American Mathematics Competitions
2003 AMC 10 A Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 791
Number of unofficial participants: 1
Average score of participants: 74.4
Average score for female students is: 73.2 ( 360 Students)
Average score for male students is: 76.0 ( 399 Students)
Average score for unspecified gender is 69.0 ( 32 Students)
Average score for grade 10 is: 74.9 ( 429 Students)
Average score for grade 9 is: 75.0 ( 265 Students)
Average score for grade 8 and below is: 71.9 ( 89 Students)
Average score with unknown grade: 60.9 ( 8 Students)
AIME qualifying score = 119.0 or better
Number of AIME qualifers 2
Number of schools returning results 25
Average school winning score 103.76
American Mathematics Competitions
2003 AMC 12 A Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 873
Number of unofficial participants: 0
Average score of participants: 76.4
Average score for female students is: 70.6 ( 352 Students)
Average score for male students is: 80.4 ( 496 Students)
Average score for unspecified gender is 80.8 ( 25 Students)
Average score for grade 13 is: 66.0 ( 1 Student)
Average score for grade 12 is: 78.1 ( 355 Students)
Average score for grade 11 is: 74.4 ( 440 Students)
Average score for grade 10 is: 79.4 ( 55 Students)
Average score for grade 9 is: 81.2 ( 12 Students)
Average score with unknown grade: 85.4 ( 10 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 106
Number of schools returning results 22
Average school winning score 109.20
Average school team score 303.09
American Mathematics Competitions
2003 AMC 10 B Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 364
Number of unofficial participants: 0
Average score of participants: 77.7
Average score for female students is: 76.7 ( 150 Students)
Average score for male students is: 79.5 ( 187 Students)
Average score for unspecified gender is 71.4 ( 27 Students)
Average score for grade 10 is: 79.6 ( 196 Students)
Average score for grade 9 is: 82.1 ( 57 Students)
Average score for grade 8 and below is: 73.4 ( 77 Students)
Average score with unknown grade: 69.0 ( 34 Students)
AIME qualifying score = 121.0 or better
Number of AIME qualifers 3
Number of schools returning results 22
Average school winning score 103.70
American Mathematics Competitions
2003 AMC 12 B Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 356
Number of unofficial participants: 0
Average score of participants: 71.7
Average score for female students is: 68.8 ( 148 Students)
Average score for male students is: 74.5 ( 193 Students)
Average score for unspecified gender is 62.9 ( 15 Students)
Average score for grade 12 is: 76.8 ( 98 Students)
Average score for grade 11 is: 69.3 ( 186 Students)
Average score for grade 10 is: 71.4 ( 36 Students)
Average score for grade 9 is: 64.4 ( 17 Students)
Average score for grade 8 and below is: 85.0 ( 10 Students)
Average score with unknown grade: 63.9 ( 9 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 19
Number of schools returning results 21
Average school winning score 102.60
Average school team score 263.55
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 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 1 0 1 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 0
133.0 0 0 0 0
132.5 0 1 0 0
132.0 0 0 0 0
131.5 0 0 0 0
131.0 1 0 0 0
130.5 0 0 0 0
130.0 0 0 0 0
129.5 0 0 0 0
129.0 2 1 0 0
128.5 1 0 0 0
128.0 0 0 0 0
127.5 0 0 0 1
127.0 0 0 0 0
126.5 0 2 0 2
126.0 0 0 0 0
125.5 1 0 0 0
125.0 2 0 0 0
124.5 0 0 0 0
124.0 2 0 0 0
123.5 0 0 0 0
123.0 0 1 0 0
122.5 2 0 0 0
122.0 2 0 0 0
121.5 0 0 1 0
121.0 0 0 0 0
120.5 1 0 0 1
120.0 0 0 0 0
119.5 0 0 0 0
119.0 0 0 0 0
118.5 2 0 1 1
118.0 1 0 1 0
117.5 0 0 0 0
117.0 0 0 0 1
116.5 0 0 0 1
116.0 2 0 0 1
115.5 0 0 0 0
115.0 3 0 0 1
114.5 1 0 2 1
114.0 0 0 0 0
113.5 4 0 0 0
113.0 0 0 0 0
112.5 5 1 0 0
112.0 2 0 1 2
111.5 2 0 0 1
111.0 0 0 2 1
110.5 0 0 0 0
110.0 5 1 3 2
109.5 1 0 1 1
109.0 4 2 2 4
108.5 2 0 4 0
108.0 4 0 0 0
107.5 1 1 1 5
107.0 0 0 0 0
106.5 6 1 8 2
106.0 0 0 0 0
105.5 3 2 1 0
105.0 4 0 3 2
104.5 3 0 2 0
104.0 5 1 4 1
103.5 1 0 1 0
103.0 8 0 3 3
102.5 4 1 2 1
102.0 7 2 4 2
101.5 1 0 3 2
101.0 3 1 1 0
100.5 4 1 7 3
100.0 1 0 0 1
99.5 9 1 4 3
99.0 4 1 3 1
98.5 2 2 0 2
98.0 7 2 14 1
97.5 1 1 1 1
97.0 8 4 4 2
96.5 1 0 1 3
96.0 13 5 4 7
95.5 4 0 2 3
95.0 12 4 4 4
