American Mathematics Competitions
2003 AMC 10 A Results for Utah
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 402
Number of unofficial participants: 0
Average score of participants: 73.3
Average score for female students is: 69.5 ( 163 Students)
Average score for male students is: 77.0 ( 179 Students)
Average score for unspecified gender is 72.6 ( 60 Students)
Average score for grade 10 is: 72.4 ( 275 Students)
Average score for grade 9 is: 76.7 ( 82 Students)
Average score for grade 8 and below is: 87.1 ( 9 Students)
Average score with unknown grade: 69.3 ( 36 Students)
AIME qualifying score = 119.0 or better
Number of AIME qualifers 4
Number of schools returning results 19
Average school winning score 105.03
American Mathematics Competitions
2003 AMC 12 A Results for Utah
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1077
Number of unofficial participants: 0
Average score of participants: 70.8
Average score for female students is: 66.1 ( 442 Students)
Average score for male students is: 74.7 ( 574 Students)
Average score for unspecified gender is 67.8 ( 61 Students)
Average score for grade 13 is: 60.5 ( 2 Students)
Average score for grade 12 is: 73.2 ( 395 Students)
Average score for grade 11 is: 69.1 ( 558 Students)
Average score for grade 10 is: 71.0 ( 109 Students)
Average score for grade 9 is: 57.8 ( 2 Students)
Average score with unknown grade: 71.5 ( 11 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 69
Number of schools returning results 23
Average school winning score 108.52
Average school team score 312.52
American Mathematics Competitions
2003 AMC 10 B Results for Utah
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 83
Number of unofficial participants: 0
Average score of participants: 85.8
Average score for female students is: 82.3 ( 28 Students)
Average score for male students is: 88.8 ( 51 Students)
Average score for unspecified gender is 71.3 ( 4 Students)
Average score for grade 10 is: 83.6 ( 50 Students)
Average score for grade 9 is: 91.3 ( 14 Students)
Average score for grade 8 and below is: 90.6 ( 16 Students)
Average score with unknown grade: 70.5 ( 3 Students)
AIME qualifying score = 121.0 or better
Number of AIME qualifers 2
Number of schools returning results 5
Average school winning score 105.40
American Mathematics Competitions
2003 AMC 12 B Results for Utah
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 111
Number of unofficial participants: 0
Average score of participants: 75.3
Average score for female students is: 70.3 ( 46 Students)
Average score for male students is: 79.5 ( 62 Students)
Average score for unspecified gender is 67.8 ( 3 Students)
Average score for grade 12 is: 74.9 ( 48 Students)
Average score for grade 11 is: 75.0 ( 61 Students)
Average score for grade 8 and below is: 125.5 ( 1 Student)
Average score with unknown grade: 67.0 ( 1 Student)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 7
Number of schools returning results 6
Average school winning score 103.75
Average school team score 287.67
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 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 0 1 0
132.0 0 0 0 0
131.5 0 0 0 0
131.0 0 0 1 0
130.5 0 0 0 0
130.0 0 0 0 0
129.5 0 0 0 0
129.0 0 0 0 0
128.5 0 0 0 0
128.0 0 0 0 0
127.5 0 0 0 0
127.0 0 0 0 0
126.5 0 0 0 0
126.0 1 0 0 0
125.5 0 1 0 1
125.0 0 0 0 1
124.5 0 0 0 0
124.0 0 0 0 0
123.5 0 0 0 0
123.0 0 0 0 0
122.5 0 0 0 0
122.0 0 0 0 0
121.5 0 0 1 0
121.0 0 0 0 0
120.5 0 0 0 1
120.0 0 0 0 0
119.5 0 0 1 0
119.0 0 0 0 0
118.5 0 0 0 0
118.0 0 0 1 0
117.5 0 0 0 0
117.0 0 0 1 0
116.5 0 0 0 0
116.0 2 0 2 0
115.5 0 0 0 0
115.0 2 0 0 0
114.5 1 0 0 0
114.0 0 0 0 0
113.5 2 0 1 1
113.0 1 0 0 0
112.5 2 0 0 0
112.0 0 0 1 0
111.5 3 0 0 0
111.0 3 0 0 0
110.5 0 0 0 0
110.0 2 0 2 0
109.5 0 0 0 0
109.0 4 3 2 0
108.5 1 0 0 0
108.0 3 0 0 1
107.5 4 0 1 0
107.0 0 0 0 0
106.5 0 0 1 0
106.0 1 0 0 0
105.5 4 1 1 0
105.0 0 0 1 1
104.5 0 1 0 0
104.0 7 0 4 0
103.5 0 0 0 0
103.0 4 0 0 2
102.5 2 0 0 0
102.0 5 1 1 2
101.5 4 0 3 0
101.0 3 0 0 1
100.5 6 0 2 2
100.0 1 0 0 1
99.5 10 0 1 1
99.0 0 0 2 1
98.5 3 0 0 2
98.0 4 0 3 2
97.5 2 0 0 0
97.0 4 2 7 0
96.5 2 0 1 3
96.0 7 1 2 1
95.5 4 0 5 1
95.0 5 1 0 1
94.5 3 1 4 0
94.0 1 0 0 0
93.5 5 1 0 4
93.0 1 0 2 0
92.5 11 1 3 2
92.0 3 1 2 1
91.5 2 1 2 0
91.0 10 0 3 1
90.5 5 0 1 1
90.0 12 1 2 1
89.5 3 0 1 0
89.0 5 2 0 0
88.5 4 0 6 3
88.0 6 1 1 0
87.5 12 0 7 1
87.0 3 0 1 1
86.5 13 2 4 0
86.0 3 1 3 1
85.5 5 1 1 0
85.0 14 1 6 1
84.5 3 1 4 0
84.0 14 4 5 2
83.5 1 0 3 2
83.0 11 4 6 0
82.5 8 0 5 1
82.0 6 1 5 0
81.5 10 0 4 2
81.0 9 0 3 1
80.5 17 1 5 1
80.0 3 0 2 1
79.5 21 1 3 1
79.0 6 0 2 0
78.5 10 2 3 0
78.0 10 2 8 2
77.5 12 0 3 0
77.0 13 4 7 3
76.5 9 1 5 0
76.0 11 3 4 2
75.5 10 5 5 1
75.0 13 0 3 1
74.5 14 3 7 0
74.0 7 0 4 0
73.5 21 2 7 1
73.0 9 1 6 1
72.5 9 2 2 2
72.0 5 3 6 1
71.5 16 1 1 0
71.0 27 3 2 1
70.5 10 1 3 1
70.0 17 0 5 2
69.5 13 1 7 2
69.0 11 1 1 0
68.5 11 2 7 0
68.0 13 0 5 0
67.5 9 3 3 0
67.0 8 2 8 0
66.5 14 2 2 1
66.0 14 3 14 1
65.5 17 0 1 0
65.0 10 3 3 0
64.5 13 3 5 0
64.0 10 3 5 0
63.5 8 0 3 0
63.0 12 0 3 1
62.5 16 2 6 0
62.0 6 1 2 1
61.5 14 0 5 0
61.0 15 0 2 0
60.5 7 0 4 0
60.0 19 2 6 0
59.5 7 0 3 0
59.0 12 0 2 1
58.5 4 0 4 0
58.0 5 0 3 0
57.5 9 0 3 0
57.0 8 2 0 1
56.5 8 2 3 0
56.0 4 0 2 0
55.5 11 0 3 0
55.0 9 0 2 1
54.5 11 1 2 0
54.0 16 1 6 0
53.5 4 0 1 0
53.0 10 0 2 1
52.5 3 1 4 0
52.0 5 0 2 0
51.5 7 1 3 0
51.0 2 0 2 0
50.5 12 1 2 1
50.0 9 0 1 0
49.5 5 0 2 0
49.0 9 1 1 0
48.5 3 0 1 0
48.0 9 1 6 0
47.5 2 0 0 0
47.0 3 0 1 0
46.5 3 1 1 0
46.0 5 0 1 0
45.5 4 0 0 0
45.0 1 0 1 0
44.5 1 0 1 0
44.0 2 0 0 0
43.5 1 0 0 0
43.0 1 0 3 0
42.5 3 0 1 0
42.0 13 1 2 0
41.5 1 0 0 0
41.0 1 0 1 0
40.5 3 0 1 0
40.0 2 0 0 0
39.5 3 0 0 0
39.0 0 0 1 0
38.5 3 0 0 0
38.0 3 0 0 0
37.5 5 0 1 0
37.0 0 0 0 0
36.5 1 0 0 0
36.0 7 0 2 0
35.5 0 0 1 0
35.0 2 0 0 0
34.5 0 0 0 0
34.0 3 0 0 0
33.5 0 0 0 0
33.0 1 0 0 0
32.5 0 0 1 0
32.0 0 0 0 0
31.5 0 0 0 0
31.0 0 0 0 0
30.5 1 0 0 0
30.0 7 0 1 0
29.5 0 0 0 0
29.0 0 0 0 0
