American Mathematics Competitions
2005 AMC 10 A Results for Connecticut
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2413
Number of unofficial participants: 0
Average score of participants: 72.0
Average score for female students is: 69.5 ( 1093 Students)
Average score for male students is: 74.4 ( 1184 Students)
Average score for unspecified gender is 71.7 ( 136 Students)
Average score for grade 10 is: 74.3 ( 1224 Students)
Average score for grade 9 is: 69.4 ( 1113 Students)
Average score for grade 8 and below is: 76.3 ( 36 Students)
Average score with unknown grade: 72.4 ( 40 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 11
Number of schools returning results 57
Average school winning score 104.70
American Mathematics Competitions
2005 AMC 12 A Results for Connecticut
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2514
Number of unofficial participants: 0
Average score of participants: 79.5
Average score for female students is: 76.0 ( 1061 Students)
Average score for male students is: 82.2 ( 1316 Students)
Average score for unspecified gender is 79.1 ( 137 Students)
Average score for grade 13 is: 78.8 ( 8 Students)
Average score for grade 12 is: 81.2 ( 899 Students)
Average score for grade 11 is: 78.0 ( 1307 Students)
Average score for grade 10 is: 83.3 ( 163 Students)
Average score for grade 9 is: 74.1 ( 64 Students)
Average score with unknown grade: 80.4 ( 73 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 221
Number of schools returning results 64
Average school winning score 108.28
Average school team score 305.59
American Mathematics Competitions
2005 AMC 10 B Results for Connecticut
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1083
Number of unofficial participants: 0
Average score of participants: 75.7
Average score for female students is: 74.1 ( 520 Students)
Average score for male students is: 77.8 ( 506 Students)
Average score for unspecified gender is 71.7 ( 57 Students)
Average score for grade 10 is: 78.4 ( 559 Students)
Average score for grade 9 is: 72.4 ( 490 Students)
Average score for grade 8 and below is: 91.5 ( 9 Students)
Average score with unknown grade: 73.1 ( 25 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 3
Number of schools returning results 29
Average school winning score 105.60
American Mathematics Competitions
2005 AMC 12 B Results for Connecticut
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1349
Number of unofficial participants: 0
Average score of participants: 83.2
Average score for female students is: 80.9 ( 578 Students)
Average score for male students is: 85.1 ( 713 Students)
Average score for unspecified gender is 81.7 ( 58 Students)
Average score for grade 13 is: 73.5 ( 2 Students)
Average score for grade 12 is: 84.0 ( 478 Students)
Average score for grade 11 is: 83.1 ( 638 Students)
Average score for grade 10 is: 82.3 ( 139 Students)
Average score for grade 9 is: 81.5 ( 72 Students)
Average score for grade 8 and below is: 92.7 ( 6 Students)
Average score with unknown grade: 71.7 ( 14 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 140
Number of schools returning results 37
Average school winning score 110.85
Average school team score 309.43
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
391.5 1 1
374.0 1 2
366.0 1 3
363.5 1 4
363.0 1 5
354.0 1 6
352.5 1 7
349.0 2 8
348.0 1 1 10
347.0 1 12
345.5 1 13
343.5 1 14
341.0 1 15
340.0 1 16
339.0 1 17
337.5 1 18
336.0 1 19
335.0 1 20
331.5 1 21
329.0 1 22
328.5 1 23
328.0 1 24
327.0 1 1 25