94.5 6 3 3 4
94.0 0 2 3 0
93.5 7 0 5 4
93.0 3 1 5 2
92.5 11 1 5 0
92.0 4 0 5 4
91.5 1 0 3 3
91.0 6 1 5 3
90.5 2 0 1 3
90.0 15 6 9 2
89.5 6 0 7 0
89.0 9 3 3 7
88.5 5 1 8 2
88.0 2 1 2 7
87.5 11 1 10 4
87.0 5 1 3 4
86.5 10 6 7 0
86.0 3 0 9 3
85.5 10 0 5 4
85.0 10 2 8 3
84.5 5 2 2 3
84.0 14 5 15 6
83.5 11 1 8 0
83.0 11 4 11 6
82.5 7 0 8 5
82.0 6 5 9 5
81.5 7 3 10 3
81.0 4 2 7 2
80.5 11 4 8 9
80.0 8 1 3 0
79.5 10 5 10 0
79.0 9 3 9 4
78.5 4 2 6 4
78.0 11 7 13 2
77.5 6 0 5 4
77.0 8 13 14 4
76.5 8 1 6 2
76.0 6 3 15 3
75.5 8 3 9 4
75.0 6 8 11 4
74.5 8 5 6 3
74.0 10 1 8 2
73.5 14 6 7 9
73.0 6 5 11 6
72.5 7 5 13 3
72.0 14 6 19 5
71.5 9 6 6 1
71.0 9 6 7 3
70.5 8 2 9 3
70.0 10 12 6 4
69.5 6 2 12 5
69.0 5 1 7 1
68.5 6 6 14 4
68.0 10 3 5 3
67.5 6 5 7 3
67.0 7 4 11 6
66.5 12 5 7 2
66.0 11 7 14 3
65.5 9 3 7 1
65.0 13 7 10 2
64.5 5 2 15 4
64.0 11 4 9 5
63.5 3 3 6 2
63.0 6 4 6 3
62.5 8 13 9 13
62.0 8 2 10 1
61.5 6 5 6 1
61.0 7 0 9 2
60.5 3 3 7 3
60.0 11 2 8 4
59.5 12 1 3 2
59.0 9 2 9 1
58.5 5 2 8 3
58.0 6 3 7 3
57.5 3 4 7 2
57.0 4 5 7 2
56.5 5 3 1 2
56.0 5 4 3 2
55.5 2 5 4 3
55.0 2 0 4 3
54.5 4 3 0 4
54.0 6 2 9 2
53.5 3 3 3 1
53.0 4 3 4 0
52.5 4 3 4 0
52.0 8 3 6 1
51.5 5 1 3 1
51.0 4 1 2 2
50.5 3 2 1 2
50.0 0 0 2 1
49.5 1 2 2 0
49.0 8 0 1 2
48.5 3 1 2 1
48.0 10 2 5 1
47.5 2 1 3 2
47.0 2 1 3 0
46.5 0 0 1 0
46.0 3 0 1 1
45.5 2 1 2 1
45.0 2 3 1 0
44.5 4 2 5 1
44.0 3 0 4 1
43.5 3 0 0 0
43.0 2 1 2 0
42.5 1 1 0 0
42.0 5 4 3 2
41.5 1 0 1 0
41.0 5 0 1 1
40.5 0 1 0 0
40.0 1 0 1 0
39.5 0 0 0 0
39.0 2 0 1 0
38.5 0 2 1 0
38.0 0 1 0 0
37.5 0 0 0 0
37.0 1 0 0 0
36.5 0 0 1 0
36.0 5 4 2 0
35.5 1 0 1 0
35.0 1 0 0 1
34.5 2 0 1 0
34.0 2 1 0 1
33.5 0 0 0 0
33.0 0 0 0 1
32.5 0 0 2 1
32.0 0 0 0 1
31.5 0 0 0 0
31.0 0 0 0 0
30.5 1 0 0 1
30.0 4 1 2 0
29.5 1 0 1 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 1 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 1 1 0
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 1 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 1 0 0 0
17.5 0 0 0 0
17.0 0 0 0 1
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 0 0
13.0 0 0 0 0
12.5 0 0 0 0
12.0 0 0 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 Colorado
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 3 0
148.5 0 0 123.5 0 0 98.5 0 0
148.0 0 0 123.0 0 0 98.0 13 1
147.5 0 0 122.5 0 0 97.5 0 1
147.0 0 0 122.0 0 0 97.0 3 1
146.5 0 0 121.5 1 0 96.5 1 0
146.0 0 0 121.0 0 0 96.0 2 2
145.5 0 0 120.5 0 0 95.5 0 2
145.0 0 0 120.0 0 0 95.0 3 1
144.5 0 0 119.5 0 0 94.5 1 2
144.0 1 0 119.0 0 0 94.0 2 1
143.5 0 0 118.5 0 1 93.5 5 0
143.0 0 0 118.0 1 0 93.0 4 1
142.5 0 0 117.5 0 0 92.5 4 1
142.0 0 0 117.0 0 0 92.0 3 2
141.5 0 0 116.5 0 0 91.5 1 1
141.0 0 0 116.0 0 0 91.0 4 1
140.5 0 0 115.5 0 0 90.5 1 0
140.0 0 0 115.0 0 0 90.0 3 6
139.5 0 0 114.5 1 1 89.5 6 1
139.0 0 0 114.0 0 0 89.0 1 2
138.5 0 0 113.5 0 0 88.5 3 4
138.0 0 0 113.0 0 0 88.0 2 0
137.5 0 0 112.5 0 0 87.5 3 6
137.0 0 0 112.0 1 0 87.0 2 1
136.5 0 0 111.5 0 0 86.5 3 4
136.0 0 0 111.0 2 0 86.0 4 4
135.5 0 0 110.5 0 0 85.5 2 3
135.0 0 0 110.0 1 2 85.0 7 1
134.5 0 0 109.5 1 0 84.5 1 1
134.0 0 0 109.0 1 1 84.0 6 8
133.5 0 0 108.5 3 1 83.5 5 1
133.0 0 0 108.0 0 0 83.0 6 5
132.5 0 0 107.5 1 0 82.5 3 5
132.0 0 0 107.0 0 0 82.0 8 1
131.5 0 0 106.5 5 3 81.5 4 6
131.0 0 0 106.0 0 0 81.0 5 2
130.5 0 0 105.5 0 1 80.5 4 4
130.0 0 0 105.0 3 0 80.0 2 1
129.5 0 0 104.5 1 1 79.5 4 6
129.0 0 0 104.0 1 3 79.0 3 4
128.5 0 0 103.5 1 0 78.5 2 4
128.0 0 0 103.0 1 2 78.0 8 5
127.5 0 0 102.5 1 1 77.5 4 1
127.0 0 0 102.0 2 2 77.0 4 9
126.5 0 0 101.5 2 1 76.5 2 3
126.0 0 0 101.0 1 0 76.0 8 6
125.5 0 0 100.5 3 3 75.5 4 5
American Mathematics Competitions
2003 AMC 10 A Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 8 50.0 0 1 25.0 0 0
74.5 2 4 49.5 0 2 24.5 0 0
74.0 1 6 49.0 0 1 24.0 1 0
73.5 2 5 48.5 0 2 23.5 0 0
73.0 6 5 48.0 1 4 23.0 0 0
72.5 3 10 47.5 1 2 22.5 0 0
72.0 10 9 47.0 2 1 22.0 0 0
71.5 2 3 46.5 1 0 21.5 0 0
71.0 2 5 46.0 0 1 21.0 0 0
70.5 4 5 45.5 1 1 20.5 1 0
70.0 2 4 45.0 1 0 20.0 0 0
69.5 6 6 44.5 1 4 19.5 0 0
69.0 3 4 44.0 4 0 19.0 0 0
68.5 9 5 43.5 0 0 18.5 0 0
68.0 2 2 43.0 1 0 18.0 0 0
67.5 3 4 42.5 0 0 17.5 0 0
67.0 9 2 42.0 0 2 17.0 0 0
66.5 4 3 41.5 0 1 16.5 0 0
66.0 7 7 41.0 1 0 16.0 0 0
65.5 5 2 40.5 0 0 15.5 0 0
65.0 6 4 40.0 1 0 15.0 0 0
64.5 12 3 39.5 0 0 14.5 0 0
64.0 3 6 39.0 1 0 14.0 0 0
63.5 5 1 38.5 0 0 13.5 0 0
