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Missing Title
American Mathematics Competitions
2005 AMC 10 A Results for Texas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2881
Number of unofficial participants: 0
Average score of participants: 76.0
Average score for female students is: 72.2 ( 1279 Students)
Average score for male students is: 79.6 ( 1442 Students)
Average score for unspecified gender is 74.6 ( 160 Students)
Average score for grade 10 is: 75.3 ( 1655 Students)
Average score for grade 9 is: 76.6 ( 1095 Students)
Average score for grade 8 and below is: 90.1 ( 67 Students)
Average score with unknown grade: 69.3 ( 64 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 46
Number of schools returning results 83
Average school winning score 109.33
American Mathematics Competitions
2005 AMC 12 A Results for Texas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4023
Number of unofficial participants: 0
Average score of participants: 79.6
Average score for female students is: 75.6 ( 1690 Students)
Average score for male students is: 83.3 ( 2081 Students)
Average score for unspecified gender is 76.6 ( 252 Students)
Average score for grade 13 is: 110.0 ( 1 Student)
Average score for grade 12 is: 80.4 ( 1645 Students)
Average score for grade 11 is: 79.2 ( 1777 Students)
Average score for grade 10 is: 84.4 ( 228 Students)
Average score for grade 9 is: 77.8 ( 195 Students)
Average score for grade 8 and below is: 77.2 ( 52 Students)
Average score with unknown grade: 70.9 ( 125 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 433
Number of schools returning results 97
Average school winning score 111.13
Average school team score 307.99
American Mathematics Competitions
2005 AMC 10 B Results for Texas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 595
Number of unofficial participants: 0
Average score of participants: 79.3
Average score for female students is: 74.4 ( 264 Students)
Average score for male students is: 83.5 ( 298 Students)
Average score for unspecified gender is 81.3 ( 33 Students)
Average score for grade 10 is: 80.7 ( 331 Students)
Average score for grade 9 is: 77.2 ( 248 Students)
Average score for grade 8 and below is: 102.7 ( 6 Students)
Average score with unknown grade: 72.1 ( 10 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 16
Number of schools returning results 30
Average school winning score 109.28
American Mathematics Competitions
2005 AMC 12 B Results for Texas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 854
Number of unofficial participants: 0
Average score of participants: 86.8
Average score for female students is: 82.7 ( 264 Students)
Average score for male students is: 88.6 ( 561 Students)
Average score for unspecified gender is 87.9 ( 29 Students)
Average score for grade 12 is: 85.7 ( 317 Students)
Average score for grade 11 is: 85.7 ( 382 Students)
Average score for grade 10 is: 90.9 ( 82 Students)
Average score for grade 9 is: 90.5 ( 57 Students)
Average score for grade 8 and below is: 103.5 ( 11 Students)
Average score with unknown grade: 85.9 ( 5 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 162
Number of schools returning results 42
Average school winning score 112.75
Average school team score 311.83
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
405.5 1 1
404.0 1 2
397.0 1 3
395.0 1 4
388.0 1 5
386.5 1 6
374.5 1 7
369.0 1 8
368.0 1 9
365.5 1 10
362.5 1 11
362.0 2 12
360.0 1 14
359.5 1 15
357.5 1 16
354.5 1 17
350.5 1 18
350.0 1 19
349.5 1 20
349.0 1 21
348.5 1 22
347.0 1 23
346.0 1 24
345.5 1 25
344.5 1 26
343.5 1 27
342.5 1 28
342.0 2 29
341.0 1 1 31
338.0 1 33
336.5 1 34
335.5 1 35
334.0 1 36
