American Mathematics Competitions
2005 AMC 10 A Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 520
Number of unofficial participants: 0
Average score of participants: 74.4
Average score for female students is: 71.8 ( 240 Students)
Average score for male students is: 76.8 ( 256 Students)
Average score for unspecified gender is 75.0 ( 24 Students)
Average score for grade 10 is: 75.9 ( 243 Students)
Average score for grade 9 is: 72.9 ( 201 Students)
Average score for grade 8 and below is: 73.9 ( 71 Students)
Average score with unknown grade: 67.5 ( 5 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 6
Number of schools returning results 23
Average school winning score 102.37
American Mathematics Competitions
2005 AMC 12 A Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 705
Number of unofficial participants: 0
Average score of participants: 76.5
Average score for female students is: 71.6 ( 312 Students)
Average score for male students is: 80.9 ( 365 Students)
Average score for unspecified gender is 75.0 ( 28 Students)
Average score for grade 12 is: 78.0 ( 274 Students)
Average score for grade 11 is: 74.8 ( 363 Students)
Average score for grade 10 is: 83.7 ( 44 Students)
Average score for grade 9 is: 71.0 ( 16 Students)
Average score for grade 8 and below is: 108.8 ( 2 Students)
Average score with unknown grade: 69.4 ( 6 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 83
Number of schools returning results 26
Average school winning score 114.02
Average school team score 302.40
American Mathematics Competitions
2005 AMC 10 B Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 212
Number of unofficial participants: 0
Average score of participants: 78.6
Average score for female students is: 77.5 ( 102 Students)
Average score for male students is: 79.5 ( 101 Students)
Average score for unspecified gender is 79.9 ( 9 Students)
Average score for grade 10 is: 80.6 ( 71 Students)
Average score for grade 9 is: 74.0 ( 113 Students)
Average score for grade 8 and below is: 88.8 ( 21 Students)
Average score with unknown grade: 100.0 ( 7 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 6
Number of schools returning results 15
Average school winning score 101.87
American Mathematics Competitions
2005 AMC 12 B Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 283
Number of unofficial participants: 0
Average score of participants: 80.9
Average score for female students is: 77.6 ( 101 Students)
Average score for male students is: 83.2 ( 173 Students)
Average score for unspecified gender is 74.1 ( 9 Students)
Average score for grade 12 is: 84.8 ( 82 Students)
Average score for grade 11 is: 81.8 ( 115 Students)
Average score for grade 10 is: 71.6 ( 41 Students)
Average score for grade 9 is: 75.0 ( 29 Students)
Average score for grade 8 and below is: 89.4 ( 9 Students)
Average score with unknown grade: 88.9 ( 7 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 32