63.0 1 5 38.0 0 0 13.0 0 0
62.5 1 6 37.5 0 0 12.5 0 0
62.0 6 4 37.0 0 0 12.0 0 0
61.5 3 2 36.5 1 0 11.5 0 0
61.0 3 6 36.0 1 1 11.0 0 0
60.5 3 3 35.5 1 0 10.5 0 0
60.0 5 3 35.0 0 0 10.0 0 0
59.5 3 0 34.5 1 0 9.5 0 0
59.0 5 4 34.0 0 0 9.0 0 0
58.5 1 6 33.5 0 0 8.5 0 0
58.0 3 4 33.0 0 0 8.0 0 0
57.5 5 2 32.5 2 0 7.5 0 0
57.0 3 3 32.0 0 0 7.0 0 0
56.5 0 1 31.5 0 0 6.5 0 0
56.0 0 3 31.0 0 0 6.0 0 0
55.5 1 3 30.5 0 0 5.5 0 0
55.0 0 2 30.0 1 1 5.0 0 0
54.5 0 0 29.5 0 1 4.5 0 0
54.0 4 4 29.0 0 0 4.0 0 0
53.5 2 1 28.5 0 0 3.5 0 0
53.0 1 3 28.0 0 0 3.0 0 0
52.5 0 3 27.5 0 0 2.5 0 0
52.0 4 2 27.0 0 0 2.0 0 0
51.5 3 0 26.5 0 0 1.5 0 0
51.0 0 1 26.0 0 0 1.0 0 0
50.5 1 0 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for Colorado
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 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 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 0 0 0
119.0 0 0 0 0 0 0 0
118.5 0 0 0 0 1 0 0
118.0 0 0 1 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 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 1 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 1 2 0
109.5 0 0 0 0 1 0 0
109.0 0 0 0 0 1 1 0
108.5 0 0 0 0 1 3 0
108.0 0 0 0 0 0 0 0
107.5 0 0 0 0 0 1 0
107.0 0 0 0 0 0 0 0
106.5 0 0 0 0 5 3 0
106.0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 1 0
105.0 0 0 0 0 2 1 0
104.5 0 0 0 0 1 1 0
104.0 0 0 0 0 4 0 0
103.5 0 0 0 0 0 1 0
103.0 0 0 0 1 1 1 0
102.5 0 0 0 0 0 2 0
102.0 0 0 0 1 1 2 0
101.5 0 0 0 1 1 1 0
101.0 0 0 0 0 0 1 0
100.5 0 0 0 0 2 5 0
100.0 0 0 0 0 0 0 0
99.5 0 0 0 0 3 1 0
99.0 0 0 0 0 0 3 0
98.5 0 0 0 0 0 0 0
98.0 0 0 1 1 3 9 0
97.5 0 0 0 0 0 1 0
97.0 0 0 0 0 2 2 0
96.5 0 0 0 1 0 0 0
96.0 0 0 0 1 1 2 0
95.5 0 0 0 0 1 1 0
95.0 0 0 0 0 1 3 0
94.5 0 0 0 0 2 1 0
94.0 0 0 0 1 0 2 0
93.5 0 0 1 0 2 2 0
93.0 0 0 0 2 2 1 0
92.5 0 0 1 0 1 3 0
92.0 0 0 0 0 3 2 0
91.5 0 0 0 0 0 3 0
91.0 0 0 0 0 3 2 0
90.5 0 0 0 0 0 1 0
90.0 0 0 0 0 2 7 0
89.5 0 0 0 1 3 2 1
89.0 0 0 0 0 1 2 0
88.5 0 0 0 1 1 6 0
88.0 0 0 0 1 0 1 0
87.5 0 0 0 0 4 6 0
87.0 0 0 0 0 3 0 0
86.5 0 0 0 1 2 4 0
86.0 0 0 1 0 5 3 0
85.5 0 0 0 0 1 4 0
85.0 0 0 0 0 3 5 0
84.5 0 0 0 0 0 2 0
84.0 0 0 0 2 7 6 0
83.5 0 0 0 1 1 5 1
83.0 0 0 0 2 3 6 0
82.5 0 0 0 0 3 5 0
82.0 0 0 1 0 3 5 0
81.5 0 0 0 0 4 6 0
81.0 0 0 0 1 2 4 0
80.5 0 0 0 0 4 4 0
80.0 0 0 0 1 0 2 0
79.5 0 0 0 0 2 8 0
79.0 0 0 0 0 2 7 0
78.5 0 0 0 1 2 3 0
78.0 0 0 0 1 5 7 0
77.5 0 0 1 1 1 2 0
77.0 0 1 0 3 3 7 0
76.5 0 0 0 0 3 3 0
76.0 0 0 1 5 3 6 0
75.5 0 0 0 0 2 7 0
75.0 0 0 0 0 7 4 0
74.5 0 0 1 0 3 2 0
74.0 0 0 0 0 3 5 0
73.5 0 0 0 0 3 4 0
73.0 0 0 2 0 5 4 0
72.5 0 0 0 2 5 6 0
72.0 0 0 0 2 7 10 0
71.5 0 0 0 0 2 4 0
71.0 0 0 2 1 1 3 0
70.5 0 0 0 0 1 8 0
70.0 0 0 0 1 2 3 0
69.5 0 0 0 0 4 8 0
69.0 0 0 1 1 1 4 0
68.5 0 0 1 0 6 7 0
68.0 0 0 0 0 1 4 0
67.5 0 0 0 2 3 2 0
67.0 0 1 0 0 3 7 0
66.5 0 0 1 0 2 4 0
66.0 0 1 0 2 4 7 0
65.5 0 0 0 0 1 6 0
65.0 0 1 0 1 4 4 0
64.5 0 0 0 0 5 9 1
64.0 0 0 0 2 2 5 0
63.5 0 0 0 0 4 2 0
63.0 0 0 0 0 2 4 0
62.5 0 0 1 0 6 2 0
62.0 0 0 0 0 4 6 0
61.5 0 0 0 0 1 4 1
61.0 0 0 0 0 3 6 0
60.5 0 0 1 0 1 5 0
60.0 0 0 0 0 3 5 0
59.5 0 0 0 0 1 2 0
59.0 0 0 0 3 2 4 0
58.5 0 0 0 0 4 3 1
58.0 0 0 1 0 2 4 0
57.5 0 0 0 1 1 5 0
57.0 0 0 0 2 2 3 0
56.5 0 0 0 0 0 1 0
56.0 0 0 0 0 1 2 0
55.5 0 0 0 0 2 2 0
55.0 0 0 0 0 1 2 1
54.5 0 0 0 0 0 0 0
54.0 0 0 1 3 3 2 0
53.5 0 0 0 0 3 0 0
53.0 0 0 0 0 1 3 0
52.5 0 0 0 1 1 2 0
52.0 0 0 0 0 3 3 0
51.5 0 0 0 0 1 2 0
51.0 0 0 0 0 1 1 0
50.5 0 0 0 0 0 1 0
50.0 0 0 0 0 2 0 0
49.5 0 0 0 0 1 1 0
49.0 0 0 0 0 0 1 0
48.5 0 0 0 0 1 1 0
48.0 0 0 0 0 1 4 0
47.5 0 0 1 1 0 1 0
47.0 0 0 0 1 2 0 0
46.5 0 0 0 0 0 1 0
46.0 0 0 0 0 0 1 0
45.5 0 0 0 0 0 2 0
45.0 0 0 0 1 0 0 0
44.5 0 0 0 1 1 3 0
44.0 0 1 0 0 2 1 0
43.5 0 0 0 0 0 0 0
43.0 0 1 0 0 0 1 0
42.5 0 0 0 0 0 0 0
42.0 0 0 0 0 0 2 1
41.5 0 0 0 0 1 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 1 0
39.5 0 0 0 0 0 0 0
39.0 0 0 0 0 0 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 1 0 0
36.0 0 0 1 0 0 1 0
35.5 0 0 0 1 0 0 0
35.0 0 0 0 0 0 0 0
34.5 0 0 0 0 1 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 1 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 0 0
30.0 0 0 0 1 0 1 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 0 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 1 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 Colorado
