American Mathematics Competitions
2005 AMC 10 A Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 786
Number of unofficial participants: 0
Average score of participants: 69.7
Average score for female students is: 67.7 ( 353 Students)
Average score for male students is: 72.1 ( 369 Students)
Average score for unspecified gender is 66.5 ( 64 Students)
Average score for grade 10 is: 70.9 ( 418 Students)
Average score for grade 9 is: 68.3 ( 302 Students)
Average score for grade 8 and below is: 66.7 ( 29 Students)
Average score with unknown grade: 69.1 ( 37 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 2
Number of schools returning results 28
Average school winning score 97.57
American Mathematics Competitions
2005 AMC 12 A Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1376
Number of unofficial participants: 0
Average score of participants: 74.8
Average score for female students is: 71.3 ( 488 Students)
Average score for male students is: 77.7 ( 662 Students)
Average score for unspecified gender is 74.0 ( 226 Students)
Average score for grade 13 is: 76.5 ( 1 Student)
Average score for grade 12 is: 76.2 ( 479 Students)
Average score for grade 11 is: 74.1 ( 592 Students)
Average score for grade 10 is: 73.4 ( 104 Students)
Average score for grade 9 is: 73.7 ( 19 Students)
Average score with unknown grade: 74.6 ( 181 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 91
Number of schools returning results 31
Average school winning score 102.42
Average school team score 290.53
American Mathematics Competitions
2005 AMC 10 B Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 154
Number of unofficial participants: 0
Average score of participants: 73.3
Average score for female students is: 70.8 ( 55 Students)
Average score for male students is: 77.0 ( 58 Students)
Average score for unspecified gender is 71.2 ( 41 Students)
Average score for grade 10 is: 77.6 ( 58 Students)
Average score for grade 9 is: 70.3 ( 64 Students)
Average score for grade 8 and below is: 88.5 ( 1 Student)
Average score with unknown grade: 70.7 ( 31 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 1
Number of schools returning results 8
Average school winning score 102.13
American Mathematics Competitions
2005 AMC 12 B Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 384
Number of unofficial participants: 0
Average score of participants: 85.1
Average score for female students is: 83.4 ( 141 Students)
Average score for male students is: 87.5 ( 211 Students)
Average score for unspecified gender is 76.2 ( 32 Students)
Average score for grade 12 is: 89.5 ( 99 Students)
Average score for grade 11 is: 84.3 ( 150 Students)
Average score for grade 10 is: 87.0 ( 51 Students)
Average score for grade 9 is: 81.2 ( 51 Students)
Average score for grade 8 and below is: 78.4 ( 15 Students)
Average score with unknown grade: 77.8 ( 18 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 43
