American Mathematics Competitions
2006 AMC 10 A Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 974
Number of unofficial participants: 0
Average score of participants: 72.6
Average score for female students is: 71.2 ( 472 Students)
Average score for male students is: 75.6 ( 420 Students)
Average score for unspecified gender is 65.4 ( 82 Students)
Average score for grade 10 is: 74.5 ( 488 Students)
Average score for grade 9 is: 70.8 ( 425 Students)
Average score for grade 8 and below is: 71.6 ( 47 Students)
Average score with unknown grade: 67.1 ( 14 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 6
Number of schools returning results 31
Average school winning score 104.21
American Mathematics Competitions
2006 AMC 12 A Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1617
Number of unofficial participants: 0
Average score of participants: 80.6
Average score for female students is: 78.1 ( 705 Students)
Average score for male students is: 83.1 ( 825 Students)
Average score for unspecified gender is 77.1 ( 87 Students)
Average score for grade 12 is: 80.3 ( 656 Students)
Average score for grade 11 is: 80.5 ( 711 Students)
Average score for grade 10 is: 80.5 ( 168 Students)
Average score for grade 9 is: 86.2 ( 58 Students)
Average score for grade 8 and below is: 81.9 ( 7 Students)
Average score with unknown grade: 78.0 ( 17 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 244
Number of schools returning results 35
Average school winning score 110.47
Average school team score 313.21
American Mathematics Competitions
2006 AMC 10 B Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 92
Number of unofficial participants: 0
Average score of participants: 70.7
Average score for female students is: 67.3 ( 39 Students)
Average score for male students is: 73.5 ( 51 Students)
Average score for unspecified gender is 64.8 ( 2 Students)
Average score for grade 10 is: 70.1 ( 49 Students)
Average score for grade 9 is: 65.1 ( 26 Students)
Average score for grade 8 and below is: 80.7 ( 17 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 1
Number of schools returning results 5
Average school winning score 95.50
American Mathematics Competitions
2006 AMC 12 B Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 173
Number of unofficial participants: 0
Average score of participants: 88.6
Average score for female students is: 82.6 ( 45 Students)
Average score for male students is: 90.3 ( 117 Students)
Average score for unspecified gender is 94.7 ( 11 Students)
Average score for grade 12 is: 90.3 ( 81 Students)
Average score for grade 11 is: 87.9 ( 59 Students)
Average score for grade 10 is: 90.3 ( 16 Students)
Average score for grade 9 is: 79.3 ( 15 Students)
Average score with unknown grade: 97.3 ( 2 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 41
Number of schools returning results 9
Average school winning score 115.50