28.5 0 0 0 0
28.0 1 0 0 0
27.5 0 0 0 0
27.0 0 0 0 0
26.5 2 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 0
24.0 3 0 1 0
23.5 0 0 0 0
23.0 1 0 0 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 1 0 0 0
20.0 0 0 0 0
19.5 1 0 0 0
19.0 0 0 0 0
18.5 0 0 0 0
18.0 0 0 0 0
17.5 0 0 0 0
17.0 0 0 0 0
16.5 0 0 0 0
16.0 0 0 0 0
15.5 0 0 0 0
15.0 0 0 0 0
14.5 0 0 1 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 2 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 Utah
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 2 0
148.5 0 0 123.5 0 0 98.5 0 0
148.0 0 0 123.0 0 0 98.0 3 0
147.5 0 0 122.5 0 0 97.5 0 0
147.0 0 0 122.0 0 0 97.0 6 0
146.5 0 0 121.5 0 1 96.5 1 0
146.0 0 0 121.0 0 0 96.0 2 0
145.5 0 0 120.5 0 0 95.5 4 1
145.0 0 0 120.0 0 0 95.0 0 0
144.5 0 0 119.5 1 0 94.5 2 1
144.0 0 0 119.0 0 0 94.0 0 0
143.5 0 0 118.5 0 0 93.5 0 0
143.0 0 0 118.0 0 1 93.0 0 2
142.5 0 0 117.5 0 0 92.5 0 1
142.0 0 0 117.0 0 0 92.0 2 0
141.5 0 0 116.5 0 0 91.5 1 1
141.0 0 0 116.0 2 0 91.0 2 1
140.5 0 0 115.5 0 0 90.5 0 1
140.0 0 0 115.0 0 0 90.0 2 0
139.5 0 0 114.5 0 0 89.5 1 0
139.0 0 0 114.0 0 0 89.0 0 0
138.5 0 0 113.5 1 0 88.5 2 4
138.0 0 0 113.0 0 0 88.0 0 0
137.5 0 0 112.5 0 0 87.5 4 3
137.0 0 0 112.0 0 1 87.0 1 0
136.5 0 0 111.5 0 0 86.5 3 1
136.0 0 0 111.0 0 0 86.0 1 1
135.5 0 0 110.5 0 0 85.5 1 0
135.0 0 0 110.0 2 0 85.0 3 2
134.5 0 0 109.5 0 0 84.5 2 0
134.0 0 0 109.0 1 0 84.0 2 3
133.5 0 0 108.5 0 0 83.5 0 1
133.0 0 0 108.0 0 0 83.0 2 3
132.5 1 0 107.5 1 0 82.5 3 1
132.0 0 0 107.0 0 0 82.0 3 2
131.5 0 0 106.5 1 0 81.5 2 2
131.0 1 0 106.0 0 0 81.0 1 2
130.5 0 0 105.5 0 1 80.5 4 0
130.0 0 0 105.0 1 0 80.0 0 1
129.5 0 0 104.5 0 0 79.5 1 2
129.0 0 0 104.0 3 1 79.0 0 2
128.5 0 0 103.5 0 0 78.5 0 2
128.0 0 0 103.0 0 0 78.0 4 2
127.5 0 0 102.5 0 0 77.5 1 1
127.0 0 0 102.0 0 1 77.0 4 2
126.5 0 0 101.5 1 0 76.5 3 1
126.0 0 0 101.0 0 0 76.0 1 1
125.5 0 0 100.5 1 1 75.5 2 3
American Mathematics Competitions
2003 AMC 10 A Results for Utah
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 1 50.0 0 1 25.0 0 0
74.5 2 5 49.5 1 1 24.5 0 0
74.0 2 1 49.0 1 0 24.0 0 1
73.5 3 4 48.5 1 0 23.5 0 0
73.0 3 3 48.0 2 3 23.0 0 0
72.5 1 0 47.5 0 0 22.5 0 0
72.0 3 2 47.0 0 1 22.0 0 0
71.5 1 0 46.5 1 0 21.5 0 0
71.0 0 2 46.0 0 1 21.0 0 0
70.5 2 1 45.5 0 0 20.5 0 0
70.0 1 2 45.0 0 1 20.0 0 0
69.5 4 3 44.5 0 1 19.5 0 0
69.0 0 0 44.0 0 0 19.0 0 0
68.5 3 3 43.5 0 0 18.5 0 0
68.0 2 2 43.0 2 1 18.0 0 0
67.5 2 1 42.5 0 0 17.5 0 0
67.0 3 5 42.0 2 0 17.0 0 0
66.5 1 1 41.5 0 0 16.5 0 0
66.0 5 8 41.0 0 1 16.0 0 0
65.5 1 0 40.5 0 0 15.5 0 0
65.0 2 0 40.0 0 0 15.0 0 0
64.5 1 3 39.5 0 0 14.5 1 0
64.0 1 1 39.0 0 1 14.0 0 0
63.5 1 1 38.5 0 0 13.5 0 0
63.0 0 1 38.0 0 0 13.0 0 0
62.5 2 3 37.5 1 0 12.5 0 0
62.0 0 2 37.0 0 0 12.0 0 2
61.5 1 3 36.5 0 0 11.5 0 0
61.0 1 1 36.0 1 1 11.0 0 0
60.5 1 3 35.5 0 0 10.5 0 0
60.0 3 3 35.0 0 0 10.0 0 0
59.5 0 1 34.5 0 0 9.5 0 0
59.0 0 2 34.0 0 0 9.0 0 0
58.5 1 2 33.5 0 0 8.5 0 0
58.0 0 2 33.0 0 0 8.0 0 0
57.5 0 2 32.5 0 1 7.5 0 0
57.0 0 0 32.0 0 0 7.0 0 0
56.5 1 2 31.5 0 0 6.5 0 0
56.0 0 2 31.0 0 0 6.0 0 0
55.5 0 2 30.5 0 0 5.5 0 0
55.0 2 0 30.0 1 0 5.0 0 0
54.5 1 1 29.5 0 0 4.5 0 0
54.0 2 4 29.0 0 0 4.0 0 0
53.5 0 1 28.5 0 0 3.5 0 0
53.0 0 1 28.0 0 0 3.0 0 0
52.5 3 1 27.5 0 0 2.5 0 0
52.0 1 0 27.0 0 0 2.0 0 0
51.5 1 1 26.5 0 0 1.5 0 0
51.0 2 0 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 A Results for Utah
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 1 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 1 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 1 0
119.0 0 0 0 0 0 0 0
118.5 0 0 0 0 0 0 0
118.0 0 0 0 0 1 0 0
117.5 0 0 0 0 0 0 0
117.0 0 0 0 0 1 0 0
116.5 0 0 0 0 0 0 0
116.0 0 0 1 0 0 1 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 1 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 0 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 0 0 2 0
109.5 0 0 0 0 0 0 0
109.0 0 0 0 0 2 0 0
108.5 0 0 0 0 0 0 0
108.0 0 0 0 0 0 0 0
107.5 0 0 0 0 0 1 0
107.0 0 0 0 0 0 0 0
106.5 0 0 0 0 1 0 0
106.0 0 0 0 0 0 0 0
105.5 0 0 0 1 0 0 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 1 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 0 0 0
102.0 0 0 0 1 0 0 0
101.5 0 0 0 0 2 1 0
101.0 0 0 0 0 0 0 0
100.5 0 0 0 0 0 2 0
100.0 0 0 0 0 0 0 0
99.5 0 0 0 0 0 1 0
99.0 0 0 0 0 1 1 0
98.5 0 0 0 0 0 0 0
98.0 0 0 0 0 0 3 0
97.5 0 0 0 0 0 0 0
97.0 0 0 0 0 1 5 1
96.5 0 0 0 0 0 1 0
96.0 0 0 0 0 0 2 0
95.5 0 0 0 1 0 4 0
95.0 0 0 0 0 0 0 0
94.5 0 0 0 0 2 2 0
94.0 0 0 0 0 0 0 0
93.5 0 0 0 0 0 0 0
93.0 0 0 0 0 1 1 0
92.5 0 0 0 0 0 2 1
92.0 0 0 0 0 2 0 0
91.5 0 0 0 0 1 1 0
91.0 0 0 0 1 0 2 0
90.5 0 0 0 0 0 1 0
90.0 0 0 0 0 1 1 0
89.5 0 0 0 0 1 0 0
89.0 0 0 0 0 0 0 0
88.5 0 0 0 0 1 4 1
88.0 0 0 0 0 1 0 0
87.5 0 0 0 0 0 6 1
87.0 0 0 0 0 0 1 0
86.5 0 0 0 0 1 3 0
86.0 0 0 0 0 0 3 0
85.5 0 0 0 0 1 0 0
85.0 0 0 0 0 5 1 0
84.5 0 0 0 0 2 2 0
84.0 0 0 0 0 1 4 0
83.5 0 0 0 0 1 0 2
83.0 0 0 0 0 3 3 0
82.5 0 0 0 0 1 4 0
82.0 0 0 0 0 1 4 0
81.5 0 0 0 0 0 4 0
81.0 0 0 0 0 1 2 0
80.5 0 0 0 0 0 4 1
80.0 0 0 0 0 0 1 1
79.5 0 0 0 0 1 2 0
79.0 0 0 0 1 0 1 0
78.5 0 0 0 0 1 1 1
78.0 0 0 0 0 2 4 2
77.5 0 0 0 0 0 2 1
77.0 0 0 0 0 1 5 1
76.5 0 0 0 0 0 4 1
76.0 0 0 0 0 0 3 1
75.5 0 0 0 0 2 3 0
75.0 0 0 0 0 0 2 1
74.5 0 0 0 0 3 4 0
74.0 0 0 0 0 1 2 1
73.5 0 0 0 0 1 6 0
73.0 0 0 0 0 1 5 0
72.5 0 0 0 0 0 2 0
72.0 0 0 0 0 1 4 1
71.5 0 0 0 0 0 1 0
71.0 0 0 0 0 0 2 0
70.5 0 0 0 0 0 3 0
70.0 0 0 0 0 2 2 1
69.5 0 0 0 0 2 5 0
69.0 0 0 0 0 0 1 0
68.5 0 0 0 1 0 5 1
68.0 0 0 0 0 0 4 1
67.5 0 0 0 0 0 3 0
67.0 0 0 0 0 1 7 0
66.5 0 0 0 0 0 2 0
66.0 0 0 0 1 1 11 1
65.5 0 0 0 0 0 1 0
65.0 0 0 0 0 0 2 1
64.5 0 0 0 0 1 4 0
64.0 0 0 0 0 1 2 2
63.5 0 0 0 0 0 3 0
63.0 0 0 0 0 0 1 2
62.5 0 0 0 0 1 4 1
62.0 0 0 0 0 0 2 0
61.5 0 0 0 0 2 3 0
61.0 0 0 0 0 1 1 0
60.5 0 0 0 1 0 3 0
60.0 0 0 0 0 1 5 0
59.5 0 0 0 0 1 1 1
59.0 0 0 0 0 1 1 0
58.5 0 0 0 0 2 2 0
58.0 0 0 0 0 0 2 1
57.5 0 0 0 0 1 2 0
57.0 0 0 0 0 0 0 0
56.5 0 0 0 0 1 2 0
56.0 0 0 0 0 0 2 0
55.5 0 0 0 0 1 2 0
