American Mathematics Competitions
2006 AMC 10 A Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 475
Number of unofficial participants: 0
Average score of participants: 78.9
Average score for female students is: 73.7 ( 186 Students)
Average score for male students is: 82.6 ( 258 Students)
Average score for unspecified gender is 79.3 ( 31 Students)
Average score for grade 10 is: 80.0 ( 250 Students)
Average score for grade 9 is: 76.1 ( 179 Students)
Average score for grade 8 and below is: 86.2 ( 34 Students)
Average score with unknown grade: 76.0 ( 12 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 13
Number of schools returning results 30
Average school winning score 107.60
American Mathematics Competitions
2006 AMC 12 A Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 583
Number of unofficial participants: 0
Average score of participants: 85.0
Average score for female students is: 81.0 ( 221 Students)
Average score for male students is: 88.1 ( 337 Students)
Average score for unspecified gender is 78.4 ( 25 Students)
Average score for grade 12 is: 87.5 ( 200 Students)
Average score for grade 11 is: 84.5 ( 288 Students)
Average score for grade 10 is: 91.8 ( 37 Students)
Average score for grade 9 is: 74.5 ( 52 Students)
Average score with unknown grade: 75.7 ( 6 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 126
Number of schools returning results 32
Average school winning score 109.61
Average school team score 286.83
American Mathematics Competitions
2006 AMC 10 B Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 237
Number of unofficial participants: 0
Average score of participants: 64.9
Average score for female students is: 60.6 ( 98 Students)
Average score for male students is: 71.2 ( 102 Students)
Average score for unspecified gender is 58.6 ( 37 Students)
Average score for grade 10 is: 64.9 ( 114 Students)
Average score for grade 9 is: 66.2 ( 80 Students)
Average score for grade 8 and below is: 69.9 ( 18 Students)
Average score with unknown grade: 56.4 ( 25 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 6
Number of schools returning results 14
Average school winning score 110.64
American Mathematics Competitions
2006 AMC 12 B Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 549
Number of unofficial participants: 0
Average score of participants: 72.8
Average score for female students is: 68.7 ( 242 Students)
Average score for male students is: 76.2 ( 280 Students)
Average score for unspecified gender is 73.8 ( 27 Students)
Average score for grade 12 is: 74.6 ( 200 Students)
Average score for grade 11 is: 69.6 ( 308 Students)
Average score for grade 10 is: 86.8 ( 26 Students)
Average score for grade 9 is: 97.2 ( 12 Students)
Average score with unknown grade: 55.2 ( 3 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 58
Number of schools returning results 19
Average school winning score 112.71
Average school team score 279.95
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
389.0 1 1