Number of schools returning results 10
Average school winning score 106.45
Average school team score 300.35
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
379.5 1 1
368.5 1 2
342.5 1 3
341.5 1 4
338.0 1 5
336.5 1 6
329.5 1 7
327.5 1 8
325.5 1 9
323.5 1 10
322.5 1 11
320.0 1 12
316.0 1 13
314.0 1 14
308.5 1 15
305.5 1 16
305.0 1 17
304.5 1 18
303.5 1 19
302.5 1 20
299.0 1 21
298.0 2 22
297.5 1 1 24
296.5 1 26
290.5 1 27
290.0 1 28
281.5 1 29
281.0 1 30
280.0 1 31
257.5 1 32
254.0 1 33
252.0 1 1 34
251.0 1 36
244.5 1 37
238.5 1 38
208.0 1 39
207.0 1 40
121.5 1 41
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
134.5 1
133.5 1
131.0 1
127.5 1
124.0 1 1
123.0 1
121.5 1
119.5 1
118.5 1
118.0 1
117.0 1 2
116.0 1
115.0 3 3
114.5 1
113.5 2 1 1
112.5 2 1
111.5 4 1 1
111.0 1 1 1
110.5 1
110.0 1 2
109.0 2 2
108.0 8 6
107.5 3 1
106.5 3 4
105.5 7 3
105.0 1 2 2
104.5 5 5
104.0 1 2 1 1
103.5 1 1
103.0 5 2
102.0 16 8 2
101.5 2 2 2 1
101.0 15 7 1
100.5 2 3
99.5 12 7 4
99.0 1 1
98.5 13 9 2
98.0 1
97.5 5 3 2
97.0 7 3 5
96.5 2 2
96.0 7 12 5 1
95.5 1 1
95.0 18 20 2
94.5 4 1 3
94.0 9 2 1
93.5 7 4 5 1
93.0 1 1
92.5 20 12 7
92.0 2 2
91.5 24 7 4 1
91.0 6 2 5 1
90.5 8 7 1
90.0 20 11 8
89.5 3 4 2
89.0 20 17 7 1
88.5 2 1 8 2
88.0 20 13 9
87.5 12 4 6 3
87.0 10 3 1 1
86.5 14 6 6 3
86.0 4 1 3 1
85.5 21 11 8 1
85.0 8 3 5 3
84.5 18 10 11 2
84.0 7 7 16 4
83.5 10 4 5
83.0 29 13 10 3
82.5 3 1 2 1
82.0 30 12 6 3
81.5 11 4 7 1
81.0 20 7 7 1
80.5 19 7 4 1
80.0 12 2 4 2
79.5 21 4 12 1
79.0 8 2 2 2
78.5 23 4 12 1
78.0 20 4 9 2
77.5 22 5 10 2
77.0 25 10 15 1
76.5 8 5 3
76.0 27 4 10 1
75.5 14 3 2 1
75.0 14 4 6
74.5 11 5 7 2
74.0 18 1 8 4
73.5 18 7 9
73.0 9 2 1
72.5 15 11
72.0 11 2 14 1
71.5 18 5 11
71.0 22 3 16 4
70.5 15 3 6 2
70.0 22 1 11 4
69.5 6 3 7 2
69.0 21 3 14 3
68.5 22 7 3
68.0 22 3 10 3
67.5 13 2 6 1
67.0 13 2 7
66.5 22 2 10
66.0 9 1 13 4
65.5 11 14 1
65.0 12 10
64.5 8 9 1
64.0 15 1 11 1
63.5 6 9 5
63.0 12 2 10 2
62.5 15 2 9 4
62.0 16 6 4
61.5 20 2 10
61.0 8 2 10 2
60.5 14 2 5 1
60.0 12 3 10 2
59.5 4 2 5 3
59.0 10 10 2
58.5 3 1 4 3
58.0 11 1 3 2
57.5 4 3 5 2
57.0 7 9 2
56.5 11 9 3
56.0 5 5 1
55.5 6 3 4
55.0 8 4
54.5 4 4 1
54.0 14 12 1
53.5 5 1 6 1
53.0 1 7 1
52.5 3 3 2
52.0 8 5
51.5 5 2
51.0 3 1 6 1
50.5 6 9 1
50.0 3 5
49.5 2 2
49.0 7 2 1
48.5 4 2
48.0 13 1 11
47.5 5 2
47.0 2 2 3
46.5 1
46.0 4 1
45.5 5 3
45.0 2 1
44.5 4 6 1
44.0 5 2
43.5 2 1
43.0 2 1
42.5 2 2
42.0 13 8
41.5 3 1 1
41.0 4
40.5 1
40.0 2 3
39.5 2
39.0 1 2
38.5 2 1
38.0 3 1
37.5 1 1
37.0 2
36.5 1 1
36.0 5 1 6
35.5 1
35.0 1
34.0 2
33.0 2
32.0 2
31.5 1
30.5 1 1
30.0 3 6
29.0 1
27.0 1
26.5 1
25.5 1
24.0 2 2
22.0 1
21.0 1
20.5 1 1
18.0 1 2
12.0 1
American Mathematics Competitions
2005 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
149.5 124.5 99.5 3 1
149.0 124.0 99.0 1
148.5 123.5 98.5 1 1
148.0 123.0 98.0 1
147.5 122.5 97.5 1 1
147.0 122.0 97.0 2 3
146.5 121.5 1 96.5
146.0 121.0 96.0 3 2
145.5 120.5 95.5 1
145.0 120.0 95.0 1 1
