American Mathematics Competitions
2003 AMC 10 A Results for Washington
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1508
Number of unofficial participants: 0
Average score of participants: 72.4
Average score for female students is: 69.6 ( 666 Students)
Average score for male students is: 75.2 ( 724 Students)
Average score for unspecified gender is 70.6 ( 118 Students)
Average score for grade 10 is: 72.4 ( 855 Students)
Average score for grade 9 is: 71.9 ( 520 Students)
Average score for grade 8 and below is: 77.9 ( 65 Students)
Average score with unknown grade: 70.6 ( 68 Students)
AIME qualifying score = 119.0 or better
Number of AIME qualifers 10
Number of schools returning results 54
Average school winning score 103.80
American Mathematics Competitions
2003 AMC 12 A Results for Washington
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2253
Number of unofficial participants: 0
Average score of participants: 75.0
Average score for female students is: 71.4 ( 886 Students)
Average score for male students is: 77.9 ( 1232 Students)
Average score for unspecified gender is 72.4 ( 135 Students)
Average score for grade 12 is: 76.7 ( 884 Students)
Average score for grade 11 is: 73.7 ( 1070 Students)
Average score for grade 10 is: 76.6 ( 138 Students)
Average score for grade 9 is: 74.8 ( 74 Students)
Average score for grade 8 and below is: 65.0 ( 2 Students)
Average score with unknown grade: 72.2 ( 85 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 171
Number of schools returning results 62
Average school winning score 109.14
Average school team score 300.68
American Mathematics Competitions
2003 AMC 10 B Results for Washington
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 671
Number of unofficial participants: 0
Average score of participants: 80.3
Average score for female students is: 76.3 ( 313 Students)
Average score for male students is: 84.5 ( 302 Students)
Average score for unspecified gender is 79.7 ( 56 Students)
Average score for grade 10 is: 81.2 ( 342 Students)
Average score for grade 9 is: 78.5 ( 284 Students)
Average score for grade 8 and below is: 97.3 ( 14 Students)
Average score with unknown grade: 78.5 ( 31 Students)
AIME qualifying score = 121.0 or better
Number of AIME qualifers 11
Number of schools returning results 27
Average school winning score 111.67
American Mathematics Competitions
2003 AMC 12 B Results for Washington
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1009
Number of unofficial participants: 0
Average score of participants: 76.2
Average score for female students is: 71.5 ( 423 Students)
Average score for male students is: 79.9 ( 557 Students)
Average score for unspecified gender is 71.9 ( 29 Students)
Average score for grade 13 is: 75.3 ( 2 Students)
Average score for grade 12 is: 77.8 ( 381 Students)
Average score for grade 11 is: 73.8 ( 493 Students)
Average score for grade 10 is: 82.0 ( 72 Students)
Average score for grade 9 is: 80.4 ( 50 Students)
Average score with unknown grade: 69.8 ( 11 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 87
Number of schools returning results 32
Average school winning score 108.75
Average school team score 304.08
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 1
146.0 0 0 0 0
145.5 0 0 0 0
145.0 0 0 0 0
144.5 0 0 0 0
144.0 1 1 0 0
143.5 0 0 0 0
143.0 0 1 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 2 0 0
140.0 0 0 0 0
139.5 2 0 0 0
139.0 0 0 0 0
138.5 0 0 0 0
138.0 1 0 3 0
137.5 0 0 0 0
137.0 0 2 0 1
136.5 0 0 0 0
136.0 0 1 0 0
135.5 0 0 0 0
135.0 0 0 0 0
134.5 0 0 0 0
134.0 0 0 0 0
133.5 0 1 0 1
133.0 0 0 0 0
132.5 0 0 0 0
132.0 0 1 0 2
131.5 0 0 0 0
131.0 0 1 1 0
130.5 0 0 0 0
130.0 0 1 0 0
129.5 0 0 0 0
129.0 1 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 1 0
126.0 0 0 0 0
125.5 0 0 1 0
125.0 0 1 0 1
124.5 0 0 0 0
124.0 4 2 0 4
123.5 0 0 0 0
123.0 1 1 2 0
122.5 0 0 0 0
122.0 3 0 0 0
121.5 0 2 0 1
121.0 0 0 0 0
120.5 1 2 0 1
120.0 0 0 0 1
119.5 2 3 1 0
119.0 0 0 1 1
118.5 4 0 1 0
118.0 1 2 2 3
117.5 0 0 0 0
117.0 3 2 1 1
116.5 0 2 0 0
116.0 3 0 0 2
115.5 1 0 0 1
115.0 1 1 0 0
114.5 1 1 1 1
114.0 0 0 0 0
113.5 2 3 5 1
113.0 0 0 1 2
112.5 10 2 1 2
112.0 0 0 2 1
111.5 1 1 0 0
111.0 4 2 1 3
110.5 0 0 0 0
110.0 8 3 6 5
109.5 0 1 1 3
109.0 3 5 2 8
108.5 2 2 1 0
108.0 9 0 3 0
107.5 6 2 1 0
107.0 0 0 0 0
106.5 13 3 6 2
106.0 2 0 0 1
105.5 3 6 7 2
105.0 3 0 3 3
104.5 8 3 0 1
104.0 10 4 7 1
103.5 1 0 2 2
103.0 12 3 7 4
102.5 1 0 2 2
102.0 13 8 2 3
101.5 2 2 2 4
101.0 6 1 1 1
100.5 17 6 6 2
100.0 2 0 1 2
99.5 15 4 10 7
99.0 3 1 6 1
98.5 21 7 6 4
98.0 12 3 16 5
97.5 2 2 2 4
97.0 17 9 10 6
96.5 3 0 4 3
96.0 20 15 6 15
95.5 10 2 4 3
95.0 21 5 4 6
94.5 10 9 6 5
94.0 6 2 5 0
93.5 19 8 8 6
93.0 4 2 1 1
92.5 26 9 6 9
92.0 15 4 12 6
91.5 15 2 4 3
91.0 18 4 12 12
90.5 6 2 4 5
90.0 27 11 13 7
89.5 10 1 6 2
89.0 22 12 10 10
88.5 10 3 14 9
88.0 11 5 5 4
87.5 21 14 14 7
87.0 5 1 8 7
86.5 22 11 15 9
86.0 11 4 9 7
85.5 23 12 9 2
85.0 16 5 16 5
