American Mathematics Competitions
2005 AMC 10 A Results for Alabama
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 454
Number of unofficial participants: 0
Average score of participants: 76.3
Average score for female students is: 70.2 ( 208 Students)
Average score for male students is: 81.8 ( 224 Students)
Average score for unspecified gender is 78.3 ( 22 Students)
Average score for grade 10 is: 77.9 ( 231 Students)
Average score for grade 9 is: 74.0 ( 194 Students)
Average score for grade 8 and below is: 79.1 ( 23 Students)
Average score with unknown grade: 81.3 ( 6 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 16
Number of schools returning results 20
Average school winning score 102.07
American Mathematics Competitions
2005 AMC 12 A Results for Alabama
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 451
Number of unofficial participants: 0
Average score of participants: 81.5
Average score for female students is: 77.5 ( 193 Students)
Average score for male students is: 84.8 ( 246 Students)
Average score for unspecified gender is 79.1 ( 12 Students)
Average score for grade 12 is: 84.4 ( 181 Students)
Average score for grade 11 is: 78.3 ( 228 Students)
Average score for grade 10 is: 92.1 ( 30 Students)
Average score for grade 9 is: 70.9 ( 9 Students)
Average score with unknown grade: 86.5 ( 3 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 84
Number of schools returning results 22
Average school winning score 103.73
Average school team score 288.07
American Mathematics Competitions
2005 AMC 10 B Results for Alabama
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 232
Number of unofficial participants: 0
Average score of participants: 84.2
Average score for female students is: 83.9 ( 69 Students)
Average score for male students is: 85.7 ( 136 Students)
Average score for unspecified gender is 77.6 ( 27 Students)
Average score for grade 10 is: 80.8 ( 113 Students)
Average score for grade 9 is: 91.1 ( 97 Students)
Average score for grade 8 and below is: 96.3 ( 2 Students)
Average score with unknown grade: 68.9 ( 20 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 12
Number of schools returning results 9
Average school winning score 117.00
American Mathematics Competitions
2005 AMC 12 B Results for Alabama
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 328
Number of unofficial participants: 0
Average score of participants: 86.3
Average score for female students is: 82.8 ( 123 Students)
Average score for male students is: 89.0 ( 180 Students)
Average score for unspecified gender is 84.1 ( 25 Students)
Average score for grade 12 is: 86.2 ( 139 Students)
Average score for grade 11 is: 83.0 ( 128 Students)
Average score for grade 10 is: 96.8 ( 45 Students)
Average score for grade 9 is: 122.0 ( 1 Student)
Average score with unknown grade: 80.6 ( 15 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 73
Number of schools returning results 13
