American Mathematics Competitions
2003 AMC 10 A Results for *Ontario
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 595
Number of unofficial participants: 0
Average score of participants: 73.0
Average score for female students is: 71.5 ( 209 Students)
Average score for male students is: 73.9 ( 354 Students)
Average score for unspecified gender is 72.5 ( 32 Students)
Average score for grade 10 is: 73.1 ( 403 Students)
Average score for grade 9 is: 72.3 ( 167 Students)
Average score for grade 8 and below is: 82.6 ( 15 Students)
Average score with unknown grade: 66.7 ( 10 Students)
AIME qualifying score = 119.0 or better
Number of AIME qualifers 9
Number of schools returning results 26
Average school winning score 102.73
American Mathematics Competitions
2003 AMC 12 A Results for *Ontario
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1050
Number of unofficial participants: 0
Average score of participants: 83.0
Average score for female students is: 79.6 ( 312 Students)
Average score for male students is: 85.0 ( 682 Students)
Average score for unspecified gender is 76.7 ( 56 Students)
Average score for grade 13 is: 85.0 ( 215 Students)
Average score for grade 12 is: 83.4 ( 453 Students)
Average score for grade 11 is: 80.6 ( 305 Students)
Average score for grade 10 is: 87.0 ( 29 Students)
Average score for grade 9 is: 90.7 ( 13 Students)
Average score for grade 8 and below is: 91.7 ( 3 Students)
Average score with unknown grade: 77.9 ( 32 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 193
Number of schools returning results 39
Average school winning score 111.72
Average school team score 308.31
American Mathematics Competitions
2003 AMC 10 B Results for *Ontario
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 364
Number of unofficial participants: 0
Average score of participants: 84.6
Average score for female students is: 81.8 ( 168 Students)
Average score for male students is: 86.9 ( 178 Students)
Average score for unspecified gender is 87.6 ( 18 Students)
Average score for grade 10 is: 85.1 ( 226 Students)
Average score for grade 9 is: 84.3 ( 112 Students)
Average score for grade 8 and below is: 85.2 ( 15 Students)
Average score with unknown grade: 77.6 ( 11 Students)
AIME qualifying score = 121.0 or better
Number of AIME qualifers 17
Number of schools returning results 18
Average school winning score 111.64
American Mathematics Competitions
2003 AMC 12 B Results for *Ontario
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 677
Number of unofficial participants: 11
Average score of participants: 88.7
Average score for female students is: 85.7 ( 218 Students)
Average score for male students is: 90.3 ( 436 Students)
Average score for unspecified gender is 86.5 ( 23 Students)
Average score for grade 13 is: 85.6 ( 75 Students)
Average score for grade 12 is: 90.4 ( 347 Students)
Average score for grade 11 is: 87.1 ( 191 Students)
Average score for grade 10 is: 86.2 ( 44 Students)
Average score for grade 9 is: 107.6 ( 4 Students)
Average score for grade 8 and below is: 99.3 ( 3 Students)
Average score with unknown grade: 85.7 ( 13 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 196
Number of schools returning results 26
Average school winning score 117.21
Average school team score 326.63
2003 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 1 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 1 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 1 1 1 1
143.5 0 0 0 0
143.0 0 0 0 0
142.5 0 0 0 0
142.0 0 0 0 0
141.5 0 0 0 0
141.0 0 0 0 0
140.5 1 0 0 0
140.0 0 0 0 0
139.5 0 1 1 0
139.0 0 0 0 0
138.5 0 0 0 0
138.0 1 3 0 1
137.5 0 0 0 0
137.0 1 5 1 0
136.5 0 0 0 0
136.0 0 2 0 0
135.5 0 0 0 0
135.0 0 0 0 0
134.5 4 2 0 1
134.0 0 0 0 0
133.5 1 1 0 0
133.0 0 0 0 0
132.5 0 0 0 1
132.0 0 1 0 0
131.5 0 0 0 0
131.0 0 2 0 0
130.5 0 0 0 0
130.0 0 2 0 0
129.5 0 0 0 0
129.0 2 3 0 2
128.5 0 2 0 1
128.0 0 0 0 0
127.5 1 1 0 1
127.0 0 0 0 0
126.5 0 1 0 1
126.0 1 0 0 0
125.5 1 2 0 1
125.0 0 0 0 2
124.5 0 0 0 0
124.0 1 1 1 0
123.5 0 0 0 0
123.0 4 4 0 2
122.5 0 0 0 0
122.0 3 4 0 1
121.5 3 4 1 2
121.0 0 0 0 0
120.5 2 4 0 1
120.0 0 0 0 2
119.5 0 5 1 0
119.0 0 2 1 1
118.5 1 3 0 0
118.0 5 1 0 2
117.5 0 0 0 0
117.0 0 7 1 0
116.5 0 1 0 1
116.0 4 5 1 2
115.5 1 4 0 0
115.0 7 1 0 1
114.5 6 7 1 4
114.0 1 0 0 1
113.5 3 8 0 2
113.0 0 0 0 0
112.5 3 7 0 2
112.0 2 4 3 0
111.5 6 3 0 0
111.0 2 5 1 2
110.5 0 0 0 0
110.0 5 6 0 3
109.5 1 1 2 3
109.0 9 6 1 1
108.5 5 0 0 2
108.0 6 1 0 0
107.5 6 3 0 5
107.0 0 0 0 2
106.5 14 9 2 0
106.0 0 0 2 1
105.5 15 3 0 5
105.0 2 5 0 1
104.5 5 2 0 0
104.0 10 8 2 3
103.5 1 0 0 1
103.0 9 12 4 2
102.5 2 0 2 6
102.0 9 11 0 0
101.5 5 5 2 8
101.0 6 4 1 0
100.5 11 8 4 7
100.0 2 1 0 1
99.5 9 12 5 0
99.0 2 3 0 0
98.5 15 5 3 3
98.0 9 5 2 4
97.5 2 2 0 1
97.0 17 3 5 5
96.5 1 3 2 4
96.0 16 13 2 5
95.5 3 4 4 2
95.0 6 7 2 2
94.5 15 4 6 4
94.0 2 3 1 3
93.5 17 9 3 4
93.0 2 1 3 1
92.5 16 11 3 2
92.0 11 2 4 4
91.5 5 0 2 1
91.0 11 12 3 4
90.5 0 4 0 1
90.0 13 12 4 7
89.5 5 1 4 4
89.0 23 6 3 1
88.5 14 10 4 1
88.0 6 3 2 1
87.5 12 10 4 6
87.0 5 2 5 4
86.5 16 15 6 1
86.0 4 2 2 8
85.5 17 6 4 2
85.0 13 11 6 5
84.5 5 5 3 6
84.0 13 12 11 10
83.5 8 2 2 4
83.0 22 12 10 4
82.5 8 2 8 0
82.0 8 2 6 2
81.5 14 8 5 4
81.0 4 1 5 1
80.5 17 11 4 6
80.0 8 3 8 3
79.5 13 8 3 3
79.0 9 4 13 5
78.5 7 4 2 2
78.0 23 9 15 3
77.5 6 6 4 3
77.0 15 8 12 5
76.5 7 8 8 3
76.0 8 3 10 4
75.5 17 8 6 7