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 0.70 2.34 1.09 3.75* 0.32 1.81 0.00
2 0.01 8.43* 0.10 1.20 0.04 0.21 0.00
3 0.64 2.39 0.34 4.66* 0.21 1.74 0.00
4 4.88* 0.21 0.27 3.36 0.08 1.20 0.00
5 0.82 6.06* 0.24 0.14 0.15 2.59 0.00
6 2.05 1.91 2.68* 0.57 0.75 2.05 0.00
7 1.50 2.09* 1.19 1.78 0.51 2.93 0.00
8 0.99 0.49 0.21 0.19 7.00* 1.10 0.01
9 2.16* 0.51 1.43 2.34 0.08 3.49 0.00
10 0.44 0.53 0.67 1.37 4.68* 2.31 0.00
11 0.19 0.06 0.19 0.21 6.64* 2.71 0.00
12 3.03* 2.92 0.30 0.47 0.99 2.29 0.00
13 6.30* 0.39 0.32 0.13 0.04 2.83 0.00
14 1.85* 1.30 0.42 0.83 1.05 4.55 0.00
15 0.70 1.83 4.20* 0.44 0.66 2.17 0.00
16 0.58 0.86 2.20* 0.19 0.78 5.39 0.00
17 0.61 0.92* 0.30 0.28 0.38 7.51 0.00
18 0.30 0.56* 0.24 0.80 0.73 7.37 0.00
19 0.33 0.37 0.52* 0.11 0.27 8.41 0.00
20 0.43 0.37 0.49 0.23 0.39* 8.09 0.00
21 0.44 0.54 1.20 1.87* 2.59 3.35 0.00
22 0.70 1.91* 0.61 0.24 0.13 6.42 0.00
23 0.46 0.34 0.68* 0.58 0.73 7.21 0.00
24 0.19 0.32 0.62 0.57 4.27* 4.03 0.00
25 0.15 0.49* 0.29 0.23 0.15 8.67 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 Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 1 1 100.0 1 0
149.5 0 0 124.5 0 0 99.5 8 1
149.0 0 0 124.0 2 0 99.0 4 0
148.5 0 0 123.5 0 0 98.5 2 0
148.0 0 0 123.0 0 0 98.0 3 4
147.5 0 0 122.5 1 0 97.5 1 0
147.0 0 0 122.0 2 0 97.0 6 2
146.5 0 0 121.5 0 0 96.5 1 0
146.0 0 0 121.0 0 0 96.0 6 5
145.5 0 0 120.5 1 0 95.5 3 1
145.0 0 0 120.0 0 0 95.0 5 6
144.5 0 0 119.5 0 0 94.5 3 3
144.0 1 0 119.0 0 0 94.0 0 0
143.5 0 0 118.5 0 2 93.5 5 2
143.0 0 0 118.0 1 0 93.0 2 0
142.5 0 0 117.5 0 0 92.5 4 7
142.0 0 0 117.0 0 0 92.0 3 1
141.5 0 0 116.5 0 0 91.5 0 1
141.0 0 0 116.0 2 0 91.0 6 0
140.5 0 0 115.5 0 0 90.5 2 0
140.0 0 0 115.0 3 0 90.0 11 4
139.5 0 0 114.5 1 0 89.5 4 1
139.0 0 0 114.0 0 0 89.0 6 2
138.5 0 0 113.5 3 1 88.5 1 3
138.0 0 0 113.0 0 0 88.0 1 1
137.5 0 0 112.5 5 0 87.5 9 2
137.0 0 0 112.0 2 0 87.0 5 0
136.5 0 0 111.5 1 1 86.5 6 4
136.0 0 0 111.0 0 0 86.0 1 2
135.5 0 0 110.5 0 0 85.5 8 2
135.0 0 0 110.0 4 1 85.0 8 1
134.5 0 0 109.5 1 0 84.5 4 1
134.0 0 0 109.0 2 2 84.0 7 6
133.5 0 0 108.5 2 0 83.5 7 3
133.0 0 0 108.0 3 1 83.0 7 3
132.5 0 0 107.5 1 0 82.5 7 0
132.0 0 0 107.0 0 0 82.0 1 5
131.5 0 0 106.5 5 1 81.5 3 2
131.0 1 0 106.0 0 0 81.0 3 1
130.5 0 0 105.5 2 1 80.5 7 4
130.0 0 0 105.0 4 0 80.0 4 4
129.5 0 0 104.5 2 1 79.5 5 5
129.0 2 0 104.0 5 0 79.0 7 2
128.5 1 0 103.5 1 0 78.5 3 1
128.0 0 0 103.0 6 2 78.0 8 3
127.5 0 0 102.5 3 0 77.5 4 2
127.0 0 0 102.0 3 3 77.0 2 6
126.5 0 0 101.5 1 0 76.5 2 6
126.0 0 0 101.0 2 1 76.0 4 2
125.5 1 0 100.5 3 1 75.5 4 4
American Mathematics Competitions
2003 AMC 12 A Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 4 50.0 0 0 25.0 0 0
74.5 6 2 49.5 0 1 24.5 0 0
74.0 5 5 49.0 3 5 24.0 0 0
73.5 3 11 48.5 1 2 23.5 0 0
73.0 2 4 48.0 6 3 23.0 0 0
72.5 4 2 47.5 1 1 22.5 0 0
72.0 10 4 47.0 1 1 22.0 0 0
71.5 7 2 46.5 0 0 21.5 0 0
71.0 0 9 46.0 2 1 21.0 0 0
70.5 6 2 45.5 1 1 20.5 0 0
70.0 6 4 45.0 0 2 20.0 0 0
69.5 4 2 44.5 2 2 19.5 0 0
69.0 1 4 44.0 2 1 19.0 0 0
68.5 5 1 43.5 1 2 18.5 0 0
68.0 8 2 43.0 0 2 18.0 0 1
67.5 1 5 42.5 0 1 17.5 0 0
67.0 2 5 42.0 4 1 17.0 0 0
66.5 5 7 41.5 0 1 16.5 0 0
66.0 6 5 41.0 1 4 16.0 0 0
65.5 2 7 40.5 0 0 15.5 0 0
65.0 3 8 40.0 0 1 15.0 0 0
64.5 3 2 39.5 0 0 14.5 0 1
64.0 8 3 39.0 0 2 14.0 0 0
63.5 1 2 38.5 0 0 13.5 0 0
63.0 3 1 38.0 0 0 13.0 0 0
62.5 4 4 37.5 0 0 12.5 0 0
62.0 2 6 37.0 1 0 12.0 0 0
61.5 2 4 36.5 0 0 11.5 0 0
61.0 3 3 36.0 1 4 11.0 0 0
60.5 1 2 35.5 1 0 10.5 0 0
60.0 10 1 35.0 1 0 10.0 0 0
59.5 7 4 34.5 1 1 9.5 0 0
59.0 4 5 34.0 1 1 9.0 0 0
58.5 4 1 33.5 0 0 8.5 0 0
58.0 4 2 33.0 0 0 8.0 0 0
57.5 0 3 32.5 0 0 7.5 0 0
57.0 1 3 32.0 0 0 7.0 0 0
56.5 3 2 31.5 0 0 6.5 0 0
56.0 3 2 31.0 0 0 6.0 0 0
55.5 1 1 30.5 0 1 5.5 0 0
55.0 1 1 30.0 1 3 5.0 0 0
54.5 2 2 29.5 0 1 4.5 0 0
54.0 2 4 29.0 0 0 4.0 0 0
53.5 1 2 28.5 0 0 3.5 0 0
53.0 0 4 28.0 0 0 3.0 0 0
52.5 2 2 27.5 0 0 2.5 0 0
52.0 2 6 27.0 0 0 2.0 0 0
51.5 3 2 26.5 0 0 1.5 0 0
51.0 3 1 26.0 0 0 1.0 0 0
50.5 1 1 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for Colorado
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 1 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 0 0 1 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 1 0 0
128.5 0 0 0 0 1 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 1 0 0
125.0 0 0 0 0 1 0 0 1 0 0
