American Mathematics Competitions
2003 AMC 10 A Results for Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1905
Number of unofficial participants: 40
Average score of participants: 73.8
Average score for female students is: 71.3 ( 846 Students)
Average score for male students is: 76.1 ( 938 Students)
Average score for unspecified gender is 73.7 ( 121 Students)
Average score for grade 10 is: 72.8 ( 996 Students)
Average score for grade 9 is: 74.1 ( 799 Students)
Average score for grade 8 and below is: 85.7 ( 80 Students)
Average score with unknown grade: 68.6 ( 30 Students)
AIME qualifying score = 119.0 or better
Number of AIME qualifers 24
Number of schools returning results 50
Average school winning score 105.01
American Mathematics Competitions
2003 AMC 12 A Results for Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2848
Number of unofficial participants: 37
Average score of participants: 76.2
Average score for female students is: 71.2 ( 1264 Students)
Average score for male students is: 81.0 ( 1439 Students)
Average score for unspecified gender is 70.7 ( 145 Students)
Average score for grade 12 is: 77.9 ( 1081 Students)
Average score for grade 11 is: 75.1 ( 1247 Students)
Average score for grade 10 is: 76.7 ( 371 Students)
Average score for grade 9 is: 75.7 ( 79 Students)
Average score with unknown grade: 66.0 ( 70 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 310
Number of schools returning results 62
Average school winning score 108.24
Average school team score 304.35
American Mathematics Competitions
2003 AMC 10 B Results for Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 539
Number of unofficial participants: 106
Average score of participants: 76.7
Average score for female students is: 73.4 ( 257 Students)
Average score for male students is: 80.9 ( 245 Students)
Average score for unspecified gender is 72.0 ( 37 Students)
Average score for grade 10 is: 78.1 ( 247 Students)
Average score for grade 9 is: 76.0 ( 272 Students)
Average score for grade 8 and below is: 66.4 ( 4 Students)
Average score with unknown grade: 69.7 ( 16 Students)
AIME qualifying score = 121.0 or better
Number of AIME qualifers 3
Number of schools returning results 21
Average school winning score 103.62
American Mathematics Competitions
2003 AMC 12 B Results for Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1203
Number of unofficial participants: 76
Average score of participants: 74.5
Average score for female students is: 69.6 ( 455 Students)
Average score for male students is: 78.1 ( 686 Students)
Average score for unspecified gender is 71.6 ( 62 Students)
Average score for grade 13 is: 79.3 ( 2 Students)
Average score for grade 12 is: 77.3 ( 437 Students)
Average score for grade 11 is: 72.6 ( 486 Students)
Average score for grade 10 is: 72.1 ( 192 Students)
Average score for grade 9 is: 75.4 ( 42 Students)
Average score for grade 8 and below is: 87.9 ( 21 Students)
Average score with unknown grade: 69.5 ( 23 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 70
Number of schools returning results 36
Average school winning score 103.83
Average school team score 283.56
2003 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 3 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 0
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 5 0 2 0
143.5 0 0 0 0
143.0 0 1 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 1 0
139.0 0 0 0 0
138.5 0 0 0 0
138.0 1 0 1 0
137.5 0 0 0 0
137.0 1 0 1 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 1 1 0
133.0 0 0 0 0
132.5 1 0 0 0
132.0 2 1 0 0
131.5 0 0 0 0
131.0 2 0 1 1
130.5 0 0 0 0
130.0 1 0 0 1
129.5 0 0 0 0
129.0 2 1 0 0
128.5 0 0 1 0
128.0 0 0 0 0
127.5 2 1 0 0
127.0 0 0 0 0
126.5 2 0 0 0
126.0 0 0 1 0
125.5 3 0 1 0
125.0 0 0 1 0
124.5 0 0 0 0
124.0 4 0 1 0
123.5 0 0 0 0
123.0 3 1 2 1
122.5 0 0 0 0
122.0 2 1 1 0
121.5 2 0 2 0
121.0 0 0 0 0
120.5 1 2 3 0
120.0 0 0 0 0
119.5 6 2 3 0
119.0 1 0 1 0
118.5 4 0 0 0
118.0 3 1 2 1
117.5 0 0 0 0
117.0 4 1 2 1
116.5 0 0 0 0
116.0 7 2 5 2
115.5 0 0 4 1
115.0 2 2 1 1
114.5 2 0 5 2
114.0 1 0 0 1
113.5 4 0 8 2
113.0 1 0 1 0
112.5 11 4 2 0
112.0 4 1 4 0
111.5 7 1 1 0
111.0 5 1 7 2
110.5 2 1 1 0
110.0 14 2 3 0
109.5 5 0 2 0
109.0 14 3 1 1
108.5 4 1 8 1
108.0 10 1 1 0
107.5 11 1 11 2
107.0 2 0 0 0
106.5 22 5 11 3
106.0 1 0 2 1
105.5 20 5 6 2
105.0 3 1 10 2
104.5 7 2 1 0
104.0 8 4 14 1
103.5 1 0 2 2
103.0 18 5 5 2
102.5 3 1 8 1
102.0 24 4 4 0
101.5 8 0 10 2
101.0 13 4 2 1
100.5 17 6 16 6
100.0 0 0 6 0
99.5 17 6 10 5
99.0 2 2 14 3
98.5 18 12 3 2
98.0 14 3 11 3
97.5 7 5 3 1
97.0 30 7 16 2
96.5 0 0 1 1
96.0 32 6 16 6
95.5 9 5 16 3
95.0 22 13 4 4
94.5 21 6 17 4
94.0 8 2 4 2
93.5 30 14 12 4
93.0 8 4 12 3
92.5 21 15 8 6
92.0 17 2 23 1
91.5 18 7 3 6
91.0 27 9 10 2
90.5 9 1 8 3
90.0 37 13 16 8
89.5 15 2 13 2
89.0 32 18 8 6
88.5 27 4 24 5
88.0 19 4 10 4
87.5 29 8 21 7
87.0 7 5 7 4
86.5 35 23 11 4
86.0 13 6 17 5
85.5 24 16 12 7
85.0 20 6 23 5
84.5 12 4 11 4
84.0 47 18 14 4
83.5 11 6 8 3
83.0 44 31 14 6
82.5 32 5 18 6
82.0 23 18 17 11
81.5 27 14 31 6
81.0 20 9 11 6
80.5 55 26 18 10
80.0 18 5 18 6
79.5 26 23 17 5
79.0 26 8 29 5
78.5 25 13 9 5
78.0 45 16 18 14
77.5 17 7 14 11
77.0 41 34 22 11
76.5 28 7 18 3
76.0 28 21 18 11
75.5 32 14 19 6
75.0 19 7 10 6
74.5 42 19 20 10
74.0 29 11 20 5
73.5 29 13 18 11
73.0 25 12 25 8
72.5 27 20 19 8
72.0 45 21 36 10
71.5 23 11 18 10
71.0 47 28 16 7
70.5 26 12 21 4
70.0 31 19 19 3
69.5 31 9 14 4
69.0 38 16 12 6
