 0
59.0 0 4 34.0 0 0 9.0 0 0
58.5 0 2 33.5 0 1 8.5 0 0
58.0 0 0 33.0 0 0 8.0 0 0
57.5 2 1 32.5 1 0 7.5 0 0
57.0 1 0 32.0 0 0 7.0 0 0
56.5 2 3 31.5 0 0 6.5 0 0
56.0 1 0 31.0 0 0 6.0 0 0
55.5 0 3 30.5 0 0 5.5 0 0
55.0 1 1 30.0 0 2 5.0 0 0
54.5 1 2 29.5 0 1 4.5 0 0
54.0 1 1 29.0 0 0 4.0 0 0
53.5 0 0 28.5 0 0 3.5 0 0
53.0 2 1 28.0 0 0 3.0 0 0
52.5 1 0 27.5 0 0 2.5 0 0
52.0 0 0 27.0 0 0 2.0 0 0
51.5 0 1 26.5 0 0 1.5 0 0
51.0 0 0 26.0 0 0 1.0 0 0
50.5 0 3 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 B Results for District of Columbia
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 unknown
---------------------------
150.0 0 0 0 0 0 0 0
149.5 0 0 0 0 0 0 0
149.0 0 0 0 0 0 0 0
148.5 0 0 0 0 0 0 0
148.0 0 0 0 0 0 0 0
147.5 0 0 0 0 0 0 0
147.0 0 0 0 0 0 0 0
146.5 0 0 0 0 0 1 0
146.0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0
144.0 0 0 0 0 0 0 0
143.5 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0
140.5 0 0 0 0 0 0 0
140.0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 0 0
139.0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0
138.0 0 0 0 0 0 0 0
137.5 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 0
136.5 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 0
135.5 0 0 0 0 0 0 0
135.0 0 0 0 0 0 0 0
134.5 0 0 0 0 0 0 0
134.0 0 0 0 0 0 0 0
133.5 0 0 0 1 0 0 0
133.0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0
132.0 0 0 0 0 0 0 0
131.5 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 0
130.5 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0
129.5 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 0 0
128.0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 0
127.0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 0
126.0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 0 0
125.0 0 0 0 0 0 0 0
124.5 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 0
123.5 0 0 0 0 0 0 0
123.0 0 0 0 0 0 2 0
122.5 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0
121.5 0 0 0 0 0 0 0
121.0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 1 0
120.0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 1 0
119.0 0 0 0 0 0 0 0
118.5 0 0 0 0 0 0 0
118.0 0 0 0 0 0 0 0
117.5 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 0
116.5 0 0 0 0 0 0 0
116.0 0 0 0 0 0 0 0
115.5 0 0 0 0 0 0 0
115.0 0 0 0 0 0 1 0
114.5 0 0 0 0 1 1 0
114.0 0 0 0 0 0 0 0