55.0 0 0 0 0 0 2 0
54.5 0 0 0 0 0 2 0
54.0 0 0 0 0 0 6 0
53.5 0 0 0 0 0 1 0
53.0 0 0 0 0 0 1 1
52.5 0 0 0 0 0 4 0
52.0 0 0 0 0 2 0 0
51.5 0 0 0 0 0 2 1
51.0 0 0 0 0 1 1 0
50.5 0 0 0 0 0 2 0
50.0 0 0 0 0 0 1 0
49.5 0 0 0 0 1 1 0
49.0 0 0 0 0 1 0 0
48.5 0 0 0 0 0 1 0
48.0 0 0 0 0 1 5 0
47.5 0 0 0 0 0 0 0
47.0 0 0 0 0 0 1 0
46.5 0 0 0 0 1 0 0
46.0 0 0 0 0 0 1 0
45.5 0 0 0 0 0 0 0
45.0 0 0 0 0 1 0 0
44.5 0 0 0 0 0 1 0
44.0 0 0 0 0 0 0 0
43.5 0 0 0 0 0 0 0
43.0 0 0 0 0 1 1 1
42.5 0 0 0 0 0 0 1
42.0 0 0 0 0 0 2 0
41.5 0 0 0 0 0 0 0
41.0 0 0 0 0 0 1 0
40.5 0 0 0 0 0 0 1
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 1 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 1 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 2 0
35.5 0 0 0 0 0 0 1
35.0 0 0 0 0 0 0 0
34.5 0 0 0 0 0 0 0
34.0 0 0 0 0 0 0 0
33.5 0 0 0 0 0 0 0
33.0 0 0 0 0 0 0 0
32.5 0 0 0 0 0 1 0
32.0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 0 0
31.0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 0 0
30.0 0 0 0 0 0 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 0 0 0
27.5 0 0 0 0 0 0 0
27.0 0 0 0 0 0 0 0
26.5 0 0 0 0 0 0 0
26.0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 0
25.0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0
24.0 0 0 0 0 1 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 1 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 2 0
11.5 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0
6.0 0 0 0 0 0 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 Utah
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 2.91 0.67 3.36* 0.42 1.94 0.00
2 0.05 8.66* 0.05 1.00 0.00 0.25 0.00
3 0.37 2.54 0.55 4.28* 0.30 1.97 0.00
4 4.55* 0.17 0.20 3.66 0.05 1.37 0.00
5 0.80 5.35* 0.15 0.05 0.12 3.53 0.00
6 1.62 1.32 2.41* 0.67 0.77 3.21 0.00
7 1.39 1.87* 0.82 1.89 0.50 3.53 0.00
8 1.39 0.65 0.27 0.37 6.12* 1.19 0.00
9 1.99* 0.47 1.02 2.49 0.05 3.98 0.00
10 0.47 0.47 0.77 1.07 4.80* 2.39 0.02
11 0.20 0.12 0.12 0.17 6.77* 2.61 0.00
12 3.03* 3.13 0.17 0.80 0.77 2.09 0.00
13 5.72* 0.17 0.35 0.17 0.07 3.51 0.00
14 1.47* 1.22 0.30 1.02 1.27 4.73 0.00
15 0.90 2.09 3.56* 0.60 0.62 2.24 0.00
16 0.67 0.90 1.79* 0.22 0.35 6.07 0.00
17 0.62 0.50* 0.35 0.20 0.35 7.99 0.00
18 0.45 0.32* 0.25 0.45 0.72 7.81 0.00
19 0.35 0.42 0.30* 0.10 0.15 8.68 0.00
20 0.55 0.20 0.37 0.30 0.50* 8.08 0.00
21 0.65 0.45 0.92 1.99* 2.01 3.98 0.00
22 0.65 2.16* 0.47 0.17 0.12 6.42 0.00
23 0.30 0.20 0.55* 0.50 0.65 7.81 0.00
24 0.15 0.30 0.37 0.55 4.73* 3.91 0.00
25 0.05 0.22* 0.30 0.07 0.17 9.18 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 Utah
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 1 0
149.5 0 0 124.5 0 0 99.5 7 2
149.0 0 0 124.0 0 0 99.0 0 0
148.5 0 0 123.5 0 0 98.5 1 1
148.0 0 0 123.0 0 0 98.0 2 1
147.5 0 0 122.5 0 0 97.5 2 0
147.0 0 0 122.0 0 0 97.0 4 0
146.5 0 0 121.5 0 0 96.5 2 0
146.0 0 0 121.0 0 0 96.0 5 2
145.5 0 0 120.5 0 0 95.5 4 0
145.0 0 0 120.0 0 0 95.0 3 2
144.5 0 0 119.5 0 0 94.5 3 0
144.0 0 0 119.0 0 0 94.0 1 0
143.5 0 0 118.5 0 0 93.5 3 2
143.0 0 0 118.0 0 0 93.0 1 0
142.5 0 0 117.5 0 0 92.5 9 2
142.0 0 0 117.0 0 0 92.0 1 2
141.5 0 0 116.5 0 0 91.5 0 2
141.0 0 0 116.0 2 0 91.0 8 2
140.5 0 0 115.5 0 0 90.5 4 0
140.0 0 0 115.0 2 0 90.0 11 1
139.5 0 0 114.5 1 0 89.5 2 1
139.0 0 0 114.0 0 0 89.0 4 1
138.5 0 0 113.5 2 0 88.5 3 1
138.0 0 0 113.0 1 0 88.0 2 3
137.5 0 0 112.5 2 0 87.5 7 5
137.0 0 0 112.0 0 0 87.0 1 2
136.5 0 0 111.5 3 0 86.5 8 4
136.0 0 0 111.0 2 1 86.0 3 0
135.5 0 0 110.5 0 0 85.5 5 0
135.0 0 0 110.0 2 0 85.0 7 6
134.5 0 0 109.5 0 0 84.5 3 0
134.0 0 0 109.0 2 2 84.0 11 2
133.5 0 0 108.5 0 1 83.5 0 1
133.0 0 0 108.0 2 1 83.0 6 4
132.5 0 0 107.5 2 1 82.5 5 3
132.0 0 0 107.0 0 0 82.0 4 2
131.5 0 0 106.5 0 0 81.5 7 2
131.0 0 0 106.0 1 0 81.0 6 3
130.5 0 0 105.5 4 0 80.5 10 7
130.0 0 0 105.0 0 0 80.0 3 0
129.5 0 0 104.5 0 0 79.5 7 13
129.0 0 0 104.0 5 2 79.0 2 3
128.5 0 0 103.5 0 0 78.5 6 4
128.0 0 0 103.0 4 0 78.0 6 4
127.5 0 0 102.5 1 1 77.5 9 3
127.0 0 0 102.0 4 1 77.0 7 6
126.5 0 0 101.5 3 1 76.5 4 3
126.0 1 0 101.0 2 1 76.0 6 4
125.5 0 0 100.5 6 0 75.5 5 5
American Mathematics Competitions
2003 AMC 12 A Results for Utah
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 7 6 50.0 4 4 25.0 0 0
74.5 9 5 49.5 1 4 24.5 0 0
74.0 2 4 49.0 4 5 24.0 0 3
73.5 12 9 48.5 2 1 23.5 0 0
73.0 4 5 48.0 6 3 23.0 1 0
72.5 5 3 47.5 1 1 22.5 0 0
72.0 2 3 47.0 1 1 22.0 0 1
71.5 9 7 46.5 0 3 21.5 0 0
71.0 18 9 46.0 2 3 21.0 0 0
70.5 1 8 45.5 0 3 20.5 1 0
70.0 9 8 45.0 0 1 20.0 0 0
69.5 7 4 44.5 0 1 19.5 1 0
69.0 5 4 44.0 1 0 19.0 0 0
68.5 3 6 43.5 1 0 18.5 0 0
68.0 6 5 43.0 0 1 18.0 0 0
67.5 2 5 42.5 0 2 17.5 0 0
67.0 6 2 42.0 7 5 17.0 0 0
66.5 8 4 41.5 0 1 16.5 0 0
66.0 7 7 41.0 0 1 16.0 0 0
65.5 7 9 40.5 2 1 15.5 0 0
65.0 4 4 40.0 0 2 15.0 0 0
64.5 4 8 39.5 0 3 14.5 0 0
64.0 4 4 39.0 0 0 14.0 0 0
63.5 3 5 38.5 2 1 13.5 0 0
63.0 4 5 38.0 0 3 13.0 0 0
62.5 8 6 37.5 2 2 12.5 0 0
62.0 3 3 37.0 0 0 12.0 0 0
61.5 7 7 36.5 0 1 11.5 0 0
61.0 6 7 36.0 1 6 11.0 0 0
60.5 5 1 35.5 0 0 10.5 0 0
60.0 12 5 35.0 1 1 10.0 0 0
59.5 2 3 34.5 0 0 9.5 0 0
59.0 8 4 34.0 1 2 9.0 0 0
58.5 0 3 33.5 0 0 8.5 0 0
58.0 1 4 33.0 0 1 8.0 0 0
57.5 2 7 32.5 0 0 7.5 0 0
57.0 4 4 32.0 0 0 7.0 0 0
56.5 4 4 31.5 0 0 6.5 0 0
56.0 3 1 31.0 0 0 6.0 0 0
55.5 4 7 30.5 1 0 5.5 0 0
55.0 1 5 30.0 4 3 5.0 0 0
54.5 5 6 29.5 0 0 4.5 0 0
54.0 6 9 29.0 0 0 4.0 0 0
53.5 2 2 28.5 0 0 3.5 0 0
53.0 7 3 28.0 1 0 3.0 0 0
52.5 0 3 27.5 0 0 2.5 0 0
52.0 3 2 27.0 0 0 2.0 0 0
51.5 3 4 26.5 0 2 1.5 0 0
51.0 0 2 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 Utah
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 0 0 0 0 0 0 0 0 0 0
149.5 0 0 0 0 0 0 0 0 0 0
149.0 0 0 0 0 0 0 0 0 0 0
148.5 0 0 0 0 0 0 0 0 0 0
148.0 0 0 0 0 0 0 0 0 0 0
147.5 0 0 0 0 0 0 0 0 0 0
147.0 0 0 0 0 0 0 0 0 0 0
146.5 0 0 0 0 0 0 0 0 0 0
146.0 0 0 0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0 0 0 0
144.0 0 0 0 0 0 0 0 0 0 0
143.5 0 0 0 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0 0 0 0