68.5 34 21 26 4
68.0 29 14 16 6
67.5 29 21 21 4
67.0 40 10 22 2
66.5 35 15 16 6
66.0 37 9 24 6
65.5 24 13 16 11
65.0 32 20 15 6
64.5 16 6 23 3
64.0 26 12 21 1
63.5 19 10 17 4
63.0 23 10 22 2
62.5 29 24 25 5
62.0 13 4 20 1
61.5 23 7 16 4
61.0 18 8 26 1
60.5 25 7 16 1
60.0 42 16 28 3
59.5 20 16 17 3
59.0 15 14 11 2
58.5 19 6 18 2
58.0 17 11 10 2
57.5 18 10 10 4
57.0 11 4 14 5
56.5 25 7 10 3
56.0 15 10 4 3
55.5 14 7 9 1
55.0 13 3 12 1
54.5 13 7 10 2
54.0 25 11 21 9
53.5 12 2 8 2
53.0 12 5 9 2
52.5 14 2 12 0
52.0 9 2 17 1
51.5 15 6 6 0
51.0 14 4 10 0
50.5 7 2 16 1
50.0 6 3 9 3
49.5 14 5 12 4
49.0 15 3 3 3
48.5 7 4 9 1
48.0 15 4 14 2
47.5 8 4 2 1
47.0 7 2 6 0
46.5 5 0 8 2
46.0 6 1 3 1
45.5 3 4 5 0
45.0 5 1 10 3
44.5 8 1 6 1
44.0 6 3 1 1
43.5 4 1 5 2
43.0 2 1 2 0
42.5 4 0 1 1
42.0 18 4 12 4
41.5 6 0 4 2
41.0 1 0 2 1
40.5 3 2 3 0
40.0 5 1 6 0
39.5 0 1 3 0
39.0 3 3 2 1
38.5 7 3 2 0
38.0 0 3 6 1
37.5 2 0 1 0
37.0 4 1 1 0
36.5 0 1 2 0
36.0 21 5 8 1
35.5 5 1 0 0
35.0 2 1 1 0
34.5 1 0 1 0
34.0 0 1 2 0
33.5 0 0 0 0
33.0 0 0 0 0
32.5 3 1 0 1
32.0 0 0 4 0
31.5 1 2 2 0
31.0 1 0 0 0
30.5 1 0 1 1
30.0 12 3 10 0
29.5 2 0 2 0
29.0 0 0 1 0
28.5 0 1 1 0
28.0 1 0 0 0
27.5 0 0 0 0
27.0 0 0 0 0
26.5 0 2 1 0
26.0 0 0 0 0
25.5 1 1 1 0
25.0 0 0 0 0
24.5 1 0 1 0
24.0 2 1 10 0
23.5 0 0 0 0
23.0 2 0 0 0
22.5 0 0 1 0
22.0 1 0 0 1
21.5 0 0 0 0
21.0 0 0 1 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 3 2
17.5 0 0 0 0
17.0 0 0 1 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 1 0 0 0
14.0 0 0 0 0
13.5 0 0 1 0
13.0 0 0 0 0
12.5 0 0 0 0
12.0 0 0 2 0
11.5 0 0 0 0
11.0 1 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 1 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 Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 1 0 100.0 3 1
149.5 0 0 124.5 0 0 99.5 4 5
149.0 0 0 124.0 1 0 99.0 10 4
148.5 0 0 123.5 0 0 98.5 1 1
148.0 0 0 123.0 2 0 98.0 8 3
147.5 0 0 122.5 0 0 97.5 2 1
147.0 0 0 122.0 1 0 97.0 11 5
146.5 0 0 121.5 2 0 96.5 1 0
146.0 0 0 121.0 0 0 96.0 11 5
145.5 0 0 120.5 2 1 95.5 10 6
145.0 0 0 120.0 0 0 95.0 3 1
144.5 0 0 119.5 2 1 94.5 12 4
144.0 2 0 119.0 0 1 94.0 3 1
143.5 0 0 118.5 0 0 93.5 5 7
143.0 0 0 118.0 2 0 93.0 7 5
142.5 0 0 117.5 0 0 92.5 4 4
142.0 0 0 117.0 1 1 92.0 13 10
141.5 0 0 116.5 0 0 91.5 2 1
141.0 0 0 116.0 3 2 91.0 6 4
140.5 0 0 115.5 1 1 90.5 2 6
140.0 0 0 115.0 1 0 90.0 6 9
139.5 1 0 114.5 4 0 89.5 8 1
139.0 0 0 114.0 0 0 89.0 2 5
138.5 0 0 113.5 5 3 88.5 12 10
138.0 1 0 113.0 1 0 88.0 5 4
137.5 0 0 112.5 0 2 87.5 10 9
137.0 0 1 112.0 3 1 87.0 4 3
136.5 0 0 111.5 0 1 86.5 9 1
136.0 0 0 111.0 5 1 86.0 9 6
135.5 0 0 110.5 0 1 85.5 7 4
135.0 0 0 110.0 1 2 85.0 14 6
134.5 0 0 109.5 1 1 84.5 3 6
134.0 0 0 109.0 1 0 84.0 3 10
133.5 0 1 108.5 3 5 83.5 2 5
133.0 0 0 108.0 0 0 83.0 8 6
132.5 0 0 107.5 5 5 82.5 13 4
132.0 0 0 107.0 0 0 82.0 6 9
131.5 0 0 106.5 9 2 81.5 19 10
131.0 1 0 106.0 2 0 81.0 9 2
130.5 0 0 105.5 3 2 80.5 11 7
130.0 0 0 105.0 5 5 80.0 9 6
129.5 0 0 104.5 1 0 79.5 7 9
129.0 0 0 104.0 10 4 79.0 15 14
128.5 1 0 103.5 1 1 78.5 3 6
128.0 0 0 103.0 1 4 78.0 4 13
127.5 0 0 102.5 7 1 77.5 9 4
127.0 0 0 102.0 2 2 77.0 5 16
126.5 0 0 101.5 8 1 76.5 6 12
126.0 1 0 101.0 0 1 76.0 7 8
125.5 1 0 100.5 13 3 75.5 7 8
American Mathematics Competitions
2003 AMC 10 A Results for Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 6 50.0 4 5 25.0 0 0
74.5 13 6 49.5 5 7 24.5 0 1
74.0 9 11 49.0 0 3 24.0 5 4
73.5 8 9 48.5 5 4 23.5 0 0
73.0 11 11 48.0 8 6 23.0 0 0
72.5 7 10 47.5 1 1 22.5 1 0
72.0 20 14 47.0 4 2 22.0 0 0
71.5 10 6 46.5 4 3 21.5 0 0
71.0 5 11 46.0 2 1 21.0 0 1
70.5 11 8 45.5 2 2 20.5 0 0
70.0 4 9 45.0 5 5 20.0 0 0
69.5 9 5 44.5 4 1 19.5 0 0
69.0 4 6 44.0 1 0 19.0 0 0
68.5 15 10 43.5 2 3 18.5 0 0
68.0 6 9 43.0 1 1 18.0 2 1
67.5 6 13 42.5 1 0 17.5 0 0
67.0 7 14 42.0 6 6 17.0 0 1
66.5 6 10 41.5 2 2 16.5 0 0
66.0 15 8 41.0 1 1 16.0 0 0
65.5 9 5 40.5 0 2 15.5 0 0
65.0 5 9 40.0 4 2 15.0 0 0
64.5 11 11 39.5 0 3 14.5 0 0
64.0 11 6 39.0 0 2 14.0 0 0
63.5 9 7 38.5 1 1 13.5 0 1
63.0 12 8 38.0 3 2 13.0 0 0
62.5 11 12 37.5 0 1 12.5 0 0
62.0 15 4 37.0 1 0 12.0 1 1
61.5 6 9 36.5 1 1 11.5 0 0
61.0 9 15 36.0 3 4 11.0 0 0
60.5 7 9 35.5 0 0 10.5 0 0
60.0 10 16 35.0 0 1 10.0 0 0
59.5 5 12 34.5 0 1 9.5 0 0
59.0 8 2 34.0 0 2 9.0 0 0
58.5 9 8 33.5 0 0 8.5 0 0
58.0 6 4 33.0 0 0 8.0 0 0
57.5 4 5 32.5 0 0 7.5 0 0
57.0 5 9 32.0 0 3 7.0 0 0
56.5 3 6 31.5 1 1 6.5 0 0
56.0 2 2 31.0 0 0 6.0 1 0
55.5 2 7 30.5 1 0 5.5 0 0
55.0 4 7 30.0 7 3 5.0 0 0
54.5 4 5 29.5 1 1 4.5 0 0
54.0 11 7 29.0 1 0 4.0 0 0
53.5 2 6 28.5 1 0 3.5 0 0
53.0 4 5 28.0 0 0 3.0 0 0
52.5 4 8 27.5 0 0 2.5 0 0
52.0 5 12 27.0 0 0 2.0 0 0
51.5 2 4 26.5 0 0 1.5 0 0
51.0 5 5 26.0 0 0 1.0 0 0
50.5 6 8 25.5 1 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for Virginia
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 1 1 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 1 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 1 0 0
137.5 0 0 0 0 0 0 0
137.0 0 0 0 0 1 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 1 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 1 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 1 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 1 0 0
125.5 0 0 0 0 0 1 0
125.0 0 0 0 0 1 0 0
124.5 0 0 0 0 0 0 0
124.0 0 0 0 1 0 0 0
123.5 0 0 0 0 0 0 0
123.0 0 0 0 0 2 0 0
122.5 0 0 0 0 0 0 0
122.0 0 0 0 0 1 0 0
121.5 0 0 0 0 2 0 0
121.0 0 0 0 0 0 0 0
120.5 0 0 0 1 0 2 0
120.0 0 0 0 0 0 0 0
119.5 0 0 0 0 1 2 0