Average school winning score 106.96
Average school team score 293.50
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
399.5 1 1
398.0 1 2
375.0 1 3
368.0 1 4
366.5 1 5
357.5 1 6
356.0 1 7
346.0 1 8
344.5 1 9
338.5 1 10
317.5 1 11
309.5 2 1 12
308.5 1 15
303.5 1 16
303.0 1 17
302.0 1 18
288.5 1 19
286.0 1 1 20
272.5 1 22
270.5 1 23
260.5 1 24
258.5 1 25
255.0 1 26
250.0 1 27
248.0 1 28
241.5 1 29
237.0 1 30
231.0 1 31
218.5 1 32
204.0 1 33
146.5 1 34
86.5 1 35
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
146.5 1
144.0 3
143.0 1 1
139.5 1
137.0 2
133.5 1 1
132.5 1
132.0 1
131.0 1 1
130.0 2
129.0 1 1
128.5 1
127.5 1 1 1
126.5 1 1
125.5 3 1
124.0 3 1
123.0 1 1 1
122.5 1
122.0 2 5
121.5 1 2 1
120.5 1 2 1
119.5 2 2 1
119.0 1 1
118.5 1 1
118.0 1 2
117.0 4 2 1 2
116.0 5 2 3
115.5 2
115.0 4 1
114.5 1 2
113.5 1 1 1
113.0 1
112.5 7 2
112.0 2 1
111.5 6 3 1
111.0 2 1 2
110.0 2 3 1
109.5 3 1
109.0 9 4
108.5 1 2 1
108.0 1 3 2
107.5 1 3 2 3
106.5 2 6 1
106.0 1 3 1
105.5 2 1
105.0 1 2 1
104.5 4 4 1
104.0 1 3 5 3
103.5 2
103.0 5 2 1 2
102.5 1 3 2
102.0 6 3 1 3
101.5 1 3 2
101.0 5 5 1 1
100.5 2 3 2
100.0 2 1
99.5 4 5 1 1
99.0 3 2 2
98.5 6 3 1 4
98.0 3 1 3 2
97.5 1 1
97.0 4 3 2 2
96.5 1
96.0 7 2 2 4
95.5 1 4 3
95.0 6 7 1 1
94.5 2 2 2
94.0 3 2 2 3
93.5 7 1 4 1
93.0 2 2
92.5 7 10 5 3
92.0 1 2 5 3
91.5 5 6 1 2
91.0 3 1 3 4
90.5 2 2 1 6
90.0 6 9 3 6
89.5 1 3
89.0 8 8 2 4
88.5 4 1 2
88.0 4 2 4 5
87.5 1 4 2 3
87.0 3 3 3 1
86.5 7 6 2 3
86.0 1 2 1
85.5 6 4 8
85.0 3 5 1
84.5 8 6 1 3
84.0 3 4 5 1
83.5 2 1 3 1
83.0 8 7 4 4
82.5 2 3 2
82.0 8 8 5 3
81.5 1 2 4
81.0 5 6 3 2
80.5 2 8 9 2
80.0 4 2 3 2
79.5 2 7 2 4
79.0 2 5 2 3
78.5 10 2 5 2
78.0 7 7 4 2
77.5 6 2 5 1
77.0 8 5 6
76.5 3 1 3 1
76.0 3 3 1 4
75.5 3 2 2
75.0 11 1 1 3
74.5 2 5 8
74.0 6 1 3 2
73.5 2 6 7 2
73.0 4 6 3
72.5 6 2 6 1
72.0 2 2 8 1
71.5 11 1 8 1
71.0 3 2 9 3
70.5 2 2
70.0 5 4 4 3
69.5 1 3 1
69.0 6 4 3 1
68.5 3 2 5
68.0 10 2 9
67.5 4 1 9 3
67.0 2 3 4
66.5 4 1 8 6
66.0 3 1 4 3
65.5 1 2 7 1
65.0 5 1 4
64.5 3 2 3 1
64.0 9 4 2
63.5 6 4 8 1
63.0 2 1 5
62.5 4 1 2 2
62.0 9 7 1
61.5 2 2 3
61.0 1 6 1
60.5 2 1 8
60.0 3 1
59.5 4 5 2
59.0 1 2 2
58.5 3 1 5
58.0 4 1
57.5 1 2 1 4
57.0 1 4 1
56.5 4 1
56.0 2 4
55.5 3 1 3
55.0 1 2 2
54.5 3 4
54.0 2 1 1
53.5 1 4
53.0 2 1 1
52.5 3 3
52.0 1 1
51.5 3 1
51.0 4 2 2 1
50.5 1 4 4
50.0 2 2
49.5 3 1
49.0 2 1
48.5 2
48.0 1 6 1
47.5 1 2
47.0 2
46.5 1 2
46.0 1
45.5 1 1
45.0 1
44.5 1 2
44.0 2 1 1
43.5 2
43.0 1
42.5 1 1
42.0 2 3
41.5 1
40.5 1
40.0 1
39.5 1 1
39.0 1 1
38.5 1
38.0 1
36.5 1
36.0 2 3 1
35.5 1
33.5 1
32.5 1 1
31.0 1
24.0 1 3
23.0 1
18.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Alabama
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0
149.5 124.5 99.5 1
149.0 124.0 1 99.0 1
148.5 123.5 98.5 1
148.0 123.0 1 98.0 3
147.5 122.5 1 97.5 1
147.0 122.0 97.0 1 1
146.5 121.5 2 96.5 1
146.0 121.0 96.0 2
145.5 120.5 2 95.5 3
145.0 120.0 95.0 1
144.5 119.5 2 94.5 2
144.0 119.0 1 94.0 1 1