140.5 0 0 0 0 0 0 0 0 0 0
140.0 0 0 0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 0 0 0 0 0
139.0 0 0 0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0 0 0 0
138.0 0 0 0 0 0 0 0 0 0 0
137.5 0 0 0 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 0 0 0 0
136.5 0 0 0 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 0 0 0 0
135.5 0 0 0 0 0 0 0 0 0 0
135.0 0 0 0 0 0 0 0 0 0 0
134.5 0 0 0 0 0 0 0 0 0 0
134.0 0 0 0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 0 0 0 0 0
133.0 0 0 0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0 0 0 0
132.0 0 0 0 0 0 0 0 0 0 0
131.5 0 0 0 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 0 0 0 0
130.5 0 0 0 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0 0 0 0
129.5 0 0 0 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 0 0 0 0 0
128.0 0 0 0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 0 0 0 0
127.0 0 0 0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 0 0 0 0
126.0 0 0 0 0 0 0 0 1 0 0
125.5 0 0 0 0 0 0 0 0 0 0
125.0 0 0 0 0 0 0 0 0 0 0
124.5 0 0 0 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 0 0 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0 0 0 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0 0 0 0
121.5 0 0 0 0 0 0 0 0 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 0 0 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 0 0 0 0 0
119.0 0 0 0 0 0 0 0 0 0 0
118.5 0 0 0 0 0 0 0 0 0 0
118.0 0 0 0 0 0 0 0 0 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 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 2 0 0
115.5 0 0 0 0 0 0 0 0 0 0
115.0 0 0 0 0 0 0 1 1 0 0
114.5 0 0 0 0 0 0 0 1 0 0
114.0 0 0 0 0 0 0 0 0 0 0
113.5 0 0 0 0 0 0 0 1 0 1
113.0 0 0 0 0 0 0 1 0 0 0
112.5 0 0 0 0 0 0 0 2 0 0
112.0 0 0 0 0 0 0 0 0 0 0
111.5 0 0 0 0 0 1 1 1 0 0
111.0 0 0 0 0 0 0 2 1 0 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 0 2 0 0
109.5 0 0 0 0 0 0 0 0 0 0
109.0 0 0 0 0 0 2 0 2 0 0
108.5 0 0 0 0 0 0 0 1 0 0
108.0 0 0 0 0 0 0 2 1 0 0
107.5 0 0 0 0 0 1 0 3 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 0 0 0 0 0
106.0 0 0 0 0 0 0 0 1 0 0
105.5 0 0 0 0 0 1 2 1 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 1 3 3 0 0
103.5 0 0 0 0 0 0 0 0 0 0
103.0 0 0 0 0 0 0 1 3 0 0
102.5 0 0 0 0 0 0 1 1 0 0
102.0 0 0 0 0 0 1 1 3 0 0
101.5 0 0 0 0 0 0 4 0 0 0
101.0 0 0 0 0 0 0 1 2 0 0
100.5 0 0 0 0 0 0 4 2 0 0
100.0 0 0 0 0 0 0 0 1 0 0
99.5 0 0 0 0 0 0 5 5 0 0
99.0 0 0 0 0 0 0 0 0 0 0
98.5 0 0 0 0 0 0 1 2 0 0
98.0 0 0 0 0 0 1 2 1 0 0
97.5 0 0 0 0 0 0 1 1 0 0
97.0 0 0 0 0 0 0 2 2 0 0
96.5 0 0 0 0 0 0 1 1 0 0
96.0 0 0 0 0 0 1 4 2 0 0
95.5 0 0 0 0 0 0 2 2 0 0
95.0 0 0 0 0 0 0 2 3 0 0
94.5 0 0 0 0 0 0 3 0 0 0
94.0 0 0 0 0 0 0 0 1 0 0
93.5 0 0 0 0 0 0 1 4 0 0
93.0 0 0 0 0 0 0 1 0 0 0
92.5 0 0 0 0 0 0 7 4 0 0
92.0 0 0 0 0 0 0 1 2 0 0
91.5 0 0 0 0 0 0 1 1 0 0
91.0 0 0 0 0 0 1 5 4 0 0
90.5 0 0 0 0 0 0 2 3 0 0
90.0 0 0 0 0 0 2 6 4 0 0
89.5 0 0 0 0 0 0 1 2 0 0
89.0 0 0 0 0 0 0 3 2 0 0
88.5 0 0 0 0 0 1 1 2 0 0
88.0 0 0 0 0 0 1 2 3 0 0
87.5 0 0 0 0 0 0 6 6 0 0
87.0 0 0 0 0 0 0 3 0 0 0
86.5 0 0 0 0 0 1 6 6 0 0
86.0 0 0 0 0 0 2 0 1 0 0
85.5 0 0 0 0 0 1 2 2 0 0
85.0 0 0 0 0 0 1 6 7 0 0
84.5 0 0 0 0 0 0 2 1 0 0
84.0 0 0 0 0 0 1 6 6 0 1
83.5 0 0 0 0 0 0 1 0 0 0
83.0 0 0 0 0 0 1 7 3 0 0
82.5 0 0 0 0 0 0 5 3 0 0
82.0 0 0 0 0 0 0 2 4 0 0
81.5 0 0 0 0 0 1 9 0 0 0
81.0 0 0 0 0 0 1 3 5 0 0
80.5 0 0 0 0 0 1 7 9 0 0
80.0 0 0 0 0 0 0 2 1 0 0
79.5 0 0 0 0 0 2 13 6 0 0
79.0 0 0 0 0 0 0 2 4 0 0
78.5 0 0 0 0 0 0 5 5 0 0
78.0 0 0 0 0 0 1 5 4 0 0
77.5 0 0 0 0 0 1 5 6 0 0
77.0 0 0 0 0 0 2 5 6 0 0
76.5 0 0 0 0 0 1 6 2 0 0
76.0 0 0 0 0 0 2 7 2 0 0
75.5 0 0 0 0 0 0 4 5 0 1
75.0 0 0 0 0 0 1 8 4 0 0
74.5 0 0 0 0 0 1 8 5 0 0
74.0 0 0 0 0 0 0 5 2 0 0
73.5 0 0 0 0 0 4 13 3 0 1
73.0 0 0 0 0 0 2 5 2 0 0
72.5 0 0 0 0 0 3 5 1 0 0
72.0 0 0 0 0 0 0 3 2 0 0
71.5 0 0 0 0 0 2 6 8 0 0
71.0 0 0 0 0 0 5 14 8 0 0
70.5 0 0 0 0 0 0 5 5 0 0
70.0 0 0 0 0 0 3 9 5 0 0
69.5 0 0 0 0 0 3 6 3 0 1
69.0 0 0 0 0 0 1 7 2 0 1
68.5 0 0 0 0 0 0 8 3 0 0
68.0 0 0 0 0 0 1 9 3 0 0
67.5 0 0 0 0 0 1 6 2 0 0
67.0 0 0 0 0 0 2 3 3 0 0
66.5 0 0 0 0 0 1 7 6 0 0
66.0 0 0 0 0 0 5 5 4 0 0
65.5 0 0 0 0 0 2 8 6 0 1
65.0 0 0 0 0 0 3 6 1 0 0
64.5 0 0 0 0 0 2 8 3 0 0
64.0 0 0 0 0 0 1 7 2 0 0
63.5 0 0 0 0 0 2 4 2 0 0
63.0 0 0 0 0 0 0 5 6 1 0
62.5 0 0 0 0 0 1 8 6 0 1
62.0 0 0 0 0 0 0 4 2 0 0
61.5 0 0 0 0 0 1 7 6 0 0
61.0 0 0 0 0 0 4 5 6 0 0
60.5 0 0 0 0 0 1 4 2 0 0
60.0 0 0 0 0 0 1 12 5 0 1
59.5 0 0 0 0 0 2 2 3 0 0
59.0 0 0 0 0 1 1 7 3 0 0
58.5 0 0 0 0 0 0 1 2 0 1
58.0 0 0 0 0 0 0 4 0 1 0
57.5 0 0 0 0 0 0 5 4 0 0
57.0 0 0 0 0 0 2 2 4 0 0
56.5 0 0 0 0 1 1 4 2 0 0
56.0 0 0 0 0 0 0 3 1 0 0
55.5 0 0 0 0 0 4 3 4 0 0
55.0 0 0 0 0 0 1 3 4 0 1
54.5 0 0 0 0 0 1 5 5 0 0
54.0 0 0 0 0 0 2 9 5 0 0
53.5 0 0 0 0 0 1 1 2 0 0
53.0 0 0 0 0 0 1 8 1 0 0
52.5 0 0 0 0 0 0 2 1 0 0
52.0 0 0 0 0 0 0 2 3 0 0
51.5 0 0 0 0 0 0 4 3 0 0
51.0 0 0 0 0 0 0 2 0 0 0
50.5 0 0 0 0 0 2 6 4 0 0
50.0 0 0 0 0 0 0 5 4 0 0
49.5 0 0 0 0 0 1 2 2 0 0
49.0 0 0 0 0 0 0 5 4 0 0
48.5 0 0 0 0 0 0 3 0 0 0
48.0 0 0 0 0 0 0 5 4 0 0
47.5 0 0 0 0 0 0 1 1 0 0
47.0 0 0 0 0 0 2 0 1 0 0
46.5 0 0 0 0 0 0 3 0 0 0
46.0 0 0 0 0 0 0 4 1 0 0
45.5 0 0 0 0 0 0 2 2 0 0
45.0 0 0 0 0 0 0 1 0 0 0
44.5 0 0 0 0 0 0 1 0 0 0
44.0 0 0 0 0 0 0 0 2 0 0
43.5 0 0 0 0 0 1 0 0 0 0
43.0 0 0 0 0 0 0 0 1 0 0
42.5 0 0 0 0 0 1 0 2 0 0
42.0 0 0 0 0 0 0 7 6 0 0
41.5 0 0 0 0 0 0 1 0 0 0
41.0 0 0 0 0 0 0 1 0 0 0
40.5 0 0 0 0 0 0 0 3 0 0
40.0 0 0 0 0 0 0 2 0 0 0
39.5 0 0 0 0 0 0 2 1 0 0
39.0 0 0 0 0 0 0 0 0 0 0
38.5 0 0 0 0 0 0 3 0 0 0
38.0 0 0 0 0 0 0 2 1 0 0
37.5 0 0 0 0 0 0 5 0 0 0
37.0 0 0 0 0 0 0 0 0 0 0
36.5 0 0 0 0 0 0 0 1 0 0
36.0 0 0 0 0 0 0 3 4 0 0
35.5 0 0 0 0 0 0 0 0 0 0
35.0 0 0 0 0 0 0 2 0 0 0
34.5 0 0 0 0 0 0 0 0 0 0
34.0 0 0 0 0 0 0 2 1 0 0
33.5 0 0 0 0 0 0 0 0 0 0
33.0 0 0 0 0 0 0 1 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 1 0 0 0
30.0 0 0 0 0 0 0 6 1 0 0
29.5 0 0 0 0 0 0 0 0 0 0
29.0 0 0 0 0 0 0 0 0 0 0
28.5 0 0 0 0 0 0 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 0 0 0 0 0