119.0 0 0 0 0 0 1 0
118.5 0 0 0 0 0 0 0
118.0 0 0 0 0 1 1 0
117.5 0 0 0 0 0 0 0
117.0 0 0 0 0 2 0 0
116.5 0 0 0 0 0 0 0
116.0 0 0 0 0 5 0 0
115.5 0 0 0 1 3 0 0
115.0 0 0 0 0 1 0 0
114.5 0 0 0 0 3 1 1
114.0 0 0 0 0 0 0 0
113.5 0 0 0 2 2 4 0
113.0 0 0 1 0 0 0 0
112.5 0 0 0 1 0 1 0
112.0 0 0 0 0 2 2 0
111.5 0 0 0 0 0 1 0
111.0 0 0 0 1 2 3 1
110.5 0 0 0 1 0 0 0
110.0 0 0 0 0 1 2 0
109.5 0 0 0 0 2 0 0
109.0 0 0 0 0 0 1 0
108.5 0 0 0 0 2 6 0
108.0 0 0 0 0 1 0 0
107.5 0 0 0 2 4 5 0
107.0 0 0 0 0 0 0 0
106.5 0 0 0 0 2 9 0
106.0 0 0 0 0 2 0 0
105.5 0 0 0 0 3 3 0
105.0 0 0 0 2 4 4 0
104.5 0 0 0 0 1 0 0
104.0 0 0 0 0 4 10 0
103.5 0 0 0 0 1 1 0
103.0 0 0 0 0 4 1 0
102.5 0 0 0 1 3 4 0
102.0 0 0 0 1 1 2 0
101.5 0 0 0 2 4 4 0
101.0 0 0 0 0 0 1 1
100.5 0 0 0 0 7 9 0
100.0 0 0 0 0 3 3 0
99.5 0 0 0 2 5 3 0
99.0 0 0 0 0 6 8 0
98.5 0 0 0 1 0 2 0
98.0 0 0 0 0 2 9 0
97.5 0 0 0 1 1 1 0
97.0 0 0 0 1 6 9 0
96.5 0 0 0 0 1 0 0
96.0 0 0 1 0 8 7 0
95.5 0 0 0 1 10 5 0
95.0 0 0 0 0 4 0 0
94.5 0 0 0 0 8 9 0
94.0 0 0 0 0 2 2 0
93.5 0 0 0 1 4 7 0
93.0 0 0 0 1 4 7 0
92.5 0 0 1 0 5 2 0
92.0 0 0 0 2 10 11 0
91.5 0 0 0 0 2 1 0
91.0 0 0 0 1 4 5 0
90.5 0 0 0 0 2 6 0
90.0 0 0 0 2 7 7 0
89.5 0 0 0 2 6 5 0
89.0 0 0 0 1 7 0 0
88.5 0 0 0 0 13 9 2
88.0 0 0 0 2 3 5 0
87.5 0 0 0 1 3 16 1
87.0 0 0 0 2 2 3 0
86.5 0 0 0 1 7 3 0
86.0 0 0 0 0 5 12 0
85.5 0 0 0 1 9 2 0
85.0 0 0 0 1 10 11 1
84.5 0 0 0 1 2 7 1
84.0 0 0 0 0 7 7 0
83.5 0 0 0 1 4 3 0
83.0 0 0 0 0 7 7 0
82.5 0 0 0 2 7 9 0
82.0 0 0 0 1 6 10 0
81.5 0 0 0 2 9 20 0
81.0 0 0 0 1 2 8 0
80.5 0 0 0 1 11 6 0
80.0 0 0 0 0 5 12 1
79.5 0 0 0 1 8 7 1
79.0 0 0 0 1 10 18 0
78.5 0 0 0 0 3 6 0
78.0 0 0 0 1 6 11 0
77.5 0 0 0 1 5 8 0
77.0 0 0 0 1 7 14 0
76.5 0 0 0 0 8 10 0
76.0 0 0 0 1 8 9 0
75.5 0 0 0 1 6 12 0
75.0 0 0 0 1 5 4 0
74.5 0 0 0 0 9 9 2
74.0 0 0 0 0 10 10 0
73.5 0 0 0 0 6 11 1
73.0 0 0 0 2 13 8 2
72.5 0 0 0 0 10 9 0
72.0 0 0 0 0 14 22 0
71.5 0 0 0 0 14 4 0
71.0 0 0 0 0 6 10 0
70.5 0 0 0 0 7 13 1
70.0 0 0 0 0 5 13 1
69.5 0 0 0 0 9 5 0
69.0 0 0 0 0 6 6 0
68.5 0 0 0 0 13 13 0
68.0 0 0 0 0 3 13 0
67.5 0 0 0 0 10 11 0
67.0 0 0 0 0 12 10 0
66.5 0 0 0 1 6 9 0
66.0 0 0 0 1 10 13 0
65.5 0 0 0 0 7 9 0
65.0 0 0 0 0 5 10 0
64.5 0 0 0 2 10 10 1
64.0 0 0 0 0 10 11 0
63.5 0 0 0 0 8 9 0
63.0 0 0 0 0 10 11 1
62.5 0 0 0 2 9 14 0
62.0 0 0 0 1 5 14 0
61.5 0 0 0 2 6 8 0
61.0 0 0 0 1 9 16 0
60.5 0 0 0 1 7 8 0
60.0 0 0 0 0 11 17 0
59.5 0 0 0 0 9 7 1
59.0 0 0 0 0 2 9 0
58.5 0 0 0 0 10 7 1
58.0 0 0 0 1 6 3 0
57.5 0 0 0 0 5 5 0
57.0 0 0 0 1 6 7 0
56.5 0 0 0 0 6 4 0
56.0 0 0 0 0 1 3 0
55.5 0 0 0 0 3 5 1
55.0 0 0 0 0 4 8 0
54.5 0 0 0 0 4 6 0
54.0 0 0 0 0 11 9 1
53.5 0 0 0 0 4 4 0
53.0 0 0 0 0 2 7 0
52.5 0 0 0 0 6 6 0
52.0 0 0 0 0 6 11 0
51.5 0 0 0 0 3 3 0
51.0 0 0 0 1 3 6 0
50.5 0 0 0 0 5 10 1
50.0 0 0 0 0 3 6 0
49.5 0 0 0 0 10 2 0
49.0 0 0 0 0 1 2 0
48.5 0 0 0 0 4 5 0
48.0 0 0 0 0 3 11 0
47.5 0 0 0 1 0 1 0
47.0 0 0 0 0 2 4 0
46.5 0 0 0 0 4 3 1
46.0 0 0 0 0 1 2 0
45.5 0 0 0 0 1 4 0
45.0 0 0 0 0 4 6 0
44.5 0 0 0 0 2 3 1
44.0 0 0 0 0 1 0 0
43.5 0 0 0 0 4 1 0
43.0 0 0 0 0 0 2 0
42.5 0 0 0 0 0 1 0
42.0 0 0 0 1 5 6 0
41.5 0 0 0 0 3 1 0
41.0 0 0 0 0 0 2 0
40.5 0 0 0 0 2 1 0
40.0 0 0 0 0 2 4 0
39.5 0 0 0 0 1 2 0
39.0 0 0 0 0 1 1 0
38.5 0 0 0 0 0 2 0
38.0 0 0 0 0 1 5 0
37.5 0 0 0 0 0 1 0
37.0 0 0 0 0 1 0 0
36.5 0 0 0 0 1 1 0
36.0 0 0 0 0 1 5 2
35.5 0 0 0 0 0 0 0
35.0 0 0 0 0 0 1 0
34.5 0 0 0 0 1 0 0
34.0 0 0 0 0 1 1 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 1 2 1
31.5 0 0 0 0 1 1 0
31.0 0 0 0 0 0 0 0
30.5 0 0 0 0 1 0 0
30.0 0 0 0 1 1 8 0
29.5 0 0 0 0 1 0 1
29.0 0 0 0 0 1 0 0
28.5 0 0 0 0 0 1 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 1 0 0
26.0 0 0 0 0 0 0 0
25.5 0 0 0 0 1 0 0
25.0 0 0 0 0 0 0 0
24.5 0 0 0 0 1 0 0
24.0 0 0 0 0 5 5 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 1 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 1 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 2 1 0
17.5 0 0 0 0 0 0 0
17.0 0 0 0 0 1 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 1 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 2 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 1 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 Virginia
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 0.52 2.15 0.80 4.26* 0.50 1.77 0.00
2 0.05 8.49* 0.13 1.02 0.03 0.28 0.00
3 0.60 2.30 0.54 3.73* 0.31 2.51 0.01
4 4.78* 0.26 0.26 3.13 0.10 1.47 0.00
5 0.82 5.77* 0.18 0.08 0.14 3.01 0.00
6 1.68 1.82 2.71* 0.61 0.87 2.30 0.00
7 1.52 2.58* 1.01 1.60 0.40 2.90 0.01
8 1.30 0.69 0.27 0.32 6.22* 1.20 0.01
9 2.25* 0.44 1.67 1.60 0.12 3.92 0.01
10 0.64 0.48 0.77 1.41 4.02* 2.67 0.01
11 0.34 0.13 0.25 0.20 6.73* 2.36 0.00
12 3.01* 2.82 0.24 0.86 0.88 2.20 0.00
13 5.95* 0.29 0.46 0.23 0.06 3.02 0.00
14 1.70* 1.28 0.37 0.93 1.27 4.45 0.00
15 0.81 1.79 3.85* 0.68 0.58 2.27 0.01
16 0.89 0.86 2.47* 0.20 0.88 4.71 0.00
17 0.58 0.76* 0.24 0.31 0.43 7.68 0.00
18 0.69 0.51* 0.25 0.59 0.72 7.22 0.01
19 0.27 0.35 0.53* 0.17 0.19 8.49 0.00
20 0.58 0.31 0.44 0.31 0.58* 7.78 0.00
21 0.56 0.50 1.15 1.90* 2.28 3.61 0.00
22 0.94 2.39* 0.60 0.21 0.10 5.76 0.00
23 0.34 0.27 0.99* 0.55 0.70 7.15 0.00
24 0.22 0.36 0.59 0.70 4.29* 3.84 0.00
25 0.19 0.53* 0.38 0.18 0.27 8.44 0.01
(*) 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 Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 3 0 125.0 0 0 100.0 0 0
149.5 0 0 124.5 0 0 99.5 6 10
149.0 0 0 124.0 4 0 99.0 1 0
148.5 0 0 123.5 0 0 98.5 10 7
148.0 0 0 123.0 3 0 98.0 8 6
147.5 0 0 122.5 0 0 97.5 3 4