372.5 1 2
365.5 1 3
362.5 1 4
362.0 1 1 5
360.5 1 7
356.0 1 8
350.5 1 9
349.0 1 10
343.0 1 11
341.0 1 12
340.0 1 13
334.0 1 14
331.5 1 15
330.5 1 16
328.5 1 17
327.0 1 18
323.5 1 19
322.5 1 20
320.5 1 21
320.0 2 22
318.0 1 24
311.0 1 25
308.5 1 26
304.5 1 27
301.5 1 28
300.0 2 29
297.0 1 31
294.5 1 32
292.5 1 33
280.0 1 34
267.0 1 35
263.0 1 36
258.5 1 37
243.0 1 38
239.0 1 39
235.0 1 40
231.0 1 41
215.0 1 42
214.5 1 43
205.0 1 44
172.0 1 45
160.5 1 46
151.0 1 47
122.0 1 1 48
120.5 1 50
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 2
140.5 1
139.5 1
138.0 2
136.0 1
133.5 1 1
132.5 1 1
132.0 1
131.0 1
126.5 1 1
125.5 1 1 1
124.0 1
123.0 2 1 2 1
122.5 1
122.0 4 1
121.5 1
120.5 2 2 1 1
119.5 5 1
119.0 1
118.5 9
118.0 1
117.0 2 1 2
116.5 1
116.0 5 4 1
115.0 2 1
114.5 1 1 1
113.5 2 3 2 2
113.0 1 1
112.5 6 2 1
112.0 1 2
111.5 2 2
111.0 1
110.5 1
110.0 4 2 2 2
109.5 1 2
109.0 6 1 3
108.5 3
108.0 4 2 1
107.5 2 3
107.0 1
106.5 8 2
106.0 1 2
105.5 9 6
105.0 4 1
104.5 5 2
104.0 8 5 1
103.0 7 2 1
102.0 4 6 1
101.5 3 3
101.0 6 5 2
100.5 13 3 5
100.0 1 1
99.5 7 4 3 2
99.0 1 1 2
98.5 4 6 3
98.0 6 1 7 2
97.5 2 2 2 1
97.0 11 5 1
96.5 4 7 1
96.0 6 7 5
95.5 5 3
95.0 10 9 3 1
94.5 9 2
94.0 1 2
93.5 6 5 6 2
93.0 4 1 1
92.5 8 1 4 1
92.0 5 5
91.5 2 4 3 3
91.0 5 3
90.5 1 1 7 1
90.0 11 6 7
89.5 2 2 3
89.0 13 8 4 1
88.5 11 2 4
88.0 3 2 2
87.5 10 3 4
87.0 1 2 7
86.5 11 9 3 2
86.0 4 2 9 1
85.5 5 5 1 2
85.0 11 5 6 3
84.5 2 1
84.0 17 5 4 1
83.5 6 1 3 1
83.0 8 8 2
82.5 6 4 4 2
82.0 2 6 6 1
81.5 6 3 6 3
81.0 3 6 5
80.5 11 5 4 2
80.0 3 7 7 1
79.5 4 2 6
79.0 5 1 4 1
78.5 2 9 2 3
78.0 9 17 3 1
77.5 2 4 6
77.0 9 9 6
76.5 5 1 4 1
76.0 3 6 5 1
75.5 9 7 1 3
75.0 7 5 8
74.5 4 10 5 2
74.0 2 1 7 2
73.5 4 9 4
73.0 10 2 3 2
72.5 3 4 1 1
72.0 9 11 4 5
71.5 4 2 5
71.0 3 8 6 2
70.5 1 4 5 3
70.0 7 4 4 1
69.5 7 2 4 1
69.0 2 2 5
68.5 6 9 3 5
68.0 4 2 3 2
67.5 4 5 4 2
67.0 5 5 4 3
66.5 3 1 1 2
66.0 5 12 9 2
65.5 3 3 3
65.0 1 1 2 2
64.5 4 2 2 4
64.0 3 5 6 3
63.5 3 2 7 3
63.0 3 4 2 3
62.5 5 7 3 5
62.0 2 5 3
61.5 2 7 7 2
61.0 5 3 3
60.5 5 1 3
60.0 2 13 10 3
59.5 5 3 5 4
59.0 2 4 3 2
58.5 1 2 1 2
58.0 2 4 1 2
57.5 1 2 2
57.0 1 2 1
56.5 4 4 2 3
56.0 2 4 2 4
55.5 1 4 2 1
55.0 3 1 1 2
54.5 3 2
54.0 4 19 8 3
53.5 3 3 2 3
53.0 1 2 1
52.5 1 4 2
52.0 1 5 2 1
51.5 2 1 2
51.0 2 2 2
50.5 1 6 3
50.0 1 2 2
49.5 2 1 3
49.0 1 2 1
48.5 1 3 1
48.0 5 12 8 6
47.5 2 2 1
47.0 1 1 2
46.5 1 2
46.0 1 1
45.5 1 1
45.0 1 4 1
44.5 3 1
44.0 1 1 2
43.5 2 3 4
43.0 1 2
42.5 1 1
42.0 1 10 4 5
41.5 1 2 1 1
41.0 1 1 1
40.5 1
40.0 2
39.5 3
39.0 1 2
38.5 2
38.0 1 3
37.5 3
37.0 1 1
36.5 1 2
36.0 1 12 3 9
34.5 1 1 1
33.0 1 1
32.5 1 1
32.0 1
30.5 1
30.0 1 3 2
29.0 1
28.0 1
27.5 1
27.0 1
26.0 1
25.5 1
24.0 3
18.0 1
12.0 1
American Mathematics Competitions
2006 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 1
149.5 124.5 99.5 1 2
149.0 124.0 99.0 2
148.5 123.5 98.5 1 2
148.0 123.0 1 1 98.0 3 3
147.5 122.5 97.5 2
147.0 122.0 97.0 3 1
146.5 121.5 1 96.5 5 2
146.0 121.0 96.0 3 2
145.5 120.5 1 95.5 3
145.0 120.0 95.0 1 2