Average school team score 316.89
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
366.0 1 1
359.0 1 2
357.5 1 3
356.5 1 4
354.0 1 5
353.0 1 6
349.5 1 1 7
345.5 1 9
345.0 1 10
342.5 1 11
340.0 1 12
339.0 1 13
336.5 1 14
328.0 1 15
326.5 2 16
322.0 2 18
318.5 1 20
318.0 1 21
316.5 1 22
315.0 1 23
314.5 1 24
314.0 1 25
313.5 2 26
312.0 1 28
310.5 1 29
303.0 1 30
302.5 1 31
302.0 1 32
300.0 1 33
297.5 1 34
287.5 1 35
285.5 1 36
284.5 1 37
282.0 1 38
269.5 1 39
264.5 1 40
253.5 1 41
252.0 1 42
245.0 1 43
221.0 1 44
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
139.5 1
134.5 1
131.0 1
128.5 1
126.0 1
125.5 2
123.0 2 2
122.0 1 1 1 1
121.5 1
120.5 1
119.5 2
118.5 9 2 1
118.0 1
117.0 1
116.0 4
115.5 1
115.0 9 2
114.5 1
113.5 6 2
112.5 14 4 2
111.5 10 3
111.0 2
110.0 13 1 3
109.5 1
109.0 11 1
108.5 1
108.0 6 4 1
107.5 4 2 2
106.5 27 1 3
106.0 1 2
105.5 6 3 1
105.0 1 4
104.5 3 1
104.0 9 2
103.5 1 1
103.0 28 3 2 1
102.5 1 2
102.0 24 5 3 1
101.5 9 6
101.0 9 5 1
100.5 28 1 2 2
100.0 1 3
99.5 17 5 3
99.0 3
98.5 12 9 3
98.0 15 1 12
97.5 3 5 2
97.0 29 1 3 1
96.5 2 2
96.0 31 3 8 2
95.5 9 3 2
95.0 19 7 8
94.5 28 1 5 1
94.0 2 3
93.5 23 7
93.0 2
92.5 23 8 4 1
92.0 15 1 9 1
91.5 5 3 5 1
91.0 18 2 11
90.5 5 1 1
90.0 31 1 6
89.5 6 5 2
89.0 23 10 5
88.5 16 1 13 1
88.0 6 3 2 2
87.5 16 2 12 2
87.0 4 1 1
86.5 22 1 14 1
86.0 15 4 2
85.5 9 2 10
85.0 19 2 14
84.5 5 9
84.0 35 3 15 1
83.5 14 1 8 1
83.0 34 3 12 1
82.5 20 1 9
82.0 10 2 11
81.5 18 10
81.0 10 1 8
80.5 28 3 11
80.0 14 6 2
79.5 10 1 13 2
79.0 19 1 8
78.5 13 2 9 2
78.0 25 3 19
77.5 13 18
77.0 24 13 2
76.5 20 1 14 1
76.0 10 2 16
75.5 19 19 1
75.0 17 7
74.5 23 2 16 2
74.0 11 1 4
73.5 19 2 11
73.0 13 11 1
72.5 10 10
72.0 19 2 19
71.5 11 10 1
71.0 16 2 11
70.5 11 1 10 2
70.0 9 10 2
69.5 17 1 10
69.0 12 8
68.5 14 2 7 3
68.0 9 6 3
67.5 9 2 16 1
67.0 20 11
66.5 16 4 9 2
66.0 21 15 3
65.5 9 7
65.0 10 15 1
64.5 9 7 1
64.0 12 2 10
63.5 10 1 9 1
63.0 5 1 3
62.5 18 10
62.0 8 8 1
61.5 8 7
61.0 10 11
60.5 9 6
60.0 9 15 1
59.5 5 1 6
59.0 8 1 3
58.5 7 1 9 4
58.0 9 2 3 1
57.5 12 1 5 2
57.0 8 6 2
56.5 7 1 7 1
56.0 11 6
55.5 5 6
55.0 6 7 1
54.5 6 3 1
54.0 9 2 12
53.5 5 4
53.0 2 1 3
52.5 8 4 1
52.0 8 9
51.5 5 1
51.0 4 6 1
50.5 9 3 1
50.0 3 3
49.5 5
49.0 3 4
48.5 4 4
48.0 10 3 12 1
47.5 2 5
47.0 3
46.5 3
46.0 2 4
45.5 4 1 2 1
45.0 1
44.5 5 1
44.0 4 1
43.5 2 2
43.0 3 1
42.5 1
42.0 4 11
41.5 2
41.0 1 2
40.5 1
40.0 2 3 1
39.5 1
39.0 1 2
38.5 2
38.0 1
37.5 2
37.0 3 1
36.5 2
36.0 5 17 2
35.0 1
34.0 1
33.0 1
32.5 1 3
32.0 1 1
30.0 2 6 2
28.5 1
24.5 1
24.0 1 5 1
18.0 2
17.0 1
16.0 1
12.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Arizona
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 1 1
149.5 124.5 99.5 1 2
149.0 124.0 99.0
148.5 123.5 98.5 2 1
148.0 123.0 98.0 6 5
147.5 122.5 97.5 1 1
147.0 122.0 1 97.0 3
146.5 121.5 96.5 1 1
146.0 121.0 96.0 1 6
145.5 120.5 1 95.5 3
145.0 120.0 95.0 3 5