147.0 0 0 122.0 2 0 97.0 23 5
146.5 0 0 121.5 2 0 96.5 0 0
146.0 0 0 121.0 0 0 96.0 23 8
145.5 0 0 120.5 0 1 95.5 5 4
145.0 0 0 120.0 0 0 95.0 13 8
144.5 0 0 119.5 4 2 94.5 17 3
144.0 5 0 119.0 1 0 94.0 5 3
143.5 0 0 118.5 4 0 93.5 19 11
143.0 0 0 118.0 1 2 93.0 6 2
142.5 0 0 117.5 0 0 92.5 13 8
142.0 0 0 117.0 4 0 92.0 9 8
141.5 0 0 116.5 0 0 91.5 11 7
141.0 0 0 116.0 6 1 91.0 15 12
140.5 0 0 115.5 0 0 90.5 7 1
140.0 0 0 115.0 2 0 90.0 20 14
139.5 0 0 114.5 2 0 89.5 9 6
139.0 0 0 114.0 1 0 89.0 19 13
138.5 0 0 113.5 3 1 88.5 16 9
138.0 1 0 113.0 1 0 88.0 7 10
137.5 0 0 112.5 11 0 87.5 18 10
137.0 1 0 112.0 4 0 87.0 4 2
136.5 0 0 111.5 5 2 86.5 19 14
136.0 0 0 111.0 4 1 86.0 9 4
135.5 0 0 110.5 2 0 85.5 14 8
135.0 0 0 110.0 13 1 85.0 13 7
134.5 0 0 109.5 5 0 84.5 4 7
134.0 0 0 109.0 9 4 84.0 30 14
133.5 0 0 108.5 4 0 83.5 5 6
133.0 0 0 108.0 6 4 83.0 23 19
132.5 0 1 107.5 8 2 82.5 19 10
132.0 2 0 107.0 2 0 82.0 9 14
131.5 0 0 106.5 20 2 81.5 12 13
131.0 2 0 106.0 0 1 81.0 12 8
130.5 0 0 105.5 15 5 80.5 30 24
130.0 1 0 105.0 2 1 80.0 6 9
129.5 0 0 104.5 5 2 79.5 12 12
129.0 1 1 104.0 6 2 79.0 13 10
128.5 0 0 103.5 1 0 78.5 12 10
128.0 0 0 103.0 13 4 78.0 27 17
127.5 2 0 102.5 3 0 77.5 6 10
127.0 0 0 102.0 19 5 77.0 18 19
126.5 2 0 101.5 5 3 76.5 15 10
126.0 0 0 101.0 10 3 76.0 7 18
125.5 3 0 100.5 13 3 75.5 18 13
American Mathematics Competitions
2003 AMC 12 A Results for Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 7 10 50.0 2 3 25.0 0 0
74.5 21 19 49.5 3 10 24.5 0 1
74.0 16 13 49.0 3 12 24.0 0 2
73.5 12 16 48.5 3 3 23.5 0 0
73.0 11 14 48.0 7 8 23.0 1 1
72.5 12 14 47.5 5 3 22.5 0 0
72.0 23 21 47.0 4 2 22.0 1 0
71.5 13 8 46.5 2 3 21.5 0 0
71.0 18 27 46.0 2 4 21.0 0 0
70.5 13 11 45.5 1 2 20.5 0 0
70.0 11 20 45.0 1 4 20.0 0 0
69.5 16 13 44.5 2 4 19.5 0 0
69.0 14 23 44.0 2 4 19.0 0 0
68.5 15 18 43.5 2 2 18.5 0 0
68.0 15 12 43.0 0 2 18.0 0 0
67.5 10 16 42.5 1 3 17.5 0 0
67.0 19 17 42.0 7 9 17.0 0 0
66.5 9 25 41.5 4 2 16.5 0 0
66.0 19 15 41.0 0 1 16.0 0 0
65.5 8 14 40.5 1 2 15.5 0 0
65.0 7 21 40.0 0 5 15.0 0 0
64.5 6 10 39.5 0 0 14.5 0 1
64.0 9 17 39.0 0 3 14.0 0 0
63.5 12 7 38.5 1 5 13.5 0 0
63.0 9 13 38.0 0 0 13.0 0 0
62.5 14 14 37.5 0 2 12.5 0 0
62.0 5 8 37.0 2 1 12.0 0 0
61.5 5 17 36.5 0 0 11.5 0 0
61.0 4 13 36.0 6 13 11.0 0 1
60.5 9 14 35.5 3 2 10.5 0 0
60.0 21 19 35.0 0 2 10.0 0 0
59.5 6 11 34.5 0 1 9.5 0 0
59.0 10 4 34.0 0 0 9.0 0 0
58.5 10 6 33.5 0 0 8.5 0 0
58.0 9 5 33.0 0 0 8.0 0 0
57.5 6 11 32.5 1 2 7.5 0 0
57.0 2 7 32.0 0 0 7.0 0 0
56.5 11 12 31.5 0 1 6.5 0 0
56.0 9 5 31.0 0 1 6.0 0 0
55.5 3 10 30.5 1 0 5.5 0 0
55.0 5 7 30.0 4 8 5.0 0 0
54.5 3 10 29.5 1 1 4.5 0 0
54.0 13 12 29.0 0 0 4.0 0 0
53.5 3 8 28.5 0 0 3.5 0 0
53.0 2 8 28.0 0 0 3.0 0 0
52.5 6 8 27.5 0 0 2.5 0 0
52.0 3 6 27.0 0 0 2.0 0 0
51.5 7 4 26.5 0 0 1.5 0 0
51.0 5 8 26.0 0 0 1.0 0 0
50.5 2 5 25.5 0 1 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for Virginia
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 0 0 0 0 0 0 1 2 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 2 2 1 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 1 0 0 0
137.5 0 0 0 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 1 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 1 0 0 0 0 0
132.0 0 0 0 0 0 0 2 0 0 0
131.5 0 0 0 0 0 0 0 0 0 0
131.0 0 0 0 0 1 0 1 0 0 0
130.5 0 0 0 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0 1 0 0
129.5 0 0 0 0 0 0 0 0 0 0
129.0 0 0 0 0 0 1 1 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 2 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 3 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 1 1 0 2 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 1 2 0 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 1 0 1 0 0
121.5 0 0 0 0 1 0 0 1 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 0 1 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 2 2 2 0 0
119.0 0 0 0 0 0 0 0 1 0 0
118.5 0 0 0 0 0 1 1 2 0 0
118.0 0 0 0 0 0 0 2 1 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 2 0 2 0 0
116.5 0 0 0 0 0 0 0 0 0 0
116.0 0 0 0 0 1 2 1 3 0 0
115.5 0 0 0 0 0 0 0 0 0 0
115.0 0 0 0 0 0 0 1 1 0 0
114.5 0 0 0 0 1 0 0 1 0 0
114.0 0 0 0 0 0 1 0 0 0 0
113.5 0 0 0 0 0 0 2 2 0 0
113.0 0 0 0 0 0 0 0 1 0 0
112.5 0 0 0 0 0 1 5 5 0 0
112.0 0 0 0 0 0 1 2 1 0 0
111.5 0 0 0 0 0 1 4 2 0 0
111.0 0 0 0 0 1 0 2 2 0 0
110.5 0 0 0 0 0 0 1 1 0 0
110.0 0 0 0 0 0 2 3 9 0 0
109.5 0 0 0 0 0 0 1 4 0 0
109.0 0 0 0 0 1 2 7 4 0 0
108.5 0 0 0 0 0 1 0 3 0 0
108.0 0 0 0 0 0 0 2 8 0 0
107.5 0 0 0 0 0 1 4 6 0 0
107.0 0 0 0 0 0 0 1 1 0 0
106.5 0 0 0 0 0 3 10 9 0 0
106.0 0 0 0 0 0 0 1 0 0 0
105.5 0 0 0 0 2 3 5 10 0 0
105.0 0 0 0 0 0 1 1 1 0 0
104.5 0 0 0 0 1 0 2 4 0 0
104.0 0 0 0 0 1 0 4 3 0 0
103.5 0 0 0 0 0 0 1 0 0 0
103.0 0 0 0 0 0 3 6 9 0 0
102.5 0 0 0 0 0 0 2 1 0 0
102.0 0 0 0 0 0 5 10 9 0 0
101.5 0 0 0 0 0 1 4 3 0 0
101.0 0 0 0 0 0 2 3 8 0 0
100.5 0 0 0 0 1 1 12 3 0 0
100.0 0 0 0 0 0 0 0 0 0 0
99.5 0 0 0 0 0 3 8 6 0 0
99.0 0 0 0 0 0 0 1 0 0 1
98.5 0 0 0 0 0 1 8 9 0 0
98.0 0 0 0 0 0 0 7 7 0 0
97.5 0 0 0 0 0 2 4 1 0 0
97.0 0 0 0 0 0 5 15 10 0 0
96.5 0 0 0 0 0 0 0 0 0 0
96.0 0 0 0 0 1 5 13 13 0 0
95.5 0 0 0 0 0 1 3 5 0 0
95.0 0 0 0 0 1 4 6 9 0 2
94.5 0 0 0 0 0 2 14 5 0 0
94.0 0 0 0 0 0 1 5 2 0 0
93.5 0 0 0 0 0 3 18 9 0 0
93.0 0 0 0 0 0 1 3 4 0 0
92.5 0 0 0 0 0 4 9 8 0 0
92.0 0 0 0 0 0 1 9 7 0 0
91.5 0 0 0 0 0 0 7 11 0 0
91.0 0 0 0 0 1 5 9 12 0 0
90.5 0 0 0 0 0 1 2 6 0 0
90.0 0 0 0 0 0 4 14 19 0 0
89.5 0 0 0 0 0 3 8 3 0 1
