American Mathematics Competitions
2003 AMC 10 A Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 626
Number of unofficial participants: 9
Average score of participants: 67.0
Average score for female students is: 67.3 ( 307 Students)
Average score for male students is: 67.5 ( 285 Students)
Average score for unspecified gender is 59.4 ( 34 Students)
Average score for grade 10 is: 67.5 ( 257 Students)
Average score for grade 9 is: 66.9 ( 332 Students)
Average score for grade 8 and below is: 66.2 ( 24 Students)
Average score with unknown grade: 60.8 ( 13 Students)
AIME qualifying score = 119.0 or better
Number of AIME qualifers 0
Number of schools returning results 18
Average school winning score 94.14
American Mathematics Competitions
2003 AMC 12 A Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 921
Number of unofficial participants: 19
Average score of participants: 72.4
Average score for female students is: 68.3 ( 416 Students)
Average score for male students is: 75.7 ( 450 Students)
Average score for unspecified gender is 75.9 ( 55 Students)
Average score for grade 12 is: 72.8 ( 373 Students)
Average score for grade 11 is: 72.2 ( 407 Students)
Average score for grade 10 is: 71.8 ( 117 Students)
Average score for grade 9 is: 73.2 ( 16 Students)
Average score for grade 8 and below is: 80.0 ( 1 Student)
Average score with unknown grade: 68.1 ( 7 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 31
Number of schools returning results 24
Average school winning score 100.33
Average school team score 282.92
American Mathematics Competitions
2003 AMC 10 B Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 314
Number of unofficial participants: 0
Average score of participants: 73.4
Average score for female students is: 71.5 ( 157 Students)
Average score for male students is: 75.5 ( 153 Students)
Average score for unspecified gender is 64.8 ( 4 Students)
Average score for grade 10 is: 77.8 ( 184 Students)
Average score for grade 9 is: 67.1 ( 129 Students)
Average score for grade 8 and below is: 71.5 ( 1 Student)
AIME qualifying score = 121.0 or better
Number of AIME qualifers 0
Number of schools returning results 10
Average school winning score 96.25
American Mathematics Competitions
2003 AMC 12 B Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 318
Number of unofficial participants: 9
Average score of participants: 72.3
Average score for female students is: 69.6 ( 132 Students)
Average score for male students is: 74.4 ( 180 Students)
Average score for unspecified gender is 66.2 ( 6 Students)
Average score for grade 12 is: 75.7 ( 151 Students)
Average score for grade 11 is: 68.7 ( 157 Students)
Average score for grade 10 is: 84.1 ( 5 Students)
Average score for grade 9 is: 92.5 ( 2 Students)
Average score with unknown grade: 52.5 ( 3 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 10
Number of schools returning results 11
Average school winning score 99.68
Average school team score 272.95
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 0 0
132.0 0 0 0 0
131.5 0 0 0 0
131.0 0 0 0 0
130.5 0 0 0 0
130.0 0 1 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 0 0 0 0
125.5 0 0 0 0
125.0 0 0 0 0
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 1 0 0 0
121.0 0 0 0 0
120.5 0 0 0 0
120.0 0 0 0 0
119.5 0 0 0 0
119.0 0 0 0 0
118.5 0 0 0 0
118.0 0 0 0 1
117.5 0 0 0 0
117.0 1 0 0 0
116.5 0 0 0 0
116.0 0 0 0 0
115.5 0 0 0 0
115.0 0 0 0 0
114.5 1 0 0 0
114.0 0 0 1 0
113.5 1 0 1 1
113.0 0 0 0 0
112.5 2 0 0 0
112.0 0 0 0 0
111.5 1 0 0 0
111.0 0 0 0 3
110.5 0 0 0 0
110.0 1 0 0 2
109.5 0 0 0 0
109.0 3 0 1 2
108.5 0 0 0 1
108.0 0 0 0 0
107.5 1 0 0 1
107.0 0 0 0 1
106.5 2 3 0 0
106.0 0 0 0 0
105.5 2 0 0 0
105.0 0 0 0 1
104.5 1 0 0 0
104.0 3 0 0 2
103.5 1 0 0 0
103.0 2 2 0 1
102.5 0 0 1 1
102.0 3 1 1 1
101.5 0 0 1 0
101.0 2 2 0 0
100.5 2 1 1 0
100.0 1 0 0 0
99.5 3 1 3 1
99.0 2 0 0 1
98.5 4 1 1 2
98.0 3 0 1 1
97.5 2 0 0 0
97.0 3 2 1 0
96.5 0 0 0 1
96.0 5 2 4 1
95.5 1 0 0 2
95.0 3 0 2 3
94.5 1 1 1 2
94.0 3 0 1 2
93.5 10 1 1 0
93.0 4 0 1 1
92.5 8 2 0 4
92.0 0 1 1 4
91.5 4 0 1 0
91.0 10 3 5 3
90.5 2 0 0 4
90.0 8 3 4 4
89.5 3 0 2 1
89.0 15 8 4 1
88.5 6 3 1 3
88.0 9 2 3 2
87.5 13 0 3 2
87.0 3 0 2 1
86.5 15 2 4 1
86.0 4 1 1 3
85.5 7 4 9 3
85.0 6 2 3 2
84.5 5 5 5 4
84.0 8 4 5 2
83.5 2 1 2 1
83.0 19 9 5 3
82.5 5 1 1 4
82.0 15 7 7 5
81.5 8 1 4 4
81.0 5 1 5 3
80.5 11 5 8 4
80.0 7 1 3 1
79.5 13 7 6 2
79.0 5 3 5 5
78.5 9 8 5 6
78.0 16 7 10 4
77.5 12 4 5 7
77.0 21 6 10 3
76.5 3 1 6 4
76.0 13 3 9 2
75.5 4 4 10 2
75.0 14 5 3 6
74.5 12 4 4 7
74.0 10 3 3 4
73.5 19 7 12 5
73.0 8 6 4 3
72.5 19 7 7 7
72.0 17 3 12 2
71.5 13 2 11 6
71.0 19 3 3 1
70.5 11 3 8 6
70.0 16 4 23 5
69.5 5 8 9 1
69.0 21 6 11 3
68.5 15 2 4 2
68.0 13 4 9 5