333.5 1 37
331.5 1 38
329.5 1 39
328.5 1 40
327.0 1 41
326.0 1 42
325.0 3 43
324.5 2 46
321.5 2 1 48
320.0 1 51
319.5 1 52
319.0 2 1 53
318.5 1 56
317.0 1 57
316.5 2 58
316.0 2 60
315.5 2 62
315.0 1 64
314.5 1 65
314.0 2 66
313.0 1 1 68
312.5 1 70
311.5 1 71
311.0 2 72
310.0 1 74
309.5 3 1 75
308.5 2 1 79
307.0 2 82
306.5 1 84
306.0 1 85
305.0 1 86
304.0 1 87
303.5 1 88
303.0 1 89
302.5 1 90
302.0 1 91
301.5 1 92
300.0 1 93
299.5 1 94
299.0 1 95
298.5 1 96
298.0 1 97
297.5 1 98
297.0 2 99
296.0 1 101
295.5 1 102
295.0 1 1 103
294.5 1 105
293.0 2 106
292.0 1 108
291.5 1 109
289.5 1 110
286.5 1 111
286.0 1 112
282.5 3 113
280.5 1 116
279.5 1 117
279.0 1 118
277.0 1 119
276.5 1 120
275.0 1 121
274.5 1 122
272.0 1 123
270.5 1 124
269.0 1 125
267.5 1 126
262.0 1 127
261.5 1 128
258.5 1 129
256.0 1 130
252.0 1 131
251.0 1 132
212.5 1 133
206.5 1 134
196.5 1 135
144.0 1 136
140.5 1 137
137.0 1 138
91.0 1 139
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 1
146.5 1
144.0 2
143.0 1
140.5 1 1 3
139.5 1
138.0 1 2 1
137.0 4 2
136.0 1 2
134.5 2
133.5 1 1 2
132.5 1 1
132.0 1 1
131.0 2 4 1
130.0 4 2
129.0 1 2
128.5 1 1
127.5 2 2 1
126.5 2 1 1 3
126.0 1
125.5 3
125.0 1 1
124.0 2 2 5 2
123.0 3 3 1
122.5 1 4
122.0 3 2
121.5 1 3 4
120.5 2 2 7
120.0 1
119.5 6 3 1
119.0 1 3 1
118.5 8 4
118.0 2 1 1
117.0 3 2 11 2
116.5 1 2
116.0 5 3 3 1
115.5 1 2
115.0 7 1 6
114.5 1 2 7
114.0 1
113.5 6 3 2
113.0 4
112.5 15 5 4 4
112.0 1 3
111.5 11 5 3
111.0 2 2 5 3
110.5 3
110.0 10 2 15 5
109.5 4 2
109.0 25 5 4 4
108.5 1 1 4 3
108.0 32 6 3 1
107.5 5 2 5 3
107.0 1 2
106.5 12 8 10 5
106.0 4 5 1
105.5 30 9 9 3
105.0 3 1 10 2
104.5 28 12 3 2
104.0 6 6 18 6
103.5 3
103.0 21 13 13 4
102.5 1 8 1
102.0 52 14 7 5
101.5 3 2 13 5
101.0 87 16 9
100.5 19 3 13 3
100.0 2 1
99.5 36 10 14 1
99.0 2 1 10 4
98.5 57 18 18 7
98.0 5 4 20 8
97.5 34 8 7 4
97.0 19 15 20 2
96.5 5
96.0 52 18 24 9
95.5 4 1 8 2
95.0 128 29 23 2
94.5 20 5 19 4
94.0 29 2 8 1
93.5 35 13 20 8
93.0 1 2 2 2
92.5 67 21 28 9
92.0 6 2 18 9
91.5 62 15 27
91.0 14 12 23 6
90.5 47 4 15 1
90.0 43 16 38 5
89.5 3 20 4
89.0 122 45 33 6
88.5 19 6 16 5
88.0 62 7 29 2
87.5 27 15 29 9
87.0 32 3 22 3
86.5 49 26 33 3
86.0 7 4 18 5
85.5 77 12 35 10
85.0 15 14 17 11
84.5 60 8 39 5
84.0 61 15 44 11
83.5 31 6 23 7
83.0 111 29 46 10
82.5 10 3 14 4
82.0 90 11 34 3
81.5 21 7 27 12
81.0 70 3 35 2
80.5 53 16 49 13
80.0 30 5 29 5
79.5 71 13 41 8
79.0 22 6 18 7
78.5 84 11 38 7
78.0 33 16 27 11
77.5 57 3 26 3
77.0 87 12 56 4
76.5 23 4 17 4
76.0 66 9 42 5
75.5 21 8 29 4
75.0 62 5 43 3
74.5 35 7 27 8
74.0 43 4 30 7
73.5 53 10 33 9
73.0 30 6 7 4
72.5 71 5 54 3
72.0 34 7 27 9
71.5 49 1 36 5
71.0 48 7 42 8
70.5 33 3 18 6
70.0 39 4 45 1
69.5 19 3 25 4
69.0 38 3 43 2
68.5 38 2 29 4
68.0 37 4 26 5
67.5 23 2 30 3
67.0 25 7 23 2
66.5 32 2 33 3
66.0 36 7 33 6
65.5 34 4 35 2
65.0 40 2 44 5
64.5 18 3 18 8
64.0 41 7 24 7
63.5 13 3 17 3
63.0 25 1 21 4
62.5 29 3 21 6
62.0 20 2 30 1
61.5 29 2 26 4
61.0 10 7 17 5
60.5 31 2 18 4
60.0 24 1 23 12
59.5 20 2 18 3
59.0 24 1 26 3
58.5 20 4 15 3
58.0 17 1 16 2
57.5 13 4 3
57.0 14 3 19 5
56.5 22 2 25 1
56.0 7 1 10 1
55.5 18 2 15 1
55.0 12 4 6 1
54.5 17 2 16 4
54.0 19 6 20 7
53.5 11 11 2
53.0 7 11
52.5 4 1 11 1
52.0 7 2 9 2
51.5 10 1 7 3
51.0 8 2 8
50.5 8 1 13 1
50.0 8 1 6 1
49.5 9 4 2
49.0 5 1 5 2
48.5 6 8 2
48.0 15 5 11 5
47.5 2 3
47.0 5 4
46.5 10 7 4
46.0 8 4
45.5 4 2 1
45.0 3 1 5 1
44.5 8 1 4 2
44.0 7 4
43.5 1 1 4
43.0 5 3
42.5 6 1 4
42.0 19 1 24 4
41.5 3 2 6
41.0 2 1 4 1
40.5 6
40.0 1 1 3 1
39.5 1 1
39.0 3 7
38.5 4 3 1
38.0 2 2 2
37.5 2 1 1
37.0 2 2
36.5 4 1
36.0 20 13 1
35.5 3 2
35.0 2
34.5 1 1
34.0 1 3
33.5 1 1
33.0 2 2
32.5 1 1
32.0 1 1
31.5 1
31.0 1
30.0 10 22 5
29.5 1
29.0 1