144.5 119.5 94.5 3 2
144.0 119.0 94.0 3
143.5 118.5 1 93.5 5 1
143.0 118.0 93.0
142.5 117.5 92.5 1 2
142.0 117.0 92.0 5 4
141.5 116.5 91.5 3 2
141.0 116.0 91.0 6 5
140.5 115.5 1 90.5 1
140.0 115.0 90.0 4 2
139.5 114.5 1 89.5 4 1
139.0 114.0 89.0 3 2
138.5 113.5 1 1 88.5 7 4
138.0 113.0 88.0 1
137.5 112.5 2 87.5 3 9
137.0 112.0 87.0 1
136.5 111.5 86.5 5 9
136.0 111.0 86.0 1 3
135.5 110.5 85.5 7 3
135.0 110.0 1 2 85.0 7 6
134.5 1 109.5 1 84.5 4 5
134.0 109.0 1 84.0 6 8
133.5 108.5 83.5 4 3
133.0 108.0 1 83.0 6 5
132.5 107.5 2 82.5 3 6
132.0 107.0 82.0 4 4
131.5 106.5 1 2 81.5 7 3
131.0 1 106.0 2 81.0 2 6
130.5 105.5 80.5 6 4
130.0 105.0 1 2 80.0 3 2
129.5 104.5 1 79.5 5 7
129.0 104.0 1 1 79.0 6 1
128.5 1 103.5 1 78.5 6 3
128.0 103.0 2 78.0 6 11
127.5 102.5 1 1 77.5 8 9
127.0 102.0 2 1 77.0 5 7
126.5 101.5 3 3 76.5 6 8
126.0 1 101.0 1 76.0 10 5
125.5 100.5 2 75.5 12 6
American Mathematics Competitions
2006 AMC 10 A Results for Arizona
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 3 50.0 1 2 25.0
74.5 5 9 49.5 2 1 24.5
74.0 1 3 49.0 3 1 24.0 2 3
73.5 3 6 48.5 3 23.5
73.0 5 6 48.0 4 7 23.0
72.5 6 4 47.5 2 3 22.5
72.0 8 10 47.0 22.0
71.5 6 4 46.5 1 2 21.5
71.0 5 6 46.0 2 2 21.0
70.5 3 6 45.5 2 20.5
70.0 3 7 45.0 20.0
69.5 4 5 44.5 19.5
69.0 2 5 44.0 19.0
68.5 2 3 43.5 2 18.5
68.0 3 2 43.0 18.0 2
67.5 7 7 42.5 1 17.5
67.0 4 7 42.0 4 5 17.0
66.5 4 4 41.5 16.5
66.0 6 6 41.0 1 16.0
65.5 4 2 40.5 1 15.5
65.0 4 10 40.0 2 15.0
64.5 1 6 39.5 14.5
64.0 3 7 39.0 1 14.0
63.5 5 4 38.5 13.5
63.0 2 38.0 13.0
62.5 1 8 37.5 2 12.5
62.0 4 3 37.0 12.0
61.5 5 2 36.5 1 1 11.5
61.0 5 6 36.0 5 8 11.0
60.5 1 5 35.5 10.5
60.0 6 6 35.0 10.0
59.5 4 2 34.5 9.5
59.0 2 34.0 9.0
58.5 4 5 33.5 8.5
58.0 2 1 33.0 8.0
57.5 5 32.5 1 2 7.5
57.0 2 3 32.0 1 7.0
56.5 3 4 31.5 6.5
56.0 2 3 31.0 6.0
55.5 1 4 30.5 5.5
55.0 4 3 30.0 2 1 5.0
54.5 1 1 29.5 4.5
54.0 3 6 29.0 4.0
53.5 1 3 28.5 1 3.5
53.0 1 1 28.0 3.0
52.5 3 1 27.5 2.5
52.0 3 3 27.0 2.0
51.5 1 26.5 1.5
51.0 4 2 26.0 1.0
50.5 1 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Arizona
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
134.5 1
131.0 1
128.5 1
126.0 1
122.0 1
120.5 1
118.5 1
115.5 1
114.5 1
113.5 1 1
112.5 2
110.0 1 2
109.5 1
109.0 1
108.0 1
107.5 1 1
106.5 1 2
106.0 1 1
105.5 1
105.0 4
104.5 1
104.0 1 1
103.5 1
103.0 1 1
102.5 1 1
102.0 1 2
101.5 2 4
101.0 1
100.5 2
100.0 1 2
99.5 1 2
98.5 2 1
98.0 3 9
97.5 2
97.0 1 2
96.5 1 1
96.0 1 1 6
95.5 1 2
95.0 5 3
94.5 4 1
94.0 1 2
93.5 4 3
92.5 2 2
92.0 3 6
91.5 1 4
91.0 7 4
90.5 1
90.0 1 5
89.5 2 3
89.0 3 2
88.5 8 4 1
88.0 1 1
87.5 2 2 8
87.0 1
86.5 8 6
86.0 4
85.5 1 5 4
85.0 1 12 1
84.5 1 2 6
84.0 1 6 8
83.5 5 3
83.0 7 5
82.5 5 4
82.0 4 6 1
81.5 1 3 6
81.0 3 5
80.5 6 5
80.0 2 4
79.5 1 7 5
79.0 6 2
78.5 2 7
78.0 2 7 10
77.5 2 8 8
77.0 1 5 7
76.5 4 10
76.0 6 10
75.5 1 13 5
75.0 1 4 2
74.5 3 8 5
74.0 3 1
73.5 6 5
73.0 5 6
72.5 2 1 6 1
