American Mathematics Competitions
2003 AMC 10 A Results for Iowa
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1525
Number of unofficial participants: 0
Average score of participants: 72.0
Average score for female students is: 69.5 ( 700 Students)
Average score for male students is: 74.1 ( 786 Students)
Average score for unspecified gender is 74.1 ( 39 Students)
Average score for grade 10 is: 73.2 ( 783 Students)
Average score for grade 9 is: 70.8 ( 701 Students)
Average score for grade 8 and below is: 69.9 ( 29 Students)
Average score with unknown grade: 71.3 ( 12 Students)
AIME qualifying score = 119.0 or better
Number of AIME qualifers 8
Number of schools returning results 46
Average school winning score 100.43
American Mathematics Competitions
2003 AMC 12 A Results for Iowa
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2457
Number of unofficial participants: 138
Average score of participants: 73.2
Average score for female students is: 70.0 ( 1083 Students)
Average score for male students is: 75.9 ( 1340 Students)
Average score for unspecified gender is 69.2 ( 34 Students)
Average score for grade 12 is: 75.1 ( 902 Students)
Average score for grade 11 is: 72.7 ( 1212 Students)
Average score for grade 10 is: 69.4 ( 226 Students)
Average score for grade 9 is: 69.7 ( 98 Students)
Average score for grade 8 and below is: 92.8 ( 4 Students)
Average score with unknown grade: 72.4 ( 15 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 150
Number of schools returning results 68
Average school winning score 102.96
Average school team score 289.18
American Mathematics Competitions
2003 AMC 10 B Results for Iowa
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 321
Number of unofficial participants: 0
Average score of participants: 73.4
Average score for female students is: 68.4 ( 131 Students)
Average score for male students is: 77.5 ( 180 Students)
Average score for unspecified gender is 64.3 ( 10 Students)
Average score for grade 10 is: 74.5 ( 153 Students)
Average score for grade 9 is: 73.3 ( 133 Students)
Average score for grade 8 and below is: 69.7 ( 34 Students)
Average score with unknown grade: 40.0 ( 1 Student)
AIME qualifying score = 121.0 or better
Number of AIME qualifers 5
Number of schools returning results 16
Average school winning score 105.75
American Mathematics Competitions
2003 AMC 12 B Results for Iowa
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 712
Number of unofficial participants: 0
Average score of participants: 73.8
Average score for female students is: 70.6 ( 319 Students)
Average score for male students is: 76.9 ( 365 Students)
Average score for unspecified gender is 70.1 ( 28 Students)
Average score for grade 13 is: 80.5 ( 1 Student)
Average score for grade 12 is: 76.1 ( 226 Students)
Average score for grade 11 is: 73.0 ( 297 Students)
Average score for grade 10 is: 75.6 ( 130 Students)
Average score for grade 9 is: 65.4 ( 43 Students)
Average score with unknown grade: 64.1 ( 15 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 44
Number of schools returning results 21
Average school winning score 104.57
Average school team score 285.74
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 0 0 0 1
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 1
140.0 0 0 0 0
139.5 1 0 0 0
139.0 0 0 0 0
138.5 0 0 0 0
138.0 1 0 0 0
137.5 0 0 0 0
137.0 1 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 1 0 0
133.0 0 0 0 0
132.5 1 1 0 0
132.0 1 2 0 0
131.5 0 0 0 0
131.0 0 0 1 0
130.5 0 0 0 0
130.0 0 0 1 0
129.5 0 0 0 0
129.0 0 0 0 1
128.5 0 0 0 0
128.0 0 0 0 0
127.5 2 0 1 0
127.0 0 0 0 0
126.5 1 1 1 1
126.0 0 0 0 0
125.5 1 1 0 0
125.0 1 0 0 0
124.5 0 0 0 0
124.0 0 0 0 1
123.5 0 0 0 0
123.0 1 0 2 0
122.5 0 0 0 0
122.0 2 0 0 0
121.5 1 0 0 0
121.0 0 0 0 0
120.5 2 0 2 0
120.0 0 0 0 0
119.5 0 0 0 0
119.0 0 0 0 0
118.5 1 0 1 0
118.0 0 1 1 1
117.5 0 0 0 0
117.0 1 0 0 0
116.5 1 0 0 0
116.0 4 2 0 0
115.5 1 1 0 0
115.0 3 1 0 0
114.5 2 2 3 0
114.0 0 0 0 0
113.5 0 0 6 0
113.0 1 0 0 0
112.5 2 1 2 0
112.0 1 0 1 0
111.5 8 3 0 0
111.0 3 2 4 1
110.5 0 0 0 0
110.0 4 2 0 1
109.5 0 0 1 0
109.0 6 0 3 0
108.5 4 0 1 1
108.0 2 2 2 1
107.5 5 0 1 1
107.0 0 0 0 1
106.5 9 4 6 2
106.0 1 0 1 0
105.5 7 1 1 2
105.0 4 1 2 1
104.5 1 1 1 0
104.0 11 3 8 0
103.5 0 0 0 0
103.0 11 5 0 2
102.5 0 1 3 1
102.0 18 3 3 3
101.5 6 0 4 1
101.0 4 1 0 3
100.5 8 1 7 1
100.0 1 0 0 2
99.5 15 6 4 3
99.0 2 0 2 0
98.5 12 3 4 1
98.0 4 1 7 2
97.5 6 1 2 1
97.0 13 0 8 2
96.5 4 0 3 0
96.0 15 3 12 1
95.5 5 0 8 0
95.0 22 3 3 2
94.5 17 7 12 2
94.0 3 0 4 0
93.5 22 4 10 1
93.0 2 0 3 0
92.5 28 4 10 4
92.0 4 1 11 1
91.5 14 3 5 3
91.0 13 5 15 2
90.5 4 3 2 0
90.0 21 7 12 5
89.5 4 1 6 1
89.0 41 8 14 5
88.5 16 3 10 3
88.0 13 7 6 3
87.5 16 1 15 3
87.0 12 3 8 0
86.5 30 7 16 1
86.0 9 1 10 1
85.5 19 9 9 4
85.0 16 3 20 4
84.5 16 8 7 4
84.0 24 8 15 1
83.5 16 4 7 3
83.0 40 11 18 6
82.5 14 1 14 1
82.0 33 10 15 3
81.5 22 8 18 4
81.0 29 7 13 1
80.5 39 10 15 5
80.0 18 4 7 1
79.5 25 6 16 4
79.0 19 5 10 2
78.5 33 6 17 3
78.0 19 11 21 6
77.5 19 8 20 2
77.0 44 17 18 2
76.5 15 7 16 2
76.0 33 14 19 3
75.5 22 3 19 2
75.0 42 12 13 4
74.5 34 14 20 3
74.0 32 13 19 3
73.5 39 13 31 7
73.0 23 8 18 4
72.5 31 15 24 4
72.0 31 7 14 3
71.5 38 10 28 7
71.0 31 7 18 5
70.5 39 16 14 5
70.0 27 12 22 3
69.5 36 6 23 2
69.0 35 17 21 0
68.5 28 5 18 5
68.0 41 14 15 3
67.5 30 15 19 1
67.0 17 11 14 4
66.5 25 18 25 4
66.0 34 6 24 4
65.5 30 15 23 1
65.0 21 15 24 5
64.5 36 9 15 2
64.0 25 10 14 4
63.5 37 5 11 1
63.0 29 11 18 2
62.5 29 12 24 3
62.0 33 4 10 2
61.5 27 3 13 0
61.0 22 5 18 1
60.5 31 10 17 0
60.0 23 5 13 4