144.5 119.5 1 94.5
144.0 119.0 1 94.0 1 1
143.5 118.5 93.5 3 3
143.0 118.0 93.0 1
142.5 117.5 92.5 3
142.0 117.0 1 1 92.0 3 2
141.5 116.5 1 91.5 3
141.0 116.0 1 91.0 1 2
140.5 115.5 90.5 2 3
140.0 115.0 90.0 3 4
139.5 114.5 1 89.5 2 1
139.0 114.0 89.0 3 1
138.5 113.5 2 88.5 3 1
138.0 2 113.0 1 88.0 1 1
137.5 112.5 1 87.5 2 2
137.0 112.0 2 87.0 4 2
136.5 111.5 86.5 2 1
136.0 111.0 86.0 6 3
135.5 110.5 1 85.5 1
135.0 110.0 2 85.0 5 1
134.5 109.5 1 84.5 1
134.0 109.0 3 84.0 1 2
133.5 1 108.5 2 83.5 1 2
133.0 108.0 1 83.0 1 1
132.5 1 107.5 2 82.5 2 1
132.0 1 107.0 1 82.0 5 1
131.5 106.5 81.5 3 3
131.0 1 106.0 2 81.0 1 3
130.5 105.5 80.5 3 1
130.0 105.0 80.0 2 4
129.5 104.5 2 79.5 3 3
129.0 104.0 4 1 79.0 1 3
128.5 103.5 78.5 2
128.0 103.0 1 78.0 2 1
127.5 102.5 77.5 3 3
127.0 102.0 77.0 3 3
126.5 1 101.5 3 76.5 1 3
126.0 101.0 2 76.0 2 3
125.5 1 100.5 2 2 75.5 1
American Mathematics Competitions
2006 AMC 10 A Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 3 50.0 2 25.0
74.5 2 2 49.5 1 24.5
74.0 7 49.0 2 24.0
73.5 2 2 48.5 3 23.5
73.0 3 48.0 3 4 23.0
72.5 1 47.5 1 22.5
72.0 2 1 47.0 1 22.0
71.5 3 2 46.5 21.5
71.0 2 2 46.0 1 21.0
70.5 3 2 45.5 1 20.5
70.0 3 1 45.0 1 20.0
69.5 1 3 44.5 19.5
69.0 4 1 44.0 1 19.0
68.5 3 43.5 2 1 18.5
68.0 2 1 43.0 18.0
67.5 2 2 42.5 1 17.5
67.0 1 3 42.0 2 2 17.0
66.5 1 41.5 1 16.5
66.0 5 4 41.0 16.0
65.5 3 40.5 1 15.5
65.0 2 40.0 15.0
64.5 2 39.5 14.5
64.0 2 2 39.0 14.0
63.5 3 3 38.5 13.5
63.0 1 1 38.0 13.0
62.5 1 2 37.5 12.5
62.0 2 1 37.0 12.0 1
61.5 4 3 36.5 11.5
61.0 3 36.0 2 11.0
60.5 1 35.5 10.5
60.0 3 6 35.0 10.0
59.5 2 2 34.5 1 9.5
59.0 3 34.0 9.0
58.5 1 33.5 8.5
58.0 33.0 1 8.0
57.5 32.5 7.5
57.0 1 1 32.0 7.0
56.5 2 31.5 6.5
56.0 1 1 31.0 6.0
55.5 1 1 30.5 5.5
55.0 1 30.0 5.0
54.5 29.5 4.5
54.0 3 4 29.0 4.0
53.5 2 28.5 3.5
53.0 2 28.0 3.0
52.5 2 1 27.5 2.5
52.0 1 1 27.0 2.0
51.5 26.5 1.5
51.0 2 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Colorado
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
138.0 1 1
133.5 1
132.5 1
132.0 1
131.0 1
126.5 1
125.5 1
123.0 1 1
122.5 1
121.5 1
120.5 1
119.5 1
119.0 1
117.0 1 1
116.5 1
116.0 1
114.5 1
113.5 2
113.0 1
112.5 1
112.0 2
110.5 1
110.0 2
109.5 1 1
109.0 2 1
108.5 1 2
108.0 1
107.5 1 2
107.0 1
106.0 1 1
105.0 1
104.5 1 1
104.0 3 2
103.0 1
101.5 2 1
101.0 1 1
100.5 1 4
100.0 1
99.5 1 2
99.0 2
98.5 1 2
98.0 1 6
97.5 1 1
97.0 1 3 1
96.5 4 3
96.0 1 4
95.5 1 2
95.0 2 1
94.0 1 1
93.5 2 4
93.0 1
92.5 1 2 1
92.0 3 2
91.5 1 2
91.0 1 2
90.5 2 4 1
90.0 4 3
89.5 2 1
89.0 1 1 2
88.5 1 1 2
88.0 1 1
87.5 1 3
87.0 3 4
86.5 3
86.0 2 7
85.5 1
85.0 2 4
84.5 1
84.0 2 1 1
83.5 2 1
83.0 2
82.5 2 2
82.0 2 4
81.5 1 2 3
81.0 1 2 2
80.5 3 1
80.0 2 5
79.5 1 3 2
79.0 4
78.5 2
78.0 1 1 1
77.5 1 2 3
77.0 1 4 1
76.5 1 1 2
76.0 1 4
75.5 1
75.0 3 5
74.5 3 2
74.0 3 4
73.5 1 3
73.0 2 1
72.5 1
72.0 1 1 1 1
71.5 1 4
71.0 1 1 4
70.5 3 2
70.0 1 3
69.5 1 2 1
69.0 1 1 3
68.5 1 2
68.0 3
67.5 2 2
67.0 2 2
66.5 1
66.0 1 1 2 5
65.5 2 1
65.0 1 1
64.5 2
64.0 2 3 1
63.5 3 4
63.0 1 1