72.0 1 8 10
71.5 6 4
71.0 2 4 4 1
70.5 5 5
70.0 5 5
69.5 1 4 5
69.0 1 5 1 1
68.5 3 4
68.0 4 2
67.5 1 5 9 1
67.0 1 5 5
66.5 5 3 1
66.0 1 7 7
65.5 2 2 2 1
65.0 6 9
64.5 1 2 4
64.0 3 4 3
63.5 2 2 5
63.0 2 1
62.5 3 4 3
62.0 5 2 1
61.5 3 4
61.0 4 7
60.5 2 4
60.0 7 8
59.5 1 3 2
59.0 1 2
58.5 4 4 1
58.0 1 2
57.5 3 2
57.0 3 3
56.5 1 3 3
56.0 1 2 3
55.5 5 1
55.0 4 3
54.5 1 2
54.0 7 5
53.5 1 3
53.0 1 1 1
52.5 2 2
52.0 1 8
51.5 1
51.0 1 3 2
50.5 1 2
50.0 3
49.5 1 3 1
49.0 4
48.5 2 2
48.0 6 6
47.5 4 1
46.5 1 2
46.0 4
45.5 2
44.5 1
43.5 1 1
43.0 1
42.5 1
42.0 3 8
41.0 1 1
40.5 1
40.0 1 2
39.0 1
37.5 1 1
36.5 1 1
36.0 10 6 1
34.0 1
32.5 1 2
32.0 1
30.0 3 3
28.5 1
24.0 2 3
18.0 2
American Mathematics Competitions
2006 AMC 10 A Results for Arizona
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 9.88* 0.01 0.01 0.10 0.00 0.00 0.00
2 0.84 0.33 1.97* 0.35 2.24 4.27 0.00
3 0.09 7.99* 0.10 0.09 1.64 0.08 0.00
4 2.38 0.12 0.10 0.22 6.57* 0.60 0.01
5 0.34 1.32 1.47 6.23* 0.27 0.37 0.00
6 0.26 7.27* 0.73 0.17 0.09 1.48 0.00
7 7.35* 0.11 0.41 0.33 0.16 1.62 0.01
8 1.32 0.68 0.48 0.24 1.71* 5.56 0.00
9 1.97 1.53 4.77* 0.35 0.32 1.06 0.00
10 0.44 0.36 0.98 2.26 0.92* 5.04 0.00
11 1.69 1.54 1.43* 0.97 0.69 3.69 0.00
12 1.12 0.52 4.30* 1.16 0.43 2.46 0.00
13 0.49 1.25 0.45 4.94* 0.17 2.69 0.00
14 1.62 3.48* 0.37 1.20 0.93 2.39 0.00
15 1.09 0.45 0.53 1.41* 0.78 5.74 0.00
16 0.40 0.44 0.40 0.45* 0.72 7.58 0.01
17 1.46* 0.59 0.40 0.70 0.36 6.50 0.00
18 2.59 0.30 2.60* 0.48 0.18 3.84 0.01
19 0.61 1.52 0.82* 0.40 0.24 6.41 0.01
20 0.49 1.64 0.56 0.50 0.40* 6.40 0.00
21 0.91 0.84 0.48 0.72 0.88* 6.16 0.00
22 0.11 0.87 2.72* 3.71 1.20 1.39 0.00
23 0.87 1.26* 0.25 0.34 0.74 6.54 0.00
24 1.01 0.41* 0.51 0.38 0.45 7.24 0.00
25 2.21 0.89 0.61* 0.73 0.48 5.08 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 A Results for Arizona
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 12 4
149.0 124.0 99.0 1 2
148.5 123.5 98.5 5 6
148.0 123.0 2 98.0 9 5
147.5 122.5 97.5 1 2
147.0 122.0 1 97.0 17 12
146.5 121.5 1 96.5 1 1
146.0 121.0 96.0 19 11
145.5 120.5 95.5 3 6
145.0 120.0 95.0 12 6
144.5 119.5 94.5 14 13
144.0 119.0 94.0 2
143.5 118.5 6 3 93.5 14 9
143.0 118.0 1 93.0 1 1
142.5 117.5 92.5 12 8
142.0 117.0 1 92.0 7 7
141.5 116.5 91.5 2 3
141.0 116.0 3 1 91.0 10 7
140.5 115.5 90.5 2 3
140.0 115.0 6 3 90.0 20 10
139.5 114.5 89.5 2 4
139.0 114.0 89.0 13 8
138.5 113.5 3 1 88.5 10 5
138.0 113.0 88.0 2 4
137.5 112.5 11 2 87.5 12 4
137.0 112.0 87.0 3 1
136.5 111.5 6 4 86.5 11 9
136.0 111.0 1 86.0 6 8
135.5 110.5 85.5 2 6
135.0 110.0 9 4 85.0 9 10
134.5 109.5 84.5 2 3
134.0 109.0 6 5 84.0 17 16
133.5 108.5 83.5 7 7
133.0 108.0 5 1 83.0 16 17
132.5 107.5 1 1 82.5 9 9
132.0 107.0 82.0 8 2
131.5 106.5 18 9 81.5 8 10
131.0 106.0 1 81.0 6 4
130.5 105.5 4 1 80.5 13 12
130.0 105.0 1 80.0 7 6
129.5 104.5 2 79.5 5 5
129.0 104.0 7 2 79.0 7 12
128.5 103.5 1 78.5 5 6