113.5 0 0 0 0 0 0 0
113.0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 0 0
112.0 0 0 0 0 1 1 0
111.5 0 0 0 0 0 0 0
111.0 0 0 0 0 0 1 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 0 1 3 0
109.5 0 0 0 0 0 0 0
109.0 0 0 0 0 1 0 0
108.5 0 0 0 0 0 0 0
108.0 0 0 0 0 0 0 0
107.5 0 0 0 0 0 0 0
107.0 0 0 0 0 0 0 0
106.5 0 0 0 0 1 1 0
106.0 0 0 0 0 0 1 0
105.5 0 0 0 0 1 1 0
105.0 0 0 0 0 0 1 0
104.5 0 0 0 0 1 0 0
104.0 0 0 0 0 0 1 0
103.5 0 0 0 0 0 0 0
103.0 0 0 0 0 1 1 0
102.5 0 0 0 0 1 2 0
102.0 0 0 0 0 0 1 0
101.5 0 0 0 0 1 0 0
101.0 0 0 0 0 1 0 0
100.5 0 0 0 0 1 0 0
100.0 0 0 0 0 0 0 0
99.5 0 0 0 0 2 1 0
99.0 0 0 0 1 0 0 0
98.5 0 0 0 0 2 1 0
98.0 0 0 0 0 2 2 0
97.5 0 0 0 0 0 0 0
97.0 0 0 0 0 0 0 0
96.5 0 0 0 0 1 0 0
96.0 0 0 0 0 1 1 0
95.5 0 0 0 0 3 0 0
95.0 0 0 0 0 0 1 0
94.5 0 0 0 0 1 2 0
94.0 0 0 0 0 0 0 0
93.5 0 0 0 0 1 1 0
93.0 0 0 0 0 4 0 0
92.5 0 0 0 0 0 2 0
92.0 0 0 0 0 4 1 0
91.5 0 0 0 0 0 0 0
91.0 0 0 0 0 1 0 0
90.5 0 0 0 0 1 2 0
90.0 0 0 0 0 0 1 0
89.5 0 0 0 0 2 0 0
89.0 0 0 0 0 1 1 0
88.5 0 0 0 0 1 1 0
88.0 0 0 0 0 2 1 0
87.5 0 0 0 0 1 0 0
87.0 0 0 0 0 3 1 0
86.5 0 0 0 0 2 2 0
86.0 0 0 0 0 0 1 0
85.5 0 0 0 0 3 1 0
85.0 0 0 0 0 1 1 0
84.5 0 0 0 0 1 0 0
84.0 0 0 0 0 2 1 0
83.5 0 0 0 0 1 1 1
83.0 0 0 0 0 4 0 0
82.5 0 0 0 0 3 0 0
82.0 0 0 0 0 1 0 0
81.5 0 0 0 0 2 1 0
81.0 0 0 0 0 2 0 0
80.5 0 0 0 0 0 0 0
80.0 0 0 0 0 1 1 0
79.5 0 0 0 0 2 1 0
79.0 0 0 0 0 0 1 0
78.5 0 0 0 0 2 1 0
78.0 0 0 0 0 0 2 0
77.5 0 0 0 1 5 1 0
77.0 0 0 0 0 1 1 0
76.5 0 0 0 0 0 1 0
76.0 0 0 0 0 1 1 0
75.5 0 0 0 0 2 0 0
75.0 0 0 0 0 3 2 0
74.5 0 0 0 0 1 3 0
74.0 0 0 0 0 4 0 0
73.5 0 0 0 0 3 0 0
73.0 0 0 0 0 5 2 0
72.5 0 0 0 0 0 1 0
72.0 0 0 0 0 2 0 0
71.5 0 0 0 0 3 0 1
71.0 0 0 0 0 3 2 0
70.5 0 0 0 0 0 1 1
70.0 0 0 0 0 2 2 1
69.5 0 0 0 0 3 1 0
69.0 0 0 0 0 0 0 0
68.5 0 0 0 0 4 1 0
68.0 0 0 0 0 0 0 1
67.5 0 0 0 0 0 0 0
67.0 0 0 0 0 1 0 0
66.5 0 0 0 0 3 2 1
66.0 0 0 0 0 3 2 0
65.5 0 0 0 0 1 0 1
65.0 0 0 0 0 1 0 0
64.5 0 0 0 0 3 1 1
64.0 0 0 0 0 2 2 0
63.5 0 0 0 0 2 1 0
63.0 0 0 0 0 0 0 1
62.5 0 0 0 0 2 1 0
62.0 0 0 0 0 1 0 0
61.5 0 0 0 0 3 1 1
61.0 0 0 0 0 4 0 0
60.5 0 0 0 0 2 1 1
60.0 0 0 0 0 2 1 0
59.5 0 0 0 0 6 1 0
59.0 0 0 0 0 3 1 0
58.5 0 0 0 0 2 0 0
58.0 0 0 0 0 0 0 0
57.5 0 0 0 0 2 1 0
57.0 0 0 0 0 1 0 1
56.5 0 0 0 0 4 1 0
56.0 0 0 0 0 1 0 0
55.5 0 0 0 0 2 1 0
55.0 0 0 0 0 1 1 0
54.5 0 0 0 0 1 2 0