62.5 1 1 1
62.0 1 2
61.5 3 4
61.0 2 1
60.5 1
60.0 1 5 4
59.5 2 2 1
59.0 2 1
58.5 1
58.0 1
57.0 2
56.5 2
56.0 2
55.5 2
55.0 1
54.0 3 4 1
53.5 1 1
53.0 1 1
52.5 2 2
52.0 2
51.0 2
50.0 1 1
49.5 1
49.0 2
48.5 3
48.0 5 2 1
47.5 1
47.0 1
46.0 1
45.5 1
45.0 1
44.0 1
43.5 1 2
42.5 1
42.0 2 2
41.5 1
40.5 1
36.0 1 1 1
34.5 1
33.0 1
12.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Colorado
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.87* 0.02 0.08 0.00 0.02 0.00 0.00
2 1.64 0.32 2.80* 0.11 2.06 3.07 0.00
3 0.04 8.42* 0.17 0.02 1.31 0.04 0.00
4 2.32 0.19 0.04 0.21 6.78* 0.46 0.00
5 0.25 0.95 1.14 7.18* 0.17 0.32 0.00
6 0.32 8.82* 0.21 0.08 0.04 0.53 0.00
7 7.64* 0.08 0.44 0.21 0.40 1.20 0.02
8 1.54 0.44 0.42 0.08 3.39* 4.13 0.00
9 1.64 1.49 5.87* 0.34 0.29 0.34 0.02
10 0.51 0.21 0.80 3.20 1.45* 3.81 0.02
11 1.81 1.75 1.89* 1.39 0.80 2.36 0.00
12 0.72 0.38 5.94* 0.93 0.42 1.60 0.02
13 0.36 1.01 0.36 6.19* 0.21 1.87 0.00
14 1.71 4.34* 0.32 0.93 0.84 1.85 0.02
15 1.07 0.40 0.59 2.06* 0.53 5.33 0.02
16 0.36 0.46 0.61 0.51* 0.63 7.41 0.02
17 2.57* 0.61 0.25 0.48 0.23 5.83 0.02
18 2.25 0.13 3.54* 0.44 0.11 3.52 0.02
19 0.55 2.27 0.91* 0.55 0.44 5.26 0.02
20 0.57 1.35 0.53 0.55 0.69* 6.29 0.02
21 0.95 0.93 0.42 0.61 1.24* 5.83 0.02
22 0.17 1.03 3.71* 3.37 0.76 0.95 0.02
23 0.69 2.27* 0.27 0.36 0.61 5.77 0.02
24 1.16 0.59* 0.48 0.46 0.65 6.63 0.02
25 2.42 0.78 0.57* 0.57 0.42 5.22 0.02
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2006 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 1
149.5 124.5 99.5 7
149.0 124.0 1 99.0 1
148.5 123.5 98.5 3 1
148.0 123.0 2 98.0 4 2
147.5 122.5 97.5 1 1
147.0 122.0 3 1 97.0 7 4
146.5 121.5 96.5 3
146.0 121.0 96.0 3 3
145.5 120.5 1 1 95.5 2 3
145.0 120.0 95.0 5 5
144.5 119.5 4 94.5 6 3
144.0 119.0 94.0
143.5 118.5 8 1 93.5 3 3
143.0 118.0 93.0 2 2
142.5 117.5 92.5 5 3
142.0 117.0 2 92.0 3 2
141.5 116.5 91.5 1 1
141.0 116.0 4 1 91.0 1 4
140.5 115.5 90.5 1
140.0 115.0 2 90.0 4 7
139.5 114.5 1 89.5 2
139.0 114.0 89.0 10 3
138.5 113.5 2 88.5 7 4
138.0 113.0 1 88.0
137.5 112.5 5 1 87.5 7 3
137.0 112.0 87.0 1
136.5 111.5 1 1 86.5 3 7
136.0 111.0 86.0 4
135.5 110.5 85.5 4 1
135.0 110.0 1 3 85.0 5 5
134.5 109.5 84.5
134.0 109.0 3 3 84.0 9 6
133.5 1 108.5 83.5 2 4
133.0 108.0 2 2 83.0 5 1
132.5 107.5 2 82.5 4 1
132.0 107.0 82.0 2
131.5 106.5 4 4 81.5 4 2
131.0 106.0 81.0 1 2
130.5 105.5 8 1 80.5 5 6
130.0 105.0 3 80.0 3
129.5 104.5 79.5 1 3
129.0 104.0 7 1 79.0 3 1
128.5 103.5 78.5 2
128.0 103.0 4 3 78.0 6 2
127.5 102.5 77.5 2
127.0 102.0 2 1 77.0 4 5
126.5 101.5 3 76.5 3 2
126.0 101.0 5 1 76.0 1 2
125.5 1 100.5 10 3 75.5 6 2
American Mathematics Competitions
2006 AMC 12 A Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 2 50.0 1 25.0
74.5 2 2 49.5 1 24.5
74.0 1 49.0 24.0
73.5 2 2 48.5 23.5
73.0 8 2 48.0 2 2 23.0
72.5 1 2 47.5 1 1 22.5
72.0 3 5 47.0 22.0
71.5 3 46.5 1 21.5
71.0 3 46.0 1 21.0
70.5 1 45.5 20.5
70.0 5 2 45.0 1 20.0
69.5 5 2 44.5 19.5
69.0 1 1 44.0 19.0
68.5 2 3 43.5 18.5