75.0 5 0 7 5
74.5 16 15 8 1
74.0 9 6 4 2
73.5 10 5 10 3
73.0 10 4 10 1
72.5 3 4 13 0
72.0 17 7 9 5
71.5 5 3 4 3
71.0 19 8 10 4
70.5 7 8 2 1
70.0 13 4 10 0
69.5 10 4 10 1
69.0 8 4 3 3
68.5 10 6 6 2
68.0 5 3 9 2
67.5 12 5 8 1
67.0 6 5 8 4
66.5 6 4 5 3
66.0 10 7 8 1
65.5 7 2 3 5
65.0 10 3 4 1
64.5 3 1 3 2
64.0 6 5 4 2
63.5 2 3 5 2
63.0 3 2 4 3
62.5 12 7 8 5
62.0 5 3 6 2
61.5 5 1 3 0
61.0 3 1 9 1
60.5 3 7 1 0
60.0 9 5 13 5
59.5 2 0 3 0
59.0 6 0 2 2
58.5 5 3 4 0
58.0 4 4 5 2
57.5 3 3 3 1
57.0 4 3 2 1
56.5 6 3 5 1
56.0 5 0 3 3
55.5 2 0 4 0
55.0 4 0 7 2
54.5 1 5 0 2
54.0 6 4 6 2
53.5 4 0 3 1
53.0 8 1 2 0
52.5 4 2 4 1
52.0 5 0 2 2
51.5 3 0 0 1
51.0 2 0 5 0
50.5 4 1 1 0
50.0 1 0 0 0
49.5 1 1 3 2
49.0 2 1 1 0
48.5 3 0 2 1
48.0 1 1 5 0
47.5 0 1 1 1
47.0 3 1 0 0
46.5 1 0 3 1
46.0 0 0 0 0
45.5 3 1 4 0
45.0 0 0 1 0
44.5 1 1 0 1
44.0 1 0 0 1
43.5 0 0 0 0
43.0 0 0 2 0
42.5 0 0 1 0
42.0 1 0 8 1
41.5 0 0 0 1
41.0 0 0 1 0
40.5 1 0 2 0
40.0 0 0 0 0
39.5 0 1 0 0
39.0 0 0 2 0
38.5 2 0 4 1
38.0 1 0 1 0
37.5 0 0 0 0
37.0 1 0 5 0
36.5 0 0 1 0
36.0 2 0 5 4
35.5 0 0 2 0
35.0 0 0 0 0
34.5 1 0 1 0
34.0 0 0 0 0
33.5 1 0 0 0
33.0 0 0 1 0
32.5 1 1 0 0
32.0 0 0 0 0
31.5 0 1 1 0
31.0 0 0 0 0
30.5 0 0 0 0
30.0 2 1 0 1
29.5 0 0 0 0
29.0 0 0 1 2
28.5 0 0 0 0
28.0 0 0 2 0
27.5 0 0 0 0
27.0 0 0 0 0
26.5 0 0 0 0
26.0 0 0 0 0
25.5 1 0 0 0
25.0 0 0 0 0
24.5 0 0 0 0
24.0 0 1 0 0
23.5 0 0 0 0
23.0 0 0 0 0
22.5 0 0 0 1
22.0 0 0 0 0
21.5 0 0 0 0
21.0 0 0 0 0
20.5 0 0 0 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 1 1 1 0
17.5 0 0 0 0
17.0 0 0 0 0
16.5 0 0 0 0
16.0 0 0 0 0
15.5 0 0 0 0
15.0 0 0 0 0
14.5 0 0 0 0
14.0 0 0 0 0
13.5 0 0 0 0
13.0 0 0 0 0
12.5 0 0 0 0
12.0 0 0 0 0
11.5 0 0 0 0
11.0 0 0 0 0
10.5 0 0 0 0
10.0 0 0 0 0
9.5 0 0 0 0
9.0 0 0 0 0
8.5 0 0 0 0
8.0 0 0 0 0
7.5 0 0 0 0
7.0 0 0 0 0
6.5 0 0 0 0
6.0 0 0 0 0
5.5 0 0 0 0
5.0 0 0 0 0
4.5 0 0 0 0
4.0 0 0 0 0
3.5 0 0 0 0
3.0 0 0 0 0
2.5 0 0 0 0
2.0 0 0 0 0
1.5 0 0 0 0
1.0 0 0 0 0
0.5 0 0 0 0
0 0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for *Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 0 125.0 0 0 100.0 0 0
149.5 0 0 124.5 0 0 99.5 4 1
149.0 0 0 124.0 1 0 99.0 0 0
148.5 0 0 123.5 0 0 98.5 2 1
148.0 0 0 123.0 0 0 98.0 1 1
147.5 0 0 122.5 0 0 97.5 0 0
147.0 0 0 122.0 0 0 97.0 3 2
146.5 0 0 121.5 0 1 96.5 0 2
146.0 0 0 121.0 0 0 96.0 2 0
145.5 0 0 120.5 0 0 95.5 2 2
145.0 0 0 120.0 0 0 95.0 1 0
144.5 0 0 119.5 1 0 94.5 4 2
144.0 1 0 119.0 1 0 94.0 0 1
143.5 0 0 118.5 0 0 93.5 2 1
143.0 0 0 118.0 0 0 93.0 2 1
142.5 0 0 117.5 0 0 92.5 1 1
142.0 0 0 117.0 0 0 92.0 4 0
141.5 0 0 116.5 0 0 91.5 1 1
141.0 0 0 116.0 0 1 91.0 2 1
140.5 0 0 115.5 0 0 90.5 0 0
140.0 0 0 115.0 0 0 90.0 3 1
139.5 1 0 114.5 0 1 89.5 1 2
139.0 0 0 114.0 0 0 89.0 0 3
138.5 0 0 113.5 0 0 88.5 2 2
138.0 0 0 113.0 0 0 88.0 1 1
137.5 0 0 112.5 0 0 87.5 3 1
137.0 1 0 112.0 3 0 87.0 3 2
136.5 0 0 111.5 0 0 86.5 4 2
136.0 0 0 111.0 1 0 86.0 1 1
135.5 0 0 110.5 0 0 85.5 4 0
135.0 0 0 110.0 0 0 85.0 2 4
134.5 0 0 109.5 2 0 84.5 2 1
134.0 0 0 109.0 1 0 84.0 6 5
133.5 0 0 108.5 0 0 83.5 1 1
133.0 0 0 108.0 0 0 83.0 5 5
132.5 0 0 107.5 0 0 82.5 5 3
132.0 0 0 107.0 0 0 82.0 2 4
131.5 0 0 106.5 2 0 81.5 3 1
131.0 0 0 106.0 1 1 81.0 1 4
130.5 0 0 105.5 0 0 80.5 3 1
130.0 0 0 105.0 0 0 80.0 6 2
129.5 0 0 104.5 0 0 79.5 2 1
129.0 0 0 104.0 1 1 79.0 6 5
128.5 0 0 103.5 0 0 78.5 0 2
128.0 0 0 103.0 3 1 78.0 10 5
127.5 0 0 102.5 2 0 77.5 1 2
127.0 0 0 102.0 0 0 77.0 8 3
126.5 0 0 101.5 2 0 76.5 6 2
126.0 0 0 101.0 0 1 76.0 6 3
125.5 0 0 100.5 2 2 75.5 4 2
American Mathematics Competitions
2003 AMC 10 A Results for *Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 3 50.0 0 0 25.0 0 0
74.5 4 4 49.5 2 1 24.5 0 0
74.0 2 1 49.0 1 0 24.0 0 0
73.5 6 3 48.5 2 0 23.5 0 0
73.0 7 3 48.0 4 1 23.0 0 0
72.5 7 4 47.5 1 0 22.5 0 0
72.0 8 1 47.0 0 0 22.0 0 0
71.5 3 1 46.5 1 2 21.5 0 0
71.0 6 1 46.0 0 0 21.0 0 0
70.5 2 0 45.5 0 3 20.5 0 0
70.0 6 2 45.0 0 1 20.0 0 0
69.5 4 5 44.5 0 0 19.5 0 0
69.0 2 1 44.0 0 0 19.0 0 0
68.5 5 0 43.5 0 0 18.5 0 0
68.0 6 3 43.0 1 1 18.0 1 0
67.5 4 1 42.5 0 1 17.5 0 0
67.0 7 0 42.0 5 3 17.0 0 0
66.5 3 1 41.5 0 0 16.5 0 0
66.0 5 3 41.0 1 0 16.0 0 0
65.5 2 1 40.5 1 1 15.5 0 0
65.0 4 0 40.0 0 0 15.0 0 0
64.5 3 0 39.5 0 0 14.5 0 0
64.0 2 2 39.0 1 1 14.0 0 0
63.5 3 2 38.5 4 0 13.5 0 0
63.0 3 1 38.0 0 1 13.0 0 0
62.5 4 2 37.5 0 0 12.5 0 0
62.0 4 2 37.0 1 4 12.0 0 0
61.5 3 0 36.5 0 1 11.5 0 0
61.0 2 6 36.0 3 2 11.0 0 0
60.5 1 0 35.5 2 0 10.5 0 0
60.0 11 2 35.0 0 0 10.0 0 0
59.5 1 2 34.5 0 1 9.5 0 0
59.0 2 0 34.0 0 0 9.0 0 0
58.5 2 2 33.5 0 0 8.5 0 0
58.0 2 3 33.0 1 0 8.0 0 0
57.5 1 2 32.5 0 0 7.5 0 0
57.0 0 2 32.0 0 0 7.0 0 0
56.5 3 2 31.5 1 0 6.5 0 0
56.0 2 1 31.0 0 0 6.0 0 0
55.5 3 1 30.5 0 0 5.5 0 0
55.0 3 4 30.0 0 0 5.0 0 0
54.5 0 0 29.5 0 0 4.5 0 0
54.0 3 3 29.0 1 0 4.0 0 0
53.5 1 1 28.5 0 0 3.5 0 0
53.0 1 1 28.0 1 1 3.0 0 0
52.5 0 4 27.5 0 0 2.5 0 0
52.0 0 1 27.0 0 0 2.0 0 0
51.5 0 0 26.5 0 0 1.5 0 0
51.0 2 3 26.0 0 0 1.0 0 0
50.5 1 0 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for *Ontario
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 unknown
---------------------------
150.0 0 0 0 0 0 1 0
149.5 0 0 0 0 0 0 0
149.0 0 0 0 0 0 0 0
148.5 0 0 0 0 0 0 0
148.0 0 0 0 0 0 0 0
147.5 0 0 0 0 0 0 0
147.0 0 0 0 0 0 0 0
146.5 0 0 0 0 0 0 0
146.0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0
144.0 0 0 0 0 0 1 0
143.5 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0
