American Mathematics Competitions
2003 AMC 10 A Results for Massachusetts
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2065
Number of unofficial participants: 45
Average score of participants: 76.0
Average score for female students is: 73.5 ( 947 Students)
Average score for male students is: 78.2 ( 1013 Students)
Average score for unspecified gender is 77.5 ( 105 Students)
Average score for grade 10 is: 77.8 ( 1126 Students)
Average score for grade 9 is: 73.9 ( 828 Students)
Average score for grade 8 and below is: 74.0 ( 68 Students)
Average score with unknown grade: 71.7 ( 43 Students)
AIME qualifying score = 119.0 or better
Number of AIME qualifers 57
Number of schools returning results 71
Average school winning score 110.69
American Mathematics Competitions
2003 AMC 12 A Results for Massachusetts
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2180
Number of unofficial participants: 8
Average score of participants: 82.4
Average score for female students is: 77.8 ( 904 Students)
Average score for male students is: 85.9 ( 1221 Students)
Average score for unspecified gender is 77.4 ( 55 Students)
Average score for grade 13 is: 83.6 ( 6 Students)
Average score for grade 12 is: 84.4 ( 920 Students)
Average score for grade 11 is: 80.4 ( 1147 Students)
Average score for grade 10 is: 85.7 ( 72 Students)
Average score for grade 9 is: 88.5 ( 13 Students)
Average score for grade 8 and below is: 123.0 ( 1 Student)
Average score with unknown grade: 83.6 ( 21 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 410
Number of schools returning results 79
Average school winning score 113.13
Average school team score 320.54
American Mathematics Competitions
2003 AMC 10 B Results for Massachusetts
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1176
Number of unofficial participants: 0
Average score of participants: 82.2
Average score for female students is: 78.7 ( 574 Students)
Average score for male students is: 85.7 ( 553 Students)
Average score for unspecified gender is 82.1 ( 49 Students)
Average score for grade 10 is: 82.8 ( 586 Students)
Average score for grade 9 is: 79.7 ( 485 Students)
Average score for grade 8 and below is: 82.8 ( 24 Students)
Average score with unknown grade: 92.6 ( 81 Students)
AIME qualifying score = 121.0 or better
Number of AIME qualifers 31
Number of schools returning results 27
Average school winning score 118.63
American Mathematics Competitions
2003 AMC 12 B Results for Massachusetts
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 886
Number of unofficial participants: 0
Average score of participants: 77.9
Average score for female students is: 72.5 ( 410 Students)
Average score for male students is: 83.0 ( 455 Students)
Average score for unspecified gender is 74.2 ( 21 Students)
Average score for grade 12 is: 78.1 ( 410 Students)
Average score for grade 11 is: 76.5 ( 445 Students)
Average score for grade 10 is: 98.1 ( 25 Students)
Average score for grade 9 is: 101.3 ( 3 Students)
Average score with unknown grade: 74.5 ( 3 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 101
Number of schools returning results 29
Average school winning score 109.12
Average school team score 304.69
2003 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 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 1 0 1 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 3 1 1 1
143.5 0 0 0 0
143.0 0 0 0 0
142.5 0 0 0 0
142.0 0 0 0 0
141.5 0 0 0 0
141.0 0 0 0 0
140.5 2 0 1 0
140.0 0 0 0 0
139.5 1 1 2 1
139.0 0 0 0 0
138.5 0 0 0 0
138.0 2 0 1 3
137.5 0 0 0 0
137.0 1 2 3 2
136.5 0 0 0 0
136.0 0 0 1 0
135.5 0 0 0 0
135.0 0 0 0 0
134.5 1 1 0 0
134.0 0 0 0 0
133.5 1 2 4 0
133.0 0 0 0 0
132.5 0 1 1 2
132.0 1 1 2 0
131.5 0 0 0 0
131.0 1 2 1 1
130.5 0 0 0 0
130.0 2 0 3 4
129.5 0 0 0 0
129.0 0 0 2 0
128.5 1 1 0 2
128.0 0 0 0 0
127.5 5 0 1 0
127.0 0 0 0 0
126.5 3 1 3 0
126.0 0 1 1 0
125.5 2 2 1 0
125.0 3 0 2 1
124.5 0 0 0 0
124.0 5 0 2 5
123.5 0 0 0 0
123.0 8 1 4 3
122.5 0 1 1 0
122.0 0 1 2 2
121.5 1 0 7 4
121.0 0 0 0 0
120.5 6 3 6 4
120.0 1 0 0 1
119.5 7 1 2 2
119.0 1 0 2 2
118.5 3 3 1 0
118.0 3 2 2 3
117.5 0 0 0 0
117.0 11 2 4 5
116.5 0 0 1 1
116.0 6 5 4 3
115.5 1 1 2 2
115.0 6 1 1 0
114.5 5 0 7 5
114.0 0 0 1 0
113.5 8 7 4 3
113.0 1 0 2 1
112.5 10 5 4 2
112.0 5 0 1 7
111.5 6 2 1 2
111.0 17 2 4 9
110.5 0 0 0 1
110.0 13 6 11 5
109.5 2 1 0 3
109.0 17 1 7 5
108.5 3 1 9 3
108.0 12 4 2 3
107.5 10 1 12 9
107.0 1 0 2 2
106.5 27 10 10 9
106.0 3 0 5 1
105.5 22 1 4 6
105.0 11 1 9 7
104.5 9 3 1 3
104.0 23 2 9 10
103.5 1 0 2 1
103.0 26 6 11 9
102.5 7 0 7 3
102.0 23 3 5 6
101.5 16 1 8 9
101.0 12 2 4 1
100.5 20 5 12 7
100.0 3 0 6 6
99.5 22 8 10 8
99.0 6 1 12 4
98.5 19 5 5 3
98.0 19 2 16 15
97.5 8 1 2 3
97.0 27 4 17 11
96.5 3 1 3 7
96.0 34 8 11 11
95.5 22 2 14 3
95.0 27 12 5 10
94.5 26 7 11 11
94.0 4 1 2 6
93.5 34 5 18 18
93.0 9 0 13 4
92.5 28 14 14 11
92.0 14 1 17 16
91.5 20 7 5 8
91.0 20 7 18 8
90.5 8 1 5 6
90.0 38 12 17 19
89.5 15 4 21 10
89.0 31 23 10 11
88.5 18 2 16 13
88.0 7 6 8 12
87.5 22 13 25 15
87.0 9 3 9 9
86.5 24 14 25 18
86.0 7 1 26 17
85.5 17 9 14 12
85.0 32 4 27 18
84.5 9 6 10 14
84.0 49 18 22 17
83.5 7 2 18 4
83.0 33 17 22 15
82.5 21 8 27 6
82.0 17 10 9 12
81.5 40 11 26 17
81.0 15 6 17 15
80.5 30 18 26 24
80.0 18 1 25 6
79.5 34 16 24 16
79.0 16 5 22 17
78.5 18 6 17 10