67.5 21 16 10 4
67.0 2 0 12 5
66.5 12 8 11 3
66.0 17 4 20 3
65.5 6 2 6 6
65.0 15 2 4 2
64.5 9 3 5 5
64.0 13 6 14 2
63.5 8 6 8 1
63.0 10 8 8 7
62.5 12 6 9 7
62.0 10 4 7 2
61.5 10 2 8 1
61.0 10 3 4 1
60.5 7 4 11 3
60.0 7 3 11 2
59.5 10 0 4 4
59.0 8 4 8 2
58.5 5 3 4 0
58.0 7 4 5 2
57.5 2 1 5 0
57.0 4 1 4 1
56.5 14 2 3 0
56.0 8 1 3 1
55.5 7 3 6 2
55.0 4 0 7 3
54.5 6 1 5 3
54.0 8 2 15 1
53.5 5 2 5 3
53.0 5 2 9 3
52.5 5 1 4 0
52.0 3 0 7 4
51.5 1 2 5 2
51.0 4 0 3 0
50.5 8 3 2 1
50.0 2 0 6 2
49.5 2 0 6 1
49.0 2 2 3 0
48.5 3 1 3 0
48.0 6 2 17 2
47.5 1 0 2 0
47.0 3 1 2 0
46.5 4 0 0 1
46.0 0 0 0 0
45.5 3 1 0 2
45.0 1 1 0 0
44.5 2 0 2 0
44.0 3 0 1 0
43.5 0 0 1 1
43.0 3 0 1 0
42.5 1 1 0 1
42.0 2 1 7 3
41.5 1 2 0 1
41.0 0 0 0 0
40.5 3 0 0 2
40.0 1 0 0 1
39.5 2 0 1 0
39.0 1 0 0 0
38.5 1 0 2 0
38.0 0 0 0 1
37.5 1 0 0 0
37.0 0 0 0 0
36.5 0 0 2 0
36.0 1 0 5 4
35.5 1 0 1 0
35.0 1 0 2 0
34.5 0 0 1 0
34.0 0 0 0 0
33.5 0 0 0 0
33.0 0 0 0 1
32.5 0 0 0 0
32.0 0 0 0 0
31.5 0 1 1 0
31.0 0 0 0 0
30.5 0 0 0 0
30.0 2 2 3 1
29.5 0 0 0 0
29.0 0 0 0 1
28.5 0 0 0 0
28.0 0 0 0 0
27.5 0 0 0 0
27.0 0 0 0 0
26.5 0 0 0 0
26.0 1 0 0 0
25.5 0 0 0 1
25.0 0 0 0 0
24.5 0 0 1 0
24.0 2 0 1 0
23.5 0 0 0 0
23.0 0 0 1 0
22.5 0 0 0 0
22.0 0 0 0 0
21.5 0 0 0 0
21.0 0 0 0 0
20.5 1 0 1 0
20.0 0 0 0 0
19.5 0 0 0 0
19.0 0 0 0 0
18.5 0 0 0 0
18.0 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 0 0
14.0 0 0 0 0
13.5 0 0 0 0
13.0 0 0 0 0
12.5 0 0 0 0
12.0 0 0 1 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 Montana
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 2 1
149.0 0 0 124.0 0 0 99.0 0 0
148.5 0 0 123.5 0 0 98.5 0 1
148.0 0 0 123.0 0 0 98.0 1 0
147.5 0 0 122.5 0 0 97.5 0 0
147.0 0 0 122.0 0 0 97.0 0 1
146.5 0 0 121.5 0 0 96.5 0 0
146.0 0 0 121.0 0 0 96.0 2 2
145.5 0 0 120.5 0 0 95.5 0 0
145.0 0 0 120.0 0 0 95.0 1 1
144.5 0 0 119.5 0 0 94.5 0 1
144.0 0 0 119.0 0 0 94.0 1 0
143.5 0 0 118.5 0 0 93.5 0 1
143.0 0 0 118.0 0 0 93.0 1 0
142.5 0 0 117.5 0 0 92.5 0 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 4 1
140.5 0 0 115.5 0 0 90.5 0 0
140.0 0 0 115.0 0 0 90.0 2 2
139.5 0 0 114.5 0 0 89.5 1 1
139.0 0 0 114.0 1 0 89.0 1 3
138.5 0 0 113.5 1 0 88.5 0 1
138.0 0 0 113.0 0 0 88.0 1 2
137.5 0 0 112.5 0 0 87.5 1 1
137.0 0 0 112.0 0 0 87.0 0 2
136.5 0 0 111.5 0 0 86.5 2 1
136.0 0 0 111.0 0 0 86.0 0 1
135.5 0 0 110.5 0 0 85.5 4 4
135.0 0 0 110.0 0 0 85.0 0 3
134.5 0 0 109.5 0 0 84.5 2 3
134.0 0 0 109.0 1 0 84.0 3 2
133.5 0 0 108.5 0 0 83.5 2 0
133.0 0 0 108.0 0 0 83.0 3 2
132.5 0 0 107.5 0 0 82.5 1 0
132.0 0 0 107.0 0 0 82.0 2 4
131.5 0 0 106.5 0 0 81.5 2 2
131.0 0 0 106.0 0 0 81.0 2 3
130.5 0 0 105.5 0 0 80.5 3 5
130.0 0 0 105.0 0 0 80.0 1 2
129.5 0 0 104.5 0 0 79.5 1 5
129.0 0 0 104.0 0 0 79.0 2 3
128.5 0 0 103.5 0 0 78.5 4 1
128.0 0 0 103.0 0 0 78.0 6 3
127.5 0 0 102.5 1 0 77.5 0 3
127.0 0 0 102.0 0 1 77.0 5 5
126.5 0 0 101.5 1 0 76.5 3 3
126.0 0 0 101.0 0 0 76.0 4 5
125.5 0 0 100.5 0 1 75.5 6 3
American Mathematics Competitions
2003 AMC 10 A Results for Montana
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 2 50.0 2 4 25.0 0 0
74.5 1 3 49.5 4 1 24.5 0 0
74.0 1 2 49.0 1 2 24.0 0 1
73.5 5 7 48.5 2 1 23.5 0 0
73.0 2 2 48.0 10 4 23.0 1 0
72.5 2 5 47.5 1 1 22.5 0 0
72.0 7 5 47.0 0 1 22.0 0 0
71.5 6 5 46.5 0 0 21.5 0 0
71.0 3 0 46.0 0 0 21.0 0 0
70.5 4 4 45.5 0 0 20.5 1 0
70.0 7 15 45.0 0 0 20.0 0 0
69.5 4 4 44.5 1 1 19.5 0 0
69.0 5 5 44.0 0 1 19.0 0 0
68.5 2 2 43.5 0 0 18.5 0 0
68.0 3 6 43.0 0 1 18.0 0 0
67.5 4 6 42.5 0 0 17.5 0 0
67.0 4 8 42.0 2 4 17.0 0 0
66.5 3 8 41.5 0 0 16.5 0 0
66.0 9 8 41.0 0 0 16.0 0 0
65.5 3 3 40.5 0 0 15.5 0 0
65.0 3 1 40.0 0 0 15.0 0 0
64.5 2 3 39.5 1 0 14.5 0 0
64.0 5 8 39.0 0 0 14.0 0 0
63.5 7 1 38.5 1 1 13.5 0 0
63.0 6 2 38.0 0 0 13.0 0 0
62.5 6 3 37.5 0 0 12.5 0 0
62.0 4 2 37.0 0 0 12.0 0 1
61.5 3 5 36.5 1 1 11.5 0 0
61.0 3 1 36.0 2 2 11.0 0 0
60.5 3 7 35.5 1 0 10.5 0 0
60.0 6 5 35.0 1 1 10.0 0 0
59.5 2 2 34.5 0 1 9.5 0 0
59.0 2 5 34.0 0 0 9.0 0 0
58.5 2 2 33.5 0 0 8.5 0 0
58.0 3 2 33.0 0 0 8.0 0 0
57.5 2 3 32.5 0 0 7.5 0 0
57.0 3 1 32.0 0 0 7.0 0 0
56.5 2 0 31.5 0 0 6.5 0 0
56.0 1 2 31.0 0 0 6.0 0 0
55.5 2 4 30.5 0 0 5.5 0 0
55.0 4 3 30.0 0 2 5.0 0 0
54.5 2 3 29.5 0 0 4.5 0 0
54.0 8 5 29.0 0 0 4.0 0 0
53.5 1 4 28.5 0 0 3.5 0 0
53.0 2 5 28.0 0 0 3.0 0 0
52.5 2 2 27.5 0 0 2.5 0 0
52.0 3 4 27.0 0 0 2.0 0 0
51.5 2 3 26.5 0 0 1.5 0 0
51.0 2 1 26.0 0 0 1.0 0 0
50.5 1 1 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for Montana
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 unknown
---------------------------
150.0 0 0 0 0 0 0 0
149.5 0 0 0 0 0 0 0
149.0 0 0 0 0 0 0 0
148.5 0 0 0 0 0 0 0
148.0 0 0 0 0 0 0 0
147.5 0 0 0 0 0 0 0
147.0 0 0 0 0 0 0 0
146.5 0 0 0 0 0 0 0
146.0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0