68.0 2 2 43.0 18.0 1
67.5 4 42.5 17.5
67.0 3 2 42.0 1 17.0
66.5 1 2 41.5 1 16.5
66.0 3 2 41.0 1 16.0
65.5 40.5 15.5
65.0 1 40.0 15.0
64.5 2 2 39.5 14.5
64.0 1 2 39.0 1 14.0
63.5 2 38.5 13.5
63.0 2 1 38.0 13.0
62.5 2 3 37.5 12.5
62.0 2 37.0 12.0
61.5 2 36.5 11.5
61.0 5 36.0 1 11.0
60.5 35.5 10.5
60.0 1 1 35.0 10.0
59.5 1 4 34.5 9.5
59.0 1 1 34.0 9.0
58.5 1 33.5 8.5
58.0 2 33.0 8.0
57.5 1 32.5 7.5
57.0 32.0 7.0
56.5 2 2 31.5 6.5
56.0 1 1 31.0 6.0
55.5 1 30.5 5.5
55.0 1 1 30.0 5.0
54.5 29.5 4.5
54.0 4 29.0 4.0
53.5 3 28.5 3.5
53.0 28.0 3.0
52.5 27.5 2.5
52.0 1 27.0 2.0
51.5 2 26.5 1.5
51.0 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Colorado
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
133.5 1
125.5 1
124.0 1
123.0 1 1
122.0 1 1 2
120.5 1 1
119.5 1 2 2
118.5 4 5
117.0 1 1
116.0 1 2 2
115.0 1 1
114.5 1
113.5 1 1
113.0 1
112.5 2 1 3
111.5 2
110.0 1 3
109.5 1
109.0 1 3 2
108.0 1 3
107.5 1 1
106.5 4 4
105.5 2 3 4
105.0 2 2
104.0 1 3 4
103.0 1 4 2
102.0 2 1 1
101.5 3
101.0 4 2
100.5 2 7 4
100.0 1
99.5 1 6
99.0 1
98.5 1 1 2
98.0 1 2 2 1
97.5 2
97.0 5 6
96.5 2 2
96.0 4 2
95.5 2 3
95.0 5 5
94.5 7 2
93.5 1 2 3
93.0 3 1
92.5 5 3
92.0 1 1 3
91.5 2
91.0 1 2 2
90.5 1
90.0 1 7 3
89.5 1 1
89.0 1 1 8 3
88.5 3 2 6
87.5 7 3
87.0 1
86.5 1 1 6 3
86.0 1 2 1
85.5 2 2 1
85.0 1 6 4
84.0 2 2 8 5
83.5 1 1 2 2
83.0 1 2 2 3
82.5 6
82.0 1 1
81.5 1 5
81.0 3
80.5 1 1 6 2 1
80.0 2 1
79.5 2 2
79.0 3 2
78.5 2
78.0 2 1 5 1
77.5 1 1
77.0 2 1 4 2
76.5 4 1
76.0 3
75.5 1 6 2
75.0 5 2
74.5 3 1
74.0 1 1
73.5 2 2
73.0 1 5 4
72.5 3
72.0 1 5 3
71.5 2 1 1
71.0 1 1 1
70.5 1
70.0 1 1 5
69.5 1 1 2 3
69.0 1 1
68.5 4 2
68.0 2 2
67.5 1 1 2
67.0 2 1 2
66.5 1 2
66.0 1 4
65.0 1
64.5 1 3
64.0 3
63.5 1 1 1
63.0 2 1
62.5 1 3 1
62.0 2
61.5 1 1
61.0 2 2 1
60.0 2
59.5 2 2 1
59.0 1 1
58.5 1
58.0 1 1
57.5 1
56.5 1 3
56.0 2
55.5 1
55.0 1 1 1
54.0 3 1
53.5 1 2
52.0 1
51.5 1 1
50.5 1
50.0 1
49.5 1 1
48.0 2 3
47.5 1 1
46.5 1
46.0 1
45.0 1
42.0 1
41.5 1
41.0 1
39.0 1
36.0 1
30.0 1
18.0 1
American Mathematics Competitions
2006 AMC 12 A Results for Colorado
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.93* 0.02 0.02 0.02 0.00 0.02 0.00
2 1.48 0.26 4.53* 0.05 1.08 2.61 0.00
3 0.02 8.78* 0.02 0.02 1.13 0.03 0.00
4 2.02 0.07 0.05 0.03 7.56* 0.26 0.00
5 0.14 0.60 0.84 7.98* 0.15 0.29 0.00
6 7.70* 0.03 0.45 0.27 0.17 1.37 0.00
7 0.69 5.80* 0.89 0.46 0.33 1.84 0.00
8 1.23 0.91 7.07* 0.22 0.12 0.45 0.00
9 8.54* 0.12 0.03 0.03 0.24 1.03 0.00
10 0.24 0.14 0.69 4.01 2.20* 2.73 0.00
11 1.39 0.93 2.80* 1.27 0.75 2.86 0.00
12 1.58 5.83* 0.17 0.69 0.29 1.44 0.00
13 0.51 0.10 0.19 0.07 6.30* 2.83 0.00
14 0.03 0.69 4.96* 2.30 0.46 1.56 0.00
15 3.22* 1.90 0.31 0.69 1.61 2.26 0.00
16 0.33 4.48* 0.21 0.29 0.58 4.12 0.00
17 0.27 0.70* 0.72 0.46 0.09 7.75 0.00
18 1.99 0.10 0.39 0.46 0.51* 6.54 0.00
19 0.15 0.26 0.22 0.14 0.29* 8.94 0.00
20 1.80 0.84 0.65* 0.33 0.21 6.17 0.00
21 0.19 0.02 0.63 0.12 0.22* 8.82 0.00
22 0.19 0.12 0.21 0.19* 0.05 9.25 0.00
23 0.14 0.22* 0.09 0.19 0.24 9.13 0.00