326.0 1 27
325.5 1 28
323.5 1 1 29
322.5 1 1 31
322.0 1 33
320.0 1 34
319.0 1 35
318.0 1 2 36
315.5 1 39
314.5 1 1 40
314.0 2 1 42
312.0 1 45
311.5 1 46
308.5 1 1 47
308.0 1 49
307.0 1 50
306.5 1 51
305.5 1 52
305.0 1 53
303.5 1 1 54
302.5 2 56
301.5 1 58
301.0 2 59
300.5 1 61
300.0 1 62
298.0 1 63
297.5 1 64
297.0 1 65
296.5 1 66
295.0 1 67
294.5 1 68
294.0 1 69
291.5 1 70
290.5 1 71
289.5 1 72
288.5 1 73
288.0 1 1 74
286.0 1 76
284.5 1 77
284.0 1 2 78
283.5 2 81
282.5 1 83
281.0 1 84
280.0 1 85
277.5 1 86
276.5 2 87
275.0 1 89
273.0 1 90
271.5 1 91
268.0 1 92
267.5 1 93
266.0 1 94
260.5 1 95
250.5 1 96
250.0 1 97
245.0 1 98
243.0 1 99
238.5 1 100
198.5 1 101
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
146.5 1
144.0 1
139.5 1
138.0 1
137.0 1 1
134.5 1
132.5 1 1
130.0 2 1 1
129.0 1
128.5 1
126.5 1 1
125.0 1 1
124.0 1 1 1
123.0 1 1
122.0 3 2
121.5 1
120.5 1 2
119.5 2 1 3 1
119.0 1
118.5 5 2
118.0 1 1
117.0 4 1
116.5 1
116.0 2 2 3 1
115.5 2 1 1
115.0 5 2
114.5 1 1 1
113.5 2 2 3
113.0 1
112.5 4 3 2 4
112.0 1 2 1
111.5 11 9 1 1
111.0 3 1 2 2
110.0 3 3 6 4
109.0 9 9 3
108.5 1 1 2 2
108.0 11 8 2
107.5 1 2 1 2
107.0 1
106.5 13 4 6 3
106.0 1 1 1 1
105.5 8 6 5 4
105.0 1 1 4 1
104.5 30 13 2 1
104.0 3 3 9 9
103.5 1
103.0 12 5 14 5
102.5 1 1 3 2
102.0 27 22 9 5
101.5 3 1 7 3
101.0 34 24 6
100.5 7 7 7 3
100.0 1 1 2
99.5 18 7 12 15
99.0 2 8 1
98.5 30 31 10 6
98.0 3 5 8 8
97.5 16 10 8 2
97.0 22 9 9 13
96.5 3 2
96.0 26 19 18 11
95.5 2 1 5 12
95.0 73 46 18 8
94.5 17 5 14 7
94.0 28 16 2 2
93.5 19 18 16 8
93.0 1 3 1
92.5 45 27 21 19
92.0 7 4 12 6
91.5 33 23 13 7
91.0 15 6 12 6
90.5 25 10 9 4
90.0 41 33 22 18
89.5 3 1 6 4
89.0 83 79 32 20
88.5 6 7 10 10
88.0 40 24 14 7
87.5 30 18 27 11
87.0 22 8 13 2
86.5 45 40 30 14
86.0 3 6 10 10
85.5 40 34 27 11
85.0 17 12 12 14
84.5 44 18 23 8
84.0 28 34 28 19
83.5 12 7 12 2
83.0 61 47 38 25
82.5 14 3 8 9
82.0 47 27 36 9
81.5 14 13 20 15
81.0 37 15 25 8
80.5 47 30 39 24
80.0 23 8 14 8
79.5 47 23 49 20
79.0 10 11 13 9
78.5 41 18 33 17
78.0 40 23 27 15
77.5 22 6 23 5
77.0 43 45 39 18
76.5 22 10 11 7
76.0 45 15 38 16
75.5 17 15 10 11
75.0 39 7 37 6
74.5 31 22 36 10
74.0 21 11 21 7
73.5 30 15 27 23
73.0 27 11 12 17
72.5 48 14 37 17
72.0 19 21 33 12
71.5 28 5 31 7
71.0 31 13 35 25
70.5 18 12 26 11
70.0 29 8 34 12
69.5 16 6 18 9
69.0 32 8 39 13
68.5 23 8 32 7
68.0 18 7 26 12
67.5 27 10 38 10
67.0 23 7 17 7
66.5 29 12 37 11
66.0 11 7 29 11
65.5 19 5 34 10
65.0 31 11 32 10
64.5 15 6 21 5
64.0 16 2 30 7
63.5 14 8 13 9
63.0 18 2 30 10
62.5 14 12 33 14
62.0 12 22 8
61.5 14 1 17 6
61.0 10 16 7
60.5 24 2 21 6
60.0 16 9 29 11
59.5 11 3 22 7
59.0 22 6 21 5
58.5 9 9 13 2
58.0 15 18 10
57.5 4 3 11 3
57.0 9 1 25 10
56.5 12 4 22 7
56.0 11 1 16 10
55.5 16 3 13 7
55.0 6 1 16 6
54.5 4 2 8 3
54.0 15 9 35 6
53.5 3 3 12 5
53.0 5 11 7
52.5 7 3 10 4
52.0 6 13 2
51.5 9 12 3
51.0 1 2 6 5
50.5 13 2 17 5
50.0 1 3 12 4
49.5 6 11 1
49.0 5 4 3
48.5 3 9 2
48.0 12 5 27 6
47.5 1 1 3 6
47.0 5 9 1
46.5 3 4 4
46.0 3 1 6 4
45.5 2 1 3
45.0 2 2 7 1
44.5 4 10 2
44.0 2 4 4
43.5 1 2 1 2
43.0 1 2
42.5 4 1 7 3
42.0 10 3 22 8
41.5 2 2 2
41.0 4 2
40.5 3 2 2
40.0 1 3 2
39.5 1 1 2
39.0 4
38.5 3
38.0 1 3
37.5 1 1 2 1
37.0 1
36.5 1 2
36.0 5 2 22 2
35.5 1 3
35.0 3
34.5 1
34.0 3
33.0 1 1
32.5 1 1
32.0 2
30.5 1 1
30.0 3 2 13
29.0 2
28.5 1
27.0 1
26.5 1
25.5 1
24.5 2
24.0 1 2 6 2
23.0 1
21.0 1
20.5 1
18.0 7 1
17.0 1
16.0 1
12.0 2 1
American Mathematics Competitions
2005 AMC 10 A Results for Connecticut
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 1 100.0 1