78.0 32 17 34 15
77.5 11 3 20 8
77.0 32 27 18 17
76.5 14 4 26 7
76.0 17 16 26 13
75.5 21 10 29 23
75.0 21 8 21 7
74.5 31 9 24 18
74.0 15 7 17 12
73.5 24 23 18 15
73.0 22 6 28 9
72.5 20 9 22 13
72.0 26 15 26 15
71.5 10 4 20 5
71.0 24 20 21 13
70.5 17 5 19 11
70.0 12 9 17 11
69.5 16 6 15 10
69.0 23 6 23 5
68.5 24 8 34 16
68.0 13 9 18 9
67.5 13 10 20 11
67.0 22 5 25 10
66.5 17 10 18 10
66.0 19 10 28 7
65.5 17 4 17 10
65.0 16 16 12 7
64.5 11 8 25 9
64.0 10 6 25 9
63.5 13 12 12 7
63.0 9 6 18 8
62.5 20 15 25 6
62.0 9 4 10 3
61.5 18 9 26 6
61.0 12 6 18 12
60.5 9 6 15 6
60.0 16 10 27 7
59.5 8 3 13 1
59.0 13 10 22 5
58.5 7 4 8 6
58.0 3 5 8 6
57.5 10 6 10 3
57.0 9 5 9 4
56.5 7 4 12 4
56.0 3 0 11 2
55.5 5 5 4 3
55.0 6 3 12 3
54.5 6 5 8 5
54.0 18 6 19 1
53.5 4 0 7 4
53.0 7 2 13 2
52.5 5 3 5 5
52.0 5 3 9 2
51.5 3 1 13 2
51.0 7 1 4 1
50.5 6 3 8 2
50.0 7 1 6 3
49.5 2 5 7 2
49.0 2 6 7 2
48.5 1 2 5 3
48.0 10 6 14 5
47.5 3 2 4 2
47.0 3 3 5 2
46.5 4 1 4 0
46.0 4 1 5 1
45.5 1 0 2 2
45.0 5 1 4 0
44.5 2 0 5 2
44.0 1 1 1 2
43.5 1 0 2 1
43.0 3 1 9 1
42.5 1 2 0 2
42.0 12 5 12 4
41.5 1 2 6 2
41.0 3 0 3 1
40.5 2 0 1 0
40.0 2 2 2 1
39.5 3 0 3 0
39.0 3 2 3 0
38.5 0 0 4 2
38.0 1 0 5 0
37.5 2 0 1 0
37.0 1 0 3 0
36.5 0 0 3 2
36.0 8 4 10 3
35.5 1 0 4 0
35.0 1 1 4 0
34.5 1 0 1 0
34.0 0 2 0 0
33.5 0 0 1 0
33.0 2 0 3 0
32.5 1 0 1 0
32.0 1 0 2 0
31.5 0 0 0 1
31.0 1 0 1 0
30.5 0 2 3 0
30.0 5 2 5 2
29.5 2 0 0 0
29.0 0 0 0 0
28.5 0 0 0 0
28.0 0 0 1 1
27.5 0 0 0 0
27.0 0 0 1 1
26.5 0 0 1 0
26.0 0 0 0 0
25.5 1 0 1 0
25.0 0 0 0 0
24.5 0 0 0 0
24.0 3 1 8 0
23.5 0 0 1 1
23.0 0 0 0 0
22.5 0 0 0 0
22.0 0 0 0 0
21.5 0 0 0 0
21.0 0 0 0 0
20.5 0 0 0 0
20.0 0 0 0 0
19.5 0 0 1 1
19.0 0 0 0 0
18.5 0 0 0 0
18.0 2 1 2 1
17.5 0 0 0 0
17.0 1 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 1 0 0 0
14.0 0 0 0 0
13.5 0 0 0 0
13.0 0 0 0 0
12.5 0 0 0 0
12.0 0 0 2 0
11.5 0 0 0 0
11.0 1 0 0 0
10.5 0 0 0 0
10.0 0 0 0 0
9.5 0 0 0 0
9.0 0 0 0 0
8.5 0 0 0 0
8.0 0 0 0 0
7.5 0 0 0 0
7.0 0 0 0 0
6.5 0 0 0 0
6.0 0 0 1 0
5.5 0 0 0 0
5.0 0 0 0 0
4.5 0 0 0 0
4.0 0 0 0 0
3.5 0 0 0 0
3.0 0 0 0 0
2.5 0 0 0 0
2.0 0 0 0 0
1.5 0 0 0 0
1.0 0 0 0 0
0.5 0 0 0 0
0 0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for Massachusetts
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 1 1 100.0 3 2
149.5 0 0 124.5 0 0 99.5 5 5
149.0 0 0 124.0 1 1 99.0 9 3
148.5 0 0 123.5 0 0 98.5 2 3
148.0 0 0 123.0 3 0 98.0 10 6
147.5 0 0 122.5 1 0 97.5 1 1
147.0 0 0 122.0 1 1 97.0 10 7
146.5 0 1 121.5 3 1 96.5 3 0
146.0 0 0 121.0 0 0 96.0 5 6
145.5 0 0 120.5 4 2 95.5 11 3
145.0 0 0 120.0 0 0 95.0 3 2
144.5 0 0 119.5 1 0 94.5 7 2
144.0 1 0 119.0 0 2 94.0 2 0
143.5 0 0 118.5 1 0 93.5 9 8
143.0 0 0 118.0 0 2 93.0 9 3
142.5 0 0 117.5 0 0 92.5 8 4
142.0 0 0 117.0 2 2 92.0 6 11
141.5 0 0 116.5 1 0 91.5 3 2
141.0 0 0 116.0 3 1 91.0 13 4
140.5 1 0 115.5 1 1 90.5 2 2
140.0 0 0 115.0 0 1 90.0 10 5
139.5 2 0 114.5 6 1 89.5 12 8
139.0 0 0 114.0 1 0 89.0 3 6
138.5 0 0 113.5 3 1 88.5 11 3
138.0 1 0 113.0 1 1 88.0 5 3
137.5 0 0 112.5 4 0 87.5 12 11
137.0 1 0 112.0 1 0 87.0 5 3
136.5 0 0 111.5 1 0 86.5 12 10
136.0 1 0 111.0 4 0 86.0 12 14
135.5 0 0 110.5 0 0 85.5 5 9
135.0 0 0 110.0 6 3 85.0 9 16
134.5 0 0 109.5 0 0 84.5 4 6
134.0 0 0 109.0 3 4 84.0 11 9
133.5 2 2 108.5 7 2 83.5 8 10
133.0 0 0 108.0 2 0 83.0 7 14
132.5 0 1 107.5 9 3 82.5 16 9
132.0 2 0 107.0 1 1 82.0 6 2
131.5 0 0 106.5 8 2 81.5 13 12
131.0 1 0 106.0 1 4 81.0 9 7
130.5 0 0 105.5 0 3 80.5 10 14
130.0 3 0 105.0 4 3 80.0 14 11
129.5 0 0 104.5 1 0 79.5 9 14
129.0 2 0 104.0 5 4 79.0 14 8
128.5 0 0 103.5 2 0 78.5 6 10
128.0 0 0 103.0 7 4 78.0 20 14
127.5 1 0 102.5 5 2 77.5 9 11
127.0 0 0 102.0 1 3 77.0 8 8
126.5 3 0 101.5 6 1 76.5 11 13
126.0 1 0 101.0 1 3 76.0 14 12
125.5 1 0 100.5 5 7 75.5 15 12
American Mathematics Competitions
2003 AMC 10 A Results for Massachusetts
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 11 10 50.0 2 3 25.0 0 0
74.5 8 16 49.5 6 1 24.5 0 0
74.0 12 5 49.0 3 3 24.0 3 5
73.5 9 6 48.5 2 3 23.5 1 0
73.0 8 19 48.0 5 9 23.0 0 0
72.5 11 11 47.5 0 4 22.5 0 0
72.0 13 13 47.0 1 4 22.0 0 0
71.5 10 10 46.5 3 1 21.5 0 0
71.0 5 15 46.0 4 1 21.0 0 0
70.5 8 10 45.5 1 1 20.5 0 0
70.0 9 7 45.0 3 1 20.0 0 0
69.5 5 9 44.5 4 1 19.5 1 0
69.0 10 10 44.0 1 0 19.0 0 0
68.5 12 21 43.5 2 0 18.5 0 0
68.0 9 7 43.0 3 6 18.0 1 1
67.5 9 10 42.5 0 0 17.5 0 0
67.0 12 12 42.0 4 7 17.0 0 0
66.5 5 13 41.5 4 2 16.5 0 0
66.0 13 13 41.0 3 0 16.0 0 0
65.5 6 9 40.5 0 1 15.5 0 0
65.0 5 7 40.0 2 0 15.0 0 0
64.5 10 14 39.5 2 1 14.5 0 0
64.0 7 12 39.0 3 0 14.0 0 0
63.5 7 5 38.5 2 2 13.5 0 0
63.0 8 8 38.0 1 4 13.0 0 0
62.5 10 15 37.5 1 0 12.5 0 0
62.0 6 4 37.0 1 2 12.0 1 0
61.5 13 13 36.5 0 2 11.5 0 0
61.0 8 8 36.0 3 6 11.0 0 0
60.5 6 6 35.5 3 1 10.5 0 0
60.0 11 16 35.0 1 3 10.0 0 0
59.5 5 8 34.5 1 0 9.5 0 0
59.0 11 11 34.0 0 0 9.0 0 0
58.5 4 3 33.5 1 0 8.5 0 0
58.0 4 4 33.0 2 1 8.0 0 0
57.5 4 5 32.5 0 1 7.5 0 0
57.0 1 6 32.0 2 0 7.0 0 0
56.5 7 4 31.5 0 0 6.5 0 0
56.0 4 7 31.0 1 0 6.0 0 1
55.5 2 2 30.5 0 3 5.5 0 0
55.0 6 5 30.0 1 3 5.0 0 0
54.5 2 6 29.5 0 0 4.5 0 0
54.0 11 8 29.0 0 0 4.0 0 0
53.5 3 4 28.5 0 0 3.5 0 0
53.0 5 8 28.0 1 0 3.0 0 0
52.5 1 4 27.5 0 0 2.5 0 0
52.0 4 4 27.0 0 1 2.0 0 0
51.5 8 4 26.5 1 0 1.5 0 0
51.0 2 1 26.0 0 0 1.0 0 0
50.5 4 4 25.5 0 1 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for Massachusetts