Number of schools returning results 16
Average school winning score 105.50
Average school team score 273.75
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
375.5 1 1
375.0 1 2
363.5 1 3
355.0 1 4
342.0 1 5
340.5 1 6
332.0 1 7
331.5 2 8
329.0 1 10
326.0 1 11
321.0 1 12
320.0 1 13
319.0 1 14
318.5 1 15
315.5 1 16
315.0 1 17
313.0 1 18
312.0 1 19
311.5 1 20
310.0 1 21
302.5 1 22
300.0 2 23
299.0 1 25
298.0 1 26
297.5 1 27
293.5 1 28
292.0 1 29
287.5 1 30
285.5 1 31
266.5 1 32
262.5 1 33
261.5 1 34
257.5 1 35
251.5 1 36
249.0 1 37
229.0 1 38
159.0 1 39
146.5 1 40
125.0 1 41
122.0 1 42
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
146.5 1
143.0 2 1
139.5 2
133.5 1
132.0 1
131.0 1 1
130.0 1
129.0 1
128.5 1
127.5 1
124.0 1 1 1
123.0 1
122.5 1
122.0 1 1
121.5 1
120.5 1
119.5 2
118.0 1
117.0 2
116.5 1
116.0 4 1 2
115.5 1
115.0 3 1 1
114.5 1
114.0 1
113.5 1 1
112.5 2 2 1
112.0 1 2
111.5 4
111.0 1 1 2 1
110.0 3 2
109.0 1 2
108.5 1 2 1
108.0 7 2 2
107.5 5 1
106.5 3 2
106.0 1 1
105.5 5 4 1
105.0 1 1 1 1
104.5 4 3 1
104.0 1 2 2 2
103.5 2
103.0 6 1 2 4
102.5 2
102.0 10 3 1 1
101.5 2 2
101.0 12 3 1 1
100.5 3 3 4
99.5 5 3 4
99.0 3 1
98.5 9 2 1 3
98.0 2 1 3 1
97.5 6 1 1
97.0 7 2 3
96.5 2
96.0 5 5 3 4
95.5 1 6 2
95.0 8 13 1
94.5 2 1 3 1
94.0 8 2 1
93.5 4 4 2 1
93.0 1 2 4 2
92.5 17 6 5 2
92.0 1 3
91.5 10 5 5 3
91.0 2 4 4
90.5 4 1 3 1
90.0 8 7 5 3
89.5 1 1
89.0 24 7 7 2
88.5 1 4 3
88.0 5 5 3
87.5 9 2 6 1
87.0 6 1 3
86.5 9 4 4 3
86.0 1 1 3
85.5 4 9 8 3
85.0 3 3 3 2
84.5 3 2 2 4
84.0 13 3 3 1
83.5 2 2 2 2
83.0 10 6 3 2
82.5 5 2 7 2
82.0 10 7 8 4
81.5 3 2 2 2
81.0 7 1 6 5
80.5 4 6 7 3
80.0 5 2 10 2
79.5 7 6 10 2
79.0 6 3 1 2
78.5 10 2 3 4
78.0 6 6 4 1
77.5 7 3 10
77.0 19 11 7 3
76.5 6 1 5 3
76.0 10 6 8 2
75.5 5 3 1 2
75.0 5 2 12 2
74.5 4 2 8 1
74.0 5 4 3 2
73.5 7 6 3
73.0 4 2 4
72.5 6 4 7 2
72.0 7 2 7 3
71.5 9 1 2
71.0 17 3 8 1
70.5 7 6 2
70.0 3 4 8 4
69.5 9 1 3 7
69.0 3 2 6 1
68.5 6 9 1
68.0 2 9 1
67.5 7 2 11 2
67.0 1 1 4
66.5 5 1 6
66.0 12 3 14 2
65.5 3 3 8 1
65.0 10 3 5 1
64.5 5 1 6 2
64.0 4 1 6 2
63.5 8 1 4
63.0 2 3 1 1
62.5 7 2 9
62.0 3 2 1
61.5 4 1 5 2
61.0 6 1 3
60.5 7 1 2 3
60.0 15 1 6 1
59.5 4 1 2 3
59.0 5 1 1
58.5 1 1 1 1
58.0 3 1 1
57.5 6 1
57.0 2 2 1
56.5 7 3 3
56.0 1 2 1
55.5 1 3
55.0 5 1 4
54.5 2 1 2
54.0 10 1 8 3
53.5 2 1 1 1
53.0 4 1 4
52.5 4 1 1 3
52.0 2 1 2
51.5 4 1 2
51.0 1 1
50.5 1 4 1
50.0 3
49.5 1 1
49.0 1 1 1
48.5 2 1
48.0 7 1 6 1
47.5 1 1 1
47.0 5 1 3
46.5 4 1
46.0 2 1 1 3
45.0 1
44.5 2 2 3
44.0 2 1
43.5 2
43.0 1 1
42.5 3 1
42.0 5 1 6 1
41.5 1
41.0 1 5 1
40.5 1 1 1
40.0 1 2
39.5 1
38.5 1
38.0 2
37.5 1 2
37.0 2 1
36.5 2 1 1
36.0 6 1 2 1
35.0 1
32.5 2 1
31.5 3
30.5 1
30.0 8 1 1 4
27.0 1
25.5 1
24.0 4
18.0 2 3 1
American Mathematics Competitions
2005 AMC 10 A Results for Colorado
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 4
149.0 124.0 1 99.0 3
148.5 123.5 98.5 1
148.0 123.0 98.0 3
147.5 122.5 1 97.5
147.0 122.0 97.0 2 1
146.5 121.5 96.5 2