149.5 124.5 99.5 8 2
149.0 124.0 1 99.0 5 2
148.5 123.5 98.5 6 4
148.0 123.0 1 98.0 8
147.5 122.5 97.5 6 2
147.0 122.0 97.0 6 3
146.5 121.5 1 96.5 3
146.0 121.0 96.0 7 9
145.5 120.5 1 1 95.5 5
145.0 120.0 95.0 10 6
144.5 119.5 2 1 94.5 10 2
144.0 1 119.0 1 94.0 1 1
143.5 118.5 93.5 6 7
143.0 118.0 1 93.0 2 1
142.5 117.5 92.5 10 9
142.0 117.0 1 92.0 6 5
141.5 116.5 1 91.5 3 7
141.0 116.0 1 1 91.0 6 5
140.5 115.5 1 90.5 4 4
140.0 115.0 90.0 8 12
139.5 114.5 1 89.5 5 1
139.0 114.0 89.0 15 16
138.5 113.5 2 1 88.5 7 2
138.0 1 113.0 1 88.0 9 4
137.5 112.5 1 1 87.5 16 11
137.0 112.0 2 87.0 8 5
136.5 111.5 1 86.5 16 12
136.0 111.0 2 86.0 6 3
135.5 110.5 85.5 12 12
135.0 110.0 4 2 85.0 10 1
134.5 1 109.5 84.5 7 13
134.0 109.0 2 1 84.0 12 16
133.5 108.5 1 1 83.5 7 5
133.0 108.0 83.0 25 12
132.5 107.5 1 82.5 4 4
132.0 107.0 1 82.0 16 20
131.5 106.5 2 3 81.5 14 4
131.0 106.0 81.0 10 14
130.5 105.5 4 80.5 19 17
130.0 1 105.0 3 1 80.0 11 2
129.5 104.5 1 1 79.5 21 28
129.0 104.0 8 1 79.0 6 5
128.5 103.5 1 78.5 19 13
128.0 103.0 11 3 78.0 15 11
127.5 102.5 1 2 77.5 11 10
127.0 102.0 7 2 77.0 18 19
126.5 101.5 4 3 76.5 3 8
126.0 101.0 1 4 76.0 21 17
125.5 100.5 5 1 75.5 4 5
American Mathematics Competitions
2005 AMC 10 A Results for Connecticut
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 15 21 50.0 6 6 25.0
74.5 19 15 49.5 6 5 24.5 1 1
74.0 15 6 49.0 2 2 24.0 3 2
73.5 13 13 48.5 2 7 23.5
73.0 8 4 48.0 9 15 23.0 1
72.5 15 20 47.5 1 2 22.5
72.0 18 14 47.0 5 3 22.0
71.5 14 16 46.5 1 3 21.5
71.0 16 17 46.0 2 3 21.0
70.5 11 13 45.5 2 1 20.5 1
70.0 20 11 45.0 2 5 20.0
69.5 11 6 44.5 3 6 19.5
69.0 18 18 44.0 1 3 19.0
68.5 18 14 43.5 1 18.5
68.0 10 16 43.0 18.0 1 5
67.5 18 18 42.5 4 3 17.5
67.0 8 9 42.0 11 8 17.0
66.5 17 19 41.5 2 16.5
66.0 18 11 41.0 4 16.0
65.5 20 14 40.5 1 15.5
65.0 22 9 40.0 1 2 15.0
64.5 12 7 39.5 1 14.5
64.0 10 18 39.0 1 3 14.0
63.5 5 6 38.5 2 1 13.5
63.0 16 13 38.0 2 1 13.0
62.5 11 18 37.5 1 1 12.5
62.0 5 15 37.0 1 12.0 2
61.5 11 4 36.5 1 11.5
61.0 8 8 36.0 7 13 11.0
60.5 10 9 35.5 1 2 10.5
60.0 14 12 35.0 1 2 10.0
59.5 11 11 34.5 1 9.5
59.0 12 8 34.0 1 2 9.0
58.5 7 5 33.5 8.5
58.0 4 11 33.0 1 8.0
57.5 4 7 32.5 7.5
57.0 15 9 32.0 1 1 7.0
56.5 7 12 31.5 6.5
56.0 4 10 31.0 6.0
55.5 3 10 30.5 1 5.5
55.0 5 9 30.0 4 9 5.0
54.5 2 5 29.5 4.5
54.0 22 12 29.0 2 4.0
53.5 6 5 28.5 1 3.5
53.0 2 8 28.0 3.0
52.5 4 6 27.5 2.5
52.0 6 6 27.0 2.0
51.5 3 8 26.5 1 1.5
51.0 2 3 26.0 1.0
50.5 3 13 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Connecticut
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
144.0 1
138.0 1
134.5 1
130.0 1
125.0 1
124.0 1
123.0 1
121.5 1
120.5 2
119.5 3
119.0 1
118.0 1
117.0 1
116.5 1
116.0 1 2
115.5 1
114.5 1
113.5 1 2
113.0 1
112.5 2
112.0 1 1
111.5 1
111.0 1 1
110.0 1 1 4
109.0 1 2
108.5 1 1
107.5 1
107.0 1
106.5 3 3
106.0 1
105.5 2 3
105.0 1 3
104.5 1 1
104.0 1 2 5 1
103.5 1
103.0 8 6
102.5 2 1
102.0 3 6
101.5 2 5
101.0 1 4 1
100.5 1 6
100.0 1
99.5 5 6 1
99.0 3 5
98.5 3 7
98.0 4 4
97.5 4 4
97.0 1 5 3
96.5 1 2
96.0 8 7 3
95.5 5
95.0 8 10
94.5 1 3 9 1
94.0 2
93.5 5 11
93.0 1 2
92.5 9 12
92.0 5 7
91.5 6 7
91.0 2 10
90.5 2 6 1
90.0 11 11
89.5 2 4
89.0 15 17
88.5 4 5 1
88.0 8 6
87.5 11 16
87.0 1 12
86.5 14 15 1
86.0 1 3 5 1
85.5 9 18
85.0 6 5 1
84.5 7 15 1
84.0 1 10 17
83.5 4 8
83.0 12 26
82.5 2 6
82.0 16 20
81.5 6 13 1
81.0 12 12 1
80.5 8 29 2
80.0 5 9
79.5 1 20 27 1
79.0 1 5 7
78.5 1 11 21
78.0 1 9 17
77.5 14 9
77.0 15 24
76.5 1 3 7
76.0 1 1 14 22
75.5 4 5 1
75.0 19 17 1
74.5 28 7 1
74.0 11 10
73.5 1 1 15 9 1