84.5 25 4 11 9
84.0 39 13 22 7
83.5 14 3 10 8
83.0 31 24 8 8
82.5 16 12 14 9
82.0 15 15 13 11
81.5 27 12 24 11
81.0 23 5 9 5
80.5 36 18 18 10
80.0 18 4 10 7
79.5 30 13 19 10
79.0 24 8 14 2
78.5 22 9 15 13
78.0 33 11 20 8
77.5 26 11 12 9
77.0 56 22 23 13
76.5 25 9 20 4
76.0 32 17 15 11
75.5 25 10 15 7
75.0 27 21 8 11
74.5 23 16 23 5
74.0 25 6 14 8
73.5 30 21 24 10
73.0 19 10 23 6
72.5 23 14 19 7
72.0 35 9 16 8
71.5 22 12 18 8
71.0 37 23 26 15
70.5 19 11 15 7
70.0 25 20 17 5
69.5 26 7 18 10
69.0 26 12 25 4
68.5 25 23 23 9
68.0 28 10 14 8
67.5 28 20 23 4
67.0 31 8 21 5
66.5 25 19 20 7
66.0 29 11 22 9
65.5 21 13 15 6
65.0 19 22 22 3
64.5 21 11 15 1
64.0 38 11 14 5
63.5 21 5 18 2
63.0 20 12 10 5
62.5 21 11 15 6
62.0 14 6 15 5
61.5 19 5 21 2
61.0 20 7 13 2
60.5 14 6 20 0
60.0 21 6 23 4
59.5 12 8 13 1
59.0 19 7 10 3
58.5 21 3 11 6
58.0 13 7 14 6
57.5 21 11 12 4
57.0 10 2 11 4
56.5 16 10 10 3
56.0 16 5 10 2
55.5 11 8 11 1
55.0 13 2 8 2
54.5 9 2 11 3
54.0 16 7 8 5
53.5 8 4 11 3
53.0 8 5 10 2
52.5 11 4 4 0
52.0 11 2 9 0
51.5 12 6 6 0
51.0 7 4 5 2
50.5 12 2 6 1
50.0 12 4 8 2
49.5 6 3 8 0
49.0 6 1 4 0
48.5 6 1 3 1
48.0 8 4 7 2
47.5 5 0 8 1
47.0 6 2 5 0
46.5 6 2 5 0
46.0 2 3 5 2
45.5 6 2 3 0
45.0 3 3 4 1
44.5 6 1 2 0
44.0 4 0 4 2
43.5 5 0 7 0
43.0 4 0 1 1
42.5 1 2 4 1
42.0 10 4 8 6
41.5 5 2 2 0
41.0 2 1 2 2
40.5 1 1 2 0
40.0 5 1 3 1
39.5 1 1 0 0
39.0 3 0 1 0
38.5 2 0 5 0
38.0 1 0 1 0
37.5 1 0 0 0
37.0 2 2 0 0
36.5 1 0 1 0
36.0 5 0 6 0
35.5 1 0 2 0
35.0 1 0 0 0
34.5 0 1 0 0
34.0 2 0 0 0
33.5 0 0 1 0
33.0 0 0 3 0
32.5 1 0 2 1
32.0 0 0 0 0
31.5 0 0 0 1
31.0 0 0 2 0
30.5 1 2 2 0
30.0 4 1 1 1
29.5 2 0 0 0
29.0 1 1 2 1
28.5 0 0 1 0
28.0 2 0 1 0
27.5 0 0 0 0
27.0 0 0 0 0
26.5 0 0 1 0
26.0 0 0 1 0
25.5 1 0 0 0
25.0 0 0 0 0
24.5 0 0 0 0
24.0 2 0 4 0
23.5 0 0 2 0
23.0 0 0 0 0
22.5 0 0 0 0
22.0 0 0 0 1
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 2 0 0 0
19.0 0 0 0 0
18.5 0 0 0 0
18.0 1 0 1 0
17.5 0 0 0 0
17.0 0 0 1 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 2 0 0 0
11.5 0 0 0 0
11.0 0 1 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 1 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 Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 0 0 100.0 1 0
149.5 0 0 124.5 0 0 99.5 7 2
149.0 0 0 124.0 0 0 99.0 5 1
148.5 0 0 123.5 0 0 98.5 2 3
148.0 0 0 123.0 1 1 98.0 9 7
147.5 0 0 122.5 0 0 97.5 1 0
147.0 0 0 122.0 0 0 97.0 5 5
146.5 0 0 121.5 0 0 96.5 3 1
146.0 0 0 121.0 0 0 96.0 4 2
145.5 0 0 120.5 0 0 95.5 3 0
145.0 0 0 120.0 0 0 95.0 2 2
144.5 0 0 119.5 1 0 94.5 4 2
144.0 0 0 119.0 1 0 94.0 4 1
143.5 0 0 118.5 1 0 93.5 5 2
143.0 0 0 118.0 2 0 93.0 1 0
142.5 0 0 117.5 0 0 92.5 3 2
142.0 0 0 117.0 1 0 92.0 11 1
141.5 0 0 116.5 0 0 91.5 0 4
141.0 0 0 116.0 0 0 91.0 5 6
140.5 0 0 115.5 0 0 90.5 3 0
140.0 0 0 115.0 0 0 90.0 9 3
139.5 0 0 114.5 0 0 89.5 4 1
139.0 0 0 114.0 0 0 89.0 4 4
138.5 0 0 113.5 4 1 88.5 10 4
138.0 3 0 113.0 1 0 88.0 2 2
137.5 0 0 112.5 0 1 87.5 11 2
137.0 0 0 112.0 2 0 87.0 4 4
136.5 0 0 111.5 0 0 86.5 9 4
136.0 0 0 111.0 1 0 86.0 6 2
135.5 0 0 110.5 0 0 85.5 6 3
135.0 0 0 110.0 4 2 85.0 9 7
134.5 0 0 109.5 1 0 84.5 5 5
134.0 0 0 109.0 2 0 84.0 10 12
133.5 0 0 108.5 1 0 83.5 5 4
133.0 0 0 108.0 2 1 83.0 4 4
132.5 0 0 107.5 1 0 82.5 9 4
132.0 0 0 107.0 0 0 82.0 10 2
131.5 0 0 106.5 4 2 81.5 12 10
131.0 1 0 106.0 0 0 81.0 5 3
130.5 0 0 105.5 6 1 80.5 9 7
130.0 0 0 105.0 3 0 80.0 6 2
129.5 0 0 104.5 0 0 79.5 4 11
129.0 0 0 104.0 5 2 79.0 7 6
128.5 0 0 103.5 2 0 78.5 7 8
128.0 0 0 103.0 2 5 78.0 5 14
127.5 0 0 102.5 1 1 77.5 7 4
127.0 0 0 102.0 1 1 77.0 10 11
126.5 1 0 101.5 0 1 76.5 11 9
126.0 0 0 101.0 0 0 76.0 5 9
125.5 1 0 100.5 4 2 75.5 8 5
American Mathematics Competitions
2003 AMC 10 A Results for Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 5 50.0 3 5 25.0 0 0
74.5 9 13 49.5 7 1 24.5 0 0
74.0 7 6 49.0 2 2 24.0 0 3
73.5 10 13 48.5 2 1 23.5 0 2
73.0 10 9 48.0 1 6 23.0 0 0
72.5 4 12 47.5 5 3 22.5 0 0
72.0 9 7 47.0 1 2 22.0 0 0
71.5 7 9 46.5 2 3 21.5 0 0
71.0 14 9 46.0 2 2 21.0 0 0
70.5 3 12 45.5 2 1 20.5 0 0
70.0 7 9 45.0 2 2 20.0 0 0
69.5 10 8 44.5 2 0 19.5 0 0
69.0 8 11 44.0 2 2 19.0 0 0
68.5 9 11 43.5 4 2 18.5 0 0
68.0 5 9 43.0 0 0 18.0 0 1
67.5 8 12 42.5 1 3 17.5 0 0
67.0 10 8 42.0 5 3 17.0 0 1
66.5 9 10 41.5 0 1 16.5 0 0
66.0 9 11 41.0 1 0 16.0 0 0
65.5 3 10 40.5 1 1 15.5 0 0
65.0 8 12 40.0 2 1 15.0 0 0
64.5 5 8 39.5 0 0 14.5 0 0
64.0 7 6 39.0 1 0 14.0 0 0
63.5 11 4 38.5 1 4 13.5 0 0
63.0 5 5 38.0 0 1 13.0 0 0
62.5 9 5 37.5 0 0 12.5 0 0
62.0 6 8 37.0 0 0 12.0 0 0
61.5 9 11 36.5 0 1 11.5 0 0
61.0 4 7 36.0 4 2 11.0 0 0
60.5 7 10 35.5 0 2 10.5 0 0
60.0 8 14 35.0 0 0 10.0 0 0
59.5 4 9 34.5 0 0 9.5 0 0
59.0 4 6 34.0 0 0 9.0 0 0
58.5 5 5 33.5 1 0 8.5 0 0
58.0 6 7 33.0 1 2 8.0 0 0
57.5 8 4 32.5 2 0 7.5 0 0
57.0 5 4 32.0 0 0 7.0 0 0
56.5 4 5 31.5 0 0 6.5 0 0
56.0 8 2 31.0 0 1 6.0 0 0
55.5 6 5 30.5 1 0 5.5 0 0
55.0 3 4 30.0 0 1 5.0 0 0
54.5 6 3 29.5 0 0 4.5 0 0
54.0 4 4 29.0 0 2 4.0 0 0
53.5 3 7 28.5 1 0 3.5 0 0