128.0 103.0 21 7 78.0 13 11
127.5 102.5 1 77.5 5 7
127.0 102.0 15 9 77.0 10 13
126.5 101.5 8 1 76.5 6 8
126.0 101.0 6 3 76.0 4 6
125.5 2 100.5 14 11 75.5 8 10
American Mathematics Competitions
2006 AMC 12 A Results for Arizona
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 7 50.0 2 1 25.0
74.5 8 15 49.5 24.5 1
74.0 5 6 49.0 2 24.0 1
73.5 8 10 48.5 1 2 23.5
73.0 9 4 48.0 7 2 23.0
72.5 5 4 47.5 1 1 22.5
72.0 12 7 47.0 2 1 22.0
71.5 5 5 46.5 21.5
71.0 10 5 46.0 1 1 21.0
70.5 7 4 45.5 3 1 20.5
70.0 2 6 45.0 1 20.0
69.5 9 7 44.5 1 3 19.5
69.0 6 6 44.0 2 2 19.0
68.5 6 8 43.5 2 18.5
68.0 5 4 43.0 1 1 18.0
67.5 2 7 42.5 17.5
67.0 12 7 42.0 4 17.0
66.5 6 9 41.5 1 1 16.5
66.0 8 12 41.0 1 16.0 1
65.5 3 5 40.5 15.5
65.0 5 4 40.0 2 15.0
64.5 3 5 39.5 14.5
64.0 6 6 39.0 14.0
63.5 3 6 38.5 2 13.5
63.0 2 3 38.0 1 13.0
62.5 10 7 37.5 12.5
62.0 7 37.0 1 2 12.0
61.5 4 4 36.5 11.5
61.0 3 6 36.0 2 3 11.0
60.5 4 4 35.5 10.5
60.0 6 2 35.0 1 10.0
59.5 1 4 34.5 9.5
59.0 3 4 34.0 9.0
58.5 1 4 33.5 8.5
58.0 5 3 33.0 8.0
57.5 4 7 32.5 1 7.5
57.0 3 5 32.0 1 7.0
56.5 3 4 31.5 6.5
56.0 4 7 31.0 6.0
55.5 2 3 30.5 5.5
55.0 2 4 30.0 1 1 5.0
54.5 2 4 29.5 4.5
54.0 6 3 29.0 4.0
53.5 1 4 28.5 3.5
53.0 2 28.0 3.0
52.5 4 4 27.5 2.5
52.0 1 6 27.0 2.0
51.5 3 26.5 1.5
51.0 1 3 26.0 1.0
50.5 6 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Arizona
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
125.5 1 1
123.0 2
122.0 1
121.5 1
118.5 1 3 5
118.0 1
117.0 1
116.0 2 2
115.0 1 4 4
113.5 4 2
112.5 1 7 5 1
111.5 1 2 4 3
111.0 2
110.0 3 6 4
109.0 1 3 7
108.0 1 2 3
107.5 1 3
106.5 1 2 13 11
106.0 1
105.5 2 4
105.0 1
104.5 1 1 1
104.0 2 7
103.5 1
103.0 2 5 9 12
102.5 1
102.0 2 2 7 13
101.5 5 4
101.0 1 1 3 4
100.5 1 4 16 6 1
100.0 1
99.5 2 1 10 4
99.0 1 2
98.5 1 3 4 4
98.0 1 1 10 3
97.5 1 2
97.0 1 2 9 17
96.5 1 1
96.0 1 4 13 13
95.5 2 2 5
95.0 2 3 3 10 1
94.5 1 3 15 9
94.0 1 1
93.5 2 13 8
93.0 1 1
92.5 2 5 10 5 1
92.0 1 1 8 5
91.5 2 3
91.0 1 1 5 11
90.5 1 1 2 1
90.0 1 1 4 17 8
89.5 1 3 2
89.0 1 2 13 7
88.5 5 6 5
88.0 1 4 1
87.5 2 10 4
87.0 2 2
86.5 3 8 11
86.0 1 1 8 5
85.5 1 5 3
85.0 7 12
84.5 2 1 1 1
84.0 1 5 20 9
83.5 1 7 6
83.0 3 2 11 18
82.5 1 8 11
82.0 3 7
81.5 1 2 8 6 1
81.0 6 4
80.5 1 3 13 10 1
80.0 7 7
79.5 5 5
79.0 1 4 9 5
78.5 1 1 6 4 1
78.0 1 1 14 8 1
77.5 1 2 7 3
77.0 1 5 11 6 1
76.5 1 10 8 1
76.0 3 7
75.5 2 10 6 1
75.0 2 1 11 2 1
74.5 1 4 11 7
74.0 2 5 4
73.5 5 6 8
73.0 3 5 5
72.5 1 5 4
72.0 2 1 3 9 4
71.5 8 3
71.0 2 5 9
70.5 1 7 3
70.0 3 6
69.5 4 6 7
69.0 1 5 6
68.5 1 3 4 6
68.0 7 2
67.5 1 3 5
67.0 1 8 11
66.5 8 7 1
66.0 1 2 9 9
65.5 3 6
65.0 2 3 5
64.5 2 2 3 2
64.0 2 2 3 5
63.5 5 4 1
63.0 5
62.5 1 1 9 6 1
62.0 1 3 4
61.5 1 4 3
61.0 4 6
60.5 1 8
60.0 1 4 4
59.5 2 3
59.0 1 1 3 3
58.5 1 1 4 1
58.0 1 6 2
57.5 2 5 5
57.0 2 6
56.5 1 4 2
56.0 2 4 5
55.5 3 1 1
55.0 4 2
54.5 2 1 3
54.0 1 4 4
53.5 1 2 2
53.0 2
52.5 4 4
52.0 2 5 1
51.5 1 1 3
51.0 1 2 1