59.5 29 7 20 10
59.0 32 6 12 2
58.5 16 3 17 4
58.0 22 7 21 3
57.5 16 6 9 2
57.0 24 6 9 3
56.5 21 6 22 5
56.0 17 2 7 4
55.5 15 6 14 4
55.0 10 1 7 3
54.5 13 1 14 1
54.0 16 5 16 2
53.5 11 0 1 1
53.0 16 4 6 2
52.5 7 1 8 4
52.0 10 2 11 0
51.5 6 1 10 1
51.0 13 1 4 0
50.5 12 2 6 0
50.0 10 0 4 0
49.5 6 2 7 1
49.0 7 3 3 1
48.5 11 1 8 0
48.0 11 4 13 5
47.5 4 2 5 1
47.0 8 0 4 1
46.5 0 1 2 1
46.0 7 1 4 1
45.5 6 1 6 1
45.0 6 1 4 0
44.5 1 0 7 0
44.0 6 1 6 0
43.5 3 0 4 1
43.0 4 1 7 2
42.5 9 1 0 2
42.0 13 3 6 1
41.5 5 2 2 1
41.0 2 1 2 0
40.5 3 1 0 0
40.0 1 1 3 1
39.5 0 0 1 2
39.0 1 1 1 0
38.5 1 0 2 0
38.0 0 0 3 0
37.5 4 1 0 0
37.0 1 0 2 1
36.5 3 0 2 1
36.0 4 3 3 4
35.5 2 0 2 0
35.0 1 0 1 1
34.5 2 1 0 0
34.0 4 1 1 0
33.5 0 0 1 0
33.0 0 0 1 0
32.5 2 1 1 0
32.0 0 0 0 0
31.5 1 0 1 0
31.0 0 0 0 0
30.5 2 0 0 0
30.0 3 1 3 1
29.5 0 0 0 0
29.0 1 0 1 0
28.5 0 0 0 0
28.0 1 0 0 1
27.5 0 0 0 1
27.0 1 0 0 0
26.5 0 0 0 0
26.0 0 0 0 0
25.5 1 0 0 0
25.0 0 0 0 0
24.5 0 0 0 1
24.0 4 0 0 1
23.5 0 0 0 0
23.0 0 0 1 0
22.5 0 0 0 0
22.0 1 0 0 0
21.5 0 0 0 0
21.0 0 0 0 0
20.5 0 0 0 0
20.0 0 0 0 0
19.5 0 0 0 0
19.0 0 0 0 0
18.5 0 0 0 0
18.0 1 0 1 0
17.5 0 0 0 0
17.0 1 0 0 0
16.5 0 0 0 0
16.0 1 0 0 0
15.5 0 0 0 0
15.0 0 0 0 0
14.5 0 0 0 0
14.0 0 0 0 0
13.5 0 0 0 0
13.0 0 0 0 0
12.5 0 0 0 0
12.0 1 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 Iowa
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 0
148.5 0 0 123.5 0 0 98.5 2 2
148.0 0 0 123.0 2 0 98.0 4 3
147.5 0 0 122.5 0 0 97.5 2 0
147.0 0 0 122.0 0 0 97.0 4 3
146.5 0 0 121.5 0 0 96.5 1 2
146.0 0 0 121.0 0 0 96.0 9 3
145.5 0 0 120.5 1 1 95.5 5 2
145.0 0 0 120.0 0 0 95.0 2 1
144.5 0 0 119.5 0 0 94.5 8 4
144.0 0 0 119.0 0 0 94.0 2 2
143.5 0 0 118.5 1 0 93.5 9 1
143.0 0 0 118.0 1 0 93.0 2 1
142.5 0 0 117.5 0 0 92.5 6 3
142.0 0 0 117.0 0 0 92.0 6 3
141.5 0 0 116.5 0 0 91.5 3 2
141.0 0 0 116.0 0 0 91.0 10 5
140.5 0 0 115.5 0 0 90.5 1 1
140.0 0 0 115.0 0 0 90.0 8 4
139.5 0 0 114.5 1 2 89.5 5 1
139.0 0 0 114.0 0 0 89.0 8 6
138.5 0 0 113.5 5 1 88.5 7 3
138.0 0 0 113.0 0 0 88.0 3 3
137.5 0 0 112.5 2 0 87.5 10 4
137.0 0 0 112.0 1 0 87.0 4 4
136.5 0 0 111.5 0 0 86.5 10 6
136.0 0 0 111.0 2 1 86.0 5 5
135.5 0 0 110.5 0 0 85.5 6 3
135.0 0 0 110.0 0 0 85.0 9 10
134.5 0 0 109.5 1 0 84.5 3 4
134.0 0 0 109.0 1 2 84.0 7 8
133.5 0 0 108.5 0 1 83.5 4 3
133.0 0 0 108.0 2 0 83.0 7 10
132.5 0 0 107.5 1 0 82.5 10 4
132.0 0 0 107.0 0 0 82.0 8 7
131.5 0 0 106.5 5 1 81.5 9 9
131.0 1 0 106.0 1 0 81.0 5 7
130.5 0 0 105.5 1 0 80.5 7 8
130.0 1 0 105.0 2 0 80.0 3 4
129.5 0 0 104.5 1 0 79.5 9 5
129.0 0 0 104.0 5 2 79.0 5 5
128.5 0 0 103.5 0 0 78.5 9 6
128.0 0 0 103.0 0 0 78.0 12 9
127.5 1 0 102.5 3 0 77.5 14 6
127.0 0 0 102.0 2 1 77.0 9 9
126.5 1 0 101.5 2 2 76.5 10 6
126.0 0 0 101.0 0 0 76.0 12 6
125.5 0 0 100.5 3 4 75.5 12 6
American Mathematics Competitions
2003 AMC 10 A Results for Iowa
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 5 8 50.0 1 3 25.0 0 0
74.5 8 11 49.5 3 4 24.5 0 0
74.0 6 12 49.0 1 2 24.0 0 0
73.5 14 15 48.5 4 3 23.5 0 0
73.0 9 8 48.0 5 7 23.0 0 1
72.5 11 13 47.5 3 2 22.5 0 0
72.0 8 6 47.0 3 1 22.0 0 0
71.5 16 12 46.5 1 1 21.5 0 0
71.0 11 7 46.0 3 1 21.0 0 0
70.5 5 9 45.5 3 3 20.5 0 0
70.0 8 14 45.0 2 2 20.0 0 0
69.5 13 9 44.5 3 4 19.5 0 0
69.0 7 14 44.0 2 4 19.0 0 0
68.5 9 8 43.5 3 1 18.5 0 0
68.0 6 8 43.0 0 7 18.0 0 1
67.5 11 8 42.5 0 0 17.5 0 0
67.0 9 4 42.0 4 2 17.0 0 0
66.5 9 15 41.5 2 0 16.5 0 0
66.0 11 13 41.0 2 0 16.0 0 0
65.5 11 11 40.5 0 0 15.5 0 0
65.0 15 8 40.0 1 2 15.0 0 0
64.5 6 9 39.5 0 1 14.5 0 0
64.0 7 6 39.0 1 0 14.0 0 0
63.5 4 7 38.5 0 2 13.5 0 0
63.0 11 7 38.0 2 1 13.0 0 0
62.5 13 11 37.5 0 0 12.5 0 0
62.0 6 4 37.0 2 0 12.0 0 0
61.5 5 7 36.5 2 0 11.5 0 0
61.0 5 13 36.0 1 2 11.0 0 0
60.5 6 11 35.5 0 2 10.5 0 0
60.0 8 5 35.0 1 0 10.0 0 0
59.5 7 11 34.5 0 0 9.5 0 0
59.0 7 5 34.0 0 1 9.0 0 0
58.5 6 10 33.5 0 1 8.5 0 0
58.0 12 9 33.0 0 1 8.0 0 0
57.5 1 8 32.5 1 0 7.5 0 0
57.0 5 4 32.0 0 0 7.0 0 0
56.5 10 11 31.5 0 1 6.5 0 0
56.0 2 5 31.0 0 0 6.0 0 0
55.5 4 10 30.5 0 0 5.5 0 0
55.0 2 4 30.0 1 2 5.0 0 0
54.5 4 10 29.5 0 0 4.5 0 0
54.0 10 6 29.0 1 0 4.0 0 0
53.5 1 0 28.5 0 0 3.5 0 0
53.0 1 5 28.0 0 0 3.0 0 0
52.5 5 3 27.5 0 0 2.5 0 0
52.0 5 6 27.0 0 0 2.0 0 0
51.5 7 2 26.5 0 0 1.5 0 0
51.0 3 1 26.0 0 0 1.0 0 0
50.5 2 4 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for Iowa
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 1 0
127.0 0 0 0 0 0 0 0
126.5 0 0 0 1 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 1 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 1 1 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 1 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 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 2 1 0
114.0 0 0 0 0 0 0 0
113.5 0 0 0 0 3 3 0
113.0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 2 0
112.0 0 0 0 0 1 0 0
111.5 0 0 0 0 0 0 0
111.0 0 0 0 0 1 3 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 1 0
109.0 0 0 0 0 1 2 0
108.5 0 0 0 0 0 1 0
108.0 0 0 0 1 1 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 0 6 0
106.0 0 0 0 0 0 1 0
105.5 0 0 0 0 1 0 0
105.0 0 0 0 0 1 1 0
104.5 0 0 0 0 0 1 0
104.0 0 0 0 0 5 3 0
103.5 0 0 0 0 0 0 0
103.0 0 0 0 0 0 0 0
102.5 0 0 0 0 1 2 0
102.0 0 0 0 0 2 1 0
101.5 0 0 0 0 0 4 0
101.0 0 0 0 0 0 0 0
100.5 0 0 0 0 5 2 0
100.0 0 0 0 0 0 0 0
99.5 0 0 0 0 0 4 0
99.0 0 0 0 0 0 2 0
98.5 0 0 0 0 2 2 0
98.0 0 0 0 0 2 5 0
97.5 0 0 0 0 2 0 0
97.0 0 0 0 0 2 6 0
96.5 0 0 0 0 0 3 0
96.0 0 0 0 0 7 5 0
95.5 0 0 0 0 3 5 0
95.0 0 0 0 0 2 1 0
94.5 0 0 0 0 7 5 0
94.0 0 0 0 0 0 4 0
93.5 0 0 0 0 5 5 0
93.0 0 0 0 0 1 2 0
92.5 0 0 0 2 3 4 1
92.0 0 0 0 1 6 4 0