73.0 1 6 5
72.5 19 18
72.0 1 19 13
71.5 1 12 18
71.0 18 17
70.5 10 15 1
70.0 16 17 1
69.5 10 8
69.0 18 21
68.5 17 15
68.0 16 10
67.5 2 13 23
67.0 1 5 11
66.5 20 17
66.0 17 12
65.5 26 8
65.0 1 14 16 1
64.5 1 9 11
64.0 14 16
63.5 4 9
63.0 16 14
62.5 13 20
62.0 9 12 1
61.5 7 9 1
61.0 7 9
60.5 13 8
60.0 15 14
59.5 13 8 1
59.0 11 10
58.5 6 7
58.0 9 8 1
57.5 6 5
57.0 16 8 1
56.5 2 11 9
56.0 8 7 1
55.5 6 6 1
55.0 1 7 8
54.5 4 3 1
54.0 1 15 19
53.5 3 9
53.0 6 4 1
52.5 7 3
52.0 9 4
51.5 5 7
51.0 2 4
50.5 2 10 5
50.0 8 4
49.5 7 4
49.0 2 2
48.5 5 3 1
48.0 17 8 2
47.5 2 1
47.0 5 4
46.5 1 3
46.0 3 3
45.5 3
45.0 1 1 5
44.5 1 3 6
44.0 2 2
43.5 1
42.5 3 4
42.0 1 14 5 2
41.5 1 1
41.0 4
40.5 1 1
40.0 3
39.5 1
39.0 2 2
38.5 3
38.0 2 1
37.5 2
37.0 1
36.5 1
36.0 11 10 1
35.5 1 2
35.0 3
34.5 1
34.0 2 1
33.0 1
32.0 1 1
30.5 1
30.0 11 2
29.0 1 1
28.5 1
26.5 1
24.5 2
24.0 6
23.0 1
20.5 1
18.0 6 1
12.0 2
American Mathematics Competitions
2005 AMC 10 A Results for Connecticut
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 0.18 0.12 0.29 8.60* 0.60 0.22 0.00
2 0.16 0.19 5.49* 0.08 1.60 2.48 0.00
3 0.04 8.82* 0.29 0.47 0.08 0.29 0.00
4 0.51 1.48* 2.04 0.65 0.58 4.74 0.00
5 5.89* 0.47 3.36 0.09 0.06 0.13 0.00
6 0.30 4.98* 3.17 0.15 0.12 1.28 0.00
7 0.75 3.53* 0.32 0.52 0.89 4.00 0.00
8 1.10 0.35 3.94* 0.14 0.17 4.30 0.00
9 1.26 5.57* 1.09 0.22 0.22 1.64 0.00
10 1.50* 0.47 1.04 0.44 0.17 6.38 0.00
11 0.58 1.97* 0.25 0.75 0.17 6.28 0.00
12 0.43 1.02* 0.56 0.35 0.56 7.08 0.00
13 1.47 0.53 0.38 0.32 0.72* 6.58 0.00
14 0.82 0.52 0.43 0.51 2.37* 5.35 0.00
15 0.39 0.71 0.58 0.93 0.68* 6.71 0.01
16 0.65 0.39 0.65 2.06* 0.16 6.08 0.00
17 0.27 0.32 0.51 1.94* 0.49 6.47 0.00
18 1.43* 2.25 1.21 2.92 0.28 1.91 0.01
19 0.44 0.74 0.69 3.00* 0.75 4.39 0.00
20 0.51* 0.46 0.61 0.41 0.41 7.60 0.00
21 1.55 0.69* 0.20 0.29 0.59 6.67 0.00
22 0.83 0.47 0.38 2.16* 0.44 5.71 0.01
23 0.20 0.47 1.12* 0.95 0.69 6.57 0.00
24 0.93 0.73* 0.30 0.27 0.20 7.57 0.00
25 0.24 0.74 0.80 0.80* 0.16 7.26 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 A Results for Connecticut
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 9 7
149.0 124.0 1 99.0 2
148.5 123.5 98.5 21 9
148.0 123.0 98.0 2 1
147.5 122.5 97.5 12 4
147.0 122.0 3 97.0 18 2
146.5 1 121.5 96.5
146.0 121.0 96.0 19 6
145.5 120.5 1 95.5 1 1
145.0 120.0 95.0 44 26
144.5 119.5 1 1 94.5 8 7
144.0 119.0 94.0 12 16
143.5 118.5 5 93.5 11 6
143.0 118.0 93.0
142.5 117.5 92.5 23 18
142.0 117.0 3 1 92.0 2 2
141.5 116.5 91.5 15 16
141.0 116.0 2 91.0 10 4
140.5 115.5 2 90.5 18 7
140.0 115.0 4 90.0 20 19
139.5 1 114.5 89.5 3
139.0 114.0 89.0 50 30
138.5 113.5 2 88.5 3 2
138.0 113.0 88.0 21 17
137.5 112.5 4 87.5 14 14
137.0 1 112.0 1 87.0 9 12
136.5 111.5 8 3 86.5 26 17
136.0 111.0 2 86.0 2 1
135.5 110.5 85.5 17 21
135.0 110.0 3 85.0 8 8
134.5 109.5 84.5 24 17
134.0 109.0 4 5 84.0 16 10
133.5 108.5 1 83.5 6 6
133.0 108.0 6 5 83.0 28 27
132.5 1 107.5 1 82.5 8 5
132.0 107.0 82.0 31 15
131.5 106.5 10 2 81.5 6 6
131.0 106.0 1 81.0 14 22
130.5 105.5 6 2 80.5 28 17
130.0 1 1 105.0 1 80.0 13 10
129.5 104.5 21 7 79.5 28 13
129.0 1 104.0 3 79.0 4 5
128.5 1 103.5 78.5 17 23
128.0 103.0 8 3 78.0 27 11
127.5 102.5 1 77.5 10 11
127.0 102.0 19 7 77.0 20 19
126.5 1 101.5 3 76.5 9 10
126.0 101.0 25 9 76.0 26 17
125.5 100.5 6 1 75.5 11 4
American Mathematics Competitions
2005 AMC 12 A Results for Connecticut
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 19 19 50.0 1 25.0
74.5 16 14 49.5 2 4 24.5
74.0 12 8 49.0 2 3 24.0 1
73.5 17 12 48.5 2 1 23.5