144.5 119.5 1 94.5 3
144.0 119.0 94.0 1
143.5 118.5 93.5 3 2
143.0 118.0 1 93.0
142.5 117.5 92.5 3 3
142.0 117.0 2 92.0
141.5 116.5 91.5 2 2
141.0 116.0 1 91.0 4 1
140.5 115.5 90.5 1
140.0 115.0 90.0 6 1
139.5 114.5 89.5 2 2
139.0 114.0 89.0 4 3
138.5 113.5 1 88.5 4 4
138.0 113.0 88.0 4 5
137.5 112.5 87.5 5 1
137.0 112.0 87.0 1
136.5 111.5 1 86.5 5
136.0 111.0 1 86.0 2 1
135.5 110.5 1 85.5 3 3
135.0 110.0 85.0 2 3
134.5 1 109.5 84.5 4 6
134.0 109.0 84.0 11 5
133.5 108.5 83.5 2 3
133.0 108.0 83.0 8 2
132.5 107.5 82.5 2
132.0 107.0 82.0 3 2
131.5 106.5 3 1 81.5 5 2
131.0 106.0 81.0 3 4
130.5 105.5 2 1 80.5 3 1
130.0 105.0 1 1 80.0 1 2
129.5 104.5 79.5 8 3
129.0 104.0 1 79.0 1 1
128.5 103.5 1 78.5 4 5
128.0 103.0 78.0 4 4
127.5 102.5 77.5 7 3
127.0 102.0 1 1 77.0 7 6
126.5 101.5 1 1 76.5 4 1
126.0 101.0 76.0 6 4
125.5 100.5 1 1 75.5 2
American Mathematics Competitions
2005 AMC 10 A Results for Arizona
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 3 50.0 2 3 25.0
74.5 4 3 49.5 2 24.5
74.0 5 2 49.0 2 24.0 1 1
73.5 8 48.5 2 23.5
73.0 1 48.0 5 5 23.0
72.5 6 4 47.5 2 22.5
72.0 10 3 47.0 3 22.0
71.5 5 3 46.5 1 21.5
71.0 5 6 46.0 1 21.0 1
70.5 1 4 45.5 1 1 20.5 1
70.0 4 7 45.0 1 20.0
69.5 2 5 44.5 1 4 19.5
69.0 5 8 44.0 2 19.0
68.5 2 4 43.5 1 18.5
68.0 5 1 43.0 1 18.0 1 1
67.5 3 3 42.5 1 17.5
67.0 1 5 42.0 2 4 17.0
66.5 6 3 41.5 1 16.5
66.0 4 9 41.0 3 1 16.0
65.5 2 8 40.5 15.5
65.0 4 6 40.0 2 1 15.0
64.5 4 3 39.5 14.5
64.0 6 4 39.0 2 14.0
63.5 5 4 38.5 1 13.5
63.0 4 5 38.0 1 13.0
62.5 3 5 37.5 1 12.5
62.0 3 2 37.0 12.0 1
61.5 5 5 36.5 1 11.5
61.0 2 7 36.0 4 2 11.0
60.5 3 2 35.5 1 10.5
60.0 9 1 35.0 1 10.0
59.5 4 1 34.5 9.5
59.0 3 6 34.0 9.0
58.5 1 3 33.5 8.5
58.0 3 33.0 1 1 8.0
57.5 1 4 32.5 7.5
57.0 1 7 32.0 7.0
56.5 3 5 31.5 1 6.5
56.0 3 2 31.0 6.0
55.5 2 2 30.5 1 5.5
55.0 2 2 30.0 1 5 5.0
54.5 4 29.5 4.5
54.0 9 2 29.0 1 4.0
53.5 2 4 28.5 3.5
53.0 3 4 28.0 3.0
52.5 2 1 27.5 2.5
52.0 1 4 27.0 2.0
51.5 2 26.5 1.5
51.0 2 3 26.0 1.0
50.5 1 5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Arizona
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
134.5 1
121.5 1
119.5 1
118.0 1
117.0 2
116.0 1
113.5 1
111.5 1
111.0 1
110.5 1
106.5 4
105.5 1 2
105.0 2
104.0 1
103.5 1
102.0 2
101.5 1 1
100.5 2 1
99.5 2 2
99.0 1
98.5 1 1
98.0 1
97.5 1 1
97.0 3 2
96.0 2 3
95.5 1
95.0 1 1
94.5 1 2
94.0 1
93.5 2 3
92.5 2 5
91.5 4
91.0 4 1
90.5 1
90.0 1 2 4 1
89.5 4
89.0 1 1 5
88.5 3 5
88.0 6 3
87.5 1 4 1
87.0 1
86.5 3 3
86.0 1 2
85.5 1 5 2
85.0 5
84.5 1 3 7
84.0 1 2 13
83.5 4 1
83.0 3 7
82.5 2
82.0 2 4
81.5 3 4
81.0 6 1
80.5 2 2
80.0 1 3
79.5 7 5
79.0 2
78.5 3 6 3
78.0 2 7
77.5 3 7
77.0 7 7 1
76.5 1 4
76.0 1 7 2
75.5 1 1
75.0 3 3
74.5 1 3 3
74.0 4 3 1
73.5 3 5 1
73.0 1
72.5 6 4 1
72.0 5 9
71.5 1 4 4 2
71.0 9 5 2
70.5 1 4 1
70.0 1 2 8
69.5 1 2 4
69.0 1 4 9
68.5 3 4
68.0 4 2 4
67.5 5 1
67.0 1 2 4
66.5 2 3 4 1
66.0 8 5
65.5 1 4 6 3
65.0 1 6 3
64.5 7 2
64.0 8 2 1
63.5 6 3
63.0 3 7
62.5 1 2 5 1