140.5 0 0 0 0 0 0 0
140.0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 1 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 0 0 0
133.0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0
132.0 0 0 0 0 0 0 0
131.5 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 0
130.5 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0
129.5 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 0 0
128.0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 0
127.0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 0
126.0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 0 0
125.0 0 0 0 0 0 0 0
124.5 0 0 0 0 0 0 0
124.0 0 0 0 1 0 0 0
123.5 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0
122.5 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0
121.5 0 0 0 0 0 1 0
121.0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 0
120.0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 1 0
119.0 0 0 0 0 1 0 0
118.5 0 0 0 0 0 0 0
118.0 0 0 0 0 0 0 0
117.5 0 0 0 0 0 0 0
117.0 0 0 0 0 0 1 0
116.5 0 0 0 0 0 0 0
116.0 0 0 0 0 0 1 0
115.5 0 0 0 0 0 0 0
115.0 0 0 0 0 0 0 0
114.5 0 0 0 0 0 1 0
114.0 0 0 0 0 0 0 0
113.5 0 0 0 0 0 0 0
113.0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 0 0
112.0 0 0 0 0 1 2 0
111.5 0 0 0 0 0 0 0
111.0 0 0 0 0 0 1 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 0
109.5 0 0 0 0 1 1 0
109.0 0 0 0 0 0 1 0
108.5 0 0 0 0 0 0 0
108.0 0 0 0 0 0 0 0
107.5 0 0 0 0 0 0 0
107.0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 2 0
106.0 0 0 0 1 0 1 0
105.5 0 0 0 0 0 0 0
105.0 0 0 0 0 0 0 0
104.5 0 0 0 0 0 0 0
104.0 0 0 0 0 1 1 0
103.5 0 0 0 0 0 0 0
103.0 0 0 0 1 0 3 0
102.5 0 0 0 0 0 2 0
102.0 0 0 0 0 0 0 0
101.5 0 0 0 0 1 1 0
101.0 0 0 0 0 0 1 0
100.5 0 0 0 0 1 3 0
100.0 0 0 0 0 0 0 0
99.5 0 0 0 1 1 3 0
99.0 0 0 0 0 0 0 0
98.5 0 0 0 0 0 3 0
98.0 0 0 0 1 0 1 0
97.5 0 0 0 0 0 0 0
97.0 0 0 0 0 0 5 0
96.5 0 0 0 0 1 1 0
96.0 0 0 0 0 0 2 0
95.5 0 0 0 0 2 2 0
95.0 0 0 0 0 1 0 1
94.5 0 0 0 1 0 5 0
94.0 0 0 0 0 0 1 0
93.5 0 0 0 0 1 2 0
93.0 0 0 0 0 0 3 0
92.5 0 0 0 0 1 1 1
92.0 0 0 0 0 1 3 0
91.5 0 0 0 0 2 0 0
91.0 0 0 0 0 1 2 0
90.5 0 0 0 0 0 0 0
90.0 0 0 0 0 2 2 0
89.5 0 0 0 0 1 3 0
89.0 0 0 0 0 1 2 0
88.5 0 0 0 1 1 2 0
88.0 0 0 0 0 0 2 0
87.5 0 0 0 1 1 2 0
87.0 0 0 0 0 1 4 0
86.5 0 0 0 0 2 4 0
86.0 0 0 0 0 0 2 0
85.5 0 0 0 0 0 4 0
85.0 0 0 0 1 2 3 0
84.5 0 0 0 0 2 1 0
84.0 0 0 0 0 3 8 0
83.5 0 0 0 0 0 2 0
83.0 0 0 0 1 3 6 0
82.5 0 0 0 0 3 5 0
82.0 0 0 0 0 2 4 0
81.5 0 0 0 0 3 2 0
81.0 0 0 0 0 2 3 0
80.5 0 0 0 0 3 1 0
80.0 0 0 0 0 0 8 0
79.5 0 0 0 0 1 2 0
79.0 0 0 0 0 2 11 0
78.5 0 0 0 0 0 2 0
78.0 0 0 0 0 4 11 0
77.5 0 0 0 0 1 3 0
77.0 0 0 0 0 5 7 0
76.5 0 0 0 0 3 5 0
76.0 0 0 0 0 4 6 0
75.5 0 0 0 0 2 4 0
75.0 0 0 0 0 3 4 0
74.5 0 0 0 0 3 5 0
74.0 0 0 0 0 1 3 0
73.5 0 0 0 0 4 6 0
73.0 0 0 0 0 2 8 0
72.5 0 0 0 0 3 10 0
72.0 0 0 0 0 3 6 0
71.5 0 0 0 0 0 4 0
71.0 0 0 0 1 6 3 0
70.5 0 0 0 0 1 1 0
70.0 0 0 0 0 4 6 0
69.5 0 0 0 0 2 8 0
69.0 0 0 0 0 1 2 0
68.5 0 0 0 0 3 3 0
68.0 0 0 0 0 2 7 0
67.5 0 0 0 0 3 4 1
67.0 0 0 0 0 4 4 0
66.5 0 0 0 0 1 4 0
66.0 0 0 0 0 3 4 1
65.5 0 0 0 1 1 1 0
65.0 0 0 0 0 2 2 0
64.5 0 0 0 0 1 2 0
64.0 0 0 0 0 2 2 0
63.5 0 0 0 0 2 3 0
63.0 0 0 0 0 0 4 0
62.5 0 0 0 0 0 6 2
62.0 0 0 0 0 1 5 0
61.5 0 0 0 0 2 1 0
61.0 0 0 0 0 0 9 0
60.5 0 0 0 0 0 1 0
60.0 0 0 0 0 4 7 2
59.5 0 0 0 0 0 3 0
59.0 0 0 0 0 1 1 0
58.5 0 0 0 0 2 2 0
58.0 0 0 0 0 3 2 0
57.5 0 0 0 0 1 2 0
57.0 0 0 0 0 1 1 0
56.5 0 0 0 0 1 4 0
56.0 0 0 0 0 1 2 0
55.5 0 0 0 0 2 2 0
55.0 0 0 0 0 0 6 1
54.5 0 0 0 0 0 0 0
54.0 0 0 0 0 1 5 0
53.5 0 0 0 0 1 2 0
53.0 0 0 0 0 2 0 0
52.5 0 0 0 0 1 3 0
52.0 0 0 0 0 1 1 0
51.5 0 0 0 0 0 0 0
51.0 0 0 0 0 2 3 0
50.5 0 0 0 0 1 0 0
50.0 0 0 0 0 0 0 0
49.5 0 0 0 0 2 1 0
49.0 0 0 0 0 0 1 0
48.5 0 0 0 0 1 1 0
48.0 0 0 0 1 1 3 0
47.5 0 0 0 0 0 1 0
47.0 0 0 0 0 0 0 0
46.5 0 0 0 0 0 3 0
46.0 0 0 0 0 0 0 0
45.5 0 0 0 0 1 2 1
45.0 0 0 0 0 0 1 0
44.5 0 0 0 0 0 0 0
44.0 0 0 0 0 0 0 0
43.5 0 0 0 0 0 0 0
43.0 0 0 0 1 0 1 0
42.5 0 0 0 1 0 0 0
42.0 0 0 0 0 1 7 0
41.5 0 0 0 0 0 0 0
41.0 0 0 0 0 0 1 0
40.5 0 0 0 0 0 2 0
40.0 0 0 0 0 0 0 0
39.5 0 0 0 0 0 0 0
39.0 0 0 0 0 0 2 0
38.5 0 0 0 0 1 3 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 5 0
36.5 0 0 0 0 0 1 0
36.0 0 0 0 0 2 3 0
35.5 0 0 0 0 0 2 0
35.0 0 0 0 0 0 0 0
34.5 0 0 0 0 0 1 0
34.0 0 0 0 0 0 0 0
33.5 0 0 0 0 0 0 0
33.0 0 0 0 0 0 1 0
32.5 0 0 0 0 0 0 0
32.0 0 0 0 0 0 0 0
31.5 0 0 0 0 1 0 0
31.0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 0 0
30.0 0 0 0 0 0 0 0
29.5 0 0 0 0 0 0 0
29.0 0 0 0 0 0 1 0
28.5 0 0 0 0 0 0 0
28.0 0 0 0 0 1 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 0 0 0
26.0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 0
25.0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0
24.0 0 0 0 0 0 0 0
23.5 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 0
22.5 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 0
21.5 0 0 0 0 0 0 0
21.0 0 0 0 0 0 0 0
20.5 0 0 0 0 0 0 0
20.0 0 0 0 0 0 0 0
19.5 0 0 0 0 0 0 0
19.0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0
18.0 0 0 0 0 0 1 0
17.5 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0
16.5 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0
15.5 0 0 0 0 0 0 0
15.0 0 0 0 0 0 0 0
14.5 0 0 0 0 0 0 0
14.0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0
12.0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0
6.0 0 0 0 0 0 0 0
5.5 0 0 0 0 0 0 0
5.0 0 0 0 0 0 0 0
4.5 0 0 0 0 0 0 0