124.5 0 0 0 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 1 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 2 0 0
122.0 0 0 0 0 0 0 0 1 0 1
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 1 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 2 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 0 0 0 0
116.5 0 0 0 0 0 0 0 0 0 0
116.0 0 0 0 0 0 0 2 0 0 0
115.5 0 0 0 0 0 0 0 0 0 0
115.0 0 0 0 0 0 0 1 2 0 0
114.5 0 0 0 0 0 0 1 0 0 0
114.0 0 0 0 0 0 0 0 0 0 0
113.5 0 0 0 0 0 0 2 1 0 1
113.0 0 0 0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 1 1 3 0 0
112.0 0 0 0 0 0 0 2 0 0 0
111.5 0 0 0 0 0 0 0 2 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 1 1 3 0 0
109.5 0 0 0 0 0 1 0 0 0 0
109.0 0 0 0 0 0 1 2 1 0 0
108.5 0 0 0 0 0 0 1 1 0 0
108.0 0 0 0 0 0 0 2 2 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 0 0 2 2 2 0 0
106.0 0 0 0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 1 1 1 0 0
105.0 0 0 0 0 0 0 2 2 0 0
104.5 0 0 0 0 0 0 0 3 0 0
104.0 0 0 0 0 0 0 2 3 0 0
103.5 0 0 0 0 0 0 0 1 0 0
103.0 0 0 0 0 0 1 5 2 0 0
102.5 0 0 0 0 0 0 2 2 0 0
102.0 0 0 0 0 0 0 2 4 0 1
101.5 0 0 0 0 0 0 0 1 0 0
101.0 0 0 0 0 0 0 2 1 0 0
100.5 0 0 0 0 0 1 2 1 0 0
100.0 0 0 0 0 0 0 1 0 0 0
99.5 0 0 0 0 0 0 4 5 0 0
99.0 0 0 0 0 1 1 1 1 0 0
98.5 0 0 0 0 0 0 1 1 0 0
98.0 0 0 0 0 0 0 2 5 0 0
97.5 0 0 0 0 0 0 1 0 0 0
97.0 0 0 0 0 0 0 5 3 0 0
96.5 0 0 0 0 0 0 1 0 0 0
96.0 0 0 0 0 0 0 6 7 0 0
95.5 0 0 0 0 0 0 2 2 0 0
95.0 0 0 0 0 0 0 4 8 0 0
94.5 0 0 0 0 0 0 3 3 0 0
94.0 0 0 0 0 0 0 0 0 0 0
93.5 0 0 0 0 0 1 5 1 0 0
93.0 0 0 0 0 0 0 2 1 0 0
92.5 0 0 0 0 0 0 4 7 0 0
92.0 0 0 0 0 0 0 2 2 0 0
91.5 0 0 0 0 0 0 0 1 0 0
91.0 0 0 0 0 0 0 5 1 0 0
90.5 0 0 0 0 0 0 0 2 0 0
90.0 0 0 0 0 0 2 7 5 0 1
89.5 0 0 0 0 0 0 4 2 0 0
89.0 0 0 0 0 0 0 5 4 0 0
88.5 0 0 0 0 0 0 2 3 0 0
88.0 0 0 0 0 0 0 1 1 0 0
87.5 0 0 0 0 0 0 7 4 0 0
87.0 0 0 0 0 0 0 2 3 0 0
86.5 0 0 0 0 0 0 7 3 0 0
86.0 0 0 0 0 0 1 1 1 0 0
85.5 0 0 0 0 1 1 6 2 0 0
85.0 0 0 0 0 0 1 5 4 0 0
84.5 0 0 0 0 0 0 3 2 0 0
84.0 0 0 0 0 0 0 6 8 0 0
83.5 0 0 0 0 1 0 4 6 0 0
83.0 0 0 0 0 0 1 4 6 0 0
82.5 0 0 0 0 0 0 5 2 0 0
82.0 0 0 0 0 0 1 5 0 0 0
81.5 0 0 0 0 0 1 2 3 0 1
81.0 0 0 0 0 0 2 1 1 0 0
80.5 0 0 0 0 0 1 4 6 0 0
80.0 0 0 0 0 0 1 2 5 0 0
79.5 0 0 0 0 1 0 6 3 0 0
79.0 0 0 0 0 0 2 3 4 0 0
78.5 0 0 0 0 0 0 3 1 0 0
78.0 0 0 0 0 0 1 4 6 0 0
77.5 0 0 0 0 0 0 3 3 0 0
77.0 0 0 0 0 0 1 4 3 0 0
76.5 0 0 0 0 0 0 2 6 0 0
76.0 0 0 0 0 0 0 4 2 0 0
75.5 0 0 0 0 0 0 5 3 0 0
75.0 0 0 0 0 0 0 5 0 0 1
74.5 0 0 0 0 0 0 4 4 0 0
74.0 0 0 0 0 0 2 5 3 0 0
73.5 0 0 0 0 0 3 8 3 0 0
73.0 0 0 0 0 0 0 3 3 0 0
72.5 0 0 0 0 0 0 2 3 0 2
72.0 0 0 0 0 2 2 4 6 0 0
71.5 0 0 0 0 0 0 5 4 0 0
71.0 0 0 0 0 0 1 5 3 0 0
70.5 0 0 0 0 0 0 5 3 0 0
70.0 0 0 0 0 0 1 5 4 0 0
69.5 0 0 0 0 0 0 5 1 0 0
69.0 0 0 0 0 0 1 1 3 0 0
68.5 0 0 0 0 0 0 4 2 0 0
68.0 0 0 0 0 1 0 4 5 0 0
67.5 0 0 0 0 0 0 4 2 0 0
67.0 0 0 0 0 0 0 4 3 0 0
66.5 0 0 0 0 0 1 6 5 0 0
66.0 0 0 0 0 0 2 3 5 1 0
65.5 0 0 0 0 0 1 6 2 0 0
65.0 0 0 0 0 0 1 9 3 0 0
64.5 0 0 0 0 0 0 2 3 0 0
64.0 0 0 0 0 0 2 7 2 0 0
63.5 0 0 0 0 0 0 2 1 0 0
63.0 0 0 0 0 0 1 1 3 0 1
62.5 0 0 0 0 0 0 6 2 0 0
62.0 0 0 0 0 0 0 4 3 0 1
61.5 0 0 0 0 0 0 4 2 0 0
61.0 0 0 0 0 0 0 4 3 0 0
60.5 0 0 0 0 1 0 2 0 0 0
60.0 0 0 0 0 0 1 5 5 0 0
59.5 0 0 0 0 0 0 8 4 0 0
59.0 0 0 0 0 0 0 7 2 0 0
58.5 0 0 0 0 0 1 3 1 0 0
58.0 0 0 0 0 0 3 2 1 0 0
57.5 0 0 0 0 0 0 2 1 0 0
57.0 0 0 0 0 0 0 3 1 0 0
56.5 0 0 0 0 0 1 3 1 0 0
56.0 0 0 0 0 1 1 2 1 0 0
55.5 0 0 0 0 0 0 1 1 0 0
55.0 0 0 0 0 0 0 1 1 0 0
54.5 0 0 0 0 0 0 3 1 0 0
54.0 0 0 0 0 0 0 4 2 0 0
53.5 0 0 0 0 0 0 3 0 0 0
53.0 0 0 0 0 0 0 2 2 0 0
52.5 0 0 0 0 0 1 2 1 0 0
52.0 0 0 0 0 0 0 5 3 0 0
51.5 0 0 0 0 0 0 4 1 0 0
51.0 0 0 0 0 0 0 2 2 0 0
50.5 0 0 0 0 0 1 2 0 0 0
50.0 0 0 0 0 0 0 0 0 0 0
49.5 0 0 0 0 0 0 1 0 0 0
49.0 0 0 0 0 0 0 4 4 0 0
48.5 0 0 0 0 0 0 0 3 0 0
48.0 0 0 0 0 0 0 3 7 0 0
47.5 0 0 0 0 0 0 0 2 0 0
47.0 0 0 0 0 0 0 2 0 0 0
46.5 0 0 0 0 0 0 0 0 0 0
46.0 0 0 0 0 0 0 1 2 0 0
45.5 0 0 0 0 0 0 1 1 0 0
45.0 0 0 0 0 1 0 1 0 0 0
44.5 0 0 0 0 0 0 2 2 0 0
44.0 0 0 0 0 0 0 3 0 0 0
43.5 0 0 0 0 0 0 2 1 0 0
43.0 0 0 0 0 0 0 2 0 0 0
42.5 0 0 0 0 0 0 0 1 0 0
42.0 0 0 0 0 0 0 1 4 0 0
41.5 0 0 0 0 0 0 1 0 0 0
41.0 0 0 0 0 0 0 4 1 0 0
40.5 0 0 0 0 0 0 0 0 0 0
40.0 0 0 0 0 0 0 0 1 0 0
39.5 0 0 0 0 0 0 0 0 0 0
39.0 0 0 0 0 0 0 0 2 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 1 0 0 0
