American Mathematics Competitions
2005 AMC 10 A Results for Ohio
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3892
Number of unofficial participants: 78
Average score of participants: 69.7
Average score for female students is: 67.4 ( 1974 Students)
Average score for male students is: 72.4 ( 1753 Students)
Average score for unspecified gender is 69.0 ( 165 Students)
Average score for grade 10 is: 71.5 ( 2059 Students)
Average score for grade 9 is: 67.8 ( 1525 Students)
Average score for grade 8 and below is: 68.0 ( 242 Students)
Average score with unknown grade: 65.4 ( 66 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 15
Number of schools returning results 109
Average school winning score 97.71
American Mathematics Competitions
2005 AMC 12 A Results for Ohio
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 5120
Number of unofficial participants: 91
Average score of participants: 76.2
Average score for female students is: 73.2 ( 2388 Students)
Average score for male students is: 79.0 ( 2597 Students)
Average score for unspecified gender is 75.1 ( 135 Students)
Average score for grade 13 is: 73.3 ( 4 Students)
Average score for grade 12 is: 77.7 ( 2187 Students)
Average score for grade 11 is: 75.1 ( 2277 Students)
Average score for grade 10 is: 75.4 ( 480 Students)
Average score for grade 9 is: 72.9 ( 126 Students)
Average score for grade 8 and below is: 85.7 ( 6 Students)
Average score with unknown grade: 73.4 ( 40 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 304
Number of schools returning results 130
Average school winning score 102.55
Average school team score 292.26
American Mathematics Competitions
2005 AMC 10 B Results for Ohio
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1726
Number of unofficial participants: 0
Average score of participants: 77.8
Average score for female students is: 74.9 ( 683 Students)
Average score for male students is: 80.1 ( 958 Students)
Average score for unspecified gender is 75.4 ( 85 Students)
Average score for grade 10 is: 79.2 ( 874 Students)
Average score for grade 9 is: 77.1 ( 767 Students)
Average score for grade 8 and below is: 73.5 ( 62 Students)
Average score with unknown grade: 64.5 ( 23 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 16
Number of schools returning results 43
Average school winning score 106.62
American Mathematics Competitions
2005 AMC 12 B Results for Ohio
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1873
Number of unofficial participants: 136
Average score of participants: 83.8
Average score for female students is: 81.5 ( 744 Students)
Average score for male students is: 85.3 ( 1081 Students)
Average score for unspecified gender is 84.1 ( 48 Students)
Average score for grade 12 is: 84.7 ( 797 Students)
Average score for grade 11 is: 83.0 ( 949 Students)
Average score for grade 10 is: 83.3 ( 90 Students)
Average score for grade 9 is: 81.5 ( 22 Students)
Average score for grade 8 and below is: 100.3 ( 2 Students)
Average score with unknown grade: 85.1 ( 13 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 199
Number of schools returning results 57
Average school winning score 104.02
Average school team score 297.94