50.5 7 2
50.0 1 1 1
49.0 1 1 1
48.5 4
48.0 1 7 2
47.5 2
47.0 1 2
46.0 2
45.5 1 2 1
45.0 1
44.5 3 2
44.0 4
43.5 1 1
43.0 2 1
42.0 1 3
41.5 1 1
41.0 1
40.0 1 1
38.5 2
38.0 1
37.0 2 1
36.0 1 4
35.0 1
33.0 1
32.5 1
32.0 1
30.0 1 1
24.5 1
24.0 1
17.0 1
16.0 1
American Mathematics Competitions
2006 AMC 12 A Results for Arizona
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 9.94* 0.01 0.01 0.02 0.00 0.02 0.00
2 1.17 0.17 3.99* 0.12 1.22 3.33 0.00
3 0.08 8.47* 0.02 0.06 1.29 0.09 0.00
4 2.08 0.14 0.11 0.12 7.05* 0.51 0.00
5 0.25 1.03 1.16 7.22* 0.14 0.21 0.00
6 7.35* 0.12 0.38 0.30 0.23 1.62 0.00
7 0.69 4.74* 0.86 0.64 0.44 2.63 0.01
8 1.10 1.28 6.07* 0.25 0.20 1.11 0.00
9 7.67* 0.30 0.14 0.08 0.32 1.50 0.00
10 0.28 0.21 0.73 3.28 1.62* 3.88 0.00
11 1.84 0.99 2.08* 1.29 0.60 3.21 0.00
12 1.38 4.82* 0.30 0.74 0.54 2.21 0.00
13 0.69 0.16 0.28 0.20 5.20* 3.46 0.00
14 0.08 0.61 4.29* 2.81 0.61 1.60 0.00
15 3.07* 1.42 0.46 0.51 1.55 2.98 0.00
16 0.45 3.28* 0.19 0.30 0.68 5.10 0.00
17 0.35 0.49* 0.61 0.41 0.11 8.03 0.00
18 1.29 0.15 0.45 0.62 0.37* 7.12 0.00
19 0.14 0.28 0.25 0.20 0.24* 8.90 0.00
20 1.69 0.56 0.53* 0.36 0.18 6.67 0.00
21 0.12 0.20 0.53 0.20 0.12* 8.83 0.00
22 0.25 0.23 0.24 0.18* 0.06 9.05 0.00
23 0.18 0.13* 0.19 0.12 0.22 9.16 0.00
24 1.29 0.19 0.24 0.29* 0.15 7.84 0.00
25 0.17 0.20 0.25 0.19 0.10* 9.08 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 Arizona
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 99.0
148.5 123.5 98.5
148.0 123.0 98.0
147.5 122.5 97.5
147.0 122.0 1 97.0 1
146.5 121.5 96.5
146.0 121.0 96.0 1 1
145.5 120.5 95.5 2
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
143.0 118.0 93.0
142.5 117.5 92.5 1
142.0 117.0 92.0 1
141.5 116.5 91.5 1
141.0 116.0 91.0
140.5 115.5 90.5
140.0 115.0 90.0
139.5 114.5 89.5 2
139.0 114.0 89.0
138.5 113.5 88.5 1
138.0 113.0 88.0 1 1
137.5 112.5 87.5 1 1
137.0 112.0 87.0
136.5 111.5 86.5 1
136.0 111.0 86.0 1 1
135.5 110.5 85.5
135.0 110.0 85.0
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 1
132.5 107.5 2 82.5
132.0 107.0 82.0
131.5 106.5 81.5
131.0 106.0 81.0
130.5 105.5 80.5
130.0 105.0 80.0 2
129.5 104.5 79.5 1 1
129.0 104.0 79.0
128.5 103.5 78.5 2
128.0 103.0 1 78.0
127.5 102.5 77.5
127.0 102.0 1 77.0 1
126.5 101.5 76.5 1
126.0 101.0 76.0
125.5 100.5 1 1 75.5 1
American Mathematics Competitions
2006 AMC 10 B Results for Arizona
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 24.5
74.0 49.0 24.0 1
73.5 48.5 23.5
73.0 1 48.0 1 23.0
72.5 47.5 22.5
72.0 47.0 22.0
71.5 1 46.5 21.5
71.0 46.0 21.0
70.5 1 1 45.5 1 20.5
70.0 1 1 45.0 20.0
69.5 44.5 19.5
69.0 44.0 1 19.0
68.5 1 2 43.5 18.5
68.0 1 2 43.0 18.0
67.5 1 42.5 17.5
67.0 42.0 17.0
66.5 2 41.5 16.5
66.0 1 2 41.0 16.0
65.5 40.5 15.5
65.0 1 40.0 1 15.0
64.5 1 39.5 14.5
64.0 39.0 2 14.0
63.5 1 38.5 13.5
63.0 38.0 13.0
62.5 37.5 12.5
62.0 1 37.0 1 12.0 1
61.5 36.5 11.5
61.0 36.0 1 1 11.0