53.0 4 5 28.0 0 1 3.0 0 0
52.5 1 3 27.5 0 0 2.5 0 0
52.0 4 4 27.0 0 0 2.0 0 0
51.5 0 6 26.5 1 0 1.5 0 0
51.0 3 2 26.0 1 0 1.0 0 0
50.5 1 4 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for Washington
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 2 0 1 0
137.5 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 0
136.5 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 0
135.5 0 0 0 0 0 0 0
135.0 0 0 0 0 0 0 0
134.5 0 0 0 0 0 0 0
134.0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 0 0
133.0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0
132.0 0 0 0 0 0 0 0
131.5 0 0 0 0 0 0 0
131.0 0 0 0 0 1 0 0
130.5 0 0 0 0 0 0 0
130.0 0 0 0 0 0 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 1 0
126.0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 1 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 2 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 1 0
119.0 0 0 0 0 1 0 0
118.5 0 0 0 0 1 0 0
118.0 0 0 0 1 1 0 0
117.5 0 0 0 0 0 0 0
117.0 0 0 0 0 0 1 0
116.5 0 0 0 0 0 0 0
116.0 0 0 0 0 0 0 0
115.5 0 0 0 0 0 0 0
115.0 0 0 0 0 0 0 0
114.5 0 0 0 0 1 0 0
114.0 0 0 0 0 0 0 0
113.5 0 0 0 1 0 4 0
113.0 0 0 0 0 1 0 0
112.5 0 0 0 0 0 1 0
112.0 0 0 0 1 1 0 0
111.5 0 0 0 0 0 0 0
111.0 0 0 0 1 0 0 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 1 3 2 0
109.5 0 0 0 0 1 0 0
109.0 0 0 0 0 0 2 0
108.5 0 0 0 0 1 0 0
108.0 0 0 0 0 0 3 0
107.5 0 0 0 0 0 1 0
107.0 0 0 0 0 0 0 0
106.5 0 0 0 0 2 4 0
106.0 0 0 0 0 0 0 0
105.5 0 0 0 0 4 3 0
105.0 0 0 0 0 1 2 0
104.5 0 0 0 0 0 0 0
104.0 0 0 0 1 5 1 0
103.5 0 0 0 1 0 1 0
103.0 0 0 0 1 0 6 0
102.5 0 0 0 1 0 1 0
102.0 0 0 0 0 1 1 0
101.5 0 0 0 0 0 2 0
101.0 0 0 0 0 0 0 1
100.5 0 0 0 0 1 5 0
100.0 0 0 0 0 0 1 0
99.5 0 0 0 0 8 2 0
99.0 0 0 0 0 2 4 0
98.5 0 0 0 0 1 4 1
98.0 0 0 1 2 7 6 0
97.5 0 0 0 0 1 1 0
97.0 0 0 0 1 3 6 0
96.5 0 0 0 0 3 1 0
96.0 0 0 0 0 2 4 0
95.5 0 0 0 0 2 2 0
95.0 0 0 0 0 0 4 0
94.5 0 0 0 0 2 3 1
94.0 0 0 1 0 2 2 0
93.5 0 0 1 0 1 6 0
93.0 0 0 0 0 1 0 0
92.5 0 0 0 0 4 2 0
92.0 0 0 1 2 3 6 0
91.5 0 0 0 0 1 3 0
91.0 0 0 0 0 5 7 0
90.5 0 0 0 0 0 3 1
90.0 0 0 2 0 5 5 1
89.5 0 0 0 0 0 6 0
89.0 0 0 0 0 2 7 1
88.5 0 0 0 0 7 7 0
88.0 0 0 0 0 3 1 1
87.5 0 0 0 0 7 7 0
87.0 0 0 1 0 2 5 0
86.5 0 0 0 1 4 8 2
86.0 0 0 0 0 4 5 0
85.5 0 0 0 1 2 6 0
85.0 0 0 0 1 6 9 0
84.5 0 0 0 0 4 6 1
84.0 0 0 0 0 9 13 0
83.5 0 0 0 0 3 7 0
83.0 0 0 0 0 0 8 0
82.5 0 0 1 1 3 8 1
82.0 0 0 0 1 2 10 0
81.5 0 0 1 0 7 14 2
81.0 0 0 0 2 1 4 2
80.5 0 0 0 0 6 10 2
80.0 0 0 0 0 5 4 1
79.5 0 0 0 2 6 9 2
79.0 0 0 0 0 7 7 0
78.5 0 0 0 1 7 7 0
78.0 0 0 0 0 8 12 0
77.5 0 0 0 0 1 10 1
77.0 0 0 0 0 11 11 1
76.5 0 0 0 1 5 14 0
76.0 0 0 0 0 3 11 1
75.5 0 0 0 1 5 8 1
75.0 0 0 0 0 2 6 0
74.5 0 0 0 0 8 15 0
74.0 0 0 1 0 5 7 1
73.5 0 0 1 0 6 16 1
73.0 0 0 0 0 12 10 1
72.5 0 0 0 0 4 13 2
72.0 0 0 0 0 5 11 0
71.5 0 0 0 0 8 8 2
71.0 0 0 0 1 6 17 2
70.5 0 0 0 0 6 9 0
70.0 0 0 1 0 1 15 0
69.5 0 0 0 1 4 13 0
69.0 0 0 0 0 8 14 3
68.5 0 0 1 0 10 10 2
68.0 0 0 0 0 4 10 0
67.5 0 0 0 0 8 14 1
67.0 0 0 0 0 4 15 2
66.5 0 0 0 0 10 10 0
66.0 0 0 1 0 7 13 1
65.5 0 0 1 0 5 7 2
65.0 0 0 0 0 8 13 1
64.5 0 0 0 0 6 8 1
64.0 0 0 0 0 6 7 1
63.5 0 0 0 0 2 14 2
63.0 0 0 0 0 2 8 0
62.5 0 1 0 2 7 4 1
62.0 0 0 0 1 4 9 1
61.5 0 0 0 0 9 10 2
61.0 0 0 0 1 7 4 1
60.5 0 1 0 0 11 6 2
60.0 0 0 0 0 8 15 0
59.5 0 0 0 0 9 4 0
59.0 0 0 1 0 0 8 1
58.5 0 0 0 0 4 6 1
58.0 0 0 0 1 6 6 1
57.5 0 0 0 0 4 8 0
57.0 0 0 0 0 4 5 2
56.5 0 0 0 0 4 5 1
56.0 0 0 0 0 4 6 0
55.5 0 0 0 1 2 8 0
55.0 0 0 0 0 2 5 1
54.5 0 0 0 0 6 3 2
54.0 0 0 1 0 2 5 0
53.5 0 0 0 0 5 5 1
53.0 0 0 0 0 7 3 0
52.5 0 0 0 0 0 4 0
52.0 0 0 0 0 3 6 0
51.5 0 0 0 0 3 3 0
51.0 0 0 0 0 1 4 0
50.5 0 0 0 1 2 3 0
50.0 0 0 0 0 2 6 0
49.5 0 0 1 0 4 3 0
49.0 0 0 0 0 2 2 0
48.5 0 0 0 0 1 2 0
48.0 0 0 0 0 3 4 0
47.5 0 0 0 0 5 3 0
47.0 0 0 0 0 1 3 1
46.5 0 0 0 0 1 4 0
46.0 0 0 0 0 2 3 0
45.5 0 0 0 0 0 3 0
45.0 0 0 0 0 2 2 0
44.5 0 0 0 0 1 1 0
44.0 0 0 0 0 1 3 0
43.5 0 0 0 1 3 3 0
43.0 0 0 0 0 0 1 0
42.5 0 0 0 0 1 3 0
42.0 0 1 0 1 3 3 0
41.5 0 1 0 0 0 1 0
41.0 0 0 0 0 1 1 0
40.5 0 0 0 0 1 1 0
40.0 0 0 0 0 3 0 0
39.5 0 0 0 0 0 0 0
39.0 0 0 0 0 0 1 0
38.5 0 0 0 1 3 1 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 1 0
36.0 0 0 0 0 0 6 0
35.5 0 0 0 0 2 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 1 0
33.0 0 0 0 1 2 0 0
32.5 0 0 1 0 0 1 0
32.0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 0 0
31.0 0 0 0 0 0 2 0
30.5 0 0 0 0 1 1 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 2 0 0
28.5 0 0 0 0 1 0 0
28.0 0 0 0 0 0 1 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 1 0 0
26.0 0 0 0 0 0 1 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 1 0 2 1
23.5 0 0 0 0 0 2 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 1 0
17.5 0 0 0 0 0 0 0
17.0 0 0 0 0 0 1 0
16.5 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0
15.5 0 0 0 0 0 0 0
15.0 0 0 0 0 0 0 0
14.5 0 0 0 0 0 0 0
14.0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0
12.0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0