73.0 12 13 48.0 5 7 23.0
72.5 23 21 47.5 22.5
72.0 8 8 47.0 1 4 22.0
71.5 12 16 46.5 3 21.5
71.0 18 9 46.0 2 1 21.0 1
70.5 9 7 45.5 2 20.5
70.0 11 16 45.0 1 1 20.0
69.5 8 8 44.5 3 1 19.5
69.0 13 14 44.0 2 19.0
68.5 11 11 43.5 1 18.5
68.0 11 7 43.0 1 18.0
67.5 14 12 42.5 2 17.5
67.0 8 12 42.0 6 4 17.0
66.5 15 14 41.5 1 1 16.5
66.0 6 5 41.0 16.0 1
65.5 9 10 40.5 1 2 15.5
65.0 15 14 40.0 1 15.0
64.5 6 7 39.5 1 14.5
64.0 7 8 39.0 14.0
63.5 5 8 38.5 13.5
63.0 4 13 38.0 1 13.0
62.5 5 9 37.5 1 12.5
62.0 2 10 37.0 12.0
61.5 6 8 36.5 11.5
61.0 4 5 36.0 3 2 11.0
60.5 10 11 35.5 10.5
60.0 9 6 35.0 10.0
59.5 2 8 34.5 9.5
59.0 8 13 34.0 9.0
58.5 2 7 33.5 8.5
58.0 6 9 33.0 8.0
57.5 4 32.5 1 7.5
57.0 5 4 32.0 7.0
56.5 2 9 31.5 6.5
56.0 3 7 31.0 6.0
55.5 6 9 30.5 5.5
55.0 3 3 30.0 1 2 5.0
54.5 2 2 29.5 4.5
54.0 8 7 29.0 4.0
53.5 1 2 28.5 3.5
53.0 2 3 28.0 3.0
52.5 2 5 27.5 2.5
52.0 3 3 27.0 1 2.0
51.5 3 6 26.5 1.5
51.0 1 26.0 1.0
50.5 5 7 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Connecticut
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
146.5 1
139.5 1
137.0 1
132.5 1
130.0 2
129.0 1
128.5 1
126.5 1
124.0 1
122.0 1 1 1
120.5 1
119.5 2
118.5 5
117.0 2 2
116.0 1 1
115.5 1 1
115.0 2 2 1
113.5 2
112.5 1 1 2
112.0 1
111.5 1 2 7 1
111.0 2 1
110.0 1 1 1
109.0 1 1 1 5 1
108.5 1
108.0 1 5 5
107.5 1
106.5 9 3 1
106.0 1
105.5 1 1 3 3
105.0 1
104.5 3 14 13
104.0 1 2
103.0 6 5 1
102.5 1
102.0 2 13 11 1
101.5 1 2
101.0 1 2 12 19
100.5 1 3 3
100.0 1
99.5 4 13 1
99.0 2
98.5 4 17 9
98.0 3
97.5 11 5
97.0 13 8 1
96.0 1 1 11 12 1
95.5 2
95.0 1 5 37 27 3
94.5 2 5 8 2
94.0 1 3 12 12
93.5 1 10 7 1
92.5 1 1 23 16 1 3
92.0 1 5 1
91.5 3 17 13
91.0 1 3 5 6
90.5 15 10
90.0 2 18 19 1 1
89.5 3
89.0 1 6 47 23 6
88.5 2 4
88.0 25 13 2
87.5 1 15 11 1 2
87.0 2 14 5 1
86.5 1 4 22 18
86.0 1 1 1
85.5 1 3 23 13
85.0 1 1 6 8 1
84.5 1 3 17 20 2 1
84.0 1 2 10 14 1
83.5 1 8 3
83.0 4 33 23 1
82.5 3 6 4 1
82.0 1 1 24 20 1
81.5 1 7 4 2
81.0 2 3 18 13 1
80.5 4 21 21 1
80.0 1 14 8
79.5 1 4 16 23 3
79.0 1 4 4 1
78.5 2 3 22 13 1
78.0 2 3 22 13
77.5 1 13 8
77.0 1 3 17 19 3
76.5 1 1 11 7 2
76.0 1 1 27 16
75.5 1 10 6
75.0 1 4 23 10 1
74.5 2 16 12 1
74.0 1 1 15 3 1
73.5 3 1 18 7 1
73.0 1 1 15 10
72.5 3 3 28 12 2
72.0 1 1 12 4 1
71.5 3 15 9 1
71.0 2 20 7 2
70.5 1 9 7 1
70.0 2 1 18 6 2
69.5 1 8 6 1
69.0 2 1 15 11 3
68.5 2 9 12
68.0 14 3 1
67.5 2 15 10
67.0 13 10
66.5 2 21 6
66.0 7 3 1
65.5 1 11 7
65.0 3 18 9 1
64.5 1 2 7 4 1
64.0 1 11 4
63.5 1 6 6 1
63.0 1 2 9 6
62.5 9 5
62.0 6 6
61.5 9 5
61.0 1 1 5 3
60.5 2 2 12 7 1
60.0 1 8 7
59.5 2 5 4
59.0 2 13 7
58.5 2 5 2
58.0 1 1 8 5
57.5 3 1
57.0 1 1 5 2
56.5 1 1 5 5
56.0 1 2 6 2
55.5 1 2 8 5
55.0 1 4 1
54.5 1 3
54.0 1 1 6 7
53.5 3
53.0 1 3 1
52.5 1 5 1
52.0 1 4 1
51.5 6 3
51.0 1
50.5 4 8 1
50.0 1
49.5 5 1
49.0 4 1
48.5 1 2
48.0 1 8 3
47.5 1
47.0 5
46.5 2 1
46.0 1 2
45.5 2
45.0 2
44.5 2 2
44.0 2
43.5 1
43.0 1
42.5 3 1
42.0 1 5 4
41.5 2
40.5 3
40.0 1
39.5 1
38.0 1
37.5 1
36.0 3 2
32.5 1
30.0 2 1
27.0 1
24.0 1
21.0 1
16.0 1
American Mathematics Competitions
2005 AMC 12 A Results for Connecticut
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.04 0.06 0.10 9.54* 0.12 0.14 0.00
2 0.02 9.38* 0.14 0.29 0.03 0.13 0.00
3 0.40 4.38* 1.05 0.35 0.52 3.30 0.00
4 7.34* 0.33 2.18 0.04 0.03 0.08 0.00
5 0.20 7.25* 1.59 0.16 0.04 0.76 0.00
6 0.39 5.26* 0.24 0.27 0.75 3.10 0.00
7 0.58 0.16 7.13* 0.08 0.05 2.01 0.00
8 0.33 0.43 0.33 1.83* 0.21 6.87 0.00
9 3.54* 0.31 0.91 0.26 0.12 4.84 0.00
10 0.32 2.89* 0.21 0.57 0.09 5.91 0.00
11 0.89 0.49 0.35 0.48 3.42* 4.38 0.00