4.0 0 0 0 0 0 0 0
3.5 0 0 0 0 0 0 0
3.0 0 0 0 0 0 0 0
2.5 0 0 0 0 0 0 0
2.0 0 0 0 0 0 0 0
1.5 0 0 0 0 0 0 0
1.0 0 0 0 0 0 0 0
0.5 0 0 0 0 0 0 0
0 0 0 0 0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for *Ontario
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 0.47 2.20 0.77 5.03* 0.49 1.04 0.00
2 0.03 8.57* 0.20 0.89 0.03 0.27 0.00
3 0.47 2.39 0.54 4.86* 0.32 1.43 0.00
4 4.52* 0.20 0.40 3.88 0.07 0.92 0.00
5 0.62 3.73* 0.37 0.27 0.20 4.81 0.00
6 3.11 0.71 1.24* 0.55 1.56 2.82 0.00
7 1.71 1.75* 1.31 1.73 0.61 2.89 0.00
8 1.36 0.76 0.35 0.20 6.17* 1.16 0.00
9 1.51* 0.54 2.34 1.21 0.25 4.15 0.00
10 0.69 0.59 0.79 1.48 4.07* 2.39 0.00
11 0.25 0.13 0.25 0.18 7.50* 1.68 0.00
12 2.71* 2.89 0.17 1.04 0.67 2.52 0.00
13 6.05* 0.50 0.30 0.32 0.05 2.77 0.00
14 2.07* 1.09 0.61 0.86 0.92 4.45 0.00
15 0.66 1.80 4.39* 0.67 0.76 1.71 0.02
16 0.92 0.67 4.00* 0.25 0.86 3.29 0.00
17 0.55 0.89* 0.22 0.42 0.34 7.58 0.00
18 0.86 0.67* 0.44 0.76 0.67 6.61 0.00
19 0.32 0.45 0.57* 0.32 0.34 8.00 0.00
20 0.49 0.25 0.37 0.44 0.59* 7.87 0.00
21 0.81 0.71 1.55 2.49* 1.63 2.82 0.00
22 0.49 2.81* 0.67 0.30 0.08 5.65 0.00
23 0.39 0.44 1.23* 0.76 0.64 6.55 0.00
24 0.22 0.47 0.67 0.64 3.76* 4.22 0.02
25 0.39 0.57* 0.45 0.24 0.17 8.18 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2003 AMC 12 A Results for *Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 0 125.0 0 0 100.0 2 0
149.5 0 0 124.5 0 0 99.5 8 1
149.0 0 0 124.0 0 1 99.0 2 0
148.5 0 0 123.5 0 0 98.5 10 5
148.0 0 0 123.0 3 1 98.0 8 1
147.5 0 0 122.5 0 0 97.5 2 0
147.0 0 0 122.0 1 2 97.0 12 4
146.5 0 0 121.5 3 0 96.5 1 0
146.0 0 0 121.0 0 0 96.0 14 2
145.5 0 0 120.5 2 0 95.5 2 1
145.0 0 0 120.0 0 0 95.0 4 2
144.5 0 0 119.5 0 0 94.5 9 5
144.0 1 0 119.0 0 0 94.0 2 0
143.5 0 0 118.5 1 0 93.5 9 8
143.0 0 0 118.0 3 2 93.0 2 0
142.5 0 0 117.5 0 0 92.5 7 8
142.0 0 0 117.0 0 0 92.0 5 5
141.5 0 0 116.5 0 0 91.5 3 2
141.0 0 0 116.0 2 2 91.0 8 3
140.5 0 1 115.5 1 0 90.5 0 0
140.0 0 0 115.0 5 2 90.0 10 3
139.5 0 0 114.5 5 1 89.5 2 2
139.0 0 0 114.0 0 0 89.0 19 2
138.5 0 0 113.5 2 1 88.5 13 1
138.0 1 0 113.0 0 0 88.0 2 3
137.5 0 0 112.5 3 0 87.5 9 3
137.0 1 0 112.0 2 0 87.0 1 4
136.5 0 0 111.5 5 1 86.5 11 4
136.0 0 0 111.0 1 1 86.0 3 0
135.5 0 0 110.5 0 0 85.5 11 5
135.0 0 0 110.0 4 0 85.0 12 1
134.5 2 2 109.5 1 0 84.5 4 1
134.0 0 0 109.0 6 3 84.0 9 3
133.5 1 0 108.5 4 1 83.5 5 3
133.0 0 0 108.0 4 1 83.0 16 5
132.5 0 0 107.5 4 2 82.5 5 2
132.0 0 0 107.0 0 0 82.0 5 3
131.5 0 0 106.5 9 4 81.5 10 3
131.0 0 0 106.0 0 0 81.0 2 1
130.5 0 0 105.5 11 4 80.5 11 5
130.0 0 0 105.0 2 0 80.0 6 1
129.5 0 0 104.5 4 1 79.5 7 6
129.0 2 0 104.0 7 3 79.0 6 3
128.5 0 0 103.5 1 0 78.5 6 1
128.0 0 0 103.0 9 0 78.0 13 9
127.5 1 0 102.5 1 1 77.5 2 3
127.0 0 0 102.0 7 2 77.0 10 5
126.5 0 0 101.5 4 0 76.5 5 1
126.0 1 0 101.0 5 1 76.0 2 6
125.5 0 0 100.5 11 0 75.5 7 7
American Mathematics Competitions
2003 AMC 12 A Results for *Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 3 50.0 0 1 25.0 0 0
74.5 8 6 49.5 0 1 24.5 0 0
74.0 5 2 49.0 1 1 24.0 0 0
73.5 7 3 48.5 1 2 23.5 0 0
73.0 6 3 48.0 1 0 23.0 0 0
72.5 1 2 47.5 0 0 22.5 0 0
72.0 11 5 47.0 3 0 22.0 0 0
71.5 4 1 46.5 1 0 21.5 0 0
71.0 13 6 46.0 0 0 21.0 0 0
70.5 5 2 45.5 1 1 20.5 0 0
70.0 8 5 45.0 0 0 20.0 0 0
69.5 5 3 44.5 1 0 19.5 0 0
69.0 3 5 44.0 1 0 19.0 0 0
68.5 6 3 43.5 0 0 18.5 0 0
68.0 4 1 43.0 0 0 18.0 1 0
67.5 8 4 42.5 0 0 17.5 0 0
67.0 3 2 42.0 0 1 17.0 0 0
66.5 4 1 41.5 0 0 16.5 0 0
66.0 4 6 41.0 0 0 16.0 0 0
65.5 4 2 40.5 0 1 15.5 0 0
65.0 5 5 40.0 0 0 15.0 0 0
64.5 3 0 39.5 0 0 14.5 0 0
64.0 4 2 39.0 0 0 14.0 0 0
63.5 2 0 38.5 1 1 13.5 0 0
63.0 1 2 38.0 0 1 13.0 0 0
62.5 7 3 37.5 0 0 12.5 0 0
62.0 3 1 37.0 0 1 12.0 0 0
61.5 1 4 36.5 0 0 11.5 0 0
61.0 2 0 36.0 1 0 11.0 0 0
60.5 2 1 35.5 0 0 10.5 0 0
60.0 6 3 35.0 0 0 10.0 0 0
59.5 1 1 34.5 1 0 9.5 0 0
59.0 3 3 34.0 0 0 9.0 0 0
58.5 1 4 33.5 0 1 8.5 0 0
58.0 1 3 33.0 0 0 8.0 0 0
57.5 2 0 32.5 0 1 7.5 0 0
57.0 2 2 32.0 0 0 7.0 0 0
56.5 4 0 31.5 0 0 6.5 0 0
56.0 4 1 31.0 0 0 6.0 0 0
55.5 2 0 30.5 0 0 5.5 0 0
55.0 2 2 30.0 1 1 5.0 0 0
54.5 0 1 29.5 0 0 4.5 0 0
54.0 5 0 29.0 0 0 4.0 0 0
53.5 2 1 28.5 0 0 3.5 0 0
53.0 2 6 28.0 0 0 3.0 0 0
52.5 3 1 27.5 0 0 2.5 0 0
52.0 3 0 27.0 0 0 2.0 0 0
51.5 1 1 26.5 0 0 1.5 0 0
51.0 1 1 26.0 0 0 1.0 0 0
50.5 2 2 25.5 1 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for *Ontario
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 0 0 0 0 0 0 1 0 0 0
149.5 0 0 0 0 0 0 0 0 0 0
149.0 0 0 0 0 0 0 0 0 0 0
148.5 0 0 0 0 0 0 0 0 0 0
148.0 0 0 0 0 0 0 0 0 0 0
147.5 0 0 0 0 0 0 0 0 0 0
147.0 0 0 0 0 0 0 0 0 0 0
146.5 0 0 0 0 0 0 0 0 0 0
146.0 0 0 0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0 0 0 0
144.0 0 0 0 0 0 0 0 0 1 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 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 1 0 0
137.5 0 0 0 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 0 1 0 0
136.5 0 0 0 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 0 0 0 0
135.5 0 0 0 0 0 0 0 0 0 0
135.0 0 0 0 0 0 0 0 0 0 0
134.5 0 0 0 0 0 0 0 1 3 0
134.0 0 0 0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 0 0 0 1 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 1 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 1 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 1 0
125.5 0 0 0 0 0 0 1 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 0 0 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 2 1 1 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 1 1 1 0