91.5 0 0 0 0 3 2 0
91.0 0 0 0 0 7 8 0
90.5 0 0 0 0 2 0 0
90.0 0 0 0 0 5 7 0
89.5 0 0 0 0 2 4 0
89.0 0 0 0 0 4 9 1
88.5 0 0 0 0 5 5 0
88.0 0 0 0 0 2 4 0
87.5 0 0 0 0 4 10 1
87.0 0 0 0 0 2 6 0
86.5 0 0 0 0 7 9 0
86.0 0 0 0 0 6 4 0
85.5 0 0 0 0 5 4 0
85.0 0 0 0 0 11 9 0
84.5 0 0 0 0 2 5 0
84.0 0 0 0 0 6 9 0
83.5 0 0 0 0 4 3 0
83.0 0 0 0 0 7 11 0
82.5 0 0 0 0 5 8 1
82.0 0 0 0 0 8 7 0
81.5 0 0 0 0 11 7 0
81.0 0 0 0 1 7 5 0
80.5 0 0 0 0 10 5 0
80.0 0 0 0 0 2 5 0
79.5 0 0 0 1 10 5 0
79.0 0 0 0 0 4 6 0
78.5 0 0 0 0 6 11 0
78.0 0 0 0 0 12 9 0
77.5 0 0 0 1 10 9 0
77.0 0 0 0 0 7 11 0
76.5 0 0 0 0 7 9 0
76.0 0 0 0 0 9 9 1
75.5 0 0 0 0 5 14 0
75.0 0 0 0 0 8 5 0
74.5 0 0 0 1 8 10 1
74.0 0 0 0 0 9 10 0
73.5 0 0 0 0 14 17 0
73.0 0 0 0 1 9 8 0
72.5 0 0 0 1 11 12 0
72.0 0 0 0 0 6 8 0
71.5 0 0 0 0 8 20 0
71.0 0 0 0 0 6 12 0
70.5 0 0 0 0 6 8 0
70.0 0 0 0 1 11 10 0
69.5 0 0 0 0 7 16 0
69.0 0 0 0 0 9 12 0
68.5 0 0 0 0 7 11 0
68.0 0 0 0 1 10 4 0
67.5 0 0 0 0 10 9 0
67.0 0 0 0 0 6 8 0
66.5 0 0 0 1 11 13 0
66.0 0 0 0 2 10 11 1
65.5 0 0 0 1 10 12 0
65.0 0 0 0 1 10 12 1
64.5 0 0 0 1 8 6 0
64.0 0 0 0 1 7 5 1
63.5 0 0 0 0 6 5 0
63.0 0 0 0 1 11 6 0
62.5 0 0 0 0 11 13 0
62.0 0 0 0 0 3 7 0
61.5 0 0 0 0 7 6 0
61.0 0 0 0 0 9 9 0
60.5 0 0 0 0 9 8 0
60.0 0 0 0 0 6 7 0
59.5 0 0 0 0 10 9 1
59.0 0 0 0 1 7 4 0
58.5 0 0 0 0 4 13 0
58.0 0 0 0 1 10 10 0
57.5 0 0 0 0 3 6 0
57.0 0 0 0 0 5 4 0
56.5 0 0 0 0 9 13 0
56.0 0 0 0 0 3 4 0
55.5 0 0 0 1 5 8 0
55.0 0 0 0 0 2 5 0
54.5 0 0 0 0 10 3 1
54.0 0 0 0 0 12 4 0
53.5 0 0 0 0 1 0 0
53.0 0 0 0 0 1 5 0
52.5 0 0 0 0 5 3 0
52.0 0 0 0 0 6 5 0
51.5 0 0 0 1 5 4 0
51.0 0 0 0 1 1 2 0
50.5 0 0 0 0 4 2 0
50.0 0 0 0 0 2 2 0
49.5 0 0 0 0 4 3 0
49.0 0 0 0 0 0 3 0
48.5 0 0 0 0 6 2 0
48.0 0 0 0 0 7 6 0
47.5 0 0 0 0 2 3 0
47.0 0 0 0 0 2 2 0
46.5 0 0 0 0 0 2 0
46.0 0 0 0 0 2 2 0
45.5 0 0 0 0 4 2 0
45.0 0 0 0 1 3 0 0
44.5 0 0 0 1 5 1 0
44.0 0 0 0 0 3 2 1
43.5 0 0 0 0 2 2 0
43.0 0 0 0 0 5 2 0
42.5 0 0 0 0 0 0 0
42.0 0 0 0 0 5 1 0
41.5 0 0 0 0 1 1 0
41.0 0 0 0 0 0 2 0
40.5 0 0 0 0 0 0 0
40.0 0 0 0 0 2 1 0
39.5 0 0 0 0 1 0 0
39.0 0 0 0 0 1 0 0
38.5 0 0 0 0 1 1 0
38.0 0 0 0 0 1 2 0
37.5 0 0 0 0 0 0 0
37.0 0 0 0 0 1 1 0
36.5 0 0 0 0 1 1 0
36.0 0 0 0 0 2 1 0
35.5 0 0 0 1 0 1 0
35.0 0 0 0 0 0 1 0
34.5 0 0 0 0 0 0 0
34.0 0 0 0 0 0 1 0
33.5 0 0 0 0 1 0 0
33.0 0 0 0 0 0 1 0
32.5 0 0 0 0 1 0 0
32.0 0 0 0 0 0 0 0
31.5 0 0 0 0 1 0 0
31.0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 0 0
30.0 0 0 0 0 2 1 0
29.5 0 0 0 0 0 0 0
29.0 0 0 0 0 0 1 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 1 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 1 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 Iowa
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 0.62 2.13 0.76 3.59* 0.38 2.51 0.01
2 0.02 8.75* 0.16 0.82 0.03 0.22 0.00
3 0.53 2.46 0.44 3.50* 0.28 2.79 0.00
4 4.62* 0.10 0.32 3.04 0.09 1.82 0.00
5 0.73 4.03* 0.14 0.09 0.09 4.91 0.00
6 1.51 1.56 1.90* 0.50 0.73 3.80 0.00
7 1.34 1.67* 0.92 1.66 0.45 3.97 0.00
8 1.46 0.58 0.19 0.25 5.93* 1.59 0.00
9 1.01* 0.45 1.82 1.50 0.09 5.14 0.00
10 0.52 0.45 0.70 1.19 3.86* 3.27 0.00
11 0.26 0.19 0.18 0.18 5.79* 3.39 0.01
12 2.29* 2.68 0.19 1.16 0.74 2.94 0.00
13 4.91* 0.30 0.25 0.14 0.03 4.36 0.00
14 1.20* 0.92 0.26 0.79 0.78 6.05 0.00
15 0.64 1.59 3.80* 0.55 0.62 2.79 0.00
16 0.65 0.71 1.78* 0.18 0.54 6.12 0.01
17 0.40 0.48* 0.14 0.16 0.42 8.40 0.00
18 0.45 0.37* 0.15 0.52 0.70 7.80 0.00
19 0.22 0.24 0.20* 0.11 0.10 9.12 0.00
20 0.43 0.19 0.28 0.30 0.41* 8.39 0.00
21 0.59 0.58 1.11 2.01* 2.26 3.45 0.01
22 0.62 2.38* 0.45 0.22 0.07 6.26 0.00
23 0.17 0.18 0.57* 0.48 0.54 8.07 0.00
24 0.14 0.33 0.60 0.45 4.66* 3.82 0.00
25 0.16 0.35* 0.22 0.15 0.16 8.95 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2003 AMC 12 A Results for Iowa
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 0 1
149.5 0 0 124.5 0 0 99.5 13 2
149.0 0 0 124.0 0 0 99.0 1 1
148.5 0 0 123.5 0 0 98.5 8 4
148.0 0 0 123.0 1 0 98.0 3 1
147.5 0 0 122.5 0 0 97.5 5 1
147.0 0 0 122.0 1 1 97.0 10 3
146.5 0 0 121.5 1 0 96.5 3 1
146.0 0 0 121.0 0 0 96.0 9 6
145.5 0 0 120.5 1 1 95.5 5 0
145.0 0 0 120.0 0 0 95.0 18 4
144.5 0 0 119.5 0 0 94.5 10 7
144.0 0 0 119.0 0 0 94.0 2 1
143.5 0 0 118.5 1 0 93.5 16 6
143.0 0 0 118.0 0 0 93.0 2 0
142.5 0 0 117.5 0 0 92.5 23 5
142.0 0 0 117.0 1 0 92.0 3 0
141.5 0 0 116.5 1 0 91.5 7 7
141.0 0 0 116.0 4 0 91.0 11 2
140.5 0 0 115.5 1 0 90.5 4 0
140.0 0 0 115.0 2 1 90.0 12 9
139.5 1 0 114.5 1 1 89.5 2 2
139.0 0 0 114.0 0 0 89.0 30 9
138.5 0 0 113.5 0 0 88.5 10 6
138.0 1 0 113.0 1 0 88.0 8 4
137.5 0 0 112.5 2 0 87.5 9 7
137.0 1 0 112.0 1 0 87.0 9 3
136.5 0 0 111.5 7 1 86.5 19 11
136.0 0 0 111.0 3 0 86.0 7 2
135.5 0 0 110.5 0 0 85.5 12 7
135.0 0 0 110.0 2 2 85.0 11 5
134.5 0 0 109.5 0 0 84.5 9 7
134.0 0 0 109.0 3 2 84.0 13 11
133.5 0 0 108.5 4 0 83.5 5 11
133.0 0 0 108.0 2 0 83.0 26 12
132.5 1 0 107.5 5 0 82.5 8 6
132.0 1 0 107.0 0 0 82.0 16 17
131.5 0 0 106.5 9 0 81.5 12 9
131.0 0 0 106.0 0 1 81.0 17 12
130.5 0 0 105.5 7 0 80.5 18 21
130.0 0 0 105.0 3 1 80.0 8 9
129.5 0 0 104.5 0 1 79.5 13 11
129.0 0 0 104.0 10 1 79.0 14 5
128.5 0 0 103.5 0 0 78.5 15 18
128.0 0 0 103.0 9 2 78.0 8 10
127.5 2 0 102.5 0 0 77.5 10 9
127.0 0 0 102.0 13 5 77.0 27 16
126.5 1 0 101.5 5 1 76.5 6 9
126.0 0 0 101.0 3 1 76.0 22 11
125.5 1 0 100.5 7 1 75.5 7 15
American Mathematics Competitions
2003 AMC 12 A Results for Iowa
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 17 25 50.0 4 6 25.0 0 0
74.5 15 18 49.5 4 2 24.5 0 0
74.0 15 17 49.0 2 5 24.0 3 1
73.5 20 19 48.5 5 6 23.5 0 0
73.0 8 15 48.0 6 5 23.0 0 0
72.5 15 16 47.5 3 1 22.5 0 0
72.0 16 14 47.0 3 5 22.0 1 0