89.0 0 0 0 0 1 5 9 17 0 0
88.5 0 0 0 0 0 1 7 18 0 1
88.0 0 0 0 0 1 1 12 5 0 0
87.5 0 0 0 0 0 3 13 13 0 0
87.0 0 0 0 0 0 0 3 4 0 0
86.5 0 0 0 0 0 6 14 15 0 0
86.0 0 0 0 0 0 0 9 4 0 0
85.5 0 0 0 0 0 4 11 8 0 1
85.0 0 0 0 0 1 3 9 7 0 0
84.5 0 0 0 0 0 2 2 8 0 0
84.0 0 0 0 0 1 7 23 14 0 2
83.5 0 0 0 0 0 0 6 5 0 0
83.0 0 0 0 0 1 9 13 21 0 0
82.5 0 0 0 0 2 2 15 13 0 0
82.0 0 0 0 0 1 1 14 7 0 0
81.5 0 0 0 0 0 6 13 7 0 1
81.0 0 0 0 0 1 6 8 5 0 0
80.5 0 0 0 0 2 8 22 23 0 0
80.0 0 0 0 0 0 1 8 7 0 2
79.5 0 0 0 0 0 4 12 8 0 2
79.0 0 0 0 0 0 4 11 11 0 0
78.5 0 0 0 0 0 3 10 11 0 1
78.0 0 0 0 0 0 3 22 20 0 0
77.5 0 0 0 0 0 2 8 6 0 1
77.0 0 0 0 0 0 9 13 17 0 2
76.5 0 0 0 0 1 3 17 7 0 0
76.0 0 0 0 0 3 7 10 7 0 1
75.5 0 0 0 0 2 6 15 8 0 1
75.0 0 0 0 0 0 1 9 7 0 2
74.5 0 0 0 0 0 3 25 14 0 0
74.0 0 0 0 0 1 4 14 10 0 0
73.5 0 0 0 0 0 1 9 18 0 1
73.0 0 0 0 0 1 4 12 8 0 0
72.5 0 0 0 0 1 4 16 6 0 0
72.0 0 0 0 0 0 6 28 9 0 2
71.5 0 0 0 0 1 0 11 11 0 0
71.0 0 0 0 0 1 13 13 19 0 1
70.5 0 0 0 0 1 0 13 9 0 3
70.0 0 0 0 0 3 6 14 8 0 0
69.5 0 0 0 0 0 5 14 10 0 2
69.0 0 0 0 0 2 8 18 10 0 0
68.5 0 0 0 0 1 3 14 15 0 1
68.0 0 0 0 0 1 7 10 10 0 1
67.5 0 0 0 0 1 3 12 13 0 0
67.0 0 0 0 0 2 6 16 15 0 1
66.5 0 0 0 0 3 1 17 13 0 1
66.0 0 0 0 0 1 1 18 16 0 1
65.5 0 0 0 0 1 3 14 4 0 2
65.0 0 0 0 0 0 7 9 13 0 3
64.5 0 0 0 0 1 1 6 8 0 0
64.0 0 0 0 0 1 6 11 8 0 0
63.5 0 0 0 0 2 0 8 9 0 0
63.0 0 0 0 0 0 4 8 9 0 2
62.5 0 0 0 0 2 2 12 13 0 0
62.0 0 0 0 0 0 5 4 4 0 0
61.5 0 0 0 0 0 1 14 8 0 0
61.0 0 0 0 0 1 2 9 6 0 0
60.5 0 0 0 0 1 5 10 7 0 2
60.0 0 0 0 0 0 7 18 16 0 1
59.5 0 0 0 0 0 1 5 13 0 1
59.0 0 0 0 0 0 1 6 8 0 0
58.5 0 0 0 0 2 1 8 5 0 3
58.0 0 0 0 0 1 3 5 5 0 3
57.5 0 0 0 0 0 2 9 7 0 0
57.0 0 0 0 0 0 1 5 3 0 2
56.5 0 0 0 0 0 3 10 10 0 2
56.0 0 0 0 0 1 3 8 3 0 0
55.5 0 0 0 0 0 1 9 2 0 2
55.0 0 0 0 0 1 4 4 3 0 1
54.5 0 0 0 0 2 3 6 2 0 0
54.0 0 0 0 0 3 2 12 8 0 0
53.5 0 0 0 0 0 4 5 2 0 1
53.0 0 0 0 0 1 0 4 5 0 2
52.5 0 0 0 0 0 0 6 8 0 0
52.0 0 0 0 0 0 3 3 3 0 0
51.5 0 0 0 0 0 1 9 5 0 0
51.0 0 0 0 0 0 1 7 6 0 0
50.5 0 0 0 0 0 2 5 0 0 0
50.0 0 0 0 0 0 1 1 4 0 0
49.5 0 0 0 0 0 1 6 6 0 1
49.0 0 0 0 0 0 1 7 6 0 1
48.5 0 0 0 0 1 1 4 1 0 0
48.0 0 0 0 0 1 1 7 6 0 0
47.5 0 0 0 0 1 0 5 2 0 0
47.0 0 0 0 0 0 0 3 4 0 0
46.5 0 0 0 0 3 0 2 0 0 0
46.0 0 0 0 0 0 0 3 3 0 0
45.5 0 0 0 0 0 1 0 2 0 0
45.0 0 0 0 0 0 1 2 2 0 0
44.5 0 0 0 0 0 0 6 2 0 0
44.0 0 0 0 0 0 0 3 3 0 0
43.5 0 0 0 0 0 0 4 0 0 0
43.0 0 0 0 0 0 0 1 1 0 0
42.5 0 0 0 0 0 1 3 0 0 0
42.0 0 0 0 0 0 4 6 7 0 1
41.5 0 0 0 0 0 1 2 3 0 0
41.0 0 0 0 0 0 0 0 1 0 0
40.5 0 0 0 0 0 1 1 1 0 0
40.0 0 0 0 0 0 1 3 1 0 0
39.5 0 0 0 0 0 0 0 0 0 0
39.0 0 0 0 0 0 0 1 2 0 0
38.5 0 0 0 0 0 1 3 2 0 1
38.0 0 0 0 0 0 0 0 0 0 0
37.5 0 0 0 0 0 0 2 0 0 0
37.0 0 0 0 0 0 0 2 1 0 1
36.5 0 0 0 0 0 0 0 0 0 0
36.0 0 0 0 0 0 2 13 4 0 2
35.5 0 0 0 0 0 1 3 1 0 0
35.0 0 0 0 0 0 1 1 0 0 0
34.5 0 0 0 0 0 0 1 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 1 2 0 0
32.0 0 0 0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 1 0 0 0 0
31.0 0 0 0 0 0 1 0 0 0 0
30.5 0 0 0 0 0 0 0 1 0 0
30.0 0 0 0 0 0 1 6 5 0 0
29.5 0 0 0 0 0 0 0 2 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 1
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 1 0 0 0
25.0 0 0 0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 1 0 0 0
24.0 0 0 0 0 0 0 1 1 0 0
23.5 0 0 0 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 2 0 0 0
22.5 0 0 0 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 1 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 1 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 1 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 Virginia
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 0.47 1.65 0.64 5.29* 0.37 1.57 0.00
2 0.01 9.00* 0.12 0.63 0.02 0.22 0.00
3 0.32 2.37 0.40 4.90* 0.27 1.74 0.00
4 5.57* 0.19 0.21 2.93 0.11 0.99 0.00
5 0.25 0.11 0.14 0.17 7.78* 1.56 0.00
6 1.40 1.82 3.68* 0.54 0.60 1.96 0.00
7 1.80 2.49* 0.90 1.51 0.25 3.06 0.00
8 1.04 0.50 0.26 0.23 7.08* 0.89 0.00
9 0.40 0.75 1.51 3.20* 0.23 3.91 0.00
10 0.42 0.99 0.42 3.33* 0.19 4.65 0.00
11 0.64 0.64 1.25* 0.45 1.02 6.00 0.00
12 0.14 0.27 0.58 0.47 6.54* 1.99 0.00
13 0.48 0.45 0.72 1.15 4.57* 2.62 0.01
14 0.88 0.48 0.51 4.46* 1.05 2.62 0.00
15 0.28 0.32 0.91* 0.19 0.27 8.03 0.00
16 0.60 0.54 4.31* 0.37 0.86 3.33 0.00
17 0.81 1.04* 0.43 0.78 0.29 6.65 0.00
18 0.17 0.55* 0.27 0.25 0.24 8.51 0.00
19 0.72 0.60 1.10 1.31* 0.51 5.75 0.00
20 0.61* 0.37 0.51 1.06 0.19 7.26 0.00
21 0.89 0.38 0.35 0.73* 1.43 6.20 0.01
22 0.67 0.54 0.45* 0.74 0.25 7.34 0.00
23 0.29 0.42* 0.33 0.20 0.26 8.50 0.00
24 0.12 1.85* 0.81 0.24 0.23 6.75 0.00
25 0.66 0.39 0.22* 0.11 1.78 6.84 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 Virginia
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 0 0 99.0 2 1
148.5 0 0 123.5 0 0 98.5 1 1
148.0 0 0 123.0 0 1 98.0 2 0
147.5 0 0 122.5 0 0 97.5 1 0
147.0 0 0 122.0 0 0 97.0 2 0
146.5 0 0 121.5 0 0 96.5 1 0
146.0 0 0 121.0 0 0 96.0 3 2
145.5 0 0 120.5 0 0 95.5 2 1
145.0 0 0 120.0 0 0 95.0 2 2
144.5 0 0 119.5 0 0 94.5 2 1
144.0 0 0 119.0 0 0 94.0 1 1
143.5 0 0 118.5 0 0 93.5 3 1
143.0 0 0 118.0 1 0 93.0 3 0
142.5 0 0 117.5 0 0 92.5 3 3
142.0 0 0 117.0 1 0 92.0 1 0
141.5 0 0 116.5 0 0 91.5 3 2
141.0 0 0 116.0 1 1 91.0 1 0
140.5 0 0 115.5 0 1 90.5 2 0
140.0 0 0 115.0 0 1 90.0 4 3
139.5 0 0 114.5 1 1 89.5 1 1
139.0 0 0 114.0 1 0 89.0 2 4
138.5 0 0 113.5 2 0 88.5 4 0
138.0 0 0 113.0 0 0 88.0 2 2
137.5 0 0 112.5 0 0 87.5 2 5
137.0 0 0 112.0 0 0 87.0 1 3