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 1 0
146.0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0
144.0 0 0 0 0 0 1 0
143.5 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0
140.5 0 0 0 0 1 0 0
140.0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 2 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 1 0
137.5 0 0 0 0 0 0 0
137.0 0 0 0 0 1 2 0
136.5 0 0 0 0 0 0 0
136.0 0 0 0 0 1 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 1 0 2 1 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 2 0
131.5 0 0 0 0 0 0 0
131.0 0 0 0 1 0 0 0
130.5 0 0 0 0 0 0 0
130.0 0 0 0 0 1 2 0
129.5 0 0 0 0 0 0 0
129.0 0 0 0 0 2 0 0
128.5 0 0 0 0 0 0 0
128.0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 1 0
127.0 0 0 0 0 0 0 0
126.5 0 0 0 1 1 1 0
126.0 0 0 0 0 1 0 0
125.5 0 0 0 0 0 1 0
125.0 0 0 0 0 1 1 0
124.5 0 0 0 0 0 0 0
124.0 0 0 0 0 1 1 0
123.5 0 0 0 0 0 0 0
123.0 0 0 0 0 1 3 0
122.5 0 0 0 0 0 1 0
122.0 0 0 0 0 1 1 0
121.5 0 0 0 0 1 6 0
121.0 0 0 0 0 0 0 0
120.5 0 0 0 0 3 3 0
120.0 0 0 0 0 0 0 0
119.5 0 0 0 1 1 0 0
119.0 0 0 0 0 2 0 0
118.5 0 0 0 0 0 1 0
118.0 0 0 0 0 0 2 0
117.5 0 0 0 0 0 0 0
117.0 0 0 0 0 3 1 0
116.5 0 0 0 0 0 1 0
116.0 0 0 0 0 0 4 0
115.5 0 0 0 0 0 2 0
115.0 0 0 0 0 0 1 0
114.5 0 0 0 1 2 4 0
114.0 0 0 0 0 1 0 0
113.5 0 0 0 0 1 3 0
113.0 0 0 0 0 0 2 0
112.5 0 0 0 0 2 2 0
112.0 0 0 0 0 1 0 0
111.5 0 0 0 0 1 0 0
111.0 0 0 0 1 2 1 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 0 3 8 0
109.5 0 0 0 0 0 0 0
109.0 0 0 0 0 1 6 0
108.5 0 0 0 0 1 8 0
108.0 0 0 0 0 2 0 0
107.5 0 0 0 0 5 7 0
107.0 0 0 0 0 0 2 0
106.5 0 0 0 0 1 9 0
106.0 0 0 0 0 0 5 0
105.5 0 0 0 0 1 3 0
105.0 0 0 0 1 2 5 1
104.5 0 0 0 0 1 0 0
104.0 0 0 0 0 4 5 0
103.5 0 0 0 0 0 2 0
103.0 0 0 0 0 3 8 0
102.5 0 0 0 0 1 6 0
102.0 0 0 0 0 2 3 0
101.5 0 0 0 1 4 2 1
101.0 0 0 0 0 2 2 0
100.5 0 0 0 2 5 5 0
100.0 0 0 1 0 1 4 0
99.5 0 0 0 1 4 5 0
99.0 0 0 0 1 2 9 0
98.5 0 0 0 0 3 2 0
98.0 0 0 0 0 7 9 0
97.5 0 0 0 0 0 2 0
97.0 0 0 1 1 3 12 0
96.5 0 0 0 0 2 1 0
96.0 0 0 0 0 3 8 0
95.5 0 0 0 0 4 10 0
95.0 0 0 0 1 1 3 0
94.5 0 0 0 1 5 4 1
94.0 0 0 0 0 1 1 0
93.5 0 0 0 0 5 11 2
93.0 0 0 0 0 3 10 0
92.5 0 0 0 0 4 9 1
92.0 0 0 0 0 4 13 0
91.5 0 0 0 0 2 2 1
91.0 0 0 0 0 7 11 0
90.5 0 0 0 1 2 2 0
90.0 0 0 0 0 5 11 1
89.5 0 0 0 1 7 13 0
89.0 0 0 0 0 3 7 0
88.5 0 0 0 1 6 9 0
88.0 0 0 0 0 5 3 0
87.5 0 0 0 1 9 14 1
87.0 0 0 0 0 5 3 1
86.5 0 0 0 0 16 8 1
86.0 0 0 0 0 5 21 0
85.5 0 0 0 0 7 7 0
85.0 0 0 0 0 10 17 0
84.5 0 0 0 0 2 7 1
84.0 0 0 0 0 8 14 0
83.5 0 0 0 0 6 12 0
83.0 0 0 0 0 12 9 1
82.5 0 0 0 0 14 13 0
82.0 0 0 0 0 5 4 0
81.5 0 0 0 0 13 13 0
81.0 0 0 0 1 5 11 0
80.5 0 0 1 0 14 10 1
80.0 0 0 0 0 12 12 1
79.5 0 0 0 1 11 11 1
79.0 0 0 0 0 7 14 1
78.5 0 0 0 0 8 9 0
78.0 0 0 0 1 14 18 1
77.5 0 0 0 0 7 13 0
77.0 0 0 0 1 10 7 0
76.5 0 0 0 3 8 15 0
76.0 0 0 0 0 14 11 1
75.5 0 0 0 1 11 16 1
75.0 0 0 0 0 8 13 0
74.5 0 0 0 0 11 13 0
74.0 0 0 0 0 7 10 0
73.5 0 0 0 0 7 10 1
73.0 0 0 0 0 8 20 0
72.5 0 0 0 1 9 12 0
72.0 0 0 0 2 11 13 0
71.5 0 0 0 1 9 10 0
71.0 0 0 0 0 8 13 0
70.5 0 0 0 2 7 9 1
70.0 0 0 0 1 8 8 0
69.5 0 0 0 0 5 9 1
69.0 0 0 0 0 8 12 3
68.5 0 0 0 1 16 16 1
68.0 0 0 0 0 6 11 1
67.5 0 1 0 0 9 9 1
67.0 0 0 0 0 13 12 0
66.5 0 0 0 0 7 11 0
66.0 0 0 0 1 13 14 0
65.5 0 0 0 1 5 10 1
65.0 0 0 0 1 4 7 0
64.5 0 0 0 0 8 17 0
64.0 0 1 0 1 6 14 3
63.5 0 0 0 0 3 9 0
63.0 0 1 0 1 14 2 0
62.5 0 0 1 1 10 13 0
62.0 0 0 0 0 6 4 0
61.5 0 0 0 0 4 21 1
61.0 0 0 0 0 9 8 1
60.5 0 0 0 0 2 13 0
60.0 0 0 0 0 15 12 0
59.5 0 0 0 0 6 7 0
59.0 0 0 0 0 11 11 0
58.5 0 0 0 0 3 4 1
58.0 0 0 0 0 1 7 0
57.5 0 0 0 1 6 3 0
57.0 0 1 0 1 4 3 0
56.5 0 0 0 0 7 5 0
56.0 0 0 0 0 6 5 0
55.5 0 0 0 1 2 1 0
55.0 0 0 0 0 5 7 0
54.5 0 0 0 1 4 3 0
54.0 0 0 0 0 11 8 0
53.5 0 1 0 0 2 4 0
53.0 0 0 1 1 6 5 0
52.5 0 0 0 0 2 3 0
52.0 0 1 0 0 5 3 0
51.5 0 1 0 0 10 2 0
51.0 0 0 0 0 2 2 0
50.5 0 0 0 0 3 5 0
50.0 0 0 0 0 2 4 0
49.5 0 0 0 1 4 1 1
49.0 0 0 0 0 3 4 0
48.5 0 0 0 2 2 1 0
48.0 0 0 0 0 6 6 2
47.5 0 0 0 0 2 2 0
47.0 0 0 0 0 2 3 0
46.5 0 0 0 0 4 0 0
46.0 0 0 0 0 2 3 0
45.5 0 0 0 0 0 2 0
45.0 0 0 1 0 2 1 0
44.5 0 0 0 1 3 1 0
44.0 0 0 0 0 0 1 0
43.5 0 0 0 0 1 0 1
43.0 0 0 0 0 4 5 0
42.5 0 0 0 0 0 0 0
42.0 0 0 0 1 7 3 1
41.5 0 0 0 0 2 4 0
41.0 0 0 0 0 1 2 0
40.5 0 0 0 0 1 0 0
40.0 0 0 0 0 0 2 0
39.5 0 0 0 0 2 1 0
39.0 0 0 0 0 2 1 0
38.5 0 0 0 1 0 2 1
38.0 0 0 0 0 1 4 0
37.5 0 0 0 0 0 1 0
37.0 0 1 0 0 0 2 0
36.5 0 0 0 0 1 2 0
36.0 0 0 0 0 8 2 0
35.5 0 0 0 0 1 3 0
35.0 0 0 0 0 3 1 0
34.5 0 0 0 0 0 1 0
34.0 0 0 0 0 0 0 0
33.5 0 0 0 0 0 1 0
33.0 0 0 0 0 0 3 0
32.5 0 0 0 0 1 0 0
32.0 0 0 0 0 0 2 0
31.5 0 0 0 0 0 0 0
31.0 0 0 0 0 0 1 0
30.5 0 0 0 0 1 2 0
30.0 0 0 0 0 4 1 0
29.5 0 0 0 0 0 0 0
29.0 0 0 0 0 0 0 0
28.5 0 0 0 0 0 0 0
28.0 0 0 0 0 1 0 0
27.5 0 0 0 0 0 0 0
27.0 0 0 0 0 1 0 0
26.5 0 0 0 0 1 0 0
26.0 0 0 0 0 0 0 0
25.5 0 0 0 0 1 0 0
25.0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0
24.0 0 0 0 0 3 5 0
23.5 0 1 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 1 0
19.0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0
18.0 0 0 0 1 1 0 0
17.5 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0
16.5 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0
15.5 0 0 0 0 0 0 0
15.0 0 0 0 0 0 0 0
14.5 0 0 0 0 0 0 0
14.0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0
12.0 0 0 0 0 1 0 1