26.5 0 0 0 0 0 0 0 2 0 0
26.0 0 0 0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 1 0 0 0
25.0 0 0 0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0 0 0 0
24.0 0 0 0 0 0 0 3 0 0 0
23.5 0 0 0 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 1 0 0 0
22.5 0 0 0 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 0 1 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 1 0 0 0
20.0 0 0 0 0 0 0 0 0 0 0
19.5 0 0 0 0 0 0 1 0 0 0
19.0 0 0 0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0 0 0 0
18.0 0 0 0 0 0 0 0 0 0 0
17.5 0 0 0 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0 0 0 0
16.5 0 0 0 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0 0 0 0
15.5 0 0 0 0 0 0 0 0 0 0
15.0 0 0 0 0 0 0 0 0 0 0
14.5 0 0 0 0 0 0 0 0 0 0
14.0 0 0 0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0
12.0 0 0 0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0 0 0 0
6.0 0 0 0 0 0 0 0 0 0 0
5.5 0 0 0 0 0 0 0 0 0 0
5.0 0 0 0 0 0 0 0 0 0 0
4.5 0 0 0 0 0 0 0 0 0 0
4.0 0 0 0 0 0 0 0 0 0 0
3.5 0 0 0 0 0 0 0 0 0 0
3.0 0 0 0 0 0 0 0 0 0 0
2.5 0 0 0 0 0 0 0 0 0 0
2.0 0 0 0 0 0 0 0 0 0 0
1.5 0 0 0 0 0 0 0 0 0 0
1.0 0 0 0 0 0 0 0 0 0 0
0.5 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for Utah
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 0.49 2.27 0.82 4.03* 0.48 1.91 0.00
2 0.03 8.93* 0.10 0.65 0.02 0.27 0.00
3 0.48 2.01 0.53 4.45* 0.41 2.12 0.00
4 4.86* 0.15 0.23 3.23 0.11 1.42 0.00
5 0.29 0.12 0.23 0.24 6.57* 2.53 0.01
6 1.71 1.51 2.65* 0.48 0.65 2.99 0.01
7 1.66 1.57* 0.98 1.49 0.31 3.98 0.00
8 1.56 0.63 0.32 0.32 5.86* 1.31 0.00
9 0.58 0.84 1.59 2.59* 0.19 4.22 0.00
10 0.44 1.30 0.44 2.18* 0.32 5.33 0.00
11 0.55 0.63 0.81* 0.38 1.20 6.43 0.00
12 0.16 0.29 0.60 0.58 6.16* 2.21 0.00
13 0.40 0.47 0.67 0.99 4.85* 2.62 0.00
14 0.98 0.45 0.55 3.32* 1.48 3.22 0.00
15 0.19 0.38 0.65* 0.18 0.28 8.32 0.00
16 0.45 0.45 4.85* 0.31 0.81 3.15 0.00
17 0.85 0.91* 0.36 0.59 0.40 6.88 0.00
18 0.18 0.49* 0.25 0.18 0.24 8.66 0.00
19 0.98 0.58 1.33 0.93* 0.39 5.78 0.00
20 0.47* 0.38 0.84 1.48 0.33 6.49 0.00
21 0.85 0.39 0.29 0.60* 1.67 6.19 0.00
22 0.60 0.48 0.39* 0.90 0.32 7.30 0.00
23 0.24 0.38* 0.42 0.24 0.21 8.51 0.00
24 0.16 1.19* 1.10 0.19 0.26 7.10 0.00
25 0.58 0.37 0.14* 0.15 2.19 6.57 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2003 AMC 10 B Results for Utah
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 1 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 0 2
148.0 0 0 123.0 0 0 98.0 2 0
147.5 0 0 122.5 0 0 97.5 0 0
147.0 0 0 122.0 0 0 97.0 0 0
146.5 0 0 121.5 0 0 96.5 3 0
146.0 0 0 121.0 0 0 96.0 1 0
145.5 0 0 120.5 1 0 95.5 0 1
145.0 0 0 120.0 0 0 95.0 1 0
144.5 0 0 119.5 0 0 94.5 0 0
144.0 0 0 119.0 0 0 94.0 0 0
143.5 0 0 118.5 0 0 93.5 4 0
143.0 0 0 118.0 0 0 93.0 0 0
142.5 0 0 117.5 0 0 92.5 0 2
142.0 0 0 117.0 0 0 92.0 1 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 1 0
140.0 0 0 115.0 0 0 90.0 0 1
139.5 0 0 114.5 0 0 89.5 0 0
139.0 0 0 114.0 0 0 89.0 0 0
138.5 0 0 113.5 1 0 88.5 1 2
138.0 0 0 113.0 0 0 88.0 0 0
137.5 0 0 112.5 0 0 87.5 1 0
137.0 0 0 112.0 0 0 87.0 1 0
136.5 0 0 111.5 0 0 86.5 0 0
136.0 0 0 111.0 0 0 86.0 1 0
135.5 0 0 110.5 0 0 85.5 0 0
135.0 0 0 110.0 0 0 85.0 0 1
134.5 0 0 109.5 0 0 84.5 0 0
134.0 0 0 109.0 0 0 84.0 1 1
133.5 0 0 108.5 0 0 83.5 2 0
133.0 0 0 108.0 0 1 83.0 0 0
132.5 0 0 107.5 0 0 82.5 1 0
132.0 0 0 107.0 0 0 82.0 0 0
131.5 0 0 106.5 0 0 81.5 0 2
131.0 0 0 106.0 0 0 81.0 1 0
130.5 0 0 105.5 0 0 80.5 0 1
130.0 0 0 105.0 1 0 80.0 0 0
129.5 0 0 104.5 0 0 79.5 1 0
129.0 0 0 104.0 0 0 79.0 0 0
128.5 0 0 103.5 0 0 78.5 0 0
128.0 0 0 103.0 2 0 78.0 2 0
127.5 0 0 102.5 0 0 77.5 0 0
127.0 0 0 102.0 0 2 77.0 1 2
126.5 0 0 101.5 0 0 76.5 0 0
126.0 0 0 101.0 1 0 76.0 1 1
125.5 1 0 100.5 2 0 75.5 1 0
American Mathematics Competitions
2003 AMC 10 B Results for Utah
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 0 1 50.0 0 0 25.0 0 0
74.5 0 0 49.5 0 0 24.5 0 0
74.0 0 0 49.0 0 0 24.0 0 0
73.5 0 0 48.5 0 0 23.5 0 0
73.0 1 0 48.0 0 0 23.0 0 0
72.5 1 1 47.5 0 0 22.5 0 0
72.0 1 0 47.0 0 0 22.0 0 0
71.5 0 0 46.5 0 0 21.5 0 0
71.0 1 0 46.0 0 0 21.0 0 0
70.5 0 1 45.5 0 0 20.5 0 0
70.0 2 0 45.0 0 0 20.0 0 0
69.5 0 1 44.5 0 0 19.5 0 0
69.0 0 0 44.0 0 0 19.0 0 0
68.5 0 0 43.5 0 0 18.5 0 0
68.0 0 0 43.0 0 0 18.0 0 0
67.5 0 0 42.5 0 0 17.5 0 0
67.0 0 0 42.0 0 0 17.0 0 0
66.5 1 0 41.5 0 0 16.5 0 0
66.0 1 0 41.0 0 0 16.0 0 0
65.5 0 0 40.5 0 0 15.5 0 0
65.0 0 0 40.0 0 0 15.0 0 0
64.5 0 0 39.5 0 0 14.5 0 0
64.0 0 0 39.0 0 0 14.0 0 0
63.5 0 0 38.5 0 0 13.5 0 0
63.0 0 1 38.0 0 0 13.0 0 0
62.5 0 0 37.5 0 0 12.5 0 0
62.0 0 0 37.0 0 0 12.0 0 0
61.5 0 0 36.5 0 0 11.5 0 0
61.0 0 0 36.0 0 0 11.0 0 0
60.5 0 0 35.5 0 0 10.5 0 0
60.0 0 0 35.0 0 0 10.0 0 0
59.5 0 0 34.5 0 0 9.5 0 0
59.0 0 1 34.0 0 0 9.0 0 0
58.5 0 0 33.5 0 0 8.5 0 0
58.0 0 0 33.0 0 0 8.0 0 0
57.5 0 0 32.5 0 0 7.5 0 0
57.0 1 0 32.0 0 0 7.0 0 0
56.5 0 0 31.5 0 0 6.5 0 0
56.0 0 0 31.0 0 0 6.0 0 0
55.5 0 0 30.5 0 0 5.5 0 0
55.0 0 1 30.0 0 0 5.0 0 0
54.5 0 0 29.5 0 0 4.5 0 0
54.0 0 0 29.0 0 0 4.0 0 0
53.5 0 0 28.5 0 0 3.5 0 0
53.0 1 0 28.0 0 0 3.0 0 0
52.5 0 0 27.5 0 0 2.5 0 0
52.0 0 0 27.0 0 0 2.0 0 0
51.5 0 0 26.5 0 0 1.5 0 0
51.0 0 0 26.0 0 0 1.0 0 0
50.5 0 1 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 B Results for Utah
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 unknown
---------------------------
150.0 0 0 0 0 0 0 0
149.5 0 0 0 0 0 0 0
149.0 0 0 0 0 0 0 0
148.5 0 0 0 0 0 0 0
148.0 0 0 0 0 0 0 0
147.5 0 0 0 0 0 0 0
147.0 0 0 0 0 0 0 0
146.5 0 0 0 0 0 0 0
146.0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0
144.0 0 0 0 0 0 0 0
143.5 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0
140.5 0 0 0 0 0 0 0
140.0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 0 0
139.0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0
138.0 0 0 0 0 0 0 0
137.5 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 0
136.5 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 0