121.5 0 0 0 0 0 0 2 1 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 1 1 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 0 0 0 0 0
119.0 0 0 0 0 0 0 0 0 0 0
118.5 0 0 0 0 0 0 0 1 0 0
118.0 0 0 0 0 0 0 1 3 1 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 0 0 0 0
116.5 0 0 0 0 0 0 0 0 0 0
116.0 0 0 0 0 0 0 1 2 1 0
115.5 0 0 0 0 0 0 0 1 0 0
115.0 0 0 0 0 1 1 2 3 0 0
114.5 0 0 0 0 0 0 2 4 0 0
114.0 0 0 0 0 0 0 1 0 0 0
113.5 0 0 0 0 0 1 0 1 0 1
113.0 0 0 0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 0 0 1 1 1
112.0 0 0 0 0 0 0 2 0 0 0
111.5 0 0 0 0 0 0 0 1 5 0
111.0 0 0 0 0 0 0 1 0 1 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 2 0 2 1
109.5 0 0 0 0 0 0 0 1 0 0
109.0 0 0 0 0 0 0 0 7 2 0
108.5 0 0 0 0 0 0 2 2 1 0
108.0 0 0 0 0 0 0 3 2 1 0
107.5 0 0 0 1 0 0 0 3 2 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 0 3 6 3 2
106.0 0 0 0 0 0 0 0 0 0 0
105.5 0 0 0 0 2 1 4 4 4 0
105.0 0 0 0 0 0 0 0 1 1 0
104.5 0 0 0 0 0 1 2 1 1 0
104.0 0 0 0 0 1 2 1 5 1 0
103.5 0 0 0 0 0 0 1 0 0 0
103.0 0 0 0 0 0 0 1 8 0 0
102.5 0 0 0 0 0 0 0 1 1 0
102.0 0 0 0 0 0 1 2 3 3 0
101.5 0 0 0 0 0 0 1 3 1 0
101.0 0 0 0 0 1 1 1 1 2 0
100.5 0 0 0 0 0 0 2 7 2 0
100.0 0 0 0 0 0 0 0 2 0 0
99.5 0 0 0 0 0 0 3 5 1 0
99.0 0 0 0 0 0 0 0 1 1 0
98.5 0 0 0 0 2 1 3 5 4 0
98.0 0 0 0 0 0 0 3 5 1 0
97.5 0 0 0 0 0 0 0 0 2 0
97.0 0 0 0 0 0 0 3 8 5 1
96.5 0 0 0 0 0 0 0 1 0 0
96.0 0 0 0 0 0 0 5 8 3 0
95.5 0 0 0 0 0 0 0 1 2 0
95.0 0 0 0 0 0 0 2 3 1 0
94.5 0 0 0 0 0 0 5 7 3 0
94.0 0 0 0 0 0 0 1 1 0 0
93.5 0 0 0 0 0 1 4 9 3 0
93.0 0 0 0 0 0 0 1 0 1 0
92.5 0 0 0 0 0 0 5 7 4 0
92.0 0 0 0 0 0 0 1 4 5 1
91.5 0 0 0 0 0 0 2 3 0 0
91.0 0 0 0 0 1 0 3 2 5 0
90.5 0 0 0 0 0 0 0 0 0 0
90.0 0 0 0 0 0 2 4 4 3 0
89.5 0 0 0 0 0 0 1 1 2 1
89.0 0 0 0 0 0 1 10 9 2 1
88.5 0 0 0 0 0 0 2 11 1 0
88.0 0 0 0 0 0 0 2 3 1 0
87.5 0 0 0 0 0 0 3 9 0 0
87.0 0 0 0 0 0 0 3 2 0 0
86.5 0 0 0 0 1 0 5 8 2 0
86.0 0 0 0 0 0 1 1 2 0 0
85.5 0 0 0 0 0 0 6 6 3 2
85.0 0 0 0 1 0 0 4 4 4 0
84.5 0 0 0 0 0 0 1 2 2 0
84.0 0 0 0 0 0 0 5 5 3 0
83.5 0 0 0 0 0 0 0 6 2 0
83.0 0 0 0 0 0 1 11 4 5 1
82.5 0 0 0 1 0 0 0 5 2 0
82.0 0 0 0 0 1 0 5 1 1 0
81.5 0 0 0 0 0 0 7 5 2 0
81.0 0 0 0 0 0 0 2 0 2 0
80.5 0 0 0 0 0 2 8 3 4 0
80.0 0 0 0 0 0 1 2 5 0 0
79.5 0 0 0 0 0 1 3 8 1 0
79.0 0 0 0 0 0 0 2 7 0 0
78.5 0 0 0 0 0 1 3 3 0 0
78.0 0 0 0 0 0 0 6 7 10 0
77.5 0 0 0 0 0 0 2 3 1 0
77.0 0 0 0 0 0 1 6 5 3 0
76.5 0 0 0 0 0 0 2 2 2 1
76.0 0 0 0 0 0 0 1 4 3 0
75.5 0 0 0 0 0 0 1 9 4 3
75.0 0 0 0 0 0 0 1 4 0 0
74.5 0 0 0 0 1 0 6 5 3 1
74.0 0 0 0 0 0 0 2 7 0 0
73.5 0 0 0 0 0 0 2 5 3 0
73.0 0 0 0 0 0 0 1 7 1 1
72.5 0 0 0 0 0 0 2 1 0 0
72.0 0 0 0 0 0 1 5 7 2 2
71.5 0 0 0 0 0 0 2 0 3 0
71.0 0 0 0 0 0 1 5 10 3 0
70.5 0 0 0 0 0 0 0 7 0 0
70.0 0 0 0 0 0 0 5 3 4 1
69.5 0 0 0 0 0 0 3 6 1 0
69.0 0 0 0 0 0 0 2 5 1 0
68.5 0 0 0 0 0 1 1 3 4 1
68.0 0 0 0 0 0 0 0 4 1 0
67.5 0 0 0 0 0 0 7 2 3 0
67.0 0 0 0 0 0 0 1 2 3 0
66.5 0 0 0 0 0 0 1 2 3 0
66.0 0 0 0 0 0 0 3 5 2 0
65.5 0 0 0 0 0 0 1 4 1 1
65.0 0 0 0 0 0 0 6 4 0 0
64.5 0 0 0 0 0 0 1 1 1 0
64.0 0 0 0 0 0 0 2 3 1 0
63.5 0 0 0 0 0 0 0 2 0 0
63.0 0 0 0 0 0 0 0 2 1 0
62.5 0 0 0 0 0 0 4 3 3 2
62.0 0 0 0 0 0 0 1 2 1 1
61.5 0 0 0 0 0 1 0 2 2 0
61.0 0 0 0 0 0 0 0 2 0 1
60.5 0 0 0 0 0 0 0 2 1 0
60.0 0 0 0 0 1 0 3 3 1 1
59.5 0 0 0 0 0 0 0 2 0 0
59.0 0 0 0 0 0 0 0 4 2 0
58.5 0 0 0 0 0 1 1 1 2 0
58.0 0 0 0 0 0 1 2 0 1 0
57.5 0 0 0 0 1 0 1 0 0 1
57.0 0 0 0 0 0 0 2 2 0 0
56.5 0 0 0 0 0 0 2 3 1 0
56.0 0 0 0 0 0 0 2 2 1 0
55.5 0 0 0 0 0 0 2 0 0 0
55.0 0 0 0 0 0 0 1 2 1 0
54.5 0 0 0 0 0 0 0 1 0 0
54.0 0 0 0 0 0 0 3 3 0 0
53.5 0 0 0 0 0 0 2 1 0 1
53.0 0 0 0 0 0 1 3 2 2 0
52.5 0 0 0 0 0 0 1 2 1 0
52.0 0 0 0 0 0 0 2 1 1 1
51.5 0 0 0 0 0 0 2 0 0 1
51.0 0 0 0 0 0 0 1 1 0 0
50.5 0 0 0 0 0 0 2 0 2 0
50.0 0 0 0 0 0 0 1 0 0 0
49.5 0 0 0 0 0 0 1 0 0 0
49.0 0 0 0 0 0 0 0 2 0 0
48.5 0 0 0 0 0 0 0 3 0 0
48.0 0 0 0 0 0 0 0 1 0 0
47.5 0 0 0 0 0 0 0 0 0 0
47.0 0 0 0 0 0 0 1 1 1 0
46.5 0 0 0 0 0 0 0 1 0 0
46.0 0 0 0 0 0 0 0 0 0 0
45.5 0 0 0 0 0 0 3 0 0 0
45.0 0 0 0 0 0 0 0 0 0 0
44.5 0 0 0 0 0 0 1 0 0 0
44.0 0 0 0 0 0 0 0 1 0 0
43.5 0 0 0 0 0 0 0 0 0 0
43.0 0 0 0 0 0 0 0 0 0 0
42.5 0 0 0 0 0 0 0 0 0 0
42.0 0 0 0 0 0 0 0 1 0 0
41.5 0 0 0 0 0 0 0 0 0 0
41.0 0 0 0 0 0 0 0 0 0 0
40.5 0 0 0 0 0 0 1 0 0 0
40.0 0 0 0 0 0 0 0 0 0 0
39.5 0 0 0 0 0 0 0 0 0 0
39.0 0 0 0 0 0 0 0 0 0 0
38.5 0 0 0 0 0 0 1 1 0 0
38.0 0 0 0 0 0 0 0 1 0 0
37.5 0 0 0 0 0 0 0 0 0 0
37.0 0 0 0 0 0 0 1 0 0 0
36.5 0 0 0 0 0 0 0 0 0 0
36.0 0 0 0 0 0 0 1 1 0 0
35.5 0 0 0 0 0 0 0 0 0 0
35.0 0 0 0 0 0 0 0 0 0 0
34.5 0 0 0 0 0 0 1 0 0 0
34.0 0 0 0 0 0 0 0 0 0 0
33.5 0 0 0 0 0 0 1 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 0 0 0 0
30.0 0 0 0 0 0 0 2 0 0 0
29.5 0 0 0 0 0 0 0 0 0 0
29.0 0 0 0 0 0 0 0 0 0 0
28.5 0 0 0 0 0 0 0 0 0 0
28.0 0 0 0 0 0 0 0 0 0 0
27.5 0 0 0 0 0 0 0 0 0 0
27.0 0 0 0 0 0 0 0 0 0 0
26.5 0 0 0 0 0 0 0 0 0 0
26.0 0 0 0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 1 0 0 0
25.0 0 0 0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0 0 0 0
24.0 0 0 0 0 0 0 0 0 0 0
23.5 0 0 0 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 0 0 0 0
22.5 0 0 0 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 0 0 0 0
21.5 0 0 0 0 0 0 0 0 0 0
21.0 0 0 0 0 0 0 0 0 0 0
20.5 0 0 0 0 0 0 0 0 0 0
20.0 0 0 0 0 0 0 0 0 0 0
19.5 0 0 0 0 0 0 0 0 0 0
19.0 0 0 0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0 0 0 0
