American Mathematics Competitions
2003 AMC 10 A Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 5541
Number of unofficial participants: 0
Average score of participants: 74.7
Average score for female students is: 71.2 ( 2648 Students)
Average score for male students is: 77.8 ( 2445 Students)
Average score for unspecified gender is 77.7 ( 448 Students)
Average score for grade 10 is: 75.9 ( 2646 Students)
Average score for grade 9 is: 72.3 ( 2400 Students)
Average score for grade 8 and below is: 78.9 ( 250 Students)
Average score with unknown grade: 79.2 ( 245 Students)
AIME qualifying score = 119.0 or better
Number of AIME qualifers 95
Number of schools returning results 149
Average school winning score 109.61
American Mathematics Competitions
2003 AMC 12 A Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 6727
Number of unofficial participants: 0
Average score of participants: 80.3
Average score for female students is: 76.1 ( 2898 Students)
Average score for male students is: 83.4 ( 3531 Students)
Average score for unspecified gender is 83.6 ( 298 Students)
Average score for grade 13 is: 90.3 ( 3 Students)
Average score for grade 12 is: 82.7 ( 2426 Students)
Average score for grade 11 is: 79.0 ( 3300 Students)
Average score for grade 10 is: 78.4 ( 617 Students)
Average score for grade 9 is: 75.9 ( 235 Students)
Average score for grade 8 and below is: 93.7 ( 9 Students)
Average score with unknown grade: 85.3 ( 137 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 1014
Number of schools returning results 174
Average school winning score 113.08
Average school team score 311.89
American Mathematics Competitions
2003 AMC 10 B Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3204
Number of unofficial participants: 92
Average score of participants: 78.6
Average score for female students is: 75.4 ( 1466 Students)
Average score for male students is: 81.5 ( 1558 Students)
Average score for unspecified gender is 80.4 ( 180 Students)
Average score for grade 10 is: 81.2 ( 1579 Students)
Average score for grade 9 is: 77.0 ( 1303 Students)
Average score for grade 8 and below is: 68.9 ( 224 Students)
Average score with unknown grade: 81.7 ( 98 Students)
AIME qualifying score = 121.0 or better
Number of AIME qualifers 34
Number of schools returning results 100
Average school winning score 109.75
American Mathematics Competitions
2003 AMC 12 B Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4561
Number of unofficial participants: 211
Average score of participants: 77.4
Average score for female students is: 73.0 ( 1906 Students)
Average score for male students is: 80.7 ( 2471 Students)
Average score for unspecified gender is 78.0 ( 184 Students)
Average score for grade 13 is: 85.0 ( 2 Students)
Average score for grade 12 is: 78.7 ( 1918 Students)
Average score for grade 11 is: 76.1 ( 2140 Students)
Average score for grade 10 is: 79.6 ( 334 Students)
Average score for grade 9 is: 76.3 ( 76 Students)
Average score for grade 8 and below is: 72.1 ( 26 Students)
Average score with unknown grade: 74.9 ( 65 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 465
Number of schools returning results 123
Average school winning score 111.19
Average school team score 299.11
2003 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 0 6 1 0
149.5 0 0 0 0
149.0 0 0 0 0
148.5 0 0 0 0
148.0 0 0 0 0
147.5 0 0 0 0
147.0 0 0 0 0
146.5 0 0 0 0
146.0 0 0 0 0
145.5 0 0 0 0
145.0 0 0 0 0
144.5 0 0 0 0
144.0 7 1 4 2
143.5 0 0 0 0
143.0 3 1 0 1
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 3 0 1 0
140.0 0 0 0 0
139.5 1 1 0 0
139.0 0 0 0 0
138.5 0 0 0 0
138.0 1 3 3 1
137.5 0 0 0 0
137.0 2 1 2 1
136.5 0 0 0 0
136.0 1 0 1 0
135.5 0 0 0 0
135.0 0 0 0 0
134.5 0 5 2 1
134.0 0 0 0 0
133.5 4 1 1 1
133.0 0 0 0 0
132.5 3 1 0 0
132.0 1 1 5 4
131.5 0 0 0 0
131.0 3 0 3 0
130.5 0 0 0 0
130.0 1 0 4 2
129.5 0 0 0 0
129.0 5 6 2 0
128.5 2 2 1 0
128.0 0 0 0 0
127.5 5 0 9 2
127.0 0 0 0 0
126.5 2 10 5 2
126.0 3 2 0 0
125.5 2 2 1 1
125.0 1 4 1 4
124.5 0 0 0 0
124.0 6 4 7 1
123.5 0 0 0 0
123.0 6 9 4 3
122.5 3 2 3 1
122.0 15 3 5 3
121.5 4 5 7 4
121.0 0 0 0 0
120.5 7 6 9 11
120.0 2 1 3 4
119.5 10 5 6 3
119.0 1 2 3 2
118.5 21 7 3 0
118.0 6 7 6 7
117.5 0 0 0 0
117.0 15 9 2 7
116.5 1 0 0 3
116.0 17 9 6 4
115.5 0 2 3 4
115.0 16 3 1 2
114.5 13 9 15 5
114.0 0 3 1 0
113.5 25 8 14 7
113.0 3 2 5 6
112.5 40 13 8 12
112.0 7 1 5 8
111.5 26 14 1 6
111.0 15 6 14 15
110.5 1 2 0 0
110.0 34 18 12 14
109.5 5 2 4 9
109.0 50 14 9 9
108.5 10 4 18 12
108.0 32 23 7 5
107.5 38 12 30 14
107.0 2 1 3 2
106.5 60 21 15 11
106.0 16 3 8 7
105.5 66 31 11 13
105.0 18 5 21 17
104.5 25 16 4 6
104.0 29 20 28 15
103.5 8 1 4 8
103.0 65 26 26 16
102.5 20 4 14 9
102.0 77 32 15 16
101.5 37 11 28 15
101.0 42 14 8 11
100.5 61 27 28 35
100.0 6 1 8 6
99.5 79 33 31 23
99.0 22 7 17 16
98.5 52 36 10 20
98.0 47 17 47 34
97.5 16 8 8 13
97.0 82 29 36 34
96.5 10 5 17 11
96.0 85 63 25 35
95.5 34 13 35 14
95.0 69 42 18 25
94.5 69 35 48 29
94.0 17 5 13 25
93.5 97 60 48 31
93.0 27 6 23 23
92.5 69 60 28 38
92.0 50 21 48 29
91.5 34 19 11 31
91.0 78 29 56 32
90.5 19 10 22 22
90.0 113 70 49 44
89.5 32 21 32 15
89.0 106 81 45 42
88.5 61 24 58 24
88.0 37 34 19 29
87.5 86 55 66 29
87.0 28 12 26 16
86.5 102 79 65 51
86.0 30 18 52 15
85.5 61 50 46 48
85.0 83 46 53 32
84.5 40 27 29 24
84.0 96 74 72 43
83.5 33 20 40 19
83.0 120 104 61 53
82.5 48 28 66 17
82.0 67 47 42 37
81.5 75 54 66 33
81.0 41 26 37 33