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
380.5 1 1
379.5 1 2
366.5 1 3
365.5 1 4
360.5 1 5
357.5 1 6
356.5 1 7
356.0 1 8
354.0 1 9
353.0 1 10
348.5 1 11
348.0 1 12
347.0 1 13
346.5 1 14
345.5 1 15
343.5 1 16
343.0 1 17
342.5 1 18
339.0 1 19
337.5 1 20
335.5 2 21
335.0 1 23
334.0 1 1 24
333.5 1 26
333.0 2 27
332.0 2 29
328.5 1 31
327.5 1 32
326.0 1 33
325.0 1 34
324.5 1 35
324.0 1 1 36
323.5 1 38
322.5 1 39
321.5 2 40
320.5 1 42
320.0 1 43
319.5 1 44
319.0 2 45
318.0 1 47
316.5 1 48
315.5 1 1 49
315.0 1 51
314.0 2 52
313.0 1 1 54
312.5 1 56
312.0 2 57
311.5 1 59
310.5 1 60
309.5 1 3 61
308.5 2 1 65
307.5 1 68
307.0 1 1 69
306.5 1 71
305.5 1 72
305.0 3 1 73
303.5 1 77
302.5 2 1 78
301.0 1 81
300.5 1 1 82
299.5 2 84
298.0 2 86
297.5 1 1 88
296.5 1 90
295.0 1 1 91
294.5 5 1 93
294.0 1 99
293.5 2 100
293.0 1 102
292.0 1 103
291.0 1 104
290.5 1 105
289.5 2 106
288.0 1 108
287.5 1 109
287.0 2 110
286.0 2 112
285.0 1 1 114
284.0 1 116
283.5 1 117
282.5 1 118
281.5 3 1 119
281.0 1 123
280.0 1 124
279.0 1 125
278.5 1 126
278.0 2 127
277.5 2 129
276.0 1 131
275.5 1 132
275.0 1 133
274.5 3 134
274.0 2 137
273.5 2 1 139
273.0 1 142
272.0 1 143
271.5 2 144
271.0 1 146
269.0 1 147
268.5 1 148
267.5 1 149
265.5 2 1 150
262.5 1 153
261.0 1 154
260.5 1 155
260.0 1 156
258.0 1 157
257.0 1 158
256.0 1 1 159
255.5 1 161
255.0 2 162
254.5 1 1 164
248.5 1 166
248.0 1 167
246.5 1 168
245.5 1 1 169
244.5 1 171
244.0 1 172
243.0 1 173
239.5 1 174
237.5 1 175
235.5 1 176
235.0 1 177
233.0 1 178
232.5 1 179
231.0 1 180
225.0 1 181
223.5 1 182
222.5 1 183
207.0 1 184
205.5 1 185
202.5 1 186
192.0 1 187
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
146.5 1
143.0 1
140.5 1
138.0 1
137.0 1
136.0 1
134.5 1 1
133.5 1 1 1
132.5 1
132.0 2
131.0 1 2
130.0 1 1 1
129.0 1 1
126.5 1 1 1
126.0 1
125.5 3
125.0 3
124.0 2 2
123.0 1 2
122.5 1
122.0 1
121.5 2 1
120.5 2 2 2 1
120.0 1
119.5 3 1 1 3
119.0 1 1
118.5 7 3
118.0 2
117.0 4 2 3 4
116.0 8 6 1 4
115.5 4
115.0 7 4 1 2
114.5 1 2 2 1
113.5 1 6 6
113.0 1
112.5 8 6 3 3
112.0 2
111.5 13 6 1
111.0 2 1 3 5
110.5 1
110.0 4 7 6 6
109.5 4
109.0 12 6 4 4
108.5 2 2
108.0 21 14 4 6
107.5 2 1 1 7
107.0 1
106.5 13 9 3 6
106.0 3
105.5 22 9 9 10
105.0 2 1 8 4
104.5 24 9 1 1
104.0 5 4 6 8
103.5 4
103.0 14 11 4 6
102.5 1 1 1 3
102.0 38 35 6 11
101.5 7 1 4 6
101.0 55 41 4 3
100.5 14 9 5 10
100.0 2 1
99.5 28 11 13 8
99.0 4 1 4 6
98.5 64 40 13 12
98.0 4 10 19 8
97.5 26 12 7 2
97.0 17 19 15 15
96.5 3 2
96.0 50 43 18 19
95.5 6 2 8 8
95.0 103 78 16 27
94.5 8 14 7 7
94.0 28 14 8 3
93.5 28 28 9 16
93.0 2 4 1
92.5 74 53 25 26
92.0 17 4 13 13
91.5 51 26 27 8
91.0 24 17 14 25
90.5 46 17 12 5
90.0 65 43 27 30
89.5 2 8 8 7
89.0 139 76 37 48
88.5 7 11 13 15
88.0 61 30 24 20
87.5 33 21 18 25
87.0 44 9 19 7
86.5 87 59 29 30
86.0 8 5 3 7
85.5 70 49 35 25
85.0 20 10 22 11
84.5 80 27 32 16
84.0 59 38 34 27
83.5 37 10 13 3
83.0 154 78 63 39
82.5 13 10 17 10
82.0 83 37 46 30
81.5 36 22 24 24
81.0 70 26 33 24
80.5 56 36 37 35
80.0 44 8 23 19
79.5 68 40 58 25
79.0 13 11 18 14
78.5 100 31 62 24
78.0 54 26 37 27
77.5 89 11 52 14
77.0 105 45 67 33
76.5 31 14 30 13
76.0 95 33 72 37
75.5 36 17 35 23
75.0 102 22 42 18
74.5 59 26 47 30
74.0 86 3 48 14