18.0 0 0 0 0 0 0 0 0 1 0
17.5 0 0 0 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0 0 0 0
16.5 0 0 0 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0 0 0 0
15.5 0 0 0 0 0 0 0 0 0 0
15.0 0 0 0 0 0 0 0 0 0 0
14.5 0 0 0 0 0 0 0 0 0 0
14.0 0 0 0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0
12.0 0 0 0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0 0 0 0
6.0 0 0 0 0 0 0 0 0 0 0
5.5 0 0 0 0 0 0 0 0 0 0
5.0 0 0 0 0 0 0 0 0 0 0
4.5 0 0 0 0 0 0 0 0 0 0
4.0 0 0 0 0 0 0 0 0 0 0
3.5 0 0 0 0 0 0 0 0 0 0
3.0 0 0 0 0 0 0 0 0 0 0
2.5 0 0 0 0 0 0 0 0 0 0
2.0 0 0 0 0 0 0 0 0 0 0
1.5 0 0 0 0 0 0 0 0 0 0
1.0 0 0 0 0 0 0 0 0 0 0
0.5 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for *Ontario
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 0.30 1.05 0.42 6.84* 0.44 0.95 0.00
2 0.01 9.11* 0.07 0.62 0.02 0.17 0.00
3 0.19 2.04 0.13 6.92* 0.11 0.59 0.01
4 6.47* 0.05 0.15 3.02 0.01 0.30 0.00
5 0.22 0.08 0.07 0.16 8.77* 0.70 0.00
6 0.96 1.86 4.29* 0.42 0.71 1.75 0.01
7 1.38 2.74* 1.03 2.25 0.36 2.24 0.00
8 0.80 0.30 0.31 0.26 7.53* 0.79 0.00
9 0.32 0.72 0.95 3.62* 0.14 4.24 0.00
10 0.43 0.73 0.49 4.43* 0.19 3.73 0.00
11 0.76 0.86 2.44* 0.46 0.51 4.97 0.00
12 0.08 0.21 0.39 0.34 6.90* 2.09 0.00
13 0.29 0.33 0.58 1.23 5.54* 2.03 0.00
14 0.44 0.37 0.27 6.77* 0.65 1.50 0.00
15 0.36 0.40 1.49* 0.28 0.37 7.10 0.00
16 0.61 0.61 3.24* 0.47 1.11 3.96 0.00
17 0.50 1.47* 0.45 0.59 0.10 6.90 0.00
18 0.14 0.70* 0.28 0.16 0.23 8.50 0.00
19 0.34 0.42 0.94 1.14* 0.69 6.47 0.00
20 0.39* 0.27 0.90 1.08 0.12 7.25 0.00
21 0.75 0.25 0.19 0.84* 1.17 6.80 0.00
22 0.38 0.49 0.32* 0.46 0.15 8.20 0.00
23 0.20 0.62* 0.21 0.15 0.15 8.67 0.00
24 0.16 1.74* 0.86 0.10 0.13 7.01 0.00
25 0.28 0.27 0.20* 0.03 1.11 8.11 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 *Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 0 2 100.0 1 0
149.5 0 0 124.5 0 0 99.5 0 0
149.0 0 0 124.0 0 0 99.0 0 0
148.5 0 0 123.5 0 0 98.5 1 2
148.0 0 0 123.0 2 0 98.0 1 3
147.5 0 0 122.5 0 0 97.5 0 1
147.0 0 0 122.0 1 0 97.0 3 2
146.5 0 0 121.5 2 0 96.5 2 1
146.0 0 0 121.0 0 0 96.0 2 3
145.5 0 0 120.5 1 0 95.5 1 1
145.0 0 0 120.0 1 1 95.0 1 1
144.5 0 0 119.5 0 0 94.5 1 3
144.0 1 0 119.0 1 0 94.0 3 0
143.5 0 0 118.5 0 0 93.5 2 2
143.0 0 0 118.0 0 1 93.0 0 1
142.5 0 0 117.5 0 0 92.5 0 2
142.0 0 0 117.0 0 0 92.0 1 3
141.5 0 0 116.5 1 0 91.5 0 1
141.0 0 0 116.0 1 1 91.0 3 1
140.5 0 0 115.5 0 0 90.5 1 0
140.0 0 0 115.0 1 0 90.0 3 4
139.5 0 0 114.5 2 1 89.5 1 3
139.0 0 0 114.0 1 0 89.0 1 0
138.5 0 0 113.5 1 0 88.5 0 0
138.0 1 0 113.0 0 0 88.0 0 1
137.5 0 0 112.5 1 1 87.5 3 2
137.0 0 0 112.0 0 0 87.0 1 1
136.5 0 0 111.5 0 0 86.5 1 0
136.0 0 0 111.0 1 1 86.0 4 4
135.5 0 0 110.5 0 0 85.5 1 1
135.0 0 0 110.0 2 1 85.0 2 2
134.5 1 0 109.5 3 0 84.5 1 5
134.0 0 0 109.0 1 0 84.0 6 3
133.5 0 0 108.5 2 0 83.5 2 2
133.0 0 0 108.0 0 0 83.0 1 3
132.5 1 0 107.5 2 3 82.5 0 0
132.0 0 0 107.0 2 0 82.0 1 1
131.5 0 0 106.5 0 0 81.5 3 0
131.0 0 0 106.0 0 1 81.0 0 1
130.5 0 0 105.5 1 4 80.5 3 3
130.0 0 0 105.0 1 0 80.0 2 1
129.5 0 0 104.5 0 0 79.5 2 1
129.0 1 1 104.0 2 1 79.0 4 0
128.5 1 0 103.5 1 0 78.5 0 2
128.0 0 0 103.0 0 2 78.0 2 1
127.5 1 0 102.5 3 2 77.5 1 2
127.0 0 0 102.0 0 0 77.0 1 4
126.5 0 1 101.5 6 2 76.5 2 1
126.0 0 0 101.0 0 0 76.0 1 3
125.5 1 0 100.5 4 3 75.5 1 3
American Mathematics Competitions
2003 AMC 10 B Results for *Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 2 50.0 0 0 25.0 0 0
74.5 0 1 49.5 1 1 24.5 0 0
74.0 1 1 49.0 0 0 24.0 0 0
73.5 2 1 48.5 1 0 23.5 0 0
73.0 1 0 48.0 0 0 23.0 0 0
72.5 0 0 47.5 0 1 22.5 1 0
72.0 0 5 47.0 0 0 22.0 0 0
71.5 1 2 46.5 0 1 21.5 0 0
71.0 2 2 46.0 0 0 21.0 0 0
70.5 0 1 45.5 0 0 20.5 1 0
70.0 0 0 45.0 0 0 20.0 0 0
69.5 1 0 44.5 1 0 19.5 0 0
69.0 2 1 44.0 1 0 19.0 0 0
68.5 1 1 43.5 0 0 18.5 0 0
68.0 1 1 43.0 0 0 18.0 0 0
67.5 0 1 42.5 0 0 17.5 0 0
67.0 2 2 42.0 0 1 17.0 0 0
66.5 1 2 41.5 1 0 16.5 0 0
66.0 0 1 41.0 0 0 16.0 0 0
65.5 0 5 40.5 0 0 15.5 0 0
65.0 1 0 40.0 0 0 15.0 0 0
64.5 1 1 39.5 0 0 14.5 0 0
64.0 1 1 39.0 0 0 14.0 0 0
63.5 1 1 38.5 0 1 13.5 0 0
63.0 3 0 38.0 0 0 13.0 0 0
62.5 1 2 37.5 0 0 12.5 0 0
62.0 1 1 37.0 0 0 12.0 0 0
61.5 0 0 36.5 0 0 11.5 0 0
61.0 0 1 36.0 1 3 11.0 0 0
60.5 0 0 35.5 0 0 10.5 0 0
60.0 4 1 35.0 0 0 10.0 0 0
59.5 0 0 34.5 0 0 9.5 0 0
59.0 1 1 34.0 0 0 9.0 0 0
58.5 0 0 33.5 0 0 8.5 0 0
58.0 1 1 33.0 0 0 8.0 0 0
57.5 0 1 32.5 0 0 7.5 0 0
57.0 1 0 32.0 0 0 7.0 0 0
56.5 1 0 31.5 0 0 6.5 0 0
56.0 0 3 31.0 0 0 6.0 0 0
55.5 0 0 30.5 0 0 5.5 0 0
55.0 1 1 30.0 0 1 5.0 0 0
54.5 1 1 29.5 0 0 4.5 0 0
54.0 0 2 29.0 2 0 4.0 0 0
53.5 1 0 28.5 0 0 3.5 0 0
53.0 0 0 28.0 0 0 3.0 0 0
52.5 0 1 27.5 0 0 2.5 0 0
52.0 2 0 27.0 0 0 2.0 0 0
51.5 0 1 26.5 0 0 1.5 0 0
51.0 0 0 26.0 0 0 1.0 0 0
50.5 0 0 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 B Results for *Ontario
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 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 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 1 0
134.0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 0 0
133.0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 1 0
132.0 0 0 0 0 0 0 0
131.5 0 0 0 0 0 0 0
131.0 0 0 0 0 0 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 1 1 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 0 1 0
127.0 0 0 0 0 0 0 0
126.5 0 0 0 0 1 0 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 2 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 1 1 0