80.5 106 86 79 54
80.0 47 27 60 30
79.5 84 52 54 38
79.0 76 49 79 32
78.5 63 43 44 33
78.0 121 75 98 46
77.5 36 31 47 27
77.0 113 91 81 45
76.5 43 31 50 25
76.0 53 69 49 34
75.5 62 51 76 37
75.0 51 31 51 33
74.5 100 93 78 36
74.0 45 40 50 27
73.5 82 76 68 51
73.0 55 34 67 27
72.5 59 48 46 29
72.0 99 68 80 42
71.5 54 31 52 32
71.0 103 78 63 48
70.5 45 33 64 24
70.0 64 56 48 31
69.5 62 40 63 26
69.0 61 43 53 25
68.5 73 63 65 27
68.0 49 30 60 26
67.5 59 59 66 38
67.0 54 37 61 21
66.5 65 45 48 26
66.0 83 58 74 30
65.5 55 33 45 29
65.0 69 73 67 28
64.5 37 34 39 23
64.0 41 46 54 22
63.5 41 33 33 10
63.0 37 36 43 11
62.5 62 55 65 23
62.0 42 29 44 14
61.5 36 32 49 17
61.0 33 32 42 21
60.5 37 24 47 15
60.0 65 51 74 27
59.5 39 23 41 17
59.0 48 43 42 17
58.5 40 25 42 15
58.0 28 18 44 15
57.5 38 26 37 11
57.0 30 19 35 16
56.5 35 42 39 10
56.0 27 18 35 17
55.5 37 14 33 17
55.0 29 29 24 9
54.5 28 20 35 15
54.0 44 41 54 17
53.5 25 11 30 10
53.0 19 22 30 11
52.5 25 16 22 5
52.0 19 13 18 9
51.5 18 12 29 4
51.0 18 14 18 7
50.5 16 20 25 16
50.0 11 13 24 10
49.5 16 10 22 13
49.0 18 13 27 5
48.5 12 10 18 8
48.0 33 25 41 21
47.5 13 9 15 5
47.0 13 6 11 6
46.5 16 8 19 8
46.0 15 4 19 5
45.5 7 9 11 7
45.0 7 10 25 5
44.5 8 6 15 9
44.0 6 14 9 2
43.5 3 3 7 5
43.0 5 7 13 3
42.5 5 4 11 9
42.0 14 21 29 12
41.5 8 5 8 3
41.0 4 7 8 3
40.5 5 5 6 3
40.0 7 1 10 2
39.5 1 3 9 1
39.0 7 4 9 4
38.5 4 1 6 6
38.0 3 1 3 4
37.5 2 3 2 0
37.0 3 0 3 3
36.5 2 5 6 1
36.0 18 12 10 14
35.5 5 2 2 1
35.0 3 4 5 2
34.5 1 1 5 2
34.0 3 1 6 1
33.5 0 0 2 0
33.0 0 2 5 4
32.5 0 3 3 2
32.0 2 0 5 0
31.5 1 2 3 2
31.0 3 1 0 0
30.5 0 0 2 2
30.0 12 9 13 14
29.5 0 1 2 3
29.0 1 0 2 0
28.5 2 0 2 1
28.0 3 2 4 2
27.5 1 0 0 0
27.0 0 0 2 1
26.5 1 0 1 3
26.0 1 0 1 0
25.5 4 0 1 2
25.0 0 0 0 0
24.5 1 0 2 1
24.0 2 4 9 13
23.5 0 1 0 0
23.0 0 3 3 0
22.5 1 0 0 0
22.0 0 0 2 1
21.5 0 0 0 0
21.0 0 0 0 0
20.5 1 0 1 1
20.0 0 0 0 0
19.5 0 0 0 0
19.0 0 0 0 0
18.5 0 0 0 0
18.0 0 1 6 8
17.5 0 0 0 0
17.0 0 0 1 0
16.5 0 0 0 0
16.0 0 0 1 0
15.5 0 0 0 0
15.0 0 0 0 0
14.5 0 0 0 1
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 2 3
11.5 0 0 0 0
11.0 0 0 0 0
10.5 0 0 0 0
10.0 0 0 0 0
9.5 0 0 0 0
9.0 0 0 0 0
8.5 0 0 0 0
8.0 0 0 0 0
7.5 0 0 0 0
7.0 0 0 0 0
6.5 0 0 0 0
6.0 0 0 0 0
5.5 0 0 0 0
5.0 0 0 0 0
4.5 0 0 0 0
4.0 0 0 0 0
3.5 0 0 0 0
3.0 0 0 0 0
2.5 0 0 0 0
2.0 0 0 0 0
1.5 0 0 0 0
1.0 0 0 0 0
0.5 0 0 0 0
0 0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 0 125.0 1 0 100.0 4 4
149.5 0 0 124.5 0 0 99.5 16 11
149.0 0 0 124.0 4 1 99.0 12 5
148.5 0 0 123.5 0 0 98.5 4 5
148.0 0 0 123.0 3 0 98.0 27 17
147.5 0 0 122.5 2 0 97.5 4 4
147.0 0 0 122.0 4 1 97.0 23 10
146.5 0 0 121.5 4 2 96.5 8 6
146.0 0 0 121.0 0 0 96.0 17 7
145.5 0 0 120.5 5 3 95.5 15 15
145.0 0 0 120.0 2 1 95.0 8 10
144.5 0 0 119.5 4 2 94.5 24 20
144.0 3 1 119.0 1 2 94.0 7 6
143.5 0 0 118.5 2 0 93.5 24 21
143.0 0 0 118.0 6 0 93.0 13 9
142.5 0 0 117.5 0 0 92.5 12 13
142.0 0 0 117.0 1 1 92.0 23 17
141.5 0 0 116.5 0 0 91.5 5 6
141.0 0 0 116.0 5 1 91.0 29 24
140.5 1 0 115.5 3 0 90.5 18 4
140.0 0 0 115.0 1 0 90.0 24 23
139.5 0 0 114.5 11 4 89.5 15 12
139.0 0 0 114.0 1 0 89.0 17 22
138.5 0 0 113.5 7 5 88.5 33 19
138.0 3 0 113.0 4 0 88.0 2 14
137.5 0 0 112.5 6 1 87.5 35 21
137.0 2 0 112.0 4 1 87.0 12 13
136.5 0 0 111.5 1 0 86.5 34 21
136.0 0 1 111.0 11 3 86.0 26 23
135.5 0 0 110.5 0 0 85.5 22 22
135.0 0 0 110.0 8 2 85.0 21 28
134.5 1 1 109.5 3 0 84.5 10 15
134.0 0 0 109.0 7 1 84.0 31 35
133.5 1 0 108.5 8 8 83.5 17 23
133.0 0 0 108.0 4 1 83.0 24 32
132.5 0 0 107.5 22 3 82.5 29 31
132.0 5 0 107.0 3 0 82.0 17 20
131.5 0 0 106.5 12 1 81.5 36 26
131.0 1 1 106.0 2 4 81.0 22 9
130.5 0 0 105.5 4 5 80.5 35 37
130.0 4 0 105.0 15 3 80.0 32 22
129.5 0 0 104.5 1 3 79.5 20 31
129.0 1 1 104.0 19 6 79.0 37 39
128.5 1 0 103.5 3 0 78.5 13 27
128.0 0 0 103.0 15 7 78.0 34 54
127.5 6 1 102.5 9 3 77.5 20 22
127.0 0 0 102.0 6 8 77.0 37 39
126.5 4 0 101.5 14 10 76.5 23 21
126.0 0 0 101.0 4 4 76.0 16 28
125.5 0 1 100.5 18 6 75.5 38 33
American Mathematics Competitions
2003 AMC 10 A Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 21 26 50.0 6 17 25.0 0 0
74.5 34 37 49.5 5 16 24.5 1 1
74.0 24 24 49.0 8 19 24.0 1 8
73.5 27 37 48.5 3 13 23.5 0 0
73.0 29 32 48.0 13 24 23.0 1 2
72.5 14 29 47.5 5 8 22.5 0 0
72.0 36 38 47.0 5 6 22.0 1 0
71.5 26 21 46.5 5 14 21.5 0 0
71.0 27 31 46.0 5 14 21.0 0 0
70.5 23 34 45.5 5 5 20.5 1 0
70.0 24 21 45.0 15 10 20.0 0 0
69.5 26 28 44.5 5 8 19.5 0 0
69.0 19 30 44.0 5 3 19.0 0 0
68.5 20 40 43.5 1 5 18.5 0 0
68.0 20 34 43.0 7 5 18.0 2 3
67.5 23 40 42.5 5 4 17.5 0 0
67.0 28 27 42.0 13 15 17.0 0 1
66.5 19 26 41.5 4 3 16.5 0 0
66.0 31 38 41.0 3 5 16.0 0 1
65.5 18 26 40.5 4 2 15.5 0 0
65.0 25 37 40.0 2 8 15.0 0 0
64.5 11 26 39.5 7 2 14.5 0 0
64.0 28 23 39.0 1 8 14.0 0 0
63.5 10 20 38.5 1 4 13.5 0 0
63.0 8 30 38.0 1 2 13.0 0 0
62.5 25 34 37.5 1 1 12.5 0 0
62.0 17 24 37.0 0 3 12.0 1 1
61.5 21 27 36.5 1 5 11.5 0 0
61.0 21 18 36.0 2 6 11.0 0 0
60.5 17 21 35.5 0 1 10.5 0 0
60.0 35 32 35.0 1 3 10.0 0 0
59.5 17 23 34.5 2 3 9.5 0 0
59.0 16 23 34.0 3 3 9.0 0 0
58.5 21 20 33.5 1 1 8.5 0 0
58.0 13 28 33.0 2 2 8.0 0 0
57.5 16 20 32.5 2 1 7.5 0 0
57.0 15 20 32.0 2 3 7.0 0 0
56.5 17 20 31.5 1 1 6.5 0 0
56.0 10 22 31.0 0 0 6.0 0 0
55.5 10 19 30.5 0 2 5.5 0 0
55.0 9 14 30.0 6 7 5.0 0 0
54.5 10 23 29.5 1 1 4.5 0 0
54.0 28 21 29.0 1 1 4.0 0 0
53.5 4 25 28.5 2 0 3.5 0 0
53.0 12 18 28.0 1 3 3.0 0 0
52.5 9 13 27.5 0 0 2.5 0 0
52.0 9 8 27.0 0 2 2.0 0 0