28.5 1
28.0 2 2
27.0 1
26.5 4 1 1
25.5 1 1
24.0 2 2 16 1
22.0 1
20.0 1
19.5 1 1
18.0 3 4
12.5 1
12.0 1 4 1
8.5 1
6.0 1 1
5.0 1
2.5 1
American Mathematics Competitions
2005 AMC 10 A Results for Texas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 1 100.0 2
149.5 124.5 99.5 10 3
149.0 124.0 3 1 99.0 8 2
148.5 123.5 98.5 10 8
148.0 123.0 1 2 98.0 15 3
147.5 122.5 3 1 97.5 4 3
147.0 122.0 97.0 13 6
146.5 1 121.5 3 96.5 4 1
146.0 121.0 96.0 12 11
145.5 120.5 5 1 95.5 4 4
145.0 120.0 1 95.0 11 11
144.5 119.5 1 94.5 9 6
144.0 119.0 3 94.0 5 2
143.5 118.5 93.5 8 12
143.0 118.0 1 93.0 1 1
142.5 117.5 92.5 17 11
142.0 117.0 7 4 92.0 13 5
141.5 116.5 1 91.5 15 9
141.0 116.0 1 1 91.0 15 8
140.5 1 115.5 2 90.5 8 6
140.0 115.0 4 2 90.0 22 10
139.5 114.5 7 89.5 13 6
139.0 114.0 89.0 13 19
138.5 113.5 3 88.5 11 4
138.0 1 1 113.0 3 88.0 17 12
137.5 112.5 3 1 87.5 17 12
137.0 112.0 3 87.0 8 13
136.5 111.5 2 1 86.5 20 10
136.0 111.0 4 1 86.0 12 5
135.5 110.5 2 1 85.5 16 18
135.0 110.0 13 2 85.0 10 7
134.5 1 1 109.5 2 2 84.5 20 17
134.0 109.0 3 1 84.0 25 16
133.5 2 108.5 3 1 83.5 10 12
133.0 108.0 3 83.0 17 27
132.5 107.5 4 1 82.5 5 7
132.0 1 107.0 1 1 82.0 15 17
131.5 106.5 6 3 81.5 15 10
131.0 3 106.0 3 2 81.0 18 16
130.5 105.5 7 1 80.5 26 22
130.0 1 105.0 7 3 80.0 11 17
129.5 104.5 1 2 79.5 21 20
129.0 104.0 13 5 79.0 5 9
128.5 1 103.5 3 78.5 15 23
128.0 103.0 7 4 78.0 17 9
127.5 2 102.5 7 77.5 16 10
127.0 102.0 5 2 77.0 26 25
126.5 101.5 11 2 76.5 14 3
126.0 1 101.0 5 4 76.0 21 19
125.5 100.5 9 4 75.5 19 10
American Mathematics Competitions
2005 AMC 10 A Results for Texas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 24 19 50.0 3 3 25.0
74.5 17 9 49.5 3 1 24.5
74.0 17 13 49.0 5 24.0 3 13
73.5 18 12 48.5 4 4 23.5
73.0 2 5 48.0 5 6 23.0
72.5 16 35 47.5 2 1 22.5
72.0 13 12 47.0 1 2 22.0
71.5 18 12 46.5 4 2 21.5
71.0 16 25 46.0 2 2 21.0
70.5 10 7 45.5 1 1 20.5
70.0 20 20 45.0 3 2 20.0
69.5 12 9 44.5 1 1 19.5 1
69.0 20 20 44.0 2 1 19.0
68.5 16 12 43.5 2 2 18.5
68.0 14 11 43.0 1 4 18.0 1 3
67.5 10 18 42.5 1 3 17.5
67.0 11 11 42.0 9 15 17.0
66.5 18 13 41.5 5 16.5
66.0 19 13 41.0 1 2 16.0
65.5 21 13 40.5 6 15.5
65.0 13 29 40.0 1 2 15.0
64.5 8 10 39.5 1 14.5
64.0 7 16 39.0 6 14.0
63.5 8 8 38.5 1 1 13.5
63.0 6 14 38.0 2 13.0
62.5 7 12 37.5 12.5
62.0 13 17 37.0 1 12.0 1 3
61.5 11 13 36.5 1 11.5
61.0 7 9 36.0 2 10 11.0
60.5 6 11 35.5 2 10.5
60.0 6 14 35.0 2 10.0
59.5 8 9 34.5 1 9.5
59.0 11 14 34.0 1 1 9.0
58.5 9 5 33.5 1 8.5
58.0 9 7 33.0 2 8.0
57.5 2 2 32.5 7.5
57.0 12 7 32.0 1 7.0
56.5 7 14 31.5 6.5
56.0 3 4 31.0 6.0 1
55.5 7 8 30.5 5.5
55.0 2 4 30.0 22 5.0 1
54.5 9 7 29.5 1 4.5
54.0 10 9 29.0 1 4.0
53.5 5 4 28.5 3.5
53.0 4 5 28.0 2 3.0
52.5 2 7 27.5 2.5 1
52.0 5 2 27.0 1 2.0
51.5 3 4 26.5 1 1.5
51.0 4 4 26.0 1.0
50.5 4 7 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Texas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
146.5 1
140.5 1
138.0 1 1
134.5 2
133.5 1 1
132.0 1
131.0 1 3
130.0 2
128.5 1
127.5 1 1
126.5 1
126.0 1
125.0 1
124.0 2 3
123.0 1 2
122.5 3 1
121.5 2 2
120.5 1 6
120.0 1
119.5 1
119.0 2 1
118.0 1
117.0 5 6
116.5 1 1
116.0 1 2
115.5 1 1
115.0 4 2
114.5 1 6
113.5 1 2
113.0 1 3
112.5 1 3
112.0 1 2
111.5 3
111.0 3 2
110.5 1 1 1
110.0 6 9
109.5 3 1
109.0 1 3
108.5 2 2
108.0 1 2
107.5 3 2
107.0 2
106.5 3 6 1
106.0 1 2 2
105.5 3 5 1
105.0 1 4 5
104.5 2 1
104.0 1 3 14
103.5 1 2
103.0 4 8 1
102.5 1 2 5
102.0 3 4
101.5 2 1 10
101.0 2 6 1
100.5 6 7
100.0 1 1
99.5 1 3 10
99.0 2 8
98.5 7 11
98.0 1 6 13
97.5 3 4
97.0 1 1 10 8
96.5 4 1
96.0 11 13
95.5 2 6
95.0 1 7 15
94.5 3 16
94.0 3 4 1
93.5 2 9 9
93.0 2
92.5 1 13 14
92.0 1 6 11
91.5 1 1 12 13
91.0 1 2 10 10
90.5 1 6 8
90.0 16 20 2
89.5 3 8 8 1