62.0 4 2
61.5 1 4 5
61.0 4 5 1
60.5 1 4
60.0 3 7
59.5 1 4
59.0 1 3 6
58.5 2 2
58.0 2 1
57.5 1 1 3
57.0 6 2 1
56.5 1 4 3 1
56.0 3 2
55.5 1 1 1 1
55.0 1 3
54.5 4
54.0 7 4 1
53.5 1 5
53.0 4 3
52.5 1 2
52.0 4 1
51.5 2
51.0 1 1 3 1
50.5 5 4
50.0 1 4
49.5 2
49.0 1 1
48.5 1 1
48.0 4 6 1
47.5 1 1
47.0 1 1 1
46.5 1
46.0 1
45.5 3
45.0 1
44.5 4 2
44.0 2
43.5 1
43.0 1
42.5 1 1
42.0 5 3
41.5 1
41.0 1 2 1
40.0 3
39.0 2
38.5 1
38.0 1
37.5 1
36.5 1
36.0 1 1 4
35.5 1
35.0 1
33.0 2
31.5 1
30.5 1
30.0 3 3
29.0 1
26.5 1
25.5 1
24.0 1 1
21.0 1
20.5 1
18.0 1 1
12.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Arizona
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 0.34 0.05 0.23 8.54* 0.61 0.23 0.00
2 0.27 0.23 4.90* 0.05 1.73 2.82 0.00
3 0.04 8.96* 0.24 0.37 0.13 0.27 0.00
4 0.64 1.40* 2.32 0.62 0.61 4.41 0.00
5 5.24* 0.52 3.96 0.06 0.06 0.15 0.00
6 0.27 4.36* 3.69 0.09 0.10 1.49 0.00
7 1.02 3.23* 0.31 0.46 0.79 4.20 0.00
8 1.22 0.39 3.85* 0.11 0.20 4.21 0.00
9 1.17 5.42* 1.12 0.27 0.11 1.91 0.00
10 1.28* 0.52 0.93 0.70 0.20 6.36 0.00
11 0.59 1.98* 0.25 0.89 0.13 6.16 0.00
12 0.36 0.99* 0.53 0.19 0.88 7.05 0.00
13 1.45 0.75 0.46 0.43 0.64* 6.27 0.00
14 0.70 0.64 0.43 0.61 2.25* 5.37 0.00
15 0.62 0.89 0.71 1.12 0.87* 5.79 0.00
16 1.13 0.60 0.79 1.63* 0.13 5.73 0.00
17 0.41 0.34 0.66 1.81* 0.55 6.23 0.00
18 1.45* 1.84 1.06 3.31 0.33 2.01 0.00
19 0.67 0.71 0.81 3.30* 0.66 3.84 0.00
20 0.36* 0.51 0.97 0.36 0.37 7.44 0.00
21 1.70 0.56* 0.24 0.45 0.41 6.64 0.00
22 0.59 0.50 0.39 2.25* 0.59 5.69 0.00
23 0.27 0.55 1.36* 0.73 0.69 6.40 0.01
24 1.11 0.76* 0.28 0.33 0.10 7.42 0.00
25 0.34 0.95 0.83 0.81* 0.19 6.87 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 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 7
149.0 124.0 1 99.0
148.5 123.5 98.5 9 3
148.0 123.0 98.0
147.5 122.5 97.5 3 2
147.0 122.0 97.0 3 1
146.5 121.5 96.5 2
146.0 121.0 96.0 5 1
145.5 120.5 95.5 1
145.0 120.0 95.0 10 4
144.5 119.5 94.5 3 1
144.0 119.0 94.0 5 4
143.5 118.5 93.5 6
143.0 118.0 93.0
142.5 117.5 92.5 13 4
142.0 117.0 1 92.0 2
141.5 116.5 91.5 12 8
141.0 116.0 91.0 5 1
140.5 115.5 90.5 3 3
140.0 115.0 2 1 90.0 13 4
139.5 114.5 1 89.5 2
139.0 114.0 89.0 11 7
138.5 113.5 2 88.5 2
138.0 113.0 88.0 10 8
137.5 112.5 2 87.5 7 5
137.0 112.0 87.0 4 3
136.5 111.5 3 86.5 9 5
136.0 111.0 1 86.0 2 2
135.5 110.5 85.5 9 9
135.0 110.0 1 85.0 2 6
134.5 109.5 84.5 7 5
134.0 109.0 1 84.0 3 3
133.5 1 108.5 83.5 3 3
133.0 108.0 7 1 83.0 18 7
132.5 107.5 3 82.5 2 1
132.0 107.0 82.0 11 12
131.5 106.5 3 81.5 6 3
131.0 1 106.0 81.0 6 7
130.5 105.5 7 80.5 13 4
130.0 105.0 1 80.0 2 2
129.5 104.5 3 79.5 9 10
129.0 104.0 1 79.0 7 1
128.5 103.5 1 78.5 12 6
128.0 103.0 1 4 78.0 9 11
127.5 1 102.5 77.5 7 5
127.0 102.0 13 3 77.0 15 8
126.5 101.5 2 76.5 6 1
126.0 101.0 10 4 76.0 16 8
125.5 100.5 2 75.5 8 6
American Mathematics Competitions
2005 AMC 12 A Results for Arizona
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 5 5 50.0 3 25.0