135.5 0 0 0 0 0 0 0
135.0 0 0 0 0 0 0 0
134.5 0 0 0 0 0 0 0
134.0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 0 0
133.0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0
132.0 0 0 0 0 0 0 0
131.5 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 0
130.5 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0
129.5 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 0 0
128.0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 0
127.0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 0
126.0 0 0 0 0 0 0 0
125.5 0 0 0 0 1 0 0
125.0 0 0 0 0 1 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 0 1 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 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 0 0 0
114.0 0 0 0 0 0 0 0
113.5 0 0 0 1 0 0 0
113.0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 0 0
112.0 0 0 0 0 0 0 0
111.5 0 0 0 0 0 0 0
111.0 0 0 0 0 0 0 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 0
109.5 0 0 0 0 0 0 0
109.0 0 0 0 0 0 0 0
108.5 0 0 0 0 0 0 0
108.0 0 0 0 0 0 1 0
107.5 0 0 0 0 0 0 0
107.0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 0 0
106.0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 0 0
105.0 0 0 0 1 0 0 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 0 0 2 0
102.5 0 0 0 0 0 0 0
102.0 0 0 1 0 0 1 0
101.5 0 0 0 0 0 0 0
101.0 0 0 0 0 0 1 0
100.5 0 0 0 0 0 2 0
100.0 0 0 0 0 1 0 0
99.5 0 0 0 0 0 1 0
99.0 0 0 0 0 0 1 0
98.5 0 0 0 0 2 0 0
98.0 0 0 0 0 0 2 0
97.5 0 0 0 0 0 0 0
97.0 0 0 0 0 0 0 0
96.5 0 0 1 1 0 1 0
96.0 0 0 0 0 0 1 0
95.5 0 0 0 1 0 0 0
95.0 0 0 0 0 0 1 0
94.5 0 0 0 0 0 0 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 0 0 0
92.5 0 0 1 0 1 0 0
92.0 0 0 0 1 0 0 0
91.5 0 0 0 0 0 0 0
91.0 0 0 0 0 0 1 0
90.5 0 0 0 1 0 0 0
90.0 0 0 0 0 0 1 0
89.5 0 0 0 0 0 0 0
89.0 0 0 0 0 0 0 0
88.5 0 0 0 1 0 2 0
88.0 0 0 0 0 0 0 0
87.5 0 0 0 0 0 1 0
87.0 0 0 0 0 0 1 0
86.5 0 0 0 0 0 0 0
86.0 0 0 0 0 0 1 0
85.5 0 0 0 0 0 0 0
85.0 0 0 0 1 0 0 0
84.5 0 0 0 0 0 0 0
84.0 0 0 0 0 0 2 0
83.5 0 0 0 1 0 1 0
83.0 0 0 0 0 0 0 0
82.5 0 0 0 0 0 1 0
82.0 0 0 0 0 0 0 0
81.5 0 0 0 2 0 0 0
81.0 0 0 0 0 0 1 0
80.5 0 0 0 0 0 1 0
80.0 0 0 0 0 0 0 1
79.5 0 0 0 0 0 1 0
79.0 0 0 0 0 0 0 0
78.5 0 0 0 0 0 0 0
78.0 0 0 0 0 0 2 0
77.5 0 0 0 0 0 0 0
77.0 0 0 0 0 1 2 0
76.5 0 0 0 0 0 0 0
76.0 0 0 0 0 1 1 0
75.5 0 0 0 0 0 1 0
75.0 0 0 0 0 1 0 0
74.5 0 0 0 0 0 0 0
74.0 0 0 0 0 0 0 0
73.5 0 0 0 0 0 1 0
73.0 0 0 0 1 0 0 0
72.5 0 0 0 1 0 1 0
72.0 0 0 0 0 0 1 0
71.5 0 0 0 0 0 0 0
71.0 0 0 0 0 0 1 0
70.5 0 0 0 0 0 1 0
70.0 0 0 0 0 1 1 0
69.5 0 0 0 0 0 1 1
69.0 0 0 0 0 0 0 0
68.5 0 0 0 0 0 0 0
68.0 0 0 0 0 0 0 0
67.5 0 0 0 0 0 0 0
67.0 0 0 0 0 0 0 0
66.5 0 0 0 0 1 0 0
66.0 0 0 0 0 0 1 0
65.5 0 0 0 0 0 0 0
65.0 0 0 0 0 0 0 0
64.5 0 0 0 0 0 0 0
64.0 0 0 0 0 0 0 0
63.5 0 0 0 0 0 0 0
63.0 0 0 0 0 0 1 0
62.5 0 0 0 0 0 0 0
62.0 0 0 0 0 0 0 1
61.5 0 0 0 0 0 0 0
61.0 0 0 0 0 0 0 0
60.5 0 0 0 0 0 0 0
60.0 0 0 0 0 0 0 0
59.5 0 0 0 0 0 0 0
59.0 0 0 0 0 1 0 0
58.5 0 0 0 0 0 0 0
58.0 0 0 0 0 0 0 0
57.5 0 0 0 0 0 0 0
57.0 0 0 0 0 0 1 0
56.5 0 0 0 0 0 0 0
56.0 0 0 0 0 0 0 0
55.5 0 0 0 0 0 0 0
55.0 0 0 0 0 0 1 0
54.5 0 0 0 0 0 0 0
54.0 0 0 0 0 0 0 0
53.5 0 0 0 0 0 0 0
53.0 0 0 0 0 0 1 0
52.5 0 0 0 0 0 0 0
52.0 0 0 0 0 0 0 0
51.5 0 0 0 0 0 0 0
51.0 0 0 0 0 0 0 0
50.5 0 0 0 0 0 1 0
50.0 0 0 0 0 0 0 0
49.5 0 0 0 0 0 0 0
49.0 0 0 0 0 0 0 0
48.5 0 0 0 0 0 0 0
48.0 0 0 0 0 0 0 0
47.5 0 0 0 0 0 0 0
47.0 0 0 0 0 0 0 0
46.5 0 0 0 0 0 0 0
46.0 0 0 0 0 0 0 0
45.5 0 0 0 0 0 0 0
45.0 0 0 0 0 0 0 0
44.5 0 0 0 0 0 0 0
44.0 0 0 0 0 0 0 0
43.5 0 0 0 0 0 0 0
43.0 0 0 0 0 0 0 0
42.5 0 0 0 0 0 0 0
42.0 0 0 0 0 0 0 0
41.5 0 0 0 0 0 0 0
41.0 0 0 0 0 0 0 0
40.5 0 0 0 0 0 0 0
40.0 0 0 0 0 0 0 0
39.5 0 0 0 0 0 0 0
39.0 0 0 0 0 0 0 0
38.5 0 0 0 0 0 0 0
38.0 0 0 0 0 0 0 0
37.5 0 0 0 0 0 0 0
37.0 0 0 0 0 0 0 0
36.5 0 0 0 0 0 0 0
36.0 0 0 0 0 0 0 0
35.5 0 0 0 0 0 0 0
35.0 0 0 0 0 0 0 0
34.5 0 0 0 0 0 0 0
34.0 0 0 0 0 0 0 0
33.5 0 0 0 0 0 0 0
33.0 0 0 0 0 0 0 0
32.5 0 0 0 0 0 0 0
32.0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 0 0
31.0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 0 0
30.0 0 0 0 0 0 0 0
29.5 0 0 0 0 0 0 0
29.0 0 0 0 0 0 0 0
28.5 0 0 0 0 0 0 0
28.0 0 0 0 0 0 0 0
27.5 0 0 0 0 0 0 0
27.0 0 0 0 0 0 0 0
26.5 0 0 0 0 0 0 0
26.0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 0
25.0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0
24.0 0 0 0 0 0 0 0
23.5 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 0
22.5 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 0
21.5 0 0 0 0 0 0 0
21.0 0 0 0 0 0 0 0
20.5 0 0 0 0 0 0 0
20.0 0 0 0 0 0 0 0
19.5 0 0 0 0 0 0 0
19.0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0
18.0 0 0 0 0 0 0 0
17.5 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0
16.5 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0
15.5 0 0 0 0 0 0 0
15.0 0 0 0 0 0 0 0
14.5 0 0 0 0 0 0 0
14.0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0
12.0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0
6.0 0 0 0 0 0 0 0
5.5 0 0 0 0 0 0 0
5.0 0 0 0 0 0 0 0
4.5 0 0 0 0 0 0 0
4.0 0 0 0 0 0 0 0
3.5 0 0 0 0 0 0 0
3.0 0 0 0 0 0 0 0
2.5 0 0 0 0 0 0 0
2.0 0 0 0 0 0 0 0
1.5 0 0 0 0 0 0 0
1.0 0 0 0 0 0 0 0
0.5 0 0 0 0 0 0 0
0 0 0 0 0 0 0
American Mathematics Competitions
2003 AMC 10 B Results for Utah
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 0.00 10.00* 0.00 0.00 0.00 0.00
2 0.00 0.00 1.08 8.07* 0.12 0.72 0.00
3 0.00 7.35* 0.60 0.96 0.00 1.08 0.00
4 8.31* 0.00 0.12 0.12 0.24 1.20 0.00
5 0.36 0.24 5.30* 0.60 0.72 2.77 0.00
6 0.72 1.57 0.00 5.18* 0.12 2.41 0.00
7 0.36 6.51* 0.12 0.72 0.48 1.81 0.00
8 0.24 0.72* 0.12 0.60 0.36 7.95 0.00
9 0.12 3.73* 0.00 1.08 0.00 5.06 0.00
10 0.36 0.60 4.10* 0.72 0.00 4.22 0.00
11 6.75* 0.48 0.12 0.24 0.48 1.93 0.00
12 0.24 0.24 6.63* 0.00 0.12 2.77 0.00
13 2.89 0.36 0.48 1.08 1.57* 3.61 0.00
14 0.84 0.24 0.00 3.25* 0.24 5.42 0.00
15 1.33 1.57 0.00 1.69 2.29* 3.13 0.00
16 0.00 0.12 0.72 0.12 6.14* 2.89 0.00
17 0.00 1.93* 0.12 0.00 0.00 7.95 0.00