89.0 11 21 1
88.5 1 5 10
88.0 1 1 11 15 1
87.5 1 19 9
87.0 11 10 1
86.5 1 10 20 2
86.0 1 5 12
85.5 15 19 1
85.0 6 10 1
84.5 1 17 21
84.0 1 11 32
83.5 2 12 9
83.0 1 18 27
82.5 1 5 8
82.0 16 17 1
81.5 12 15
81.0 1 15 19
80.5 1 2 13 33
80.0 1 13 13 2
79.5 1 19 20 1
79.0 1 5 10 2
78.5 1 15 22
78.0 8 19
77.5 8 18
77.0 23 31 2
76.5 7 10
76.0 2 16 24
75.5 14 15
75.0 1 17 24 1
74.5 12 14 1
74.0 1 13 16
73.5 11 22
73.0 1 6
72.5 23 30 1
72.0 1 13 13
71.5 16 19 1
71.0 16 24 2
70.5 8 10
70.0 18 26 1
69.5 7 17 1
69.0 2 16 23 2
68.5 10 19
68.0 15 11
67.5 13 16 1
67.0 5 17 1
66.5 12 21
66.0 16 17
65.5 1 19 14 1
65.0 19 24 1
64.5 1 7 10
64.0 8 15 1
63.5 10 7
63.0 9 12
62.5 4 16 1
62.0 1 12 17
61.5 11 14 1
61.0 1 6 10
60.5 6 11 1
60.0 13 10
59.5 11 7
59.0 8 17 1
58.5 6 9
58.0 3 13
57.5 2 2
57.0 5 14
56.5 1 9 12 3
56.0 4 5 1
55.5 4 11
55.0 4 2
54.5 12 3 1
54.0 5 15
53.5 1 9 1
53.0 5 4 2
52.5 2 8 1
52.0 1 7 1
51.5 2 3 2
51.0 5 3
50.5 4 9
50.0 1 5
49.5 2 2
49.0 4 1
48.5 4 4
48.0 4 7
47.5 3
47.0 2 2
46.5 4 3
46.0 3 1
45.5 1 1
45.0 3 2
44.5 2 1 1
44.0 1 2 1
43.5 1 3
43.0 4 1
42.5 1 3
42.0 7 17
41.5 6
41.0 1 2 1
40.5 6
40.0 1 2
39.5 1
39.0 1 2 3 1
38.5 3
38.0 1 1
37.5 1
37.0 1 1
36.5 1
36.0 2 10 1
35.5 2
35.0 2
34.5 1
34.0 1 2
33.5 1
33.0 1 1
32.0 1
30.0 21 1
29.5 1
29.0 1
28.0 1 1
27.0 1
26.5 1
25.5 1
24.0 2 14
20.0 1
19.5 1
18.0 4
12.0 2 2
6.0 1
5.0 1
2.5 1
American Mathematics Competitions
2005 AMC 10 A Results for Texas
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 0.23 0.15 0.30 8.82* 0.30 0.20 0.00
2 0.14 0.19 5.79* 0.10 1.29 2.48 0.00
3 0.04 8.99* 0.27 0.40 0.09 0.20 0.00
4 0.53 2.11* 1.55 0.54 0.47 4.80 0.00
5 6.31* 0.39 3.02 0.10 0.04 0.15 0.00
6 0.31 5.52* 2.81 0.14 0.10 1.12 0.00
7 0.80 3.88* 0.34 0.44 0.73 3.81 0.00
8 1.06 0.31 4.89* 0.15 0.11 3.49 0.00
9 1.17 5.65* 0.94 0.20 0.16 1.88 0.00
10 1.99* 0.44 0.81 0.34 0.15 6.27 0.00
11 0.40 2.47* 0.22 0.73 0.12 6.06 0.00
12 0.32 1.42* 0.60 0.25 0.59 6.82 0.00
13 1.29 0.53 0.34 0.33 1.06* 6.44 0.00
14 0.72 0.50 0.38 0.45 2.26* 5.69 0.00
15 0.43 0.75 0.75 1.11 0.94* 6.02 0.00
16 0.49 0.36 0.68 2.33* 0.12 6.02 0.00
17 0.28 0.29 0.48 1.99* 0.42 6.55 0.00
18 1.37* 1.82 1.02 3.19 0.28 2.32 0.00
19 0.44 0.60 0.67 3.77* 0.53 3.98 0.00
20 0.62* 0.40 0.56 0.41 0.25 7.76 0.00
21 1.44 0.74* 0.27 0.28 0.69 6.58 0.00
22 0.70 0.48 0.25 2.50* 0.40 5.68 0.00
23 0.25 0.43 1.14* 0.83 0.60 6.75 0.00
24 0.85 0.90* 0.31 0.20 0.12 7.61 0.00
25 0.25 0.67 0.56 0.77* 0.09 7.66 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 12 A Results for Texas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0
149.5 124.5 99.5 22 9
149.0 124.0 2 99.0 2
148.5 123.5 98.5 38 15
148.0 123.0 3 98.0 4
147.5 122.5 1 97.5 19 13
147.0 122.0 2 1 97.0 12 6
146.5 121.5 1 96.5
146.0 121.0 96.0 37 14
145.5 120.5 2 95.5 4
145.0 120.0 95.0 79 46
144.5 119.5 5 1 94.5 16 2
144.0 119.0 1 94.0 11 16
143.5 118.5 7 1 93.5 23 11
143.0 1 118.0 2 93.0 1
142.5 117.5 92.5 44 17
142.0 117.0 3 92.0 4 2
141.5 116.5 91.5 33 26
141.0 116.0 4 91.0 10 3
140.5 1 115.5 90.5 25 19
140.0 115.0 5 2 90.0 29 13
139.5 1 114.5 1 89.5 2 1
139.0 114.0 89.0 69 44
138.5 113.5 88.5 10 6
138.0 1 113.0 88.0 37 22
137.5 112.5 9 6 87.5 13 11
137.0 4 112.0 87.0 18 14
136.5 111.5 9 1 86.5 29 19
136.0 1 111.0 2 86.0 5 2
135.5 110.5 85.5 34 40
135.0 110.0 7 2 85.0 12 2
134.5 109.5 84.5 30 30
134.0 109.0 20 4 84.0 37 22
133.5 1 108.5 1 83.5 10 19
133.0 108.0 21 10 83.0 62 45
132.5 1 107.5 5 82.5 7 3
132.0 107.0 82.0 47 40
131.5 106.5 10 1 81.5 12 8
131.0 2 106.0 3 1 81.0 31 30
130.5 105.5 19 11 80.5 26 22
130.0 105.0 3 80.0 16 10
129.5 104.5 20 6 79.5 33 35
129.0 1 104.0 4 1 79.0 14 7
128.5 103.5 78.5 37 41
128.0 103.0 20 78.0 18 12