122.5 0 0 0 0 0 0 0
122.0 0 0 0 1 0 0 0
121.5 0 0 0 0 1 1 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 0 2 0
119.5 0 0 0 0 0 0 0
119.0 0 0 0 0 1 0 0
118.5 0 0 0 0 0 0 0
118.0 0 0 0 0 1 1 0
117.5 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 0
116.5 0 0 0 0 0 1 0
116.0 0 0 0 0 1 1 0
115.5 0 0 0 0 0 0 0
115.0 0 0 0 0 1 0 0
114.5 0 0 0 0 2 2 0
114.0 0 0 0 0 0 1 0
113.5 0 0 0 0 2 0 0
113.0 0 0 0 0 0 0 0
112.5 0 0 0 0 1 1 0
112.0 0 0 0 0 0 0 0
111.5 0 0 0 0 0 0 0
111.0 0 0 0 0 0 2 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 1 1 1 0
109.5 0 0 0 0 2 1 0
109.0 0 0 0 1 0 0 0
108.5 0 0 0 0 1 1 0
108.0 0 0 0 0 0 0 0
107.5 0 0 0 0 2 3 0
107.0 0 0 0 0 1 1 0
106.5 0 0 0 0 0 0 0
106.0 0 0 0 0 0 1 0
105.5 0 0 0 1 1 3 0
105.0 0 0 0 0 0 1 0
104.5 0 0 0 0 0 0 0
104.0 0 0 0 1 1 1 0
103.5 0 0 0 0 1 0 0
103.0 0 0 0 0 0 2 0
102.5 0 0 0 0 3 3 0
102.0 0 0 0 0 0 0 0
101.5 0 0 0 0 2 6 0
101.0 0 0 0 0 0 0 0
100.5 0 0 0 0 4 3 0
100.0 0 0 0 0 0 1 0
99.5 0 0 0 0 0 0 0
99.0 0 0 0 0 0 0 0
98.5 0 0 0 0 0 3 0
98.0 0 0 0 1 1 2 0
97.5 0 0 0 0 0 1 0
97.0 0 0 0 0 2 3 0
96.5 0 0 0 0 0 4 0
96.0 0 0 0 0 0 5 0
95.5 0 0 0 0 1 1 0
95.0 0 0 0 0 0 2 0
94.5 0 0 0 0 2 2 0
94.0 0 0 0 0 2 1 0
93.5 0 0 0 0 1 3 0
93.0 0 0 0 0 0 1 0
92.5 0 0 0 0 0 2 0
92.0 0 0 0 0 2 2 0
91.5 0 0 0 0 0 1 0
91.0 0 0 0 0 1 3 0
90.5 0 0 0 0 0 0 1
90.0 0 0 0 1 4 2 0
89.5 0 0 0 0 0 4 0
89.0 0 0 0 0 1 0 0
88.5 0 0 0 0 0 0 1
88.0 0 0 0 0 0 1 0
87.5 0 0 0 0 1 4 1
87.0 0 0 0 0 1 3 0
86.5 0 0 0 0 0 1 0
86.0 0 0 0 0 4 4 0
85.5 0 0 0 0 0 2 0
85.0 0 0 0 0 0 5 0
84.5 0 0 0 0 1 5 0
84.0 0 0 0 0 2 6 2
83.5 0 0 0 0 0 4 0
83.0 0 0 0 0 2 2 0
82.5 0 0 0 0 0 0 0
82.0 0 0 0 0 0 2 0
81.5 0 0 0 0 1 3 0
81.0 0 0 0 0 0 1 0
80.5 0 0 0 1 1 4 0
80.0 0 0 0 0 0 3 0
79.5 0 0 0 0 2 1 0
79.0 0 0 0 1 0 3 1
78.5 0 0 0 0 1 1 0
78.0 0 0 0 0 0 3 0
77.5 0 0 0 0 0 3 0
77.0 0 0 0 0 0 5 0
76.5 0 0 0 0 1 2 0
76.0 0 0 0 0 3 1 0
75.5 0 0 0 0 2 3 2
75.0 0 0 0 1 3 1 0
74.5 0 0 0 0 0 1 0
74.0 0 0 0 0 0 2 0
73.5 0 0 0 0 1 2 0
73.0 0 0 0 0 1 0 0
72.5 0 0 0 0 0 0 0
72.0 0 0 0 0 2 3 0
71.5 0 0 0 1 0 2 0
71.0 0 0 0 0 3 1 0
70.5 0 0 0 0 1 0 0
70.0 0 0 0 0 0 0 0
69.5 0 0 0 0 0 1 0
69.0 0 0 0 0 2 1 0
68.5 0 0 0 0 0 2 0
68.0 0 0 0 0 0 2 0
67.5 0 0 0 0 0 1 0
67.0 0 0 0 0 2 2 0
66.5 0 0 0 0 1 2 0
66.0 0 0 0 0 0 1 0
65.5 0 0 0 0 1 4 0
65.0 0 0 0 0 1 0 0
64.5 0 0 0 0 1 1 0
64.0 0 0 0 0 1 0 1
63.5 0 0 0 1 0 1 0
63.0 0 0 0 2 1 0 0
62.5 0 0 0 0 2 1 2
62.0 0 0 0 0 0 2 0
61.5 0 0 0 0 0 0 0
61.0 0 0 0 0 0 1 0
60.5 0 0 0 0 0 0 0
60.0 0 0 0 0 3 2 0
59.5 0 0 0 0 0 0 0
59.0 0 0 0 0 0 2 0
58.5 0 0 0 0 0 0 0
58.0 0 0 0 0 1 1 0
57.5 0 0 0 0 0 1 0
57.0 0 0 0 0 1 0 0
56.5 0 0 0 0 0 1 0
56.0 0 0 0 0 1 2 0
55.5 0 0 0 0 0 0 0
55.0 0 0 0 0 0 2 0
54.5 0 0 0 0 0 2 0
54.0 0 0 0 0 1 1 0
53.5 0 0 0 0 0 1 0
53.0 0 0 0 0 0 0 0
52.5 0 0 0 0 0 1 0
52.0 0 0 0 0 0 2 0
51.5 0 0 0 0 1 0 0
51.0 0 0 0 0 0 0 0
50.5 0 0 0 0 0 0 0
50.0 0 0 0 0 0 0 0
49.5 0 0 0 0 2 0 0
49.0 0 0 0 0 0 0 0
48.5 0 0 0 0 1 0 0
48.0 0 0 0 0 0 0 0
47.5 0 0 0 0 0 1 0
47.0 0 0 0 0 0 0 0
46.5 0 0 0 0 1 0 0
46.0 0 0 0 0 0 0 0
45.5 0 0 0 0 0 0 0
45.0 0 0 0 0 0 0 0
44.5 0 0 0 0 0 1 0
44.0 0 0 0 1 0 0 0
43.5 0 0 0 0 0 0 0
43.0 0 0 0 0 0 0 0
42.5 0 0 0 0 0 0 0
42.0 0 0 0 0 1 0 0
41.5 0 0 0 0 0 1 0
41.0 0 0 0 0 0 0 0
40.5 0 0 0 0 0 0 0
40.0 0 0 0 0 0 0 0
39.5 0 0 0 0 0 0 0
39.0 0 0 0 0 0 0 0
38.5 0 0 0 0 1 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 1 3 0
35.5 0 0 0 0 0 0 0
35.0 0 0 0 0 0 0 0
34.5 0 0 0 0 0 0 0
34.0 0 0 0 0 0 0 0
33.5 0 0 0 0 0 0 0
33.0 0 0 0 0 0 0 0
32.5 0 0 0 0 0 0 0
32.0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 0 0
31.0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 0 0
30.0 0 0 0 0 1 0 0
29.5 0 0 0 0 0 0 0
29.0 0 0 0 0 0 2 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 1 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 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 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 *Ontario
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 0.08 0.11 9.64* 0.08 0.00 0.08 0.00
2 0.05 0.03 1.70 7.58* 0.33 0.30 0.00
3 0.44 6.98* 0.85 0.47 0.14 1.13 0.00
4 9.18* 0.14 0.08 0.00 0.14 0.47 0.00
5 0.22 0.33 3.74* 1.07 1.43 3.21 0.00
6 0.74 1.73 0.30 5.36* 0.58 1.29 0.00
7 0.49 6.46* 0.47 0.96 0.25 1.37 0.00
8 0.19 1.48* 0.47 0.69 0.44 6.73 0.00
9 0.49 4.01* 0.52 0.49 0.44 4.04 0.00
10 0.36 0.60 3.74* 0.44 0.63 4.23 0.00
11 5.93* 0.44 0.47 0.41 1.04 1.70 0.00
12 0.52 0.16 7.23* 0.25 0.16 1.68 0.00
13 2.34 0.58 0.38 0.82 2.99* 2.88 0.00
14 0.96 0.52 0.25 4.62* 0.11 3.54 0.00
15 1.40 1.84 0.36 0.63 3.27* 2.50 0.00
16 0.30 0.38 0.71 0.49 5.30* 2.80 0.00
17 0.19 2.86* 0.77 0.58 0.25 5.36 0.00
18 0.27 1.35 0.41 2.23* 1.68 4.07 0.00
19 0.19 0.49 0.60 0.55 1.10* 7.06 0.00
20 0.27 0.25 0.47 3.49* 1.62 3.90 0.00
21 1.62 0.44 1.02* 1.40 0.60 4.92 0.00
22 1.43 2.77* 1.32 0.66 0.33 3.49 0.00
23 0.36 0.38 0.82 1.51* 0.41 6.51 0.00
24 0.08 0.22 1.35 0.30 0.11* 7.94 0.00
25 1.15 2.58* 0.88 0.41 0.11 4.86 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 *Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 0 125.0 0 0 100.0 1 0
149.5 0 0 124.5 0 0 99.5 5 7
149.0 0 0 124.0 0 1 99.0 1 2
148.5 0 0 123.5 0 0 98.5 4 1
148.0 0 0 123.0 3 1 98.0 4 1
147.5 0 0 122.5 0 0 97.5 1 1
147.0 0 0 122.0 4 0 97.0 1 2
146.5 1 0 121.5 3 1 96.5 3 0
146.0 0 0 121.0 0 0 96.0 9 4
145.5 0 0 120.5 3 1 95.5 1 3
145.0 0 0 120.0 0 0 95.0 3 4
144.5 0 0 119.5 4 1 94.5 2 2