146.0 121.0 96.0 2
145.5 120.5 1 95.5 4 1
145.0 120.0 95.0 1
144.5 119.5 1 1 94.5 1 2
144.0 119.0 94.0 1
143.5 118.5 93.5 2
143.0 118.0 93.0 1 3
142.5 117.5 92.5 3 2
142.0 117.0 1 1 92.0 2 1
141.5 116.5 1 91.5 2 3
141.0 116.0 2 91.0 2 2
140.5 115.5 90.5 2 1
140.0 115.0 90.0 4 1
139.5 114.5 89.5 1
139.0 114.0 89.0 3 4
138.5 113.5 88.5 3
138.0 113.0 88.0
137.5 112.5 2 87.5 5 1
137.0 112.0 1 87.0
136.5 111.5 86.5 4
136.0 111.0 1 1 86.0 1
135.5 110.5 85.5 3 5
135.0 110.0 2 85.0 2 1
134.5 109.5 84.5 2
134.0 109.0 84.0 1 1
133.5 108.5 83.5 2
133.0 108.0 83.0 2 1
132.5 107.5 2 3 82.5 3 4
132.0 107.0 82.0 4 4
131.5 106.5 1 1 81.5 2
131.0 1 106.0 1 81.0 4 2
130.5 105.5 1 80.5 3 4
130.0 105.0 80.0 4 5
129.5 104.5 79.5 3 6
129.0 104.0 2 79.0 1
128.5 103.5 2 78.5 2 1
128.0 103.0 1 1 78.0 2 1
127.5 1 102.5 77.5 7 3
127.0 102.0 1 77.0 3 4
126.5 101.5 2 76.5 2 2
126.0 101.0 1 76.0 1 5
125.5 100.5 3 1 75.5 1
American Mathematics Competitions
2005 AMC 10 A Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 5 7 50.0 1 2 25.0
74.5 3 4 49.5 24.5
74.0 1 2 49.0 1 24.0
73.5 2 4 48.5 23.5
73.0 2 2 48.0 5 23.0
72.5 1 5 47.5 1 22.5
72.0 4 3 47.0 2 22.0
71.5 2 46.5 1 21.5
71.0 4 4 46.0 1 21.0
70.5 1 4 45.5 20.5
70.0 3 4 45.0 20.0
69.5 2 1 44.5 1 1 19.5
69.0 1 5 44.0 1 19.0
68.5 3 6 43.5 2 18.5
68.0 4 5 43.0 18.0 1 2
67.5 4 7 42.5 1 17.5
67.0 4 42.0 5 1 17.0
66.5 3 3 41.5 1 16.5
66.0 8 6 41.0 3 2 16.0
65.5 4 4 40.5 1 15.5
65.0 3 2 40.0 15.0
64.5 3 2 39.5 14.5
64.0 5 1 39.0 14.0
63.5 2 2 38.5 13.5
63.0 1 38.0 13.0
62.5 3 5 37.5 2 12.5
62.0 2 37.0 1 12.0
61.5 3 2 36.5 1 11.5
61.0 2 36.0 1 1 11.0
60.5 1 1 35.5 10.5
60.0 3 3 35.0 10.0
59.5 2 34.5 9.5
59.0 1 34.0 9.0
58.5 1 33.5 8.5
58.0 1 33.0 8.0
57.5 1 32.5 2 7.5
57.0 1 32.0 7.0
56.5 2 1 31.5 1 2 6.5
56.0 1 31.0 6.0
55.5 1 2 30.5 5.5
55.0 3 1 30.0 1 5.0
54.5 2 29.5 4.5
54.0 6 2 29.0 4.0
53.5 28.5 3.5
53.0 4 28.0 3.0
52.5 1 27.5 2.5
52.0 1 1 27.0 1 2.0
51.5 1 1 26.5 1.5
51.0 1 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Colorado
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
133.5 1
131.0 1
127.5 1
124.0 1
122.5 1
120.5 1
119.5 2
117.0 2
116.5 1
116.0 1 1
112.5 1 1
112.0 1
111.0 2
110.0 1 1
107.5 2 3
106.5 1 1
106.0 1
105.5 1
105.0 1
104.0 1 1
103.5 1 1
103.0 1 1
102.0 1
101.5 1 1
101.0 1
100.5 2 2
99.5 2 2
99.0 2 1
98.5 1
98.0 3
97.0 1 2
96.5 1 1
96.0 2 1
95.5 1 5
95.0 1
94.5 1 2
94.0 1
93.5 2
93.0 1 3
92.5 1 1 3
92.0 1 2
91.5 3 2
91.0 1 3
90.5 3
90.0 3 2
89.5 1
89.0 1 1 5
88.5 1 2 1
87.5 2 4
86.5 1 2 1
86.0 1
85.5 1 3 4
85.0 2 1
84.5 1 1
84.0 1 2
83.5 1 1
83.0 1 2
82.5 1 6
82.0 1 4 3
81.5 1 1
81.0 1 4 1
80.5 1 2 3 1
80.0 2 1 2 5
79.5 1 1 4 4
79.0 1
78.5 1 1 1
78.0 1 3
77.5 1 2 7
77.0 1 1 3 2
76.5 1 2 2
76.0 2 6
75.5 1
75.0 1 1 5 5
74.5 2 2 4
74.0 2 1
73.5 3 3
73.0 4
72.5 4 2 1
72.0 1 5 1
71.5 1 1
71.0 1 1 1 5
70.5 3 3
70.0 1 2 5
69.5 1 2
69.0 1 4 1
68.5 1 6 2
68.0 1 1 6 1
67.5 2 6 3
67.0 3 1
66.5 1 2 3
66.0 1 8 5
65.5 1 2 5
65.0 1 4