127.5 2 102.5 77.5 22 28
127.0 102.0 37 13 77.0 55 30
126.5 2 101.5 1 1 76.5 13 8
126.0 101.0 48 36 76.0 35 24
125.5 3 100.5 15 3 75.5 11 10
American Mathematics Competitions
2005 AMC 12 A Results for Texas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 28 27 50.0 4 3 25.0
74.5 18 15 49.5 4 3 24.5
74.0 16 23 49.0 1 3 24.0 1
73.5 25 26 48.5 6 23.5
73.0 14 12 48.0 4 9 23.0
72.5 30 35 47.5 2 22.5
72.0 17 17 47.0 4 1 22.0
71.5 18 28 46.5 5 5 21.5
71.0 22 24 46.0 1 5 21.0
70.5 11 20 45.5 2 2 20.5
70.0 19 16 45.0 3 20.0
69.5 7 10 44.5 4 3 19.5 1
69.0 16 19 44.0 4 3 19.0
68.5 21 16 43.5 1 18.5
68.0 10 25 43.0 18.0 3
67.5 12 11 42.5 3 3 17.5
67.0 11 11 42.0 4 13 17.0
66.5 13 17 41.5 1 2 16.5
66.0 20 13 41.0 1 1 16.0
65.5 13 16 40.5 15.5
65.0 21 16 40.0 1 15.0
64.5 11 6 39.5 1 14.5
64.0 12 25 39.0 2 1 14.0
63.5 9 4 38.5 3 1 13.5
63.0 9 14 38.0 1 1 13.0
62.5 14 12 37.5 2 12.5 1
62.0 4 12 37.0 1 1 12.0 1
61.5 8 18 36.5 2 1 11.5
61.0 3 7 36.0 5 14 11.0
60.5 9 22 35.5 1 2 10.5
60.0 7 15 35.0 10.0
59.5 8 11 34.5 1 9.5
59.0 10 12 34.0 1 9.0
58.5 7 12 33.5 8.5 1
58.0 8 8 33.0 1 1 8.0
57.5 3 10 32.5 1 7.5
57.0 6 6 32.0 1 7.0
56.5 8 13 31.5 1 6.5
56.0 1 5 31.0 6.0 1
55.5 7 8 30.5 5.5
55.0 5 7 30.0 4 6 5.0
54.5 5 9 29.5 4.5
54.0 8 9 29.0 4.0
53.5 4 5 28.5 1 3.5
53.0 1 6 28.0 2 3.0
52.5 4 27.5 2.5
52.0 4 3 27.0 2.0
51.5 5 4 26.5 2 2 1.5
51.0 2 5 26.0 1.0
50.5 1 7 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Texas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 1
143.0 1
140.5 1
139.5 1
138.0 1
137.0 1 1 1 1
136.0 1
133.5 1
132.5 1
131.0 1 1
129.0 1
127.5 1 1
126.5 1 1
125.5 2 1
124.0 1 1
123.0 1 2
122.5 1
122.0 3
121.5 1
120.5 1 1
119.5 3 3
119.0 1
118.5 1 4 3
118.0 2
117.0 1 2
116.0 4 1
115.0 1 2 4
114.5 1
112.5 1 2 4 8
111.5 1 5 4 1
111.0 1 1
110.0 1 3 5 1
109.0 1 1 11 12
108.5 1
108.0 2 16 14
107.5 1 4
106.5 3 5 4
106.0 3 1
105.5 2 1 13 14
105.0 3
104.5 1 2 15 10
104.0 2 4
103.0 1 3 8 9
102.0 1 3 23 24 1
101.5 3
101.0 1 7 34 45
100.5 1 7 11
99.5 1 14 19 2
99.0 2
98.5 1 5 5 23 23
98.0 1 3 1
97.5 3 3 17 10 1
97.0 9 10
96.0 1 3 27 21
95.5 3 1
95.0 2 3 12 48 63
94.5 2 14 4
94.0 1 3 10 15
93.5 1 2 1 14 17
93.0 1
92.5 1 4 3 28 31
92.0 4 2
91.5 1 2 2 33 23 1
91.0 6 8
90.5 1 2 3 18 22 1
90.0 1 1 18 22 1
89.5 1 2
89.0 2 12 45 58 5
88.5 10 8 1
88.0 4 6 24 26 2
87.5 1 1 11 14
87.0 1 2 19 10
86.5 1 1 28 19
86.0 5 2
85.5 4 2 32 38 1
85.0 1 1 9 4
84.5 4 5 28 23
84.0 2 3 2 30 23 1
83.5 4 2 10 14 1
83.0 2 8 12 40 47 2
82.5 8 2
82.0 1 10 9 36 31 3
81.5 1 1 1 7 11
81.0 5 3 35 23 4
80.5 1 2 1 23 26
80.0 1 3 14 9 3
79.5 3 7 33 26 2
79.0 1 1 4 15 1
78.5 1 5 9 35 32 2
78.0 1 2 2 16 12
77.5 1 1 1 7 2 23 19 3
77.0 1 3 4 39 39 1
76.5 3 11 8 1
76.0 1 5 5 29 22 4
75.5 1 1 15 4
75.0 1 4 5 27 23 2
74.5 1 2 1 19 12
74.0 1 2 4 1 8 22 5
73.5 1 1 4 3 27 16 1
73.0 1 4 9 12 4
72.5 1 6 3 36 22 3
72.0 1 1 13 19
71.5 1 7 2 15 20 4
71.0 1 2 4 23 17 1
70.5 2 2 12 15 2
70.0 3 3 19 13 1
69.5 1 11 6 1
69.0 4 3 17 11 3
68.5 3 2 17 16
68.0 1 1 1 21 13
67.5 1 1 11 10
67.0 16 7 2
66.5 3 17 10 2
66.0 1 1 1 18 13 2
65.5 3 2 18 8 3
65.0 19 19 2
64.5 2 10 5 1
64.0 3 3 20 11 4
63.5 1 1 9 1 1
63.0 2 2 13 6 2
62.5 1 1 11 14 2
62.0 2 5 9 4
61.5 1 15 11 2
61.0 1 1 2 6
60.5 1 1 3 4 10 12
60.0 2 2 10 9 1
59.5 2 1 10 6 1
59.0 1 12 10 1
58.5 1 10 7 2
58.0 1 4 11 1
57.5 1 2 6 4
57.0 1 2 9 2
56.5 1 12 9
56.0 3 3 1
55.5 3 1 6 6 2
55.0 1 5 6
54.5 1 1 1 6 6 2
54.0 11 8
53.5 1 1 6 2 1
53.0 1 2 4
52.5 3 1
52.0 3 4
51.5 5 4 1
51.0 4 3 1
50.5 1 4 3
50.0 6 1 1
49.5 6 2 1
49.0 2 3
48.5 4 2
48.0 7 6 2
47.5 1 1
47.0 3 2
46.5 1 6 3
46.0 1 1 4 1 1
45.5 4
45.0 1 2
44.5 2 6
44.0 1 2 4
43.5 1
42.5 5 1
42.0 8 11
41.5 2 1
41.0 2
40.0 1
39.5 1
39.0 1 1 1
38.5 3 1
38.0 1 1