60.5 35.5 10.5
60.0 1 35.0 10.0
59.5 34.5 9.5
59.0 34.0 9.0
58.5 2 2 33.5 8.5
58.0 1 33.0 8.0
57.5 2 32.5 7.5
57.0 1 1 32.0 7.0
56.5 1 31.5 6.5
56.0 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 2 5.0
54.5 1 29.5 4.5
54.0 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 1 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Arizona
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
122.0 1
107.5 1 1
103.0 1
102.0 1
100.5 2
97.0 1
96.0 1 1
95.5 1 1
94.5 1
92.5 1
92.0 1
91.5 1
89.5 1 1
88.5 1
88.0 1 1
87.5 1 1
86.5 1
86.0 1 1
84.0 1
83.5 1
83.0 1
80.0 1 1
79.5 2
78.5 1 1
77.0 2
76.5 1
75.5 1
74.5 1 1
73.0 1
71.5 1
70.5 1 1
70.0 2
68.5 2 1
68.0 1 2
67.5 1
66.5 2
66.0 1 2
65.0 1
64.5 1
63.5 1
62.0 1
60.0 1
58.5 1 1 2
58.0 1
57.5 2
57.0 1 1
56.5 1
55.0 1
54.5 1
52.5 1
51.0 1
50.5 1
48.0 1
45.5 1
44.0 1
40.0 1
39.0 1 1
37.0 1
36.0 1 1
30.0 1 1
24.0 1
12.0 1
American Mathematics Competitions
2006 AMC 10 B Results for Arizona
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 0.76 0.43 7.07* 0.98 0.76 0.00 0.00
2 6.74* 0.98 0.11 0.00 0.33 1.85 0.00
3 8.59* 0.22 0.00 0.87 0.22 0.11 0.00
4 1.85 0.87 0.11 4.57* 2.39 0.22 0.00
5 1.30 5.22* 1.85 0.43 0.11 1.09 0.00
6 0.33 0.22 3.48 4.13* 0.22 1.63 0.00
7 2.39* 1.63 2.17 1.30 0.65 1.85 0.00
8 1.85 1.41* 0.65 0.98 1.09 4.02 0.00
9 0.22 8.59* 0.00 0.00 0.65 0.54 0.00
10 1.41* 0.11 1.96 0.11 3.59 2.83 0.00
11 0.54 0.33 4.46* 0.54 0.43 3.70 0.00
12 0.11 0.54 0.54 0.65 5.43* 2.72 0.00
13 0.76 0.33 2.28 0.76 2.61* 3.26 0.00
14 0.33 0.43 0.43 1.30* 0.00 7.50 0.00
15 1.09 0.65 0.87* 0.43 0.65 6.30 0.00
16 2.28 0.43 1.85 1.09 1.96* 2.39 0.00
17 2.17 0.87 1.20 3.70* 0.11 1.96 0.00
18 0.76 0.43 0.98 0.33 0.98* 6.52 0.00
19 0.76* 0.43 0.22 0.11 0.43 8.04 0.00
20 0.43 0.33 0.11 1.20 0.76* 7.17 0.00
21 0.54 0.65 0.33* 1.63 0.65 6.20 0.00
22 0.33 0.76 1.85 0.98* 0.33 5.76 0.00
23 0.11 0.43 0.54 0.33* 0.33 8.15 0.11
24 0.11 0.98* 0.98 0.11 0.43 7.39 0.00
25 0.22 2.39* 0.33 1.85 0.76 4.46 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 Arizona
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 1
149.0 124.0 99.0
148.5 123.5 98.5 6 2
148.0 123.0 1 98.0
147.5 122.5 97.5 4 1
147.0 122.0 1 97.0 1
146.5 121.5 96.5
146.0 121.0 96.0 2 1
145.5 120.5 95.5
145.0 120.0 95.0 5 2
144.5 119.5 1 94.5 1
144.0 119.0 94.0
143.5 118.5 1 1 93.5
143.0 118.0 93.0
142.5 117.5 92.5 7
142.0 117.0 92.0 1
141.5 116.5 91.5 2 1
141.0 116.0 91.0 2
140.5 115.5 90.5 1
140.0 115.0 2 90.0 1
139.5 1 114.5 89.5
139.0 114.0 89.0 6 3
138.5 113.5 88.5 1
138.0 113.0 88.0 2 1
137.5 112.5 3 1 87.5 2
137.0 112.0 87.0 1
136.5 111.5 2 1 86.5 1
136.0 111.0 86.0
135.5 110.5 85.5 2
135.0 110.0 1 85.0 1 1
134.5 109.5 84.5
134.0 109.0 84.0 1 2
133.5 108.5 1 83.5 1
133.0 108.0 4 83.0 2 1
132.5 107.5 82.5 1
132.0 107.0 82.0 1 1
131.5 106.5 81.5
131.0 106.0 81.0 1
130.5 105.5 2 80.5 2 1
130.0 105.0 80.0
129.5 104.5 79.5 1