51.5 5 21 26.5 1 0 1.5 0 0
51.0 8 9 26.0 0 1 1.0 0 0
50.5 7 17 25.5 1 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for California
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 unknown
---------------------------
150.0 0 0 0 1 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 2 2 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 1 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 3 0 0
137.5 0 0 0 0 0 0 0
137.0 0 0 0 1 0 1 0
136.5 0 0 0 0 0 0 0
136.0 0 0 0 0 0 1 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 1 1 0
134.0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 1 0
133.0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0
132.0 0 0 0 1 2 2 0
131.5 0 0 0 0 0 0 0
131.0 0 0 1 0 1 0 1
130.5 0 0 0 0 0 0 0
130.0 0 0 0 0 2 2 0
129.5 0 0 0 0 0 0 0
129.0 0 0 0 0 0 2 0
128.5 0 0 0 0 0 1 0
128.0 0 0 0 0 0 0 0
127.5 0 0 0 0 4 5 0
127.0 0 0 0 0 0 0 0
126.5 0 0 0 0 1 3 1
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 1 0
124.5 0 0 0 0 0 0 0
124.0 0 0 0 0 1 4 2
123.5 0 0 0 0 0 0 0
123.0 0 0 0 0 1 2 1
122.5 0 0 0 0 1 2 0
122.0 0 0 0 0 0 5 0
121.5 0 0 1 0 4 2 0
121.0 0 0 0 0 0 0 0
120.5 0 0 2 0 4 3 0
120.0 0 1 0 0 1 1 0
119.5 0 0 0 0 1 5 0
119.0 0 1 0 0 1 1 0
118.5 0 0 0 0 1 2 0
118.0 0 0 0 1 1 4 0
117.5 0 0 0 0 0 0 0
117.0 0 0 0 0 0 2 0
116.5 0 0 0 0 0 0 0
116.0 0 1 0 2 0 3 0
115.5 0 0 0 0 1 2 0
115.0 0 0 0 0 0 1 0
114.5 0 0 0 0 4 11 0
114.0 0 0 0 0 0 1 0
113.5 0 0 0 1 4 7 2
113.0 0 0 0 0 3 2 0
112.5 0 0 0 0 2 5 1
112.0 0 0 0 0 2 3 0
111.5 0 0 0 0 0 1 0
111.0 0 0 2 0 4 8 0
110.5 0 0 0 0 0 0 0
110.0 0 0 1 1 4 4 2
109.5 0 0 1 0 1 0 2
109.0 0 0 1 0 4 3 1
108.5 0 0 0 3 6 8 1
108.0 0 0 0 0 3 2 2
107.5 0 0 2 2 11 10 5
107.0 0 0 0 2 0 1 0
106.5 0 0 0 0 7 6 2
106.0 0 0 0 0 1 5 2
105.5 0 0 1 0 7 2 1
105.0 0 0 0 1 6 12 2
104.5 0 0 0 0 0 4 0
104.0 0 0 0 0 11 16 1
103.5 0 0 0 0 2 1 1
103.0 0 0 0 0 14 11 1
102.5 0 0 1 1 3 8 1
102.0 0 0 0 0 8 6 1
101.5 0 0 0 1 12 13 2
101.0 0 0 0 1 3 4 0
100.5 0 0 1 0 6 18 3
100.0 0 0 0 0 1 7 0
99.5 0 0 1 0 9 19 2
99.0 0 0 0 0 7 10 0
98.5 0 0 0 0 2 6 2
98.0 0 1 1 3 14 26 2
97.5 0 0 0 1 2 5 0
97.0 0 0 2 3 13 16 2
96.5 0 0 0 1 2 12 2
96.0 0 0 0 2 9 13 1
95.5 0 0 0 0 12 20 3
95.0 0 0 1 1 8 8 0
94.5 0 0 0 2 17 28 1
94.0 0 0 0 1 6 6 0
93.5 0 0 0 0 24 23 1
93.0 0 0 1 1 6 14 1
92.5 0 0 0 1 10 16 1
92.0 0 0 0 2 18 22 6
91.5 0 0 0 0 5 6 0
91.0 0 0 3 0 13 38 2
90.5 0 0 0 0 10 12 0
90.0 0 0 1 2 20 24 2
89.5 0 0 0 0 12 18 2
89.0 0 0 1 3 23 14 4
88.5 0 1 0 1 22 31 3
88.0 0 0 0 0 10 9 0
87.5 0 0 0 0 20 43 3
87.0 0 0 0 1 10 14 1
86.5 0 0 0 1 30 27 7
86.0 0 0 0 7 16 28 1
85.5 0 0 0 3 16 26 1
85.0 0 0 0 4 22 25 2
84.5 0 0 0 0 11 15 3
84.0 0 0 0 2 28 37 5
83.5 0 0 2 1 10 27 0
83.0 0 0 2 1 27 28 3
82.5 0 0 1 1 29 32 3
82.0 0 0 0 0 28 11 3
81.5 0 0 1 1 25 37 2
81.0 0 0 0 3 10 19 5
80.5 0 0 1 4 32 41 1
80.0 0 0 0 5 18 33 4
79.5 0 1 0 0 21 31 1
79.0 0 0 0 0 35 44 0
78.5 0 0 0 3 18 21 2
78.0 0 0 1 8 45 40 4
77.5 0 0 0 2 23 18 4
77.0 0 0 1 3 39 38 0
76.5 0 0 1 4 17 26 2
76.0 0 0 0 0 30 17 2
75.5 0 0 2 1 32 39 2
75.0 0 0 2 2 24 19 4
74.5 0 1 0 0 42 32 3
74.0 0 0 1 0 22 25 2
73.5 0 0 3 1 34 30 0
73.0 0 0 1 1 26 34 5
72.5 0 1 0 0 17 26 2
72.0 0 0 1 1 29 48 1
71.5 0 0 0 0 19 29 4
71.0 0 0 0 3 25 33 2
70.5 0 0 0 2 25 32 5
70.0 0 1 2 1 22 21 1
69.5 0 0 0 1 27 32 3
69.0 0 1 1 1 24 21 5
68.5 0 0 0 3 29 31 2
68.0 0 0 0 1 19 33 7
67.5 0 0 1 2 27 34 2
67.0 0 0 1 2 28 24 6
66.5 0 0 0 0 18 29 1
66.0 0 0 0 3 38 30 3
65.5 0 0 0 1 23 21 0
65.0 0 0 0 2 35 28 2
64.5 0 0 0 0 23 16 0
64.0 0 0 0 2 27 24 1
63.5 0 0 0 1 14 16 2
63.0 0 0 1 0 21 18 3
62.5 0 1 0 3 34 27 0
62.0 0 0 0 2 23 18 1
61.5 0 0 0 1 24 23 1
61.0 0 0 0 0 20 21 1
60.5 0 0 1 1 24 16 5
60.0 0 0 1 1 36 35 1
59.5 0 0 0 3 22 16 0
59.0 0 0 1 0 28 12 1
58.5 0 1 0 1 24 14 2
58.0 0 0 0 0 25 17 2
57.5 0 0 0 4 16 16 1
57.0 0 0 0 1 17 16 1
56.5 0 0 1 1 18 16 3
56.0 0 0 1 0 21 13 0
55.5 0 0 0 1 20 11 1
55.0 0 0 1 1 10 11 1
54.5 0 0 0 1 18 12 4
54.0 0 0 0 3 21 26 4
53.5 0 0 0 0 12 18 0
53.0 0 0 0 1 14 15 0
52.5 0 0 0 1 14 7 0
52.0 0 0 0 0 9 9 0
51.5 0 0 0 1 14 14 0
51.0 0 0 0 0 11 7 0
50.5 0 0 0 0 14 10 1
50.0 0 0 0 1 10 13 0
49.5 0 0 0 1 14 5 2
49.0 0 0 0 1 14 12 0
48.5 0 0 0 0 9 8 1
48.0 0 0 1 1 18 20 1
47.5 0 0 0 0 10 4 1
47.0 0 0 0 1 6 4 0
46.5 0 0 1 1 10 7 0
46.0 0 0 0 1 5 13 0
45.5 0 0 0 1 7 2 1
45.0 0 0 0 0 15 10 0
44.5 0 0 0 1 10 4 0
44.0 0 0 0 0 6 3 0
43.5 0 0 0 1 3 3 0
43.0 0 0 0 0 9 4 0
42.5 0 1 0 0 4 6 0
42.0 0 0 0 1 16 11 1
41.5 0 0 1 0 1 5 1
41.0 0 0 0 0 4 4 0
40.5 0 0 0 0 3 3 0
40.0 0 0 1 0 5 4 0
39.5 0 0 0 1 2 6 0
39.0 0 0 1 0 5 3 0
38.5 0 0 0 0 2 4 0
38.0 0 0 0 0 1 2 0
37.5 0 0 0 0 2 0 0
37.0 0 0 0 0 0 3 0
36.5 0 0 0 1 3 2 0
36.0 0 0 0 1 3 5 1
35.5 0 0 0 0 2 0 0
35.0 0 0 0 0 2 2 1
34.5 0 0 0 1 1 2 1
34.0 0 0 0 1 3 2 0
33.5 0 0 1 0 0 1 0
33.0 0 0 0 0 3 1 1
32.5 0 0 0 0 2 1 0
32.0 0 0 0 1 1 3 0
31.5 0 0 0 0 1 2 0
31.0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 2 0
30.0 0 0 0 0 9 4 0
29.5 0 0 0 0 0 2 0
29.0 0 0 0 0 1 1 0
28.5 0 0 0 0 1 1 0
28.0 0 0 0 0 2 2 0
27.5 0 0 0 0 0 0 0
27.0 0 0 0 0 2 0 0
26.5 0 0 0 0 1 0 0
26.0 0 0 0 0 1 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 1 1 0
24.0 0 0 0 0 7 2 0
23.5 0 0 0 0 0 0 0
23.0 0 0 0 0 0 3 0
22.5 0 0 0 0 0 0 0
22.0 0 0 0 0 0 1 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 1 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 4 2 0
17.5 0 0 0 0 0 0 0
17.0 0 0 0 0 1 0 0
16.5 0 0 0 0 0 0 0