36.5 0 0 0 0 0 0 0 0 0 0
36.0 0 0 0 0 0 0 3 2 0 0
35.5 0 0 0 0 0 0 1 0 0 0
35.0 0 0 0 0 0 0 1 0 0 0
34.5 0 0 0 0 0 0 1 1 0 0
34.0 0 0 0 0 0 0 1 1 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 1 0 0
30.0 0 0 0 0 0 0 3 1 0 0
29.5 0 0 0 0 0 0 1 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 1 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 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 Colorado
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 0.32 1.62 0.80 5.52* 0.37 1.37 0.00
2 0.03 8.69* 0.17 0.84 0.05 0.22 0.00
3 0.25 2.62 0.25 5.59* 0.19 1.09 0.00
4 5.75* 0.24 0.17 3.08 0.06 0.70 0.00
5 0.24 0.08 0.22 0.15 7.70* 1.62 0.00
6 1.29 1.87 4.05* 0.57 0.58 1.63 0.00
7 1.81 2.25* 0.86 1.72 0.44 2.93 0.00
8 0.79 0.29 0.32 0.19 7.70* 0.71 0.00
9 0.41 0.95 1.76 3.88* 0.10 2.89 0.00
10 0.52 1.18 0.48 3.77* 0.25 3.80 0.00
11 0.85 1.04 1.70* 0.64 0.81 4.96 0.00
12 0.16 0.24 0.61 0.40 6.63* 1.96 0.00
13 0.61 0.44 0.76 1.24 5.07* 1.89 0.00
14 0.64 0.48 0.52 5.18* 1.01 2.18 0.00
15 0.42 0.38 1.25* 0.23 0.37 7.35 0.00
16 0.63 0.50 4.35* 0.39 0.99 3.14 0.00
17 0.70 1.11* 0.45 0.87 0.31 6.56 0.00
18 0.29 0.65* 0.29 0.14 0.37 8.27 0.00
19 0.74 0.70 1.51 1.67* 0.78 4.59 0.00
20 0.55* 0.31 0.62 1.82 0.19 6.51 0.00
21 1.25 0.68 0.22 0.70* 1.64 5.51 0.01
22 0.74 0.84 0.56* 0.92 0.16 6.78 0.00
23 0.39 0.47* 0.41 0.30 0.33 8.10 0.00
24 0.16 2.06* 1.31 0.27 0.27 5.92 0.00
25 0.63 0.47 0.25* 0.16 2.47 6.01 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 Colorado
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 1 1
148.0 0 0 123.0 0 0 98.0 1 0
147.5 0 0 122.5 0 0 97.5 0 1
147.0 0 0 122.0 0 0 97.0 1 1
146.5 0 0 121.5 0 0 96.5 2 1
146.0 0 0 121.0 0 0 96.0 4 3
145.5 0 0 120.5 0 1 95.5 1 2
145.0 0 0 120.0 0 0 95.0 1 3
144.5 0 0 119.5 0 0 94.5 2 2
144.0 0 0 119.0 0 0 94.0 0 0
143.5 0 0 118.5 0 0 93.5 2 2
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 1 92.0 4 0
141.5 0 0 116.5 1 0 91.5 2 1
141.0 0 0 116.0 1 0 91.0 2 1
140.5 0 0 115.5 0 0 90.5 2 0
140.0 0 0 115.0 0 1 90.0 2 0
139.5 0 0 114.5 1 0 89.5 0 0
139.0 0 0 114.0 0 0 89.0 2 4
138.5 0 0 113.5 0 0 88.5 1 1
138.0 0 0 113.0 0 0 88.0 5 2
137.5 0 0 112.5 0 0 87.5 1 3
137.0 0 0 112.0 1 1 87.0 1 3
136.5 0 0 111.5 0 1 86.5 0 0
136.0 0 0 111.0 0 1 86.0 1 2
135.5 0 0 110.5 0 0 85.5 2 1
135.0 0 0 110.0 2 0 85.0 2 1
134.5 0 0 109.5 1 0 84.5 1 2
134.0 0 0 109.0 3 0 84.0 4 2
133.5 0 0 108.5 0 0 83.5 0 0
133.0 0 0 108.0 0 0 83.0 2 3
132.5 0 0 107.5 2 3 82.5 3 2
132.0 0 0 107.0 0 0 82.0 4 1
131.5 0 0 106.5 2 0 81.5 2 1
131.0 0 0 106.0 0 0 81.0 1 1
130.5 0 0 105.5 0 0 80.5 4 5
130.0 0 0 105.0 2 0 80.0 0 0
129.5 0 0 104.5 0 0 79.5 0 0
129.0 0 0 104.0 1 0 79.0 1 2
128.5 0 0 103.5 0 0 78.5 3 1
128.0 0 0 103.0 2 1 78.0 0 2
127.5 0 1 102.5 1 0 77.5 2 2
127.0 0 0 102.0 1 1 77.0 2 2
126.5 2 0 101.5 0 2 76.5 1 1
126.0 0 0 101.0 0 0 76.0 3 0
125.5 0 0 100.5 1 1 75.5 4 0
American Mathematics Competitions
2003 AMC 10 B Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 1 50.0 0 1 25.0 0 0
74.5 3 0 49.5 0 0 24.5 0 0
74.0 1 1 49.0 0 1 24.0 0 0
73.5 4 5 48.5 0 1 23.5 0 0
73.0 3 3 48.0 1 0 23.0 0 0
72.5 1 2 47.5 0 2 22.5 0 0
72.0 3 2 47.0 0 0 22.0 0 0
71.5 0 1 46.5 0 0 21.5 0 0
71.0 1 2 46.0 0 0 21.0 0 0
70.5 1 2 45.5 0 1 20.5 0 0
70.0 4 0 45.0 0 0 20.0 0 0
69.5 3 2 44.5 0 1 19.5 0 0
69.0 0 1 44.0 0 1 19.0 0 0
68.5 2 2 43.5 0 0 18.5 0 0
68.0 2 1 43.0 0 0 18.0 0 0
67.5 1 2 42.5 0 0 17.5 0 0
67.0 4 2 42.0 0 2 17.0 1 0
66.5 1 1 41.5 0 0 16.5 0 0
66.0 0 2 41.0 1 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 3 1 39.5 0 0 14.5 0 0
64.0 3 2 39.0 0 0 14.0 0 0
63.5 1 1 38.5 0 0 13.5 0 0
63.0 2 1 38.0 0 0 13.0 0 0
62.5 3 0 37.5 0 0 12.5 0 0
62.0 1 0 37.0 0 0 12.0 0 0
61.5 0 1 36.5 0 0 11.5 0 0
61.0 2 0 36.0 0 0 11.0 0 0
60.5 2 1 35.5 0 0 10.5 0 0
60.0 1 2 35.0 1 0 10.0 0 0
59.5 1 1 34.5 0 0 9.5 0 0
59.0 1 0 34.0 0 1 9.0 0 0
58.5 2 1 33.5 0 0 8.5 0 0
58.0 1 2 33.0 0 1 8.0 0 0
57.5 2 0 32.5 0 1 7.5 0 0
57.0 1 1 32.0 0 1 7.0 0 0
56.5 2 0 31.5 0 0 6.5 0 0
56.0 0 1 31.0 0 0 6.0 0 0
55.5 3 0 30.5 1 0 5.5 0 0
55.0 2 1 30.0 0 0 5.0 0 0
54.5 1 3 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 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 1 27.0 0 0 2.0 0 0
51.5 0 1 26.5 0 0 1.5 0 0
51.0 0 1 26.0 0 0 1.0 0 0
50.5 2 0 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 B Results for Colorado