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 1 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 Massachusetts
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 0.58 2.31 0.63 4.40* 0.52 1.56 0.00
2 0.05 8.78* 0.16 0.80 0.04 0.16 0.00
3 0.58 2.32 0.50 3.86* 0.36 2.37 0.00
4 4.91* 0.14 0.31 3.38 0.12 1.15 0.00
5 0.65 6.01* 0.19 0.12 0.11 2.91 0.00
6 1.47 1.94 3.01* 0.67 0.83 2.07 0.00
7 1.62 2.64* 1.01 1.91 0.36 2.45 0.00
8 0.93 0.45 0.32 0.26 7.16* 0.88 0.00
9 1.89* 0.54 1.71 1.66 0.08 4.11 0.00
10 0.63 0.50 0.83 1.28 3.94* 2.82 0.00
11 0.30 0.16 0.18 0.24 7.01* 2.10 0.00
12 2.93* 2.96 0.18 0.93 0.77 2.20 0.00
13 6.34* 0.27 0.31 0.23 0.09 2.77 0.00
14 2.15* 1.23 0.39 0.92 1.15 4.15 0.01
15 0.77 1.87 4.44* 0.49 0.66 1.76 0.00
16 0.84 0.91 2.98* 0.17 0.66 4.44 0.00
17 0.43 0.99* 0.27 0.34 0.42 7.55 0.00
18 0.58 0.67* 0.24 0.56 0.78 7.17 0.00
19 0.31 0.40 0.66* 0.22 0.22 8.19 0.00
20 0.47 0.24 0.41 0.33 0.77* 7.78 0.00
21 0.71 0.53 1.07 2.15* 2.51 3.03 0.01
22 0.75 2.53* 0.46 0.21 0.14 5.91 0.00
23 0.41 0.30 1.03* 0.59 0.59 7.08 0.00
24 0.23 0.38 0.56 0.61 4.68* 3.54 0.00
25 0.25 0.44* 0.29 0.25 0.34 8.44 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 Massachusetts
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 0 125.0 2 1 100.0 3 0
149.5 0 0 124.5 0 0 99.5 12 10
149.0 0 0 124.0 4 0 99.0 6 0
148.5 0 0 123.5 0 0 98.5 10 9
148.0 0 0 123.0 8 0 98.0 14 5
147.5 0 0 122.5 0 0 97.5 3 5
147.0 0 0 122.0 0 0 97.0 17 10
146.5 1 0 121.5 0 1 96.5 3 0
146.0 0 0 121.0 0 0 96.0 19 15
145.5 0 0 120.5 4 2 95.5 14 8
145.0 0 0 120.0 0 1 95.0 19 7
144.5 0 0 119.5 5 2 94.5 16 7
144.0 2 1 119.0 1 0 94.0 3 1
143.5 0 0 118.5 3 0 93.5 22 11
143.0 0 0 118.0 3 0 93.0 6 3
142.5 0 0 117.5 0 0 92.5 14 14
142.0 0 0 117.0 9 2 92.0 9 5
141.5 0 0 116.5 0 0 91.5 12 8
141.0 0 0 116.0 3 2 91.0 12 8
140.5 2 0 115.5 1 0 90.5 5 3
140.0 0 0 115.0 3 3 90.0 27 11
139.5 1 0 114.5 4 1 89.5 10 4
139.0 0 0 114.0 0 0 89.0 15 15
138.5 0 0 113.5 4 3 88.5 13 5
138.0 2 0 113.0 1 0 88.0 2 4
137.5 0 0 112.5 7 3 87.5 9 11
137.0 1 0 112.0 4 1 87.0 8 1
136.5 0 0 111.5 5 1 86.5 16 8
136.0 0 0 111.0 14 3 86.0 3 4
135.5 0 0 110.5 0 0 85.5 8 9
135.0 0 0 110.0 13 0 85.0 18 13
134.5 1 0 109.5 2 0 84.5 5 4
134.0 0 0 109.0 14 2 84.0 26 22
133.5 1 0 108.5 2 1 83.5 6 1
133.0 0 0 108.0 7 5 83.0 19 14
132.5 0 0 107.5 6 4 82.5 11 8
132.0 0 1 107.0 1 0 82.0 8 9
131.5 0 0 106.5 17 8 81.5 21 18
131.0 1 0 106.0 3 0 81.0 7 8
130.5 0 0 105.5 19 3 80.5 16 13
130.0 2 0 105.0 9 2 80.0 14 4
129.5 0 0 104.5 7 2 79.5 17 16
129.0 0 0 104.0 16 6 79.0 8 8
128.5 1 0 103.5 1 0 78.5 10 8
128.0 0 0 103.0 16 10 78.0 15 17
127.5 5 0 102.5 6 1 77.5 5 5
127.0 0 0 102.0 17 6 77.0 10 20
126.5 3 0 101.5 10 4 76.5 8 6
126.0 0 0 101.0 9 3 76.0 6 10
125.5 2 0 100.5 14 6 75.5 10 11
American Mathematics Competitions
2003 AMC 12 A Results for Massachusetts
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 15 6 50.0 3 4 25.0 0 0
74.5 12 18 49.5 1 1 24.5 0 0
74.0 6 9 49.0 0 2 24.0 1 2
73.5 11 12 48.5 1 0 23.5 0 0
73.0 10 11 48.0 6 4 23.0 0 0
72.5 12 8 47.5 2 1 22.5 0 0
72.0 15 11 47.0 1 2 22.0 0 0
71.5 5 5 46.5 2 2 21.5 0 0
71.0 7 17 46.0 1 3 21.0 0 0
70.5 11 6 45.5 1 0 20.5 0 0
70.0 5 6 45.0 2 3 20.0 0 0
69.5 7 9 44.5 1 0 19.5 0 0
69.0 11 11 44.0 1 0 19.0 0 0
68.5 11 13 43.5 0 1 18.5 0 0
68.0 4 7 43.0 2 1 18.0 1 1
67.5 4 7 42.5 1 0 17.5 0 0
67.0 12 8 42.0 9 2 17.0 0 1
66.5 6 11 41.5 1 0 16.5 0 0
66.0 5 14 41.0 1 2 16.0 0 0
65.5 4 13 40.5 1 1 15.5 0 0
65.0 8 7 40.0 1 1 15.0 0 0
64.5 4 6 39.5 1 2 14.5 1 0
64.0 2 8 39.0 2 1 14.0 0 0
63.5 5 6 38.5 0 0 13.5 0 0
63.0 4 5 38.0 0 1 13.0 0 0
62.5 9 11 37.5 1 1 12.5 0 0
62.0 4 5 37.0 0 1 12.0 0 0
61.5 11 7 36.5 0 0 11.5 0 0
61.0 3 9 36.0 6 1 11.0 0 1
60.5 5 4 35.5 1 0 10.5 0 0
60.0 10 6 35.0 0 1 10.0 0 0
59.5 3 5 34.5 0 0 9.5 0 0
59.0 5 8 34.0 0 0 9.0 0 0
58.5 1 6 33.5 0 0 8.5 0 0
58.0 1 2 33.0 0 2 8.0 0 0
57.5 5 5 32.5 0 1 7.5 0 0
57.0 5 4 32.0 0 1 7.0 0 0
56.5 4 3 31.5 0 0 6.5 0 0
56.0 1 2 31.0 0 0 6.0 0 0
55.5 1 3 30.5 0 0 5.5 0 0
55.0 3 3 30.0 2 3 5.0 0 0
54.5 1 5 29.5 0 2 4.5 0 0
54.0 11 5 29.0 0 0 4.0 0 0
53.5 2 2 28.5 0 0 3.5 0 0
53.0 1 6 28.0 0 0 3.0 0 0
52.5 2 2 27.5 0 0 2.5 0 0
52.0 4 1 27.0 0 0 2.0 0 0
51.5 2 1 26.5 0 0 1.5 0 0
51.0 4 3 26.0 0 0 1.0 0 0
50.5 3 2 25.5 0 1 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for Massachusetts
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 0 0 0 0 0 0 0 1 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 1 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 3 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 2 0 0
140.0 0 0 0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 0 0 1 0 0
139.0 0 0 0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0 0 0 0
138.0 0 0 0 0 0 0 1 1 0 0
137.5 0 0 0 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 1 0 0 0
136.5 0 0 0 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 0 0 0 0
135.5 0 0 0 0 0 0 0 0 0 0
135.0 0 0 0 0 0 0 0 0 0 0
134.5 0 0 0 0 0 0 1 0 0 0
134.0 0 0 0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 0 0 1 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 1 0 0 0
131.5 0 0 0 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 0 1 0 0
130.5 0 0 0 0 0 0 0 0 0 0
130.0 0 0 0 0 1 0 1 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 1 0 0 0
128.0 0 0 0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 1 1 3 0 0