16.0 0 0 0 0 0 1 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 1 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 California
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 0.63 2.26 0.78 4.11* 0.43 1.78 0.00
2 0.04 8.54* 0.16 0.88 0.04 0.34 0.00
3 0.46 2.27 0.41 4.17* 0.36 2.33 0.00
4 4.37* 0.22 0.27 3.40 0.08 1.66 0.00
5 0.76 6.29* 0.20 0.09 0.08 2.58 0.00
6 1.43 2.02 2.67* 0.63 0.78 2.47 0.01
7 1.62 2.12* 1.10 1.87 0.47 2.82 0.00
8 1.10 0.54 0.37 0.29 6.52* 1.19 0.00
9 2.07* 0.53 1.49 1.82 0.08 4.02 0.00
10 0.61 0.47 0.78 1.26 4.05* 2.83 0.00
11 0.24 0.15 0.20 0.22 6.76* 2.42 0.01
12 2.89* 2.93 0.22 0.90 0.78 2.27 0.00
13 6.55* 0.30 0.25 0.16 0.05 2.68 0.00
14 1.75* 1.25 0.46 0.86 1.12 4.56 0.00
15 0.75 1.72 4.11* 0.60 0.69 2.13 0.00
16 0.80 0.81 2.61* 0.19 0.68 4.91 0.00
17 0.54 1.04* 0.26 0.31 0.39 7.47 0.00
18 0.64 0.58* 0.26 0.58 0.61 7.32 0.00
19 0.26 0.39 0.63* 0.18 0.20 8.34 0.00
20 0.48 0.25 0.33 0.35 0.47* 8.12 0.00
21 0.60 0.43 1.21 1.69* 2.18 3.88 0.00
22 0.69 2.28* 0.59 0.20 0.09 6.15 0.00
23 0.33 0.30 0.84* 0.59 0.64 7.29 0.00
24 0.16 0.35 0.58 0.56 4.28* 4.07 0.00
25 0.18 0.44* 0.33 0.20 0.26 8.58 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 California
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 6 0
149.5 0 0 124.5 0 0 99.5 45 29
149.0 0 0 124.0 5 0 99.0 13 9
148.5 0 0 123.5 0 0 98.5 32 18
148.0 0 0 123.0 4 1 98.0 27 18
147.5 0 0 122.5 2 1 97.5 11 4
147.0 0 0 122.0 8 5 97.0 53 25
146.5 0 0 121.5 2 2 96.5 6 3
146.0 0 0 121.0 0 0 96.0 49 32
145.5 0 0 120.5 6 1 95.5 21 10
145.0 0 0 120.0 2 0 95.0 42 23
144.5 0 0 119.5 10 0 94.5 40 25
144.0 6 0 119.0 1 0 94.0 6 10
143.5 0 0 118.5 15 6 93.5 62 32
143.0 2 1 118.0 6 0 93.0 20 6
142.5 0 0 117.5 0 0 92.5 36 30
142.0 0 0 117.0 13 1 92.0 34 11
141.5 0 0 116.5 1 0 91.5 22 11
141.0 0 0 116.0 14 3 91.0 50 25
140.5 3 0 115.5 0 0 90.5 9 10
140.0 0 0 115.0 10 4 90.0 68 39
139.5 0 0 114.5 10 3 89.5 20 12
139.0 0 0 114.0 0 0 89.0 57 45
138.5 0 0 113.5 19 5 88.5 38 19
138.0 1 0 113.0 2 1 88.0 23 13
137.5 0 0 112.5 30 9 87.5 45 40
137.0 2 0 112.0 6 0 87.0 14 8
136.5 0 0 111.5 16 9 86.5 57 42
136.0 1 0 111.0 8 7 86.0 18 9
135.5 0 0 110.5 1 0 85.5 27 32
135.0 0 0 110.0 21 10 85.0 52 27
134.5 0 0 109.5 4 0 84.5 22 15
134.0 0 0 109.0 32 12 84.0 52 42
133.5 3 1 108.5 9 1 83.5 14 17
133.0 0 0 108.0 18 10 83.0 66 50
132.5 2 1 107.5 28 6 82.5 29 18
132.0 1 0 107.0 2 0 82.0 33 31
131.5 0 0 106.5 33 22 81.5 33 39
131.0 2 0 106.0 14 1 81.0 18 22
130.5 0 0 105.5 44 16 80.5 59 39
130.0 1 0 105.0 13 4 80.0 27 20
129.5 0 0 104.5 18 7 79.5 33 50
129.0 4 1 104.0 18 9 79.0 40 34
128.5 2 0 103.5 3 4 78.5 33 29
128.0 0 0 103.0 45 16 78.0 60 56
127.5 5 0 102.5 12 5 77.5 17 19
127.0 0 0 102.0 50 24 77.0 60 51
126.5 1 0 101.5 26 9 76.5 25 15
126.0 3 0 101.0 25 14 76.0 22 31
125.5 1 1 100.5 44 12 75.5 23 36
American Mathematics Competitions
2003 AMC 12 A Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 20 28 50.0 5 6 25.0 0 0
74.5 48 47 49.5 7 9 24.5 0 1
74.0 19 24 49.0 5 12 24.0 2 0
73.5 33 45 48.5 5 7 23.5 0 0
73.0 26 27 48.0 15 16 23.0 0 0
72.5 25 33 47.5 8 5 22.5 0 1
72.0 52 41 47.0 7 6 22.0 0 0
71.5 19 34 46.5 5 11 21.5 0 0
71.0 45 56 46.0 3 12 21.0 0 0
70.5 21 22 45.5 2 5 20.5 0 1
70.0 27 35 45.0 3 3 20.0 0 0
69.5 30 32 44.5 1 7 19.5 0 0
69.0 24 36 44.0 2 3 19.0 0 0
68.5 36 35 43.5 2 1 18.5 0 0
68.0 16 31 43.0 2 3 18.0 0 0
67.5 27 31 42.5 1 3 17.5 0 0
67.0 25 26 42.0 7 6 17.0 0 0
66.5 33 28 41.5 4 4 16.5 0 0
66.0 38 42 41.0 2 2 16.0 0 0
65.5 20 32 40.5 1 4 15.5 0 0
65.0 29 38 40.0 2 4 15.0 0 0
64.5 13 23 39.5 0 1 14.5 0 0
64.0 21 19 39.0 3 4 14.0 0 0
63.5 21 20 38.5 1 3 13.5 0 0
63.0 10 26 38.0 1 2 13.0 0 0
62.5 24 34 37.5 0 2 12.5 0 0
62.0 16 23 37.0 2 1 12.0 2 0
61.5 22 13 36.5 0 2 11.5 0 0
61.0 12 20 36.0 9 8 11.0 0 0
60.5 17 18 35.5 1 4 10.5 0 0
60.0 34 29 35.0 2 1 10.0 0 0
59.5 14 21 34.5 0 1 9.5 0 0
59.0 18 30 34.0 1 1 9.0 0 0
58.5 24 16 33.5 0 0 8.5 0 0
58.0 10 18 33.0 0 0 8.0 0 0
57.5 20 17 32.5 0 0 7.5 0 0
57.0 15 14 32.0 2 0 7.0 0 0
56.5 11 20 31.5 0 1 6.5 0 0
56.0 12 15 31.0 0 3 6.0 0 0
55.5 17 17 30.5 0 0 5.5 0 0
55.0 15 13 30.0 4 7 5.0 0 0
54.5 11 17 29.5 0 0 4.5 0 0
54.0 24 17 29.0 1 0 4.0 0 0
53.5 9 13 28.5 1 1 3.5 0 0
53.0 7 12 28.0 1 1 3.0 0 0
52.5 12 13 27.5 0 1 2.5 0 0
52.0 9 9 27.0 0 0 2.0 0 0
51.5 5 12 26.5 1 0 1.5 0 0
51.0 5 13 26.0 1 0 1.0 0 0
50.5 5 8 25.5 2 2 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for California
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 1 1 0 4 0 1
143.5 0 0 0 0 0 0 0 0 0 0
143.0 0 0 0 0 0 1 2 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 3 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 1
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 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 2 2 0 0
133.0 0 0 0 0 0 0 0 0 0 0
132.5 0 0 0 0 1 0 1 1 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 2 1 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 3 2 0 0
128.5 0 0 0 0 0 0 0 2 0 0
128.0 0 0 0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 1 2 2 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 1
126.0 0 0 0 0 0 0 1 2 0 0
125.5 0 0 0 0 0 1 0 1 0 0
125.0 0 0 0 0 0 0 0 1 0 0
124.5 0 0 0 0 0 0 0 0 0 0
124.0 0 0 0 0 0 1 1 4 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 2 3 0 1
122.5 0 0 0 1 1 0 0 1 0 0
122.0 0 0 0 0 1 1 7 6 0 0
121.5 0 0 0 0 0 0 3 1 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 2 2 3 0 0
120.0 0 0 0 0 0 1 1 0 0 0
119.5 0 0 0 0 0 0 4 6 0 0
119.0 0 0 0 0 0 0 0 1 0 0