37.5 2
37.0 1 1
36.5 1 2 1
36.0 1 7 12
35.5 1 2
34.5 1
34.0 1
33.5 1
33.0 2
32.5 1
32.0 1
31.5 1
30.0 4 6
28.5 1
28.0 2
26.5 1 3
24.0 1 1
19.5 1
18.0 2 1
12.5 1
12.0 1
8.5 1
6.0 1
American Mathematics Competitions
2005 AMC 12 A Results for Texas
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 0.05 0.10 9.51* 0.12 0.17 0.00
2 0.02 9.46* 0.15 0.29 0.02 0.07 0.00
3 0.35 4.49* 1.05 0.42 0.48 3.20 0.00
4 7.02* 0.35 2.42 0.06 0.02 0.13 0.00
5 0.18 7.19* 1.66 0.10 0.07 0.79 0.00
6 0.57 5.08* 0.26 0.33 0.71 3.04 0.00
7 0.48 0.19 7.25* 0.08 0.07 1.93 0.00
8 0.32 0.43 0.38 2.13* 0.22 6.51 0.00
9 3.53* 0.42 0.84 0.31 0.12 4.78 0.00
10 0.36 3.17* 0.17 0.61 0.08 5.60 0.00
11 0.96 0.36 0.37 0.43 3.27* 4.60 0.00
12 0.76 0.25 0.19 3.84* 1.36 3.59 0.00
13 0.14 0.22 0.40 2.88* 0.31 6.06 0.00
14 0.34 0.34 2.85 0.87* 0.33 5.27 0.00
15 0.21 0.31 1.25* 0.79 0.62 6.82 0.00
16 0.21 0.25 0.78 0.59* 0.33 7.83 0.00
17 1.59* 0.88 1.13 0.30 0.37 5.73 0.00
18 0.27* 0.36 0.23 0.23 0.17 8.75 0.00
19 0.69 2.05* 0.93 0.43 0.62 5.29 0.00
20 0.26 0.13 0.15 0.13 0.17* 9.16 0.00
21 0.31 0.39 0.34* 0.20 0.06 8.72 0.00
22 0.35 0.38* 0.25 0.27 0.19 8.56 0.00
23 0.44 0.41* 0.14 0.17 0.30 8.54 0.00
24 0.11 0.11* 0.18 0.20 0.04 9.36 0.00
25 0.25 0.21 0.17* 0.12 0.06 9.19 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 Texas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 100.0 1
149.5 124.5 99.5 1
149.0 124.0 1 1 99.0 3 1
148.5 123.5 98.5 5 2
148.0 123.0 1 98.0 4 3
147.5 122.5 97.5 3 1
147.0 122.0 97.0 2
146.5 121.5 96.5
146.0 121.0 96.0 3 5
145.5 120.5 95.5 1 1
145.0 120.0 95.0 2
144.5 119.5 94.5 2 1
144.0 119.0 1 94.0 1
143.5 118.5 93.5 4 4
143.0 118.0 1 93.0 2
142.5 117.5 92.5 5 3
142.0 117.0 1 1 92.0 4 4
141.5 116.5 91.5
141.0 116.0 1 91.0 1 5
140.5 3 115.5 90.5 1
140.0 115.0 90.0 2 1
139.5 114.5 89.5 2 2
139.0 114.0 89.0 2 3
138.5 113.5 2 88.5 2 3
138.0 1 113.0 88.0 1 1
137.5 112.5 2 2 87.5 5 4
137.0 112.0 87.0 2 1
136.5 111.5 86.5 2 1
136.0 111.0 2 1 86.0 2 1
135.5 110.5 85.5 5 3
135.0 110.0 3 1 85.0 8 3
134.5 109.5 2 84.5 1 4
134.0 109.0 3 1 84.0 5 4
133.5 108.5 2 1 83.5 3 4
133.0 108.0 1 83.0 5 4
132.5 1 107.5 2 1 82.5 4
132.0 1 107.0 82.0 1
131.5 106.5 4 81.5 4 7
131.0 1 106.0 1 81.0 1 1
130.5 105.5 2 1 80.5 10 3
130.0 105.0 1 1 80.0 4 1
129.5 104.5 1 1 79.5 3 4
129.0 104.0 6 79.0 5 1
128.5 1 103.5 78.5 4 2
128.0 103.0 3 1 78.0 3 7
127.5 1 102.5 1 77.5 2 1
127.0 102.0 4 77.0 1 3
126.5 3 101.5 5 76.5 1 3
126.0 101.0 76.0 1 3
125.5 100.5 2 1 75.5 1 3
American Mathematics Competitions
2005 AMC 10 B Results for Texas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 2 50.0 1 25.0
74.5 6 2 49.5 2 24.5
74.0 4 3 49.0 2 24.0 1
73.5 5 4 48.5 2 23.5
73.0 2 2 48.0 3 2 23.0
72.5 2 1 47.5 22.5
72.0 5 4 47.0 22.0 1
71.5 4 1 46.5 1 3 21.5
71.0 3 5 46.0 21.0
70.5 2 4 45.5 1 20.5
70.0 1 45.0 1 20.0
69.5 2 2 44.5 2 19.5
69.0 1 1 44.0 19.0
68.5 2 1 43.5 18.5
68.0 2 3 43.0 1 2 18.0
67.5 2 1 42.5 17.5
67.0 1 1 42.0 2 2 17.0
66.5 1 1 41.5 16.5
66.0 5 1 41.0 1 16.0
65.5 2 40.5 15.5
65.0 3 2 40.0 1 15.0
64.5 4 4 39.5 14.5
64.0 3 4 39.0 14.0
63.5 3 38.5 1 13.5
63.0 2 2 38.0 2 13.0
62.5 3 3 37.5 1 12.5
62.0 1 37.0 12.0 1
61.5 1 3 36.5 11.5
61.0 3 2 36.0 1 11.0
60.5 1 3 35.5 10.5
60.0 5 6 35.0 10.0
59.5 2 1 34.5 9.5
59.0 1 2 34.0 9.0
58.5 1 2 33.5 8.5
58.0 2 33.0 8.0
57.5 1 2 32.5 1 7.5
57.0 3 32.0 7.0
56.5 1 31.5 6.5
56.0 1 31.0 1 6.0
55.5 1 30.5 5.5
55.0 1 30.0 1 3 5.0
54.5 1 3 29.5 4.5
54.0 7 29.0 4.0
53.5 2 28.5 3.5
53.0 28.0 3.0
52.5 1 27.5 2.5
52.0 2 27.0 2.0
51.5 2 26.5 1 1.5
51.0 26.0 1.0
50.5 1 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Texas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
140.5 2 1
138.0 1
132.5 1