127.0 0 0 0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 1 2 0 0
126.0 0 0 0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 0 0 1 0 1
125.0 0 0 0 0 0 0 2 1 0 0
124.5 0 0 0 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 2 3 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 1 0 0 5 1 1 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 1 0 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 3 3 0 0
120.0 0 0 0 0 0 0 0 1 0 0
119.5 0 0 0 0 0 0 3 4 0 0
119.0 0 0 0 0 0 0 1 0 0 0
118.5 0 0 0 0 0 0 2 1 0 0
118.0 0 0 0 0 0 0 0 3 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 1 2 8 0 0
116.5 0 0 0 0 0 0 0 0 0 0
116.0 0 0 0 0 0 0 2 4 0 0
115.5 0 0 0 0 0 0 1 0 0 0
115.0 0 0 0 0 0 0 2 4 0 0
114.5 0 0 0 0 0 0 3 2 0 0
114.0 0 0 0 0 0 0 0 0 0 0
113.5 0 0 0 0 0 0 6 2 0 0
113.0 0 0 0 0 0 0 1 0 0 0
112.5 0 0 0 0 0 1 2 7 0 0
112.0 0 0 0 0 0 0 2 3 0 0
111.5 0 0 0 0 0 0 3 3 0 0
111.0 0 0 0 0 0 1 8 7 1 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 0 1 4 8 0 0
109.5 0 0 0 0 0 0 0 2 0 0
109.0 0 0 0 0 0 1 6 10 0 0
108.5 0 0 0 0 0 0 2 1 0 0
108.0 0 0 0 0 0 1 6 4 0 1
107.5 0 0 0 0 0 1 8 1 0 0
107.0 0 0 0 0 0 0 0 1 0 0
106.5 0 0 0 0 0 1 9 16 0 1
106.0 0 0 0 0 0 0 1 2 0 0
105.5 0 0 0 0 1 1 8 12 0 0
105.0 0 0 0 0 0 0 6 5 0 0
104.5 0 0 0 0 0 0 4 3 0 2
104.0 0 0 0 0 0 0 9 14 0 0
103.5 0 0 0 0 0 0 1 0 0 0
103.0 0 0 0 0 0 0 16 10 0 0
102.5 0 0 0 0 0 0 3 4 0 0
102.0 0 0 0 0 1 3 5 14 0 0
101.5 0 0 0 0 0 1 8 6 0 1
101.0 0 0 0 0 0 0 8 4 0 0
100.5 0 0 0 0 2 1 7 9 1 0
100.0 0 0 0 0 0 0 2 1 0 0
99.5 0 0 0 0 0 1 14 7 0 0
99.0 0 0 0 0 0 0 3 3 0 0
98.5 0 0 0 0 0 1 8 10 0 0
98.0 0 0 0 0 1 1 6 11 0 0
97.5 0 0 0 0 0 0 4 4 0 0
97.0 0 0 0 0 0 0 14 13 0 0
96.5 0 0 0 0 0 1 1 1 0 0
96.0 0 0 0 0 0 0 23 11 0 0
95.5 0 0 0 0 0 1 10 11 0 0
95.0 0 0 0 0 0 4 8 13 0 2
94.5 0 0 0 0 0 3 16 7 0 0
94.0 0 0 0 0 0 0 3 1 0 0
93.5 0 0 0 0 1 0 14 19 0 0
93.0 0 0 0 0 0 0 2 7 0 0
92.5 0 0 0 0 0 1 17 10 0 0
92.0 0 0 0 0 0 0 8 6 0 0
91.5 0 0 0 0 0 2 11 7 0 0
91.0 0 0 0 0 0 0 10 10 0 0
90.5 0 0 0 0 0 1 5 2 0 0
90.0 0 0 0 0 0 0 17 21 0 0
89.5 0 0 0 0 0 0 8 6 0 1
89.0 0 0 0 0 0 1 17 12 0 1
88.5 0 0 0 0 0 1 8 8 0 1
88.0 0 0 0 0 0 0 3 4 0 0
87.5 0 0 0 0 0 2 11 9 0 0
87.0 0 0 0 0 0 0 6 3 0 0
86.5 0 0 0 0 0 1 13 10 0 0
86.0 0 0 0 0 0 0 3 4 0 0
85.5 0 0 0 0 0 0 7 10 0 0
85.0 0 0 0 0 1 0 19 12 0 0
84.5 0 0 0 0 0 1 1 7 0 0
84.0 0 0 0 0 1 1 27 20 0 0
83.5 0 0 0 0 0 0 3 4 0 0
83.0 0 0 0 0 0 2 16 15 0 0
82.5 0 0 0 0 0 1 10 10 0 0
82.0 0 0 0 0 0 1 10 6 0 0
81.5 0 0 0 0 0 3 23 14 0 0
81.0 0 0 0 0 0 0 12 3 0 0
80.5 0 0 0 0 0 0 16 14 0 0
80.0 0 0 0 0 0 0 12 6 0 0
79.5 0 0 0 0 1 0 15 17 0 1
79.0 0 0 0 0 0 1 8 7 0 0
78.5 0 0 0 0 0 0 8 10 0 0
78.0 0 0 0 0 0 1 25 5 0 1
77.5 0 0 0 0 0 2 7 1 0 1
77.0 0 0 0 0 0 0 20 12 0 0
76.5 0 0 0 0 0 1 8 5 0 0
76.0 0 0 0 0 0 0 6 11 0 0
75.5 0 0 0 0 0 0 13 8 0 0
75.0 0 0 0 0 0 0 15 6 0 0
74.5 0 0 0 0 0 2 12 17 0 0
74.0 0 0 0 0 0 1 6 8 0 0
73.5 0 0 0 0 1 0 13 10 0 0
73.0 0 0 0 0 0 1 15 6 0 0
72.5 0 0 0 0 0 1 13 6 0 0
72.0 0 0 0 0 0 1 14 11 0 0
71.5 0 0 0 0 0 1 7 2 0 0
71.0 0 0 0 0 0 1 11 12 0 0
70.5 0 0 0 0 0 0 8 9 0 0
70.0 0 0 0 0 0 1 8 3 0 0
69.5 0 0 0 0 0 0 12 4 0 0
69.0 0 0 0 0 0 1 16 6 0 0
68.5 0 0 0 0 0 4 10 10 0 0
68.0 0 0 0 0 0 0 7 6 0 0
67.5 0 0 0 0 0 0 4 8 0 1
67.0 0 0 0 0 0 1 8 12 0 1
66.5 0 0 0 0 0 0 6 8 1 2
66.0 0 0 0 0 1 0 10 8 0 0
65.5 0 0 0 0 0 1 10 6 0 0
65.0 0 0 0 0 0 0 9 7 0 0
64.5 0 0 0 0 0 0 8 2 1 0
64.0 0 0 0 0 0 0 5 5 0 0
63.5 0 0 0 0 0 0 11 2 0 0
63.0 0 0 0 0 0 0 5 4 0 0
62.5 0 0 0 0 0 1 15 3 0 1
62.0 0 0 0 0 0 0 4 5 0 0
61.5 0 0 0 0 0 0 15 3 0 0
61.0 0 0 0 0 0 0 7 5 0 0
60.5 0 0 0 0 0 0 6 3 0 0
60.0 0 0 0 0 0 0 11 5 0 0
59.5 0 0 0 0 0 1 5 2 0 0
59.0 0 0 0 0 0 1 5 7 0 0
58.5 0 0 0 0 0 0 5 2 0 0
58.0 0 0 0 0 0 0 2 1 0 0
57.5 0 0 0 0 0 0 4 6 0 0
57.0 0 0 0 0 0 0 5 4 0 0
56.5 0 0 0 0 0 0 5 2 0 0
56.0 0 0 0 0 0 0 3 0 0 0
55.5 0 0 0 0 0 0 3 2 0 0
55.0 0 0 0 0 0 0 3 3 0 0
54.5 0 0 0 0 0 0 5 1 0 0
54.0 0 0 0 0 0 1 12 5 0 0
53.5 0 0 0 0 0 0 1 3 0 0
53.0 0 0 0 0 0 0 3 4 0 0
52.5 0 0 0 0 0 0 5 0 0 0
52.0 0 0 0 0 0 0 3 2 0 0
51.5 0 0 0 0 0 0 1 2 0 0
51.0 0 0 0 0 0 0 4 3 0 0
50.5 0 0 0 0 0 0 5 1 0 0
50.0 0 0 0 0 0 1 4 2 0 0
49.5 0 0 0 0 0 0 1 1 0 0
49.0 0 0 0 0 0 0 2 0 0 0
48.5 0 0 0 0 0 0 0 1 0 0
48.0 0 0 0 0 0 1 4 4 0 1
47.5 0 0 0 0 0 0 3 0 0 0
47.0 0 0 0 0 0 0 3 0 0 0
46.5 0 0 0 0 0 0 3 1 0 0
46.0 0 0 0 0 0 0 2 2 0 0
45.5 0 0 0 0 0 0 1 0 0 0
45.0 0 0 0 0 0 0 4 1 0 0
44.5 0 0 0 0 0 0 1 1 0 0
44.0 0 0 0 0 0 0 1 0 0 0
43.5 0 0 0 0 0 0 1 0 0 0
43.0 0 0 0 0 0 0 2 1 0 0
42.5 0 0 0 0 0 0 0 1 0 0
42.0 0 0 0 0 0 0 7 5 0 0
41.5 0 0 0 0 0 0 1 0 0 0
41.0 0 0 0 0 0 0 1 2 0 0
40.5 0 0 0 0 0 0 1 1 0 0
40.0 0 0 0 0 0 0 1 1 0 0
39.5 0 0 0 0 0 0 3 0 0 0
39.0 0 0 0 0 0 0 2 1 0 0
38.5 0 0 0 0 0 0 0 0 0 0
38.0 0 0 0 0 0 0 1 0 0 0
37.5 0 0 0 0 0 0 1 1 0 0
37.0 0 0 0 0 0 0 1 0 0 0
36.5 0 0 0 0 0 0 0 0 0 0
36.0 0 0 0 0 0 0 4 2 1 1
35.5 0 0 0 0 0 0 1 0 0 0
35.0 0 0 0 0 0 0 1 0 0 0
34.5 0 0 0 0 0 0 1 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 1 1 0 0
32.5 0 0 0 0 1 0 0 0 0 0
32.0 0 0 0 0 0 0 0 1 0 0
31.5 0 0 0 0 0 0 0 0 0 0
31.0 0 0 0 0 0 0 1 0 0 0
30.5 0 0 0 0 0 0 0 0 0 0
30.0 0 0 0 0 0 0 4 1 0 0
29.5 0 0 0 0 0 0 0 2 0 0
29.0 0 0 0 0 0 0 0 0 0 0
28.5 0 0 0 0 0 0 0 0 0 0
28.0 0 0 0 0 0 0 0 0 0 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 1 0 0
25.0 0 0 0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0 0 0 0