18 0.12 1.08 0.00 1.45* 1.57 5.78 0.00
19 0.00 0.24 0.24 0.12 0.72* 8.67 0.00
20 0.12 0.12 0.36 1.93* 1.20 6.27 0.00
21 1.57 0.24 0.60* 0.72 0.48 6.39 0.00
22 0.96 2.17* 2.05 0.84 0.48 3.49 0.00
23 0.12 0.48 0.36 0.48* 0.24 8.31 0.00
24 0.00 0.12 0.72 0.00 0.00* 9.16 0.00
25 0.84 2.41* 0.96 0.00 0.00 5.78 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 Utah
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 0 0
149.0 0 0 124.0 0 0 99.0 0 0
148.5 0 0 123.5 0 0 98.5 0 0
148.0 0 0 123.0 0 0 98.0 0 0
147.5 0 0 122.5 0 0 97.5 0 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 0 1
144.5 0 0 119.5 0 0 94.5 1 0
144.0 0 0 119.0 0 0 94.0 0 0
143.5 0 0 118.5 0 0 93.5 0 1
143.0 0 0 118.0 0 0 93.0 0 0
142.5 0 0 117.5 0 0 92.5 1 0
142.0 0 0 117.0 0 0 92.0 1 0
141.5 0 0 116.5 0 0 91.5 1 0
141.0 0 0 116.0 0 0 91.0 0 0
140.5 0 0 115.5 0 0 90.5 0 0
140.0 0 0 115.0 0 0 90.0 1 0
139.5 0 0 114.5 0 0 89.5 0 0
139.0 0 0 114.0 0 0 89.0 1 1
138.5 0 0 113.5 0 0 88.5 0 0
138.0 0 0 113.0 0 0 88.0 1 0
137.5 0 0 112.5 0 0 87.5 0 0
137.0 0 0 112.0 0 0 87.0 0 0
136.5 0 0 111.5 0 0 86.5 1 1
136.0 0 0 111.0 0 0 86.0 1 0
135.5 0 0 110.5 0 0 85.5 1 0
135.0 0 0 110.0 0 0 85.0 0 1
134.5 0 0 109.5 0 0 84.5 1 0
134.0 0 0 109.0 3 0 84.0 0 4
133.5 0 0 108.5 0 0 83.5 0 0
133.0 0 0 108.0 0 0 83.0 2 2
132.5 0 0 107.5 0 0 82.5 0 0
132.0 0 0 107.0 0 0 82.0 1 0
131.5 0 0 106.5 0 0 81.5 0 0
131.0 0 0 106.0 0 0 81.0 0 0
130.5 0 0 105.5 1 0 80.5 0 1
130.0 0 0 105.0 0 0 80.0 0 0
129.5 0 0 104.5 1 0 79.5 1 0
129.0 0 0 104.0 0 0 79.0 0 0
128.5 0 0 103.5 0 0 78.5 1 1
128.0 0 0 103.0 0 0 78.0 2 0
127.5 0 0 102.5 0 0 77.5 0 0
127.0 0 0 102.0 1 0 77.0 3 1
126.5 0 0 101.5 0 0 76.5 1 0
126.0 0 0 101.0 0 0 76.0 1 2
125.5 1 0 100.5 0 0 75.5 3 2
American Mathematics Competitions
2003 AMC 12 B Results for Utah
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 0 0 50.0 0 0 25.0 0 0
74.5 3 0 49.5 0 0 24.5 0 0
74.0 0 0 49.0 0 1 24.0 0 0
73.5 1 1 48.5 0 0 23.5 0 0
73.0 1 0 48.0 1 0 23.0 0 0
72.5 1 0 47.5 0 0 22.5 0 0
72.0 2 1 47.0 0 0 22.0 0 0
71.5 1 0 46.5 0 1 21.5 0 0
71.0 1 2 46.0 0 0 21.0 0 0
70.5 1 0 45.5 0 0 20.5 0 0
70.0 0 0 45.0 0 0 20.0 0 0
69.5 1 0 44.5 0 0 19.5 0 0
69.0 1 0 44.0 0 0 19.0 0 0
68.5 0 2 43.5 0 0 18.5 0 0
68.0 0 0 43.0 0 0 18.0 0 0
67.5 2 1 42.5 0 0 17.5 0 0
67.0 1 0 42.0 0 1 17.0 0 0
66.5 0 2 41.5 0 0 16.5 0 0
66.0 2 1 41.0 0 0 16.0 0 0
65.5 0 0 40.5 0 0 15.5 0 0
65.0 2 1 40.0 0 0 15.0 0 0
64.5 1 2 39.5 0 0 14.5 0 0
64.0 1 1 39.0 0 0 14.0 0 0
63.5 0 0 38.5 0 0 13.5 0 0
63.0 0 0 38.0 0 0 13.0 0 0
62.5 1 1 37.5 0 0 12.5 0 0
62.0 1 0 37.0 0 0 12.0 0 0
61.5 0 0 36.5 0 0 11.5 0 0
61.0 0 0 36.0 0 0 11.0 0 0
60.5 0 0 35.5 0 0 10.5 0 0
60.0 0 2 35.0 0 0 10.0 0 0
59.5 0 0 34.5 0 0 9.5 0 0
59.0 0 0 34.0 0 0 9.0 0 0
58.5 0 0 33.5 0 0 8.5 0 0
58.0 0 0 33.0 0 0 8.0 0 0
57.5 0 0 32.5 0 0 7.5 0 0
57.0 2 0 32.0 0 0 7.0 0 0
56.5 0 2 31.5 0 0 6.5 0 0
56.0 0 0 31.0 0 0 6.0 0 0
55.5 0 0 30.5 0 0 5.5 0 0
55.0 0 0 30.0 0 0 5.0 0 0
54.5 0 1 29.5 0 0 4.5 0 0
54.0 0 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 1 27.5 0 0 2.5 0 0
52.0 0 0 27.0 0 0 2.0 0 0
51.5 0 1 26.5 0 0 1.5 0 0
51.0 0 0 26.0 0 0 1.0 0 0
50.5 0 1 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 B Results for Utah
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 0 0 0 0 0 0 0 0 0 0
149.5 0 0 0 0 0 0 0 0 0 0
149.0 0 0 0 0 0 0 0 0 0 0
148.5 0 0 0 0 0 0 0 0 0 0
148.0 0 0 0 0 0 0 0 0 0 0
147.5 0 0 0 0 0 0 0 0 0 0
147.0 0 0 0 0 0 0 0 0 0 0
146.5 0 0 0 0 0 0 0 0 0 0
146.0 0 0 0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0 0 0 0
144.0 0 0 0 0 0 0 0 0 0 0
143.5 0 0 0 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0 0 0 0
140.5 0 0 0 0 0 0 0 0 0 0
140.0 0 0 0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 0 0 0 0 0
139.0 0 0 0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0 0 0 0
138.0 0 0 0 0 0 0 0 0 0 0
137.5 0 0 0 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 0 0 0 0
136.5 0 0 0 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 0 0 0 0
135.5 0 0 0 0 0 0 0 0 0 0
135.0 0 0 0 0 0 0 0 0 0 0
134.5 0 0 0 0 0 0 0 0 0 0
134.0 0 0 0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 0 0 0 0 0
133.0 0 0 0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0 0 0 0
132.0 0 0 0 0 0 0 0 0 0 0
131.5 0 0 0 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 0 0 0 0
130.5 0 0 0 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0 0 0 0
129.5 0 0 0 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 0 0 0 0 0
128.0 0 0 0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 0 0 0 0
127.0 0 0 0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 0 0 0 0
126.0 0 0 0 0 0 0 0 0 0 0
125.5 0 0 1 0 0 0 0 0 0 0
125.0 0 0 0 0 0 0 0 0 0 0
124.5 0 0 0 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 0 0 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0 0 0 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0 0 0 0
121.5 0 0 0 0 0 0 0 0 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 0 0 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 0 0 0 0 0
119.0 0 0 0 0 0 0 0 0 0 0
118.5 0 0 0 0 0 0 0 0 0 0
118.0 0 0 0 0 0 0 0 0 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 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 0 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 0 0 0
109.5 0 0 0 0 0 0 0 0 0 0
109.0 0 0 0 0 0 0 1 2 0 0
108.5 0 0 0 0 0 0 0 0 0 0
108.0 0 0 0 0 0 0 0 0 0 0
107.5 0 0 0 0 0 0 0 0 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 0 0 0 0 0
106.0 0 0 0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 0 0 1 0 0
105.0 0 0 0 0 0 0 0 0 0 0
104.5 0 0 0 0 0 0 0 1 0 0
104.0 0 0 0 0 0 0 0 0 0 0
103.5 0 0 0 0 0 0 0 0 0 0
103.0 0 0 0 0 0 0 0 0 0 0
102.5 0 0 0 0 0 0 0 0 0 0
102.0 0 0 0 0 0 0 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 0 0 0
100.5 0 0 0 0 0 0 0 0 0 0
100.0 0 0 0 0 0 0 0 0 0 0
99.5 0 0 0 0 0 0 0 0 0 0
99.0 0 0 0 0 0 0 0 0 0 0
98.5 0 0 0 0 0 0 0 0 0 0
98.0 0 0 0 0 0 0 0 0 0 0
97.5 0 0 0 0 0 0 0 0 0 0