54.0 0 0 0 0 2 0 0
53.5 0 0 0 0 0 0 0
53.0 0 0 0 0 2 1 0
52.5 0 0 0 0 2 0 0
52.0 0 0 0 0 0 0 0
51.5 0 0 0 0 1 0 0
51.0 0 0 0 0 0 0 0
50.5 0 0 0 0 1 2 0
50.0 0 0 0 0 1 1 0
49.5 0 0 0 0 2 0 0
49.0 0 0 0 0 0 0 0
48.5 0 0 0 0 1 0 0
48.0 0 0 0 0 1 0 0
47.5 0 0 0 0 1 1 0
47.0 0 0 0 0 0 1 0
46.5 0 0 0 0 1 1 0
46.0 0 0 0 0 1 1 0
45.5 0 0 0 0 2 0 0
45.0 0 0 0 0 1 0 0
44.5 0 0 0 0 1 0 0
44.0 0 0 0 0 0 0 0
43.5 0 0 0 0 0 0 0
43.0 0 0 0 0 0 0 0
42.5 0 0 0 0 0 0 0
42.0 0 0 0 0 1 0 1
41.5 0 0 0 0 0 0 0
41.0 0 0 0 0 0 0 0
40.5 0 0 0 0 0 0 0
40.0 0 0 0 0 1 0 0
39.5 0 0 0 0 0 0 0
39.0 0 0 0 0 1 1 0
38.5 0 0 0 0 0 1 0
38.0 0 0 0 0 0 0 0
37.5 0 0 0 0 0 0 0
37.0 0 0 0 0 0 0 0
36.5 0 0 0 0 2 0 0
36.0 0 0 0 0 1 1 1
35.5 0 0 0 0 0 0 0
35.0 0 0 0 0 0 1 0
34.5 0 0 0 0 0 0 0
34.0 0 0 0 0 0 0 0
33.5 0 0 0 0 1 0 0
33.0 0 0 0 0 0 0 0
32.5 0 0 0 0 0 1 0
32.0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 0 0
31.0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 0 0
30.0 0 0 0 0 0 2 0
29.5 0 0 0 0 1 0 0
29.0 0 0 0 0 0 0 0
28.5 0 0 0 0 0 0 0
28.0 0 0 0 0 0 0 0
27.5 0 0 0 0 0 0 0
27.0 0 0 0 0 0 0 0
26.5 0 0 0 0 0 0 0
26.0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 0
25.0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0
24.0 0 0 0 0 1 1 0
23.5 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 0
22.5 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 0
21.5 0 0 0 0 0 0 0
21.0 0 0 0 0 0 0 0
20.5 0 0 0 0 0 0 0
20.0 0 0 0 0 0 0 0
19.5 0 0 0 0 0 0 0
19.0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0
18.0 0 0 0 0 0 0 0
17.5 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0
16.5 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0
15.5 0 0 0 0 0 0 0
15.0 0 0 0 0 0 0 0
14.5 0 0 0 0 0 0 0
14.0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0
12.0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0
6.0 0 0 0 0 0 0 0
5.5 0 0 0 0 0 0 0
5.0 0 0 0 0 0 0 0
4.5 0 0 0 0 0 0 0
4.0 0 0 0 0 0 0 0
3.5 0 0 0 0 0 0 0
3.0 0 0 0 0 0 0 0
2.5 0 0 0 0 0 0 0
2.0 0 0 0 0 0 0 0
1.5 0 0 0 0 0 0 0
1.0 0 0 0 0 0 0 0
0.5 0 0 0 0 0 0 0
0 0 0 0 0 0 0
American Mathematics Competitions
2003 AMC 10 B Results for District of Columbia
Analysis
Table of Item Difficulty for the 2003
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.09 0.19 9.32* 0.09 0.06 0.25 0.00
2 0.12 0.28 1.30 7.05* 0.68 0.56 0.00