24.0 0 0 0 0 0 0 1 2 0 0
23.5 0 0 0 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 0 0 0 0
22.5 0 0 0 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 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 1 1 0 0
17.5 0 0 0 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0 1 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 1 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 1 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 Massachusetts
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 0.33 1.25 0.58 6.36* 0.36 1.12 0.00
2 0.04 9.07* 0.11 0.65 0.01 0.11 0.00
3 0.27 2.55 0.28 5.70* 0.13 1.08 0.00
4 6.40* 0.15 0.19 2.56 0.03 0.67 0.00
5 0.18 0.07 0.11 0.14 8.72* 0.77 0.00
6 0.91 2.17 4.83* 0.43 0.44 1.21 0.00
7 1.72 3.27* 0.79 1.53 0.23 2.46 0.00
8 0.48 0.19 0.18 0.18 8.44* 0.52 0.00
9 0.38 0.68 1.38 3.89* 0.15 3.52 0.00
10 0.47 0.75 0.37 4.35* 0.16 3.89 0.00
11 0.76 0.64 2.54* 0.38 0.62 5.06 0.00
12 0.11 0.22 0.41 0.37 7.00* 1.89 0.00
13 0.32 0.34 0.66 1.21 4.99* 2.49 0.00
14 0.72 0.36 0.47 5.85* 0.66 1.94 0.00
15 0.29 0.34 1.30* 0.22 0.46 7.39 0.00
16 0.71 0.54 3.72* 0.37 0.92 3.74 0.00
17 0.66 1.35* 0.33 0.67 0.20 6.79 0.00
18 0.18 0.65* 0.21 0.21 0.22 8.52 0.00
19 0.48 0.59 1.02 1.61* 0.56 5.74 0.00
20 0.55* 0.28 0.72 1.03 0.16 7.28 0.00
21 0.98 0.33 0.28 0.79* 1.26 6.35 0.00
22 0.56 0.56 0.40* 0.51 0.22 7.74 0.00
23 0.21 0.41* 0.25 0.23 0.18 8.72 0.00
24 0.16 1.96* 0.81 0.17 0.16 6.76 0.00
25 0.67 0.39 0.16* 0.06 1.34 7.38 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 Massachusetts
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 2 4
149.5 0 0 124.5 0 0 99.5 5 3
149.0 0 0 124.0 4 0 99.0 4 0
148.5 0 0 123.5 0 0 98.5 2 1
148.0 0 0 123.0 2 1 98.0 9 5
147.5 0 0 122.5 0 0 97.5 3 0
147.0 0 0 122.0 1 1 97.0 8 3
146.5 0 0 121.5 4 0 96.5 4 2
146.0 0 0 121.0 0 0 96.0 8 3
145.5 0 0 120.5 4 0 95.5 3 0
145.0 0 0 120.0 1 0 95.0 5 5
144.5 0 0 119.5 0 2 94.5 6 5
144.0 1 0 119.0 2 0 94.0 3 3
143.5 0 0 118.5 0 0 93.5 5 11
143.0 0 0 118.0 2 1 93.0 4 0
142.5 0 0 117.5 0 0 92.5 7 4
142.0 0 0 117.0 4 1 92.0 6 10
141.5 0 0 116.5 0 1 91.5 4 3
141.0 0 0 116.0 2 1 91.0 3 5
140.5 0 0 115.5 2 0 90.5 1 5
140.0 0 0 115.0 0 0 90.0 7 12
139.5 0 1 114.5 3 2 89.5 5 4
139.0 0 0 114.0 0 0 89.0 5 6
138.5 0 0 113.5 1 2 88.5 8 2
138.0 2 1 113.0 1 0 88.0 5 6
137.5 0 0 112.5 1 0 87.5 5 6
137.0 1 1 112.0 6 0 87.0 5 4
136.5 0 0 111.5 2 0 86.5 6 10
136.0 0 0 111.0 8 1 86.0 9 8
135.5 0 0 110.5 1 0 85.5 3 8
135.0 0 0 110.0 2 3 85.0 4 14
134.5 0 0 109.5 2 1 84.5 6 8
134.0 0 0 109.0 3 2 84.0 8 9
133.5 0 0 108.5 2 1 83.5 2 2
133.0 0 0 108.0 1 2 83.0 7 7
132.5 2 0 107.5 5 3 82.5 3 3
132.0 0 0 107.0 2 0 82.0 6 5
131.5 0 0 106.5 5 4 81.5 8 8
131.0 1 0 106.0 0 1 81.0 5 9
130.5 0 0 105.5 3 3 80.5 12 12
130.0 4 0 105.0 6 0 80.0 2 4
129.5 0 0 104.5 2 1 79.5 6 9
129.0 0 0 104.0 5 5 79.0 8 9
128.5 1 1 103.5 1 0 78.5 3 5
128.0 0 0 103.0 8 1 78.0 7 8
127.5 0 0 102.5 2 0 77.5 4 4
127.0 0 0 102.0 3 3 77.0 8 9
126.5 0 0 101.5 6 2 76.5 1 5
126.0 0 0 101.0 1 0 76.0 6 6
125.5 0 0 100.5 5 1 75.5 8 14
American Mathematics Competitions
2003 AMC 10 B Results for Massachusetts
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 3 50.0 1 2 25.0 0 0
74.5 6 11 49.5 0 2 24.5 0 0
74.0 1 11 49.0 1 1 24.0 0 0
73.5 5 10 48.5 1 2 23.5 1 0
73.0 3 6 48.0 2 3 23.0 0 0
72.5 6 7 47.5 0 2 22.5 0 0
72.0 4 10 47.0 0 2 22.0 0 0
71.5 2 3 46.5 0 0 21.5 0 0
71.0 5 8 46.0 1 0 21.0 0 0
70.5 3 8 45.5 1 1 20.5 0 0
70.0 6 5 45.0 0 0 20.0 0 0
69.5 4 6 44.5 0 2 19.5 0 1
69.0 2 3 44.0 2 0 19.0 0 0
68.5 8 8 43.5 0 0 18.5 0 0
68.0 4 5 43.0 0 1 18.0 1 0
67.5 3 8 42.5 1 1 17.5 0 0
67.0 4 4 42.0 3 1 17.0 0 0
66.5 2 7 41.5 0 2 16.5 0 0
66.0 6 1 41.0 1 0 16.0 0 0
65.5 3 6 40.5 0 0 15.5 0 0
65.0 3 4 40.0 0 1 15.0 0 0
64.5 3 6 39.5 0 0 14.5 0 0
64.0 3 4 39.0 0 0 14.0 0 0
63.5 1 6 38.5 1 1 13.5 0 0
63.0 4 4 38.0 0 0 13.0 0 0
62.5 4 2 37.5 0 0 12.5 0 0
62.0 1 1 37.0 0 0 12.0 0 0
61.5 3 3 36.5 0 2 11.5 0 0
61.0 6 6 36.0 2 1 11.0 0 0
60.5 1 5 35.5 0 0 10.5 0 0
60.0 4 3 35.0 0 0 10.0 0 0
59.5 0 1 34.5 0 0 9.5 0 0
59.0 3 2 34.0 0 0 9.0 0 0
58.5 2 4 33.5 0 0 8.5 0 0
58.0 2 4 33.0 0 0 8.0 0 0
57.5 1 2 32.5 0 0 7.5 0 0
57.0 2 1 32.0 0 0 7.0 0 0
56.5 0 4 31.5 0 1 6.5 0 0
56.0 2 0 31.0 0 0 6.0 0 0
55.5 1 2 30.5 0 0 5.5 0 0
55.0 2 1 30.0 1 0 5.0 0 0
54.5 1 2 29.5 0 0 4.5 0 0
54.0 1 0 29.0 0 0 4.0 0 0
53.5 3 1 28.5 0 0 3.5 0 0
53.0 0 2 28.0 1 0 3.0 0 0
52.5 3 2 27.5 0 0 2.5 0 0
52.0 2 0 27.0 0 1 2.0 0 0
51.5 0 2 26.5 0 0 1.5 0 0
51.0 0 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 B Results for Massachusetts
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 unknown
---------------------------
150.0 0 0 0 0 0 0 0
149.5 0 0 0 0 0 0 0
149.0 0 0 0 0 0 0 0
148.5 0 0 0 0 0 0 0
148.0 0 0 0 0 0 0 0
147.5 0 0 0 0 0 0 0
147.0 0 0 0 0 0 0 0
146.5 0 0 0 0 0 0 0
146.0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0
144.0 0 0 0 0 0 1 0
143.5 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0
140.5 0 0 0 0 0 0 0
140.0 0 0 0 0 0 0 0
139.5 0 0 0 0 1 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 1 2 0
137.5 0 0 0 0 0 0 0
137.0 0 0 0 0 0 2 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 1 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 1 2 1
129.5 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 1 1