132.0 1
131.0 1
128.5 1
127.5 1
126.5 2 1
125.0 1
124.0 1 1
123.0 1
119.0 1
118.0 1
117.0 2
116.0 1
113.5 2
112.5 3 1
111.0 1 2
110.0 2 3
109.5 1 1
109.0 2 2
108.5 2 1
108.0 1
107.5 1 2
106.5 3 2
106.0 1
105.5 3
105.0 2
104.5 1 1
104.0 3 3
103.0 1 3
102.5 1
102.0 2 2 1
101.5 1 4
100.5 3
100.0 1
99.5 1
99.0 4
98.5 3 4
98.0 1 7
97.5 2 2
97.0 1 1
96.0 4 5
95.5 2
95.0 1 1
94.5 3 1
94.0 1
93.5 4 4
93.0 1 1
92.5 9
92.0 2 7
91.0 3 3
90.5 1
90.0 1 2 2
89.5 4
89.0 1 4 1
88.5 2 3
88.0 1 1
87.5 3 6
87.0 1 2
86.5 2 1
86.0 5
85.5 6 4
85.0 1 10
84.5 2 2 1
84.0 4 6 1
83.5 4 3
83.0 5 5
82.5 2 2
82.0 1 1 1
81.5 6 5 1
81.0 1 1
80.5 6 7
80.0 1 4
79.5 4 4
79.0 2 5
78.5 3 3 1
78.0 1 10
77.5 2 1
77.0 1 3
76.5 1 3
76.0 2 3
75.5 4
75.0 3
74.5 4 4
74.0 3 4
73.5 6 3
73.0 4
72.5 3
72.0 2 7
71.5 2 3
71.0 3 5
70.5 3 3
70.0 1
69.5 1 3
69.0 1 1
68.5 1 3
68.0 3 2
67.5 1 2
67.0 2
66.5 2 1
66.0 4 2
65.5 1 1
65.0 1 4
64.5 5 3
64.0 1 6
63.5 1 2
63.0 4
62.5 2 4
62.0 1
61.5 1 3
61.0 2 3
60.5 2 2
60.0 10 2
59.5 1 2
59.0 2 1
58.5 2 1
58.0 2
57.5 3
57.0 2 3
56.5 1
56.0 1
55.5 1
55.0 1
54.5 4
54.0 2 4 1
53.5 2
52.5 1
52.0 1 1
51.5 1 2
50.5 1
50.0 1
49.5 2
49.0 1 1
48.5 2
48.0 2 3
46.5 1 3
45.5 1
45.0 1
44.5 2
43.0 2 1
42.0 4
41.0 1
40.0 1
38.5 1
38.0 1 1
37.5 1
36.0 1
32.5 1
31.0 1
30.0 4 1
26.5 1
25.5 1
24.0 1
22.0 1
12.0 1
American Mathematics Competitions
2005 AMC 10 B Results for Texas
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 8.57* 0.24 0.52 0.13 0.42 0.12 0.00
2 0.08 0.30 0.18 8.59* 0.29 0.55 0.00
3 0.00 0.71 2.24 5.83* 0.76 0.47 0.00
4 0.72 0.03 0.76 5.56* 0.22 2.71 0.00
5 0.15 0.03 8.77* 0.07 0.57 0.40 0.00
6 0.13 8.34* 0.15 0.29 0.20 0.89 0.00
7 0.97 2.07* 0.35 1.18 0.81 4.62 0.00
8 6.49* 0.12 1.24 0.03 0.05 2.07 0.00
9 0.61 0.71 1.97 4.99* 0.40 1.33 0.00
10 1.66* 0.86 0.67 0.40 0.29 6.12 0.00
11 0.17 0.66 0.25 2.05 1.97* 4.89 0.02
12 0.55 1.36 0.64 0.35 0.64* 6.45 0.00
13 0.54 0.59 1.92* 1.87 0.39 4.71 0.00
14 0.44 0.29 2.18* 1.60 0.61 4.89 0.00
15 1.29 0.61 0.77 3.66* 0.82 2.81 0.03
16 0.47 0.87 0.89 0.57* 0.15 7.04 0.00
17 0.55 3.04* 0.99 0.44 0.22 4.76 0.00
18 0.42 4.52 1.09 2.30* 0.50 1.14 0.02
19 0.50 6.40* 0.22 0.47 0.39 2.02 0.00
20 0.52 0.49 1.26* 0.44 0.32 6.97 0.00
21 0.37* 0.55 0.42 0.49 0.22 7.95 0.00
22 0.66 1.01 0.66* 0.47 0.30 6.91 0.00
23 2.50 0.54 0.81* 0.29 0.18 5.68 0.00
24 0.45 0.22 0.24 0.50 1.24* 7.34 0.00
25 0.32 0.32 3.29* 0.25 0.24 5.58 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 Texas
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 8 2
149.0 124.0 1 1 99.0 1
148.5 123.5 98.5 9 9
148.0 123.0 98.0 2 2
147.5 122.5 97.5 6 2
147.0 122.0 2 97.0 9 6
146.5 121.5 3 96.5
146.0 121.0 96.0 16 2
145.5 120.5 2 95.5 1
145.0 120.0 95.0 22 7
144.5 119.5 3 94.5 5
144.0 2 119.0 94.0 2
143.5 118.5 1 2 93.5 12
143.0 118.0 93.0 1 1
142.5 117.5 92.5 12 9
142.0 117.0 2 92.0 2
141.5 116.5 1 91.5 12 2
141.0 116.0 1 2 91.0 10 1
140.5 115.5 1 90.5 2 2
140.0 115.0 1 90.0 12 3
139.5 114.5 2 89.5
139.0 114.0 1 89.0 34 9
138.5 113.5 5 1 88.5 4 2
138.0 113.0 88.0 5 2
137.5 112.5 4 1 87.5 9 5
137.0 2 112.0 1 87.0 3
136.5 111.5 4 1 86.5 16 8
136.0 2 111.0 2 86.0 4
135.5 110.5 85.5 10 1
135.0 110.0 1 1 85.0 10 4
134.5 109.5 84.5 3 5
134.0 109.0 3 2 84.0 9 6
133.5 1 108.5 1 83.5 4 1
133.0 108.0 3 3 83.0 20 8
132.5 107.5 2 82.5 2
132.0 107.0 1 82.0 6 4
131.5 106.5 4 2 81.5 5 2
131.0 106.0 81.0 2 1
130.5 105.5 6 2 80.5 9 6
130.0 4 105.0 1 80.0 3 2
129.5 104.5 9 3 79.5 4 9
129.0 2 104.0 5 1 79.0 2 4
128.5 103.5 78.5 7 4
128.0 103.0 7 4 78.0 10 5
127.5 102.5 1 77.5 2 1
127.0 102.0 11 3 77.0 8 3
126.5 1 101.5 2 76.5 2 2
126.0 101.0 10 5 76.0 3 4
125.5 100.5 2 1 75.5 7 1
American Mathematics Competitions