64.5 1 3 1 1
64.0 2 4
63.5 1 1 2
63.0 1
62.5 2 6 1
62.0 1 1
61.5 2 1 2
61.0 2 1
60.5 2
60.0 1 2 3
59.5 1 1
59.0 1
58.5 1
58.0 1
57.5 1
57.0 1 1
56.5 1 2
56.0 1
55.5 1 2
55.0 2 2
54.5 1 1
54.0 1 1 3 3
53.5 1
53.0 3 1
52.5 1
52.0 2
51.5 2
51.0 1
50.0 2 1
49.5 1
49.0 1
48.0 1 3 2
47.5 1
47.0 1 2
46.5 1
46.0 1
44.5 1 1
44.0 1
43.5 1 1
42.5 1
42.0 4 2
41.5 1
41.0 2 2 1
40.5 1
37.5 1 1
37.0 1
36.5 1
36.0 2
32.5 1 1
31.5 3
30.0 1
27.0 1
18.0 1 2
American Mathematics Competitions
2005 AMC 10 A Results for Colorado
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 0.25 0.15 0.29 8.63* 0.46 0.21 0.00
2 0.27 0.13 6.42* 0.08 1.48 1.62 0.00
3 0.04 9.00* 0.37 0.27 0.17 0.15 0.00
4 0.50 2.17* 2.33 0.73 0.54 3.73 0.00
5 6.23* 0.46 3.17 0.02 0.04 0.08 0.00
6 0.33 5.15* 2.96 0.27 0.04 1.25 0.00
7 0.79 3.77* 0.31 0.42 0.90 3.81 0.00
8 1.19 0.35 4.67* 0.17 0.21 3.40 0.00
9 1.35 5.98* 0.90 0.25 0.17 1.35 0.00
10 2.00* 0.52 1.17 0.88 0.15 5.27 0.00
11 0.56 2.42* 0.46 0.71 0.21 5.63 0.00
12 0.44 1.46* 0.77 0.33 0.58 6.42 0.00
13 1.54 0.54 0.62 0.62 1.15* 5.52 0.02
14 0.67 0.77 0.38 0.50 2.81* 4.85 0.02
15 0.48 1.12 0.69 1.27 1.23* 5.21 0.00
16 0.85 0.56 0.69 2.08* 0.13 5.69 0.00
17 0.37 0.42 0.63 2.13* 0.40 6.04 0.00
18 1.77* 1.75 1.17 2.98 0.19 2.13 0.00
19 0.27 0.81 0.94 4.00* 0.54 3.42 0.02
20 0.67* 0.50 0.77 0.79 0.38 6.88 0.00
21 1.67 0.79* 0.33 0.29 0.81 6.12 0.00
22 0.85 0.54 0.44 2.21* 0.46 5.50 0.00
23 0.27 0.63 1.62* 1.00 0.67 5.81 0.00
24 0.92 1.29* 0.46 0.27 0.23 6.83 0.00
25 0.35 0.81 0.81 1.08* 0.08 6.88 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 Colorado
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 1 99.0
148.5 123.5 98.5 9
148.0 123.0 1 98.0 2
147.5 122.5 97.5 4 2
147.0 122.0 1 97.0 5 2
146.5 121.5 96.5
146.0 121.0 96.0 3 2
145.5 120.5 95.5 1
145.0 120.0 95.0 4 4
144.5 119.5 94.5 1 1
144.0 119.0 94.0 4 4
143.5 118.5 93.5 2 2
143.0 2 118.0 1 93.0 1
142.5 117.5 92.5 12 4
142.0 117.0 92.0
141.5 116.5 91.5 4 5
141.0 116.0 3 1 91.0 1 1
140.5 115.5 90.5 1 3
140.0 115.0 2 1 90.0 5 3
139.5 2 114.5 89.5 1
139.0 114.0 89.0 18 4
138.5 113.5 1 88.5 1
138.0 113.0 88.0 1 4
137.5 112.5 2 87.5 6 3
137.0 112.0 87.0 2 4
136.5 111.5 4 86.5 5 4
136.0 111.0 1 86.0 1
135.5 110.5 85.5 2 2
135.0 110.0 2 85.0 1 2
134.5 109.5 84.5 3
134.0 109.0 1 84.0 8 5
133.5 108.5 1 83.5 2
133.0 108.0 4 2 83.0 4 5
132.5 107.5 82.5 3
132.0 1 107.0 82.0 5 4
131.5 106.5 3 81.5 2 1
131.0 106.0 81.0 4 3
130.5 105.5 5 80.5 3 1
130.0 105.0 1 80.0 4 1
129.5 104.5 4 79.5 4 3
129.0 1 104.0 1 79.0 1 4
128.5 103.5 78.5 5 5
128.0 103.0 5 1 78.0 4 2
127.5 102.5 77.5 4 3
127.0 102.0 4 6 77.0 10 7
126.5 101.5 76.5 2 3
126.0 101.0 9 3 76.0 3 7
125.5 100.5 2 1 75.5 5
American Mathematics Competitions
2005 AMC 12 A Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 3 50.0 25.0
74.5 4 49.5 1 24.5
74.0 4 1 49.0 1 24.0 2 2
73.5 2 4 48.5 1 23.5
73.0 3 1 48.0 5 2 23.0
72.5 4 2 47.5 1 22.5
72.0 5 2 47.0 2 3 22.0