143.5 118.5 93.5 2 1
143.0 118.0 93.0 1
142.5 117.5 92.5 2 3
142.0 117.0 1 92.0 3 1
141.5 116.5 91.5 1
141.0 116.0 1 1 91.0 2 1
140.5 115.5 1 1 90.5 1
140.0 115.0 90.0 2 1
139.5 1 114.5 89.5
139.0 114.0 89.0 2
138.5 113.5 1 88.5 1
138.0 113.0 1 88.0 3 1
137.5 112.5 1 1 87.5 2
137.0 112.0 1 87.0 2 1
136.5 111.5 1 86.5 2
136.0 111.0 1 86.0 2
135.5 110.5 85.5 4 4
135.0 110.0 85.0 4 1
134.5 109.5 1 84.5 1
134.0 109.0 84.0 2 3
133.5 1 108.5 1 1 83.5 3
133.0 108.0 83.0 2 2
132.5 107.5 1 1 82.5 2 1
132.0 1 107.0 82.0 3 2
131.5 106.5 1 81.5 1 1
131.0 1 106.0 1 2 81.0 2 1
130.5 105.5 80.5 5 4
130.0 105.0 2 80.0 2 1
129.5 104.5 1 79.5 1
129.0 1 104.0 4 79.0 2
128.5 1 103.5 1 78.5 2 3
128.0 103.0 78.0 3 1
127.5 1 102.5 3 77.5 1 4
127.0 102.0 1 77.0 2 4
126.5 1 101.5 2 1 76.5 2 1
126.0 101.0 1 76.0 1
125.5 1 100.5 2 75.5 1 1
American Mathematics Competitions
2005 AMC 10 A Results for Alabama
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 1 1 25.0
74.5 6 2 49.5 1 24.5
74.0 1 2 49.0 1 1 24.0 1 2
73.5 3 4 48.5 2 23.5
73.0 2 1 48.0 1 5 23.0
72.5 5 1 47.5 1 22.5
72.0 4 4 47.0 2 22.0
71.5 3 5 46.5 1 1 21.5
71.0 5 3 46.0 1 21.0
70.5 2 45.5 1 20.5
70.0 1 3 45.0 1 20.0
69.5 1 2 44.5 19.5
69.0 1 2 44.0 19.0
68.5 1 4 43.5 18.5
68.0 4 4 43.0 18.0
67.5 4 5 42.5 1 17.5
67.0 3 1 42.0 17.0
66.5 6 2 41.5 16.5
66.0 2 2 41.0 16.0
65.5 5 40.5 1 15.5
65.0 1 3 40.0 15.0
64.5 1 2 39.5 1 14.5
64.0 2 1 39.0 1 14.0
63.5 3 5 38.5 13.5
63.0 1 4 38.0 13.0
62.5 1 1 37.5 12.5
62.0 4 3 37.0 12.0
61.5 1 1 36.5 11.5
61.0 1 5 36.0 3 11.0
60.5 1 5 35.5 1 10.5
60.0 1 35.0 10.0
59.5 2 2 34.5 9.5
59.0 1 1 34.0 9.0
58.5 1 4 33.5 8.5
58.0 1 3 33.0 8.0
57.5 1 32.5 1 7.5
57.0 2 1 32.0 7.0
56.5 2 2 31.5 6.5
56.0 1 2 31.0 6.0
55.5 2 30.5 5.5
55.0 1 1 30.0 5.0
54.5 3 1 29.5 4.5
54.0 1 29.0 4.0
53.5 1 2 28.5 3.5
53.0 1 28.0 3.0
52.5 2 1 27.5 2.5
52.0 1 27.0 2.0
51.5 1 26.5 1.5
51.0 1 1 26.0 1.0
50.5 1 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Alabama
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
139.5 1
133.5 1
132.0 1
131.0 1
129.0 1
128.5 1
127.5 1
126.5 1
125.5 1
124.0 1
123.0 1
122.5 1
121.5 1 1
120.5 1 1
119.5 2
119.0 1
117.0 1
116.0 2
115.5 2
113.5 1
113.0 1
112.5 2
112.0 1
111.5 1
111.0 1
109.5 1 1 1
108.5 1 1
107.5 2
106.5 1
106.0 1 2
105.0 2
104.5 1
104.0 2 3
103.5 1 1
103.0 1
102.5 1 1 1
102.0 1
101.5 3
101.0 1
100.5 1 1
99.5 1
99.0 1 1
98.5 1
98.0 2 1
97.5 1
97.0 1 1
96.5 1
96.0 1 1
95.5 1 2
95.0 1
94.5 2
94.0 1 1
93.5 3 1
93.0 1 1
92.5 1 4
92.0 2 3
91.5 1
91.0 1 2
90.5 1
90.0 3
89.0 2
88.5 1
88.0 2 2
87.5 2
87.0 1 1 1
86.5 1 1
86.0 2
85.5 1 3 4
85.0 2 3
84.5 1
84.0 2 3
83.5 3
83.0 2 2
82.5 1 2
82.0 2 2 1
81.5 2
81.0 3
80.5 5 4
80.0 1 2
79.5 2
79.0 1 1
78.5 2 3
78.0 1 1 2
77.5 3 2
77.0 3 3
76.5 1 2
76.0 1
75.5 2
75.0 1
74.5 3 4 1
74.0 2 1
73.5 3 4
73.0 3
72.5 1 3 2
72.0 4 4
71.5 5 3
71.0 2 6 1
70.5 2
70.0 3 1
69.5 1 2
69.0 1 2
68.5 1 4
68.0 6 3
67.5 4 5
67.0 1 2 1
66.5 5 3