6.0 0 0 0 0 0 0 0
5.5 0 0 0 0 0 0 0
5.0 0 0 0 0 0 0 0
4.5 0 0 0 0 0 0 0
4.0 0 0 0 0 0 0 0
3.5 0 0 0 0 0 0 0
3.0 0 0 0 0 0 0 0
2.5 0 0 0 0 0 0 0
2.0 0 0 0 0 0 0 0
1.5 0 0 0 0 0 0 0
1.0 0 0 0 0 0 0 0
0.5 0 0 0 0 0 0 0
0 0 0 0 0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for Washington
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 0.46 2.21 0.85 4.12* 0.48 1.88 0.00
2 0.05 8.57* 0.13 0.99 0.02 0.25 0.00
3 0.43 2.27 0.48 3.88* 0.37 2.57 0.00
4 4.36* 0.21 0.17 3.53 0.12 1.62 0.00
5 0.70 4.70* 0.18 0.13 0.06 4.23 0.00
6 1.66 1.48 1.96* 0.58 0.95 3.36 0.00
7 1.52 1.93* 0.88 1.70 0.38 3.59 0.00
8 1.39 0.52 0.25 0.32 5.99* 1.53 0.00
9 1.60* 0.54 1.62 1.97 0.08 4.18 0.00
10 0.54 0.45 0.72 1.25 4.24* 2.81 0.00
11 0.24 0.15 0.16 0.25 6.31* 2.89 0.00
12 2.80* 2.66 0.27 0.95 0.84 2.48 0.01
13 5.22* 0.26 0.29 0.17 0.05 4.01 0.00
14 1.49* 1.17 0.37 0.77 0.92 5.26 0.01
15 1.00 1.72 3.57* 0.45 0.68 2.57 0.00
16 0.69 0.82 1.98* 0.21 0.58 5.73 0.00
17 0.41 0.70* 0.15 0.23 0.51 8.00 0.00
18 0.58 0.42* 0.15 0.47 0.85 7.53 0.00
19 0.25 0.23 0.35* 0.16 0.11 8.91 0.00
20 0.48 0.33 0.29 0.33 0.32* 8.23 0.01
21 0.57 0.46 0.96 1.84* 2.42 3.74 0.01
22 0.60 2.19* 0.55 0.22 0.05 6.39 0.00
23 0.27 0.27 0.60* 0.60 0.52 7.73 0.01
24 0.13 0.36 0.47 0.46 4.11* 4.46 0.00
25 0.20 0.37* 0.26 0.15 0.16 8.87 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 Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 0 0 100.0 2 0
149.5 0 0 124.5 0 0 99.5 13 1
149.0 0 0 124.0 4 0 99.0 2 1
148.5 0 0 123.5 0 0 98.5 14 7
148.0 0 0 123.0 0 1 98.0 6 3
147.5 0 0 122.5 0 0 97.5 0 1
147.0 0 0 122.0 0 2 97.0 12 4
146.5 0 0 121.5 0 0 96.5 1 2
146.0 0 0 121.0 0 0 96.0 15 4
145.5 0 0 120.5 1 0 95.5 10 0
145.0 0 0 120.0 0 0 95.0 14 5
144.5 0 0 119.5 2 0 94.5 8 1
144.0 1 0 119.0 0 0 94.0 4 2
143.5 0 0 118.5 4 0 93.5 12 7
143.0 0 0 118.0 0 1 93.0 4 0
142.5 0 0 117.5 0 0 92.5 19 7
142.0 0 0 117.0 2 1 92.0 11 4
141.5 0 0 116.5 0 0 91.5 7 7
141.0 0 0 116.0 2 1 91.0 14 4
140.5 0 0 115.5 1 0 90.5 6 0
140.0 0 0 115.0 1 0 90.0 17 8
139.5 2 0 114.5 1 0 89.5 6 4
139.0 0 0 114.0 0 0 89.0 9 10
138.5 0 0 113.5 1 1 88.5 7 3
138.0 1 0 113.0 0 0 88.0 7 3
137.5 0 0 112.5 8 2 87.5 11 9
137.0 0 0 112.0 0 0 87.0 2 2
136.5 0 0 111.5 1 0 86.5 12 9
136.0 0 0 111.0 2 2 86.0 8 3
135.5 0 0 110.5 0 0 85.5 10 10
135.0 0 0 110.0 6 2 85.0 10 5
134.5 0 0 109.5 0 0 84.5 15 8
134.0 0 0 109.0 2 1 84.0 24 14
133.5 0 0 108.5 2 0 83.5 11 2
133.0 0 0 108.0 7 2 83.0 22 8
132.5 0 0 107.5 5 1 82.5 6 10
132.0 0 0 107.0 0 0 82.0 9 6
131.5 0 0 106.5 12 0 81.5 15 12
131.0 0 0 106.0 2 0 81.0 12 9
130.5 0 0 105.5 3 0 80.5 18 13
130.0 0 0 105.0 1 2 80.0 11 7
129.5 0 0 104.5 6 2 79.5 13 15
129.0 0 1 104.0 8 2 79.0 16 8
128.5 0 0 103.5 1 0 78.5 8 12
128.0 0 0 103.0 10 2 78.0 20 13
127.5 0 0 102.5 1 0 77.5 14 12
127.0 0 0 102.0 8 3 77.0 36 17
126.5 0 0 101.5 1 1 76.5 12 11
126.0 0 0 101.0 5 1 76.0 18 11
125.5 0 0 100.5 15 2 75.5 16 8
American Mathematics Competitions
2003 AMC 12 A Results for Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 17 10 50.0 6 5 25.0 0 0
74.5 10 9 49.5 4 2 24.5 0 0
74.0 15 10 49.0 4 2 24.0 2 0
73.5 14 10 48.5 4 1 23.5 0 0
73.0 12 5 48.0 4 4 23.0 0 0
72.5 10 12 47.5 2 3 22.5 0 0
72.0 18 17 47.0 3 3 22.0 0 0
71.5 10 11 46.5 2 4 21.5 0 0
71.0 19 14 46.0 0 2 21.0 0 0
70.5 11 7 45.5 3 2 20.5 0 0
70.0 11 10 45.0 2 1 20.0 0 0
69.5 13 11 44.5 2 4 19.5 0 2
69.0 11 14 44.0 3 1 19.0 0 0
68.5 11 13 43.5 1 4 18.5 0 0
68.0 10 18 43.0 2 2 18.0 1 0
67.5 13 8 42.5 1 0 17.5 0 0
67.0 12 17 42.0 2 7 17.0 0 0
66.5 9 15 41.5 0 4 16.5 0 0
66.0 19 8 41.0 2 0 16.0 0 0
65.5 10 11 40.5 0 1 15.5 0 0
65.0 8 8 40.0 2 2 15.0 0 0
64.5 9 9 39.5 0 1 14.5 0 0
64.0 21 17 39.0 2 1 14.0 0 0
63.5 5 15 38.5 1 0 13.5 0 0
63.0 9 7 38.0 1 0 13.0 0 0
62.5 6 11 37.5 1 0 12.5 0 0
62.0 8 5 37.0 2 0 12.0 0 2
61.5 12 6 36.5 1 0 11.5 0 0
61.0 10 9 36.0 4 1 11.0 0 0
60.5 6 8 35.5 1 0 10.5 0 0
60.0 15 4 35.0 0 1 10.0 0 0
59.5 7 5 34.5 0 0 9.5 0 0
59.0 8 9 34.0 2 0 9.0 0 0
58.5 7 13 33.5 0 0 8.5 0 0
58.0 7 6 33.0 0 0 8.0 0 0
57.5 4 17 32.5 0 1 7.5 0 0
57.0 5 5 32.0 0 0 7.0 0 0
56.5 6 9 31.5 0 0 6.5 0 0
56.0 5 8 31.0 0 0 6.0 1 0
55.5 5 6 30.5 0 1 5.5 0 0
55.0 10 3 30.0 1 3 5.0 0 0
54.5 1 6 29.5 1 1 4.5 0 0
54.0 9 6 29.0 1 0 4.0 0 0
53.5 4 4 28.5 0 0 3.5 0 0
53.0 4 4 28.0 1 0 3.0 0 0
52.5 4 7 27.5 0 0 2.5 0 0
52.0 1 8 27.0 0 0 2.0 0 0
51.5 4 7 26.5 0 0 1.5 0 0
51.0 3 4 26.0 0 0 1.0 0 0
50.5 4 6 25.5 0 1 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for Washington
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 1 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 1 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 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 1 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 1 2 1 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0 1 0 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 1 1 0 1
121.5 0 0 0 0 0 0 0 0 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 0 1 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 0 1 1 0 0