71.5 21 16 46.5 0 0 21.5 0 0
71.0 15 16 46.0 4 3 21.0 0 0
70.5 22 17 45.5 0 6 20.5 0 0
70.0 13 14 45.0 3 3 20.0 0 0
69.5 17 18 44.5 0 1 19.5 0 0
69.0 14 21 44.0 3 3 19.0 0 0
68.5 12 16 43.5 2 1 18.5 0 0
68.0 17 23 43.0 3 1 18.0 1 0
67.5 19 9 42.5 2 7 17.5 0 0
67.0 10 7 42.0 7 6 17.0 1 0
66.5 15 9 41.5 3 2 16.5 0 0
66.0 20 13 41.0 1 1 16.0 0 1
65.5 12 17 40.5 0 3 15.5 0 0
65.0 10 11 40.0 0 1 15.0 0 0
64.5 14 22 39.5 0 0 14.5 0 0
64.0 11 14 39.0 0 1 14.0 0 0
63.5 16 19 38.5 1 0 13.5 0 0
63.0 10 19 38.0 0 0 13.0 0 0
62.5 12 16 37.5 2 2 12.5 0 0
62.0 17 16 37.0 0 1 12.0 1 0
61.5 13 13 36.5 3 0 11.5 0 0
61.0 11 11 36.0 0 2 11.0 0 0
60.5 14 17 35.5 0 2 10.5 0 0
60.0 10 13 35.0 0 1 10.0 0 0
59.5 12 17 34.5 1 1 9.5 0 0
59.0 21 10 34.0 2 2 9.0 0 0
58.5 8 8 33.5 0 0 8.5 0 0
58.0 14 8 33.0 0 0 8.0 0 0
57.5 7 7 32.5 2 0 7.5 0 0
57.0 8 16 32.0 0 0 7.0 0 0
56.5 14 7 31.5 0 1 6.5 0 0
56.0 7 9 31.0 0 0 6.0 0 0
55.5 7 8 30.5 1 1 5.5 0 0
55.0 4 6 30.0 2 0 5.0 0 0
54.5 6 7 29.5 0 0 4.5 0 0
54.0 7 9 29.0 0 1 4.0 0 0
53.5 5 6 28.5 0 0 3.5 0 0
53.0 5 10 28.0 0 1 3.0 0 0
52.5 6 1 27.5 0 0 2.5 0 0
52.0 5 5 27.0 1 0 2.0 0 0
51.5 3 3 26.5 0 0 1.5 0 0
51.0 9 4 26.0 0 0 1.0 0 0
50.5 6 6 25.5 1 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for Iowa
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 1 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 1 0 0
137.5 0 0 0 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 0 1 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 1 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 0 0 0 0
128.5 0 0 0 0 0 0 0 0 0 0
128.0 0 0 0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 1 1 0 0
127.0 0 0 0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 0 1 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 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 1 1 0 0
121.5 0 0 0 0 0 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 1 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 0 1 0 0
118.0 0 0 0 0 0 0 0 0 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 1 0 0 0
116.5 0 0 0 0 1 0 0 0 0 0
116.0 0 0 0 0 0 1 3 0 0 0
115.5 0 0 0 0 0 0 1 0 0 0
115.0 0 0 0 0 0 0 2 1 0 0
114.5 0 0 0 0 0 0 2 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 1 0 0 0
112.5 0 0 0 0 0 0 1 1 0 0
112.0 0 0 0 0 0 0 0 1 0 0
111.5 0 0 0 0 0 0 4 4 0 0
111.0 0 0 0 0 0 2 0 1 0 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 2 2 0 0
109.5 0 0 0 0 0 0 0 0 0 0
109.0 0 0 0 0 0 1 3 2 0 0
108.5 0 0 0 0 0 0 2 2 0 0
108.0 0 0 0 0 1 0 0 1 0 0
107.5 0 0 0 0 0 0 2 3 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 2 2 5 0 0
106.0 0 0 0 0 0 0 0 0 0 1
105.5 0 0 0 0 1 1 1 3 0 1
105.0 0 0 0 0 0 0 2 2 0 0
104.5 0 0 0 0 0 0 0 1 0 0
104.0 0 0 0 0 0 0 4 7 0 0
103.5 0 0 0 0 0 0 0 0 0 0
103.0 0 0 0 0 0 0 6 5 0 0
102.5 0 0 0 0 0 0 0 0 0 0
102.0 0 1 0 0 0 1 11 5 0 0
101.5 0 0 0 0 0 0 3 3 0 0
101.0 0 0 0 0 0 0 1 3 0 0
100.5 0 0 0 0 2 1 2 3 0 0
100.0 0 0 0 0 0 0 1 0 0 0
99.5 0 0 0 0 0 2 8 5 0 0
99.0 0 0 0 0 0 0 1 1 0 0
98.5 0 0 0 0 0 2 6 4 0 0
98.0 0 0 0 0 1 0 2 1 0 0
97.5 0 0 0 0 0 0 4 2 0 0
97.0 0 0 1 0 0 0 5 7 0 0
96.5 0 0 0 0 0 1 3 0 0 0
96.0 0 0 0 0 1 0 5 9 0 0
95.5 0 0 0 0 0 0 3 2 0 0
95.0 0 0 0 0 0 0 10 12 0 0
94.5 0 0 0 0 1 2 4 10 0 0
94.0 0 0 0 0 0 1 2 0 0 0
93.5 0 0 0 0 2 0 9 11 0 0
93.0 0 0 0 0 0 0 2 0 0 0
92.5 0 0 0 0 0 2 18 8 0 0
92.0 0 0 0 0 0 0 3 1 0 0
91.5 0 0 0 0 1 0 5 8 0 0
91.0 0 0 0 0 1 0 7 5 0 0
90.5 0 0 0 0 1 0 1 2 0 0
90.0 0 0 0 0 0 1 11 9 0 0
89.5 0 0 0 0 0 0 2 1 0 1
89.0 0 0 0 0 0 1 24 16 0 0
88.5 0 0 0 0 0 0 7 9 0 0
88.0 0 0 0 0 1 0 3 9 0 0
87.5 0 0 1 0 0 0 10 5 0 0
87.0 0 0 0 0 0 1 6 5 0 0
86.5 0 0 0 0 0 3 13 14 0 0
86.0 0 0 0 0 0 2 6 1 0 0
85.5 0 0 0 0 0 2 10 7 0 0
85.0 0 0 0 0 2 2 5 7 0 0
84.5 0 0 0 1 1 2 7 5 0 0
84.0 0 0 0 0 0 0 13 11 0 0
83.5 0 0 0 0 0 1 6 9 0 0
83.0 0 0 0 0 2 3 20 15 0 0
82.5 0 0 0 0 0 0 8 6 0 0
82.0 0 0 0 0 1 0 20 12 0 0
81.5 0 0 0 0 0 2 9 11 0 0
81.0 0 0 0 0 2 1 11 15 0 0
80.5 0 0 0 0 1 3 19 16 0 0
80.0 0 0 0 0 0 0 8 10 0 0
79.5 0 0 0 0 1 1 15 7 0 1
79.0 0 0 0 0 0 1 8 10 0 0
78.5 0 0 0 0 3 2 13 15 0 0
78.0 0 0 0 0 0 0 10 8 0 1
77.5 0 0 0 0 0 4 10 5 0 0
77.0 0 0 0 0 0 4 27 13 0 0
76.5 0 0 0 0 1 0 6 8 0 0
76.0 0 0 0 0 1 4 12 16 0 0
75.5 0 0 0 0 0 2 11 9 0 0
75.0 0 0 0 0 2 2 21 16 0 1
74.5 0 0 0 0 2 1 16 15 0 0
74.0 0 0 0 0 0 3 19 10 0 0
73.5 0 0 0 0 3 5 19 12 0 0
73.0 0 0 0 0 0 3 11 9 0 0
72.5 0 0 0 0 1 6 15 9 0 0
72.0 0 0 0 0 0 1 18 12 0 0
71.5 0 0 0 0 1 3 23 11 0 0
71.0 0 0 0 0 0 4 14 13 0 0
70.5 0 0 0 0 1 7 23 8 0 0
70.0 0 0 0 0 0 1 15 10 0 1
69.5 0 0 0 0 1 5 19 11 0 0
69.0 0 0 0 0 1 8 16 9 0 1
68.5 0 0 0 0 2 1 15 10 0 0
68.0 0 0 0 0 1 8 15 17 0 0
67.5 0 0 0 0 1 1 19 9 0 0
67.0 0 0 0 0 0 2 9 6 0 0
66.5 0 0 0 0 1 6 11 7 0 0
66.0 0 0 0 0 3 3 18 10 0 0
65.5 0 0 0 0 3 6 16 5 0 0
65.0 0 0 0 0 0 2 12 7 0 0
64.5 0 0 0 0 2 2 19 13 0 0
64.0 0 0 0 0 2 3 14 6 0 0
63.5 0 0 0 0 2 4 23 7 0 1
63.0 0 0 0 0 5 4 11 8 0 1
62.5 0 0 0 0 0 3 17 8 0 1
62.0 0 0 0 0 1 1 15 16 0 0
61.5 0 0 0 0 1 2 15 8 0 1
61.0 0 0 0 0 2 1 12 7 0 0
60.5 0 0 0 0 0 4 17 10 0 0
60.0 0 0 0 0 0 4 12 7 0 0
59.5 0 0 0 0 2 5 13 9 0 0
59.0 0 0 0 0 1 4 14 13 0 0
58.5 0 0 0 0 0 3 9 4 0 0
58.0 0 0 0 0 2 5 9 6 0 0
57.5 0 0 0 0 0 0 10 5 0 1
57.0 0 0 0 0 3 3 10 8 0 0
56.5 0 0 0 0 1 4 11 5 0 0
56.0 0 0 0 0 1 3 8 4 0 1
55.5 0 0 0 0 0 2 4 9 0 0
55.0 0 0 0 0 1 0 5 4 0 0
54.5 0 0 0 0 0 2 7 4 0 0
54.0 0 0 0 0 2 3 6 5 0 0
53.5 0 0 0 0 1 2 5 3 0 0
53.0 0 0 0 0 1 2 10 3 0 0
52.5 0 0 0 0 0 0 4 3 0 0
52.0 0 0 0 0 1 2 4 3 0 0
51.5 0 0 0 0 0 1 2 3 0 0
51.0 0 0 0 0 0 1 7 5 0 0
50.5 0 0 0 0 0 1 5 6 0 0
50.0 0 0 0 0 0 2 2 5 0 1
49.5 0 0 0 0 0 0 4 2 0 0