97.0 0 0 0 0 0 0 2 0 0 0
96.5 0 0 0 0 0 0 0 0 0 0
96.0 0 0 0 0 0 0 0 1 0 0
95.5 0 0 0 0 0 0 0 0 0 0
95.0 0 0 0 0 0 0 1 0 0 0
94.5 0 0 0 0 0 0 0 1 0 0
94.0 0 0 0 0 0 0 0 0 0 0
93.5 0 0 0 0 0 0 0 1 0 0
93.0 0 0 0 0 0 0 0 0 0 0
92.5 0 0 0 0 0 0 0 1 0 0
92.0 0 0 0 0 0 0 1 0 0 0
91.5 0 0 0 0 0 0 1 0 0 0
91.0 0 0 0 0 0 0 0 0 0 0
90.5 0 0 0 0 0 0 0 0 0 0
90.0 0 0 0 0 0 0 0 1 0 0
89.5 0 0 0 0 0 0 0 0 0 0
89.0 0 0 0 0 0 0 1 1 0 0
88.5 0 0 0 0 0 0 0 0 0 0
88.0 0 0 0 0 0 0 1 0 0 0
87.5 0 0 0 0 0 0 0 0 0 0
87.0 0 0 0 0 0 0 0 0 0 0
86.5 0 0 0 0 0 0 1 1 0 0
86.0 0 0 0 0 0 0 1 0 0 0
85.5 0 0 0 0 0 0 0 1 0 0
85.0 0 0 0 0 0 0 0 1 0 0
84.5 0 0 0 0 0 0 1 0 0 0
84.0 0 0 0 0 0 0 4 0 0 0
83.5 0 0 0 0 0 0 0 0 0 0
83.0 0 0 0 0 0 0 3 1 0 0
82.5 0 0 0 0 0 0 0 0 0 0
82.0 0 0 0 0 0 0 1 0 0 0
81.5 0 0 0 0 0 0 0 0 0 0
81.0 0 0 0 0 0 0 0 0 0 0
80.5 0 0 0 0 0 0 0 1 0 0
80.0 0 0 0 0 0 0 0 0 0 0
79.5 0 0 0 0 0 0 1 0 0 0
79.0 0 0 0 0 0 0 0 0 0 0
78.5 0 0 0 0 0 0 1 1 0 0
78.0 0 0 0 0 0 0 1 1 0 0
77.5 0 0 0 0 0 0 0 0 0 0
77.0 0 0 0 0 0 0 3 1 0 0
76.5 0 0 0 0 0 0 0 1 0 0
76.0 0 0 0 0 0 0 2 1 0 0
75.5 0 0 0 0 0 0 2 3 0 0
75.0 0 0 0 0 0 0 0 0 0 0
74.5 0 0 0 0 0 0 2 1 0 0
74.0 0 0 0 0 0 0 0 0 0 0
73.5 0 0 0 0 0 0 0 2 0 0
73.0 0 0 0 0 0 0 1 0 0 0
72.5 0 0 0 0 0 0 2 0 0 0
72.0 0 0 0 0 0 0 3 0 0 0
71.5 0 0 0 0 0 0 0 1 0 0
71.0 0 0 0 0 0 0 1 2 0 0
70.5 0 0 0 0 0 0 1 0 0 0
70.0 0 0 0 0 0 0 0 0 0 0
69.5 0 0 0 0 0 0 0 1 0 0
69.0 0 0 0 0 0 0 1 0 0 0
68.5 0 0 0 0 0 0 2 0 0 0
68.0 0 0 0 0 0 0 0 0 0 0
67.5 0 0 0 0 0 0 2 1 0 0
67.0 0 0 0 0 0 0 1 0 0 1
66.5 0 0 0 0 0 0 1 1 0 0
66.0 0 0 0 0 0 0 0 3 0 0
65.5 0 0 0 0 0 0 0 0 0 0
65.0 0 0 0 0 0 0 3 0 0 0
64.5 0 0 0 0 0 0 1 2 0 0
64.0 0 0 0 0 0 0 1 2 0 0
63.5 0 0 0 0 0 0 0 0 0 0
63.0 0 0 0 0 0 0 0 0 0 0
62.5 0 0 0 0 0 0 0 2 0 0
62.0 0 0 0 0 0 0 1 0 0 0
61.5 0 0 0 0 0 0 0 0 0 0
61.0 0 0 0 0 0 0 0 0 0 0
60.5 0 0 0 0 0 0 0 0 0 0
60.0 0 0 0 0 0 0 2 0 0 0
59.5 0 0 0 0 0 0 0 0 0 0
59.0 0 0 0 0 0 0 0 0 0 0
58.5 0 0 0 0 0 0 0 0 0 0
58.0 0 0 0 0 0 0 0 0 0 0
57.5 0 0 0 0 0 0 0 0 0 0
57.0 0 0 0 0 0 0 1 1 0 0
56.5 0 0 0 0 0 0 1 1 0 0
56.0 0 0 0 0 0 0 0 0 0 0
55.5 0 0 0 0 0 0 0 0 0 0
55.0 0 0 0 0 0 0 0 0 0 0
54.5 0 0 0 0 0 0 0 1 0 0
54.0 0 0 0 0 0 0 1 0 0 0
53.5 0 0 0 0 0 0 0 0 0 0
53.0 0 0 0 0 0 0 0 0 0 0
52.5 0 0 0 0 0 0 1 0 0 0
52.0 0 0 0 0 0 0 0 0 0 0
51.5 0 0 0 0 0 0 1 0 0 0
51.0 0 0 0 0 0 0 0 0 0 0
50.5 0 0 0 0 0 0 0 1 0 0
50.0 0 0 0 0 0 0 0 0 0 0
49.5 0 0 0 0 0 0 0 0 0 0
49.0 0 0 0 0 0 0 0 1 0 0
48.5 0 0 0 0 0 0 0 0 0 0
48.0 0 0 0 0 0 0 0 1 0 0
47.5 0 0 0 0 0 0 0 0 0 0
47.0 0 0 0 0 0 0 0 0 0 0
46.5 0 0 0 0 0 0 0 1 0 0
46.0 0 0 0 0 0 0 0 0 0 0
45.5 0 0 0 0 0 0 0 0 0 0
45.0 0 0 0 0 0 0 0 0 0 0
44.5 0 0 0 0 0 0 0 0 0 0
44.0 0 0 0 0 0 0 0 0 0 0
43.5 0 0 0 0 0 0 0 0 0 0
43.0 0 0 0 0 0 0 0 0 0 0
42.5 0 0 0 0 0 0 0 0 0 0
42.0 0 0 0 0 0 0 1 0 0 0
41.5 0 0 0 0 0 0 0 0 0 0
41.0 0 0 0 0 0 0 0 0 0 0
40.5 0 0 0 0 0 0 0 0 0 0
40.0 0 0 0 0 0 0 0 0 0 0
39.5 0 0 0 0 0 0 0 0 0 0
39.0 0 0 0 0 0 0 0 0 0 0
38.5 0 0 0 0 0 0 0 0 0 0
38.0 0 0 0 0 0 0 0 0 0 0
37.5 0 0 0 0 0 0 0 0 0 0
37.0 0 0 0 0 0 0 0 0 0 0
36.5 0 0 0 0 0 0 0 0 0 0
36.0 0 0 0 0 0 0 0 0 0 0
35.5 0 0 0 0 0 0 0 0 0 0
35.0 0 0 0 0 0 0 0 0 0 0
34.5 0 0 0 0 0 0 0 0 0 0
34.0 0 0 0 0 0 0 0 0 0 0
33.5 0 0 0 0 0 0 0 0 0 0
33.0 0 0 0 0 0 0 0 0 0 0
32.5 0 0 0 0 0 0 0 0 0 0
32.0 0 0 0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 0 0 0 0 0
31.0 0 0 0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 0 0 0 0 0
30.0 0 0 0 0 0 0 0 0 0 0
29.5 0 0 0 0 0 0 0 0 0 0
29.0 0 0 0 0 0 0 0 0 0 0
28.5 0 0 0 0 0 0 0 0 0 0
28.0 0 0 0 0 0 0 0 0 0 0
27.5 0 0 0 0 0 0 0 0 0 0
27.0 0 0 0 0 0 0 0 0 0 0
26.5 0 0 0 0 0 0 0 0 0 0
26.0 0 0 0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 0 0 0 0
25.0 0 0 0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0 0 0 0
24.0 0 0 0 0 0 0 0 0 0 0
23.5 0 0 0 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 0 0 0 0
22.5 0 0 0 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 0 0 0 0
21.5 0 0 0 0 0 0 0 0 0 0
21.0 0 0 0 0 0 0 0 0 0 0
20.5 0 0 0 0 0 0 0 0 0 0
20.0 0 0 0 0 0 0 0 0 0 0
19.5 0 0 0 0 0 0 0 0 0 0
19.0 0 0 0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0 0 0 0
18.0 0 0 0 0 0 0 0 0 0 0
17.5 0 0 0 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0 0 0 0
16.5 0 0 0 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0 0 0 0
15.5 0 0 0 0 0 0 0 0 0 0
15.0 0 0 0 0 0 0 0 0 0 0
14.5 0 0 0 0 0 0 0 0 0 0
14.0 0 0 0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0
12.0 0 0 0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0 0 0 0
6.0 0 0 0 0 0 0 0 0 0 0
5.5 0 0 0 0 0 0 0 0 0 0
5.0 0 0 0 0 0 0 0 0 0 0
4.5 0 0 0 0 0 0 0 0 0 0
4.0 0 0 0 0 0 0 0 0 0 0
3.5 0 0 0 0 0 0 0 0 0 0
3.0 0 0 0 0 0 0 0 0 0 0
2.5 0 0 0 0 0 0 0 0 0 0
2.0 0 0 0 0 0 0 0 0 0 0
1.5 0 0 0 0 0 0 0 0 0 0
1.0 0 0 0 0 0 0 0 0 0 0
0.5 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
American Mathematics Competitions
2003 AMC 12 B Results for Utah
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 0.09 9.73* 0.18 0.00 0.00 0.00
2 0.00 0.18 1.35 8.11* 0.09 0.27 0.00
3 9.01* 0.09 0.36 0.09 0.27 0.18 0.00
4 0.54 0.18 5.50* 1.08 0.99 1.71 0.00
5 0.36 1.26 0.18 7.21* 0.36 0.63 0.00
6 0.09 3.24* 0.27 0.36 0.09 5.95 0.00
7 0.18 0.27 0.45 1.44* 5.05 2.61 0.00
8 2.52 0.90 0.36 1.17 2.52* 2.52 0.00
9 0.00 0.18 1.62 5.59* 0.18 2.43 0.00
10 0.36 2.97* 0.72 0.36 1.80 3.78 0.00
11 1.17 2.79 2.25* 0.63 1.08 2.07 0.00
12 0.18 1.17 0.27 1.71* 2.07 4.59 0.00
13 0.45 1.44* 0.63 0.18 0.00 7.30 0.00
14 0.18 0.18 0.45 2.61* 1.35 5.23 0.00
15 0.18 0.00 0.99 1.62* 0.27 6.94 0.00
16 0.09 0.36 0.27 0.18 1.17* 7.93 0.00
17 0.00 0.00 0.45 2.34* 1.89 5.32 0.00
18 0.09 0.00* 0.00 0.00 0.00 9.91 0.00
19 0.90 1.26 0.09 0.18 0.81* 6.76 0.00
20 0.54 2.61* 0.18 0.63 0.00 6.04 0.00
21 0.63 0.18 0.36 0.81* 0.72 7.30 0.00
22 0.18 0.27 0.00* 0.09 0.45 9.01 0.00
23 0.00* 0.27 0.27 0.09 0.18 9.19 0.00
24 0.27 0.36 0.27* 0.09 0.18 8.83 0.00
25 0.27 0.27 0.18 0.63* 0.45 8.20 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column