144.0 0 0 0 0 0 0 0
143.5 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0
140.5 0 0 0 0 0 0 0
140.0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 0 0
139.0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0
138.0 0 0 0 0 0 0 0
137.5 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 0
136.5 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 0
135.5 0 0 0 0 0 0 0
135.0 0 0 0 0 0 0 0
134.5 0 0 0 0 0 0 0
134.0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 0 0
133.0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0
132.0 0 0 0 0 0 0 0
131.5 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 0
130.5 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0
129.5 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 0 0
128.0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 0
127.0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 0
126.0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 0 0
125.0 0 0 0 0 0 0 0
124.5 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 0
123.5 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0
122.5 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0
121.5 0 0 0 0 0 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 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 1 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 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 1 0 0 0
108.5 0 0 0 0 0 0 0
108.0 0 0 0 0 0 0 0
107.5 0 0 0 0 0 0 0
107.0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 0 0
106.0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 0 0
105.0 0 0 0 0 0 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 0 0
102.5 0 0 0 0 1 0 0
102.0 0 0 0 0 0 1 0
101.5 0 0 0 0 0 1 0
101.0 0 0 0 0 0 0 0
100.5 0 0 0 0 0 1 0
100.0 0 0 0 0 0 0 0
99.5 0 0 0 0 2 0 1
99.0 0 0 0 0 0 0 0
98.5 0 0 0 0 1 0 0
98.0 0 0 0 0 0 1 0
97.5 0 0 0 0 0 0 0
97.0 0 0 0 0 0 1 0
96.5 0 0 0 0 0 0 0
96.0 0 0 0 0 4 0 0
95.5 0 0 0 0 0 0 0
95.0 0 0 0 0 1 1 0
94.5 0 0 0 0 1 0 0
94.0 0 0 0 0 1 0 0
93.5 0 0 0 0 1 0 0
93.0 0 0 0 0 0 1 0
92.5 0 0 0 0 0 0 0
92.0 0 0 0 1 0 0 0
91.5 0 0 0 0 0 1 0
91.0 0 0 0 1 1 3 0
90.5 0 0 0 0 0 0 0
90.0 0 0 0 0 2 2 0
89.5 0 0 0 0 1 1 0
89.0 0 0 0 0 3 1 0
88.5 0 0 0 0 0 1 0
88.0 0 0 0 0 1 2 0
87.5 0 0 0 0 1 2 0
87.0 0 0 0 0 0 2 0
86.5 0 0 0 0 2 2 0
86.0 0 0 0 0 1 0 0
85.5 0 0 0 1 6 2 0
85.0 0 0 0 0 1 2 0
84.5 0 0 0 1 4 0 0
84.0 0 0 0 1 3 1 0
83.5 0 0 0 0 2 0 0
83.0 0 0 0 0 4 1 0
82.5 0 0 0 0 0 1 0
82.0 0 0 0 0 6 1 0
81.5 0 0 0 0 3 1 0
81.0 0 0 0 0 0 5 0
80.5 0 0 0 0 4 4 0
80.0 0 0 0 0 0 3 0
79.5 0 0 0 0 2 4 0
79.0 0 0 0 0 0 5 0
78.5 0 0 0 0 3 2 0
78.0 0 0 0 0 6 4 0
77.5 0 0 0 0 5 0 0
77.0 0 0 0 1 5 4 0
76.5 0 0 0 0 3 3 0
76.0 0 0 0 0 5 4 0
75.5 0 0 0 0 5 4 1
75.0 0 0 0 0 2 1 0
74.5 0 0 0 0 2 2 0
74.0 0 0 0 0 1 2 0
73.5 0 0 0 0 6 6 0
73.0 0 0 0 1 1 2 0
72.5 0 0 0 0 5 2 0
72.0 0 0 0 0 6 6 0
71.5 0 0 0 0 6 5 0
71.0 0 0 0 0 3 0 0
70.5 0 0 0 0 4 3 1
70.0 0 0 1 1 12 9 0
69.5 0 0 0 0 4 5 0
69.0 0 0 0 0 5 6 0
68.5 0 0 0 0 2 2 0
68.0 0 0 0 0 4 5 0
67.5 0 0 0 0 8 2 0
67.0 0 0 0 0 3 9 0
66.5 0 0 0 0 6 5 0
66.0 0 0 0 0 16 3 1
65.5 0 0 0 0 4 1 1
65.0 0 0 0 0 1 3 0
64.5 0 0 0 0 3 2 0
64.0 0 0 0 1 5 7 1
63.5 0 0 0 2 5 1 0
63.0 0 0 0 0 6 2 0
62.5 0 0 0 1 3 4 1
62.0 0 0 0 0 2 5 0
61.5 0 0 0 0 3 5 0
61.0 0 0 0 0 3 1 0
60.5 0 0 0 1 7 3 0
60.0 0 0 0 0 7 4 0
59.5 0 0 0 0 2 2 0
59.0 0 0 0 0 2 5 1
58.5 0 0 0 0 2 2 0
58.0 0 0 0 0 1 4 0
57.5 0 0 0 0 2 3 0
57.0 0 0 0 0 2 2 0
56.5 0 0 0 0 3 0 0
56.0 0 0 0 0 0 3 0
55.5 0 0 0 0 4 2 0
55.0 0 0 0 0 4 3 0
54.5 0 0 0 0 2 3 0
54.0 0 0 1 1 7 5 1
53.5 0 0 0 1 4 0 0
53.0 0 0 0 0 5 4 0
52.5 0 0 0 0 1 3 0
52.0 0 0 0 0 4 3 0
51.5 0 0 1 0 4 0 0
51.0 0 0 0 0 1 2 0
50.5 0 0 0 1 0 1 0
50.0 0 0 2 0 2 2 0
49.5 0 0 0 0 6 0 0
49.0 0 0 0 0 2 1 0
48.5 0 0 0 0 1 2 0
48.0 0 0 0 0 11 4 2
47.5 0 0 0 0 0 1 1
47.0 0 0 0 0 2 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 2 0 0
44.0 0 0 0 0 1 0 0
43.5 0 0 0 0 0 1 0
43.0 0 0 0 0 0 1 0
42.5 0 0 0 0 0 0 0
42.0 0 0 0 0 6 1 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 1 0 0 0
39.0 0 0 0 0 0 0 0
38.5 0 0 0 0 2 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 1 0 0 1 0
36.0 0 0 0 0 3 2 0
35.5 0 0 0 0 0 1 0
35.0 0 0 0 0 1 1 0
34.5 0 0 0 0 1 0 0
34.0 0 0 0 0 0 0 0
33.5 0 0 0 0 0 0 0
33.0 0 0 0 0 0 0 0
32.5 0 0 0 0 0 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 0 1
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 1 0
24.0 0 0 0 0 0 1 0
23.5 0 0 0 0 0 0 0
23.0 0 0 0 0 0 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 1 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 1 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 Montana
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 0.50 3.15 0.70 2.60* 0.62 2.43 0.00