144.0 1 0 119.0 2 0 94.0 2 0
143.5 0 0 118.5 2 1 93.5 5 4
143.0 0 0 118.0 0 0 93.0 1 0
142.5 0 0 117.5 0 0 92.5 9 2
142.0 0 0 117.0 5 2 92.0 2 0
141.5 0 0 116.5 1 0 91.5 0 0
141.0 0 0 116.0 2 2 91.0 10 1
140.5 0 0 115.5 3 1 90.5 3 1
140.0 0 0 115.0 1 0 90.0 6 4
139.5 1 0 114.5 7 0 89.5 0 1
139.0 0 0 114.0 0 0 89.0 5 1
138.5 0 0 113.5 7 1 88.5 7 3
138.0 2 1 113.0 0 0 88.0 2 1
137.5 0 0 112.5 4 3 87.5 7 3
137.0 5 0 112.0 3 1 87.0 1 1
136.5 0 0 111.5 3 0 86.5 10 5
136.0 2 0 111.0 3 2 86.0 2 0
135.5 0 0 110.5 0 0 85.5 2 4
135.0 0 0 110.0 5 0 85.0 9 2
134.5 1 1 109.5 0 1 84.5 3 2
134.0 0 0 109.0 2 2 84.0 8 3
133.5 1 0 108.5 0 0 83.5 1 1
133.0 0 0 108.0 0 1 83.0 7 5
132.5 0 0 107.5 1 2 82.5 2 0
132.0 0 1 107.0 0 0 82.0 1 0
131.5 0 0 106.5 7 1 81.5 2 5
131.0 2 0 106.0 0 0 81.0 0 1
130.5 0 0 105.5 1 2 80.5 6 5
130.0 1 1 105.0 3 2 80.0 1 2
129.5 0 0 104.5 2 0 79.5 6 1
129.0 3 0 104.0 7 1 79.0 2 2
128.5 1 0 103.5 0 0 78.5 3 1
128.0 0 0 103.0 8 4 78.0 5 4
127.5 1 0 102.5 0 0 77.5 4 2
127.0 0 0 102.0 7 4 77.0 6 2
126.5 0 1 101.5 4 1 76.5 5 3
126.0 0 0 101.0 2 2 76.0 1 2
125.5 2 0 100.5 5 3 75.5 5 3
American Mathematics Competitions
2003 AMC 12 B Results for *Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 0 0 50.0 0 0 25.0 0 0
74.5 9 6 49.5 1 0 24.5 0 0
74.0 4 1 49.0 0 1 24.0 1 0
73.5 4 1 48.5 0 0 23.5 0 0
73.0 2 2 48.0 1 0 23.0 0 0
72.5 3 1 47.5 0 1 22.5 0 0
72.0 4 3 47.0 0 1 22.0 0 0
71.5 1 2 46.5 0 0 21.5 0 0
71.0 5 3 46.0 0 0 21.0 0 0
70.5 7 1 45.5 0 1 20.5 0 0
70.0 2 1 45.0 0 0 20.0 0 0
69.5 2 1 44.5 1 0 19.5 0 0
69.0 3 1 44.0 0 0 19.0 0 0
68.5 2 4 43.5 0 0 18.5 0 0
68.0 1 2 43.0 0 0 18.0 1 0
67.5 3 2 42.5 0 0 17.5 0 0
67.0 2 3 42.0 0 0 17.0 0 0
66.5 2 2 41.5 0 0 16.5 0 0
66.0 6 1 41.0 0 0 16.0 0 0
65.5 1 1 40.5 0 0 15.5 0 0
65.0 3 0 40.0 0 0 15.0 0 0
64.5 1 0 39.5 0 1 14.5 0 0
64.0 3 2 39.0 0 0 14.0 0 0
63.5 2 1 38.5 0 0 13.5 0 0
63.0 1 1 38.0 0 0 13.0 0 0
62.5 7 0 37.5 0 0 12.5 0 0
62.0 0 2 37.0 0 0 12.0 0 0
61.5 0 1 36.5 0 0 11.5 0 0
61.0 1 0 36.0 0 0 11.0 0 0
60.5 4 3 35.5 0 0 10.5 0 0
60.0 3 1 35.0 0 0 10.0 0 0
59.5 0 0 34.5 0 0 9.5 0 0
59.0 0 0 34.0 0 0 9.0 0 0
58.5 2 1 33.5 0 0 8.5 0 0
58.0 1 3 33.0 0 0 8.0 0 0
57.5 3 0 32.5 0 1 7.5 0 0
57.0 2 0 32.0 0 0 7.0 0 0
56.5 1 2 31.5 1 0 6.5 0 0
56.0 0 0 31.0 0 0 6.0 0 0
55.5 0 0 30.5 0 0 5.5 0 0
55.0 0 0 30.0 0 1 5.0 0 0
54.5 3 1 29.5 0 0 4.5 0 0
54.0 4 0 29.0 0 0 4.0 0 0
53.5 0 0 28.5 0 0 3.5 0 0
53.0 0 0 28.0 0 0 3.0 0 0
52.5 1 1 27.5 0 0 2.5 0 0
52.0 0 0 27.0 0 0 2.0 0 0
51.5 0 0 26.5 0 0 1.5 0 0
51.0 0 0 26.0 0 0 1.0 0 0
50.5 0 1 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 B Results for *Ontario
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 0 0 0 0 1 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 1 0 0
146.0 0 0 0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0 0 0 0
144.0 0 0 0 0 0 1 0 0 0 0
143.5 0 0 0 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0 0 0 0
140.5 0 0 0 0 0 0 0 0 0 0
140.0 0 0 0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 0 0 1 0 0
139.0 0 0 0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0 0 0 0
138.0 0 0 0 0 0 0 0 3 0 0
137.5 0 0 0 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 2 2 1 0
136.5 0 0 0 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 0 2 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 2 0 0 0
134.0 0 0 0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 0 0 1 0 0
133.0 0 0 0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0 0 0 0
132.0 0 0 0 0 0 0 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 1 0 0
130.5 0 0 0 0 0 0 0 0 0 0
130.0 0 0 0 0 0 1 1 0 0 0
129.5 0 0 0 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0 3 0 0
128.5 0 0 0 0 0 0 1 0 0 1
128.0 0 0 0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 1 0 0 0
127.0 0 0 0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 0 1 0 0
126.0 0 0 0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 0 0 2 0 0
125.0 0 0 0 0 0 0 0 0 0 0
124.5 0 0 0 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 1 0 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0 3 1 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 1 0 3 0 0
121.5 0 0 0 0 0 0 2 2 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 1 0 2 1 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 1 0 1 1 2 0 0
119.0 0 0 0 0 0 0 1 1 0 0
118.5 0 0 0 0 0 0 0 2 1 0
118.0 0 0 0 0 0 0 0 1 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 2 5 0 0
116.5 0 0 0 0 0 0 0 1 0 0
116.0 0 0 0 0 0 0 2 3 0 0
115.5 0 0 0 0 0 0 3 1 0 0
115.0 0 0 0 0 0 0 0 1 0 0
114.5 0 0 0 0 0 0 2 5 0 0
114.0 0 0 0 0 0 0 0 0 0 0
113.5 0 0 0 0 0 3 2 2 1 0
113.0 0 0 0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 0 1 5 0 1
112.0 0 0 0 1 0 0 0 3 0 0
111.5 0 0 0 0 0 0 2 1 0 0
111.0 0 0 0 0 0 1 1 3 0 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 1 0 2 3 0 0
109.5 0 0 0 0 0 0 1 0 0 0
109.0 0 0 0 0 0 0 2 3 0 1
108.5 0 0 0 0 0 0 0 0 0 0
108.0 0 0 0 0 0 0 0 1 0 0
107.5 0 0 0 0 0 0 1 2 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 1 1 5 1 1
106.0 0 0 0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 0 0 2 1 0
105.0 0 0 0 0 0 0 0 3 2 0
104.5 0 0 0 0 0 0 2 0 0 0
104.0 0 0 0 0 0 0 3 5 0 0
103.5 0 0 0 0 0 0 0 0 0 0
103.0 0 0 0 0 0 0 3 7 2 0
102.5 0 0 0 0 0 0 0 0 0 0
102.0 0 0 0 0 0 1 3 6 1 0
101.5 0 0 0 0 0 1 1 2 1 0
101.0 0 0 0 0 0 0 1 2 1 0
100.5 0 0 0 0 0 0 1 6 1 0
100.0 0 0 0 0 0 0 0 1 0 0
99.5 0 0 0 0 0 1 4 7 0