119.0 0 0 0 0 0 0 0 0 0 0
118.5 0 0 0 0 0 1 1 2 0 0
118.0 0 0 0 0 0 1 0 0 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 2 1 0 0
116.5 0 0 0 0 0 0 0 0 0 0
116.0 0 0 0 0 0 0 2 1 0 0
115.5 0 0 0 0 0 0 0 1 0 0
115.0 0 0 0 0 0 0 1 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 1 0 0
113.0 0 0 0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 1 5 4 0 0
112.0 0 0 0 0 0 0 0 0 0 0
111.5 0 0 0 0 0 0 0 1 0 0
111.0 0 0 0 0 0 0 2 2 0 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 0 1 2 5 0 0
109.5 0 0 0 0 0 0 0 0 0 0
109.0 0 0 0 0 0 0 1 2 0 0
108.5 0 0 0 0 0 1 0 1 0 0
108.0 0 0 0 0 0 1 2 6 0 0
107.5 0 0 0 0 0 1 1 4 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 0 8 5 0 0
106.0 0 0 0 0 0 0 1 1 0 0
105.5 0 0 0 0 0 0 1 2 0 0
105.0 0 0 0 0 0 0 0 3 0 0
104.5 0 0 0 0 0 1 4 3 0 0
104.0 0 0 0 0 0 0 7 3 0 0
103.5 0 0 0 0 0 0 0 0 0 1
103.0 0 0 0 0 0 0 2 9 0 1
102.5 0 0 0 0 0 0 1 0 0 0
102.0 0 0 0 0 0 0 7 5 0 1
101.5 0 0 0 0 0 0 0 2 0 0
101.0 0 0 0 0 0 0 3 3 0 0
100.5 0 0 0 0 0 1 3 13 0 0
100.0 0 0 0 0 0 0 0 2 0 0
99.5 0 0 0 0 0 2 9 4 0 0
99.0 0 0 0 0 0 0 1 2 0 0
98.5 0 0 0 0 0 0 9 12 0 0
98.0 0 0 0 0 0 0 4 7 0 1
97.5 0 0 0 0 0 0 1 0 0 1
97.0 0 0 0 0 0 2 11 3 0 1
96.5 0 0 0 0 0 0 1 2 0 0
96.0 0 0 0 0 2 1 6 11 0 0
95.5 0 0 0 0 1 1 2 6 0 0
95.0 0 0 0 0 0 2 10 8 0 1
94.5 0 0 0 0 1 1 5 3 0 0
94.0 0 0 0 0 0 0 4 2 0 0
93.5 0 0 0 0 1 1 9 8 0 0
93.0 0 0 0 0 0 0 1 3 0 0
92.5 0 0 0 0 0 1 16 9 0 0
92.0 0 0 0 0 0 2 6 7 0 0
91.5 0 0 0 0 1 1 3 8 0 2
91.0 0 0 0 0 0 1 9 8 0 0
90.5 0 0 0 0 0 0 4 2 0 0
90.0 0 0 0 0 2 2 6 15 0 2
89.5 0 0 0 0 0 1 6 3 0 0
89.0 0 0 0 0 1 3 11 6 0 1
88.5 0 0 0 0 1 2 4 3 0 0
88.0 0 0 0 0 0 0 3 7 0 1
87.5 0 0 0 0 1 2 7 11 0 0
87.0 0 0 0 0 1 0 2 1 0 1
86.5 0 0 0 0 2 2 10 8 0 0
86.0 0 0 0 0 0 0 6 5 0 0
85.5 0 0 0 0 2 2 10 7 0 2
85.0 0 0 0 0 0 0 10 6 0 0
84.5 0 0 0 0 4 3 10 7 0 1
84.0 0 0 0 0 1 2 20 16 0 0
83.5 0 0 0 0 2 0 7 4 0 1
83.0 0 0 0 0 1 3 17 10 0 0
82.5 0 0 0 0 0 0 8 8 0 0
82.0 0 0 0 0 1 2 7 5 0 0
81.5 0 0 0 0 2 2 8 15 0 0
81.0 0 0 0 0 0 3 8 11 0 1
80.5 0 0 0 0 0 3 16 14 0 3
80.0 0 0 0 0 0 1 7 9 0 1
79.5 0 0 0 0 1 0 13 13 0 3
79.0 0 0 0 0 1 0 10 13 0 0
78.5 0 0 0 0 1 1 11 8 0 1
78.0 0 0 0 0 0 1 14 18 0 0
77.5 0 0 0 0 2 2 12 10 0 0
77.0 0 0 0 0 4 7 31 13 0 1
76.5 0 0 0 0 2 1 9 12 0 1
76.0 0 0 0 0 1 2 13 15 0 1
75.5 0 0 0 0 0 2 13 8 0 2
75.0 0 0 0 0 0 1 13 13 0 0
74.5 0 0 0 0 1 1 8 10 0 3
74.0 0 0 0 0 3 2 14 6 0 0
73.5 0 0 0 0 1 3 14 10 0 2
73.0 0 0 0 0 0 1 11 7 0 0
72.5 0 0 0 0 0 1 10 11 0 1
72.0 0 0 0 0 1 1 15 18 0 0
71.5 0 0 0 0 2 2 9 9 0 0
71.0 0 0 0 0 2 1 16 15 0 3
70.5 0 0 0 0 1 1 11 6 0 0
70.0 0 0 0 0 0 1 11 9 0 4
69.5 0 0 0 0 0 2 17 7 0 0
69.0 0 0 0 0 0 1 17 7 0 1
68.5 0 0 0 0 0 2 11 10 0 2
68.0 0 0 0 0 0 1 20 7 0 0
67.5 0 0 0 0 0 4 15 6 0 3
67.0 0 0 0 0 2 1 14 12 0 2
66.5 0 0 0 0 0 0 18 6 0 1
66.0 0 0 0 0 1 2 16 8 0 2
65.5 0 0 0 1 1 1 12 6 0 0
65.0 0 0 0 0 1 1 7 7 0 3
64.5 0 0 0 1 1 1 10 7 0 1
64.0 0 0 0 0 2 2 15 19 0 0
63.5 0 0 0 0 0 1 13 7 0 0
63.0 0 0 0 0 0 2 7 8 0 3
62.5 0 0 0 0 0 1 8 10 0 2
62.0 0 0 0 0 1 0 7 6 0 0
61.5 0 0 0 0 2 1 6 9 0 1
61.0 0 0 0 0 0 2 11 7 0 0
60.5 0 0 0 0 1 1 7 5 0 0
60.0 0 0 0 0 1 2 11 5 0 2
59.5 0 0 0 0 2 0 6 4 0 0
59.0 0 0 0 0 2 1 6 8 0 2
58.5 0 0 0 0 1 3 10 6 0 1
58.0 0 0 0 0 0 1 7 5 0 0
57.5 0 0 0 0 2 1 14 4 0 0
57.0 0 0 0 0 0 1 6 3 0 0
56.5 0 0 0 0 0 0 9 7 0 0
56.0 0 0 0 0 0 0 10 3 0 3
55.5 0 0 0 0 0 0 4 7 0 0
55.0 0 0 0 0 0 1 7 5 0 0
54.5 0 0 0 0 0 1 5 2 0 1
54.0 0 0 0 0 0 1 6 8 0 1
53.5 0 0 0 0 1 0 5 2 0 0
53.0 0 0 0 0 1 0 5 2 0 0
52.5 0 0 0 0 0 1 4 6 0 0
52.0 0 0 0 0 0 0 6 4 0 1
51.5 0 0 0 0 1 2 5 3 0 1
51.0 0 0 0 0 0 0 4 3 0 0
50.5 0 0 0 0 0 0 7 3 0 2
50.0 0 0 0 0 0 1 4 7 0 0
49.5 0 0 0 0 0 0 4 1 0 1
49.0 0 0 0 0 1 0 4 1 0 0
48.5 0 0 0 0 0 1 2 2 0 1
48.0 0 0 0 0 0 0 6 2 0 0
47.5 0 0 0 0 0 1 3 1 0 0
47.0 0 0 0 0 0 2 1 3 0 0
46.5 0 0 0 0 0 0 5 1 0 0
46.0 0 0 0 0 0 0 1 1 0 0
45.5 0 0 0 0 0 1 4 1 0 0
45.0 0 0 0 0 0 0 2 1 0 0
44.5 0 0 0 0 0 0 4 2 0 0
44.0 0 0 0 0 0 0 3 1 0 0
43.5 0 0 0 0 0 1 1 3 0 0
43.0 0 0 0 0 0 0 2 2 0 0
42.5 0 0 0 0 0 0 0 1 0 0
42.0 0 0 0 0 0 0 8 2 0 0
41.5 0 0 0 0 0 1 2 2 0 0
41.0 0 0 0 0 0 0 1 1 0 0
40.5 0 0 0 0 0 0 1 0 0 0
40.0 0 0 0 0 0 0 4 1 0 0
39.5 0 0 0 0 0 0 0 1 0 0
39.0 0 0 0 0 0 0 1 2 0 0
38.5 0 0 0 0 0 0 0 1 0 1
38.0 0 0 0 0 0 0 1 0 0 0
37.5 0 0 0 0 0 0 0 1 0 0
37.0 0 0 0 0 0 0 2 0 0 0
36.5 0 0 0 0 0 0 1 0 0 0
36.0 0 0 0 0 0 0 3 2 0 0
35.5 0 0 0 0 0 0 1 0 0 0
35.0 0 0 0 0 0 0 1 0 0 0
34.5 0 0 0 0 0 0 0 0 0 0
34.0 0 0 0 0 0 0 0 2 0 0
33.5 0 0 0 0 0 0 0 0 0 0
33.0 0 0 0 0 0 0 0 0 0 0
32.5 0 0 0 0 0 0 0 1 0 0
32.0 0 0 0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 0 0 0 0 0
31.0 0 0 0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 0 1 0 0 0
30.0 0 0 0 0 0 0 3 1 0 0
29.5 0 0 0 0 0 0 1 1 0 0
29.0 0 0 0 0 0 0 1 0 0 0
28.5 0 0 0 0 0 0 0 0 0 0
28.0 0 0 0 0 0 0 1 0 0 1
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 1 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 2 0 0 0