12 1.01 0.23 0.19 3.60* 1.25 3.74 0.00
13 0.11 0.19 0.40 2.82* 0.31 6.17 0.00
14 0.24 0.44 3.45 1.03* 0.38 4.46 0.00
15 0.23 0.31 1.34* 0.78 0.68 6.65 0.00
16 0.24 0.24 0.75 0.51* 0.41 7.85 0.00
17 1.45* 0.67 1.15 0.29 0.35 6.10 0.00
18 0.29* 0.36 0.24 0.20 0.25 8.66 0.00
19 0.88 2.13* 0.82 0.40 0.78 4.99 0.00
20 0.31 0.17 0.13 0.10 0.21* 9.08 0.00
21 0.39 0.34 0.25* 0.16 0.06 8.80 0.00
22 0.32 0.41* 0.25 0.21 0.17 8.64 0.00
23 0.44 0.44* 0.23 0.24 0.34 8.31 0.00
24 0.07 0.14* 0.14 0.16 0.04 9.45 0.00
25 0.25 0.18 0.16* 0.11 0.07 9.22 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 Connecticut
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 100.0 1 1
149.5 124.5 99.5 11 3
149.0 124.0 1 99.0 1
148.5 123.5 98.5 3 3
148.0 123.0 1 98.0 4 4
147.5 122.5 97.5 2
147.0 122.0 97.0 5 7
146.5 121.5 96.5 2
146.0 121.0 96.0 7 4
145.5 120.5 95.5 9 3
145.0 120.0 95.0 6 2
144.5 119.5 1 94.5 5 2
144.0 119.0 94.0 2
143.5 118.5 93.5 4 4
143.0 118.0 93.0 1
142.5 117.5 92.5 11 8
142.0 117.0 92.0 5 1
141.5 116.5 91.5 3 4
141.0 116.0 1 91.0 2 4
140.5 115.5 90.5 2 2
140.0 115.0 1 1 90.0 6 9
139.5 114.5 1 89.5 1 2
139.0 114.0 89.0 13 6
138.5 113.5 88.5 7 3
138.0 113.0 88.0 2 5
137.5 112.5 3 87.5 10 1
137.0 112.0 1 87.0 2
136.5 111.5 1 86.5 6 8
136.0 111.0 2 86.0 8 2
135.5 110.5 85.5 5 6
135.0 110.0 3 1 85.0 7 6
134.5 109.5 84.5 4 3
134.0 109.0 84.0 6 12
133.5 108.5 2 83.5 1 1
133.0 108.0 1 1 83.0 11 14
132.5 107.5 2 82.5 4 5
132.0 107.0 82.0 1 8
131.5 106.5 2 1 81.5 8 7
131.0 106.0 1 81.0 3 4
130.5 105.5 1 3 80.5 10 12
130.0 105.0 1 80.0 7 1
129.5 104.5 1 79.5 9 11
129.0 104.0 5 4 79.0 4 4
128.5 103.5 78.5 7 9
128.0 103.0 2 3 78.0 6 9
127.5 102.5 2 77.5 4 1
127.0 102.0 2 1 77.0 7 10
126.5 101.5 2 1 76.5 2 4
126.0 101.0 76.0 2 13
125.5 100.5 2 75.5 6 4
American Mathematics Competitions
2005 AMC 10 B Results for Connecticut
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 4 50.0 3 1 25.0
74.5 7 3 49.5 24.5
74.0 4 3 49.0 3 24.0 1 1
73.5 7 14 48.5 1 1 23.5
73.0 8 9 48.0 2 3 23.0
72.5 8 7 47.5 4 2 22.5
72.0 2 8 47.0 1 22.0
71.5 1 4 46.5 1 3 21.5
71.0 13 11 46.0 2 2 21.0
70.5 5 6 45.5 20.5
70.0 4 7 45.0 1 20.0
69.5 3 5 44.5 2 19.5
69.0 6 7 44.0 1 2 19.0
68.5 2 5 43.5 2 18.5
68.0 8 4 43.0 1 18.0 1
67.5 4 5 42.5 2 17.5
67.0 1 6 42.0 3 4 17.0 1
66.5 6 5 41.5 1 16.5
66.0 3 7 41.0 1 1 16.0
65.5 2 7 40.5 2 15.5
65.0 5 4 40.0 2 15.0
64.5 3 2 39.5 2 14.5
64.0 4 3 39.0 14.0
63.5 4 4 38.5 13.5
63.0 4 5 38.0 13.0
62.5 9 4 37.5 1 12.5
62.0 4 4 37.0 12.0 1
61.5 2 4 36.5 2 11.5
61.0 2 4 36.0 2 11.0
60.5 1 5 35.5 10.5
60.0 4 6 35.0 10.0
59.5 5 2 34.5 9.5
59.0 3 2 34.0 9.0
58.5 2 33.5 8.5
58.0 6 3 33.0 1 8.0
57.5 2 32.5 1 7.5
57.0 4 6 32.0 7.0
56.5 4 2 31.5 6.5
56.0 5 4 31.0 6.0
55.5 3 3 30.5 1 5.5
55.0 5 30.0 5.0
54.5 1 2 29.5 4.5
54.0 4 2 29.0 4.0
53.5 1 3 28.5 3.5
53.0 4 3 28.0 3.0
52.5 2 2 27.5 2.5
52.0 2 27.0 2.0
51.5 3 26.5 1.5
51.0 3 2 26.0 1.0
50.5 3 2 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Connecticut
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
125.0 1
124.0 1
123.0 1
119.5 1
116.0 1
115.0 1 1
114.5 1
112.5 1 3
112.0 1
111.5 1
111.0 2
110.0 4
108.5 2
108.0 2
107.5 1 1
106.5 3
106.0 1
105.5 1 2 1
105.0 1
104.5 1
104.0 1 3 5
103.0 1 4
102.5 1 1
102.0 2 3
101.5 1 2
100.5 2 1
100.0 2
99.5 1 4 10
99.0 1
98.5 2 4
98.0 2 6
97.5 2
97.0 5 6 2
96.5 2
96.0 5 6
95.5 1 11
95.0 4 4
94.5 1 2 4
94.0 2
93.5 2 6
93.0 1
92.5 7 11 1
92.0 1 5
91.5 4 3
91.0 2 4
90.5 1 3
90.0 6 12
89.5 3 1
89.0 7 13
88.5 3 7
88.0 3 4
87.5 1 5 5
87.0 1 1
86.5 3 11