136.5 0 0 111.5 0 0 86.5 2 1
136.0 0 0 111.0 1 1 86.0 3 2
135.5 0 0 110.5 0 0 85.5 4 3
135.0 0 0 110.0 0 0 85.0 3 2
134.5 0 0 109.5 0 0 84.5 2 2
134.0 0 0 109.0 1 0 84.0 2 1
133.5 0 0 108.5 0 1 83.5 2 1
133.0 0 0 108.0 0 0 83.0 1 5
132.5 0 0 107.5 2 0 82.5 5 1
132.0 0 0 107.0 0 0 82.0 6 5
131.5 0 0 106.5 2 1 81.5 2 3
131.0 1 0 106.0 1 0 81.0 6 0
130.5 0 0 105.5 2 0 80.5 4 6
130.0 0 1 105.0 2 0 80.0 4 2
129.5 0 0 104.5 0 0 79.5 2 3
129.0 0 0 104.0 1 0 79.0 4 1
128.5 0 0 103.5 0 2 78.5 2 2
128.0 0 0 103.0 2 0 78.0 7 6
127.5 0 0 102.5 1 0 77.5 2 8
127.0 0 0 102.0 0 0 77.0 5 5
126.5 0 0 101.5 2 0 76.5 1 2
126.0 0 0 101.0 0 1 76.0 7 4
125.5 0 0 100.5 4 2 75.5 3 3
American Mathematics Competitions
2003 AMC 10 B Results for Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 2 50.0 1 2 25.0 0 0
74.5 4 6 49.5 2 2 24.5 0 0
74.0 3 0 49.0 0 3 24.0 0 0
73.5 3 7 48.5 0 1 23.5 0 0
73.0 2 5 48.0 1 1 23.0 0 0
72.5 4 3 47.5 0 1 22.5 0 0
72.0 2 7 47.0 0 0 22.0 0 1
71.5 4 5 46.5 0 2 21.5 0 0
71.0 2 3 46.0 0 1 21.0 0 0
70.5 0 3 45.5 0 0 20.5 0 0
70.0 2 1 45.0 0 3 20.0 0 0
69.5 1 3 44.5 0 1 19.5 0 0
69.0 1 5 44.0 0 1 19.0 0 0
68.5 2 2 43.5 1 1 18.5 0 0
68.0 3 3 43.0 0 0 18.0 0 1
67.5 1 2 42.5 1 0 17.5 0 0
67.0 0 1 42.0 0 2 17.0 0 0
66.5 2 4 41.5 2 0 16.5 0 0
66.0 3 3 41.0 0 1 16.0 0 0
65.5 2 9 40.5 0 0 15.5 0 0
65.0 4 2 40.0 0 0 15.0 0 0
64.5 1 2 39.5 0 0 14.5 0 0
64.0 0 1 39.0 0 1 14.0 0 0
63.5 2 2 38.5 0 0 13.5 0 0
63.0 1 0 38.0 1 0 13.0 0 0
62.5 3 2 37.5 0 0 12.5 0 0
62.0 1 0 37.0 0 0 12.0 0 0
61.5 0 3 36.5 0 0 11.5 0 0
61.0 0 1 36.0 0 0 11.0 0 0
60.5 0 1 35.5 0 0 10.5 0 0
60.0 2 1 35.0 0 0 10.0 0 0
59.5 0 3 34.5 0 0 9.5 0 0
59.0 0 1 34.0 0 0 9.0 0 0
58.5 0 2 33.5 0 0 8.5 0 0
58.0 0 2 33.0 0 0 8.0 0 0
57.5 1 3 32.5 0 0 7.5 0 0
57.0 2 3 32.0 0 0 7.0 0 0
56.5 3 0 31.5 0 0 6.5 0 0
56.0 1 2 31.0 0 0 6.0 0 0
55.5 1 0 30.5 1 0 5.5 0 0
55.0 0 1 30.0 0 0 5.0 0 0
54.5 1 1 29.5 0 0 4.5 0 0
54.0 4 5 29.0 0 0 4.0 0 0
53.5 0 2 28.5 0 0 3.5 0 0
53.0 1 1 28.0 0 0 3.0 0 0
52.5 0 0 27.5 0 0 2.5 0 0
52.0 0 1 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 B Results for Virginia
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 1 0 0
130.5 0 0 0 0 0 0 0
130.0 0 0 0 0 0 1 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 1 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 0 0
120.0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 0 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 1 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 1 0
115.5 0 0 0 0 1 0 0
115.0 0 0 0 0 1 0 0
114.5 0 0 0 0 0 2 0
114.0 0 0 0 0 1 0 0
113.5 0 0 0 0 0 2 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 2 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 0
109.5 0 0 0 0 0 0 0
109.0 0 0 0 0 0 1 0
108.5 0 0 0 0 0 1 0
108.0 0 0 0 0 0 0 0
107.5 0 0 0 0 0 2 0
107.0 0 0 0 0 0 0 0
106.5 0 0 0 0 1 2 0
106.0 0 0 0 0 1 0 0
105.5 0 0 0 0 1 1 0
105.0 0 0 0 0 1 1 0
104.5 0 0 0 0 0 0 0
104.0 0 0 0 0 0 1 0
103.5 0 0 0 0 0 2 0
103.0 0 0 0 0 1 1 0
102.5 0 0 0 0 0 1 0
102.0 0 0 0 0 0 0 0
101.5 0 0 0 0 0 2 0
101.0 0 0 0 0 0 1 0
100.5 0 0 0 0 5 1 0
100.0 0 0 0 0 0 0 0
99.5 0 0 0 0 3 2 0
99.0 0 0 0 0 1 2 0
98.5 0 0 0 0 1 1 0
98.0 0 0 0 0 1 1 1
97.5 0 0 0 0 1 0 0
97.0 0 0 0 0 2 0 0
96.5 0 0 0 0 0 1 0
96.0 0 0 0 0 2 4 0
95.5 0 0 0 0 0 3 0
95.0 0 0 0 0 2 2 0
94.5 0 0 0 0 1 2 1
94.0 0 0 0 0 0 2 0
93.5 0 0 0 0 1 3 0
93.0 0 0 0 0 1 2 0
92.5 0 0 0 0 4 2 0
92.0 0 0 0 0 1 0 0
91.5 0 0 0 0 4 1 1
91.0 0 0 0 0 1 1 0
90.5 0 0 0 0 2 1 0
90.0 0 0 0 0 4 3 1
89.5 0 0 0 0 2 0 0
89.0 0 0 0 0 3 3 0
88.5 0 0 0 0 2 3 0
88.0 0 0 0 0 3 1 0
87.5 0 0 0 0 4 3 0
87.0 0 0 0 0 1 3 0
86.5 0 0 0 0 2 2 0
86.0 0 0 0 0 4 1 0
85.5 0 0 0 0 4 3 0
85.0 0 0 0 0 2 3 0
84.5 0 0 0 0 3 1 0
84.0 0 0 0 0 2 1 1
83.5 0 0 0 0 3 0 0
83.0 0 0 0 0 2 4 0
82.5 0 0 0 0 4 2 0
82.0 0 0 0 0 7 4 0
81.5 0 0 0 0 2 3 1
81.0 0 0 0 0 5 1 0
80.5 0 0 0 0 5 5 0
80.0 0 0 0 0 5 1 0
79.5 0 0 0 0 2 3 0
79.0 0 0 0 0 2 2 1
78.5 0 0 0 0 2 2 1
78.0 0 0 0 0 8 6 0
77.5 0 0 0 0 5 5 1
77.0 0 0 0 0 6 5 0
76.5 0 0 0 0 3 0 0
76.0 0 0 0 0 7 4 0
75.5 0 0 0 0 4 2 0
75.0 0 0 0 0 3 3 0
74.5 0 0 0 0 6 4 0
74.0 0 0 0 0 2 2 1
73.5 0 0 0 0 5 6 0
73.0 0 0 0 1 3 4 0
72.5 0 0 0 0 5 3 0
72.0 0 0 0 0 5 5 0
71.5 0 0 0 0 4 6 0
71.0 0 0 0 0 1 5 1
70.5 0 0 0 0 2 2 0
70.0 0 0 0 0 1 2 0
69.5 0 0 0 0 2 2 0
69.0 0 0 0 0 4 2 0
68.5 0 0 0 0 4 0 0
68.0 0 0 0 1 4 1 0
67.5 0 0 0 0 1 2 1
67.0 0 0 0 0 1 1 0
66.5 0 0 0 1 2 3 0
66.0 0 0 0 0 2 4 0
65.5 0 0 0 0 6 5 0
65.0 0 0 0 0 3 3 0
64.5 0 0 0 0 1 2 0
64.0 0 0 0 0 1 0 0
63.5 0 0 0 0 1 3 0
63.0 0 0 0 0 2 0 0
62.5 0 0 0 0 3 2 0
62.0 0 0 0 0 1 0 0
61.5 0 0 0 0 2 2 0
61.0 0 0 0 0 0 1 0
60.5 0 0 0 0 1 0 0
60.0 0 0 0 0 2 1 0
59.5 0 0 0 0 1 2 0
59.0 0 0 0 0 1 1 0
58.5 0 0 0 0 0 2 0
58.0 0 0 0 1 1 0 0
57.5 0 0 0 0 2 2 0
57.0 0 0 0 0 2 3 0
56.5 0 0 0 0 2 1 0
56.0 0 0 0 0 2 1 0
55.5 0 0 0 0 1 0 0
55.0 0 0 0 0 0 1 0
54.5 0 0 0 0 2 0 0
54.0 0 0 0 0 4 5 0
53.5 0 0 0 0 0 2 0
53.0 0 0 0 0 2 0 0
52.5 0 0 0 0 0 0 0
52.0 0 0 0 0 0 1 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 1 0 0
50.0 0 0 0 0 0 3 0
49.5 0 0 0 0 3 1 0
49.0 0 0 0 0 2 1 0
48.5 0 0 0 0 1 0 0
48.0 0 0 0 0 0 2 0
47.5 0 0 0 0 1 0 0
47.0 0 0 0 0 0 0 0
46.5 0 0 0 0 1 1 0
46.0 0 0 0 0 0 1 0
45.5 0 0 0 0 0 0 0
45.0 0 0 0 0 2 1 0
44.5 0 0 0 0 1 0 0
44.0 0 0 0 0 1 0 0
43.5 0 0 0 0 1 1 0
43.0 0 0 0 0 0 0 0
42.5 0 0 0 0 1 0 0
42.0 0 0 0 0 1 2 1
41.5 0 0 0 0 2 0 0
41.0 0 0 0 0 0 1 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 1 0 0
38.5 0 0 0 0 0 0 0