24 1.46 0.21 0.17 0.38* 0.19 7.60 0.00
25 0.19 0.19 0.19 0.24 0.15* 9.04 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
2006 AMC 10 B Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 2 125.0 100.0
149.5 124.5 99.5 1 1
149.0 124.0 99.0
148.5 123.5 98.5
148.0 123.0 1 98.0 2
147.5 122.5 97.5 1
147.0 122.0 97.0 1
146.5 121.5 96.5 1
146.0 121.0 96.0
145.5 120.5 1 95.5
145.0 120.0 95.0 1
144.5 119.5 94.5 2
144.0 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0
142.5 117.5 92.5 1
142.0 117.0 92.0
141.5 116.5 91.5 3
141.0 116.0 91.0
140.5 1 115.5 90.5 1
140.0 115.0 1 90.0
139.5 114.5 89.5
139.0 114.0 89.0 1
138.5 113.5 1 1 88.5
138.0 113.0 88.0 1
137.5 112.5 87.5
137.0 112.0 87.0
136.5 111.5 86.5 1
136.0 1 111.0 1 86.0 1
135.5 110.5 85.5 1 1
135.0 110.0 1 1 85.0 3
134.5 109.5 84.5
134.0 109.0 84.0 1
133.5 108.5 83.5 1
133.0 108.0 83.0
132.5 107.5 82.5 2
132.0 107.0 82.0
131.5 106.5 81.5 3
131.0 106.0 81.0
130.5 105.5 80.5 1 1
130.0 105.0 80.0
129.5 104.5 79.5
129.0 104.0 1 79.0
128.5 103.5 78.5 3
128.0 103.0 78.0 1
127.5 102.5 77.5
127.0 102.0 1 77.0
126.5 101.5 76.5 1
126.0 101.0 76.0
125.5 100.5 75.5 3
American Mathematics Competitions
2006 AMC 10 B Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 50.0 25.0
74.5 2 49.5 1 24.5
74.0 1 49.0 1 24.0
73.5 48.5 1 23.5
73.0 1 48.0 1 5 23.0
72.5 1 47.5 22.5
72.0 3 1 47.0 2 22.0
71.5 46.5 1 1 21.5
71.0 2 46.0 21.0
70.5 2 45.5 1 20.5
70.0 1 45.0 20.0
69.5 1 44.5 1 19.5
69.0 44.0 2 19.0
68.5 3 2 43.5 3 18.5
68.0 1 1 43.0 2 18.0
67.5 1 1 42.5 1 17.5
67.0 2 1 42.0 2 1 17.0
66.5 1 1 41.5 1 16.5
66.0 1 1 41.0 16.0
65.5 1 2 40.5 15.5
65.0 2 40.0 15.0
64.5 1 2 39.5 2 14.5
64.0 3 39.0 1 1 14.0
63.5 1 2 38.5 13.5
63.0 2 1 38.0 2 13.0
62.5 3 37.5 12.5
62.0 37.0 1 12.0
61.5 2 36.5 2 11.5
61.0 3 36.0 3 3 11.0
60.5 2 1 35.5 10.5
60.0 2 35.0 10.0
59.5 1 3 34.5 9.5
59.0 2 34.0 9.0
58.5 1 1 33.5 8.5
58.0 1 33.0 8.0
57.5 1 32.5 1 7.5
57.0 1 32.0 7.0
56.5 2 1 31.5 6.5
56.0 3 31.0 6.0
55.5 30.5 1 5.5
55.0 2 30.0 1 1 5.0
54.5 1 1 29.5 4.5
54.0 1 2 29.0 1 4.0
53.5 1 1 28.5 3.5
53.0 1 28.0 1 3.0
52.5 1 27.5 1 2.5
52.0 27.0 2.0
51.5 1 1 26.5 1.5
51.0 2 26.0 1.0
50.5 2 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Colorado
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 2
140.5 1
136.0 1
123.0 1
120.5 1
115.0 1
113.5 1 1
111.0 1
110.0 2
104.0 1
102.0 1
99.5 2
98.0 1 1
97.5 1
97.0 1
96.5 1
95.0 1
94.5 1 1
93.5 1 1
92.5 1
91.5 1 2
90.5 1
89.0 1
88.0 1 1
86.5 1 1
86.0 1
85.5 1 1
85.0 1 2
84.0 1
83.5 1
82.5 1 1
82.0 1
81.5 1 2
80.5 2
80.0 1
79.0 1
78.5 1 2
78.0 1
76.5 1
76.0 1
75.5 1 1 1
74.5 2
74.0 1 1
73.0 2
72.5 1
72.0 1 3 1
71.0 1 1
70.5 2 1
70.0 1
69.5 1
68.5 1 4
68.0 2
67.5 2
67.0 3
66.5 1 1
66.0 2
65.5 1 2
65.0 1 1
64.5 2 1 1
64.0 1 2
63.5 1 2
63.0 1 2
62.5 2 2 1
61.5 2
61.0 1 2
60.5 1 2
60.0 3
59.5 1 3
59.0 1 1
58.5 1 1
58.0 1 1
57.5 2
57.0 1
56.5 3
56.0 1 2 1
55.5 1
55.0 2
54.5 1 1
54.0 1 1 1
53.5 1 1 1
53.0 1
52.5 1 1
52.0 1
51.5 2
51.0 2
50.5 1 1 1
49.5 1 1 1
49.0 1
48.5 1
48.0 1 5
47.0 2