86.0 4 6
85.5 3 8
85.0 6 8
84.5 3 4 1
84.0 10 9
83.5 2
83.0 17 8
82.5 1 8
82.0 3 6
81.5 9 6
81.0 5 3
80.5 5 17 2
80.0 1 2 5
79.5 11 9
79.0 7 2
78.5 9 8
78.0 10 5
77.5 2 3
77.0 1 9 8
76.5 2 4 1
76.0 9 7
75.5 5 6
75.0 4 2
74.5 5 5
74.0 4 3
73.5 13 9 1
73.0 8 9
72.5 9 7 1
72.0 4 8
71.5 1 6
71.0 1 13 10 1
70.5 4 6 1
70.0 6 4 2
69.5 5 3 1
69.0 4 9
68.5 6 1
68.0 7 5
67.5 5 4 1
67.0 2 5
66.5 6 5
66.0 5 6
65.5 6 4
65.0 7 3
64.5 4 1
64.0 3 4
63.5 6 2 1
63.0 6 4
62.5 5 9
62.0 4 4
61.5 4 2
61.0 4 3
60.5 4 2
60.0 1 10
59.5 4 3
59.0 4 1
58.5 2
58.0 7 3
57.5 1 2
57.0 6 4
56.5 3 4
56.0 6 4
55.5 4 3
55.0 3 2 1
54.5 1 2
54.0 1 5
53.5 3 1 1
53.0 4 3
52.5 2 2
52.0 2
51.5 1 2
51.0 2 3
50.5 4 1
50.0 3 1
49.5 1
49.0 2 1
48.5 1 1
48.0 2 3 1
47.5 5 1
47.0 1
46.5 3 1
46.0 4
45.0 1
44.5 2
44.0 2 2
43.5 2
43.0 2
42.5 2 1
42.0 6 1 1
41.5 1 1
41.0 2
40.5 2
40.0 2
39.5 1 1
37.5 1
36.5 1 1
36.0 2
33.0 1
32.5 1
30.5 1
25.5 1
24.0 1 1
18.0 1
17.0 1
12.0 1
American Mathematics Competitions
2005 AMC 10 B Results for Connecticut
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 8.33* 0.34 0.54 0.25 0.43 0.10 0.00
2 0.14 0.38 0.28 8.02* 0.27 0.91 0.00
3 0.03 0.80 2.25 5.29* 1.00 0.62 0.01
4 0.84 0.13 0.80 3.46* 0.32 4.44 0.00
5 0.12 0.06 8.32* 0.18 0.57 0.75 0.00
6 0.09 8.15* 0.17 0.39 0.23 0.97 0.00
7 0.73 1.06* 0.47 0.87 0.62 6.25 0.00
8 4.83* 0.18 1.17 0.04 0.16 3.62 0.00
9 0.51 0.47 1.99 5.03* 0.66 1.33 0.01
10 1.24* 0.63 0.49 0.35 0.21 7.08 0.00
11 0.23 0.53 0.23 1.76 1.50* 5.75 0.00
12 0.60 1.24 0.42 0.18 0.23* 7.33 0.00
13 0.48 0.42 1.47* 1.51 0.47 5.65 0.00
14 0.40 0.17 1.21* 2.20 0.41 5.62 0.00
15 1.13 0.45 0.78 4.97* 0.50 2.17 0.01
16 0.32 0.62 0.59 0.23* 0.14 8.10 0.00
17 0.48 2.30* 0.99 0.31 0.17 5.75 0.00
18 0.41 5.15 0.92 1.61* 0.53 1.39 0.00
19 0.58 5.67* 0.34 0.47 0.37 2.57 0.00
20 0.58 0.30 0.75* 0.35 0.21 7.80 0.00
21 0.18* 0.31 0.28 0.18 0.17 8.89 0.00
22 0.59 0.80 0.16* 0.18 0.24 8.01 0.01
23 2.49 0.50 0.26* 0.22 0.14 6.38 0.01
24 0.36 0.16 0.15 0.42 0.78* 8.14 0.00
25 0.18 0.24 2.71* 0.20 0.17 6.50 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 Connecticut
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 6 1
149.0 124.0 99.0
148.5 123.5 98.5 15 15
148.0 123.0 98.0 3 2
147.5 122.5 97.5 6 4
147.0 122.0 1 1 97.0 4 5
146.5 121.5 96.5
146.0 121.0 96.0 15 4
145.5 120.5 95.5 1
145.0 120.0 95.0 30 15
144.5 119.5 1 94.5 3 1
144.0 119.0 94.0 8 6
143.5 118.5 2 93.5 11 7
143.0 118.0 1 93.0 1
142.5 117.5 92.5 13 12
142.0 117.0 92.0 1 3
141.5 116.5 91.5 12 10
141.0 116.0 2 91.0 2 3
140.5 115.5 1 90.5 6 4
140.0 115.0 90.0 18 12
139.5 114.5 1 89.5 1
139.0 114.0 89.0 50 26
138.5 113.5 2 88.5 6 1
138.0 113.0 88.0 13 11
137.5 112.5 3 87.5 7 9
137.0 1 112.0 87.0 5 3
136.5 111.5 9 86.5 21 18
136.0 111.0 1 86.0 5 1
135.5 110.5 85.5 15 16
135.0 110.0 3 85.0 4 8
134.5 109.5 84.5 6 11
134.0 109.0 6 3 84.0 18 15
133.5 108.5 1 83.5 3 4
133.0 108.0 6 1 83.0 24 22
132.5 1 107.5 2 82.5 1 2
132.0 107.0 82.0 14 12
131.5 106.5 2 2 81.5 7 6
131.0 106.0 1 81.0 10 5
130.5 105.5 4 1 80.5 13 15
130.0 1 105.0 1 80.0 4 3
129.5 104.5 11 1 79.5 4 15
129.0 104.0 2 1 79.0 6 4
128.5 103.5 78.5 5 13
128.0 103.0 4 1 78.0 12 10
127.5 102.5 1 77.5 2 4
127.0 102.0 14 8 77.0 20 23
126.5 1 101.5 1 76.5 7 2
126.0 101.0 17 7 76.0 3 10
125.5 100.5 3 3 75.5 6 8
American Mathematics Competitions
2005 AMC 12 B Results for Connecticut
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 5 1 50.0 2 25.0
74.5 12 10 49.5 24.5
74.0 4 7 49.0 24.0 2
73.5 7 7 48.5 23.5
73.0 2 7 48.0 2 2 23.0