38.0 0 0 0 0 1 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 1
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 1
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 1 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 1 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 1 1
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 Virginia
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 0.04 0.13 9.57* 0.07 0.06 0.13 0.00
2 0.11 0.09 1.17 7.85* 0.28 0.50 0.00
3 0.35 6.92* 0.58 0.63 0.09 1.43 0.00
4 7.63* 0.37 0.28 0.15 0.19 1.39 0.00
5 0.20 0.37 3.49* 0.63 1.56 3.75 0.00
6 1.15 2.00 0.37 2.97* 0.35 3.15 0.00
7 0.28 4.75* 0.19 0.98 0.37 3.43 0.00
8 0.11 0.83* 0.41 0.83 0.56 7.25 0.00
9 0.17 2.54* 0.35 0.39 0.28 6.27 0.00
10 0.24 0.32 2.49* 1.22 0.52 5.21 0.00
11 4.86* 0.58 0.30 0.15 0.98 3.12 0.02
12 0.54 0.56 5.49* 0.22 0.32 2.88 0.00
13 2.43 0.43 0.37 0.63 1.22* 4.90 0.02
14 1.32 0.45 0.30 2.54* 0.04 5.36 0.00
15 1.48 2.23 0.24 0.82 2.49* 2.75 0.00
16 0.19 0.30 0.61 0.65 4.71* 3.54 0.00
17 0.20 1.13* 0.52 0.33 0.20 7.61 0.00
18 0.32 1.35 0.37 1.58* 1.52 4.86 0.00
19 0.24 0.20 0.41 0.45 0.26* 8.44 0.00
20 0.15 0.33 0.39 1.67* 1.09 6.36 0.00
21 1.93 0.30 0.50* 1.39 0.46 5.42 0.00
22 1.47 2.19* 1.71 0.61 0.41 3.62 0.00
23 0.48 0.22 0.39 0.98* 0.43 7.50 0.00
24 0.04 0.13 1.80 0.09 0.13* 7.81 0.00
25 0.89 2.43* 0.83 0.32 0.35 5.16 0.02
(*) 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 Virginia
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 5 1
149.0 0 0 124.0 0 0 99.0 1 1
148.5 0 0 123.5 0 0 98.5 9 3
148.0 0 0 123.0 1 0 98.0 3 0
147.5 0 0 122.5 0 0 97.5 3 2
147.0 0 0 122.0 1 0 97.0 7 0
146.5 0 0 121.5 0 0 96.5 0 0
146.0 0 0 121.0 0 0 96.0 5 1
145.5 0 0 120.5 2 0 95.5 3 1
145.0 0 0 120.0 0 0 95.0 8 5
144.5 0 0 119.5 1 1 94.5 6 0
144.0 0 0 119.0 0 0 94.0 2 0
143.5 0 0 118.5 0 0 93.5 12 2
143.0 1 0 118.0 1 0 93.0 3 0
142.5 0 0 117.5 0 0 92.5 12 3
142.0 0 0 117.0 1 0 92.0 2 0
141.5 0 0 116.5 0 0 91.5 5 2
141.0 0 0 116.0 2 0 91.0 6 3
140.5 0 0 115.5 0 0 90.5 0 0
140.0 0 0 115.0 2 0 90.0 9 4
139.5 0 0 114.5 0 0 89.5 2 0
139.0 0 0 114.0 0 0 89.0 14 4
138.5 0 0 113.5 0 0 88.5 3 1
138.0 0 0 113.0 0 0 88.0 2 2
137.5 0 0 112.5 4 0 87.5 6 2
137.0 0 0 112.0 1 0 87.0 5 0
136.5 0 0 111.5 1 0 86.5 13 8
136.0 0 0 111.0 1 0 86.0 3 2
135.5 0 0 110.5 1 0 85.5 13 2
135.0 0 0 110.0 1 1 85.0 4 2
134.5 0 0 109.5 0 0 84.5 2 2
134.0 0 0 109.0 2 0 84.0 12 5
133.5 1 0 108.5 1 0 83.5 4 2
133.0 0 0 108.0 1 0 83.0 22 8
132.5 0 0 107.5 1 0 82.5 3 2
132.0 1 0 107.0 0 0 82.0 8 6
131.5 0 0 106.5 4 1 81.5 10 4
131.0 0 0 106.0 0 0 81.0 5 4
130.5 0 0 105.5 4 1 80.5 16 10
130.0 0 0 105.0 0 0 80.0 2 2
129.5 0 0 104.5 1 0 79.5 13 10
129.0 1 0 104.0 4 0 79.0 5 2
128.5 0 0 103.5 0 0 78.5 8 5
128.0 0 0 103.0 1 4 78.0 9 7
127.5 1 0 102.5 1 0 77.5 3 4
127.0 0 0 102.0 4 0 77.0 20 13
126.5 0 0 101.5 0 0 76.5 4 2
126.0 0 0 101.0 4 0 76.0 11 10
125.5 0 0 100.5 5 1 75.5 4 8
American Mathematics Competitions
2003 AMC 12 B Results for Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 2 50.0 1 2 25.0 0 0
74.5 3 13 49.5 1 4 24.5 0 0
74.0 5 5 49.0 2 1 24.0 0 0
73.5 7 4 48.5 2 2 23.5 0 0
73.0 9 3 48.0 1 2 23.0 0 0
72.5 8 12 47.5 2 2 22.5 0 0
72.0 12 8 47.0 0 2 22.0 0 0
71.5 5 6 46.5 0 0 21.5 0 0
71.0 21 6 46.0 0 1 21.0 0 0
70.5 6 5 45.5 2 2 20.5 0 0
70.0 9 7 45.0 0 1 20.0 0 0
69.5 6 3 44.5 0 1 19.5 0 0
69.0 4 10 44.0 1 2 19.0 0 0
68.5 12 6 43.5 1 0 18.5 0 0
68.0 10 3 43.0 0 1 18.0 0 1
67.5 12 7 42.5 0 0 17.5 0 0
67.0 4 5 42.0 3 1 17.0 0 0
66.5 7 7 41.5 0 0 16.5 0 0
66.0 7 2 41.0 0 0 16.0 0 0
65.5 5 8 40.5 0 2 15.5 0 0
65.0 10 8 40.0 0 1 15.0 0 0
64.5 2 3 39.5 1 0 14.5 0 0
64.0 5 6 39.0 1 2 14.0 0 0
63.5 4 4 38.5 1 2 13.5 0 0
63.0 5 5 38.0 1 1 13.0 0 0
62.5 11 11 37.5 0 0 12.5 0 0
62.0 2 2 37.0 0 1 12.0 0 0
61.5 2 5 36.5 0 1 11.5 0 0
61.0 3 5 36.0 2 2 11.0 0 0
60.5 2 5 35.5 0 1 10.5 0 0
60.0 9 7 35.0 1 0 10.0 0 0
59.5 12 3 34.5 0 0 9.5 0 0
59.0 5 9 34.0 0 1 9.0 0 0
58.5 4 2 33.5 0 0 8.5 0 0
58.0 3 7 33.0 0 0 8.0 0 0
57.5 3 6 32.5 1 0 7.5 0 0
57.0 3 1 32.0 0 0 7.0 0 0
56.5 4 3 31.5 1 1 6.5 0 0
56.0 6 4 31.0 0 0 6.0 0 0
55.5 4 3 30.5 0 0 5.5 0 0
55.0 1 2 30.0 0 2 5.0 0 0
54.5 2 5 29.5 0 0 4.5 0 0
54.0 8 3 29.0 0 0 4.0 0 0
53.5 0 2 28.5 0 1 3.5 0 0
53.0 1 4 28.0 0 0 3.0 0 0
52.5 1 1 27.5 0 0 2.5 0 0
52.0 0 2 27.0 0 0 2.0 0 0
51.5 3 2 26.5 1 1 1.5 0 0
51.0 2 2 26.0 0 0 1.0 0 0
50.5 2 0 25.5 0 1 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 B Results for Virginia
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 1 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 1 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 1 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 1 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 1 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 1 0 0 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0 1 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 1 0 0 0 0 1 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 0 1 1 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 1 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 1 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 2 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 0
113.0 0 0 0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 0 2 2 0 0
112.0 0 0 0 0 0 0 0 1 0 0
111.5 0 0 0 0 0 0 1 0 0 0
111.0 0 0 0 0 0 0 0 1 0 0
110.5 0 0 0 0 0 0 0 1 0 0
110.0 0 0 0 1 0 0 0 1 0 0
109.5 0 0 0 0 0 0 0 0 0 0
109.0 0 0 0 0 0 0 1 2 0 0