3 1.18 6.02* 0.43 0.90 0.16 1.30 0.00
4 7.30* 0.65 0.50 0.12 0.22 1.21 0.00
5 0.50 0.59 2.98* 0.90 1.65 3.39 0.00
6 1.12 1.30 0.43 4.10* 0.84 2.20 0.00
7 0.28 4.81* 0.53 0.56 0.37 3.45 0.00
8 0.34 0.75* 0.43 0.71 0.75 7.02 0.00
9 0.47 2.80* 0.68 0.40 0.47 5.19 0.00
10 0.68 0.25 2.73* 1.24 0.65 4.44 0.00
11 4.75* 0.81 0.50 0.47 0.93 2.55 0.00
12 0.81 0.84 5.25* 0.19 0.31 2.61 0.00
13 2.61 0.53 0.40 0.81 1.49* 4.16 0.00
14 1.09 0.65 0.40 2.45* 0.43 4.97 0.00
15 1.52 2.42 0.37 0.90 2.39* 2.39 0.00
16 0.28 0.37 0.65 0.53 4.81* 3.35 0.00
17 0.16 1.71* 0.84 0.34 0.16 6.80 0.00
18 0.28 1.65 0.28 1.77* 1.55 4.47 0.00
19 0.28 0.43 0.43 0.62 0.62* 7.61 0.00
20 0.22 0.31 0.53 1.52* 1.34 6.09 0.00
21 1.61 0.56 0.59* 1.27 0.56 5.40 0.00
22 1.55 2.24* 1.18 0.56 0.40 4.07 0.00
23 0.19 0.71 0.47 0.90* 0.50 7.24 0.00
24 0.09 0.37 1.65 0.09 0.16* 7.64 0.00
25 1.06 1.86* 0.99 0.37 0.25 5.47 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
2003 AMC 12 B Results for District of Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 0 0 100.0 0 0
149.5 0 0 124.5 0 0 99.5 1 5
149.0 0 0 124.0 0 0 99.0 0 0
148.5 0 0 123.5 0 0 98.5 0 1
148.0 0 0 123.0 0 0 98.0 1 1
147.5 0 0 122.5 0 0 97.5 0 0
147.0 0 0 122.0 0 0 97.0 0 0
146.5 0 0 121.5 0 0 96.5 0 0
146.0 0 0 121.0 0 0 96.0 3 2
145.5 0 0 120.5 0 0 95.5 0 0
145.0 0 0 120.0 0 0 95.0 0 0
144.5 0 0 119.5 0 0 94.5 1 0
144.0 0 0 119.0 0 0 94.0 0 0
143.5 0 0 118.5 0 0 93.5 0 3
143.0 0 0 118.0 0 0 93.0 1 0
142.5 0 0 117.5 0 0 92.5 0 1
142.0 0 0 117.0 2 0 92.0 0 0
141.5 0 0 116.5 0 0 91.5 1 1
141.0 0 0 116.0 2 0 91.0 2 1
140.5 0 0 115.5 0 0 90.5 0 0
140.0 0 0 115.0 0 0 90.0 0 2
139.5 0 0 114.5 0 0 89.5 1 0
139.0 0 0 114.0 0 0 89.0 1 2
138.5 0 0 113.5 0 0 88.5 1 1
138.0 0 0 113.0 0 0 88.0 0 0
137.5 0 0 112.5 1 0 87.5 0 0
137.0 0 0 112.0 0 0 87.0 0 1
136.5 0 0 111.5 1 0 86.5 1 1
136.0 0 0 111.0 0 0 86.0 1 1
135.5 0 0 110.5 0 0 85.5 0 1
135.0 0 0 110.0 2 0 85.0 1 0
134.5 0 0 109.5 0 0 84.5 2 0
134.0 0 0 109.0 2 0 84.0 1 3
133.5 0 0 108.5 0 0 83.5 0 0
133.0 0 0 108.0 0 0 83.0 1 3
132.5 0 0 107.5 0 0 82.5 1 0
132.0 0 0 107.0 0 0 82.0 0 0
131.5 0 0 106.5 3 1 81.5 1 3
131.0 1 0 106.0 0 0 81.0 3 0
130.5 0 0 105.5 0 0 80.5 1 0
130.0 0 0 105.0 0 0 80.0 1 0
129.5 0 0 104.5 1 0 79.5 1 2
129.0 0 0 104.0 0 0 79.0 1 1
128.5 0 0 103.5 0 0 78.5 0 0
128.0 0 0 103.0 0 1 78.0 2 0
127.5 0 0 102.5 0 0 77.5 0 0