49.0 0 0 0 0 1 0 4 2 0 0
48.5 0 0 0 0 2 3 6 0 0 0
48.0 0 0 0 0 2 1 7 1 0 0
47.5 0 0 0 0 0 0 3 1 0 0
47.0 0 0 0 0 1 1 2 4 0 0
46.5 0 0 0 0 0 0 0 0 0 0
46.0 0 0 0 0 1 0 3 3 0 0
45.5 0 0 0 0 0 2 3 1 0 0
45.0 0 0 0 0 0 0 5 1 0 0
44.5 0 0 0 0 0 0 1 0 0 0
44.0 0 0 0 0 0 0 3 3 0 0
43.5 0 0 0 0 0 0 1 2 0 0
43.0 0 0 0 0 0 0 1 3 0 0
42.5 0 0 0 0 0 1 6 2 0 0
42.0 0 0 0 0 2 0 8 3 0 0
41.5 0 0 0 0 0 0 3 2 0 0
41.0 0 0 0 0 1 0 0 1 0 0
40.5 0 0 0 0 0 0 0 3 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 1 0 0
38.5 0 0 0 0 0 0 0 1 0 0
38.0 0 0 0 0 0 0 0 0 0 0
37.5 0 0 0 0 0 0 2 2 0 0
37.0 0 0 0 0 0 0 1 0 0 0
36.5 0 0 0 0 0 1 1 1 0 0
36.0 0 0 0 0 0 0 2 2 0 0
35.5 0 0 0 0 0 1 0 1 0 0
35.0 0 0 0 0 0 0 1 0 0 0
34.5 0 0 0 0 1 0 1 0 0 0
34.0 0 0 0 0 0 0 3 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 1 0 1 0 0
32.0 0 0 0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 0 0 1 0 0
31.0 0 0 0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 0 2 0 0 0
30.0 0 0 0 0 1 0 2 0 0 0
29.5 0 0 0 0 0 0 0 0 0 0
29.0 0 0 0 0 0 0 0 1 0 0
28.5 0 0 0 0 0 0 0 0 0 0
28.0 0 0 0 0 0 0 1 0 0 0
27.5 0 0 0 0 0 0 0 0 0 0
27.0 0 0 0 0 0 1 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 1 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 1 0 1 2 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 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 1 0 0 0
17.5 0 0 0 0 0 0 0 0 0 0
17.0 0 0 0 0 0 1 0 0 0 0
16.5 0 0 0 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 1 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 1 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 Iowa
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 0.44 1.53 0.65 4.57* 0.44 2.37 0.00
2 0.03 9.00* 0.15 0.56 0.01 0.26 0.00
3 0.33 2.47 0.26 4.44* 0.24 2.23 0.01
4 4.82* 0.14 0.19 3.09 0.09 1.67 0.00
5 0.26 0.08 0.15 0.22 6.75* 2.54 0.00
6 1.32 1.33 2.53* 0.46 0.59 3.76 0.00
7 1.36 1.47* 0.83 1.72 0.27 4.35 0.00
8 1.20 0.51 0.26 0.23 6.21* 1.58 0.00
9 0.37 0.66 1.03 2.09* 0.16 5.69 0.00
10 0.46 1.02 0.42 2.52* 0.20 5.39 0.00
11 0.55 0.55 0.86* 0.24 0.98 6.82 0.00
12 0.09 0.27 0.55 0.44 6.06* 2.59 0.00
13 0.47 0.41 0.57 1.11 4.00* 3.44 0.00
14 0.84 0.31 0.47 3.20* 1.34 3.83 0.00
15 0.24 0.14 0.43* 0.13 0.15 8.90 0.00
16 0.49 0.34 3.94* 0.33 0.75 4.15 0.01
17 0.70 0.69* 0.29 0.50 0.20 7.62 0.00
18 0.15 0.33* 0.18 0.18 0.18 8.96 0.00
19 0.60 0.34 0.71 0.99* 0.28 7.08 0.00
20 0.46* 0.28 0.44 0.92 0.14 7.75 0.00
21 0.61 0.31 0.18 0.50* 1.58 6.83 0.00
22 0.53 0.37 0.35* 0.58 0.15 8.02 0.00
23 0.19 0.25* 0.18 0.19 0.18 9.01 0.00
24 0.10 1.20* 0.56 0.15 0.21 7.77 0.00
25 0.42 0.25 0.11* 0.04 1.64 7.52 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 Iowa
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 2 0
149.5 0 0 124.5 0 0 99.5 3 0
149.0 0 0 124.0 1 0 99.0 0 0
148.5 0 0 123.5 0 0 98.5 1 0
148.0 0 0 123.0 0 0 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 1 1
146.5 0 0 121.5 0 0 96.5 0 0
146.0 0 0 121.0 0 0 96.0 1 0
145.5 0 0 120.5 0 0 95.5 0 0
145.0 0 0 120.0 0 0 95.0 2 0
144.5 0 0 119.5 0 0 94.5 1 1
144.0 1 0 119.0 0 0 94.0 0 0
143.5 0 0 118.5 0 0 93.5 1 0
143.0 0 0 118.0 1 0 93.0 0 0
142.5 0 0 117.5 0 0 92.5 2 2
142.0 0 0 117.0 0 0 92.0 1 0
141.5 0 0 116.5 0 0 91.5 3 0
141.0 0 0 116.0 0 0 91.0 2 0
140.5 1 0 115.5 0 0 90.5 0 0
140.0 0 0 115.0 0 0 90.0 5 0
139.5 0 0 114.5 0 0 89.5 0 1
139.0 0 0 114.0 0 0 89.0 4 1
138.5 0 0 113.5 0 0 88.5 2 1
138.0 0 0 113.0 0 0 88.0 2 1
137.5 0 0 112.5 0 0 87.5 1 2
137.0 0 0 112.0 0 0 87.0 0 0
136.5 0 0 111.5 0 0 86.5 1 0
136.0 0 0 111.0 1 0 86.0 1 0
135.5 0 0 110.5 0 0 85.5 1 3
135.0 0 0 110.0 1 0 85.0 3 1
134.5 0 0 109.5 0 0 84.5 2 2
134.0 0 0 109.0 0 0 84.0 0 1
133.5 0 0 108.5 1 0 83.5 2 1
133.0 0 0 108.0 1 0 83.0 3 3
132.5 0 0 107.5 1 0 82.5 0 1
132.0 0 0 107.0 0 1 82.0 2 0
131.5 0 0 106.5 1 1 81.5 2 2
131.0 0 0 106.0 0 0 81.0 0 1
130.5 0 0 105.5 2 0 80.5 1 4
130.0 0 0 105.0 0 1 80.0 0 1
129.5 0 0 104.5 0 0 79.5 1 2
129.0 1 0 104.0 0 0 79.0 2 0
128.5 0 0 103.5 0 0 78.5 2 0
128.0 0 0 103.0 2 0 78.0 4 2
127.5 0 0 102.5 1 0 77.5 2 0
127.0 0 0 102.0 2 1 77.0 1 1
126.5 1 0 101.5 1 0 76.5 1 1
126.0 0 0 101.0 1 2 76.0 2 1
125.5 0 0 100.5 1 0 75.5 1 1
American Mathematics Competitions
2003 AMC 10 B Results for Iowa
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 2 50.0 0 0 25.0 0 0
74.5 1 2 49.5 1 0 24.5 0 1
74.0 1 1 49.0 0 1 24.0 0 1
73.5 2 5 48.5 0 0 23.5 0 0
73.0 2 2 48.0 2 3 23.0 0 0
72.5 1 3 47.5 0 1 22.5 0 0
72.0 2 1 47.0 1 0 22.0 0 0
71.5 7 0 46.5 0 1 21.5 0 0
71.0 3 2 46.0 0 1 21.0 0 0
70.5 3 2 45.5 0 1 20.5 0 0
70.0 0 3 45.0 0 0 20.0 0 0
69.5 2 0 44.5 0 0 19.5 0 0
69.0 0 0 44.0 0 0 19.0 0 0
68.5 3 2 43.5 0 1 18.5 0 0
68.0 2 1 43.0 2 0 18.0 0 0
67.5 0 1 42.5 1 1 17.5 0 0
67.0 2 2 42.0 1 0 17.0 0 0
66.5 2 2 41.5 0 1 16.5 0 0
66.0 1 1 41.0 0 0 16.0 0 0
65.5 1 0 40.5 0 0 15.5 0 0
65.0 2 2 40.0 0 0 15.0 0 0
64.5 1 1 39.5 1 1 14.5 0 0
64.0 1 3 39.0 0 0 14.0 0 0
63.5 0 1 38.5 0 0 13.5 0 0
63.0 1 1 38.0 0 0 13.0 0 0
62.5 2 0 37.5 0 0 12.5 0 0
62.0 1 1 37.0 1 0 12.0 0 0
61.5 0 0 36.5 0 1 11.5 0 0
61.0 0 1 36.0 3 1 11.0 0 0
60.5 0 0 35.5 0 0 10.5 0 0
60.0 1 3 35.0 1 0 10.0 0 0
59.5 7 3 34.5 0 0 9.5 0 0
59.0 1 1 34.0 0 0 9.0 0 0
58.5 3 1 33.5 0 0 8.5 0 0
58.0 2 1 33.0 0 0 8.0 0 0
57.5 0 2 32.5 0 0 7.5 0 0
57.0 1 2 32.0 0 0 7.0 0 0
56.5 3 2 31.5 0 0 6.5 0 0
56.0 3 1 31.0 0 0 6.0 0 0
55.5 2 2 30.5 0 0 5.5 0 0
55.0 1 2 30.0 0 0 5.0 0 0
54.5 0 1 29.5 0 0 4.5 0 0
54.0 1 1 29.0 0 0 4.0 0 0
53.5 0 1 28.5 0 0 3.5 0 0
53.0 1 1 28.0 0 1 3.0 0 0
52.5 1 3 27.5 0 1 2.5 0 0
52.0 0 0 27.0 0 0 2.0 0 0
51.5 1 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 Iowa