108.5 0 0 0 0 0 1 0 0 0 0
108.0 0 0 0 0 0 0 0 1 0 0
107.5 0 0 0 0 0 0 1 0 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 2 0 0 0 3 0 0
106.0 0 0 0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 0 2 3 0 0
105.0 0 0 0 0 0 0 1 0 0 0
104.5 0 0 0 0 0 1 1 0 0 0
104.0 0 0 1 0 0 0 0 3 0 0
103.5 0 0 0 0 0 0 0 0 0 0
103.0 0 0 0 0 1 0 1 3 0 0
102.5 0 0 0 0 0 0 0 1 0 0
102.0 0 0 0 1 0 0 1 2 0 0
101.5 0 0 0 0 0 0 0 0 0 0
101.0 0 0 0 0 0 2 2 0 0 0
100.5 0 0 0 0 0 2 1 3 0 0
100.0 0 0 0 0 0 0 0 0 0 0
99.5 0 0 0 1 0 0 2 3 0 0
99.0 0 0 0 0 0 0 1 1 0 0
98.5 0 0 0 1 0 1 6 4 0 0
98.0 0 0 0 0 0 0 2 1 0 0
97.5 0 0 0 0 0 1 2 2 0 0
97.0 0 0 0 1 0 1 2 3 0 0
96.5 0 0 0 0 0 0 0 0 0 0
96.0 0 0 0 0 0 0 3 2 1 0
95.5 0 0 0 0 0 0 0 5 0 0
95.0 0 0 0 0 1 3 2 7 0 0
94.5 0 0 0 0 0 0 2 4 0 0
94.0 0 0 0 0 0 1 0 1 0 0
93.5 0 0 0 1 2 2 3 6 0 0
93.0 0 0 0 0 0 0 1 2 0 1
92.5 0 0 0 0 0 3 6 6 0 0
92.0 0 0 0 0 0 0 2 0 0 0
91.5 0 0 0 0 0 1 3 3 0 0
91.0 0 0 0 0 0 0 3 6 0 0
90.5 0 0 0 0 0 0 1 0 0 0
90.0 0 0 1 1 0 2 3 6 0 0
89.5 0 0 0 1 0 0 0 1 0 0
89.0 0 0 0 0 1 0 8 9 0 0
88.5 0 0 0 0 0 1 0 3 0 0
88.0 0 0 0 0 0 0 4 0 0 0
87.5 0 0 0 0 0 0 3 5 0 0
87.0 0 0 0 0 0 0 3 2 0 0
86.5 0 0 0 0 0 5 10 8 0 0
86.0 0 0 0 0 0 1 1 4 0 0
85.5 0 0 0 0 0 7 5 3 0 1
85.0 0 0 0 0 0 0 3 3 0 0
84.5 0 0 0 0 1 2 0 1 0 0
84.0 0 0 0 0 1 5 7 4 0 1
83.5 0 0 0 0 0 1 3 2 0 0
83.0 0 0 0 0 4 3 13 11 0 0
82.5 0 0 0 1 0 0 0 4 0 0
82.0 0 0 0 0 0 3 8 6 0 1
81.5 0 0 0 0 0 0 7 7 0 0
81.0 0 0 0 1 0 0 2 6 0 0
80.5 0 0 0 0 0 1 12 13 0 0
80.0 0 0 0 0 0 1 3 1 0 0
79.5 0 0 0 0 3 2 6 12 0 0
79.0 0 0 0 0 0 1 3 3 0 1
78.5 0 0 0 1 1 2 5 4 0 0
78.0 0 0 0 0 0 0 6 9 0 1
77.5 0 0 0 0 0 2 2 3 0 0
77.0 0 0 0 0 3 6 15 9 0 1
76.5 0 0 0 0 0 1 4 2 0 0
76.0 0 0 0 1 1 5 7 7 0 0
75.5 0 0 0 0 0 3 4 5 0 2
75.0 0 0 0 0 0 2 5 0 0 0
74.5 0 0 0 0 1 1 10 6 0 1
74.0 0 0 0 0 1 2 6 2 0 0
73.5 0 0 0 0 1 2 6 4 0 0
73.0 0 0 0 0 0 0 6 6 0 0
72.5 0 0 0 0 0 7 10 3 0 0
72.0 0 0 0 0 0 4 6 10 0 1
71.5 0 0 0 0 1 3 5 2 0 0
71.0 0 0 0 0 2 4 11 11 0 0
70.5 0 0 0 0 0 1 6 5 0 0
70.0 0 0 0 0 1 3 7 7 0 1
69.5 0 0 0 1 0 2 3 3 0 0
69.0 0 0 0 0 0 5 6 4 0 1
68.5 0 0 0 0 2 4 11 3 0 1
68.0 0 0 0 0 0 4 7 3 0 0
67.5 0 0 0 0 1 2 11 6 0 1
67.0 0 0 0 1 1 2 1 4 0 1
66.5 0 0 0 0 1 3 8 2 0 1
66.0 0 0 0 0 0 2 3 4 0 0
65.5 0 0 0 0 1 4 4 4 0 0
65.0 0 0 0 0 1 7 8 4 0 0
64.5 0 0 0 0 1 1 2 2 0 0
64.0 0 0 0 0 1 1 5 5 0 0
63.5 0 0 0 0 1 1 2 4 0 2
63.0 0 0 0 0 0 4 2 4 0 0
62.5 0 0 0 0 0 9 9 5 1 0
62.0 0 0 0 0 1 0 0 3 0 0
61.5 0 0 0 0 0 3 4 0 0 0
61.0 0 0 0 0 0 2 2 4 0 0
60.5 0 0 0 0 1 1 2 3 0 0
60.0 0 0 0 0 0 2 6 8 0 0
59.5 0 0 0 0 0 0 9 7 0 0
59.0 0 0 0 0 1 3 4 6 0 0
58.5 0 0 0 0 0 1 4 1 0 0
58.0 0 0 0 0 0 2 5 4 0 0
57.5 0 0 0 1 0 2 6 1 0 0
57.0 0 0 0 0 0 0 2 2 0 0
56.5 0 0 0 0 0 1 4 2 0 0
56.0 0 0 0 0 0 2 4 4 0 0
55.5 0 0 0 0 0 1 5 1 0 0
55.0 0 0 0 0 0 1 0 2 0 0
54.5 0 0 0 0 1 1 5 0 0 0
54.0 0 0 0 0 0 2 5 4 0 0
53.5 0 0 0 0 0 1 0 1 0 0
53.0 0 0 0 0 0 0 4 1 0 0
52.5 0 0 0 0 0 0 1 1 0 0
52.0 0 0 0 0 0 0 1 1 0 0
51.5 0 0 0 0 0 0 2 2 0 2
51.0 0 0 0 0 0 0 3 1 0 0
50.5 0 0 0 0 0 0 2 0 0 0
50.0 0 0 0 0 0 1 1 1 0 0
49.5 0 0 0 0 0 1 1 3 0 0
49.0 0 0 0 0 0 0 2 1 0 0
48.5 0 0 0 0 0 0 3 1 0 0
48.0 0 0 0 0 0 1 1 1 0 1
47.5 0 0 0 0 0 1 1 2 0 0
47.0 0 0 0 0 0 1 1 0 0 0
46.5 0 0 0 0 0 0 0 0 0 0
46.0 0 0 0 0 0 0 0 1 0 0
45.5 0 0 0 0 0 3 0 1 0 0
45.0 0 0 0 0 0 0 1 0 0 0
44.5 0 0 0 0 0 0 0 1 0 0
44.0 0 0 0 0 0 0 3 0 0 0
43.5 0 0 0 0 0 0 0 1 0 0
43.0 0 0 0 0 0 0 0 1 0 0
42.5 0 0 0 0 0 0 0 0 0 0
42.0 0 0 0 0 0 2 2 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 1 1 0 0
40.0 0 0 0 0 0 0 1 0 0 0
39.5 0 0 0 0 0 0 1 0 0 0
39.0 0 0 0 0 0 1 1 1 0 0
38.5 0 0 0 0 0 1 2 0 0 0
38.0 0 0 0 0 0 0 2 1 0 0
37.5 0 0 0 0 0 0 0 0 0 0
37.0 0 0 0 0 0 0 1 0 0 0
36.5 0 0 0 0 0 0 1 0 0 0
36.0 0 0 0 0 0 0 1 3 0 1
35.5 0 0 0 0 0 0 1 0 0 0
35.0 0 0 0 0 1 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 1 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 1 0 0 0
32.0 0 0 0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 0 2 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 2 1 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 1 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 1 0 0 1 0 0 0
26.0 0 0 0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 1 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 1 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 1 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 B Results for Virginia
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 0.02 0.06 9.85* 0.02 0.00 0.04 0.00
2 0.03 0.06 1.23 8.25* 0.21 0.22 0.00
3 8.87* 0.21 0.16 0.03 0.17 0.56 0.00
4 0.27 0.26 5.14* 0.76 1.19 2.39 0.00
5 0.79 1.03 0.17 6.31* 0.46 1.25 0.00
6 0.10 3.27* 0.34 0.63 0.26 5.40 0.00
7 0.30 0.22 0.33 1.87* 4.33 2.95 0.00
8 2.92 0.63 0.36 0.99 2.68* 2.43 0.00
9 0.09 0.32 1.89 5.81* 0.14 1.75 0.00
10 0.37 3.45* 0.81 0.54 1.20 3.63 0.00
11 1.49 3.56 2.01* 0.49 0.49 1.96 0.00
12 0.23 1.09 0.23 2.50* 1.97 3.97 0.00
13 0.25 1.85* 0.88 0.23 0.19 6.59 0.00
14 0.16 0.34 0.32 2.79* 1.15 5.24 0.00
15 0.44 0.43 0.84 1.34* 0.62 6.33 0.00
16 0.24 0.30 0.41 0.56 0.86* 7.64 0.00
17 0.08 0.32 0.45 1.97* 1.65 5.51 0.01
18 0.13 0.29* 0.29 0.17 0.12 9.00 0.00
19 0.76 1.37 0.18 0.22 0.67* 6.78 0.01
20 0.64 1.58* 0.56 0.92 0.17 6.13 0.00
21 0.41 0.36 0.37 1.19* 0.28 7.40 0.00
22 0.28 0.33 0.32* 0.22 0.52 8.33 0.00
23 0.43* 0.31 0.31 0.19 0.19 8.57 0.00
24 0.30 0.62 0.45* 0.20 0.12 8.31 0.00
25 0.94 0.29 0.37 0.49* 0.32 7.59 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column