74.5 6 3 49.5 1 24.5
74.0 4 8 49.0 2 4 24.0 2
73.5 7 10 48.5 3 23.5
73.0 5 3 48.0 8 4 23.0
72.5 5 8 47.5 1 3 22.5
72.0 6 3 47.0 1 1 22.0
71.5 7 6 46.5 21.5
71.0 8 11 46.0 2 2 21.0
70.5 6 4 45.5 2 2 20.5 1
70.0 10 10 45.0 2 20.0
69.5 2 4 44.5 1 3 19.5
69.0 6 7 44.0 1 4 19.0
68.5 10 9 43.5 1 18.5
68.0 10 4 43.0 1 1 18.0 1
67.5 6 4 42.5 1 1 17.5
67.0 6 5 42.0 6 7 17.0
66.5 11 9 41.5 1 2 16.5
66.0 3 3 41.0 16.0
65.5 6 3 40.5 15.5
65.0 6 4 40.0 2 15.0
64.5 2 4 39.5 2 14.5
64.0 7 7 39.0 1 14.0
63.5 2 3 38.5 2 13.5
63.0 1 8 38.0 2 13.0
62.5 8 4 37.5 12.5
62.0 3 4 37.0 2 12.0
61.5 7 10 36.5 1 11.5
61.0 4 4 36.0 2 1 11.0
60.5 6 2 35.5 10.5
60.0 3 7 35.0 10.0
59.5 2 2 34.5 9.5
59.0 5 4 34.0 2 9.0
58.5 1 1 33.5 8.5
58.0 4 6 33.0 8.0
57.5 3 1 32.5 7.5
57.0 2 5 32.0 2 7.0
56.5 4 6 31.5 6.5
56.0 1 31.0 6.0
55.5 2 3 30.5 1 5.5
55.0 2 6 30.0 1 2 5.0
54.5 2 1 29.5 4.5
54.0 8 5 29.0 4.0
53.5 2 3 28.5 3.5
53.0 1 28.0 3.0
52.5 2 1 27.5 2.5
52.0 3 3 27.0 1 2.0
51.5 1 4 26.5 1.5
51.0 2 26.0 1.0
50.5 3 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Arizona
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
133.5 1
131.0 1
127.5 1
124.0 1
118.5 1
117.0 1
115.0 2 1
114.5 1
113.5 1 1
112.5 2
111.5 2 2
111.0 1
110.0 1
109.0 1 1
108.0 1 7
107.5 2 1
106.5 1 2
105.5 1 5 1
105.0 1
104.5 1 2 1 1
104.0 1
103.5 1
103.0 2 3
102.0 2 7 7
101.5 1 1
101.0 1 4 9 1
100.5 1 1
99.5 1 6 4 1
98.5 1 6 6
97.5 1 2 2
97.0 3 2 2
96.5 1 1
96.0 2 4 1
95.5 1
95.0 1 7 6 4
94.5 2 2
94.0 1 5 3
93.5 3 3 1
93.0 1
92.5 1 1 9 6 3
92.0 2
91.5 3 9 8 4
91.0 3 3
90.5 3 3 2
90.0 2 10 6 2
89.5 1 1 1
89.0 2 5 12 1
88.5 1 1
88.0 13 5 2
87.5 1 8 3
87.0 3 4 3
86.5 1 5 8
86.0 1 3
85.5 1 11 7 2
85.0 2 4 2
84.5 1 6 5 6
84.0 5 2
83.5 2 2 3 3
83.0 4 10 11 4
82.5 1 2
82.0 1 2 14 6 7
81.5 1 4 5 1
81.0 1 6 6 7
80.5 1 10 6 2
80.0 1 1 2 8
79.5 2 1 7 9 2
79.0 4 4
78.5 1 10 9 3
78.0 1 1 11 7
77.5 2 5 5 10
77.0 1 13 11
76.5 1 5 1 1
76.0 2 12 10 3
75.5 5 5 4
75.0 5 5 4
74.5 8 1 2
74.0 6 5 7
73.5 1 10 6 1
73.0 1 2 6
72.5 2 3 8 2
72.0 2 3 5 1
71.5 1 8 4 5
71.0 2 2 8 8 2
70.5 1 5 5 4
70.0 3 8 9 2
69.5 2 4
69.0 1 9 4 7
68.5 1 10 8 3
68.0 1 7 6 8
67.5 7 3 3
67.0 1 1 7 3 1
66.5 1 9 10 2
66.0 1 5 3
65.5 3 4 2 2
65.0 3 7 2
64.5 2 3 2 1
64.0 2 9 3 1
63.5 1 3 1 1
63.0 5 5 2
62.5 7 5 3
62.0 3 4 9
61.5 10 8 2
61.0 5 3
60.5 2 3 5 4
60.0 1 7 2 2
59.5 3 1
59.0 1 3 5 1
58.5 1 1 1
58.0 2 5 4
57.5 2 2
57.0 4 3
56.5 1 5 5
56.0 2 1 2
55.5 2 1 2 1
55.0 5 3
54.5 1 1 2
54.0 1 11 2
53.5 2 3
53.0 1
52.5 1 1 1
52.0 2 3 2 1
51.5 1 3 1
51.0 1 2
50.5 1 3 2
50.0 2 1
49.5 1 1
49.0 1 1 4 1
48.5 1 3
48.0 3 9 1
47.5 3 2
47.0 2
46.0 2 1 1
45.5 1 1 2 1
45.0 1 1
44.5 2 2
44.0 1 4
43.5 1 1
43.0 1 1
42.5 2
42.0 1 6 6
41.5 1 1 1
40.0 1 1
39.5 1 1
39.0 1
38.5 1 1
38.0 1 1 1
37.0 2
36.5 1
36.0 1 3 1
34.0 2
32.0 1 1
30.5 1
30.0 2 1
27.0 1
24.0 1 1
22.0 1
20.5 1
18.0 1
American Mathematics Competitions
2005 AMC 12 A Results for Arizona