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 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 1 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 1 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 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 1 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 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 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 0 0 0
114.0 0 0 0 0 0 0 0
113.5 0 0 0 0 0 0 0
113.0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 0 0
112.0 0 0 0 0 0 0 0
111.5 0 0 0 0 0 0 0
111.0 0 0 0 0 1 0 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 0 1 0 0
109.5 0 0 0 0 0 0 0
109.0 0 0 0 0 0 0 0
108.5 0 0 1 0 0 0 0
108.0 0 0 0 1 0 0 0
107.5 0 0 0 0 1 0 0
107.0 0 0 0 0 0 1 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 2 0
105.0 0 0 0 0 0 1 0
104.5 0 0 0 0 0 0 0
104.0 0 0 0 0 0 0 0
103.5 0 0 0 0 0 0 0
103.0 0 0 0 1 1 0 0
102.5 0 0 0 0 0 1 0
102.0 0 0 0 0 1 2 0
101.5 0 0 0 0 1 0 0
101.0 0 0 0 0 2 1 0
100.5 0 0 0 0 0 1 0
100.0 0 0 0 0 1 1 0
99.5 0 0 0 0 1 2 0
99.0 0 0 0 0 0 0 0
98.5 0 0 0 0 1 0 0
98.0 0 0 0 0 1 1 0
97.5 0 0 0 0 1 0 0
97.0 0 0 0 0 0 2 0
96.5 0 0 0 0 0 0 0
96.0 0 0 0 0 0 1 0
95.5 0 0 0 0 0 0 0
95.0 0 0 0 0 0 2 0
94.5 0 0 1 0 1 0 0
94.0 0 0 0 0 0 0 0
93.5 0 0 0 0 0 1 0
93.0 0 0 0 0 0 0 0
92.5 0 0 0 0 3 1 0
92.0 0 0 0 0 0 1 0
91.5 0 0 0 0 1 2 0
91.0 0 0 0 0 1 1 0
90.5 0 0 0 0 0 0 0
90.0 0 0 0 0 1 4 0
89.5 0 0 0 0 1 0 0
89.0 0 0 0 0 3 2 0
88.5 0 0 0 1 1 1 0
88.0 0 0 0 0 1 2 0
87.5 0 0 0 1 1 1 0
87.0 0 0 0 0 0 0 0
86.5 0 0 0 0 1 0 0
86.0 0 0 0 0 0 1 0
85.5 0 0 0 1 2 1 0
85.0 0 0 0 1 0 3 0
84.5 0 0 0 0 1 3 0
84.0 0 0 0 0 1 0 0
83.5 0 0 0 0 0 3 0
83.0 0 0 0 1 3 2 0
82.5 0 0 0 0 0 1 0
82.0 0 0 1 0 0 2 0
81.5 0 0 0 1 0 3 0
81.0 0 0 0 0 0 1 0
80.5 0 0 0 0 3 2 0
80.0 0 0 0 0 1 0 0
79.5 0 0 0 0 2 2 0
79.0 0 0 0 0 1 1 0
78.5 0 0 0 0 1 2 0
78.0 0 0 0 0 3 3 0
77.5 0 0 0 0 2 0 0
77.0 0 0 0 0 2 0 0
76.5 0 0 0 0 2 0 0
76.0 0 0 0 0 2 1 0
75.5 0 0 0 1 0 1 0
75.0 0 0 0 0 2 2 0
74.5 0 0 0 0 1 2 0
74.0 0 0 0 0 2 1 0
73.5 0 0 0 0 2 5 0
73.0 0 0 0 1 1 2 0
72.5 0 0 0 0 0 4 0
72.0 0 0 0 0 0 3 0
71.5 0 0 0 0 4 3 0
71.0 0 0 0 0 2 3 0
70.5 0 0 0 1 1 3 0
70.0 0 0 0 0 3 0 0
69.5 0 0 0 0 2 0 0
69.0 0 0 0 0 0 0 0
68.5 0 1 1 1 1 1 0
68.0 0 0 0 0 1 2 0
67.5 0 0 0 1 0 0 0
67.0 0 0 0 1 3 0 0
66.5 0 0 0 0 3 1 0
66.0 0 0 0 1 2 1 0
65.5 0 0 0 0 0 1 0
65.0 0 0 0 0 1 4 0
64.5 0 0 0 0 1 1 0
64.0 0 0 0 0 3 1 0
63.5 0 0 0 1 0 0 0
63.0 0 0 1 0 0 1 0
62.5 0 0 0 0 0 3 0
62.0 0 0 0 0 2 0 0
61.5 0 0 0 0 0 0 0
61.0 0 0 0 0 1 0 0
60.5 0 0 0 0 0 0 0
60.0 0 0 0 0 3 1 0
59.5 0 0 0 0 4 6 0
59.0 0 0 0 0 2 0 0
58.5 0 0 0 0 3 1 0
58.0 0 0 0 0 2 1 0
57.5 0 0 1 0 1 0 0
57.0 0 0 0 0 1 2 0
56.5 0 0 0 0 1 4 0
56.0 0 0 0 0 2 2 0
55.5 0 0 0 0 2 2 0
55.0 0 0 0 0 0 3 0
54.5 0 0 0 0 0 1 0
54.0 0 0 0 2 0 0 0
53.5 0 0 0 0 0 1 0
53.0 0 0 0 0 1 1 0
52.5 0 0 0 1 3 0 0
52.0 0 0 0 0 0 0 0
51.5 0 0 0 0 1 0 0
51.0 0 0 0 0 0 0 0
50.5 0 0 0 0 0 0 0
50.0 0 0 0 0 0 0 0
49.5 0 0 0 0 1 0 0
49.0 0 0 0 0 1 0 0
48.5 0 0 0 0 0 0 0
48.0 0 0 0 2 1 2 0
47.5 0 0 0 0 0 1 0
47.0 0 0 0 0 1 0 0
46.5 0 0 0 0 0 1 0
46.0 0 0 0 0 1 0 0
45.5 0 0 0 0 1 0 0
45.0 0 0 0 0 0 0 0
44.5 0 0 0 0 0 0 0
44.0 0 0 0 0 0 0 0
43.5 0 0 0 0 0 1 0
43.0 0 0 0 0 1 1 0
42.5 0 0 0 0 0 2 0
42.0 0 0 0 1 0 0 0
41.5 0 0 1 0 0 0 0
41.0 0 0 0 0 0 0 0
40.5 0 0 0 0 0 0 0
40.0 0 0 0 0 0 0 1
39.5 0 0 0 0 1 1 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 1 0
36.5 0 0 0 1 0 0 0
36.0 0 0 0 2 0 2 0
35.5 0 0 0 0 0 0 0
35.0 0 0 0 0 1 0 0
34.5 0 0 0 0 0 0 0
34.0 0 0 0 0 0 0 0
33.5 0 0 0 0 0 0 0
33.0 0 0 0 0 0 0 0
32.5 0 0 0 0 0 0 0
32.0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 0 0
31.0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 0 0
30.0 0 0 0 0 0 1 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 1 0 0
27.5 0 0 0 0 0 1 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 1 0 0
24.0 0 0 0 0 1 0 0
23.5 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 0
22.5 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 0
21.5 0 0 0 0 0 0 0
21.0 0 0 0 0 0 0 0
20.5 0 0 0 0 0 0 0
20.0 0 0 0 0 0 0 0
19.5 0 0 0 0 0 0 0
19.0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0
18.0 0 0 0 0 0 0 0
17.5 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0
16.5 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0
15.5 0 0 0 0 0 0 0
15.0 0 0 0 0 0 0 0
14.5 0 0 0 0 0 0 0
14.0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0
12.0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0
6.0 0 0 0 0 0 0 0
5.5 0 0 0 0 0 0 0
5.0 0 0 0 0 0 0 0
4.5 0 0 0 0 0 0 0
4.0 0 0 0 0 0 0 0
3.5 0 0 0 0 0 0 0
3.0 0 0 0 0 0 0 0
2.5 0 0 0 0 0 0 0
2.0 0 0 0 0 0 0 0
1.5 0 0 0 0 0 0 0
1.0 0 0 0 0 0 0 0
0.5 0 0 0 0 0 0 0
0 0 0 0 0 0 0
American Mathematics Competitions
2003 AMC 10 B Results for Iowa
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 0.28 9.31* 0.12 0.16 0.09 0.00
2 0.06 0.12 1.18 7.23* 0.81 0.59 0.00
3 0.56 5.92* 0.50 0.59 0.16 2.27 0.00
4 7.57* 0.56 0.59 0.12 0.22 0.93 0.00
5 0.28 0.69 3.89* 0.69 1.46 2.99 0.00
6 1.12 1.84 0.50 2.12* 0.87 3.55 0.00
7 0.40 3.40* 0.47 1.25 0.28 4.21 0.00
8 0.22 0.78* 0.50 0.90 0.44 7.17 0.00
9 0.31 1.31* 0.40 0.16 0.40 7.41 0.00
10 0.28 0.40 2.74* 1.21 0.59 4.77 0.00
11 4.80* 0.97 0.40 0.16 0.72 2.96 0.00
12 0.69 0.90 5.17* 0.16 0.47 2.62 0.00
13 1.81 0.56 0.25 0.40 0.87* 6.11 0.00
14 0.84 0.56 0.34 2.09* 0.25 5.89 0.03
15 1.21 2.68 0.34 0.81 2.90* 2.06 0.00
16 0.37 0.25 0.44 0.78 4.55* 3.61 0.00
17 0.22 1.21* 0.72 0.37 0.19 7.29 0.00
18 0.53 1.50 0.25 1.12* 1.25 5.36 0.00
19 0.12 0.16 0.56 0.47 0.50* 8.19 0.00