66.0 1 3
65.5 2 5
65.0 1 3
64.5 1 2
64.0 1 3
63.5 1 2 5
63.0 3 2
62.5 1 1
62.0 5 2
61.5 1 1
61.0 3 3
60.5 1 3 4
60.0 1
59.5 1 1 3
59.0 1 1
58.5 1 3 1
58.0 3 1
57.5 1
57.0 2 2
56.5 1 2 1
56.0 2 1 1
55.5 3
55.0 2
54.5 3 1
54.0 1
53.5 1 3
53.0 1
52.5 1 1 1
52.0 1
51.5 1
51.0 1 1
50.5 2 2
50.0 2
49.5 1
49.0 1 1
48.5 2
48.0 1 5
47.5 1
47.0 1 1
46.5 2
46.0 1
45.5 1
45.0 1
42.5 1
40.5 1
39.5 1
39.0 1
36.0 3
35.5 1
32.5 1
24.0 3
American Mathematics Competitions
2005 AMC 10 A Results for Alabama
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.31 0.11 0.37 8.28* 0.42 0.51 0.00
2 0.15 0.18 6.08* 0.09 1.34 2.16 0.00
3 0.09 8.96* 0.15 0.29 0.11 0.40 0.00
4 0.42 2.31* 1.85 0.59 0.42 4.38 0.02
5 5.84* 0.44 3.63 0.00 0.07 0.02 0.00
6 0.40 4.56* 3.30 0.18 0.13 1.43 0.00
7 0.62 4.10* 0.42 0.24 0.68 3.94 0.00
8 1.08 0.20 4.56* 0.13 0.11 3.92 0.00
9 0.97 5.59* 0.95 0.35 0.18 1.96 0.00
10 2.53* 0.42 0.70 0.44 0.09 5.81 0.00
11 0.48 2.49* 0.15 0.68 0.13 6.06 0.00
12 0.22 1.89* 0.40 0.11 0.44 6.94 0.00
13 0.95 0.42 0.53 0.24 1.43* 6.43 0.00
14 0.84 0.44 0.35 0.31 2.60* 5.46 0.00
15 0.55 1.12 0.75 1.43 0.97* 5.18 0.00
16 0.42 0.37 0.66 2.53* 0.13 5.88 0.00
17 0.40 0.24 0.66 2.18* 0.42 6.10 0.00
18 1.50* 2.25 0.86 2.78 0.22 2.40 0.00
19 0.40 0.90 0.73 3.06* 0.68 4.23 0.00
20 1.10* 0.24 0.44 0.42 0.20 7.60 0.00
21 1.41 0.97* 0.18 0.33 0.33 6.78 0.00
22 0.64 0.46 0.37 2.49* 0.48 5.55 0.00
23 0.29 0.31 1.65* 0.73 0.51 6.52 0.00
24 1.30 0.99* 0.15 0.20 0.09 7.27 0.00
25 0.37 0.37 0.73 0.75* 0.09 7.69 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
2005 AMC 12 A Results for Alabama
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0
149.5 124.5 99.5 3 1
149.0 124.0 99.0
148.5 123.5 98.5 6
148.0 123.0 98.0 3
147.5 122.5 97.5 1
147.0 122.0 1 1 97.0 3
146.5 121.5 96.5
146.0 121.0 96.0 6 1
145.5 120.5 1 95.5 1
145.0 120.0 95.0 4 2
144.5 119.5 1 1 94.5
144.0 119.0 94.0 2 1
143.5 118.5 1 93.5 6 1
143.0 1 118.0 1 93.0
142.5 117.5 92.5 5 2
142.0 117.0 2 2 92.0 1
141.5 116.5 91.5 2 2
141.0 116.0 3 2 91.0 1 2
140.5 115.5 90.5 1 1
140.0 115.0 2 2 90.0 5 1
139.5 114.5 89.5 1
139.0 114.0 89.0 4 4
138.5 113.5 1 88.5
138.0 113.0 88.0 2 2
137.5 112.5 2 4 87.5
137.0 2 112.0 87.0 3
136.5 111.5 5 1 86.5 3 3
136.0 111.0 86.0 1
135.5 110.5 85.5 4 2
135.0 110.0 1 1 85.0
134.5 109.5 84.5 7 1
134.0 109.0 4 5 84.0 2 1
133.5 108.5 1 83.5 2
133.0 108.0 1 83.0 5 3
132.5 1 107.5 1 82.5 1 1
132.0 107.0 82.0 7 1
131.5 106.5 1 1 81.5
131.0 106.0 1 81.0 2 3
130.5 105.5 1 1 80.5 2
130.0 105.0 80.0 2 2
129.5 104.5 4 79.5 2
129.0 104.0 1 79.0 2
128.5 103.5 78.5 6 4
128.0 103.0 2 3 78.0 2 5
127.5 1 102.5 77.5 3 3
127.0 102.0 3 2 77.0 8
126.5 101.5 76.5 1 2
126.0 101.0 2 3 76.0 1 1
125.5 2 1 100.5 2 75.5 2 1
American Mathematics Competitions
2005 AMC 12 A Results for Alabama
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 6 5 50.0 2 25.0
74.5 1 1 49.5 2 1 24.5
74.0 1 5 49.0 24.0 1
73.5 1 1 48.5 23.5
73.0 1 3 48.0 23.0