118.5 0 0 0 0 1 1 5 13 0 1
118.0 0 0 0 0 0 0 3 3 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 1 8 6 0 0
116.5 0 0 0 0 0 1 0 0 0 0
116.0 0 0 0 0 0 2 5 10 0 0
115.5 0 0 0 0 0 0 0 0 0 0
115.0 0 0 0 0 1 0 6 8 0 1
114.5 0 0 0 0 1 0 6 6 0 0
114.0 0 0 0 0 0 0 0 0 0 0
113.5 0 0 0 0 1 3 10 11 0 0
113.0 0 0 0 0 0 1 1 1 0 0
112.5 0 0 0 0 0 3 17 20 0 0
112.0 0 0 0 0 1 0 3 2 0 1
111.5 0 0 0 0 1 1 9 13 1 1
111.0 0 0 0 0 0 1 7 7 0 0
110.5 0 0 0 0 0 0 0 1 0 0
110.0 0 0 0 0 0 1 19 14 0 0
109.5 0 0 0 0 0 0 3 2 0 0
109.0 0 0 0 0 1 4 18 24 0 3
108.5 0 0 0 0 1 1 4 4 0 0
108.0 0 0 0 1 0 1 15 13 0 2
107.5 0 0 0 0 1 2 18 15 0 2
107.0 0 0 0 0 0 0 1 1 0 0
106.5 0 0 0 0 0 3 31 23 0 3
106.0 0 0 0 0 0 0 10 5 0 1
105.5 0 0 0 1 0 4 28 31 0 2
105.0 0 0 0 0 1 2 8 6 0 1
104.5 0 0 0 0 2 2 13 8 0 0
104.0 0 0 0 0 1 2 9 15 0 2
103.5 0 0 0 0 0 1 3 4 0 0
103.0 0 0 0 0 2 6 26 30 0 1
102.5 0 0 0 0 0 2 10 7 0 1
102.0 0 0 0 0 4 4 27 40 0 2
101.5 0 0 0 0 0 8 10 18 0 1
101.0 0 0 0 0 1 5 17 18 0 1
100.5 0 0 0 0 0 4 25 28 0 4
100.0 0 0 0 0 0 1 2 3 0 0
99.5 0 0 0 0 1 5 36 31 0 6
99.0 0 0 0 0 1 0 14 7 0 0
98.5 0 0 0 0 3 6 19 23 0 1
98.0 0 0 0 0 0 0 26 20 0 1
97.5 0 0 0 0 1 1 7 7 0 0
97.0 0 0 0 0 1 4 39 37 0 1
96.5 0 0 0 0 0 0 5 4 0 1
96.0 0 0 0 0 2 6 40 36 0 1
95.5 0 0 0 0 1 2 19 10 0 2
95.0 0 0 0 0 2 7 26 33 0 1
94.5 0 0 0 0 1 9 30 26 0 3
94.0 0 0 0 1 0 1 6 8 0 1
93.5 0 0 0 0 3 9 47 37 0 1
93.0 0 0 0 1 0 0 18 7 0 1
92.5 0 0 0 0 1 9 33 25 0 1
92.0 0 0 0 0 1 2 28 18 0 1
91.5 0 0 0 0 0 1 18 15 0 0
91.0 0 0 0 0 0 8 46 22 0 2
90.5 0 0 0 0 0 2 11 6 0 0
90.0 0 0 0 0 0 12 56 42 0 3
89.5 0 0 0 0 1 1 18 12 0 0
89.0 0 0 0 0 1 9 53 42 0 1
88.5 0 0 0 0 1 6 29 22 0 3
88.0 0 0 0 0 1 3 19 12 0 2
87.5 0 0 0 1 4 5 41 33 0 2
87.0 0 0 0 0 1 2 12 12 0 1
86.5 0 1 0 0 2 14 45 40 0 0
86.0 0 0 0 0 1 1 19 7 0 2
85.5 0 0 0 1 2 5 30 20 0 3
85.0 0 0 0 0 4 6 41 28 1 3
84.5 0 0 0 0 2 4 21 12 0 1
84.0 0 0 0 0 3 8 50 34 0 1
83.5 0 0 0 0 1 1 18 12 0 1
83.0 0 0 0 0 5 9 56 48 0 2
82.5 0 0 0 0 2 4 26 16 0 0
82.0 0 0 0 0 4 6 21 34 0 2
81.5 0 0 0 0 1 12 35 27 0 0
81.0 0 0 0 0 1 2 18 19 0 1
80.5 0 0 0 0 5 12 51 35 0 3
80.0 0 0 0 0 2 3 25 17 0 0
79.5 0 0 0 0 4 7 41 32 0 0
79.0 0 0 0 0 3 7 41 24 0 1
78.5 0 0 0 0 6 7 31 19 0 0
78.0 0 0 0 0 0 15 69 36 0 1
77.5 0 0 0 0 2 4 18 12 0 0
77.0 0 0 0 0 3 5 61 43 0 1
76.5 0 0 0 0 1 6 25 11 0 0
76.0 0 0 0 0 3 7 28 15 0 0
75.5 0 0 0 0 5 12 29 14 0 2
75.0 0 0 0 0 3 7 24 15 0 2
74.5 0 0 0 0 1 15 44 36 1 3
74.0 0 0 0 0 1 7 19 18 0 0
73.5 0 0 0 0 1 4 37 39 0 1
73.0 0 0 0 0 3 9 31 12 0 0
72.5 0 0 0 0 2 6 29 22 0 0
72.0 0 0 0 0 5 16 45 32 0 1
71.5 0 0 0 0 6 3 21 24 0 0
71.0 0 0 0 0 4 10 60 29 0 0
70.5 0 0 0 0 2 5 23 13 0 2
70.0 0 0 0 0 5 7 33 18 0 1
69.5 0 0 0 0 3 6 35 18 0 0
69.0 0 0 0 0 6 6 26 22 0 1
68.5 0 0 0 0 5 11 41 16 0 0
68.0 0 0 0 0 1 1 28 19 0 0
67.5 0 0 0 0 3 5 29 22 0 0
67.0 0 0 0 0 2 3 28 21 0 0
66.5 0 0 0 0 2 10 31 21 0 1
66.0 0 0 0 0 2 7 49 23 0 2
65.5 0 0 0 0 5 3 22 22 0 3
65.0 0 0 0 0 2 7 42 18 0 0
64.5 0 0 0 0 1 2 19 15 0 0
64.0 0 0 0 0 1 5 23 11 0 1
63.5 0 0 0 0 3 6 20 12 0 0
63.0 0 0 0 0 1 1 24 11 0 0
62.5 0 0 0 0 2 8 33 16 0 3
62.0 0 0 0 0 1 3 26 11 0 1
61.5 0 0 0 0 1 2 16 16 0 1
61.0 0 0 0 1 1 1 16 14 0 0
60.5 0 0 0 0 3 3 13 18 0 0
60.0 0 0 0 0 2 9 33 21 0 0
59.5 0 0 0 0 3 4 21 8 0 3
59.0 0 0 0 0 1 7 26 14 0 0
58.5 0 0 0 0 3 2 19 15 0 1
58.0 0 0 0 0 1 3 15 9 0 0
57.5 0 0 0 0 1 8 17 12 0 0
57.0 0 0 0 0 4 1 19 6 0 0
56.5 0 0 0 0 1 1 18 12 0 3
56.0 0 0 0 0 1 1 21 3 0 1
55.5 0 0 0 0 4 6 17 9 0 1
55.0 0 0 0 0 1 2 15 10 0 1
54.5 0 0 0 0 2 2 13 10 0 1
54.0 0 0 0 0 0 5 23 14 0 2
53.5 0 0 0 0 0 2 11 10 0 2
53.0 0 0 0 0 2 0 11 6 0 0
52.5 0 0 0 0 2 2 14 7 0 0
52.0 0 0 0 0 3 0 13 3 0 0
51.5 0 0 0 0 1 1 9 7 0 0
51.0 0 0 0 0 0 2 9 7 0 0
50.5 0 0 0 0 0 3 6 6 0 1
50.0 0 0 0 0 0 3 6 2 0 0
49.5 0 0 0 0 0 2 9 5 0 0
49.0 0 0 0 0 3 3 8 3 0 1
48.5 0 0 0 0 0 0 9 3 0 0
48.0 0 0 0 0 2 1 17 11 0 2
47.5 0 0 0 0 1 2 3 7 0 0
47.0 0 0 0 0 0 2 8 3 0 0
46.5 0 0 0 0 0 2 7 7 0 0
46.0 0 0 0 0 0 0 10 5 0 0
45.5 0 0 0 0 0 2 2 3 0 0
45.0 0 0 0 0 1 1 4 1 0 0
44.5 0 0 0 0 0 1 4 3 0 0
44.0 0 0 0 0 0 1 4 1 0 0
43.5 0 0 0 0 0 0 2 1 0 0
43.0 0 0 0 0 0 1 4 0 0 0
42.5 0 0 0 0 0 0 5 0 0 0
42.0 0 0 0 0 1 0 6 7 0 0
41.5 0 0 0 0 0 0 4 4 0 0
41.0 0 0 0 0 0 1 3 0 0 0
40.5 0 0 0 0 0 1 1 3 0 0
40.0 0 0 0 0 2 0 5 0 0 0
39.5 0 0 0 0 0 0 1 0 0 0
39.0 0 0 0 0 0 2 2 3 0 0
38.5 0 0 0 0 0 0 4 0 0 0
38.0 0 0 0 0 0 0 3 0 0 0
37.5 0 0 0 0 0 0 2 0 0 0
37.0 0 0 0 0 0 0 2 1 0 0
36.5 0 0 0 0 0 0 1 1 0 0
36.0 0 0 0 0 2 2 9 4 0 1
35.5 0 0 0 0 0 0 4 1 0 0
35.0 0 0 0 0 0 0 3 0 0 0
34.5 0 0 0 0 0 1 0 0 0 0
34.0 0 0 0 0 0 0 2 1 0 0
33.5 0 0 0 0 0 0 0 0 0 0
33.0 0 0 0 0 0 0 0 0 0 0
32.5 0 0 0 0 0 0 0 0 0 0
32.0 0 0 0 0 0 0 1 1 0 0
31.5 0 0 0 0 0 0 1 0 0 0
31.0 0 0 0 0 0 1 1 1 0 0
30.5 0 0 0 0 0 0 0 0 0 0
30.0 0 0 0 0 0 4 4 4 0 0
29.5 0 0 0 0 0 0 0 0 0 0
29.0 0 0 0 0 0 0 0 1 0 0
28.5 0 0 0 0 0 0 2 0 0 0
28.0 0 0 0 0 0 0 3 0 0 0
27.5 0 0 0 0 0 0 1 0 0 0
27.0 0 0 0 0 0 0 0 0 0 0
26.5 0 0 0 0 0 0 0 1 0 0
26.0 0 0 0 0 0 0 1 0 0 0
25.5 0 0 0 0 0 0 3 1 0 0
25.0 0 0 0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 1 0 0 0
24.0 0 0 0 0 0 0 0 2 0 0
23.5 0 0 0 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 0 0 0 0
22.5 0 0 0 0 0 0 1 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 1 0 0 0 0
20.0 0 0 0 0 0 0 0 0 0 0
19.5 0 0 0 0 0 0 0 0 0 0
19.0 0 0 0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0 0 0 0
18.0 0 0 0 0 0 0 0 0 0 0
17.5 0 0 0 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0 0 0 0