2 0.00 8.43* 0.18 1.07 0.03 0.29 0.00
3 0.62 2.16 0.64 2.86* 0.54 3.18 0.00
4 4.17* 0.24 0.27 3.31 0.08 1.93 0.00
5 1.34 3.32* 0.29 0.16 0.21 4.68 0.00
6 1.77 1.10 1.20* 0.77 1.39 3.77 0.00
7 1.44 1.52* 1.18 1.42 0.40 4.04 0.00
8 1.81 0.59 0.27 0.26 5.77* 1.31 0.00
9 0.96* 0.46 2.28 1.12 0.13 5.05 0.00
10 0.80 0.46 0.72 1.17 3.48* 3.37 0.00
11 0.29 0.08 0.24 0.26 5.46* 3.67 0.00
12 1.90* 3.15 0.26 1.21 0.89 2.59 0.00
13 4.63* 0.24 0.54 0.13 0.10 4.36 0.00
14 1.12* 1.02 0.34 0.85 0.75 5.93 0.00
15 0.65 1.81 3.72* 0.61 0.64 2.56 0.02
16 0.53 1.02 1.25* 0.27 0.85 6.09 0.00
17 0.51 0.69* 0.27 0.14 0.56 7.83 0.00
18 0.53 0.56* 0.30 0.73 0.88 7.00 0.00
19 0.43 0.46 0.38* 0.21 0.16 8.35 0.00
20 0.53 0.37 0.43 0.30 0.30* 8.07 0.00
21 0.54 0.59 1.28 1.66* 2.64 3.29 0.00
22 0.93 2.28* 0.42 0.26 0.10 6.02 0.00
23 0.26 0.32 0.77* 0.46 0.91 7.28 0.00
24 0.24 0.43 0.78 0.59 3.98* 3.98 0.00
25 0.22 0.50* 0.53 0.27 0.08 8.40 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 Montana
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 3 0
149.0 0 0 124.0 0 0 99.0 2 0
148.5 0 0 123.5 0 0 98.5 3 1
148.0 0 0 123.0 0 0 98.0 3 0
147.5 0 0 122.5 0 0 97.5 1 1
147.0 0 0 122.0 0 0 97.0 2 0
146.5 0 0 121.5 1 0 96.5 0 0
146.0 0 0 121.0 0 0 96.0 4 1
145.5 0 0 120.5 0 0 95.5 1 0
145.0 0 0 120.0 0 0 95.0 2 0
144.5 0 0 119.5 0 0 94.5 0 1
144.0 0 0 119.0 0 0 94.0 2 0
143.5 0 0 118.5 0 0 93.5 6 3
143.0 0 0 118.0 0 0 93.0 4 0
142.5 0 0 117.5 0 0 92.5 3 4
142.0 0 0 117.0 1 0 92.0 0 0
141.5 0 0 116.5 0 0 91.5 4 0
141.0 0 0 116.0 0 0 91.0 8 1
140.5 0 0 115.5 0 0 90.5 1 1
140.0 0 0 115.0 0 0 90.0 5 3
139.5 0 0 114.5 1 0 89.5 3 0
139.0 0 0 114.0 0 0 89.0 8 6
138.5 0 0 113.5 1 0 88.5 6 0
138.0 0 0 113.0 0 0 88.0 5 3
137.5 0 0 112.5 1 1 87.5 8 5
137.0 0 0 112.0 0 0 87.0 1 2
136.5 0 0 111.5 1 0 86.5 7 8
136.0 0 0 111.0 0 0 86.0 3 1
135.5 0 0 110.5 0 0 85.5 1 5
135.0 0 0 110.0 1 0 85.0 3 1
134.5 0 0 109.5 0 0 84.5 3 2
134.0 0 0 109.0 2 1 84.0 5 3
133.5 0 0 108.5 0 0 83.5 0 2
133.0 0 0 108.0 0 0 83.0 9 9
132.5 0 0 107.5 1 0 82.5 3 1
132.0 0 0 107.0 0 0 82.0 10 4
131.5 0 0 106.5 2 0 81.5 4 3
131.0 0 0 106.0 0 0 81.0 2 3
130.5 0 0 105.5 1 0 80.5 8 3
130.0 0 0 105.0 0 0 80.0 5 2
129.5 0 0 104.5 1 0 79.5 4 8
129.0 0 0 104.0 3 0 79.0 2 3
128.5 0 0 103.5 1 0 78.5 4 4
128.0 0 0 103.0 1 0 78.0 13 3
127.5 0 0 102.5 0 0 77.5 6 5
127.0 0 0 102.0 3 0 77.0 13 7
126.5 0 0 101.5 0 0 76.5 0 2
126.0 0 0 101.0 0 0 76.0 7 6
125.5 0 0 100.5 2 0 75.5 2 1
American Mathematics Competitions
2003 AMC 12 A Results for Montana
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 10 4 50.0 1 1 25.0 0 0
74.5 5 6 49.5 2 0 24.5 0 0
74.0 7 2 49.0 1 1 24.0 1 1
73.5 10 7 48.5 2 1 23.5 0 0
73.0 5 3 48.0 2 4 23.0 0 0
72.5 9 7 47.5 1 0 22.5 0 0
72.0 9 8 47.0 2 1 22.0 0 0
71.5 4 6 46.5 1 2 21.5 0 0
71.0 8 10 46.0 0 0 21.0 0 0
70.5 6 5 45.5 1 2 20.5 0 1
70.0 4 11 45.0 1 0 20.0 0 0
69.5 2 3 44.5 1 1 19.5 0 0
69.0 7 13 44.0 2 1 19.0 0 0
68.5 4 11 43.5 0 0 18.5 0 0
68.0 6 6 43.0 2 1 18.0 0 0
67.5 9 11 42.5 0 1 17.5 0 0
67.0 1 1 42.0 1 1 17.0 0 0
66.5 6 5 41.5 1 0 16.5 0 0
66.0 8 8 41.0 0 0 16.0 0 0
65.5 1 5 40.5 1 2 15.5 0 0
65.0 5 7 40.0 0 1 15.0 0 0
64.5 4 4 39.5 0 2 14.5 0 0
64.0 3 8 39.0 0 1 14.0 0 0
63.5 3 5 38.5 1 0 13.5 0 0
63.0 7 3 38.0 0 0 13.0 0 0
62.5 7 5 37.5 0 1 12.5 0 0
62.0 3 7 37.0 0 0 12.0 0 0
61.5 4 6 36.5 0 0 11.5 0 0
61.0 6 3 36.0 0 1 11.0 0 0
60.5 3 4 35.5 0 1 10.5 0 0
60.0 3 4 35.0 1 0 10.0 0 0
59.5 3 7 34.5 0 0 9.5 0 0
59.0 1 7 34.0 0 0 9.0 0 0
58.5 3 2 33.5 0 0 8.5 0 0
58.0 1 6 33.0 0 0 8.0 0 0
57.5 0 2 32.5 0 0 7.5 0 0
57.0 1 3 32.0 0 0 7.0 0 0
56.5 4 9 31.5 0 0 6.5 0 0
56.0 2 5 31.0 0 0 6.0 0 0
55.5 1 5 30.5 0 0 5.5 0 0
55.0 0 4 30.0 1 1 5.0 0 0
54.5 3 3 29.5 0 0 4.5 0 0
54.0 4 4 29.0 0 0 4.0 0 0
53.5 1 3 28.5 0 0 3.5 0 0
53.0 1 4 28.0 0 0 3.0 0 0
52.5 2 3 27.5 0 0 2.5 0 0
52.0 0 2 27.0 0 0 2.0 0 0
51.5 0 1 26.5 0 0 1.5 0 0
51.0 2 2 26.0 1 0 1.0 0 0
50.5 1 7 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for Montana
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 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 1 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 0 0 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 0 0 0 0 0
119.0 0 0 0 0 0 0 0 0 0 0
118.5 0 0 0 0 0 0 0 0 0 0
118.0 0 0 0 0 0 0 0 0 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 1 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 1 0 0 0
114.0 0 0 0 0 0 0 0 0 0 0
113.5 0 0 0 0 0 0 1 0 0 0
113.0 0 0 0 0 0 0 0 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 0 1 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 1 0 0 0
109.5 0 0 0 0 0 0 0 0 0 0
109.0 0 0 0 0 0 1 0 2 0 0
108.5 0 0 0 0 0 0 0 0 0 0
108.0 0 0 0 0 0 0 0 0 0 0
107.5 0 0 0 0 0 0 1 0 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 0 0 2 0 0