20 0.37 0.25 0.62 1.62* 0.97 6.17 0.00
21 1.74 0.25 0.72* 1.71 0.69 4.89 0.00
22 1.62 2.37* 1.71 0.50 0.72 3.08 0.00
23 0.50 0.53 0.25 1.46* 0.44 6.82 0.00
24 0.16 0.03 1.90 0.28 0.09* 7.54 0.00
25 1.15 2.18* 1.00 0.40 0.50 4.77 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 Iowa
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 0 0
148.5 0 0 123.5 0 0 98.5 3 0
148.0 0 0 123.0 0 0 98.0 0 1
147.5 0 0 122.5 0 0 97.5 0 1
147.0 0 0 122.0 0 0 97.0 0 0
146.5 0 0 121.5 0 0 96.5 0 0
146.0 0 0 121.0 0 0 96.0 3 0
145.5 0 0 120.5 0 0 95.5 0 0
145.0 0 0 120.0 0 0 95.0 2 0
144.5 0 0 119.5 0 0 94.5 3 4
144.0 0 0 119.0 0 0 94.0 0 0
143.5 0 0 118.5 0 0 93.5 3 0
143.0 0 0 118.0 1 0 93.0 0 0
142.5 0 0 117.5 0 0 92.5 4 0
142.0 0 0 117.0 0 0 92.0 0 1
141.5 0 0 116.5 0 0 91.5 2 1
141.0 0 0 116.0 2 0 91.0 5 0
140.5 0 0 115.5 1 0 90.5 1 2
140.0 0 0 115.0 1 0 90.0 5 2
139.5 0 0 114.5 2 0 89.5 1 0
139.0 0 0 114.0 0 0 89.0 4 2
138.5 0 0 113.5 0 0 88.5 2 1
138.0 0 0 113.0 0 0 88.0 2 5
137.5 0 0 112.5 1 0 87.5 0 1
137.0 0 0 112.0 0 0 87.0 3 0
136.5 0 0 111.5 2 1 86.5 3 4
136.0 0 0 111.0 2 0 86.0 1 0
135.5 0 0 110.5 0 0 85.5 4 3
135.0 0 0 110.0 2 0 85.0 2 1
134.5 0 0 109.5 0 0 84.5 5 3
134.0 0 0 109.0 0 0 84.0 2 4
133.5 1 0 108.5 0 0 83.5 2 2
133.0 0 0 108.0 1 1 83.0 7 3
132.5 1 0 107.5 0 0 82.5 1 0
132.0 2 0 107.0 0 0 82.0 4 6
131.5 0 0 106.5 4 0 81.5 5 2
131.0 0 0 106.0 0 0 81.0 4 3
130.5 0 0 105.5 1 0 80.5 4 6
130.0 0 0 105.0 0 1 80.0 4 0
129.5 0 0 104.5 1 0 79.5 2 3
129.0 0 0 104.0 3 0 79.0 4 1
128.5 0 0 103.5 0 0 78.5 5 1
128.0 0 0 103.0 3 2 78.0 7 4
127.5 0 0 102.5 1 0 77.5 5 3
127.0 0 0 102.0 2 1 77.0 13 3
126.5 1 0 101.5 0 0 76.5 3 4
126.0 0 0 101.0 0 1 76.0 7 7
125.5 0 1 100.5 0 1 75.5 3 0
American Mathematics Competitions
2003 AMC 12 B Results for Iowa
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 4 50.0 0 0 25.0 0 0
74.5 7 6 49.5 0 2 24.5 0 0
74.0 3 10 49.0 1 2 24.0 0 0
73.5 5 8 48.5 1 0 23.5 0 0
73.0 2 6 48.0 2 2 23.0 0 0
72.5 9 5 47.5 2 0 22.5 0 0
72.0 5 2 47.0 0 0 22.0 0 0
71.5 1 9 46.5 0 1 21.5 0 0
71.0 5 2 46.0 0 1 21.0 0 0
70.5 8 8 45.5 0 1 20.5 0 0
70.0 7 5 45.0 0 1 20.0 0 0
69.5 4 2 44.5 0 0 19.5 0 0
69.0 8 9 44.0 0 0 19.0 0 0
68.5 3 2 43.5 0 0 18.5 0 0
68.0 6 8 43.0 0 1 18.0 0 0
67.5 3 12 42.5 1 0 17.5 0 0
67.0 6 5 42.0 3 0 17.0 0 0
66.5 6 12 41.5 0 2 16.5 0 0
66.0 3 3 41.0 1 0 16.0 0 0
65.5 6 8 40.5 0 1 15.5 0 0
65.0 5 9 40.0 0 1 15.0 0 0
64.5 1 7 39.5 0 0 14.5 0 0
64.0 2 7 39.0 0 1 14.0 0 0
63.5 0 4 38.5 0 0 13.5 0 0
63.0 3 8 38.0 0 0 13.0 0 0
62.5 8 4 37.5 1 0 12.5 0 0
62.0 3 1 37.0 0 0 12.0 0 0
61.5 1 1 36.5 0 0 11.5 0 0
61.0 4 1 36.0 1 2 11.0 0 0
60.5 4 5 35.5 0 0 10.5 0 0
60.0 4 1 35.0 0 0 10.0 0 0
59.5 4 2 34.5 1 0 9.5 0 0
59.0 3 3 34.0 0 1 9.0 0 0
58.5 1 2 33.5 0 0 8.5 0 0
58.0 2 5 33.0 0 0 8.0 0 0
57.5 5 1 32.5 0 1 7.5 0 0
57.0 2 4 32.0 0 0 7.0 0 0
56.5 2 4 31.5 0 0 6.5 0 0
56.0 2 0 31.0 0 0 6.0 0 0
55.5 3 2 30.5 0 0 5.5 0 0
55.0 1 0 30.0 0 0 5.0 0 0
54.5 0 1 29.5 0 0 4.5 0 0
54.0 2 3 29.0 0 0 4.0 0 0
53.5 0 0 28.5 0 0 3.5 0 0
53.0 2 2 28.0 0 0 3.0 0 0
52.5 0 0 27.5 0 0 2.5 0 0
52.0 1 1 27.0 0 0 2.0 0 0
51.5 0 0 26.5 0 0 1.5 0 0
51.0 0 1 26.0 0 0 1.0 0 0
50.5 1 0 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 B Results for Iowa
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 1 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 2 0 0
131.5 0 0 0 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 0 0 0 0
130.5 0 0 0 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0 0 0 0
129.5 0 0 0 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 0 0 0 0 0
128.0 0 0 0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 0 0 0 0
127.0 0 0 0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 1 0 0 0 0
126.0 0 0 0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 0 1 0 0 0
125.0 0 0 0 0 0 0 0 0 0 0
124.5 0 0 0 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 0 0 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0 0 0 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0 0 0 0
121.5 0 0 0 0 0 0 0 0 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 0 0 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 0 0 0 0 0
119.0 0 0 0 0 0 0 0 0 0 0
118.5 0 0 0 0 0 0 0 0 0 0
118.0 0 0 0 0 0 0 0 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 1 1 0 0
115.5 0 0 0 0 0 0 1 0 0 0
115.0 0 0 0 0 0 0 1 0 0 0
114.5 0 0 0 0 0 0 2 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 0 1 0 0
112.0 0 0 0 0 0 0 0 0 0 0
111.5 0 0 0 0 0 0 1 2 0 0
111.0 0 0 0 0 0 0 1 1 0 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 1 1 0 0
109.5 0 0 0 0 0 0 0 0 0 0
109.0 0 0 0 0 0 0 0 0 0 0
108.5 0 0 0 0 0 0 0 0 0 0
108.0 0 0 0 0 0 2 0 0 0 0
107.5 0 0 0 0 0 0 0 0 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 1 2 1 0 0
106.0 0 0 0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 0 1 0 0 0
105.0 0 0 0 0 0 0 1 0 0 0
104.5 0 0 0 0 0 0 0 1 0 0
104.0 0 0 0 0 0 0 1 2 0 0
103.5 0 0 0 0 0 0 0 0 0 0
103.0 0 0 0 0 0 1 2 2 0 0
102.5 0 0 0 0 0 0 1 0 0 0
102.0 0 0 0 0 0 1 1 1 0 0
101.5 0 0 0 0 0 0 0 0 0 0
101.0 0 0 0 0 0 0 1 0 0 0
100.5 0 0 0 0 0 0 0 1 0 0
100.0 0 0 0 0 0 0 0 0 0 0
99.5 0 0 0 0 0 1 4 1 0 0
99.0 0 0 0 0 0 0 0 0 0 0
98.5 0 0 0 0 0 1 1 1 0 0
98.0 0 0 0 0 0 0 0 1 0 0
97.5 0 0 0 0 0 1 0 0 0 0
97.0 0 0 0 0 0 0 0 0 0 0
96.5 0 0 0 0 0 0 0 0 0 0
96.0 0 0 0 0 1 0 1 1 0 0
95.5 0 0 0 0 0 0 0 0 0 0
95.0 0 0 0 0 0 0 0 3 0 0
94.5 0 0 0 0 0 4 1 2 0 0
94.0 0 0 0 0 0 0 0 0 0 0
93.5 0 0 0 0 0 2 0 2 0 0
93.0 0 0 0 0 0 0 0 0 0 0
92.5 0 0 0 0 0 1 1 2 0 0
92.0 0 0 0 0 0 0 1 0 0 0
91.5 0 0 0 0 0 2 0 1 0 0
91.0 0 0 0 0 0 2 2 1 0 0
90.5 0 0 0 0 0 0 0 3 0 0