19.0 0 0 0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0 0 0 0
18.0 0 0 0 0 0 0 1 0 0 0
17.5 0 0 0 0 0 0 0 0 0 0
17.0 0 0 0 0 0 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 1 1 0 0
11.5 0 0 0 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0 0 0 0
6.0 0 0 0 0 0 0 0 1 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 Washington
Analysis
Table of Item Difficulty for the 2003
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.44 1.73 0.67 5.02* 0.40 1.74 0.00
2 0.02 8.91* 0.12 0.67 0.03 0.26 0.00
3 0.24 2.50 0.30 5.06* 0.21 1.70 0.00
4 5.28* 0.14 0.21 3.25 0.08 1.04 0.00
5 0.28 0.06 0.11 0.12 7.47* 1.95 0.00
6 1.39 1.82 3.04* 0.41 0.62 2.71 0.00
7 1.66 1.79* 0.84 1.71 0.28 3.70 0.00
8 1.06 0.46 0.27 0.19 6.79* 1.24 0.00
9 0.30 0.73 1.32 2.92* 0.14 4.59 0.00
10 0.40 0.99 0.53 2.80* 0.18 5.10 0.00
11 0.61 0.65 1.19* 0.42 0.87 6.26 0.00
12 0.12 0.23 0.52 0.40 6.29* 2.43 0.00
13 0.48 0.40 0.55 1.11 4.69* 2.77 0.00
14 0.86 0.43 0.47 3.97* 1.17 3.11 0.00
15 0.24 0.20 0.66* 0.13 0.24 8.54 0.00
16 0.58 0.40 4.16* 0.32 0.82 3.72 0.00
17 0.64 0.80* 0.25 0.54 0.23 7.53 0.00
18 0.15 0.41* 0.16 0.15 0.20 8.93 0.00
19 0.51 0.46 0.97 1.13* 0.63 6.30 0.00
20 0.38* 0.32 0.65 1.26 0.13 7.26 0.00
21 0.71 0.37 0.17 0.64* 1.57 6.54 0.00
22 0.62 0.52 0.35* 0.66 0.16 7.68 0.00
23 0.18 0.27* 0.21 0.15 0.20 8.99 0.00
24 0.14 1.57* 0.77 0.14 0.20 7.18 0.00
25 0.65 0.29 0.11* 0.10 1.79 7.06 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 Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 0 1 100.0 2 0
149.5 0 0 124.5 0 0 99.5 2 4
149.0 0 0 124.0 2 0 99.0 1 0
148.5 0 0 123.5 0 0 98.5 3 1
148.0 0 0 123.0 0 0 98.0 3 1
147.5 0 0 122.5 0 0 97.5 2 1
147.0 0 0 122.0 0 0 97.0 3 3
146.5 1 0 121.5 1 0 96.5 2 1
146.0 0 0 121.0 0 0 96.0 9 5
145.5 0 0 120.5 1 0 95.5 1 2
145.0 0 0 120.0 1 0 95.0 3 3
144.5 0 0 119.5 0 0 94.5 2 3
144.0 0 0 119.0 1 0 94.0 0 0
143.5 0 0 118.5 0 0 93.5 5 1
143.0 0 0 118.0 2 0 93.0 1 0
142.5 0 0 117.5 0 0 92.5 5 4
142.0 0 0 117.0 1 0 92.0 3 1
141.5 0 0 116.5 0 0 91.5 1 2
141.0 0 0 116.0 1 1 91.0 7 4
140.5 0 0 115.5 0 1 90.5 4 1
140.0 0 0 115.0 0 0 90.0 3 4
139.5 0 0 114.5 0 1 89.5 0 1
139.0 0 0 114.0 0 0 89.0 5 4
138.5 0 0 113.5 0 0 88.5 4 4
138.0 0 0 113.0 2 0 88.0 2 1
137.5 0 0 112.5 1 1 87.5 2 5
137.0 1 0 112.0 0 1 87.0 6 1
136.5 0 0 111.5 0 0 86.5 4 5
136.0 0 0 111.0 1 2 86.0 3 2
135.5 0 0 110.5 0 0 85.5 2 0
135.0 0 0 110.0 4 1 85.0 3 1
134.5 0 0 109.5 3 0 84.5 2 7
134.0 0 0 109.0 5 2 84.0 3 3
133.5 1 0 108.5 0 0 83.5 4 2
133.0 0 0 108.0 0 0 83.0 4 4
132.5 0 0 107.5 0 0 82.5 6 3
132.0 2 0 107.0 0 0 82.0 5 5
131.5 0 0 106.5 2 0 81.5 5 5
131.0 0 0 106.0 1 0 81.0 2 2
130.5 0 0 105.5 2 0 80.5 5 5
130.0 0 0 105.0 2 1 80.0 3 3
129.5 0 0 104.5 0 1 79.5 5 4
129.0 0 0 104.0 0 1 79.0 2 0
128.5 0 0 103.5 2 0 78.5 6 5
128.0 0 0 103.0 3 1 78.0 2 4
127.5 0 0 102.5 1 1 77.5 3 4
127.0 0 0 102.0 2 1 77.0 3 7
126.5 0 0 101.5 1 2 76.5 3 1
126.0 0 0 101.0 1 0 76.0 5 6
125.5 0 0 100.5 2 0 75.5 5 2
American Mathematics Competitions
2003 AMC 10 B Results for Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 9 50.0 0 2 25.0 0 0
74.5 2 2 49.5 0 0 24.5 0 0
74.0 3 5 49.0 0 0 24.0 0 0
73.5 4 6 48.5 1 0 23.5 0 0
73.0 1 5 48.0 1 1 23.0 0 0
72.5 5 2 47.5 0 1 22.5 0 0
72.0 2 5 47.0 0 0 22.0 0 0
71.5 3 5 46.5 0 0 21.5 0 0
71.0 5 9 46.0 0 2 21.0 0 0
70.5 5 2 45.5 0 0 20.5 0 0
70.0 3 2 45.0 0 1 20.0 0 0
69.5 2 7 44.5 0 0 19.5 0 0
69.0 0 4 44.0 2 0 19.0 0 0
68.5 2 5 43.5 0 0 18.5 0 0
68.0 2 5 43.0 0 1 18.0 0 0
67.5 0 3 42.5 1 0 17.5 0 0
67.0 1 4 42.0 4 1 17.0 0 0
66.5 4 2 41.5 0 0 16.5 0 0
66.0 5 4 41.0 0 1 16.0 0 0
65.5 2 3 40.5 0 0 15.5 0 0
65.0 3 0 40.0 1 0 15.0 0 0
64.5 0 1 39.5 0 0 14.5 0 0
64.0 2 3 39.0 0 0 14.0 0 0
63.5 0 2 38.5 0 0 13.5 0 0
63.0 1 3 38.0 0 0 13.0 0 0
62.5 3 3 37.5 0 0 12.5 0 0
62.0 1 4 37.0 0 0 12.0 0 0
61.5 1 1 36.5 0 0 11.5 0 0
61.0 1 0 36.0 0 0 11.0 0 0
60.5 0 0 35.5 0 0 10.5 0 0
60.0 0 4 35.0 0 0 10.0 0 0
59.5 1 0 34.5 0 0 9.5 0 0
59.0 2 1 34.0 0 0 9.0 0 0
58.5 2 4 33.5 0 0 8.5 0 0
58.0 1 3 33.0 0 0 8.0 0 0
57.5 0 4 32.5 0 1 7.5 0 0
57.0 1 3 32.0 0 0 7.0 0 0
56.5 2 1 31.5 0 0 6.5 0 0
56.0 0 2 31.0 0 0 6.0 0 0
55.5 0 1 30.5 0 0 5.5 0 0
55.0 1 1 30.0 0 1 5.0 0 0
54.5 0 3 29.5 0 0 4.5 0 0
54.0 0 5 29.0 1 0 4.0 0 0
53.5 0 3 28.5 0 0 3.5 0 0
53.0 0 2 28.0 0 0 3.0 0 0
52.5 0 0 27.5 0 0 2.5 0 0
52.0 0 0 27.0 0 0 2.0 0 0
51.5 0 0 26.5 0 0 1.5 0 0
51.0 1 1 26.0 0 0 1.0 0 0
50.5 0 1 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 B Results for Washington
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 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 1 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 1 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 2 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 1 0 0
124.5 0 0 0 0 0 0 0
124.0 0 0 0 0 0 3 1
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 1 0 0 0
121.0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 1 0
120.0 0 0 0 0 1 0 0
119.5 0 0 0 0 0 0 0