71.5 2 7 46.5 2 2 21.5
71.0 9 8 46.0 1 21.0
70.5 3 4 45.5 20.5
70.0 2 1 45.0 20.0
69.5 2 7 44.5 19.5
69.0 1 2 44.0 1 1 19.0
68.5 3 2 43.5 18.5
68.0 1 43.0 1 18.0 1
67.5 4 3 42.5 1 2 17.5
67.0 1 42.0 1 4 17.0
66.5 2 3 41.5 16.5
66.0 4 8 41.0 1 16.0
65.5 1 2 40.5 1 15.5
65.0 5 5 40.0 1 15.0
64.5 1 4 39.5 14.5
64.0 1 3 39.0 14.0
63.5 3 5 38.5 1 13.5
63.0 1 1 38.0 2 13.0
62.5 4 2 37.5 1 12.5
62.0 1 2 37.0 1 1 12.0
61.5 2 2 36.5 2 11.5
61.0 4 2 36.0 2 4 11.0
60.5 7 35.5 10.5
60.0 7 6 35.0 1 10.0
59.5 3 1 34.5 9.5
59.0 2 3 34.0 9.0
58.5 1 33.5 8.5
58.0 1 2 33.0 8.0
57.5 4 2 32.5 7.5
57.0 32.0 7.0
56.5 6 31.5 6.5
56.0 1 31.0 6.0
55.5 30.5 1 5.5
55.0 2 3 30.0 5 3 5.0
54.5 2 29.5 4.5
54.0 7 3 29.0 4.0
53.5 2 28.5 3.5
53.0 2 28.0 3.0
52.5 1 3 27.5 2.5
52.0 1 1 27.0 2.0
51.5 1 3 26.5 1.5
51.0 26.0 1.0
50.5 1 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Colorado
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
143.0 2
139.5 1 1
132.0 1
129.0 1
124.0 1
123.0 1
122.0 1
118.0 1
116.0 2 2
115.0 2 1
114.0 1
113.5 1
112.5 1 1
111.5 1 2 1
111.0 1
110.0 3
109.0 1
108.5 1
108.0 2 5
106.5 2 1
105.5 1 4
105.0 1
104.5 2 2
104.0 1
103.0 1 5
102.0 1 7 2
101.0 1 5 6
100.5 2 1
99.5 2 3
98.5 2 7
98.0 1 1
97.5 1 1 3 1
97.0 2 2 3
96.0 2 3
95.5 1
95.0 4 4
94.5 1 1
94.0 1 1 1 5
93.5 2 2
93.0 1
92.5 1 11 5
91.5 1 5 4
91.0 1 1
90.5 1 1 2
90.0 1 5 2
89.5 1
89.0 2 6 16
88.5 1
88.0 3 2
87.5 3 6
87.0 4 2
86.5 1 8
86.0 1
85.5 2 2
85.0 3
84.5 2 1
84.0 1 1 5 6
83.5 2
83.0 1 6 3
82.5 2 3
82.0 8 2
81.5 1 2
81.0 4 3
80.5 1 3
80.0 3 2
79.5 1 3 3
79.0 1 3 2
78.5 1 3 6
78.0 5 1
77.5 1 3 3
77.0 2 12 5
76.5 1 2 2 1
76.0 1 4 5
75.5 4 1
75.0 4 1
74.5 4
74.0 4 1
73.5 5 2
73.0 3 1
72.5 1 3 2
72.0 1 3 3
71.5 4 5
71.0 1 1 10 5
70.5 1 5 1
70.0 3
69.5 5 4
69.0 2 1
68.5 3 3
68.0 1 1
67.5 3 4
67.0 1
66.5 3 2
66.0 2 5 5
65.5 1 1 1
65.0 9 1
64.5 1 3 1
64.0 4
63.5 6 2
63.0 1 1
62.5 4 1 2
62.0 1 1 1
61.5 3 1
61.0 3 3
60.5 3 4
60.0 2 7 6
59.5 3 1
59.0 4 1
58.5 1
58.0 3
57.5 5 1
56.5 3 4
56.0 1
55.0 1 4
54.5 2
54.0 1 3 6
53.5 1 1
53.0 1 2 1
52.5 3 1
52.0 2
51.5 2 2
50.5 1
49.5 1
49.0 1
48.5 2
48.0 1 4 2
47.5 1
47.0 3 2
46.5 4
46.0 1 1
44.0 1 1
43.0 1
42.5 1 2
42.0 3 2
41.0 1
40.5 1
40.0 1
38.5 1
38.0 2
37.5 1
37.0 1 1
36.5 2
36.0 2 2 2
35.0 1
30.5 1
30.0 4 4
25.5 1
24.0 1 1 2
18.0 2
American Mathematics Competitions
2005 AMC 12 A Results for Colorado
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 0.03 0.06 0.16 9.43* 0.18 0.14 0.00
2 0.03 9.40* 0.20 0.21 0.04 0.11 0.00
3 0.34 4.61* 1.32 0.35 0.78 2.60 0.00
4 6.40* 0.44 2.94 0.09 0.03 0.11 0.00
5 0.27 6.62* 2.21 0.10 0.07 0.72 0.00
6 0.70 5.13* 0.27 0.52 0.87 2.51 0.00
7 0.88 0.35 6.91* 0.17 0.16 1.53 0.00
8 0.43 0.64 0.57 2.01* 0.37 5.99 0.00
9 4.06* 0.65 1.05 0.47 0.11 3.66 0.00
10 0.51 3.32* 0.21 0.77 0.21 4.98 0.00
11 1.16 0.54 0.43 0.54 3.18* 4.16 0.00
12 1.01 0.45 0.26 3.59* 1.55 3.15 0.00
13 0.21 0.43 0.68 2.95* 0.51 5.22 0.00
14 0.48 0.57 3.13 1.59* 0.43 3.79 0.01