106.0 0 0 0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 1 1 0 0 0
105.0 0 0 0 0 0 0 0 0 0 0
104.5 0 0 0 0 0 0 1 0 0 0
104.0 0 0 0 0 0 0 0 3 0 0
103.5 0 0 0 0 0 0 1 0 0 0
103.0 0 0 0 0 0 0 2 0 0 0
102.5 0 0 0 0 0 0 0 0 0 0
102.0 0 0 0 0 0 1 0 2 0 0
101.5 0 0 0 0 0 0 0 0 0 0
101.0 0 0 0 0 1 0 0 1 0 0
100.5 0 0 0 0 0 0 2 0 0 0
100.0 0 0 0 0 0 0 1 0 0 0
99.5 0 0 0 0 0 1 2 0 0 0
99.0 0 0 0 0 0 0 2 0 0 0
98.5 0 0 0 0 0 0 1 3 0 0
98.0 0 0 0 0 0 0 1 2 0 0
97.5 0 0 0 0 0 0 0 2 0 0
97.0 0 0 0 0 0 0 1 2 0 0
96.5 0 0 0 0 0 0 0 0 0 0
96.0 0 0 0 0 0 1 1 3 0 0
95.5 0 0 0 0 0 0 1 0 0 0
95.0 0 0 0 0 0 0 2 1 0 0
94.5 0 0 0 0 0 0 1 0 0 0
94.0 0 0 0 0 0 2 1 0 0 0
93.5 0 0 0 0 0 1 5 4 0 0
93.0 0 0 0 0 0 0 3 1 0 0
92.5 0 0 0 0 0 1 3 4 0 0
92.0 0 0 0 0 0 0 0 0 0 0
91.5 0 0 0 0 0 1 1 2 0 0
91.0 0 0 0 0 1 1 5 3 0 0
90.5 0 0 0 0 0 0 1 1 0 0
90.0 0 0 0 0 0 1 1 6 0 0
89.5 0 0 0 0 1 0 2 0 0 0
89.0 0 0 0 0 0 1 7 7 0 0
88.5 0 0 0 0 1 0 2 3 0 0
88.0 0 0 0 0 0 1 7 1 0 0
87.5 0 0 0 0 1 2 5 5 0 0
87.0 0 0 0 0 0 0 3 0 0 0
86.5 0 0 0 0 0 1 6 8 0 0
86.0 0 0 0 0 0 0 1 3 0 0
85.5 0 0 0 0 0 3 0 3 0 1
85.0 0 0 0 0 0 2 1 3 0 0
84.5 0 0 0 0 1 1 0 3 0 0
84.0 0 0 0 0 0 2 4 2 0 0
83.5 0 0 0 0 0 0 0 2 0 0
83.0 0 0 0 0 1 2 7 9 0 0
82.5 0 0 0 0 0 0 2 3 0 0
82.0 0 0 0 0 0 2 6 7 0 0
81.5 0 0 0 0 0 1 5 2 0 0
81.0 0 0 0 0 0 1 3 1 0 0
80.5 0 0 0 0 0 2 5 4 0 0
80.0 0 0 0 1 0 0 3 3 0 0
79.5 0 0 0 0 0 3 6 4 0 0
79.0 0 0 0 0 0 0 4 1 0 0
78.5 0 0 0 0 0 0 3 6 0 0
78.0 0 0 0 0 0 3 7 6 0 0
77.5 0 0 0 0 0 1 4 7 0 0
77.0 0 0 0 0 1 2 9 9 0 0
76.5 0 0 0 0 0 0 1 1 0 1
76.0 0 0 0 0 0 1 8 4 0 0
75.5 0 0 0 0 0 0 3 1 0 0
75.0 0 0 0 0 1 2 7 4 0 0
74.5 0 0 0 0 0 1 4 7 0 0
74.0 0 0 0 0 0 0 2 8 0 0
73.5 0 0 0 0 0 3 12 3 0 1
73.0 0 0 0 0 1 0 4 3 0 0
72.5 0 0 0 0 0 5 8 6 0 0
72.0 0 0 0 0 0 1 10 6 0 0
71.5 0 0 0 0 0 4 4 5 0 0
71.0 0 0 0 0 0 3 4 12 0 0
70.5 0 0 0 0 1 3 4 3 0 0
70.0 0 0 0 0 0 1 7 8 0 0
69.5 0 0 0 0 0 2 3 0 0 0
69.0 0 0 0 0 0 5 8 8 0 0
68.5 0 0 0 0 0 4 6 5 0 0
68.0 0 0 0 0 0 1 10 2 0 0
67.5 0 0 0 0 0 2 9 10 0 0
67.0 0 0 0 0 0 0 1 1 0 0
66.5 0 0 0 0 0 2 8 2 0 0
66.0 0 0 0 0 0 1 7 8 0 1
65.5 0 0 0 0 0 0 2 4 0 0
65.0 0 0 0 0 0 3 4 8 0 0
64.5 0 0 0 0 0 0 5 4 0 0
64.0 0 0 0 0 1 1 7 4 0 0
63.5 0 0 0 0 0 4 2 2 0 0
63.0 0 0 0 0 0 1 7 2 0 0
62.5 0 0 0 0 0 2 3 7 0 0
62.0 0 0 0 0 0 1 3 6 0 0
61.5 0 0 0 0 0 0 6 4 0 0
61.0 0 0 0 0 0 2 5 3 0 0
60.5 0 0 0 0 0 1 2 4 0 0
60.0 0 0 0 0 0 1 2 3 0 1
59.5 0 0 0 0 0 0 5 4 0 1
59.0 0 0 0 0 0 2 5 1 0 0
58.5 0 0 0 0 0 1 2 2 0 0
58.0 0 0 0 0 0 0 4 3 0 0
57.5 0 0 0 0 0 0 1 1 0 0
57.0 0 0 0 0 0 0 2 2 0 0
56.5 0 0 0 0 0 2 7 5 0 0
56.0 0 0 0 0 0 0 3 4 0 1
55.5 0 0 0 0 0 2 3 2 0 0
55.0 0 0 0 0 0 1 1 2 0 0
54.5 0 0 0 0 0 0 5 1 0 0
54.0 0 0 0 0 1 0 5 2 0 0
53.5 0 0 0 0 0 0 3 2 0 0
53.0 0 0 0 0 0 0 3 2 0 0
52.5 0 0 0 0 0 0 1 4 0 0
52.0 0 0 0 0 0 0 1 2 0 0
51.5 0 0 0 0 0 0 1 0 0 0
51.0 0 0 0 0 0 1 1 2 0 0
50.5 0 0 0 0 1 0 4 3 0 0
50.0 0 0 0 0 0 1 1 0 0 0
49.5 0 0 0 0 0 0 1 1 0 0
49.0 0 0 0 0 0 0 1 1 0 0
48.5 0 0 0 0 0 0 2 1 0 0
48.0 0 0 0 0 0 0 2 4 0 0
47.5 0 0 0 0 0 0 0 1 0 0
47.0 0 0 0 0 0 0 1 2 0 0
46.5 0 0 0 0 0 1 2 1 0 0
46.0 0 0 0 0 0 0 0 0 0 0
45.5 0 0 0 0 0 0 2 1 0 0
45.0 0 0 0 0 0 0 1 0 0 0
44.5 0 0 0 0 0 0 1 1 0 0
44.0 0 0 0 0 0 2 0 1 0 0
43.5 0 0 0 0 0 0 0 0 0 0
43.0 0 0 0 0 1 0 2 0 0 0
42.5 0 0 0 0 0 0 0 1 0 0
42.0 0 0 0 0 0 0 2 0 0 0
41.5 0 0 0 0 0 0 1 0 0 0
41.0 0 0 0 0 0 0 0 0 0 0
40.5 0 0 0 0 0 1 0 2 0 0
40.0 0 0 0 0 0 0 1 0 0 0
39.5 0 0 0 0 1 0 1 0 0 0
39.0 0 0 0 0 0 0 1 0 0 0
38.5 0 0 0 0 0 0 1 0 0 0
38.0 0 0 0 0 0 0 0 0 0 0
37.5 0 0 0 0 0 1 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 1 0 0
35.5 0 0 0 0 0 0 1 0 0 0
35.0 0 0 0 0 0 1 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 1 0 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 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 1 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 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 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 1 0 0
20.0 0 0 0 0 0 0 0 0 0 0
19.5 0 0 0 0 0 0 0 0 0 0
19.0 0 0 0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0 0 0 0
18.0 0 0 0 0 0 0 0 0 0 0
17.5 0 0 0 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0 0 0 0
16.5 0 0 0 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0 0 0 0
15.5 0 0 0 0 0 0 0 0 0 0
15.0 0 0 0 0 0 0 0 0 0 0
14.5 0 0 0 0 0 0 0 0 0 0
14.0 0 0 0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0
12.0 0 0 0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0 0 0 0
6.0 0 0 0 0 0 0 0 0 0 0
5.5 0 0 0 0 0 0 0 0 0 0
5.0 0 0 0 0 0 0 0 0 0 0
4.5 0 0 0 0 0 0 0 0 0 0
4.0 0 0 0 0 0 0 0 0 0 0
3.5 0 0 0 0 0 0 0 0 0 0
3.0 0 0 0 0 0 0 0 0 0 0
2.5 0 0 0 0 0 0 0 0 0 0
2.0 0 0 0 0 0 0 0 0 0 0
1.5 0 0 0 0 0 0 0 0 0 0