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 1 0
124.5 0 0 0 0 0 0 0
124.0 0 0 1 0 2 2 0
123.5 0 0 0 0 0 0 0
123.0 0 0 0 0 1 2 0
122.5 0 0 0 0 0 0 0
122.0 0 0 0 0 1 0 1
121.5 0 0 0 0 1 3 0
121.0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 4 0
120.0 0 0 0 0 1 0 0
119.5 0 0 0 0 0 2 0
119.0 0 0 0 0 0 2 0
118.5 0 0 0 0 0 0 0
118.0 0 0 0 0 1 2 0
117.5 0 0 0 0 0 0 0
117.0 0 0 0 0 0 2 3
116.5 0 0 0 0 1 0 0
116.0 0 0 0 0 2 0 1
115.5 0 0 0 0 0 2 0
115.0 0 0 0 0 0 0 0
114.5 0 0 0 1 1 3 0
114.0 0 0 0 0 0 0 0
113.5 0 0 0 0 1 1 1
113.0 0 0 0 0 0 1 0
112.5 0 0 0 0 0 1 1
112.0 0 0 0 0 2 4 1
111.5 0 0 0 0 0 2 0
111.0 0 0 0 0 3 4 2
110.5 0 0 0 0 1 0 0
110.0 0 0 0 0 1 2 2
109.5 0 0 0 0 0 3 0
109.0 0 0 0 0 4 1 0
108.5 0 0 0 0 0 3 0
108.0 0 0 0 0 3 0 0
107.5 0 0 0 1 4 3 1
107.0 0 0 0 0 1 1 0
106.5 0 0 0 0 3 6 0
106.0 0 0 0 0 1 0 0
105.5 0 0 0 0 2 3 1
105.0 0 0 0 1 0 5 1
104.5 0 0 0 0 1 2 0
104.0 0 0 0 0 4 4 2
103.5 0 0 0 0 0 1 0
103.0 0 0 0 1 2 5 1
102.5 0 0 0 0 0 1 2
102.0 0 0 0 0 2 3 1
101.5 0 0 0 0 6 3 0
101.0 0 0 0 0 1 0 0
100.5 0 0 0 0 1 5 1
100.0 0 0 0 2 2 1 1
99.5 0 0 0 0 2 6 0
99.0 0 0 0 0 1 2 1
98.5 0 0 0 0 2 1 0
98.0 0 0 0 0 5 8 2
97.5 0 0 0 0 0 3 0
97.0 0 0 0 0 7 3 1
96.5 0 0 0 0 2 3 2
96.0 0 0 0 0 5 4 2
95.5 0 0 0 0 1 1 1
95.0 0 0 0 0 5 3 2
94.5 0 0 0 0 1 10 0
94.0 0 0 0 1 0 4 1
93.5 0 0 0 0 6 11 1
93.0 0 0 0 0 1 3 0
92.5 0 0 0 0 6 5 0
92.0 0 1 0 0 7 6 2
91.5 0 0 0 0 2 5 1
91.0 0 0 0 0 2 6 0
90.5 0 0 0 0 3 3 0
90.0 0 0 0 0 8 10 1
89.5 0 0 0 0 5 3 2
89.0 0 0 0 0 4 7 0
88.5 0 0 0 0 8 3 2
88.0 0 0 0 0 6 6 0
87.5 0 0 0 0 5 8 2
87.0 0 0 0 1 2 5 1
86.5 0 0 0 1 6 8 3
86.0 0 0 0 1 8 7 1
85.5 0 0 0 0 8 3 1
85.0 0 0 0 0 8 8 2
84.5 0 0 0 0 4 8 2
84.0 0 0 1 0 7 8 1
83.5 0 0 0 0 1 1 2
83.0 0 0 0 0 7 7 1
82.5 0 0 0 0 2 4 0
82.0 0 0 0 0 7 5 0
81.5 0 0 0 0 6 9 2
81.0 0 0 0 0 5 9 1
80.5 0 0 0 0 8 14 2
80.0 0 0 0 0 1 5 0
79.5 0 0 0 0 10 5 1
79.0 0 0 0 0 5 11 1
78.5 0 1 0 1 1 6 1
78.0 0 0 0 0 5 10 0
77.5 0 0 0 0 4 3 1
77.0 0 0 0 0 6 11 0
76.5 0 0 0 0 3 3 1
76.0 0 0 0 0 6 7 0
75.5 0 0 0 0 14 9 0
75.0 0 0 1 0 3 3 0
74.5 0 0 0 0 9 7 2
74.0 0 0 0 0 3 9 0
73.5 0 0 0 0 9 6 0
73.0 0 0 0 0 4 4 1
72.5 0 0 0 0 6 7 0
72.0 0 0 0 0 9 6 0
71.5 0 0 0 0 3 1 1
71.0 0 0 0 0 7 6 0
70.5 0 0 0 0 8 3 0
70.0 0 0 0 0 4 6 1
69.5 0 0 0 0 4 6 0
69.0 0 0 0 0 4 1 0
68.5 0 0 0 0 4 12 0
68.0 0 0 0 1 4 4 0
67.5 0 0 0 0 4 7 0
67.0 0 0 0 1 2 7 0
66.5 0 0 0 0 3 7 0
66.0 0 0 0 0 3 4 0
65.5 0 0 1 0 5 4 0
65.0 0 0 0 0 4 3 0
64.5 0 0 0 0 4 5 0
64.0 0 0 0 1 4 3 1
63.5 0 0 0 0 7 0 0
63.0 0 0 0 0 4 4 0
62.5 0 0 1 0 1 4 0
62.0 0 0 0 0 3 0 0
61.5 0 0 0 0 4 2 0
61.0 0 0 0 0 8 4 0
60.5 0 0 0 0 2 3 1
60.0 0 0 0 0 3 4 0
59.5 0 0 0 0 1 0 0
59.0 0 0 0 1 4 0 0
58.5 0 0 0 0 2 4 0
58.0 0 0 0 0 2 3 1
57.5 0 0 0 0 2 1 0
57.0 0 0 0 0 2 1 1
56.5 0 0 0 0 3 1 0
56.0 0 0 0 0 1 1 0
55.5 0 0 0 0 3 0 0
55.0 0 0 0 0 1 2 0
54.5 0 0 0 0 3 2 0
54.0 0 0 0 0 0 1 0
53.5 0 0 0 0 3 1 0
53.0 0 0 0 0 0 2 0
52.5 0 0 0 0 1 4 0
52.0 0 0 0 0 0 2 0
51.5 0 0 0 0 2 0 0
51.0 0 0 0 0 0 1 0
50.5 0 0 0 0 1 1 0
50.0 0 0 0 0 2 1 0
49.5 0 0 0 0 2 0 0
49.0 0 0 0 0 1 1 0
48.5 0 1 0 0 0 2 0
48.0 0 0 0 0 2 3 0
47.5 0 0 0 0 2 0 0
47.0 0 0 0 0 1 1 0
46.5 0 0 0 0 0 0 0
46.0 0 0 0 0 1 0 0
45.5 0 0 0 0 1 1 0
45.0 0 0 0 0 0 0 0
44.5 0 0 0 0 0 2 0
44.0 0 0 0 0 1 1 0
43.5 0 0 0 0 1 0 0
43.0 0 0 0 0 1 0 0
42.5 0 0 0 0 1 1 0
42.0 0 0 0 0 1 3 0
41.5 0 0 0 0 0 2 0
41.0 0 0 0 0 1 0 0
40.5 0 0 0 0 0 0 0
40.0 0 0 0 0 0 1 0
39.5 0 0 0 0 0 0 0
39.0 0 0 0 0 0 0 0
38.5 0 0 0 0 1 1 0
38.0 0 0 0 0 0 0 0
37.5 0 0 0 0 0 0 0
37.0 0 0 0 0 0 0 0
36.5 0 0 0 0 2 0 0
36.0 0 0 0 1 0 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 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 1 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 0
29.5 0 0 0 0 0 0 0
29.0 0 0 0 0 0 0 0
28.5 0 0 0 0 0 0 0
28.0 0 0 0 0 1 0 0
27.5 0 0 0 0 0 0 0
27.0 0 0 0 0 0 1 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 1 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 1 0
19.0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0
18.0 0 0 0 0 0 1 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 Massachusetts
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 0.01 0.12 9.73* 0.06 0.04 0.04 0.00
2 0.01 0.09 1.24 8.10* 0.31 0.26 0.00
3 0.33 7.31* 0.54 0.64 0.07 1.11 0.00
4 8.70* 0.25 0.23 0.06 0.20 0.57 0.00
5 0.27 0.35 4.12* 0.81 1.39 3.06 0.00
6 1.10 1.68 0.43 3.70* 0.53 2.57 0.00
7 0.31 5.92* 0.27 0.82 0.21 2.47 0.00
8 0.25 1.49* 0.37 0.66 0.41 6.83 0.00
9 0.19 2.98* 0.27 0.28 0.28 5.99 0.01
10 0.28 0.46 3.89* 1.10 0.35 3.93 0.00
11 5.63* 0.43 0.33 0.18 1.05 2.38 0.00
12 0.37 0.37 6.50* 0.17 0.26 2.32 0.00
13 2.39 0.56 0.25 0.91 1.71* 4.18 0.00
14 0.94 0.26 0.24 3.49* 0.09 4.97 0.00
15 1.55 2.21 0.23 0.77 3.11* 2.12 0.01
16 0.26 0.17 0.43 0.48 5.43* 3.24 0.00
17 0.19 1.76* 0.65 0.25 0.20 6.96 0.00
18 0.41 1.54 0.24 1.70* 1.68 4.44 0.00
19 0.20 0.29 0.32 0.42 0.46* 8.32 0.00
20 0.28 0.28 0.29 2.14* 1.24 5.77 0.00
21 1.59 0.30 0.47* 1.39 0.37 5.88 0.00
22 1.49 2.41* 1.76 0.61 0.38 3.34 0.01
23 0.33 0.20 0.41 1.25* 0.26 7.56 0.00
24 0.09 0.11 1.66 0.06 0.09* 7.98 0.00
25 1.05 2.65* 0.82 0.23 0.25 5.00 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 Massachusetts
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 0 0 100.0 0 0
149.5 0 0 124.5 0 0 99.5 5 3
149.0 0 0 124.0 0 0 99.0 1 0
148.5 0 0 123.5 0 0 98.5 2 3