119.0 0 0 0 1 0 0 0
118.5 0 0 0 0 0 0 0
118.0 0 0 0 0 0 2 1
117.5 0 0 0 0 0 0 0
117.0 0 0 0 0 1 0 0
116.5 0 0 0 0 0 0 0
116.0 0 0 0 0 0 2 0
115.5 0 0 0 0 0 1 0
115.0 0 0 0 0 0 0 0
114.5 0 0 0 0 0 1 0
114.0 0 0 0 0 0 0 0
113.5 0 0 0 0 0 1 0
113.0 0 0 0 2 0 0 0
112.5 0 0 0 0 0 2 0
112.0 0 0 0 0 0 1 0
111.5 0 0 0 0 0 0 0
111.0 0 0 0 1 1 1 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 0 1 4 0
109.5 0 0 0 0 0 3 0
109.0 0 0 0 0 2 5 1
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 2 0 0
106.0 0 0 0 0 1 0 0
105.5 0 1 0 0 0 1 0
105.0 0 0 0 0 2 1 0
104.5 0 0 0 0 0 1 0
104.0 0 0 0 0 0 1 0
103.5 0 0 0 1 0 1 0
103.0 0 0 0 0 0 4 0
102.5 0 0 0 0 1 1 0
102.0 0 0 0 0 1 2 0
101.5 0 0 0 0 0 3 1
101.0 0 0 0 0 0 1 0
100.5 0 0 0 0 0 2 0
100.0 0 0 0 0 1 1 0
99.5 0 0 0 0 3 3 1
99.0 0 0 0 1 0 0 0
98.5 0 0 0 0 3 1 0
98.0 0 0 0 0 2 2 1
97.5 0 0 0 0 3 1 0
97.0 0 0 0 1 3 2 0
96.5 0 0 0 0 1 2 0
96.0 0 0 0 0 6 9 0
95.5 0 0 0 0 1 2 0
95.0 0 0 0 0 3 3 0
94.5 0 0 0 0 3 2 0
94.0 0 0 0 0 0 0 0
93.5 0 0 0 0 4 2 0
93.0 0 0 0 0 0 1 0
92.5 0 0 0 0 6 2 1
92.0 0 0 0 0 1 4 1
91.5 0 0 0 0 2 1 0
91.0 0 0 0 1 2 9 0
90.5 0 0 0 0 2 3 0
90.0 0 0 0 0 2 5 0
89.5 0 0 0 0 2 0 0
89.0 0 0 0 0 6 4 0
88.5 0 0 0 0 4 5 0
88.0 0 0 0 0 2 1 1
87.5 0 0 0 0 3 4 0
87.0 0 0 0 0 5 1 1
86.5 0 0 0 0 4 5 0
86.0 0 0 0 0 3 4 0
85.5 0 0 0 0 0 2 0
85.0 0 0 0 0 3 2 0
84.5 0 0 0 0 4 5 0
84.0 0 0 0 0 3 4 0
83.5 0 0 0 0 4 3 1
83.0 0 0 0 0 4 4 0
82.5 0 0 0 0 5 4 0
82.0 0 0 0 0 5 5 1
81.5 0 0 0 0 2 9 0
81.0 0 0 0 0 2 2 1
80.5 0 0 0 0 5 5 0
80.0 0 0 0 0 3 3 1
79.5 0 0 0 0 3 7 0
79.0 0 0 0 0 1 1 0
78.5 0 0 0 1 8 3 1
78.0 0 0 0 0 3 3 2
77.5 0 0 0 0 4 3 2
77.0 0 0 0 0 6 5 2
76.5 0 0 0 0 2 2 0
76.0 0 0 0 0 4 7 0
75.5 0 0 0 0 3 4 0
75.0 0 0 0 0 6 5 0
74.5 0 0 0 1 3 1 0
74.0 0 0 0 0 2 6 0
73.5 0 0 0 0 7 3 0
73.0 0 0 0 0 0 6 0
72.5 0 0 0 0 3 4 0
72.0 0 0 0 0 3 5 0
71.5 0 0 0 0 4 4 0
71.0 0 0 0 1 6 7 1
70.5 0 0 0 0 1 6 0
70.0 0 0 0 0 2 3 0
69.5 0 0 0 0 6 4 0
69.0 0 0 0 0 2 2 0
68.5 0 0 0 0 4 5 0
68.0 0 0 0 0 2 5 1
67.5 0 0 0 0 1 2 1
67.0 0 0 0 0 3 2 0
66.5 0 0 0 0 4 2 1
66.0 0 0 0 0 7 1 1
65.5 0 0 0 0 6 0 0
65.0 0 0 0 0 1 2 0
64.5 0 0 0 0 0 1 0
64.0 0 0 1 0 4 0 0
63.5 0 0 0 0 2 0 0
63.0 0 0 0 0 3 2 0
62.5 0 0 0 0 2 4 0
62.0 0 0 0 0 4 1 0
61.5 0 0 0 0 1 1 0
61.0 0 0 0 0 0 1 1
60.5 0 0 0 0 0 0 0
60.0 0 0 0 0 1 3 0
59.5 0 0 0 0 1 0 0
59.0 0 0 0 0 1 2 0
58.5 0 0 0 0 3 3 0
58.0 0 0 0 0 1 4 1
57.5 0 0 0 0 2 2 0
57.0 0 0 0 0 1 3 0
56.5 0 0 0 0 0 3 0
56.0 0 0 0 0 2 0 0
55.5 0 0 0 0 0 1 0
55.0 0 0 0 0 1 1 0
54.5 0 0 0 0 1 2 0
54.0 0 0 0 0 0 5 0
53.5 0 0 0 0 1 2 0
53.0 0 0 0 0 1 1 0
52.5 0 0 0 0 0 0 0
52.0 0 0 0 0 0 0 0
51.5 0 0 0 0 0 0 0
51.0 0 0 0 0 0 2 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 0 0
49.0 0 0 0 0 0 0 0
48.5 0 0 0 0 0 1 0
48.0 0 0 0 0 1 1 0
47.5 0 0 0 0 1 0 0
47.0 0 0 0 0 0 0 0
46.5 0 0 0 0 0 0 0
46.0 0 0 0 0 1 1 0
45.5 0 0 0 0 0 0 0
45.0 0 0 0 0 0 1 0
44.5 0 0 0 0 0 0 0
44.0 0 0 0 0 1 1 0
43.5 0 0 0 0 0 0 0
43.0 0 0 0 0 1 0 0
42.5 0 0 0 0 1 0 0
42.0 0 0 0 0 2 4 0
41.5 0 0 0 0 0 0 0
41.0 0 0 0 0 1 0 1
40.5 0 0 0 0 0 0 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 0 0
37.5 0 0 0 0 0 0 0
37.0 0 0 0 0 0 0 0
36.5 0 0 0 0 0 0 0
36.0 0 0 0 0 0 0 0
35.5 0 0 0 0 0 0 0
35.0 0 0 0 0 0 0 0
34.5 0 0 0 0 0 0 0
34.0 0 0 0 0 0 0 0
33.5 0 0 0 0 0 0 0
33.0 0 0 0 0 0 0 0
32.5 0 0 0 0 1 0 0
32.0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 0 1
31.0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 0 0
30.0 0 0 0 0 0 1 0
29.5 0 0 0 0 0 0 0
29.0 0 0 0 0 1 0 0
28.5 0 0 0 0 0 0 0
28.0 0 0 0 0 0 0 0
27.5 0 0 0 0 0 0 0
27.0 0 0 0 0 0 0 0
26.5 0 0 0 0 0 0 0
26.0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 0
25.0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0
24.0 0 0 0 0 0 0 0
23.5 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 0
22.5 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 1
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 Washington
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 0.04 0.13 9.67* 0.04 0.04 0.06 0.00
2 0.04 0.04 1.22 8.18* 0.18 0.31 0.01
3 0.31 7.06* 0.52 0.58 0.07 1.45 0.00
4 8.88* 0.19 0.13 0.06 0.09 0.64 0.00
5 0.22 0.43 4.23* 0.89 1.30 2.92 0.00
6 0.91 1.73 0.34 3.58* 0.67 2.77 0.00
7 0.54 4.63* 0.40 0.82 0.24 3.37 0.00
8 0.16 1.15* 0.33 0.82 0.51 7.03 0.00
9 0.21 2.40* 0.42 0.43 0.22 6.32 0.00
10 0.25 0.22 3.34* 1.09 0.39 4.71 0.00
11 5.35* 0.54 0.37 0.24 0.77 2.73 0.00
12 0.57 0.45 6.30* 0.10 0.22 2.35 0.00
13 2.04 0.66 0.33 0.66 1.34* 4.98 0.00
14 1.19 0.39 0.13 2.86* 0.12 5.31 0.00
15 1.73 1.62 0.42 0.79 2.53* 2.91 0.00
16 0.22 0.24 0.40 0.57 4.80* 3.77 0.00
17 0.19 1.37* 0.51 0.36 0.15 7.42 0.00
18 0.39 1.27 0.10 1.55* 1.07 5.62 0.00
19 0.13 0.16 0.39 0.33 0.51* 8.48 0.00
20 0.12 0.28 0.40 2.10* 0.89 6.20 0.00
21 1.49 0.27 0.54* 1.54 0.39 5.78 0.00
22 1.54 2.27* 1.54 0.60 0.40 3.67 0.00
23 0.39 0.28 0.40 1.21* 0.25 7.47 0.00
24 0.04 0.09 1.46 0.10 0.04* 8.26 0.00
25 1.31 2.18* 0.73 0.30 0.28 5.17 0.03