1.0 0 0 0 0 0 0 0 0 0 0
0.5 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for Montana
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 0.53 1.75 0.55 4.10* 0.43 2.62 0.01
2 0.04 9.13* 0.08 0.60 0.01 0.14 0.00
3 0.25 2.71 0.26 4.50* 0.26 2.02 0.00
4 5.08* 0.16 0.22 3.38 0.04 1.12 0.00
5 0.27 0.09 0.17 0.14 6.98* 2.35 0.00
6 1.43 1.72 2.18* 0.50 0.73 3.44 0.00
7 1.78 1.59* 0.73 1.73 0.27 3.91 0.00
8 1.19 0.35 0.40 0.17 6.55* 1.34 0.00
9 0.38 0.59 1.17 2.03* 0.04 5.79 0.00
10 0.35 1.01 0.39 2.35* 0.12 5.79 0.00
11 0.39 0.90 0.67* 0.36 0.92 6.75 0.00
12 0.07 0.28 0.65 0.45 5.70* 2.86 0.00
13 0.58 0.43 0.65 1.07 4.28* 2.99 0.00
14 0.81 0.41 0.37 3.53* 1.29 3.58 0.00
15 0.17 0.17 0.39* 0.08 0.14 9.04 0.00
16 0.63 0.37 3.72* 0.25 0.83 4.20 0.00
17 0.69 0.48* 0.13 0.66 0.14 7.89 0.00
18 0.07 0.26* 0.10 0.11 0.20 9.27 0.00
19 0.61 0.34 0.90 0.81* 0.42 6.92 0.00
20 0.28* 0.30 0.39 1.15 0.15 7.72 0.00
21 0.84 0.25 0.21 0.39* 1.50 6.81 0.01
22 0.55 0.35 0.27* 0.65 0.17 7.99 0.01
23 0.09 0.16* 0.15 0.10 0.23 9.27 0.00
24 0.11 1.26* 0.43 0.05 0.17 7.97 0.00
25 0.28 0.20 0.07* 0.09 1.82 7.55 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 Montana
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 1
149.0 0 0 124.0 0 0 99.0 1 0
148.5 0 0 123.5 0 0 98.5 1 1
148.0 0 0 123.0 0 0 98.0 0 1
147.5 0 0 122.5 0 0 97.5 0 0
147.0 0 0 122.0 0 0 97.0 0 0
146.5 0 0 121.5 0 0 96.5 0 1
146.0 0 0 121.0 0 0 96.0 0 1
145.5 0 0 120.5 0 0 95.5 2 0
145.0 0 0 120.0 0 0 95.0 3 0
144.5 0 0 119.5 0 0 94.5 1 1
144.0 0 0 119.0 0 0 94.0 0 2
143.5 0 0 118.5 0 0 93.5 0 0
143.0 0 0 118.0 1 0 93.0 1 0
142.5 0 0 117.5 0 0 92.5 4 0
142.0 0 0 117.0 0 0 92.0 4 0
141.5 0 0 116.5 0 0 91.5 0 0
141.0 0 0 116.0 0 0 91.0 1 2
140.5 0 0 115.5 0 0 90.5 3 1
140.0 0 0 115.0 0 0 90.0 3 1
139.5 0 0 114.5 0 0 89.5 0 1
139.0 0 0 114.0 0 0 89.0 0 1
138.5 0 0 113.5 1 0 88.5 0 2
138.0 0 0 113.0 0 0 88.0 1 1
137.5 0 0 112.5 0 0 87.5 1 1
137.0 0 0 112.0 0 0 87.0 0 1
136.5 0 0 111.5 0 0 86.5 0 1
136.0 0 0 111.0 3 0 86.0 2 1
135.5 0 0 110.5 0 0 85.5 2 1
135.0 0 0 110.0 1 1 85.0 2 0
134.5 0 0 109.5 0 0 84.5 1 3
134.0 0 0 109.0 2 0 84.0 1 1
133.5 0 0 108.5 0 1 83.5 0 1
133.0 0 0 108.0 0 0 83.0 2 1
132.5 0 0 107.5 1 0 82.5 3 1
132.0 0 0 107.0 1 0 82.0 1 4
131.5 0 0 106.5 0 0 81.5 2 2
131.0 0 0 106.0 0 0 81.0 3 0
130.5 0 0 105.5 0 0 80.5 2 2
130.0 0 0 105.0 1 0 80.0 1 0
129.5 0 0 104.5 0 0 79.5 0 2
129.0 0 0 104.0 2 0 79.0 2 3
128.5 0 0 103.5 0 0 78.5 4 2
128.0 0 0 103.0 0 1 78.0 1 3
127.5 0 0 102.5 1 0 77.5 2 5
127.0 0 0 102.0 0 1 77.0 2 1
126.5 0 0 101.5 0 0 76.5 3 1
126.0 0 0 101.0 0 0 76.0 1 1
125.5 0 0 100.5 0 0 75.5 1 1
American Mathematics Competitions
2003 AMC 10 B Results for Montana
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 4 50.0 0 2 25.0 0 0
74.5 3 4 49.5 0 1 24.5 0 0
74.0 2 2 49.0 0 0 24.0 0 0
73.5 2 3 48.5 0 0 23.5 0 0
73.0 1 2 48.0 0 1 23.0 0 0
72.5 1 6 47.5 0 0 22.5 0 0
72.0 2 0 47.0 0 0 22.0 0 0
71.5 1 5 46.5 0 1 21.5 0 0
71.0 0 1 46.0 0 0 21.0 0 0
70.5 2 4 45.5 0 2 20.5 0 0
70.0 1 4 45.0 0 0 20.0 0 0
69.5 0 1 44.5 0 0 19.5 0 0
69.0 1 2 44.0 0 0 19.0 0 0
68.5 2 0 43.5 1 0 18.5 0 0
68.0 2 3 43.0 0 0 18.0 0 0
67.5 2 2 42.5 1 0 17.5 0 0
67.0 2 3 42.0 2 1 17.0 0 0
66.5 2 1 41.5 1 0 16.5 0 0
66.0 2 1 41.0 0 0 16.0 0 0
65.5 2 4 40.5 2 0 15.5 0 0
65.0 1 1 40.0 0 1 15.0 0 0
64.5 3 2 39.5 0 0 14.5 0 0
64.0 0 2 39.0 0 0 14.0 0 0
63.5 1 0 38.5 0 0 13.5 0 0
63.0 3 4 38.0 0 1 13.0 0 0
62.5 3 3 37.5 0 0 12.5 0 0
62.0 0 2 37.0 0 0 12.0 0 0
61.5 0 1 36.5 0 0 11.5 0 0
61.0 1 0 36.0 1 3 11.0 0 0
60.5 2 1 35.5 0 0 10.5 0 0
60.0 1 0 35.0 0 0 10.0 0 0
59.5 1 3 34.5 0 0 9.5 0 0
59.0 2 0 34.0 0 0 9.0 0 0
58.5 0 0 33.5 0 0 8.5 0 0
58.0 1 1 33.0 1 0 8.0 0 0
57.5 0 0 32.5 0 0 7.5 0 0
57.0 0 1 32.0 0 0 7.0 0 0
56.5 0 0 31.5 0 0 6.5 0 0
56.0 0 1 31.0 0 0 6.0 0 0
55.5 1 1 30.5 0 0 5.5 0 0
55.0 2 1 30.0 0 1 5.0 0 0
54.5 3 0 29.5 0 0 4.5 0 0
54.0 1 0 29.0 1 0 4.0 0 0
53.5 2 1 28.5 0 0 3.5 0 0
53.0 2 1 28.0 0 0 3.0 0 0
52.5 0 0 27.5 0 0 2.5 0 0
52.0 1 3 27.0 0 0 2.0 0 0
51.5 2 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 1 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 B Results for Montana
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 unknown
---------------------------
150.0 0 0 0 0 0 0 0
149.5 0 0 0 0 0 0 0
149.0 0 0 0 0 0 0 0
148.5 0 0 0 0 0 0 0
148.0 0 0 0 0 0 0 0
147.5 0 0 0 0 0 0 0
147.0 0 0 0 0 0 0 0
146.5 0 0 0 0 0 0 0
146.0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0
144.0 0 0 0 0 0 0 0
143.5 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0
140.5 0 0 0 0 0 0 0
140.0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 0 0
139.0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0
138.0 0 0 0 0 0 0 0