15 0.28 0.43 1.91* 0.91 0.98 5.49 0.00
16 0.28 0.50 0.95 0.92* 0.50 6.85 0.00
17 2.26* 1.16 1.62 0.40 0.43 4.14 0.00
18 0.50* 0.61 0.44 0.48 0.30 7.67 0.00
19 0.94 2.28* 0.98 0.44 0.92 4.44 0.00
20 0.38 0.47 0.38 0.31 0.34* 8.11 0.00
21 0.74 0.68 0.62* 0.37 0.09 7.50 0.00
22 0.55 0.61* 0.35 0.48 0.38 7.62 0.00
23 0.78 0.64* 0.43 0.37 0.61 7.16 0.01
24 0.26 0.18* 0.50 0.31 0.18 8.57 0.00
25 0.47 0.48 0.43* 0.21 0.26 8.16 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 Colorado
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
149.0 124.0 1 99.0 1
148.5 123.5 98.5 3
148.0 123.0 98.0 1
147.5 122.5 97.5 1
147.0 122.0 97.0
146.5 121.5 1 96.5
146.0 121.0 96.0 4
145.5 120.5 95.5 1 1
145.0 120.0 95.0
144.5 119.5 94.5 1
144.0 119.0 94.0
143.5 118.5 93.5 1
143.0 1 118.0 93.0 2
142.5 117.5 92.5 1
142.0 117.0 92.0
141.5 116.5 91.5 2 1
141.0 116.0 91.0
140.5 115.5 90.5 1
140.0 115.0 90.0 3
139.5 114.5 1 89.5
139.0 114.0 89.0 2
138.5 113.5 1 88.5 2 1
138.0 113.0 88.0 2 1
137.5 112.5 1 87.5 1
137.0 112.0 2 87.0 2 1
136.5 111.5 86.5 2 1
136.0 111.0 1 86.0 2
135.5 110.5 85.5 1 2
135.0 110.0 85.0 1 1
134.5 109.5 84.5 3
134.0 109.0 84.0 1
133.5 108.5 1 83.5 1 1
133.0 108.0 1 1 83.0 1 1
132.5 107.5 1 82.5 1
132.0 107.0 82.0 1 3
131.5 106.5 81.5 2
131.0 1 106.0 1 81.0 2 3
130.5 105.5 80.5 1 1
130.0 1 105.0 1 80.0 1 1
129.5 104.5 1 79.5 2
129.0 104.0 1 1 79.0 1 1
128.5 1 103.5 78.5 3 1
128.0 103.0 2 2 78.0 1
127.5 102.5 1 1 77.5
127.0 102.0 1 77.0 3
126.5 101.5 2 76.5 3
126.0 101.0 1 76.0 1
125.5 100.5 75.5 1 1
American Mathematics Competitions
2005 AMC 10 B Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 1 50.0 25.0
74.5 1 49.5 24.5
74.0 1 1 49.0 1 24.0
73.5 1 2 48.5 1 23.5
73.0 48.0 1 23.0
72.5 1 1 47.5 22.5
72.0 3 47.0 22.0
71.5 46.5 21.5
71.0 1 46.0 2 21.0
70.5 1 1 45.5 20.5
70.0 1 3 45.0 1 20.0
69.5 2 5 44.5 2 1 19.5
69.0 1 44.0 19.0
68.5 1 43.5 18.5
68.0 1 43.0 18.0 1
67.5 2 42.5 17.5
67.0 42.0 1 17.0
66.5 41.5 16.5
66.0 2 41.0 1 16.0
65.5 1 40.5 1 15.5
65.0 1 40.0 15.0
64.5 1 1 39.5 1 14.5
64.0 2 39.0 14.0
63.5 38.5 13.5
63.0 1 38.0 13.0
62.5 37.5 12.5
62.0 1 37.0 12.0
61.5 2 36.5 11.5
61.0 36.0 1 11.0
60.5 2 1 35.5 10.5
60.0 1 35.0 10.0
59.5 1 2 34.5 9.5
59.0 34.0 9.0
58.5 1 33.5 8.5
58.0 1 33.0 8.0
57.5 32.5 1 7.5
57.0 1 32.0 7.0
56.5 2 31.5 6.5
56.0 31.0 6.0
55.5 30.5 5.5
55.0 30.0 3 1 5.0
54.5 29.5 4.5
54.0 1 2 29.0 4.0
53.5 1 28.5 3.5
53.0 28.0 3.0
52.5 2 1 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Colorado
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
143.0 1
131.0 1
130.0 1
128.5 1
124.0 1
121.5 1
115.0 1
114.5 1
113.5 1
112.5 1
112.0 1 1
111.0 1
108.5 1
108.0 1 1
107.5 1
106.0 1
105.0 1
104.5 1
104.0 2
103.0 2 2
102.5 2
102.0 1
101.5 1 1
101.0 1
99.0 1
98.5 2 1
98.0 1
97.5 1
96.0 1 2 1
95.5 1 1
94.5 1
93.5 1
93.0 1 1
92.5 2
91.5 1 1 1
90.5 1
90.0 3
89.0 2
88.5 2 1
88.0 2 1
87.5 1
87.0 1 1 1
86.5 2 1
86.0 3
85.5 1 1 1
85.0 2
84.5 1 2 1