72.5 3 3 47.5 22.5
72.0 1 1 47.0 22.0
71.5 1 9 46.5 21.5
71.0 2 1 46.0 21.0
70.5 1 1 45.5 1 20.5
70.0 2 3 45.0 20.0
69.5 1 44.5 1 19.5
69.0 2 4 44.0 1 1 19.0
68.5 3 43.5 18.5
68.0 4 6 43.0 18.0
67.5 2 2 42.5 1 17.5
67.0 2 42.0 2 17.0
66.5 2 1 41.5 1 16.5
66.0 1 2 41.0 16.0
65.5 1 40.5 15.5
65.0 2 3 40.0 1 15.0
64.5 1 2 39.5 14.5
64.0 6 3 39.0 1 14.0
63.5 2 4 38.5 1 13.5
63.0 1 1 38.0 13.0
62.5 2 2 37.5 12.5
62.0 3 6 37.0 12.0
61.5 36.5 11.5
61.0 36.0 1 1 11.0
60.5 1 1 35.5 10.5
60.0 1 2 35.0 10.0
59.5 3 1 34.5 9.5
59.0 1 34.0 9.0
58.5 1 2 33.5 8.5
58.0 33.0 8.0
57.5 1 32.5 7.5
57.0 1 32.0 7.0
56.5 31.5 6.5
56.0 1 31.0 1 6.0
55.5 2 30.5 5.5
55.0 1 30.0 5.0
54.5 29.5 4.5
54.0 2 29.0 4.0
53.5 28.5 3.5
53.0 1 1 28.0 3.0
52.5 2 1 27.5 2.5
52.0 1 27.0 2.0
51.5 1 2 26.5 1.5
51.0 2 2 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Alabama
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
143.0 1
137.0 1 1
132.5 1
127.5 1
125.5 1 2
122.0 2
120.5 1
119.5 1 1
118.5 1
118.0 1
117.0 2 1 1
116.0 2 3
115.0 1 3
113.5 1
112.5 1 1 5
111.5 1 2 3
110.0 2
109.0 1 5 3
108.5 1
108.0 1
107.5 1
106.5 1 1
106.0 1
105.5 2
104.5 1 2 1
104.0 1
103.0 2 3
102.0 1 5
101.0 3 2
100.5 2
99.5 1 2 1
98.5 1 2 3
98.0 1 2
97.5 1
97.0 4
96.0 1 3 3
95.5 1
95.0 4 2
94.0 2 1
93.5 4 3
92.5 2 3 2
92.0 1
91.5 1 3 1
91.0 2 1
90.5 2
90.0 3 3
89.5 1
89.0 5 3
88.0 1 3
87.5 1
87.0 2 1
86.5 5 2
86.0 1
85.5 1 2 3
84.5 1 4 3
84.0 1 2
83.5 2
83.0 4 4
82.5 1 1
82.0 1 1 3 3
81.0 1 2 2
80.5 2
80.0 1 3
79.5 2
79.0 2
78.5 8 2
78.0 3 4
77.5 4 2
77.0 1 3 4
76.5 2 1
76.0 1 1 1
75.5 1 2
75.0 1 3 7
74.5 1 1
74.0 4 2
73.5 1 1
73.0 1 3
72.5 3 3
72.0 1 1
71.5 5 6
71.0 2 1
70.5 2
70.0 4 1
69.5 1
69.0 3 3
68.5 2 1
68.0 7 3
67.5 1 2 1
67.0 1 1
66.5 2 2
66.0 2 1
65.5 1
65.0 5
64.5 3
64.0 1 6 2
63.5 1 5
63.0 1 1
62.5 2 2
62.0 7 2
60.5 1 1
60.0 1 2
59.5 3 1
59.0 1
58.5 3
57.5 1
57.0 1
56.0 1 1
55.5 1 1 1
55.0 1
54.0 1 1
53.0 1 1
52.5 1 2
52.0 1
51.5 3
51.0 1 1 2
50.5 1
50.0 2
49.5 1 2
46.5 1
45.5 1
44.5 1
44.0 2
42.5 1
42.0 2
41.5 1
40.0 1
39.0 1
38.5 1
36.0 2
31.0 1
24.0 1
American Mathematics Competitions
2005 AMC 12 A Results for Alabama
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.04 0.07 0.09 9.40* 0.13 0.27 0.00
2 0.07 9.36* 0.09 0.38 0.04 0.07 0.00
3 0.31 4.46* 1.29 0.33 0.31 3.30 0.00
4 6.85* 0.42 2.59 0.02 0.02 0.09 0.00
5 0.11 7.27* 1.75 0.07 0.04 0.75 0.00
6 0.47 5.37* 0.27 0.22 0.58 3.10 0.00
7 0.58 0.11 7.25* 0.09 0.09 1.88 0.00
8 0.16 0.33 0.40 3.24* 0.11 5.76 0.00
9 3.64* 0.24 0.86 0.11 0.07 5.08 0.00
10 0.42 3.44* 0.09 0.62 0.16 5.28 0.00
11 0.80 0.47 0.40 0.38 3.59* 4.37 0.00
12 1.13 0.18 0.20 3.53* 1.02 3.95 0.00
13 0.18 0.22 0.27 2.90* 0.44 5.99 0.00
14 0.22 0.35 3.13 1.33* 0.24 4.72 0.00
15 0.22 0.38 1.64* 0.69 0.73 6.34 0.00
16 0.11 0.29 0.84 0.91* 0.38 7.47 0.00
17 2.00* 0.71 0.98 0.29 0.33 5.70 0.00
18 0.38* 0.33 0.42 0.31 0.07 8.49 0.00
19 0.80 2.51* 0.71 0.38 0.78 4.83 0.00