137.5 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 0
136.5 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 0
135.5 0 0 0 0 0 0 0
135.0 0 0 0 0 0 0 0
134.5 0 0 0 0 0 0 0
134.0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 0 0
133.0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0
132.0 0 0 0 0 0 0 0
131.5 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 0
130.5 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0
129.5 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 0 0
128.0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 0
127.0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 0
126.0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 0 0
125.0 0 0 0 0 0 0 0
124.5 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 0
123.5 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0
122.5 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0
121.5 0 0 0 0 0 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 1 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 2 1 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 0 2 0
108.5 0 0 0 0 0 1 0
108.0 0 0 0 0 0 0 0
107.5 0 0 0 0 0 1 0
107.0 0 0 0 0 0 1 0
106.5 0 0 0 0 0 0 0
106.0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 0 0
105.0 0 0 0 0 0 1 0
104.5 0 0 0 0 0 0 0
104.0 0 0 0 0 0 2 0
103.5 0 0 0 0 0 0 0
103.0 0 0 0 0 1 0 0
102.5 0 0 0 0 0 1 0
102.0 0 0 0 0 0 1 0
101.5 0 0 0 0 0 0 0
101.0 0 0 0 0 0 0 0
100.5 0 0 0 0 0 0 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 0 1 0
98.5 0 0 0 0 0 2 0
98.0 0 0 0 0 0 1 0
97.5 0 0 0 0 0 0 0
97.0 0 0 0 0 0 0 0
96.5 0 0 0 0 0 1 0
96.0 0 0 0 0 0 1 0
95.5 0 0 0 0 1 1 0
95.0 0 0 0 0 1 2 0
94.5 0 0 0 0 0 2 0
94.0 0 0 0 0 1 1 0
93.5 0 0 0 0 0 0 0
93.0 0 0 0 0 0 1 0
92.5 0 0 0 0 0 4 0
92.0 0 0 0 0 0 4 0
91.5 0 0 0 0 0 0 0
91.0 0 0 0 0 0 3 0
90.5 0 0 0 0 0 4 0
90.0 0 0 0 0 1 3 0
89.5 0 0 0 0 0 1 0
89.0 0 0 0 0 0 1 0
88.5 0 0 0 0 1 2 0
88.0 0 0 0 0 1 1 0
87.5 0 0 0 0 1 1 0
87.0 0 0 0 0 1 0 0
86.5 0 0 0 0 0 1 0
86.0 0 0 0 0 0 3 0
85.5 0 0 0 0 0 3 0
85.0 0 0 0 0 0 2 0
84.5 0 0 0 0 2 2 0
84.0 0 0 0 0 1 1 0
83.5 0 0 0 0 1 0 0
83.0 0 0 0 0 1 2 0
82.5 0 0 0 0 0 4 0
82.0 0 0 0 0 4 1 0
81.5 0 0 0 0 1 3 0
81.0 0 0 0 0 0 3 0
80.5 0 0 0 0 2 2 0
80.0 0 0 0 0 0 1 0
79.5 0 0 0 0 2 0 0
79.0 0 0 0 0 0 5 0
78.5 0 0 0 0 3 3 0
78.0 0 0 0 0 1 3 0
77.5 0 0 0 0 2 5 0
77.0 0 0 0 0 1 2 0
76.5 0 0 0 0 1 3 0
76.0 0 0 0 0 1 1 0
75.5 0 0 0 0 0 2 0
75.0 0 0 0 0 3 3 0
74.5 0 0 0 0 2 5 0
74.0 0 0 0 0 2 2 0
73.5 0 0 0 0 2 3 0
73.0 0 0 0 0 0 3 0
72.5 0 0 0 0 5 2 0
72.0 0 0 0 0 1 1 0
71.5 0 0 0 1 2 3 0
71.0 0 0 0 0 1 0 0
70.5 0 0 0 0 2 4 0
70.0 0 0 0 0 3 2 0
69.5 0 0 0 0 1 0 0
69.0 0 0 0 0 2 1 0
68.5 0 0 0 0 0 2 0
68.0 0 0 0 0 1 4 0
67.5 0 0 0 0 2 2 0
67.0 0 0 0 0 3 2 0
66.5 0 0 0 0 1 2 0
66.0 0 0 0 0 2 1 0
65.5 0 0 0 0 3 3 0
65.0 0 0 0 0 0 2 0
64.5 0 0 0 0 4 1 0
64.0 0 0 0 0 1 1 0
63.5 0 0 0 0 1 0 0
63.0 0 0 0 0 6 1 0
62.5 0 0 0 0 7 0 0
62.0 0 0 0 0 1 1 0
61.5 0 0 0 0 1 0 0
61.0 0 0 0 0 0 1 0
60.5 0 0 0 0 1 2 0
60.0 0 0 0 0 1 1 0
59.5 0 0 0 0 3 1 0
59.0 0 0 0 0 0 2 0
58.5 0 0 0 0 0 0 0
58.0 0 0 0 0 2 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 1 0 0
55.5 0 0 0 0 2 0 0
55.0 0 0 0 0 1 2 0
54.5 0 0 0 0 2 1 0
54.0 0 0 0 0 0 1 0
53.5 0 0 0 0 1 2 0
53.0 0 0 0 0 3 0 0
52.5 0 0 0 0 0 0 0
52.0 0 0 0 0 2 2 0
51.5 0 0 0 0 1 1 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 1 1 0
49.5 0 0 0 0 0 1 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 1 1 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 1 0
46.0 0 0 0 0 0 0 0
45.5 0 0 0 0 2 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 1 0 0
43.0 0 0 0 0 0 0 0
42.5 0 0 0 0 0 1 0
42.0 0 0 0 0 3 0 0
41.5 0 0 0 0 1 0 0
41.0 0 0 0 0 0 0 0
40.5 0 0 0 0 1 1 0
40.0 0 0 0 0 1 0 0
39.5 0 0 0 0 0 0 0
39.0 0 0 0 0 0 0 0
38.5 0 0 0 0 0 0 0
38.0 0 0 0 0 0 1 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 2 2 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 1 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 1 0 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 1 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 Montana
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 0.13 0.13 9.14* 0.03 0.16 0.41 0.00
2 0.06 0.29 0.89 6.94* 0.76 1.05 0.00
3 0.41 5.54* 0.61 0.64 0.22 2.58 0.00
4 7.52* 0.41 0.29 0.03 0.06 1.69 0.00
5 0.29 0.13 3.92* 0.76 1.46 3.44 0.00
6 1.18 1.82 0.29 2.45* 0.48 3.79 0.00
7 0.32 3.60* 0.22 1.11 0.48 4.27 0.00
8 0.13 1.27* 0.35 0.70 0.45 7.10 0.00
9 0.25 1.88* 0.51 0.29 0.22 6.85 0.00
10 0.35 0.29 2.55* 1.53 0.22 5.06 0.00
11 4.20* 0.70 0.29 0.35 0.86 3.60 0.00
12 0.80 0.73 4.84* 0.13 0.22 3.28 0.00
13 2.20 0.38 0.35 0.51 0.45* 6.11 0.00
14 1.15 0.48 0.19 2.01* 0.13 6.05 0.00
15 2.04 2.04 0.51 0.83 1.94* 2.64 0.00