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 0.11 0.09 0.15 9.33* 0.17 0.15 0.00
2 0.02 9.36* 0.24 0.20 0.04 0.14 0.00
3 0.31 3.50* 1.53 0.55 0.63 3.48 0.00
4 6.33* 0.36 3.06 0.07 0.06 0.12 0.00
5 0.33 6.14* 2.28 0.16 0.09 0.99 0.00
6 0.68 4.76* 0.32 0.35 0.82 3.05 0.02
7 0.76 0.31 6.32* 0.09 0.10 2.42 0.00
8 0.37 0.53 0.42 1.77* 0.25 6.65 0.01
9 2.91* 0.43 0.92 0.33 0.25 5.16 0.00
10 0.40 2.51* 0.20 0.60 0.15 6.14 0.01
11 0.86 0.43 0.44 0.45 2.99* 4.82 0.00
12 1.08 0.36 0.31 3.05* 1.20 4.00 0.00
13 0.15 0.35 0.50 2.60* 0.40 6.00 0.00
14 0.43 0.46 3.23 0.81* 0.54 4.53 0.00
15 0.17 0.45 1.31* 0.85 0.73 6.48 0.00
16 0.27 0.30 0.93 0.52* 0.31 7.67 0.00
17 1.59* 1.26 1.13 0.44 0.41 5.16 0.00
18 0.29* 0.52 0.35 0.31 0.23 8.31 0.00
19 0.79 2.10* 0.93 0.51 0.85 4.82 0.00
20 0.33 0.14 0.25 0.17 0.19* 8.91 0.00
21 0.48 0.45 0.38* 0.33 0.12 8.23 0.00
22 0.44 0.28* 0.33 0.33 0.17 8.44 0.01
23 0.65 0.54* 0.23 0.26 0.44 7.88 0.01
24 0.18 0.21* 0.20 0.34 0.03 9.03 0.00
25 0.45 0.31 0.25* 0.23 0.10 8.66 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 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 1 99.0 1
148.5 123.5 98.5
148.0 123.0 98.0
147.5 122.5 97.5
147.0 122.0 97.0
146.5 121.5 96.5 1 1
146.0 121.0 96.0 1
145.5 120.5 95.5
145.0 120.0 95.0
144.5 119.5 94.5
144.0 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0 1
142.5 117.5 92.5
142.0 117.0 92.0 2
141.5 116.5 91.5
141.0 116.0 91.0 1
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 1 88.5 2
138.0 113.0 88.0
137.5 112.5 87.5 1 1
137.0 112.0 87.0 1
136.5 111.5 86.5 1 2
136.0 111.0 1 86.0
135.5 110.5 85.5 1
135.0 110.0 85.0 2
134.5 109.5 84.5 1
134.0 109.0 84.0 1 1
133.5 108.5 83.5
133.0 108.0 83.0 3
132.5 107.5 82.5 1
132.0 107.0 82.0 2
131.5 106.5 81.5
131.0 106.0 81.0 1
130.5 105.5 80.5 1
130.0 105.0 1 80.0 2
129.5 104.5 79.5 1
129.0 104.0 1 79.0 1
128.5 103.5 78.5 1
128.0 103.0 78.0 2
127.5 102.5 77.5 1
127.0 102.0 77.0 1
126.5 101.5 1 76.5 3
126.0 101.0 1 76.0
125.5 100.5 75.5 1
American Mathematics Competitions
2005 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 1 1 49.5 24.5
74.0 2 1 49.0 1 24.0
73.5 48.5 23.5
73.0 48.0 23.0
72.5 47.5 22.5
72.0 1 47.0 22.0
71.5 46.5 21.5
71.0 2 46.0 21.0
70.5 1 1 45.5 20.5
70.0 1 2 45.0 20.0
69.5 44.5 19.5
69.0 1 1 44.0 19.0
68.5 1 43.5 18.5
68.0 1 2 43.0 18.0
67.5 42.5 17.5
67.0 42.0 17.0
66.5 41.5 1 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 39.0 14.0
63.5 2 2 38.5 13.5
63.0 1 38.0 13.0
62.5 1 37.5 1 12.5
62.0 4 37.0 12.0
61.5 36.5 11.5
61.0 2 36.0 11.0
60.5 1 35.5 10.5
60.0 1 35.0 10.0
59.5 2 1 34.5 9.5
59.0 34.0 9.0
58.5 1 1 33.5 8.5
58.0 2 33.0 8.0
57.5 1 32.5 7.5
57.0 1 32.0 7.0
56.5 1 2 31.5 6.5
56.0 1 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 29.0 4.0
53.5 1 28.5 3.5
53.0 1 28.0 3.0
52.5 2 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
2005 AMC 10 B Results for Arizona
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
124.0 1
113.5 1
111.0 1