84.0 1
83.5 2
83.0 1 1
82.5 1 1
82.0 1 2 1
81.5 2
81.0 5
80.5 1 2
80.0 1 1
79.5 1 1
79.0 2
78.5 2 2
78.0 1
77.0 2 1
76.5 1 2
76.0 1 1
75.5 1 1
75.0 1 1
74.5 1
74.0 1 1
73.5 1 2
72.5 1 1
72.0 1 2
71.0 1
70.5 1 1
70.0 1 2 1
69.5 2 5
69.0 1
68.5 1
68.0 1
67.5 2
66.0 2
65.5 1
65.0 1
64.5 2
64.0 2
63.0 1
62.0 1
61.5 1 1
60.5 1 2
60.0 1
59.5 1 2
58.5 1
58.0 1
57.0 1
56.5 2 1
54.0 2 1
53.5 1
52.5 3
50.5 1
49.0 1
48.5 1
48.0 1
46.0 2 1
45.0 1
44.5 2 1
42.0 1
41.0 1
40.5 1
39.5 1
36.0 1
32.5 1
30.0 4
18.0 1
American Mathematics Competitions
2005 AMC 10 B Results for Colorado
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 8.11* 0.57 0.33 0.24 0.61 0.14 0.00
2 0.28 0.38 0.09 7.88* 0.33 1.04 0.00
3 0.05 1.04 1.70 6.18* 0.80 0.24 0.00
4 0.66 0.09 0.71 4.25* 0.19 4.10 0.00
5 0.14 0.05 8.58* 0.24 0.61 0.38 0.00
6 0.24 8.58* 0.19 0.19 0.19 0.61 0.00
7 0.94 2.22* 0.52 0.99 0.94 4.39 0.00
8 6.93* 0.14 0.94 0.09 0.14 1.75 0.00
9 0.52 0.61 1.56 5.75* 0.71 0.85 0.00
10 1.98* 1.32 0.90 0.33 0.61 4.86 0.00
11 0.19 0.24 0.28 1.93 2.26* 5.09 0.00
12 0.33 1.37 0.75 0.24 0.75* 6.56 0.00
13 0.66 0.71 1.65* 2.08 0.75 4.15 0.00
14 0.33 0.47 2.69* 1.93 0.61 3.96 0.00
15 1.42 0.57 0.94 4.53* 0.42 2.12 0.00
16 0.33 0.90 0.94 0.47* 0.00 7.36 0.00
17 0.38 3.49* 1.23 0.42 0.28 4.20 0.00
18 0.42 4.10 0.85 2.36* 1.04 1.23 0.00
19 0.38 5.66* 0.19 0.61 0.61 2.55 0.00
20 1.08 0.24 1.32* 0.52 0.19 6.65 0.00
21 0.57* 0.38 0.47 0.57 0.38 7.64 0.00
22 0.99 1.27 0.66* 0.28 0.00 6.79 0.00
23 2.36 0.85 0.42* 0.33 0.52 5.47 0.05
24 0.57 0.71 0.24 0.52 1.27* 6.70 0.00
25 0.57 0.38 3.02* 0.19 0.28 5.57 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 Colorado
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 2 1
149.0 124.0 99.0
148.5 123.5 98.5 2
148.0 123.0 98.0 1
147.5 122.5 97.5 1
147.0 122.0 1 97.0 2
146.5 1 121.5 96.5
146.0 121.0 96.0 3 2
145.5 120.5 95.5
145.0 120.0 95.0 10 2
144.5 119.5 94.5 1
144.0 119.0 94.0 1 1
143.5 118.5 93.5 3 1
143.0 118.0 93.0 1 1
142.5 117.5 92.5 4 2
142.0 117.0 92.0 1
141.5 116.5 91.5 4 1
141.0 116.0 1 91.0 2 2
140.5 115.5 1 90.5 1
140.0 115.0 1 90.0 6 1
139.5 114.5 89.5
139.0 114.0 89.0 5 2
138.5 113.5 88.5
138.0 113.0 88.0 4 1
137.5 112.5 87.5 1 1
137.0 112.0 87.0 1
136.5 111.5 86.5 2 2
136.0 111.0 1 86.0
135.5 110.5 85.5 3 6
135.0 110.0 85.0 2 1
134.5 109.5 84.5 2
134.0 109.0 1 1 84.0 3
133.5 108.5 2 83.5 1 1
133.0 108.0 2 83.0 4 1
132.5 107.5 82.5 1 1
132.0 107.0 82.0 4 2
131.5 106.5 81.5 2
131.0 106.0 81.0 1
130.5 105.5 3 80.5 4 2
130.0 105.0 1 80.0 1 1
129.5 104.5 2 1 79.5 3 3
129.0 104.0 2 79.0 1 2
128.5 103.5 78.5 2
128.0 103.0 1 78.0 4 2
127.5 102.5 77.5 3
127.0 102.0 1 2 77.0 6 5
126.5 101.5 76.5 1
126.0 101.0 3 76.0 3 3
125.5 100.5 2 1 75.5 2 1
American Mathematics Competitions
2005 AMC 12 B Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 1 50.0 25.0
74.5 1 49.5 24.5
74.0 3 1 49.0 24.0
73.5 48.5 23.5
73.0 1 1 48.0 1 23.0
72.5 3 1 47.5 1 22.5
72.0 1 1 47.0 1 22.0