16 0.25 0.13 0.51 0.67 3.82* 4.62 0.00
17 0.22 0.99* 0.54 0.32 0.19 7.74 0.00
18 0.25 1.11 0.35 1.31* 1.27 5.70 0.00
19 0.32 0.29 0.48 0.38 0.64* 7.90 0.00
20 0.16 0.32 0.67 1.11* 1.40 6.34 0.00
21 1.88 0.54 0.48* 1.40 0.19 5.48 0.03
22 1.11 1.94* 1.46 0.89 0.61 3.98 0.00
23 0.35 0.16 0.35 1.27* 0.25 7.61 0.00
24 0.06 0.10 1.62 0.10 0.16* 7.96 0.00
25 0.61 2.01* 1.21 0.19 0.38 5.61 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 Montana
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 0 0
148.5 0 0 123.5 0 0 98.5 0 1
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 2 0
145.5 0 0 120.5 0 0 95.5 0 0
145.0 0 0 120.0 0 0 95.0 0 0
144.5 0 0 119.5 0 0 94.5 1 0
144.0 0 0 119.0 0 0 94.0 0 0
143.5 0 0 118.5 0 0 93.5 0 1
143.0 0 0 118.0 0 0 93.0 0 0
142.5 0 0 117.5 0 0 92.5 1 1
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 2 1
140.5 0 0 115.5 0 0 90.5 0 0
140.0 0 0 115.0 0 0 90.0 3 0
139.5 0 0 114.5 0 0 89.5 0 0
139.0 0 0 114.0 0 0 89.0 4 4
138.5 0 0 113.5 0 0 88.5 2 1
138.0 0 0 113.0 0 0 88.0 2 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 2 0
136.0 0 0 111.0 0 0 86.0 1 0
135.5 0 0 110.5 0 0 85.5 2 2
135.0 0 0 110.0 0 0 85.0 1 0
134.5 0 0 109.5 0 0 84.5 4 1
134.0 0 0 109.0 0 0 84.0 2 1
133.5 0 0 108.5 0 0 83.5 0 1
133.0 0 0 108.0 0 0 83.0 4 5
132.5 0 0 107.5 0 0 82.5 1 0
132.0 0 0 107.0 0 0 82.0 5 2
131.5 0 0 106.5 3 0 81.5 0 0
131.0 0 0 106.0 0 0 81.0 0 1
130.5 0 0 105.5 0 0 80.5 3 2
130.0 1 0 105.0 0 0 80.0 0 1
129.5 0 0 104.5 0 0 79.5 5 2
129.0 0 0 104.0 0 0 79.0 2 1
128.5 0 0 103.5 0 0 78.5 6 2
128.0 0 0 103.0 1 1 78.0 5 2
127.5 0 0 102.5 0 0 77.5 1 3
127.0 0 0 102.0 0 1 77.0 4 2
126.5 0 0 101.5 0 0 76.5 1 0
126.0 0 0 101.0 2 0 76.0 2 1
125.5 0 0 100.5 1 0 75.5 4 0
American Mathematics Competitions
2003 AMC 12 B Results for Montana
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 2 50.0 0 0 25.0 0 0
74.5 2 2 49.5 0 0 24.5 0 0
74.0 1 2 49.0 1 1 24.0 0 0
73.5 4 3 48.5 1 0 23.5 0 0
73.0 3 3 48.0 0 2 23.0 0 0
72.5 4 3 47.5 0 0 22.5 0 0
72.0 3 0 47.0 0 0 22.0 0 0
71.5 1 1 46.5 0 0 21.5 0 0
71.0 2 1 46.0 0 0 21.0 0 0
70.5 2 1 45.5 0 1 20.5 0 0
70.0 2 2 45.0 0 1 20.0 0 0
69.5 6 1 44.5 0 0 19.5 0 0
69.0 1 5 44.0 0 0 19.0 0 0
68.5 1 1 43.5 0 0 18.5 0 0
68.0 4 0 43.0 0 0 18.0 0 0
67.5 10 6 42.5 0 1 17.5 0 0
67.0 0 0 42.0 0 1 17.0 0 0
66.5 2 6 41.5 2 0 16.5 0 0
66.0 2 2 41.0 0 0 16.0 0 0
65.5 1 1 40.5 0 0 15.5 0 0
65.0 1 1 40.0 0 0 15.0 0 0
64.5 2 1 39.5 0 0 14.5 0 0
64.0 3 3 39.0 0 0 14.0 0 0
63.5 3 3 38.5 0 0 13.5 0 0
63.0 4 4 38.0 0 0 13.0 0 0
62.5 3 3 37.5 0 0 12.5 0 0
62.0 3 1 37.0 0 0 12.0 0 0
61.5 2 0 36.5 0 0 11.5 0 0
61.0 1 2 36.0 0 0 11.0 0 0
60.5 2 2 35.5 0 0 10.5 0 0
60.0 2 1 35.0 0 0 10.0 0 0
59.5 0 0 34.5 0 0 9.5 0 0
59.0 1 3 34.0 0 0 9.0 0 0
58.5 2 1 33.5 0 0 8.5 0 0
58.0 1 3 33.0 0 0 8.0 0 0
57.5 0 1 32.5 0 0 7.5 0 0
57.0 1 0 32.0 0 0 7.0 0 0
56.5 1 1 31.5 0 1 6.5 0 0
56.0 0 1 31.0 0 0 6.0 0 0
55.5 1 2 30.5 0 0 5.5 0 0
55.0 0 0 30.0 1 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 1 1 28.5 0 0 3.5 0 0
53.0 0 2 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 1 1 26.5 0 0 1.5 0 0
51.0 0 0 26.0 0 0 1.0 0 0
50.5 2 1 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 B Results for Montana
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 1 0 0
129.5 0 0 0 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 0 0 0 0 0
128.0 0 0 0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 0 0 0 0
127.0 0 0 0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 0 0 0 0
126.0 0 0 0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 0 0 0 0 0
125.0 0 0 0 0 0 0 0 0 0 0
124.5 0 0 0 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 0 0 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0 0 0 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0 0 0 0
121.5 0 0 0 0 0 0 0 0 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 0 0 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 0 0 0 0 0
119.0 0 0 0 0 0 0 0 0 0 0
118.5 0 0 0 0 0 0 0 0 0 0
118.0 0 0 0 0 0 0 0 0 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 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 0 0 0 0
108.5 0 0 0 0 0 0 0 0 0 0
108.0 0 0 0 0 0 0 0 0 0 0
107.5 0 0 0 0 0 0 0 0 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 0 0 3 0 0
106.0 0 0 0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 0 0 0 0 0
105.0 0 0 0 0 0 0 0 0 0 0
104.5 0 0 0 0 0 0 0 0 0 0
104.0 0 0 0 0 0 0 0 0 0 0
103.5 0 0 0 0 0 0 0 0 0 0
103.0 0 0 0 0 0 0 1 1 0 0
102.5 0 0 0 0 0 0 0 0 0 0
102.0 0 0 0 0 1 0 0 0 0 0
101.5 0 0 0 0 0 0 0 0 0 0
101.0 0 0 0 0 0 1 0 1 0 0
100.5 0 0 0 0 0 0 0 1 0 0
100.0 0 0 0 0 0 0 0 0 0 0
99.5 0 0 0 0 0 0 0 1 0 0
99.0 0 0 0 0 0 0 0 0 0 0
98.5 0 0 0 0 0 0 0 1 0 0
98.0 0 0 0 0 0 0 0 0 0 0
97.5 0 0 0 0 0