16.5 0 0 0 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0 0 0 0
15.5 0 0 0 0 0 0 0 0 0 0
15.0 0 0 0 0 0 0 0 0 0 0
14.5 0 0 0 0 0 0 0 0 0 0
14.0 0 0 0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0
12.0 0 0 0 0 0 0 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 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 California
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 0.40 1.29 0.53 6.11* 0.31 1.36 0.00
2 0.03 9.02* 0.11 0.59 0.02 0.23 0.00
3 0.27 2.26 0.21 5.96* 0.15 1.15 0.00
4 5.61* 0.11 0.17 3.11 0.05 0.94 0.00
5 0.16 0.08 0.08 0.14 8.32* 1.21 0.00
6 1.04 2.11 4.44* 0.39 0.47 1.55 0.00
7 1.72 2.98* 0.83 1.56 0.33 2.57 0.00
8 0.63 0.26 0.27 0.22 7.92* 0.70 0.00
9 0.37 0.66 1.43 3.36* 0.16 4.03 0.00
10 0.36 0.80 0.41 3.71* 0.19 4.52 0.00
11 0.77 0.59 2.16* 0.45 0.67 5.36 0.00
12 0.09 0.22 0.46 0.38 6.70* 2.15 0.00
13 0.41 0.38 0.61 1.21 4.87* 2.52 0.00
14 0.59 0.41 0.43 5.76* 0.67 2.14 0.00
15 0.29 0.31 1.16* 0.22 0.38 7.64 0.00
16 0.55 0.44 3.83* 0.39 1.03 3.75 0.00
17 0.54 1.15* 0.30 0.65 0.22 7.14 0.00
18 0.16 0.47* 0.20 0.18 0.22 8.78 0.00
19 0.51 0.61 1.08 1.34* 0.49 5.96 0.00
20 0.43* 0.23 0.77 1.27 0.15 7.16 0.00
21 0.79 0.34 0.24 0.77* 1.29 6.56 0.00
22 0.51 0.56 0.33* 0.54 0.20 7.86 0.00
23 0.18 0.35* 0.24 0.16 0.21 8.85 0.00
24 0.19 1.77* 0.84 0.18 0.21 6.81 0.00
25 0.45 0.40 0.17* 0.09 1.45 7.44 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 10 B Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 2 1 100.0 2 4
149.5 0 0 124.5 0 0 99.5 14 7
149.0 0 0 124.0 1 0 99.0 11 3
148.5 0 0 123.5 0 0 98.5 8 11
148.0 0 0 123.0 0 2 98.0 21 11
147.5 0 0 122.5 1 0 97.5 8 4
147.0 0 0 122.0 3 0 97.0 16 16
146.5 0 0 121.5 3 1 96.5 9 1
146.0 0 0 121.0 0 0 96.0 23 12
145.5 0 0 120.5 8 3 95.5 9 4
145.0 0 0 120.0 4 0 95.0 17 7
144.5 0 0 119.5 2 0 94.5 17 10
144.0 2 0 119.0 2 0 94.0 15 10
143.5 0 0 118.5 0 0 93.5 17 14
143.0 0 1 118.0 7 0 93.0 18 4
142.5 0 0 117.5 0 0 92.5 19 13
142.0 0 0 117.0 7 0 92.0 21 6
141.5 0 0 116.5 3 0 91.5 18 13
141.0 0 0 116.0 1 1 91.0 16 16
140.5 0 0 115.5 3 1 90.5 10 11
140.0 0 0 115.0 2 0 90.0 28 14
139.5 0 0 114.5 4 1 89.5 8 5
139.0 0 0 114.0 0 0 89.0 19 20
138.5 0 0 113.5 3 3 88.5 15 5
138.0 0 1 113.0 3 1 88.0 20 9
137.5 0 0 112.5 9 3 87.5 14 12
137.0 1 0 112.0 7 1 87.0 9 6
136.5 0 0 111.5 2 3 86.5 23 24
136.0 0 0 111.0 9 6 86.0 8 7
135.5 0 0 110.5 0 0 85.5 20 23
135.0 0 0 110.0 8 5 85.0 15 15
134.5 1 0 109.5 6 2 84.5 9 14
134.0 0 0 109.0 4 5 84.0 23 16
133.5 1 0 108.5 8 4 83.5 6 13
133.0 0 0 108.0 2 2 83.0 18 30
132.5 0 0 107.5 8 5 82.5 7 9
132.0 2 1 107.0 2 0 82.0 16 17
131.5 0 0 106.5 7 4 81.5 15 16
131.0 0 0 106.0 3 3 81.0 11 21
130.5 0 0 105.5 10 3 80.5 19 32
130.0 1 1 105.0 11 5 80.0 14 14
129.5 0 0 104.5 5 1 79.5 18 18
129.0 0 0 104.0 6 7 79.0 19 13
128.5 0 0 103.5 3 4 78.5 11 18
128.0 0 0 103.0 10 6 78.0 21 24
127.5 1 1 102.5 7 2 77.5 13 13
127.0 0 0 102.0 9 7 77.0 21 22
126.5 1 0 101.5 13 1 76.5 13 11
126.0 0 0 101.0 6 4 76.0 15 18
125.5 0 0 100.5 23 11 75.5 16 16
American Mathematics Competitions
2003 AMC 10 B Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 14 17 50.0 4 6 25.0 0 0
74.5 15 18 49.5 3 10 24.5 0 0
74.0 17 10 49.0 1 4 24.0 6 7
73.5 28 19 48.5 3 3 23.5 0 0
73.0 11 16 48.0 8 13 23.0 0 0
72.5 10 18 47.5 4 1 22.5 0 0
72.0 18 23 47.0 1 5 22.0 0 1
71.5 13 18 46.5 4 4 21.5 0 0
71.0 22 25 46.0 3 2 21.0 0 0
70.5 14 9 45.5 3 3 20.5 0 1
70.0 10 20 45.0 2 3 20.0 0 0
69.5 11 14 44.5 4 4 19.5 0 0
69.0 14 10 44.0 1 1 19.0 0 0
68.5 12 12 43.5 1 3 18.5 0 0
68.0 13 12 43.0 1 2 18.0 1 7
67.5 11 24 42.5 3 6 17.5 0 0
67.0 9 11 42.0 9 3 17.0 0 0
66.5 9 17 41.5 0 3 16.5 0 0
66.0 13 11 41.0 1 1 16.0 0 0
65.5 13 15 40.5 2 1 15.5 0 0
65.0 9 18 40.0 0 2 15.0 0 0
64.5 7 15 39.5 0 0 14.5 1 0
64.0 5 16 39.0 3 1 14.0 0 0
63.5 6 4 38.5 4 2 13.5 0 0
63.0 4 6 38.0 1 3 13.0 0 0
62.5 9 13 37.5 0 0 12.5 0 0
62.0 5 9 37.0 1 1 12.0 1 2
61.5 4 12 36.5 0 1 11.5 0 0
61.0 9 11 36.0 8 5 11.0 0 0
60.5 6 8 35.5 0 1 10.5 0 0
60.0 18 8 35.0 1 1 10.0 0 0
59.5 10 6 34.5 1 1 9.5 0 0
59.0 5 12 34.0 1 0 9.0 0 0
58.5 3 12 33.5 0 0 8.5 0 0
58.0 6 9 33.0 2 2 8.0 0 0
57.5 5 6 32.5 0 2 7.5 0 0
57.0 5 10 32.0 0 0 7.0 0 0
56.5 3 7 31.5 1 1 6.5 0 0
56.0 13 2 31.0 0 0 6.0 0 0
55.5 6 11 30.5 2 0 5.5 0 0
55.0 2 6 30.0 9 4 5.0 0 0
54.5 4 8 29.5 0 3 4.5 0 0
54.0 8 6 29.0 0 0 4.0 0 0
53.5 5 5 28.5 1 0 3.5 0 0
53.0 4 7 28.0 0 2 3.0 0 0
52.5 2 3 27.5 0 0 2.5 0 0
52.0 3 5 27.0 0 1 2.0 0 0
51.5 2 2 26.5 3 0 1.5 0 0
51.0 2 5 26.0 0 0 1.0 0 0
50.5 6 10 25.5 0 1 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 B Results for California
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 unknown
---------------------------
150.0 0 0 0 0 0 0 0
149.5 0 0 0 0 0 0 0
149.0 0 0 0 0 0 0 0
148.5 0 0 0 0 0 0 0
148.0 0 0 0 0 0 0 0
147.5 0 0 0 0 0 0 0
147.0 0 0 0 0 0 0 0
146.5 0 0 0 0 0 0 0
146.0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0
144.0 0 0 0 0 1 1 0
143.5 0 0 0 0 0 0 0
143.0 0 0 0 0 1 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 1 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 1 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 1 1 1 1
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 2 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 2 0
127.0 0 0 0 0 0 0 0
126.5 0 0 0 0 1 0 1
126.0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 0 1
125.0 0 0 0 0 2 2 0
124.5 0 0 0 0 0 0 0
124.0 0 0 0 0 0 1 0
123.5 0 0 0 0 0 0 0