148.0 0 0 123.0 1 0 98.0 2 0
147.5 0 0 122.5 1 0 97.5 0 1
147.0 0 0 122.0 1 0 97.0 4 0
146.5 0 0 121.5 0 0 96.5 0 1
146.0 0 0 121.0 0 0 96.0 6 2
145.5 0 0 120.5 3 0 95.5 2 0
145.0 0 0 120.0 0 0 95.0 11 1
144.5 0 0 119.5 1 0 94.5 7 0
144.0 1 0 119.0 0 0 94.0 0 1
143.5 0 0 118.5 3 0 93.5 4 1
143.0 0 0 118.0 1 0 93.0 0 0
142.5 0 0 117.5 0 0 92.5 5 8
142.0 0 0 117.0 2 0 92.0 1 0
141.5 0 0 116.5 0 0 91.5 2 5
141.0 0 0 116.0 4 1 91.0 6 1
140.5 0 0 115.5 1 0 90.5 1 0
140.0 0 0 115.0 1 0 90.0 8 3
139.5 1 0 114.5 0 0 89.5 4 0
139.0 0 0 114.0 0 0 89.0 12 11
138.5 0 0 113.5 6 1 88.5 1 1
138.0 0 0 113.0 0 0 88.0 4 2
137.5 0 0 112.5 2 3 87.5 9 4
137.0 2 0 112.0 0 0 87.0 0 3
136.5 0 0 111.5 2 0 86.5 7 7
136.0 0 0 111.0 1 1 86.0 1 0
135.5 0 0 110.5 0 0 85.5 6 3
135.0 0 0 110.0 5 1 85.0 2 2
134.5 1 0 109.5 1 0 84.5 2 4
134.0 0 0 109.0 1 0 84.0 9 9
133.5 2 0 108.5 0 1 83.5 2 0
133.0 0 0 108.0 0 3 83.0 9 8
132.5 1 0 107.5 1 0 82.5 6 2
132.0 1 0 107.0 0 0 82.0 3 7
131.5 0 0 106.5 9 1 81.5 6 5
131.0 2 0 106.0 0 0 81.0 2 4
130.5 0 0 105.5 1 0 80.5 8 9
130.0 0 0 105.0 1 0 80.0 0 1
129.5 0 0 104.5 3 0 79.5 6 10
129.0 0 0 104.0 1 1 79.0 4 1
128.5 0 1 103.5 0 0 78.5 5 1
128.0 0 0 103.0 3 3 78.0 7 8
127.5 0 0 102.5 0 0 77.5 1 2
127.0 0 0 102.0 2 1 77.0 16 10
126.5 1 0 101.5 1 0 76.5 2 2
126.0 1 0 101.0 2 0 76.0 9 7
125.5 2 0 100.5 5 0 75.5 8 2
American Mathematics Competitions
2003 AMC 12 B Results for Massachusetts
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 7 50.0 0 1 25.0 0 0
74.5 4 4 49.5 4 1 24.5 0 0
74.0 3 4 49.0 3 3 24.0 0 1
73.5 10 12 48.5 1 1 23.5 0 0
73.0 2 4 48.0 3 3 23.0 0 0
72.5 3 5 47.5 0 2 22.5 0 0
72.0 7 8 47.0 1 2 22.0 0 0
71.5 1 3 46.5 0 1 21.5 0 0
71.0 11 8 46.0 0 1 21.0 0 0
70.5 5 0 45.5 0 0 20.5 0 0
70.0 4 5 45.0 1 0 20.0 0 0
69.5 1 4 44.5 0 0 19.5 0 0
69.0 2 4 44.0 0 1 19.0 0 0
68.5 4 3 43.5 0 0 18.5 0 0
68.0 4 5 43.0 1 0 18.0 0 1
67.5 1 9 42.5 1 1 17.5 0 0
67.0 2 3 42.0 3 1 17.0 0 0
66.5 5 5 41.5 0 2 16.5 0 0
66.0 4 5 41.0 0 0 16.0 0 0
65.5 0 4 40.5 0 0 15.5 0 0
65.0 10 6 40.0 1 1 15.0 0 0
64.5 2 6 39.5 0 0 14.5 0 0
64.0 3 3 39.0 0 2 14.0 0 0
63.5 5 7 38.5 0 0 13.5 0 0
63.0 2 4 38.0 0 0 13.0 0 0
62.5 3 11 37.5 0 0 12.5 0 0
62.0 2 2 37.0 0 0 12.0 0 0
61.5 4 5 36.5 0 0 11.5 0 0
61.0 0 5 36.0 3 1 11.0 0 0
60.5 3 3 35.5 0 0 10.5 0 0
60.0 4 5 35.0 0 1 10.0 0 0
59.5 1 2 34.5 0 0 9.5 0 0
59.0 1 9 34.0 0 2 9.0 0 0
58.5 1 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 2 32.0 0 0 7.0 0 0
56.5 1 3 31.5 0 0 6.5 0 0
56.0 0 0 31.0 0 0 6.0 0 0
55.5 1 4 30.5 0 2 5.5 0 0
55.0 0 3 30.0 1 1 5.0 0 0
54.5 2 3 29.5 0 0 4.5 0 0
54.0 1 5 29.0 0 0 4.0 0 0
53.5 0 0 28.5 0 0 3.5 0 0
53.0 1 1 28.0 0 0 3.0 0 0
52.5 1 2 27.5 0 0 2.5 0 0
52.0 0 3 27.0 0 0 2.0 0 0
51.5 0 1 26.5 0 0 1.5 0 0
51.0 1 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 Massachusetts
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 1 0 0
143.5 0 0 0 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0 0 0 0
140.5 0 0 0 0 0 0 0 0 0 0
140.0 0 0 0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 0 0 1 0 0
139.0 0 0 0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0 0 0 0
138.0 0 0 0 0 0 0 0 0 0 0
137.5 0 0 0 0 0 0 0 0 0 0
137.0 0 0 0 0 1 0 0 1 0 0
136.5 0 0 0 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 0 0 0 0
135.5 0 0 0 0 0 0 0 0 0 0
135.0 0 0 0 0 0 0 0 0 0 0
134.5 0 0 0 0 0 1 0 0 0 0
134.0 0 0 0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 1 1 0 0 0
133.0 0 0 0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0 1 0 0
132.0 0 0 0 0 0 1 0 0 0 0
131.5 0 0 0 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 1 1 0 0
130.5 0 0 0 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0 0 0 0
129.5 0 0 0 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 0 1 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 1 0 0 0
126.0 0 0 0 0 0 0 0 1 0 0
125.5 0 0 0 0 0 0 1 1 0 0
125.0 0 0 0 0 0 0 0 0 0 0
124.5 0 0 0 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 0 0 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0 1 0 0
122.5 0 0 0 0 0 0 1 0 0 0
122.0 0 0 0 0 0 1 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 3 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 0 0 1 0 0
119.0 0 0 0 0 0 0 0 0 0 0
118.5 0 0 0 0 0 0 2 1 0 0
118.0 0 0 0 0 0 0 0 2 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 1 0 1 0 0
116.5 0 0 0 0 0 0 0 0 0 0
116.0 0 0 0 0 0 1 2 2 0 0
115.5 0 0 0 0 0 1 0 0 0 0
115.0 0 0 0 0 0 0 0 1 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 1 1 5 0 0
113.0 0 0 0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 0 2 3 0 0
112.0 0 0 0 0 0 0 0 0 0 0
111.5 0 0 0 0 0 0 1 1 0 0
111.0 0 0 0 0 0 0 2 0 0 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 4 2 0 0
109.5 0 0 0 0 0 0 1 0 0 0
109.0 0 0 0 0 0 0 0 1 0 0
108.5 0 0 0 0 0 0 0 1 0 0
108.0 0 0 0 0 0 0 0 4 0 0
107.5 0 0 0 0 0 1 0 0 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 2 5 3 0 0
106.0 0 0 0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 0 1 0 0 0
105.0 0 0 0 0 0 0 1 0 0 0
104.5 0 0 0 0 0 0 2 1 0 0
104.0 0 0 0 0 0 0 1 1 0 0
103.5 0 0 0 0 0 0 0 0 0 0
103.0 0 0 0 0 0 1 2 3 0 0
102.5 0 0 0 0 0 0 0 0 0 0
102.0 0 0 0 0 0 0 1 2 0 0
101.5 0 0 0 0 0 0 0 1 0 0
101.0 0 0 0 0 1 0 0 1 0 0
100.5 0 0 0 0 0 1 3 1 0 0
100.0 0 0 0 0 0 0 0 0 0 0
99.5 0 0 0 0 0 0 2 6 0 0
99.0 0 0 0 0 0 1 0 0 0 0
98.5 0 0 0 0 0 0 2