2005 AMC 12 B Results for Texas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 1 50.0 1 25.0
74.5 4 2 49.5 24.5
74.0 2 2 49.0 1 24.0 1 1
73.5 6 4 48.5 23.5
73.0 3 3 48.0 5 23.0
72.5 4 1 47.5 22.5
72.0 5 2 47.0 22.0
71.5 1 46.5 21.5
71.0 5 2 46.0 21.0
70.5 1 2 45.5 20.5
70.0 3 1 45.0 1 20.0
69.5 3 44.5 1 19.5
69.0 1 2 44.0 19.0
68.5 1 1 43.5 1 18.5
68.0 2 2 43.0 18.0
67.5 2 42.5 1 17.5
67.0 5 1 42.0 1 17.0
66.5 1 1 41.5 2 16.5
66.0 5 2 41.0 1 16.0
65.5 1 3 40.5 15.5
65.0 2 40.0 1 15.0
64.5 1 2 39.5 14.5
64.0 3 4 39.0 14.0
63.5 2 1 38.5 13.5
63.0 1 38.0 13.0
62.5 2 1 37.5 12.5
62.0 2 37.0 12.0
61.5 1 1 36.5 11.5
61.0 3 4 36.0 11.0
60.5 1 1 35.5 10.5
60.0 1 35.0 10.0
59.5 2 34.5 9.5
59.0 1 34.0 9.0
58.5 1 3 33.5 8.5
58.0 1 33.0 8.0
57.5 32.5 7.5
57.0 2 1 32.0 7.0
56.5 1 1 31.5 6.5
56.0 1 31.0 6.0
55.5 1 30.5 5.5
55.0 2 2 30.0 5.0
54.5 1 1 29.5 4.5
54.0 4 2 29.0 4.0
53.5 28.5 3.5
53.0 28.0 3.0
52.5 1 27.5 2.5
52.0 1 1 27.0 2.0
51.5 1 26.5 1.5
51.0 2 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Texas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
144.0 2
137.0 1 1
136.0 1 1
133.5 1
130.0 1 3
129.0 1 1
126.5 1
124.0 1 1
122.0 1 1
121.5 1 2
120.5 1 1
119.5 2 1
118.5 1 2 1
117.0 1 1
116.5 1
116.0 1 2
115.5 1
115.0 1
114.5 2
114.0 1
113.5 2 2 1 1
112.5 2 2 1
112.0 1
111.5 1 1 3
111.0 1 1
110.0 1 1
109.0 1 2 2
108.5 1
108.0 1 3 2
107.5 1 1
107.0 1
106.5 1 1 6
105.5 8 1
105.0 1
104.5 1 3 5 3
104.0 1 1 1 3
103.0 1 1 8 3
102.5 1
102.0 3 5 6
101.5 1 1
101.0 1 2 9 4
100.5 2 1
99.5 2 5 3
99.0 1
98.5 3 10 5
98.0 1 3
97.5 2 1 4 1
97.0 1 1 5 8
96.0 1 4 7 6
95.5 1
95.0 1 1 1 12 14
94.5 1 2 2
94.0 1 1
93.5 7 6
93.0 1 1
92.5 2 11 8
92.0 2
91.5 4 1 6 4
91.0 2 1 5 4
90.5 1 2 1
90.0 2 9 5
89.0 4 5 18 16 2
88.5 1 2 3
88.0 1 4 2
87.5 1 6 7 1
87.0 3
86.5 1 1 12 12
86.0 1 1 1 1
85.5 1 4 7
85.0 8 6
84.5 2 2 1 3
84.0 1 1 4 9
83.5 1 2 3
83.0 2 3 11 13
82.5 1 2
82.0 1 5 5
81.5 3 4
81.0 1 2
80.5 1 2 9 4
80.0 1 3 1
79.5 1 1 8 3
79.0 2 4
78.5 1 2 2 3 3
78.0 3 6 6 1
77.5 1 2
77.0 1 1 6 4
76.5 1 3
76.0 1 6 2
75.5 1 2 5
75.0 1 3 1
74.5 2 2 3
74.0 1 1 2
73.5 1 2 4 3
73.0 1 2 3
72.5 3 2
72.0 2 3 2
71.5 1
71.0 5 2
70.5 1 2
70.0 1 3
69.5 2 1
69.0 1 1 1
68.5 1 1
68.0 4
67.5 1 1
67.0 1 2 4
66.5 2
66.0 1 6
65.5 1 3
65.0 2
64.5 3
64.0 7
63.5 2 1
63.0 1
62.5 1 2
62.0 2
61.5 1 1
61.0 6 1
60.5 1 1
60.0 1
59.5 2
59.0 1
58.5 2 2
58.0 1
57.0 2 1
56.5 1 1
56.0 1
55.5 1 1
55.0 1 1 2
54.5 1 1
54.0 5 1
52.5 1
52.0 2
51.5 1
51.0 1 1
50.5 1
50.0 1
49.0 1
48.0 3 2
45.0 1
44.5 1
43.5 1
42.5 1
42.0 1
41.5 2
41.0 1
40.0 1
24.0 1 1
American Mathematics Competitions
2005 AMC 12 B Results for Texas
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 9.48* 0.15 0.19 0.02 0.13 0.02 0.00
2 0.06 0.09 0.06 9.45* 0.12 0.22 0.00
3 0.04 0.04 9.50* 0.11 0.16 0.14 0.02
4 0.06 9.24* 0.20 0.19 0.13 0.19 0.00
5 8.31* 0.09 0.68 0.02 0.02 0.87 0.00
6 3.58* 0.85 0.60 0.37 0.35 4.24 0.00
7 1.03 1.51 0.25 2.83* 0.59 3.78 0.01
8 0.93 1.64 5.48* 0.05 0.71 1.19 0.00
9 0.26 8.41* 0.23 0.33 0.19 0.59 0.00
10 0.14 0.50 0.08 2.21 4.22* 2.85 0.00
11 1.11 1.10 0.71 4.45* 0.35 2.26 0.01
12 0.39 0.66 0.96 1.21* 0.07 6.72 0.00
13 0.36 0.29 0.25 2.55* 0.23 6.31 0.00
14 0.73 0.81 0.63 0.39 1.55* 5.90 0.00
15 0.40 0.25 0.39 5.59* 0.36 3.02 0.00
16 0.14 0.30 0.70 0.81* 0.27 7.78 0.00
17 0.35 0.62* 0.28 0.13 0.63 7.99 0.00
18 1.17 0.57 0.55* 0.36 0.32 7.03 0.00
19 0.22 0.19 0.13 0.26 2.67* 6.53 0.00
20 0.08 0.22 4.86* 0.57 1.50 2.76 0.00
21 0.13 0.21 0.70* 0.41 0.14 8.40 0.01
22 0.39 0.62 0.21 0.20 0.13* 8.45 0.00
23 0.12 0.30* 0.13 0.06 0.04 9.36 0.00
24 0.19* 0.21 0.20 0.19 0.15 9.06 0.00
25 0.21* 0.22 0.13 0.25 0.29 8.90 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