20 0.22 0.20 0.11 0.09 0.29* 9.09 0.00
21 0.27 0.35 0.51* 0.20 0.09 8.58 0.00
22 0.40 1.00* 0.29 0.20 0.18 7.94 0.00
23 0.38 0.62* 0.18 0.22 0.33 8.27 0.00
24 0.02 0.13* 0.22 0.18 0.00 9.45 0.00
25 0.18 0.18 0.13* 0.16 0.09 9.27 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
2005 AMC 10 B Results for Alabama
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 1
149.5 124.5 99.5 1
149.0 124.0 99.0 1
148.5 123.5 98.5 3 1
148.0 123.0 1 98.0 2
147.5 122.5 97.5
147.0 122.0 97.0 2
146.5 1 121.5 1 96.5
146.0 121.0 96.0 2 2
145.5 120.5 1 95.5
145.0 120.0 95.0 1
144.5 119.5 1 94.5 1
144.0 3 119.0 1 94.0 2
143.5 118.5 93.5 1
143.0 118.0 93.0 2
142.5 117.5 92.5 2 1
142.0 117.0 1 92.0 2 1
141.5 116.5 91.5 1 1
141.0 116.0 3 91.0 3 1
140.5 115.5 90.5 4 2
140.0 115.0 90.0 3 3
139.5 114.5 1 1 89.5 2 1
139.0 114.0 89.0 4
138.5 113.5 88.5 1 1
138.0 113.0 88.0 2 2
137.5 112.5 87.5 2 1
137.0 112.0 87.0 1
136.5 111.5 86.5 1 1
136.0 111.0 2 86.0 1
135.5 110.5 85.5
135.0 110.0 85.0 1
134.5 109.5 1 84.5 2 1
134.0 109.0 84.0 1
133.5 1 108.5 1 83.5 1
133.0 108.0 2 83.0 1 3
132.5 107.5 2 1 82.5 2
132.0 107.0 82.0 2 1
131.5 106.5 81.5 3 1
131.0 106.0 1 81.0 1
130.5 105.5 80.5 2
130.0 2 105.0 1 80.0 1
129.5 104.5 79.5 1
129.0 1 104.0 1 1 79.0 2 1
128.5 103.5 78.5 2
128.0 103.0 2 78.0 1 1
127.5 1 102.5 2 77.5
127.0 102.0 1 2 77.0
126.5 101.5 2 76.5 1
126.0 101.0 76.0 2
125.5 100.5 75.5
American Mathematics Competitions
2005 AMC 10 B Results for Alabama
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 2 50.0 25.0
74.5 49.5 24.5
74.0 1 1 49.0 1 24.0
73.5 2 48.5 23.5
73.0 48.0 1 23.0
72.5 1 47.5 1 22.5
72.0 1 47.0 22.0
71.5 1 46.5 21.5
71.0 2 46.0 21.0
70.5 45.5 20.5
70.0 2 45.0 20.0
69.5 1 44.5 2 19.5
69.0 1 44.0 1 19.0
68.5 43.5 1 1 18.5
68.0 43.0 1 18.0 1
67.5 2 1 42.5 17.5
67.0 42.0 17.0
66.5 3 3 41.5 16.5
66.0 1 2 41.0 16.0
65.5 1 40.5 15.5
65.0 40.0 15.0
64.5 1 39.5 14.5
64.0 1 39.0 14.0
63.5 1 38.5 13.5
63.0 38.0 1 13.0
62.5 2 37.5 12.5
62.0 37.0 12.0
61.5 2 1 36.5 1 11.5
61.0 1 36.0 1 11.0
60.5 35.5 10.5
60.0 35.0 10.0
59.5 1 34.5 9.5
59.0 1 1 34.0 9.0
58.5 33.5 8.5
58.0 1 33.0 8.0
57.5 2 1 32.5 1 7.5
57.0 1 32.0 7.0
56.5 31.5 6.5
56.0 31.0 6.0
55.5 30.5 5.5
55.0 2 30.0 5.0
54.5 29.5 4.5
54.0 1 29.0 4.0
53.5 28.5 3.5
53.0 28.0 3.0
52.5 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Alabama
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
146.5 1
144.0 1 2
133.5 1
130.0 2
129.0 1
127.5 1
123.0 1
121.5 1
120.5 1
119.5 1
119.0 1
117.0 1 1
116.0 2 1
114.5 2
111.0 2
110.0 1
109.5 1
108.5 1
108.0 1 1
107.5 1 2
106.0 1
105.0 1
104.0 2 1
103.0 1 1
102.5 1 1
102.0 2 1
101.5 1 1
101.0 1
100.0 1
99.5 1
99.0 1 1
98.5 3 1
98.0 1 1
97.0 2
96.0 4
95.0 1
94.5 2
94.0 2 1
93.5 1
93.0 1 1
92.5 2 1
92.0 2 1
91.5 1 1
91.0 3 1
90.5 2 4
90.0 1 5
89.5 1 2
89.0 2 1 1
88.5 2
88.0 5
87.5 2 1
87.0 1
86.5 1 2
86.0 1
85.0 1
84.5 3
84.0 1
83.5 1
83.0 2 2
82.5 1 1
82.0 1 2
81.5 3 1
81.0 2
80.5 2
80.0 2
79.5 1 3