90.0 0 0 0 0 0 1 3 3 0 0
89.5 0 0 0 0 0 0 0 1 0 0
89.0 0 0 0 0 0 0 5 3 0 0
88.5 0 0 0 0 0 0 1 2 0 0
88.0 0 0 0 0 0 2 4 1 0 0
87.5 0 0 0 0 0 0 0 1 0 0
87.0 0 0 0 0 1 0 1 1 0 0
86.5 0 0 0 0 1 2 2 2 0 0
86.0 0 0 0 0 0 0 1 0 0 0
85.5 0 0 0 0 0 2 2 4 0 1
85.0 0 0 0 0 0 0 2 1 0 0
84.5 0 0 0 0 1 0 5 2 0 0
84.0 0 0 0 0 0 0 1 6 0 1
83.5 0 0 0 0 0 1 2 0 0 1
83.0 0 0 0 0 0 1 2 8 0 0
82.5 0 0 0 0 0 0 1 0 0 0
82.0 0 0 0 0 0 1 6 2 0 1
81.5 0 0 0 0 1 2 2 2 0 1
81.0 0 0 0 0 0 2 2 3 0 0
80.5 0 0 0 0 1 3 4 1 1 0
80.0 0 0 0 0 0 1 2 1 0 0
79.5 0 0 0 0 0 0 1 5 0 0
79.0 0 0 0 0 0 1 4 0 0 0
78.5 0 0 0 0 0 1 2 3 0 0
78.0 0 0 0 0 0 2 6 3 0 0
77.5 0 0 0 0 0 3 2 3 0 0
77.0 0 0 0 0 1 4 7 5 0 0
76.5 0 0 0 0 0 2 3 2 0 0
76.0 0 0 0 0 0 4 7 3 0 0
75.5 0 0 0 0 0 1 1 1 0 0
75.0 0 0 0 0 1 2 6 3 0 0
74.5 0 0 0 0 0 1 8 5 0 0
74.0 0 0 0 0 1 5 4 3 0 0
73.5 0 0 0 0 1 3 5 4 0 0
73.0 0 0 0 0 0 1 3 4 0 0
72.5 0 0 0 0 1 3 7 4 0 0
72.0 0 0 0 0 1 2 2 2 0 0
71.5 0 0 0 0 0 3 6 1 0 0
71.0 0 0 0 0 1 0 3 3 0 0
70.5 0 0 0 0 0 6 3 7 0 0
70.0 0 0 0 0 2 0 5 5 0 0
69.5 0 0 0 0 0 3 1 1 0 1
69.0 0 0 0 0 2 3 7 5 0 0
68.5 0 0 0 0 0 0 3 2 0 0
68.0 0 0 0 0 1 4 8 1 0 0
67.5 0 0 0 0 1 2 7 5 0 0
67.0 0 0 0 0 2 4 2 3 0 0
66.5 0 0 0 0 0 3 11 4 0 0
66.0 0 0 0 0 0 1 4 1 0 0
65.5 0 0 0 0 1 4 4 6 0 0
65.0 0 0 0 0 5 2 4 3 0 1
64.5 0 0 0 0 0 2 4 3 0 0
64.0 0 0 0 0 0 0 5 4 0 1
63.5 0 0 0 0 0 3 1 1 0 0
63.0 0 0 0 0 1 1 4 5 0 0
62.5 0 0 0 0 2 0 4 6 0 0
62.0 0 0 0 0 0 1 2 1 0 0
61.5 0 0 0 0 0 0 1 2 0 0
61.0 0 0 0 0 0 0 3 2 0 0
60.5 0 0 0 0 1 2 2 4 0 1
60.0 0 0 0 0 0 1 4 0 0 0
59.5 0 0 0 0 0 1 5 1 0 0
59.0 0 0 0 0 0 1 2 3 0 0
58.5 0 0 0 0 1 0 1 1 0 0
58.0 0 0 0 0 0 1 5 1 0 0
57.5 0 0 0 0 0 1 4 1 0 0
57.0 0 0 0 0 0 1 2 2 0 1
56.5 0 0 0 0 2 1 3 0 0 0
56.0 0 0 0 0 1 1 0 0 0 0
55.5 0 0 0 0 0 0 4 2 0 0
55.0 0 0 0 0 0 0 1 0 0 0
54.5 0 0 0 0 0 0 0 1 0 0
54.0 0 0 0 0 1 0 3 1 0 0
53.5 0 0 0 0 0 0 0 0 0 0
53.0 0 0 0 0 1 0 2 1 0 0
52.5 0 0 0 0 0 0 0 0 0 1
52.0 0 0 0 0 1 0 1 0 0 0
51.5 0 0 0 0 0 0 0 0 0 1
51.0 0 0 0 0 0 0 0 1 0 0
50.5 0 0 0 0 0 0 0 1 0 1
50.0 0 0 0 0 0 0 0 0 0 0
49.5 0 0 0 0 0 0 1 1 0 0
49.0 0 0 0 0 1 1 1 0 0 0
48.5 0 0 0 0 0 0 1 0 0 0
48.0 0 0 0 0 1 0 3 0 0 0
47.5 0 0 0 0 0 0 1 1 0 0
47.0 0 0 0 0 0 0 0 0 0 0
46.5 0 0 0 0 0 0 1 0 0 0
46.0 0 0 0 0 0 0 1 0 0 0
45.5 0 0 0 0 0 0 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 0 0 0
44.0 0 0 0 0 0 0 0 0 0 1
43.5 0 0 0 0 0 0 0 0 0 0
43.0 0 0 0 0 0 0 1 0 0 0
42.5 0 0 0 0 0 0 1 0 0 0
42.0 0 0 0 0 1 1 1 0 0 0
41.5 0 0 0 0 0 0 1 1 0 0
41.0 0 0 0 0 0 1 0 0 0 0
40.5 0 0 0 0 0 0 1 0 0 0
40.0 0 0 0 0 0 0 1 0 0 0
39.5 0 0 0 0 0 0 0 0 0 0
39.0 0 0 0 0 0 0 1 0 0 0
38.5 0 0 0 0 0 0 0 0 0 0
38.0 0 0 0 0 0 0 0 0 0 0
37.5 0 0 0 0 0 0 1 0 0 0
37.0 0 0 0 0 0 0 0 0 0 0
36.5 0 0 0 0 0 0 0 0 0 0
36.0 0 0 0 0 1 1 0 1 0 0
35.5 0 0 0 0 0 0 0 0 0 0
35.0 0 0 0 0 0 0 0 0 0 0
34.5 0 0 0 0 1 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 0 1 0 0
32.0 0 0 0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 0 0 0 0 0
31.0 0 0 0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 0 0 0 0 0
30.0 0 0 0 0 0 0 0 0 0 1
29.5 0 0 0 0 0 0 0 0 0 0
29.0 0 0 0 0 0 0 0 0 0 0
28.5 0 0 0 0 0 0 0 0 0 0
28.0 0 0 0 0 0 0 0 0 0 0
27.5 0 0 0 0 0 0 0 0 0 0
27.0 0 0 0 0 0 0 0 0 0 0
26.5 0 0 0 0 0 0 0 0 0 0
26.0 0 0 0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 0 0 0 0
25.0 0 0 0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0 0 0 0
24.0 0 0 0 0 0 0 0 0 0 0
23.5 0 0 0 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 0 0 0 0
22.5 0 0 0 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 0 0 0 0
21.5 0 0 0 0 0 0 0 0 0 0
21.0 0 0 0 0 0 0 0 0 0 0
20.5 0 0 0 0 0 0 0 0 0 0
20.0 0 0 0 0 0 0 0 0 0 0
19.5 0 0 0 0 0 0 0 0 0 0
19.0 0 0 0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0 0 0 0
18.0 0 0 0 0 0 0 0 0 0 0
17.5 0 0 0 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0 0 0 0
16.5 0 0 0 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0 0 0 0
15.5 0 0 0 0 0 0 0 0 0 0
15.0 0 0 0 0 0 0 0 0 0 0
14.5 0 0 0 0 0 0 0 0 0 0
14.0 0 0 0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0
12.0 0 0 0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0 0 0 0
6.0 0 0 0 0 0 0 0 0 0 0
5.5 0 0 0 0 0 0 0 0 0 0
5.0 0 0 0 0 0 0 0 0 0 0
4.5 0 0 0 0 0 0 0 0 0 0
4.0 0 0 0 0 0 0 0 0 0 0
3.5 0 0 0 0 0 0 0 0 0 0
3.0 0 0 0 0 0 0 0 0 0 0
2.5 0 0 0 0 0 0 0 0 0 0
2.0 0 0 0 0 0 0 0 0 0 0
1.5 0 0 0 0 0 0 0 0 0 0
1.0 0 0 0 0 0 0 0 0 0 0
0.5 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
American Mathematics Competitions
2003 AMC 12 B Results for Iowa
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 0.00 0.07 9.80* 0.04 0.00 0.08 0.00
2 0.03 0.06 1.01 8.43* 0.21 0.27 0.00
3 8.67* 0.17 0.14 0.03 0.11 0.87 0.01
4 0.29 0.38 5.14* 0.72 0.96 2.51 0.00
5 0.83 1.31 0.24 5.04* 0.21 2.37 0.00
6 0.10 2.12* 0.15 0.51 0.28 6.84 0.00
7 0.31 0.14 0.34 1.69* 4.48 3.05 0.00
8 2.37 0.48 0.22 0.70 1.99* 4.23 0.00
9 0.04 0.20 1.99 4.68* 0.11 2.98 0.00
10 0.49 2.71* 0.62 0.49 1.10 4.59 0.00
11 1.35 3.05 2.19* 0.39 0.38 2.64 0.00
12 0.17 0.94 0.25 1.83* 1.28 5.53 0.00
13 0.24 1.74* 0.62 0.20 0.13 7.08 0.00
14 0.15 0.32 0.38 2.08* 0.86 6.21 0.00
15 0.18 0.27 0.55 1.11* 0.59 7.30 0.00
16 0.13 0.34 0.25 0.42 0.70* 8.16 0.00
17 0.03 0.22 0.28 1.24* 1.60 6.63 0.00
18 0.07 0.18* 0.07 0.13 0.07 9.48 0.00
19 0.55 1.18 0.18 0.06 0.51* 7.53 0.00
20 0.20 0.97* 0.34 0.45 0.11 7.94 0.00
21 0.25 0.15 0.37 1.07* 0.25 7.91 0.00
22 0.18 0.27 0.27* 0.10 0.62 8.57 0.00
23 0.32* 0.13 0.10 0.13 0.10 9.23 0.00
24 0.24 0.37 0.20* 0.10 0.04 9.06 0.00
25 0.46 0.20 0.22 0.22* 0.46 8.43 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column