72.5 5 9 47.5 1 22.5
72.0 6 13 47.0 22.0
71.5 3 1 46.5 21.5
71.0 5 8 46.0 1 21.0
70.5 7 5 45.5 1 20.5
70.0 4 4 45.0 2 20.0
69.5 4 2 44.5 19.5
69.0 4 4 44.0 19.0
68.5 3 5 43.5 2 18.5
68.0 1 5 43.0 18.0
67.5 3 7 42.5 1 17.5
67.0 5 2 42.0 2 1 17.0
66.5 8 4 41.5 16.5
66.0 5 2 41.0 16.0
65.5 3 2 40.5 15.5
65.0 4 6 40.0 15.0
64.5 1 5 39.5 14.5
64.0 1 1 39.0 14.0
63.5 6 2 38.5 13.5
63.0 2 38.0 13.0
62.5 7 5 37.5 1 12.5
62.0 37.0 12.0
61.5 1 36.5 11.5
61.0 36.0 1 1 11.0
60.5 1 1 35.5 1 10.5
60.0 7 1 35.0 10.0
59.5 2 34.5 9.5
59.0 4 2 34.0 9.0
58.5 4 5 33.5 8.5
58.0 33.0 8.0
57.5 1 2 32.5 7.5
57.0 1 32.0 7.0
56.5 1 3 31.5 6.5
56.0 1 31.0 6.0
55.5 2 1 30.5 5.5
55.0 1 30.0 2 5.0
54.5 1 1 29.5 4.5
54.0 6 3 29.0 4.0
53.5 2 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 2 26.0 1.0
50.5 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Connecticut
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
137.0 1
132.5 1
130.0 1
126.5 1
122.0 1 1
119.5 1
118.5 2
118.0 1
116.0 1 1
115.5 1
114.5 1
113.5 1 1
112.5 1 2
111.5 1 3 5
111.0 1
110.0 1 2
109.0 1 1 4 3
108.5 1
108.0 1 2 1 4
107.5 2
106.5 2 2
106.0 1
105.5 2 3 1
105.0 1
104.5 1 8 4
104.0 1 2
103.0 1 1 3
102.5 1
102.0 1 4 9 8
101.5 1
101.0 4 10 10
100.5 1 4 2
99.5 2 5
98.5 1 2 19 9
98.0 1 4
97.5 8 2
97.0 1 3 5
96.0 1 3 7 8
95.5 1
95.0 3 2 19 22
94.5 4 1
94.0 2 2 1 7 3 1
93.5 8 10
93.0 1
92.5 2 1 15 9
92.0 1 3
91.5 1 1 4 10 7
91.0 1 5
90.5 2 4 4
90.0 4 13 15 1
89.5 1
89.0 4 7 44 24
88.5 1 6
88.0 3 10 11
87.5 2 8 8
87.0 1 5 2
86.5 3 23 14
86.0 5 1
85.5 3 3 20 7 1
85.0 9 2 1
84.5 1 4 1 7 5
84.0 1 2 5 15 11
83.5 2 1 1 3
83.0 1 5 23 18
82.5 1 2
82.0 1 4 14 8
81.5 1 1 8 3
81.0 1 3 6 5
80.5 1 4 16 9
80.0 6 2
79.5 1 3 12 7
79.0 1 5 4 1
78.5 1 5 9 3
78.0 1 17 5
77.5 1 3 2
77.0 4 5 22 14
76.5 1 6 3
76.0 2 3 8 2
75.5 2 9 4
75.0 5 1 1
74.5 3 1 14 4
74.0 1 3 6 1
73.5 2 10 3
73.0 1 5 4 1
72.5 3 5 6
72.0 2 4 6 8 1
71.5 1 1 1 2
71.0 3 6 4
70.5 2 2 4 4
70.0 2 6
69.5 1 2 3
69.0 1 4 3
68.5 1 4 3
68.0 1 3 3
67.5 4 2 4
67.0 1 1 4 1
66.5 2 8 2
66.0 3 4
65.5 3 2
65.0 1 2 4 3 1
64.5 1 4 1
64.0 1 1
63.5 1 1 4 2
63.0 1 1
62.5 4 8
61.5 1
60.5 2
60.0 1 1 4 2 1
59.5 1 2
59.0 3 1 2
58.5 7 2
57.5 2 1
57.0 1
56.5 1 1 2
56.0 1
55.5 3
55.0 1
54.5 1 1
54.0 2 1 2 4
53.5 1 1 1
52.5 2 1
51.0 1 1
50.5 1 1
50.0 2 1
48.0 1 3 1
47.5 1
46.0 1
45.5 1
45.0 1 1
43.5 2
42.5 1
42.0 3
37.5 1
36.0 1 1
35.5 1
30.0 2
24.0 2
American Mathematics Competitions
2005 AMC 12 B Results for Connecticut
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 9.30* 0.16 0.22 0.11 0.16 0.05 0.00
2 0.04 0.14 0.08 9.31* 0.10 0.32 0.00
3 0.06 0.05 9.33* 0.11 0.20 0.24 0.01
4 0.09 8.95* 0.19 0.16 0.18 0.44 0.00
5 7.78* 0.19 0.68 0.04 0.07 1.22 0.01
6 2.91* 0.89 0.50 0.33 0.35 5.02 0.00
7 1.03 1.36 0.33 2.19* 0.46 4.63 0.00
8 1.22 1.70 3.90* 0.05 0.87 2.25 0.01
9 0.38 7.89* 0.32 0.28 0.27 0.85 0.00
10 0.13 0.59 0.12 2.18 3.21* 3.77 0.00
11 1.21 0.73 0.62 4.96* 0.42 2.05 0.00
12 0.24 0.59 0.64 0.64* 0.10 7.78 0.00
13 0.36 0.27 0.23 1.22* 0.25 7.66 0.00
14 0.56 0.96 0.62 0.23 0.89* 6.75 0.01
15 0.50 0.27 0.24 5.03* 0.49 3.47 0.00
16 0.16 0.22 0.50 0.35* 0.21 8.55 0.00
17 0.22 0.50* 0.17 0.13 0.50 8.48 0.00
18 1.22 0.39 0.43* 0.30 0.19 7.47 0.01
19 0.18 0.14 0.23 0.30 2.06* 7.09 0.00
20 0.12 0.33 4.00* 0.60 1.76 3.19 0.00
21 0.12 0.19 0.33* 0.27 0.17 8.93 0.00
22 0.32 0.55 0.11 0.13 0.13* 8.77 0.00
23 0.09 0.20* 0.17 0.11 0.04 9.38 0.00
24 0.28* 0.13 0.19 0.26 0.26 8.89 0.00
25 0.24* 0.25 0.18 0.20 0.24 8.89 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column