79.0 2 1
78.5 1 1
78.0 1 1
77.5 1
76.5 1
76.0 1 1 2
75.0 1 2
74.0 1 1
73.5 1 1
72.5 1
72.0 1
71.5 1
71.0 2 1
70.0 1 1 1
69.5 1
69.0 1
67.5 1 2
66.5 6
66.0 1 2
65.5 1
64.5 1
64.0 1 1
63.5 1
62.5 1 1
62.0 1
61.5 3
61.0 1
59.5 1 1
59.0 1 1
58.0 1
57.5 3 1
57.0 1
56.5 1
55.0 2
54.0 1
51.0 1
49.0 1
48.0 1
47.5 1 1
44.5 2
44.0 1
43.5 2
43.0 1
38.0 1
36.5 1
36.0 1
33.5 1
32.5 1
18.0 1
American Mathematics Competitions
2005 AMC 10 B Results for Alabama
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 8.23* 0.34 0.47 0.13 0.47 0.34 0.00
2 0.13 0.13 0.17 8.71* 0.17 0.69 0.00
3 0.00 0.47 2.28 5.91* 0.91 0.43 0.00
4 0.39 0.00 0.60 6.85* 0.09 2.07 0.00
5 0.04 0.04 9.14* 0.09 0.22 0.47 0.00
6 0.13 8.45* 0.17 0.09 0.26 0.91 0.00
7 0.82 3.41* 0.22 0.95 0.65 3.97 0.00
8 6.77* 0.04 0.52 0.00 0.09 2.59 0.00
9 0.65 0.43 1.72 5.00* 0.47 1.72 0.00
10 2.11* 0.39 0.60 0.34 0.34 6.21 0.00
11 0.26 0.65 0.13 1.38 2.07* 5.52 0.00
12 0.52 0.91 0.82 0.26 0.73* 6.77 0.00
13 0.52 0.34 1.90* 1.77 0.30 5.17 0.00
14 0.30 0.17 3.15* 0.91 0.17 5.30 0.00
15 1.29 0.30 0.73 4.22* 0.39 3.06 0.00
16 0.39 0.78 0.56 0.73* 0.17 7.37 0.00
17 0.78 2.37* 1.03 0.26 0.39 5.17 0.00
18 0.39 4.40 0.99 2.72* 0.43 1.08 0.00
19 0.47 6.29* 0.30 0.52 0.26 2.16 0.00
20 0.47 0.22 1.55* 0.43 0.30 7.03 0.00
21 0.43* 0.22 0.47 0.43 0.22 8.23 0.00
22 0.52 1.51 1.21* 0.13 0.26 6.38 0.00
23 2.33 0.52 1.38* 0.26 0.13 5.39 0.00
24 0.30 0.13 0.26 0.39 1.64* 7.28 0.00
25 0.39 0.26 3.41* 0.22 0.13 5.60 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
2005 AMC 12 B Results for Alabama
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 2
149.5 124.5 99.5 2 2
149.0 124.0 2 1 99.0 2 1
148.5 123.5 98.5 2 1
148.0 123.0 98.0 1
147.5 122.5 97.5
147.0 122.0 5 97.0 1 2
146.5 121.5 1 96.5
146.0 121.0 96.0 1
145.5 120.5 95.5 4
145.0 120.0 95.0 3 4
144.5 119.5 94.5 2
144.0 119.0 94.0 2
143.5 118.5 1 93.5 1
143.0 1 118.0 1 1 93.0
142.5 117.5 92.5 9 1
142.0 117.0 2 92.0 1
141.5 116.5 91.5 3 2
141.0 116.0 91.0 1
140.5 115.5 90.5 1 1
140.0 115.0 90.0 6 2
139.5 114.5 1 89.5
139.0 114.0 89.0 7 1
138.5 113.5 1 88.5 2 2
138.0 113.0 88.0 1 1
137.5 112.5 87.5 2 2
137.0 112.0 2 87.0 1 1
136.5 111.5 2 1 86.5 3 3
136.0 111.0 1 1 86.0
135.5 110.5 85.5 3 1
135.0 110.0 1 1 85.0 3
134.5 109.5 84.5 1 5
134.0 109.0 2 2 84.0 2 2
133.5 108.5 83.5 1
133.0 108.0 3 83.0 3 4
132.5 107.5 2 82.5
132.0 107.0 82.0 5 3
131.5 106.5 3 3 81.5 1
131.0 1 106.0 81.0 5
130.5 105.5 1 80.5 6 1
130.0 105.0 1 80.0 2
129.5 104.5 2 2 79.5 2 2
129.0 104.0 3 79.0 3 2
128.5 103.5 78.5 1 1
128.0 103.0 1 1 78.0 4 2
127.5 102.5 1 77.5 1 1
127.0 102.0 3 77.0 1 4
126.5 1 101.5 1 76.5
126.0 101.0 5 76.0 2 1
125.5 100.5 1 1 75.5 1 1
American Mathematics Competitions
2005 AMC 12 B Results for Alabama
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 25.0
74.5 3 2 49.5 24.5
74.0 1 49.0 24.0
73.5 3 3 48.5 23.5
73.0 5 48.0 1 23.0 1
72.5 1 1 47.5 22.5
72.0 1 1 47.0 22.0
71.5 46.5 21.5