123.0 0 0 0 0 1 1 1
122.5 0 0 0 0 0 1 0
122.0 0 0 0 0 1 2 0
121.5 0 0 0 0 2 2 0
121.0 0 0 0 0 0 0 0
120.5 0 0 0 0 4 7 0
120.0 0 0 0 0 1 3 0
119.5 0 0 0 0 1 1 1
119.0 0 0 0 0 2 0 0
118.5 0 0 0 0 0 0 0
118.0 0 0 0 0 1 6 0
117.5 0 0 0 0 0 0 0
117.0 0 1 0 1 4 1 0
116.5 0 0 0 1 0 2 0
116.0 0 0 0 0 1 1 2
115.5 0 0 0 0 1 3 0
115.0 0 0 0 0 1 1 0
114.5 0 0 0 0 0 5 0
114.0 0 0 0 0 0 0 0
113.5 0 0 0 0 4 3 0
113.0 0 0 0 0 4 0 2
112.5 0 0 0 0 6 6 0
112.0 0 0 0 1 4 3 0
111.5 0 0 0 1 3 2 0
111.0 0 0 1 0 3 11 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 2 3 9 0
109.5 0 0 1 2 3 2 1
109.0 0 0 0 1 2 6 0
108.5 0 0 0 0 3 9 0
108.0 0 0 0 0 3 2 0
107.5 0 0 0 0 4 10 0
107.0 0 0 0 0 0 2 0
106.5 0 0 0 0 3 8 0
106.0 0 0 1 0 2 4 0
105.5 0 0 0 2 4 7 0
105.0 0 0 0 0 8 9 0
104.5 0 0 0 0 1 5 0
104.0 0 0 0 0 5 9 1
103.5 0 0 0 0 1 4 3
103.0 0 0 0 0 4 12 0
102.5 0 0 0 2 1 5 1
102.0 0 0 0 0 8 8 0
101.5 0 0 0 1 6 7 1
101.0 0 0 0 1 6 3 1
100.5 0 0 1 2 10 21 1
100.0 0 0 0 0 2 4 0
99.5 0 0 0 1 8 14 0
99.0 0 0 0 1 6 7 2
98.5 0 0 0 2 6 11 1
98.0 0 0 0 1 10 21 2
97.5 0 0 0 0 4 9 0
97.0 0 0 0 0 8 25 1
96.5 0 0 0 0 5 6 0
96.0 0 0 0 1 6 27 1
95.5 0 0 0 0 1 13 0
95.0 0 0 0 1 11 13 0
94.5 0 0 0 2 6 18 3
94.0 0 0 0 2 6 16 1
93.5 0 0 1 2 12 15 1
93.0 0 0 0 0 8 14 1
92.5 0 0 1 0 15 22 0
92.0 0 0 1 0 7 20 1
91.5 0 0 0 2 10 19 0
91.0 0 0 1 5 10 16 0
90.5 0 0 0 1 6 14 1
90.0 0 0 0 3 12 29 0
89.5 0 0 0 2 6 6 1
89.0 0 0 0 0 19 23 0
88.5 0 0 0 0 9 13 2
88.0 0 0 0 2 11 16 0
87.5 0 0 0 2 10 16 1
87.0 0 0 1 1 8 5 1
86.5 0 0 1 2 29 18 1
86.0 0 0 1 0 5 9 0
85.5 0 0 0 0 28 17 3
85.0 0 0 0 0 13 19 0
84.5 0 0 0 2 9 13 0
84.0 0 0 0 1 14 24 4
83.5 0 0 0 1 6 11 1
83.0 0 0 0 3 29 19 2
82.5 0 0 0 1 5 11 0
82.0 0 0 0 2 15 18 2
81.5 0 0 0 0 13 18 2
81.0 0 0 0 0 15 18 0
80.5 0 0 0 5 28 20 1
80.0 0 1 1 0 13 14 1
79.5 0 0 0 4 18 16 0
79.0 0 0 1 2 16 13 0
78.5 0 0 0 1 13 17 2
78.0 0 0 0 1 17 28 0
77.5 0 0 0 1 12 14 0
77.0 0 0 0 3 22 19 1
76.5 0 0 0 2 9 13 1
76.0 0 1 0 0 16 16 1
75.5 0 0 0 0 12 22 3
75.0 0 0 1 1 15 14 2
74.5 0 0 0 4 14 16 2
74.0 0 0 0 2 11 13 1
73.5 0 0 0 1 27 21 2
73.0 0 0 0 2 10 15 0
72.5 0 0 1 1 14 13 0
72.0 0 0 2 3 16 21 0
71.5 0 0 0 1 17 14 0
71.0 0 0 0 2 20 25 1
70.5 0 1 1 4 11 6 1
70.0 0 1 2 1 16 10 1
69.5 0 0 0 0 17 9 0
69.0 0 1 0 2 13 9 0
68.5 0 0 0 0 13 13 1
68.0 0 0 0 0 13 13 0
67.5 0 0 0 2 20 15 1
67.0 0 0 0 1 6 14 0
66.5 0 0 0 1 14 11 0
66.0 0 0 0 1 13 13 3
65.5 0 0 1 1 12 15 0
65.0 0 0 1 0 11 15 1
64.5 0 0 0 1 14 8 0
64.0 0 0 0 0 11 10 1
63.5 0 1 0 0 6 3 0
63.0 0 0 0 1 4 5 1
62.5 0 0 0 0 9 13 1
62.0 0 0 1 0 5 8 0
61.5 0 0 0 2 11 4 0
61.0 0 1 1 1 6 12 0
60.5 0 0 1 0 7 7 0
60.0 0 1 0 3 8 13 2
59.5 0 0 1 1 8 7 0
59.0 0 0 0 0 8 9 0
58.5 0 0 0 0 6 9 0
58.0 0 0 0 0 7 8 0
57.5 0 0 0 0 8 3 0
57.0 0 0 1 1 9 4 1
56.5 0 0 0 0 7 3 0
56.0 0 0 1 1 6 8 1
55.5 0 0 1 0 6 10 0
55.0 0 1 0 0 3 4 1
54.5 0 0 0 1 8 5 1
54.0 0 1 0 1 10 4 1
53.5 0 0 0 0 5 5 0
53.0 0 0 0 3 6 1 1
52.5 0 1 0 0 2 2 0
52.0 0 0 1 0 4 4 0
51.5 0 0 0 0 3 1 0
51.0 0 0 0 0 3 4 0
50.5 0 0 0 2 8 5 1
50.0 0 0 0 0 5 5 0
49.5 0 2 0 1 5 5 0
49.0 0 0 0 1 2 2 0
48.5 0 0 0 0 3 4 1
48.0 0 2 1 1 7 10 0
47.5 0 0 0 0 3 2 0
47.0 0 0 0 1 2 3 0
46.5 0 0 0 0 4 4 0
46.0 0 0 0 0 3 2 0
45.5 0 0 1 0 5 1 0
45.0 0 0 0 1 0 4 0
44.5 0 1 1 0 2 4 1
44.0 0 0 0 0 1 1 0
43.5 0 1 0 0 0 4 0
43.0 0 0 0 0 2 1 0
42.5 0 0 0 1 2 6 0
42.0 0 0 1 0 7 3 1
41.5 0 0 1 0 1 0 1
41.0 0 0 0 0 1 2 0
40.5 0 0 0 1 0 2 0
40.0 0 1 1 0 0 0 0
39.5 0 0 0 0 0 0 1
39.0 0 0 0 0 2 2 0
38.5 0 1 1 1 2 1 0
38.0 0 0 0 0 3 1 0
37.5 0 0 0 0 0 0 0
37.0 0 0 0 0 1 1 1
36.5 0 0 0 0 0 1 0
36.0 0 1 0 0 6 7 0
35.5 0 0 0 0 0 1 0
35.0 0 1 1 0 0 0 0
34.5 0 0 0 0 2 0 0
34.0 0 0 0 1 0 0 0
33.5 0 0 0 0 0 0 0
33.0 0 0 0 0 3 1 0
32.5 0 0 0 0 0 2 0
32.0 0 0 0 0 0 0 0
31.5 0 0 0 1 1 0 0
31.0 0 0 0 0 0 0 0
30.5 0 0 0 0 1 1 0
30.0 0 2 1 2 6 3 0
29.5 0 0 0 0 3 0 0
29.0 0 0 0 0 0 0 0
28.5 0 0 0 0 1 0 0
28.0 0 0 1 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 1 1 1 0 0 0
26.0 0 0 0 0 0 0 0
25.5 0 1 0 0 1 0 0
25.0 0 0 0 0 0 0 0
24.5 0 0 0 0 1 0 0
24.0 0 3 3 2 1 4 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 1 0 0
21.5 0 0 0 0 0 0 0
21.0 0 0 0 0 0 0 0
20.5 0 1 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 1 2 2 1 1 1
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 1 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 1 0 0 1 1 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 California
Analysis
Table of Item Difficulty for the 2003
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.03 0.13 9.56* 0.10 0.07 0.09 0.00
2 0.06 0.15 1.37 7.73* 0.34 0.35 0.00
3 0.39 6.90* 0.63 0.51 0.11 1.46 0.00
4 8.17* 0.27 0.36 0.11 0.25 0.84 0.00
5 0.36 0.41 3.48* 0.69 1.37 3.69 0.01
6 1.05 1.46 0.32 4.34* 0.53 2.28 0.01
7 0.58 5.79* 0.39 0.64 0.27 2.34 0.00
8 0.18 1.54* 0.41 0.84 0.42 6.61 0.01
9 0.37 3.23* 0.46 0.45 0.34 5.14 0.00
10 0.28 0.39 3.44* 0.87 0.53 4.49 0.00
11 5.23* 0.53 0.34 0.34 1.01 2.54 0.00
12 0.49 0.55 6.06* 0.22 0.37 2.33 0.00
13 2.83 0.61 0.41 0.87 1.49* 3.79 0.00
14 1.12 0.47 0.27 2.98* 0.16 4.98 0.00
15 1.59 2.19 0.30 0.93 2.24* 2.75 0.00
16 0.27 0.30 0.64 0.60 4.39* 3.80 0.00
17 0.18 2.09* 0.95 0.41 0.18 6.19 0.00
18 0.34 1.67 0.28 1.63* 1.63 4.45 0.00
19 0.33 0.30 0.58 0.62 0.52* 7.64 0.00
20 0.25 0.49 0.58 2.17* 1.14 5.38 0.00
21 1.61 0.40 0.63* 1.46 0.50 5.40 0.00
22 1.33 2.13* 1.56 0.65 0.49 3.82 0.00
23 0.43 0.32 0.47 1.16* 0.49 7.13 0.01
24 0.11 0.16 1.66 0.18 0.08* 7.80 0.00