(*) 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 Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 1 0 100.0 0 0
149.5 0 0 124.5 0 0 99.5 3 0
149.0 0 0 124.0 2 0 99.0 1 0
148.5 0 0 123.5 0 0 98.5 5 2
148.0 0 0 123.0 1 0 98.0 3 0
147.5 0 0 122.5 0 0 97.5 2 0
147.0 0 0 122.0 0 0 97.0 7 2
146.5 0 0 121.5 2 0 96.5 0 0
146.0 0 0 121.0 0 0 96.0 9 6
145.5 0 0 120.5 1 1 95.5 1 0
145.0 0 0 120.0 0 0 95.0 4 1
144.5 0 0 119.5 3 0 94.5 8 1
144.0 1 0 119.0 0 0 94.0 1 1
143.5 0 0 118.5 0 0 93.5 7 1
143.0 1 0 118.0 2 0 93.0 1 1
142.5 0 0 117.5 0 0 92.5 2 7
142.0 0 0 117.0 1 1 92.0 4 0
141.5 0 0 116.5 2 0 91.5 0 2
141.0 0 0 116.0 0 0 91.0 3 1
140.5 2 0 115.5 0 0 90.5 1 1
140.0 0 0 115.0 1 0 90.0 7 4
139.5 0 0 114.5 1 0 89.5 1 0
139.0 0 0 114.0 0 0 89.0 8 4
138.5 0 0 113.5 2 1 88.5 3 0
138.0 0 0 113.0 0 0 88.0 2 1
137.5 0 0 112.5 1 1 87.5 10 4
137.0 1 1 112.0 0 0 87.0 1 0
136.5 0 0 111.5 0 0 86.5 8 3
136.0 1 0 111.0 2 0 86.0 0 2
135.5 0 0 110.5 0 0 85.5 8 4
135.0 0 0 110.0 2 1 85.0 4 1
134.5 0 0 109.5 0 1 84.5 2 2
134.0 0 0 109.0 3 2 84.0 7 6
133.5 1 0 108.5 2 0 83.5 3 0
133.0 0 0 108.0 0 0 83.0 17 6
132.5 0 0 107.5 2 0 82.5 6 4
132.0 1 0 107.0 0 0 82.0 9 6
131.5 0 0 106.5 2 1 81.5 7 5
131.0 1 0 106.0 0 0 81.0 3 2
130.5 0 0 105.5 5 1 80.5 13 4
130.0 1 0 105.0 0 0 80.0 2 2
129.5 0 0 104.5 3 0 79.5 8 5
129.0 0 0 104.0 3 1 79.0 7 1
128.5 0 0 103.5 0 0 78.5 2 7
128.0 0 0 103.0 2 1 78.0 5 5
127.5 0 0 102.5 0 0 77.5 8 3
127.0 0 0 102.0 4 4 77.0 12 10
126.5 0 0 101.5 2 0 76.5 5 4
126.0 0 0 101.0 1 0 76.0 9 7
125.5 0 0 100.5 4 2 75.5 6 4
American Mathematics Competitions
2003 AMC 12 B Results for Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 11 10 50.0 0 4 25.0 0 0
74.5 5 10 49.5 1 2 24.5 0 0
74.0 2 4 49.0 0 1 24.0 0 0
73.5 13 8 48.5 0 1 23.5 0 0
73.0 5 5 48.0 1 3 23.0 0 0
72.5 8 6 47.5 0 0 22.5 0 0
72.0 6 3 47.0 1 0 22.0 0 0
71.5 3 9 46.5 1 1 21.5 0 0
71.0 14 9 46.0 1 1 21.0 0 0
70.5 7 4 45.5 2 0 20.5 0 0
70.0 10 10 45.0 0 3 20.0 0 0
69.5 2 4 44.5 1 0 19.5 0 0
69.0 8 4 44.0 0 0 19.0 0 0
68.5 15 7 43.5 0 0 18.5 0 0
68.0 5 5 43.0 0 0 18.0 0 0
67.5 9 11 42.5 0 2 17.5 0 0
67.0 5 3 42.0 1 2 17.0 0 0
66.5 3 15 41.5 0 1 16.5 0 0
66.0 8 3 41.0 1 0 16.0 0 0
65.5 1 12 40.5 1 0 15.5 0 0
65.0 16 4 40.0 0 1 15.0 0 0
64.5 6 5 39.5 1 0 14.5 0 0
64.0 1 9 39.0 0 0 14.0 0 0
63.5 5 0 38.5 0 0 13.5 0 0
63.0 6 5 38.0 0 0 13.0 0 0
62.5 4 7 37.5 0 0 12.5 0 0
62.0 4 2 37.0 0 2 12.0 0 0
61.5 1 4 36.5 0 0 11.5 0 0
61.0 6 1 36.0 0 0 11.0 0 1
60.5 1 5 35.5 0 0 10.5 0 0
60.0 2 4 35.0 0 0 10.0 0 0
59.5 4 3 34.5 0 1 9.5 0 0
59.0 2 3 34.0 0 0 9.0 0 0
58.5 0 3 33.5 0 0 8.5 0 0
58.0 1 5 33.0 0 0 8.0 0 0
57.5 6 5 32.5 0 0 7.5 0 0
57.0 1 1 32.0 0 0 7.0 0 0
56.5 5 5 31.5 0 0 6.5 0 0
56.0 3 2 31.0 0 0 6.0 0 0
55.5 3 5 30.5 0 2 5.5 0 0
55.0 2 0 30.0 0 1 5.0 0 0
54.5 1 1 29.5 0 0 4.5 0 0
54.0 4 3 29.0 1 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 2 27.5 0 0 2.5 0 0
52.0 0 2 27.0 0 0 2.0 0 0
51.5 2 4 26.5 0 0 1.5 0 0
51.0 1 3 26.0 0 0 1.0 0 0
50.5 1 1 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 B Results for Washington
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 1 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 1 0 1 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 1 1 0 0
136.5 0 0 0 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 1 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 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 0 0 0
132.0 0 0 0 0 0 0 0 1 0 0
131.5 0 0 0 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 1 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 1 0 0 0
124.5 0 0 0 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 1 1 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0 1 0 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0 0 0 0
121.5 0 0 0 0 0 0 0 2 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 0 2 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 1 1 1 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 1 0 1 0 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 0 2 0 0
116.5 0 0 0 0 0 1 1 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 1 0 0 0
114.5 0 0 0 0 0 0 0 1 0 0
114.0 0 0 0 0 0 0 0 0 0 0
113.5 0 0 0 0 1 1 1 0 0 0
113.0 0 0 0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 0 1 1 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 2 0 0 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 0 3 0 0
109.5 0 0 0 0 0 0 0 1 0 0
109.0 0 0 0 0 0 1 4 0 0 0
108.5 0 0 0 0 0 0 2 0 0 0
108.0 0 0 0 0 0 0 0 0 0 0
107.5 0 0 0 0 1 1 0 0 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 1 2 0 0 0
106.0 0 0 0 0 0 0 0 0 0 0
105.5 0 0 0 0 2 1 2 1 0 0
105.0 0 0 0 0 0 0 0 0 0 0
104.5 0 0 0 0 0 1 1 1 0 0
104.0 0 0 0 0 0 0 1 3 0 0
103.5 0 0 0 0 0 0 0 0 0 0
103.0 0 0 0 0 0 0 1 2 0 0
102.5 0 0 0 0 0 0 0 0 0 0
102.0 0 0 0 0 1 0 3 4 0 0
101.5 0 0 0 0 0 1 0 1 0 0
101.0 0 0 0 0 0 0 0 1 0 0
100.5 0 0 0 0 1 1 0 4 0 0
100.0 0 0 0 0 0 0 0 0 0 0
99.5 0 0 0 0 0 0 1 3 0 0
99.0 0 0 0 0 0 1 0 0 0 0
98.5 0 0 0 0 2 0 2