105.0 2
104.0 1
101.5 1
101.0 1
99.0 1
96.5 2
96.0 1
93.5 1
93.0 1
92.0 1 1
91.5 1
91.0 1
89.5 1 1
89.0 1
88.5 1 1
87.5 1 1 1
87.0 1
86.5 3
86.0 1
85.5 1
85.0 2 1
84.5 1 1
84.0 1 1 2
83.0 1 2
82.5 1
82.0 2 1
81.5 1
81.0 1
80.5 1
80.0 2
79.5 1
79.0 1 1
78.5 1
78.0 1 1
77.5 1 1
77.0 1
76.5 2 1
76.0 1
75.5 1
74.5 1 1
74.0 2 2
72.0 1
71.0 1 1 2
70.5 1 1
70.0 1 2 1
69.5 1 1
69.0 2 1
68.5 2 1
68.0 3
67.5 1
66.0 3 1
65.5 1
64.5 1
64.0 1
63.5 2 1 2
63.0 1 1
62.5 1 3
62.0 4
61.0 2
60.5 1
60.0 2
59.5 2 1
59.0 2
58.5 1 1 1
58.0 2
57.5 1 1
57.0 1 1
56.5 1 2
56.0 1
54.5 1
54.0 1
53.5 1
53.0 1
52.5 2
51.0 1
50.5 1
49.0 1
44.5 1
41.5 1
40.5 1
37.5 1
American Mathematics Competitions
2005 AMC 10 B Results for Arizona
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 7.27* 0.19 0.58 0.32 1.04 0.58 0.00
2 0.19 0.06 0.26 7.47* 0.32 1.69 0.00
3 0.00 0.91 2.73 4.74* 0.84 0.78 0.00
4 0.84 0.13 0.84 2.92* 0.26 5.00 0.00
5 0.06 0.06 8.12* 0.26 0.58 0.91 0.00
6 0.19 7.34* 0.13 0.39 0.65 1.30 0.00
7 0.45 1.17* 0.45 1.17 0.91 5.84 0.00
8 5.32* 0.26 1.23 0.19 0.06 2.92 0.00
9 0.78 0.58 2.40 3.96* 0.52 1.75 0.00
10 1.30* 1.17 0.52 0.32 0.65 6.04 0.00
11 0.19 0.39 0.19 1.43 1.56* 6.23 0.00
12 0.39 1.36 0.65 0.26 0.52* 6.82 0.00
13 0.58 0.39 1.30* 1.82 0.52 5.39 0.00
14 0.19 0.45 2.34* 2.53 0.39 4.09 0.00
15 1.30 0.52 1.17 3.96* 0.58 2.47 0.00
16 0.26 0.71 0.84 0.26* 0.13 7.79 0.00
17 0.65 3.31* 0.84 0.52 0.19 4.48 0.00
18 0.45 4.48 1.23 1.56* 0.65 1.62 0.00
19 0.58 5.06* 0.58 0.39 0.52 2.86 0.00
20 0.84 0.52 0.91* 0.65 0.26 6.82 0.00
21 0.45* 0.32 0.32 0.26 0.19 8.44 0.00
22 0.45 0.65 0.26* 0.26 0.58 7.79 0.00
23 2.99 0.45 0.19* 0.71 0.19 5.45 0.00
24 0.52 0.19 0.13 0.26 1.49* 7.40 0.00
25 0.32 0.39 3.57* 0.26 0.19 5.26 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 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 5 2
149.0 124.0 99.0
148.5 123.5 98.5 7 2
148.0 123.0 1 98.0
147.5 122.5 97.5 2 1
147.0 122.0 97.0 2 1
146.5 121.5 96.5
146.0 121.0 96.0 9 2
145.5 120.5 95.5
145.0 120.0 95.0 12 7
144.5 119.5 94.5 1
144.0 119.0 94.0 2
143.5 118.5 93.5 2 2
143.0 118.0 93.0
142.5 117.5 92.5 7 4
142.0 117.0 92.0
141.5 116.5 91.5 5 2
141.0 116.0 91.0 2
140.5 115.5 90.5 3 4
140.0 115.0 2 1 90.0 6 3
139.5 114.5 89.5
139.0 114.0 89.0 8 7
138.5 113.5 88.5 1
138.0 113.0 88.0 7 6
137.5 112.5 1 87.5 2 1
137.0 112.0 87.0 3
136.5 111.5 1 86.5 4 2
136.0 111.0 86.0 1
135.5 110.5 85.5 5 6
135.0 110.0 2 85.0 2
134.5 109.5 84.5 4 6
134.0 109.0 1 1 84.0 6 1
133.5 108.5 83.5 2 2
133.0 108.0 4 2 83.0 10 2
132.5 107.5 1 82.5 1
132.0 107.0 82.0 7 2
131.5 106.5 81.5 3 1
131.0 106.0 81.0 2 5
130.5 105.5 80.5 3 4
130.0 105.0 80.0 2
129.5 104.5 5 79.5 2 1
129.0 104.0 1 79.0 2
128.5 103.5 78.5 3 1
128.0 103.0 2 78.0 3 1
127.5 102.5 77.5 2 3
127.0 102.0 5 3 77.0 5 2
126.5 101.5 2 76.5
126.0 101.0 5 2 76.0 1 3
125.5 100.5 75.5 1 1
American Mathematics Competitions
2005 AMC 12 B Results for Arizona