25 0.97 2.21* 1.10 0.34 0.26 5.12 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 California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 6 0 125.0 3 1 100.0 1 0
149.5 0 0 124.5 0 0 99.5 25 7
149.0 0 0 124.0 3 1 99.0 4 3
148.5 0 0 123.5 0 0 98.5 24 11
148.0 0 0 123.0 8 0 98.0 13 4
147.5 0 0 122.5 2 0 97.5 7 1
147.0 0 0 122.0 1 1 97.0 20 8
146.5 0 0 121.5 4 1 96.5 3 2
146.0 0 0 121.0 0 0 96.0 43 17
145.5 0 0 120.5 3 2 95.5 11 2
145.0 0 0 120.0 1 0 95.0 24 18
144.5 0 0 119.5 4 1 94.5 25 8
144.0 1 0 119.0 2 0 94.0 3 2
143.5 0 0 118.5 5 1 93.5 38 19
143.0 1 0 118.0 6 1 93.0 3 2
142.5 0 0 117.5 0 0 92.5 29 30
142.0 0 0 117.0 8 0 92.0 11 7
141.5 0 0 116.5 0 0 91.5 9 9
141.0 0 0 116.0 5 2 91.0 22 7
140.5 0 0 115.5 2 0 90.5 7 3
140.0 0 0 115.0 3 0 90.0 49 18
139.5 1 0 114.5 8 1 89.5 14 3
139.0 0 0 114.0 2 1 89.0 53 24
138.5 0 0 113.5 6 1 88.5 14 9
138.0 3 0 113.0 2 0 88.0 19 12
137.5 0 0 112.5 10 3 87.5 32 21
137.0 1 0 112.0 1 0 87.0 6 6
136.5 0 0 111.5 11 2 86.5 47 29
136.0 0 0 111.0 6 0 86.0 11 5
135.5 0 0 110.5 2 0 85.5 28 21
135.0 0 0 110.0 10 6 85.0 31 13
134.5 4 1 109.5 1 0 84.5 15 11
134.0 0 0 109.0 10 4 84.0 42 29
133.5 1 0 108.5 4 0 83.5 10 10
133.0 0 0 108.0 16 6 83.0 65 35
132.5 1 0 107.5 7 5 82.5 10 15
132.0 1 0 107.0 1 0 82.0 34 13
131.5 0 0 106.5 16 4 81.5 30 23
131.0 0 0 106.0 3 0 81.0 16 10
130.5 0 0 105.5 21 10 80.5 55 29
130.0 0 0 105.0 1 2 80.0 16 11
129.5 0 0 104.5 11 4 79.5 23 29
129.0 5 1 104.0 16 3 79.0 23 25
128.5 1 1 103.5 1 0 78.5 19 23
128.0 0 0 103.0 19 6 78.0 44 24
127.5 0 0 102.5 3 1 77.5 10 18
127.0 0 0 102.0 25 7 77.0 52 36
126.5 9 1 101.5 7 3 76.5 18 12
126.0 2 0 101.0 10 4 76.0 39 25
125.5 2 0 100.5 16 8 75.5 25 25
American Mathematics Competitions
2003 AMC 12 B Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 20 11 50.0 4 8 25.0 0 0
74.5 44 43 49.5 4 5 24.5 0 0
74.0 21 15 49.0 8 5 24.0 1 3
73.5 38 34 48.5 6 4 23.5 0 1
73.0 18 15 48.0 14 9 23.0 1 2
72.5 20 28 47.5 3 5 22.5 0 0
72.0 33 34 47.0 4 2 22.0 0 0
71.5 9 20 46.5 3 4 21.5 0 0
71.0 34 40 46.0 1 2 21.0 0 0
70.5 15 17 45.5 5 4 20.5 0 0
70.0 25 29 45.0 2 8 20.0 0 0
69.5 24 14 44.5 0 5 19.5 0 0
69.0 20 19 44.0 5 9 19.0 0 0
68.5 27 34 43.5 2 1 18.5 0 0
68.0 13 17 43.0 2 4 18.0 0 0
67.5 29 30 42.5 3 1 17.5 0 0
67.0 18 18 42.0 13 7 17.0 0 0
66.5 16 28 41.5 2 3 16.5 0 0
66.0 37 21 41.0 4 3 16.0 0 0
65.5 13 19 40.5 3 2 15.5 0 0
65.0 32 39 40.0 0 1 15.0 0 0
64.5 13 18 39.5 2 1 14.5 0 0
64.0 17 29 39.0 2 2 14.0 0 0
63.5 14 17 38.5 1 0 13.5 0 0
63.0 11 24 38.0 0 1 13.0 0 0
62.5 23 25 37.5 1 2 12.5 0 0
62.0 15 14 37.0 0 0 12.0 0 0
61.5 16 15 36.5 1 4 11.5 0 0
61.0 16 16 36.0 9 3 11.0 0 0
60.5 10 13 35.5 0 2 10.5 0 0
60.0 22 27 35.0 1 3 10.0 0 0
59.5 10 12 34.5 0 1 9.5 0 0
59.0 16 27 34.0 0 1 9.0 0 0
58.5 10 14 33.5 0 0 8.5 0 0
58.0 8 10 33.0 2 0 8.0 0 0
57.5 14 10 32.5 0 3 7.5 0 0
57.0 7 9 32.0 0 0 7.0 0 0
56.5 18 23 31.5 1 1 6.5 0 0
56.0 12 6 31.0 1 0 6.0 0 0
55.5 2 12 30.5 0 0 5.5 0 0
55.0 11 18 30.0 2 6 5.0 0 0
54.5 12 8 29.5 0 1 4.5 0 0
54.0 23 16 29.0 0 0 4.0 0 0
53.5 1 10 28.5 0 0 3.5 0 0
53.0 7 14 28.0 0 2 3.0 0 0
52.5 4 9 27.5 0 0 2.5 0 0
52.0 6 7 27.0 0 0 2.0 0 0
51.5 4 7 26.5 0 0 1.5 0 0
51.0 7 7 26.0 0 0 1.0 0 0
50.5 6 13 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 B Results for California
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 0 0 0 0 0 0 4 2 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 1 0 0 0 0 0
143.5 0 0 0 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0 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 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 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 1 2 0 0
137.5 0 0 0 0 0 0 0 0 0 0
137.0 0 0 0 0 0 1 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 1 3 1 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 1 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 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 3 3 0 0
128.5 0 0 0 0 1 0 0 1 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 1 0 3 6 0 0
126.0 0 0 0 0 0 0 0 2 0 0
125.5 0 0 0 0 0 1 0 1 0 0
125.0 0 0 0 0 0 0 1 3 0 0
124.5 0 0 0 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 3 1 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 1 0 1 1 6 0 0
122.5 0 0 0 0 0 2 0 0 0 0
122.0 0 0 0 0 0 0 0 3 0 0
121.5 0 0 0 0 0 0 1 4 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 1 3 2 0 0
120.0 0 0 0 0 1 0 0 0 0 0
119.5 0 0 0 0 0 0 2 3 0 0
119.0 0 0 0 0 0 2 0 0 0 0
118.5 0 0 0 0 0 0 3 4 0 0
118.0 0 0 0 0 0 0 3 4 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 1 2 5 0 1
116.5 0 0 0 0 0 0 0 0 0 0
116.0 0 0 0 0 0 1 3 5 0 0
115.5 0 0 0 0 0 0 2 0 0 0
115.0 0 0 0 0 0 0 0 3 0 0
114.5 0 0 0 1 0 3 1 4 0 0
114.0 0 0 0 0 0 1 1 1 0 0
113.5 0 0 0 0 1 2 2 3 0 0
113.0 0 0 0 0 0 0 1 1 0 0
112.5 0 0 0 0 0 0 6 7 0 0
112.0 0 0 0 0 0 0 0 1 0 0
111.5 0 0 0 0 2 2 4 6 0 0
111.0 0 0 0 0 0 0 2 4 0 0
110.5 0 0 0 1 0 0 1 0 0 0
110.0 0 0 0 0 1 2 8 6 0 1
109.5 0 0 0 0 0 0 1 1 0 0
109.0 0 0 0 0 0 1 6 7 0 0
108.5 0 0 0 0 0 1 1 2 0 0
108.0 0 0 0 1 0 2 11 8 0 1
107.5 0 0 0 0 0 0 5 7 0 0
107.0 0 0 0 0 0 0 1 0 0 0
106.5 0 0 0 0 0 0 11 10 0 0
106.0 0 0 0 0 0 0 1 2 0 0
105.5 0 0 0 0 2 2 11 16 0 0
105.0 0 0 0 0 0 0 2 3 0 0
104.5 0 0 0 0 0 0 8 7 0 1
104.0 0 0 0 0 0 1 9 10 0 0
103.5 0 0 0 0 0 0 0 1 0 0
103.0 0 0 0 0 0 1 12 13 0 0
102.5 0 0 0 0 0 1 2 1 0 0
102.0 0 0 0 0 0 4 16 12 0 0
101.5 0 0 0 0 0 0 6 5 0 0
101.0 0 0 0 0 0 3 4 7 0 0
100.5 0 0 0 0 0 3 13 11 0 0
100.0 0 0 0 0 0 1 0 0 0 0
99.5 0 0 0 0 1 2 16 14 0