127.0 0 0 102.0 0 2 77.0 0 5
126.5 0 0 101.5 0 0 76.5 1 1
126.0 0 0 101.0 0 1 76.0 1 1
125.5 0 0 100.5 1 1 75.5 1 1
American Mathematics Competitions
2003 AMC 12 B Results for District of Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 0 50.0 0 1 25.0 0 0
74.5 1 1 49.5 0 0 24.5 0 0
74.0 0 0 49.0 0 1 24.0 0 0
73.5 2 1 48.5 1 0 23.5 0 0
73.0 1 0 48.0 0 1 23.0 0 0
72.5 0 0 47.5 0 0 22.5 0 0
72.0 0 0 47.0 1 0 22.0 0 0
71.5 0 0 46.5 0 0 21.5 0 0
71.0 0 0 46.0 0 1 21.0 0 0
70.5 0 3 45.5 0 0 20.5 0 0
70.0 0 0 45.0 0 0 20.0 0 0
69.5 2 1 44.5 1 0 19.5 0 0
69.0 1 0 44.0 0 1 19.0 0 0
68.5 1 1 43.5 0 0 18.5 0 0
68.0 0 0 43.0 1 0 18.0 0 0
67.5 1 1 42.5 0 0 17.5 0 0
67.0 2 3 42.0 3 2 17.0 0 0
66.5 0 0 41.5 0 0 16.5 0 0
66.0 2 0 41.0 0 0 16.0 0 0
65.5 0 0 40.5 0 0 15.5 0 0
65.0 1 1 40.0 0 0 15.0 0 0
64.5 1 1 39.5 0 0 14.5 0 0
64.0 0 2 39.0 0 0 14.0 0 0
63.5 1 3 38.5 0 0 13.5 0 0
63.0 0 0 38.0 0 0 13.0 0 0
62.5 0 0 37.5 0 0 12.5 0 0
62.0 1 0 37.0 0 0 12.0 1 1
61.5 0 1 36.5 0 1 11.5 0 0
61.0 1 0 36.0 0 1 11.0 0 0
60.5 1 2 35.5 0 0 10.5 0 0
60.0 3 1 35.0 0 0 10.0 0 0
59.5 0 3 34.5 0 0 9.5 0 0
59.0 1 1 34.0 0 0 9.0 0 0
58.5 0 0 33.5 0 0 8.5 0 0
58.0 1 0 33.0 0 0 8.0 0 0
57.5 1 0 32.5 0 0 7.5 0 0
57.0 0 0 32.0 0 0 7.0 0 0
56.5 0 0 31.5 0 0 6.5 0 0
56.0 0 0 31.0 0 0 6.0 0 0
55.5 0 0 30.5 0 0 5.5 0 0
55.0 0 0 30.0 1 0 5.0 0 0
54.5 0 0 29.5 0 0 4.5 0 0
54.0 1 2 29.0 0 0 4.0 0 0
53.5 0 0 28.5 0 0 3.5 0 0
53.0 1 1 28.0 0 0 3.0 0 0
52.5 0 1 27.5 0 0 2.5 0 0
52.0 0 0 27.0 0 0 2.0 0 0
51.5 0 0 26.5 0 0 1.5 0 0
51.0 0 1 26.0 0 0 1.0 0 0
50.5 0 0 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 B Results for District of Columbia
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 0 0 0 0 0 0 0 0 0 0
149.5 0 0 0 0 0 0 0 0 0 0
149.0 0 0 0 0 0 0 0 0 0 0
148.5 0 0 0 0 0 0 0 0 0 0
148.0 0 0 0 0 0 0 0 0 0 0
147.5 0 0 0 0 0 0 0 0 0 0
147.0 0 0 0 0 0 0 0 0 0 0
146.5 0 0 0 0 0 0 0 0 0 0
146.0 0 0 0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0 0 0 0
144.0 0 0 0 0 0 0 0 0 0 0
143.5 0 0 0 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0 0 0 0
140.5 0 0 0 0 0 0 0 0 0 0
140.0 0 0 0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 0 0 0 0 0
139.0 0 0 0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0 0 0 0
138.0 0 0 0 0 0 0 0 0 0 0
137.5 0 0 0 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 0 0 0 0