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 1 0 0
127.0 0 0 0 0 0 0 0
126.5 0 0 0 0 1 1 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 0 0
121.0 0 0 0 0 0 0 0
120.5 0 0 0 1 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 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 1 0 0 0
116.0 0 0 0 0 0 1 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 0 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 1 0
111.0 0 0 0 0 1 0 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 0 1 1 0
109.5 0 0 0 0 0 1 0
109.0 0 0 0 0 1 3 0
108.5 0 0 0 0 0 0 0
108.0 0 0 0 0 0 0 0
107.5 0 0 0 1 2 2 0
107.0 0 0 0 0 0 0 0
106.5 0 0 0 1 0 1 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 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 0 0
103.0 0 0 0 0 1 2 0
102.5 0 0 0 0 1 0 0
102.0 0 0 1 0 0 1 0
101.5 0 0 0 1 0 1 0
101.0 0 0 0 0 0 0 0
100.5 0 0 0 1 1 1 0
100.0 0 0 0 0 0 1 0
99.5 0 0 0 0 0 3 0
99.0 0 0 0 0 0 1 0
98.5 0 0 0 0 1 1 0
98.0 0 0 0 0 0 1 0
97.5 0 0 0 0 0 1 0
97.0 0 0 0 0 0 2 0
96.5 0 0 0 0 1 2 0
96.0 0 0 0 0 2 5 0
95.5 0 0 0 0 1 2 0
95.0 0 0 0 2 1 1 0
94.5 0 0 0 1 0 3 0
94.0 0 0 0 0 0 0 0
93.5 0 0 0 0 1 3 0
93.0 0 0 0 0 1 1 0
92.5 0 0 0 0 0 0 0
92.0 0 0 0 1 0 3 0
91.5 0 0 0 1 0 1 1
91.0 0 0 0 0 0 3 0
90.5 0 0 0 0 0 3 0
90.0 0 0 0 1 0 1 0
89.5 0 0 0 0 0 0 0
89.0 0 1 0 2 2 2 0
88.5 0 0 0 1 0 1 0
88.0 0 0 0 0 0 6 1
87.5 0 0 1 1 0 2 0
87.0 0 0 0 0 0 3 1
86.5 0 0 0 0 0 0 0
86.0 0 0 0 2 0 1 0
85.5 0 0 0 3 0 1 0
85.0 0 0 0 0 1 2 0
84.5 0 0 0 2 1 0 0
84.0 0 0 0 0 1 3 2
83.5 0 0 0 0 0 0 0
83.0 0 0 0 0 1 5 0
82.5 0 0 0 0 0 5 0
82.0 0 0 0 0 3 2 0
81.5 0 0 1 1 0 0 1
81.0 0 0 0 1 0 1 0
80.5 0 0 0 2 0 6 1
80.0 0 0 0 0 0 0 0
79.5 0 0 0 0 0 0 0
79.0 0 0 0 0 0 4 0
78.5 0 0 2 0 0 2 0
78.0 0 0 0 0 1 1 0
77.5 0 0 0 1 0 2 1
77.0 0 0 3 0 0 1 0
76.5 0 0 0 0 0 2 0
76.0 0 0 0 0 1 2 0
75.5 0 0 0 0 1 3 0
75.0 0 0 1 0 0 2 1
74.5 0 0 0 0 0 3 0
74.0 0 0 0 1 0 0 1
73.5 0 0 1 1 2 5 0
73.0 0 0 0 2 0 3 1
72.5 0 0 1 1 0 1 0
72.0 0 0 0 0 1 4 0
71.5 0 0 0 0 0 1 0
71.0 0 0 0 0 0 1 2
70.5 0 0 0 2 0 1 0
70.0 0 0 0 0 1 2 1
69.5 0 0 0 0 2 3 0
69.0 0 0 0 0 0 1 0
68.5 0 1 0 0 1 1 1
68.0 0 0 0 0 1 2 0
67.5 0 0 1 1 0 1 0
67.0 0 0 0 0 2 2 2
66.5 0 0 0 0 1 1 0
66.0 0 0 0 1 2 0 0
65.5 0 0 0 0 0 0 1
65.0 0 0 0 0 0 1 1
64.5 0 1 0 0 2 1 0
64.0 0 0 1 1 1 2 0
63.5 0 0 0 1 0 1 0
63.0 0 0 0 0 1 2 0
62.5 0 0 0 0 1 2 10
62.0 0 0 0 0 0 1 0
61.5 0 0 0 0 0 1 0
61.0 0 0 0 0 0 1 1
60.5 0 1 0 0 0 1 1
60.0 0 0 0 1 0 3 0
59.5 0 0 0 1 0 1 0
59.0 0 0 0 0 0 1 0
58.5 0 0 0 1 0 2 0
58.0 0 0 1 1 0 1 0
57.5 0 0 1 0 1 0 0
57.0 0 0 0 0 0 1 1
56.5 0 0 1 0 0 1 0
56.0 0 0 0 1 0 0 1
55.5 0 0 1 0 0 2 0
55.0 0 0 0 1 1 1 0
54.5 0 0 0 0 0 4 0
54.0 0 0 0 0 0 2 0
53.5 0 0 0 0 0 1 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 1 0
51.5 0 0 0 0 0 1 0
51.0 0 0 1 0 0 1 0
50.5 0 0 1 1 0 0 0
50.0 0 0 0 0 0 1 0
49.5 0 0 0 0 0 0 0
49.0 0 0 1 0 0 1 0
48.5 0 0 0 0 1 0 0
48.0 0 0 0 0 0 1 0
47.5 0 0 0 1 1 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 1
45.5 0 0 0 0 0 1 0
45.0 0 0 0 0 0 0 0
44.5 0 0 0 0 0 1 0
44.0 0 0 0 1 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 1 0 1 0
41.5 0 0 0 0 0 0 0
41.0 0 1 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 1 0
34.5 0 0 0 0 0 0 0
34.0 0 0 0 0 1 0 0
33.5 0 0 0 0 0 0 0
33.0 0 0 0 0 0 1 0
32.5 0 0 0 1 0 0 0
32.0 0 0 0 0 0 1 0
31.5 0 0 0 0 0 0 0
31.0 0 0 0 0 0 0 0
30.5 0 0 0 1 0 0 0
30.0 0 0 0 0 0 0 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 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 1 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 Colorado
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 0.03 0.16 9.31* 0.08 0.05 0.36 0.00
2 0.11 0.14 1.35 7.45* 0.30 0.66 0.00
3 0.41 5.88* 1.10 0.69 0.22 1.70 0.00
4 8.32* 0.25 0.25 0.05 0.05 1.07 0.00
5 0.36 0.36 4.40* 0.71 1.04 3.13 0.00
6 1.07 1.43 0.49 3.41* 0.60 2.99 0.00
7 0.41 4.81* 0.38 0.85 0.33 3.21 0.00
8 0.11 0.74* 0.27 0.58 0.60 7.69 0.00
9 0.27 2.94* 0.47 0.52 0.33 5.47 0.00
10 0.30 0.41 2.99* 1.21 0.49 4.59 0.00
11 4.73* 0.52 0.41 0.36 1.21 2.77 0.00
12 0.47 0.47 5.27* 0.22 0.25 3.32 0.00
13 2.86 0.85 0.19 0.52 1.18* 4.40 0.00
14 0.96 0.41 0.22 3.02* 0.25 5.14 0.00
15 1.84 1.90 0.25 0.91 2.64* 2.47 0.00
16 0.30 0.14 0.27 0.52 5.44* 3.32 0.00
17 0.14 2.06* 0.66 0.22 0.08 6.84 0.00
18 0.44 1.87 0.36 0.99* 0.82 5.52 0.00
19 0.22 0.16 0.49 0.47 0.36* 8.30 0.00