46.5 1 1
45.5 1
44.5 1
44.0 1 1
43.5 1 2 1
43.0 1 1
42.5 1
42.0 1 2 2
41.5 1
41.0 1
39.5 2 1
39.0 2
38.0 1 1 1
37.0 1
36.5 1 1
36.0 1 2 3 3
34.5 1
32.5 1
30.5 1
30.0 2
29.0 1
28.0 1
27.5 1
27.0 1
25.5 1
American Mathematics Competitions
2006 AMC 10 B Results for Colorado
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.84 0.46 5.44* 2.03 0.84 0.38 0.00
2 5.02* 0.93 0.08 0.30 0.34 3.33 0.00
3 7.09* 0.13 0.04 2.28 0.30 0.17 0.00
4 0.84 1.60 0.46 3.50* 2.66 0.93 0.00
5 1.18 4.81* 2.03 0.55 0.04 1.39 0.00
6 0.34 0.25 3.00 3.97* 0.38 2.07 0.00
7 1.69* 1.69 1.52 1.35 1.01 2.74 0.00
8 2.36 1.39* 0.21 1.81 0.51 3.71 0.00
9 0.21 7.97* 0.21 0.25 0.68 0.68 0.00
10 1.81* 0.38 1.90 0.38 2.45 3.08 0.00
11 0.42 0.59 2.70* 0.72 0.51 5.06 0.00
12 0.51 0.34 0.38 0.93 4.43* 3.42 0.00
13 1.10 0.21 2.41 0.76 3.04* 2.49 0.00
14 0.34 0.25 0.46 0.63* 0.04 8.27 0.00
15 0.93 0.76 2.49* 0.42 0.38 5.02 0.00
16 2.57 0.38 2.36 1.10 1.73* 1.86 0.00
17 3.16 1.27 1.43 2.78* 0.04 1.31 0.00
18 0.55 0.38 1.48 0.89 1.05* 5.65 0.00
19 0.84* 0.59 0.51 0.38 0.25 7.43 0.00
20 0.34 0.30 0.72 1.14 0.97* 6.54 0.00
21 0.80 0.42 0.89* 2.28 0.84 4.77 0.00
22 0.46 1.10 2.19 1.01* 0.30 4.94 0.00
23 0.51 0.84 0.46 0.51* 0.55 7.13 0.00
24 0.34 1.27* 0.97 0.51 0.38 6.54 0.00
25 0.55 2.15* 0.08 2.41 0.38 4.43 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
2006 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 2
149.0 124.0 99.0 1
148.5 123.5 98.5 5
148.0 123.0 1 98.0 1
147.5 122.5 97.5 1 1
147.0 122.0 1 97.0
146.5 121.5 96.5
146.0 121.0 96.0 7
145.5 120.5 1 95.5
145.0 120.0 95.0 7 2
144.5 119.5 94.5
144.0 119.0 94.0 1
143.5 118.5 93.5 3 2
143.0 118.0 1 93.0 1
142.5 117.5 92.5 1
142.0 117.0 1 92.0
141.5 116.5 91.5 4
141.0 116.0 4 91.0
140.5 115.5 90.5
140.0 115.0 90.0 4 2
139.5 1 114.5 89.5 2
139.0 114.0 89.0 4 4
138.5 113.5 2 1 88.5 1 1
138.0 113.0 88.0 2 1
137.5 112.5 1 1 87.5 1 2
137.0 112.0 1 87.0 1 1
136.5 111.5 1 1 86.5 6 3
136.0 111.0 86.0 1 1
135.5 110.5 85.5 3 2
135.0 110.0 2 85.0 3 2
134.5 109.5 84.5 1 1
134.0 109.0 1 84.0 3 2
133.5 108.5 83.5 1
133.0 108.0 1 1 83.0 5 3
132.5 1 107.5 82.5 4
132.0 107.0 82.0 5 1
131.5 106.5 2 81.5 1 2
131.0 106.0 1 81.0 1 5
130.5 105.5 2 2 80.5 2 3
130.0 105.0 80.0 5 2
129.5 104.5 4 1 79.5 2
129.0 104.0 79.0 1
128.5 103.5 78.5 3 6
128.0 103.0 2 78.0 10 6
127.5 102.5 77.5 1 2
127.0 102.0 4 2 77.0 3 4
126.5 1 101.5 76.5 1
126.0 101.0 5 76.0 6
125.5 1 100.5 2 1 75.5 2 5
American Mathematics Competitions
2006 AMC 12 B Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 2 50.0 1 25.0
74.5 3 7 49.5 24.5
74.0 1 49.0 1 24.0 2 1
73.5 3 6 48.5 1 23.5
73.0 1 1 48.0 4 7 23.0
72.5 1 2 47.5 2 22.5
72.0 3 5 47.0 1 22.0
71.5 2 46.5 21.5
71.0 5 2 46.0 21.0
70.5 4 45.5 20.5
70.0 2 2 45.0 1 3 20.0
69.5 2 44.5 2 1 19.5
69.0 1 1 44.0 1 19.0
68.5 5 4 43.5 2 18.5
68.0 1 1 43.0 1 18.0
67.5 2 3 42.5 17.5
67.0 4 42.0 4 5 17.0
66.5 1 41.5 2 16.5
66.0 6 5 41.0 1 16.0
65.5 1 40.5 15.5
65.0 1 40.0 2 15.0
64.5 1 1 39.5 14.5
64.0 1 4 39.0 14.0
63.5 2 38.5 1 1 13.5