136.5 0 0 0 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 0 0 0 0
135.5 0 0 0 0 0 0 0 0 0 0
135.0 0 0 0 0 0 0 0 0 0 0
134.5 0 0 0 0 0 0 0 0 0 0
134.0 0 0 0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 0 0 0 0 0
133.0 0 0 0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0 0 0 0
132.0 0 0 0 0 0 0 0 0 0 0
131.5 0 0 0 0 0 0 0 0 0 0
131.0 0 0 0 0 0 1 0 0 0 0
130.5 0 0 0 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0 0 0 0
129.5 0 0 0 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 0 0 0 0 0
128.0 0 0 0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 0 0 0 0
127.0 0 0 0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 0 0 0 0
126.0 0 0 0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 0 0 0 0 0
125.0 0 0 0 0 0 0 0 0 0 0
124.5 0 0 0 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 0 0 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0 0 0 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0 0 0 0
121.5 0 0 0 0 0 0 0 0 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 0 0 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 0 0 0 0 0
119.0 0 0 0 0 0 0 0 0 0 0
118.5 0 0 0 0 0 0 0 0 0 0
118.0 0 0 0 0 0 0 0 0 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 1 1 0 0
116.5 0 0 0 0 0 0 0 0 0 0
116.0 0 0 0 0 0 0 0 2 0 0
115.5 0 0 0 0 0 0 0 0 0 0
115.0 0 0 0 0 0 0 0 0 0 0
114.5 0 0 0 0 0 0 0 0 0 0
114.0 0 0 0 0 0 0 0 0 0 0
113.5 0 0 0 0 0 0 0 0 0 1
113.0 0 0 0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 0 0 1 0 0
112.0 0 0 0 0 0 0 0 0 0 0
111.5 0 0 0 0 0 0 0 1 0 0
111.0 0 0 0 0 0 0 0 0 0 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 2 0 0 0
109.5 0 0 0 0 0 0 0 0 0 0
109.0 0 0 0 0 0 0 2 0 0 0
108.5 0 0 0 0 0 0 0 0 0 0
108.0 0 0 0 0 0 0 0 0 0 0
107.5 0 0 0 0 0 0 0 0 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 1 0 3 0 0
106.0 0 0 0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 0 0 0 0 0
105.0 0 0 0 0 0 0 0 0 0 0
104.5 0 0 0 0 0 0 1 0 0 0
104.0 0 0 0 0 0 0 0 0 0 0
103.5 0 0 0 0 0 0 0 0 0 0
103.0 0 0 0 0 0 0 1 0 0 0
102.5 0 0 0 0 0 0 0 0 0 0
102.0 0 0 0 0 0 0 2 0 0 0
101.5 0 0 0 0 0 0 0 0 0 0
101.0 0 0 0 0 0 0 1 0 0 0
100.5 0 0 0 0 0 0 2 0 0 0
100.0 0 0 0 0 0 0 0 0 0 0
99.5 0 0 0 0 0 0 3 3 0 0
99.0 0 0 0 0 0 0 0 0 0 0
98.5 0 0 0 0 0 0 0 1 0 0
98.0 0 0 0 0 0 0 0 2 0 0
97.5 0 0 0 0 0 0 0 0 0 0
97.0 0 0 0 0