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 3 50.0 25.0
74.5 2 2 49.5 24.5
74.0 1 49.0 24.0
73.5 2 4 48.5 23.5
73.0 2 48.0 1 23.0
72.5 47.5 22.5
72.0 2 47.0 22.0
71.5 2 3 46.5 21.5
71.0 3 46.0 21.0
70.5 2 1 45.5 20.5
70.0 1 45.0 20.0
69.5 1 2 44.5 19.5
69.0 2 44.0 19.0
68.5 43.5 18.5
68.0 1 1 43.0 18.0
67.5 1 42.5 17.5
67.0 2 42.0 17.0
66.5 1 41.5 16.5
66.0 1 41.0 16.0
65.5 40.5 15.5
65.0 40.0 15.0
64.5 39.5 14.5
64.0 1 39.0 14.0
63.5 38.5 13.5
63.0 2 38.0 13.0
62.5 2 37.5 12.5
62.0 37.0 12.0
61.5 2 36.5 11.5
61.0 1 1 36.0 1 11.0
60.5 1 35.5 10.5
60.0 2 35.0 10.0
59.5 1 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 1 1 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 1 30.5 5.5
55.0 30.0 5.0
54.5 29.5 4.5
54.0 29.0 4.0
53.5 1 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 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Arizona
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
123.0 1
115.0 1 2
112.5 1
111.5 1
110.0 1 1
109.0 1 1
108.0 2 4
107.5 1
104.5 1 1 3
104.0 1 1
103.0 2
102.0 4 1 3
101.5 1 1
101.0 3 2 2
99.5 3 4
98.5 1 1 1 6
97.5 1 1 1
97.0 1 2
96.0 1 5 5 1
95.0 1 2 11 6
94.5 1
94.0 1 1
93.5 1 1 2
92.5 2 2 3 5
91.5 1 1 4 1
91.0 2
90.5 1 1 3 2
90.0 2 1 3 4 1
89.0 1 3 3 6 3 1
88.5 1
88.0 3 2 5 2 1
87.5 3 1
87.0 1 1 1
86.5 5 1
86.0 1
85.5 1 1 5 4
85.0 1 1 1
84.5 1 2 1 4 2
84.0 1 1 2 3
83.5 1 1 2
83.0 1 2 1 5 4
82.5 1
82.0 2 2 5 1 2
81.5 1 1 2
81.0 3 1 3
80.5 2 3 2
80.0 2
79.5 2 1 1
79.0 1 1
78.5 1 1 2
78.0 2 2
77.5 1 3 1
77.0 1 1 3 4 1
76.0 4
75.5 1 2
75.0 2 1 1
74.5 1 2 1 1
74.0 1
73.5 1 2 3 1
73.0 2
72.0 2
71.5 3 2
71.0 1 2
70.5 1 2
70.0 1
69.5 1 2
69.0 1 2
68.0 1 1 1
67.5 1 1
67.0 1 1
66.5 1 1
66.0 1
64.0 1
63.0 1 1
62.5 2
61.5 1 1
61.0 2
60.5 1 1
60.0 1 1 1
59.5 2
58.5 1
58.0 1
57.5 1 1 1
55.5 1 2
53.5 1
51.0 1
48.0 1
47.0 1 1
36.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Arizona
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 9.27* 0.21 0.29 0.03 0.16 0.05 0.00
2 0.05 0.05 0.03 9.35* 0.21 0.31 0.00
3 0.08 0.03 9.40* 0.03 0.29 0.18 0.00
4 0.05 9.38* 0.10 0.05 0.10 0.31 0.00
5 8.39* 0.03 0.55 0.00 0.03 1.02 0.00
6 2.79* 0.68 0.52 0.16 0.23 5.63 0.00
7 1.12 1.54 0.21 1.82* 0.26 5.05 0.00
8 1.12 1.74 4.35* 0.08 0.76 1.95 0.00
9 0.36 7.94* 0.18 0.26 0.13 1.12 0.00
10 0.23 0.34 0.10 1.67 3.20* 4.45 0.00
11 0.94 1.02 0.60 4.74* 0.36 2.34 0.00
12 0.08 0.60 0.81 0.60* 0.10 7.81 0.00
13 0.13 0.23 0.18 1.25* 0.08 8.13 0.00
14 0.68 0.63 0.47 0.05 0.78* 7.40 0.00
15 0.26 0.16 0.47 5.34* 0.42 3.36 0.00
16 0.21 0.10 0.65 0.49* 0.10 8.44 0.00
17 0.21 0.26* 0.23 0.10 0.31 8.88 0.00
18 0.94 0.39 0.16* 0.29 0.13 8.10 0.00
19 0.55 0.13 0.03 0.13 2.42* 6.74 0.00
20 0.03 0.13 4.19* 0.55 1.22 3.88 0.00
21 0.10 0.16 0.31* 0.16 0.05 9.22 0.00
22 0.29 0.36 0.05 0.13 0.05* 9.11 0.00
23 0.08 0.18* 0.10 0.03 0.00 9.61 0.00
24 0.18* 0.08 0.18 0.23 0.13 9.19 0.00
25 0.16* 0.21 0.03 0.08 0.39 9.14 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column