63.0 2 2 38.0 1 13.0
62.5 4 2 37.5 3 12.5
62.0 4 1 37.0 1 12.0
61.5 3 4 36.5 1 11.5
61.0 36.0 5 7 11.0
60.5 3 2 35.5 10.5
60.0 8 5 35.0 10.0
59.5 1 1 34.5 1 9.5
59.0 1 3 34.0 9.0
58.5 1 1 33.5 8.5
58.0 3 1 33.0 1 8.0
57.5 2 32.5 1 7.5
57.0 1 32.0 1 7.0
56.5 2 2 31.5 6.5
56.0 1 3 31.0 6.0
55.5 2 2 30.5 5.5
55.0 30.0 1 2 5.0
54.5 1 2 29.5 4.5
54.0 13 4 29.0 4.0
53.5 2 1 28.5 3.5
53.0 1 28.0 3.0
52.5 1 27.5 2.5
52.0 5 27.0 2.0
51.5 1 26.5 1.5
51.0 2 26.0 1 1.0
50.5 3 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Colorado
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
139.5 1
132.5 1
126.5 1
125.5 1
123.0 1
122.0 1
120.5 1 1
118.0 1
117.0 1
116.0 1 3
114.5 1
113.5 1 1 1
112.5 1 1
112.0 1
111.5 1 1
110.0 1 1
109.0 1
108.0 1 1
106.5 1 1
106.0 1
105.5 1 1 4
104.5 2 3
103.0 1 1
102.0 2 4
101.0 1 1 1 2
100.5 1 2
99.5 1 1 2
99.0 1
98.5 1 3 2
98.0 1
97.5 1 1
96.0 1 2 4
95.0 2 3 4
94.0 1
93.5 3 2
93.0 1
92.5 1
91.5 2 2
90.5 1
90.0 4 2
89.5 1 1
89.0 1 1 2 4
88.5 2
88.0 1 2
87.5 1 1 1
87.0 1 1
86.5 2 7
86.0 2
85.5 4 1
85.0 3 2
84.5 1 1
84.0 1 3 1
83.5 1
83.0 2 6
82.5 1 2 1
82.0 2 4
81.5 2 1
81.0 1 5
80.5 1 3 1
80.0 5 2
79.5 2
79.0 1
78.5 6 3
78.0 13 4
77.5 4
77.0 7 2
76.5 1
76.0 5 1
75.5 6 1
75.0 3 2
74.5 4 6
74.0 1
73.5 7 2
73.0 2
72.5 2 2
72.0 1 6 4
71.5 1 1
71.0 4 4
70.5 1 2 1
70.0 4
69.5 2
69.0 2
68.5 4 5
68.0 2
67.5 3 2
67.0 3 1 1
66.5 1
66.0 1 8 3
65.5 1 2
65.0 1
64.5 2
64.0 1 3 1
63.5 1 1
63.0 3 1
62.5 5 1 1
62.0 4 1
61.5 4 3
60.5 5
60.0 7 6
59.5 3
59.0 1 3
58.5 1 1
58.0 4
57.5 1 1
57.0 1
56.5 2 2
56.0 3 1
55.5 3 1
55.0 1
54.5 2 1
54.0 1 13 5
53.5 1 2
53.0 1
52.5 1
52.0 5
51.5 1
51.0 1 1
50.5 2 4
50.0 2
49.0 1
48.5 1
48.0 1 8 3
47.5 2
47.0 1
45.0 4
44.5 3
44.0 1
43.5 2
43.0 1
42.0 8 2
41.5 2
41.0 1
40.0 2
38.5 2
38.0 1
37.5 1 2
37.0 1
36.5 1
36.0 6 5 1
34.5 1
33.0 1
32.5 1
32.0 1
30.0 1 2
26.0 1
24.0 3
American Mathematics Competitions
2006 AMC 12 B Results for Colorado
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.26 0.40 7.49* 1.38 0.44 0.04 0.00
2 6.54* 1.18 0.16 0.36 0.33 1.42 0.00
3 7.49* 0.46 0.05 1.66 0.18 0.16 0.00
4 9.11* 0.31 0.16 0.22 0.02 0.18 0.00
5 5.70* 1.57 0.71 0.44 0.20 1.38 0.00
6 0.22 7.89* 0.27 0.24 0.93 0.46 0.00
7 0.51 7.23* 0.60 0.97 0.33 0.36 0.00
8 0.33 0.53 0.46 0.75 6.25* 1.69 0.00
9 0.98 3.17* 0.87 1.20 0.60 3.17 0.00
10 2.26* 0.42 1.88 0.31 2.88 2.26 0.00
11 0.98 0.56 2.11 1.24 3.53* 1.57 0.00
12 1.28 0.95 0.71 1.02* 1.38 4.66 0.00
13 0.97 0.78 2.50* 0.62 0.84 4.30 0.00
14 0.69 0.98 2.68 1.44* 0.42 3.79 0.00
15 0.44 1.71* 1.26 1.15 0.46 4.99 0.00
16 0.55 0.82 1.33* 0.67 0.38 6.25 0.00
17 1.22 0.71 1.62* 1.77 0.67 4.01 0.00
18 0.84 1.07* 1.64 0.87 0.44 5.14 0.00
19 0.46 2.11* 0.38 2.00 0.77 4.26 0.02
20 0.55 0.80 0.75* 0.36 1.15 6.39 0.00
21 0.84 0.51 0.60* 0.58 0.49 6.98 0.00
22 0.53 0.86* 0.84 0.56 0.31 6.90 0.00
23 0.84 0.75 0.95 0.58 0.40* 6.47 0.02
24 0.53 0.64 0.80* 0.67 0.35 7.01 0.00
25 0.51 0.77* 0.93 0.71 0.49 6.59 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column