20 0.30 0.30 0.19 2.17* 0.71 6.32 0.00
21 1.81 0.25 0.38* 1.40 0.47 5.69 0.00
22 1.43 1.92* 1.62 0.66 0.36 4.01 0.00
23 0.30 0.55 0.22 1.43* 0.33 7.17 0.00
24 0.03 0.19 1.57 0.22 0.08* 7.91 0.00
25 1.48 2.14* 0.85 0.22 0.27 5.03 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 12 B Results for Colorado
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 1 0
148.5 0 0 123.5 0 0 98.5 1 1
148.0 0 0 123.0 1 0 98.0 1 0
147.5 0 0 122.5 0 0 97.5 0 1
147.0 0 0 122.0 0 0 97.0 3 1
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 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 0 0
143.0 0 0 118.0 0 0 93.0 0 1
142.5 0 0 117.5 0 0 92.5 1 0
142.0 0 0 117.0 0 0 92.0 0 0
141.5 0 0 116.5 0 0 91.5 0 0
141.0 0 0 116.0 0 0 91.0 0 1
140.5 0 0 115.5 0 0 90.5 0 0
140.0 0 0 115.0 0 0 90.0 6 0
139.5 0 0 114.5 0 0 89.5 0 0
139.0 0 0 114.0 0 0 89.0 2 1
138.5 0 0 113.5 0 0 88.5 0 1
138.0 0 0 113.0 0 0 88.0 0 1
137.5 0 0 112.5 1 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 6 0
136.0 0 0 111.0 0 0 86.0 0 0
135.5 0 0 110.5 0 0 85.5 0 0
135.0 0 0 110.0 1 0 85.0 2 0
134.5 0 0 109.5 0 0 84.5 1 1
134.0 0 0 109.0 2 0 84.0 4 1
133.5 0 0 108.5 0 0 83.5 0 1
133.0 0 0 108.0 0 0 83.0 3 1
132.5 1 0 107.5 1 0 82.5 0 0
132.0 0 0 107.0 0 0 82.0 3 2
131.5 0 0 106.5 1 0 81.5 2 1
131.0 0 0 106.0 0 0 81.0 1 1
130.5 0 0 105.5 1 1 80.5 3 1
130.0 0 0 105.0 0 0 80.0 1 0
129.5 0 0 104.5 0 0 79.5 2 3
129.0 1 0 104.0 1 0 79.0 1 2
128.5 0 0 103.5 0 0 78.5 2 0
128.0 0 0 103.0 0 0 78.0 4 3
127.5 0 0 102.5 1 0 77.5 0 0
127.0 0 0 102.0 2 0 77.0 9 4
126.5 2 0 101.5 0 0 76.5 1 0
126.0 0 0 101.0 1 0 76.0 0 3
125.5 0 0 100.5 1 0 75.5 1 2
American Mathematics Competitions
2003 AMC 12 B Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 5 50.0 0 0 25.0 0 0
74.5 2 3 49.5 2 0 24.5 0 0
74.0 1 0 49.0 0 0 24.0 0 0
73.5 4 1 48.5 1 0 23.5 0 0
73.0 2 3 48.0 2 0 23.0 0 0
72.5 4 1 47.5 1 0 22.5 0 0
72.0 4 2 47.0 1 0 22.0 0 0
71.5 2 4 46.5 0 0 21.5 0 0
71.0 5 1 46.0 0 0 21.0 0 0
70.5 1 1 45.5 0 1 20.5 0 0
70.0 4 8 45.0 2 1 20.0 0 0
69.5 0 2 44.5 1 0 19.5 0 0
69.0 0 1 44.0 0 0 19.0 0 0
68.5 1 5 43.5 0 0 18.5 0 0
68.0 2 1 43.0 0 1 18.0 0 0
67.5 2 3 42.5 1 0 17.5 0 0
67.0 3 1 42.0 2 2 17.0 0 0
66.5 2 3 41.5 0 0 16.5 0 0
66.0 2 5 41.0 0 0 16.0 0 0
65.5 2 1 40.5 0 1 15.5 0 0
65.0 3 4 40.0 0 0 15.0 0 0
64.5 0 2 39.5 0 0 14.5 0 0
64.0 1 3 39.0 0 0 14.0 0 0
63.5 1 2 38.5 2 0 13.5 0 0
63.0 2 2 38.0 0 1 13.0 0 0
62.5 1 3 37.5 0 0 12.5 0 0
62.0 1 1 37.0 0 0 12.0 0 0
61.5 4 1 36.5 0 0 11.5 0 0
61.0 0 0 36.0 4 0 11.0 0 0
60.5 3 0 35.5 0 0 10.5 0 0
60.0 1 1 35.0 0 0 10.0 0 0
59.5 1 0 34.5 0 0 9.5 0 0
59.0 1 1 34.0 0 1 9.0 0 0
58.5 2 0 33.5 0 0 8.5 0 0
58.0 2 1 33.0 0 0 8.0 0 0
57.5 2 2 32.5 0 0 7.5 0 0
57.0 1 4 32.0 0 0 7.0 0 0
56.5 2 1 31.5 0 0 6.5 0 0
56.0 1 3 31.0 0 0 6.0 0 0
55.5 2 3 30.5 0 0 5.5 0 0
55.0 0 0 30.0 1 0 5.0 0 0
54.5 1 2 29.5 0 0 4.5 0 0
54.0 0 2 29.0 0 0 4.0 0 0
53.5 1 1 28.5 0 0 3.5 0 0
53.0 2 1 28.0 0 0 3.0 0 0
52.5 2 1 27.5 0 0 2.5 0 0
52.0 0 3 27.0 0 0 2.0 0 0
51.5 0 1 26.5 1 0 1.5 0 0
51.0 0 1 26.0 0 0 1.0 0 0
50.5 0 2 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 B Results for Colorado
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 1 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 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 1 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 2 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 1 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 0 0 0 0
116.5 0 0 0 0 0 0 0 0 0 0
116.0 0 0 0 0 0 0 0 0 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 0
113.0 0 0 0 0 0 0 0 0 0 0
112.5 0 0 1 0 0 0 0 0 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 0 0 0 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 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 0 2 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 1 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 0 0 1 0 0
106.0 0 0 0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 0 2 0 0 0
105.0 0 0 0 0 0 0 0 0 0 0
104.5 0 0 0 0 0 0 0 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 0 0 0 0
102.5 0 0 0 0 0 0 0 1 0 0
102.0 0 0 0 0 0 1 1 0 0 0
101.5 0 0 0 0 0 0 0 0 0 0
101.0 0 0 0 0 0 0 0 1 0 0
100.5 0 0 0 0 0 0 0 1 0 0
100.0 0 0 0 0 0 0 0 0 0 0
99.5 0 0 0 0 0 0 0 1 0 0
99.0 0 0 0 0 0 0 1 0 0 0
98.5 0 0 0 0 0 0 0