71.5 1 46.5 21.5
71.0 1 2 46.0 1 21.0
70.5 45.5 20.5
70.0 2 2 45.0 20.0
69.5 1 44.5 2 19.5
69.0 2 44.0 19.0
68.5 43.5 18.5
68.0 43.0 1 18.0
67.5 1 42.5 17.5
67.0 1 42.0 1 17.0
66.5 1 41.5 16.5
66.0 3 41.0 16.0
65.5 1 1 40.5 15.5
65.0 1 2 40.0 1 1 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 2 1 38.0 13.0
62.5 1 1 37.5 12.5
62.0 37.0 12.0
61.5 1 36.5 11.5
61.0 1 36.0 1 11.0
60.5 1 35.5 10.5
60.0 1 35.0 10.0
59.5 1 34.5 9.5
59.0 1 34.0 9.0
58.5 1 33.5 8.5
58.0 33.0 8.0
57.5 32.5 7.5
57.0 1 32.0 7.0
56.5 31.5 6.5
56.0 2 31.0 6.0
55.5 1 30.5 5.5
55.0 1 30.0 1 5.0
54.5 1 29.5 4.5
54.0 1 29.0 4.0
53.5 1 28.5 3.5
53.0 1 28.0 3.0
52.5 1 27.5 2.5
52.0 1 27.0 2.0
51.5 1 26.5 1.5
51.0 1 26.0 1.0
50.5 2 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Colorado
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
146.5 1
122.0 1
116.0 1
115.5 1
115.0 1
111.0 1
109.0 2
108.5 2
108.0 1 1
105.5 1 2 1
105.0 1
104.5 1 2
104.0 1 1
103.0 1
102.0 2 1
101.0 2 1
100.5 3
99.5 2 1
98.5 1 1
98.0 1
97.5 1
97.0 2
96.0 1 4
95.0 1 5 5 2
94.5 1
94.0 1 1
93.5 1 2 1
93.0 1 1
92.5 1 4 1
92.0 1
91.5 1 1 3
91.0 1 3
90.5 1
90.0 1 2 4
89.0 1 2 4
88.0 1 1 1 2
87.5 1 1
87.0 1
86.5 4
85.5 1 1 1 1 5
85.0 1 2
84.5 2
84.0 1 1 1
83.5 2
83.0 2 1 3
82.5 2
82.0 2 4 1
81.5 2
81.0 1
80.5 1 1 1 3
80.0 1 1
79.5 1 3 2
79.0 2 1
78.5 1 1
78.0 1 1 3 1
77.5 1 2
77.0 2 7 2
76.5 1
76.0 5 1
75.5 1 1 1
75.0 1 1
74.5 1 1
74.0 2 1 1
73.0 2
72.5 1 3
72.0 1 1
71.5 1
71.0 1 2
70.0 1 2 1
69.5 1
69.0 2
67.5 2
67.0 1
66.5 1
66.0 3
65.5 2 1
65.0 2 1
64.5 1
64.0 1
63.5 1
63.0 2 1
62.5 2
61.5 1
61.0 1
60.5 1
60.0 1
59.5 1
59.0 1
58.5 1
57.0 1 1
56.0 1 1
55.5 1
55.0 1
54.5 1
54.0 1
53.5 1
53.0 1
52.5 1
52.0 1
51.5 1
51.0 1
50.5 2 2
48.0 1
47.5 1
47.0 1
46.0 1
44.5 1 1
43.0 1
42.0 1
40.0 1 1
36.5 1
36.0 1
30.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Colorado
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 8.80* 0.25 0.21 0.21 0.46 0.07 0.00
2 0.07 0.07 0.14 9.01* 0.14 0.57 0.00
3 0.04 0.07 9.26* 0.14 0.32 0.18 0.00
4 0.07 8.87* 0.11 0.18 0.32 0.46 0.00
5 7.81* 0.21 0.81 0.07 0.00 1.10 0.00
6 2.54* 0.99 0.39 0.32 0.21 5.55 0.00
7 1.31 1.48 0.21 2.19* 0.39 4.42 0.00
8 1.17 1.63 4.52* 0.00 0.88 1.80 0.00
9 0.35 7.74* 0.42 0.42 0.21 0.85 0.00
10 0.18 0.81 0.18 1.77 3.57* 3.50 0.00
11 1.10 0.92 0.99 4.20* 0.42 2.37 0.00
12 0.25 0.81 1.13 0.81* 0.07 6.93 0.00
13 0.25 0.46 0.32 1.52* 0.18 7.28 0.00
14 0.67 1.48 0.67 0.32 0.85* 6.01 0.00
15 0.57 0.18 0.46 4.91* 0.57 3.32 0.00
16 0.18 0.21 1.13 0.74* 0.28 7.46 0.00
17 0.46 0.42* 0.32 0.18 1.24 7.39 0.00
18 1.55 0.53 0.60* 0.28 0.39 6.64 0.00
19 0.39 0.32 0.32 0.42 1.94* 6.61 0.00
20 0.28 0.53 3.85* 0.57 1.87 2.90 0.00
21 0.18 0.25 0.53* 0.46 0.18 8.41 0.00
22 0.53 0.81 0.18 0.35 0.14* 7.99 0.00
23 0.07 0.18* 0.28 0.11 0.07 9.29 0.00
24 0.39* 0.18 0.46 0.35 0.25 8.37 0.00
25 0.35* 0.35 0.35 0.35 0.28 8.30 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column