71.0 1 1 46.0 21.0
70.5 45.5 20.5
70.0 2 2 45.0 20.0
69.5 44.5 19.5
69.0 1 2 44.0 1 19.0
68.5 2 43.5 18.5
68.0 1 1 43.0 18.0
67.5 1 42.5 17.5
67.0 3 42.0 1 1 17.0
66.5 1 41.5 16.5
66.0 1 41.0 16.0
65.5 1 40.5 15.5
65.0 1 40.0 15.0
64.5 2 39.5 1 14.5
64.0 39.0 14.0
63.5 2 1 38.5 13.5
63.0 1 38.0 13.0
62.5 1 37.5 12.5
62.0 37.0 12.0
61.5 1 1 36.5 11.5
61.0 1 36.0 11.0
60.5 1 35.5 10.5
60.0 35.0 10.0
59.5 34.5 9.5
59.0 34.0 9.0
58.5 1 33.5 8.5
58.0 33.0 8.0
57.5 2 32.5 7.5
57.0 32.0 7.0
56.5 31.5 6.5
56.0 31.0 6.0
55.5 1 30.5 5.5
55.0 30.0 5.0
54.5 1 2 29.5 4.5
54.0 29.0 4.0
53.5 1 28.5 3.5
53.0 1 28.0 3.0
52.5 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 1 26.0 1.0
50.5 1 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Alabama
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
143.0 1
131.0 1
126.5 1
124.0 1 2
123.0 1
122.0 1 2 2
121.5 1
118.5 1
118.0 1 1
117.0 1 1
115.0 1
114.5 1
113.5 1
112.0 1 1
111.5 2 1
111.0 1 1
110.0 2 1
109.0 3 1
108.0 2 1
107.5 1 1 1
106.5 3 2 1
105.5 1
105.0 1
104.5 4
104.0 1 2
103.0 1 1
102.5 1
102.0 1 1 1
101.5 1
101.0 3 2
100.5 1 1 1
100.0 1 1
99.5 3 2
99.0 1 2
98.5 2 1
98.0 1
97.0 2 1
96.0 1 1
95.5 2 2
95.0 1 1 5
94.5 1 1
94.0 1 1
93.5 1
92.5 3 7
92.0 1 1
91.5 4 2
91.0 1
90.5 2
90.0 2 2 4 1
89.0 3 5
88.5 2 2
88.0 2
87.5 1 3
87.0 2 1
86.5 4 2
85.5 2 2
85.0 2 1
84.5 4 2
84.0 1 3
83.5 1
83.0 1 6
82.0 2 6
81.5 1
81.0 2 3 1
80.5 2 6
80.0 2
79.5 5 2
79.0 2 2 1
78.5 1 1
78.0 2 5
77.5 1 1
77.0 2 3
76.5 1
76.0 2 1
75.5 1 1
75.0 1
74.5 4 1
74.0 1
73.5 1 3 2
73.0 3 2 1
72.5 2
72.0 1 1
71.5 1
71.0 2
70.0 3 1
69.0 3 1
68.5 1 1
68.0 1 1
67.5 1
67.0 1 2
66.5 1
66.0 1
65.5 1 1
65.0 1
64.5 1 1
63.5 4
63.0 1
62.5 1
61.5 2
61.0 1
60.5 1
58.5 1
57.5 2
55.5 1
54.5 2 1
53.5 1
53.0 1
51.0 2
50.5 4
48.0 1
44.0 1
42.0 1 1 1
39.5 1
23.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Alabama
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 8.93* 0.15 0.34 0.21 0.27 0.09 0.00
2 0.12 0.21 0.09 8.90* 0.15 0.52 0.00
3 0.00 0.03 8.96* 0.06 0.37 0.58 0.00
4 0.12 8.90* 0.09 0.03 0.15 0.67 0.03
5 7.32* 0.06 0.82 0.03 0.06 1.71 0.00
6 3.41* 0.88 0.46 0.24 0.18 4.82 0.00
7 0.91 1.40 0.09 3.11* 0.58 3.90 0.00
8 0.52 1.04 4.42* 0.00 0.64 3.38 0.00
9 0.49 7.59* 0.18 0.55 0.27 0.91 0.00
10 0.12 0.24 0.06 1.71 4.09* 3.78 0.00
11 1.22 1.25 0.61 4.42* 0.21 2.29 0.00
12 0.24 0.49 0.79 1.68* 0.03 6.77 0.00
13 0.30 0.27 0.18 3.20* 0.03 6.01 0.00
14 0.91 0.58 0.67 0.27 1.28* 6.28 0.00
15 0.37 0.24 0.37 4.94* 0.55 3.54 0.00
16 0.18 0.12 0.88 0.85* 0.21 7.74 0.00
17 0.34 1.19* 0.27 0.06 0.40 7.74 0.00
18 0.76 0.58 0.58* 0.27 0.30 7.50 0.00
19 0.21 0.06 0.09 0.37 2.99* 6.28 0.00
20 0.09 0.24 4.82* 0.49 1.31 3.05 0.00
21 0.06 0.15 0.79* 0.67 0.09 8.23 0.00
22 0.43 0.55 0.09 0.03 0.18* 8.72 0.00
23 0.06 0.21* 0.18 0.03 0.03 9.48 0.00
24 0.15* 0.09 0.09 0.09 0.27 9.30 0.00
25 0.03* 0.24 0.40 0.12 0.46 8.75 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column