129.0 104.0 79.0
128.5 103.5 78.5 1 1
128.0 103.0 2 1 78.0 1 2
127.5 102.5 77.5
127.0 102.0 5 77.0
126.5 101.5 76.5 1
126.0 101.0 4 1 76.0 2
125.5 100.5 1 75.5
American Mathematics Competitions
2006 AMC 12 B Results for Arizona
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 24.5
74.0 1 49.0 24.0
73.5 1 1 48.5 23.5
73.0 48.0 2 1 23.0
72.5 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 1 45.5 1 20.5
70.0 45.0 20.0
69.5 1 44.5 19.5
69.0 44.0 19.0
68.5 2 43.5 18.5
68.0 43.0 18.0
67.5 2 42.5 17.5
67.0 42.0 17.0
66.5 1 2 41.5 16.5
66.0 41.0 16.0
65.5 40.5 15.5
65.0 40.0 15.0
64.5 39.5 1 14.5
64.0 1 39.0 14.0
63.5 1 38.5 13.5
63.0 1 38.0 13.0
62.5 37.5 12.5
62.0 37.0 12.0
61.5 36.5 11.5
61.0 36.0 11.0
60.5 35.5 10.5
60.0 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 1 1 33.0 8.0
57.5 1 32.5 7.5
57.0 32.0 7.0
56.5 1 31.5 6.5
56.0 31.0 6.0
55.5 30.5 5.5
55.0 30.0 5.0
54.5 29.5 4.5
54.0 1 1 29.0 4.0
53.5 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 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Arizona
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
139.5 1
123.0 1 1
122.0 1
119.5 1 1
118.5 2
115.0 1 1
112.5 1 2 1
111.5 1 1 1
110.0 1
108.5 1
108.0 4
106.5 1
105.5 1 1 1
103.0 1 2
102.0 2 1 2
101.0 2 3
100.5 1
99.5 1 4
98.5 2 7
98.0 1
97.5 1 1 3
97.0 1
96.0 1 2
95.0 3 4
94.5 1
92.5 1 7
92.0 1
91.5 2 1
91.0 1 1
90.5 1
90.0 1
89.0 8 1 1
88.5 1
88.0 1 2
87.5 1 1
87.0 1
86.5 1
85.5 1 1
85.0 1 1
84.0 1 2
83.5 1
83.0 1 2
82.5 1
82.0 1 1
81.0 1
80.5 1 2
79.5 1
79.0 1
78.5 1 1
78.0 2 1
76.5 1
76.0 1 1
74.5 2
74.0 1
73.5 1 1
72.0 1 1
71.0 1 1
70.5 1
69.5 1
68.5 1 1
67.5 1 1
66.5 1 1 1 1
64.0 2
63.5 1
63.0 1
59.5 1
59.0 1
58.5 1
58.0 1 1
57.5 1
56.5 1
54.0 2
53.0 1
48.0 1 2
45.5 1
39.5 1
American Mathematics Competitions
2006 AMC 12 B Results for Arizona
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 0.17 0.46 8.50* 0.52 0.23 0.12 0.00
2 8.32* 0.35 0.00 0.12 0.23 0.98 0.00
3 8.61* 0.12 0.00 0.81 0.40 0.06 0.00
4 9.36* 0.12 0.06 0.23 0.12 0.12 0.00
5 8.09* 0.64 0.12 0.23 0.00 0.92 0.00
6 0.06 9.19* 0.17 0.17 0.17 0.23 0.00
7 0.58 8.38* 0.40 0.23 0.12 0.29 0.00
8 0.17 0.23 0.23 0.35 7.40* 1.62 0.00
9 0.35 5.14* 0.23 0.87 0.29 3.12 0.00
10 3.58* 0.52 1.10 0.17 2.25 2.37 0.00
11 0.64 0.29 0.92 0.75 5.43* 1.97 0.00
12 0.69 0.69 0.35 1.45* 0.58 6.24 0.00
13 0.46 0.46 3.12* 0.12 0.35 5.49 0.00
14 0.17 0.12 1.39 2.49* 0.06 5.78 0.00
15 0.12 2.20* 0.81 0.17 0.23 6.47 0.00
16 0.23 0.23 0.98* 0.17 0.12 8.27 0.00
17 0.29 0.12 1.50* 1.27 0.29 6.53 0.00
18 0.69 0.87* 1.04 0.12 0.12 7.17 0.00
19 0.17 1.79* 0.06 0.87 0.23 6.88 0.00
20 0.12 0.29 0.35* 0.06 0.17 9.02 0.00
21 0.12 0.00 0.06* 0.12 0.23 9.48 0.00
22 0.12 0.23* 0.06 0.06 0.12 9.42 0.00
23 0.23 0.12 0.12 0.23 0.00* 9.31 0.00
24 0.00 0.12 0.06* 0.12 0.00 9.71 0.00
25 0.00 0.17* 0.12 0.23 0.12 9.36 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column