73.5 76 15 55 29
73.0 35 11 37 10
72.5 95 13 84 25
72.0 61 21 39 25
71.5 88 12 65 10
71.0 99 22 70 25
70.5 43 4 43 7
70.0 85 14 69 17
69.5 34 15 35 17
69.0 78 7 72 13
68.5 51 9 41 16
68.0 70 11 36 22
67.5 64 11 62 23
67.0 36 7 43 14
66.5 79 11 62 13
66.0 49 16 48 21
65.5 72 8 63 12
65.0 65 15 57 15
64.5 31 10 40 16
64.0 43 9 68 9
63.5 35 8 28 8
63.0 60 10 59 7
62.5 42 9 35 14
62.0 37 6 43 10
61.5 36 9 47 11
61.0 14 7 23 8
60.5 55 4 53 15
60.0 33 14 43 13
59.5 28 5 46 3
59.0 47 4 46 9
58.5 23 1 27 10
58.0 28 1 45 4
57.5 17 5 28 12
57.0 21 8 38 7
56.5 35 4 52 5
56.0 13 5 25 7
55.5 22 2 32 8
55.0 20 15 13
54.5 22 3 29 8
54.0 24 3 48 14
53.5 16 5 25 3
53.0 23 6 31 3
52.5 18 1 22 4
52.0 15 2 22 7
51.5 14 29 4
51.0 10 1 14 2
50.5 15 3 33 2
50.0 12 2 14 4
49.5 21 20 5
49.0 15 2 13 9
48.5 10 1 9 5
48.0 20 1 34 6
47.5 3 3 13 1
47.0 9 1 14 4
46.5 5 13
46.0 5 1 15 1
45.5 9 9 1
45.0 7 1 9 3
44.5 6 1 13 6
44.0 8 4 5
43.5 4 11 2
43.0 6 12 3
42.5 1 8 2
42.0 12 1 21 5
41.5 13 7 2
41.0 3 6 3
40.5 3 14 5
40.0 6 1 3 1
39.5 2 2 6 2
39.0 2 1 5 1
38.5 4 5 3
38.0 7 3
37.5 3 4
37.0 2 1 8 1
36.5 2 6 1
36.0 14 3 13 5
35.5 2 2
35.0 2 2 4
34.5 1 1
34.0 3 1
33.5 1 1
33.0 4 1 5 1
32.5 5
32.0 2
31.5 2 3 1
31.0 1
30.5 1 2
30.0 9 15 2
29.5 2 1 2
29.0 1
28.5 1 1
28.0 1 1
27.0 1 1
26.5 2 1 1
26.0 1
25.5 1
24.5 3 1
24.0 7 1 5
23.5 1 1
23.0 1
20.5 3
20.0 1
19.5 1 1
18.0 5
15.0 1
12.0 2 1
6.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Ohio
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 3 100.0
149.5 124.5 99.5 9 4
149.0 124.0 99.0 2 1
148.5 123.5 98.5 7 6
148.0 123.0 98.0 12 7
147.5 122.5 1 97.5 2 5
147.0 122.0 97.0 10 5
146.5 121.5 1 96.5 1 2
146.0 121.0 96.0 13 5
145.5 120.5 1 1 95.5 5 2
145.0 120.0 95.0 8 7
144.5 119.5 1 94.5 5 2
144.0 119.0 1 94.0 1 5
143.5 118.5 93.5 5 4
143.0 118.0 2 93.0 3 1
142.5 117.5 92.5 14 11
142.0 117.0 2 92.0 8 3
141.5 116.5 91.5 10 17
141.0 116.0 1 91.0 8 6
140.5 1 115.5 3 1 90.5 7 4
140.0 115.0 90.0 17 9
139.5 114.5 2 89.5 4 3
139.0 114.0 89.0 20 15
138.5 113.5 4 2 88.5 11 2
138.0 113.0 88.0 10 14
137.5 112.5 3 87.5 10 8
137.0 1 112.0 2 87.0 16 3
136.5 111.5 86.5 15 11
136.0 111.0 3 86.0 2 1
135.5 110.5 1 85.5 13 20
135.0 110.0 5 1 85.0 12 10
134.5 1 109.5 4 84.5 16 14
134.0 109.0 3 1 84.0 14 20
133.5 108.5 2 83.5 3 8
133.0 108.0 3 1 83.0 34 25
132.5 107.5 1 82.5 10 6
132.0 2 107.0 82.0 22 22
131.5 106.5 1 2 81.5 14 10
131.0 106.0 2 81.0 19 13
130.5 105.5 6 3 80.5 16 20
130.0 105.0 6 80.0 10 12
129.5 104.5 1 79.5 28 28
129.0 104.0 4 2 79.0 7 11
128.5 103.5 2 2 78.5 31 30
128.0 103.0 1 2 78.0 17 18
127.5 102.5 1 77.5 29 21
127.0 102.0 5 1 77.0 30 35
126.5 1 101.5 3 1 76.5 16 14
126.0 1 101.0 1 2 76.0 32 36
125.5 100.5 4 1 75.5 17 17
American Mathematics Competitions
2005 AMC 10 A Results for Ohio
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 21 19 50.0 4 10 25.0
74.5 27 19 49.5 9 11 24.5 3
74.0 22 25 49.0 5 8 24.0 2 3
73.5 16 36 48.5 5 3 23.5 1
73.0 16 20 48.0 12 21 23.0 1
72.5 42 39 47.5 5 7 22.5
72.0 15 20 47.0 7 7 22.0
71.5 26 36 46.5 5 7 21.5
71.0 29 37 46.0 13 21.0
70.5 16 25 45.5 3 4 20.5 1 2
70.0 29 39 45.0 5 3 20.0 1
69.5 12 21 44.5 6 6 19.5 1
69.0 35 33 44.0 1 3 19.0
68.5 22 17 43.5 4 7 18.5
68.0 14 21 43.0 3 9 18.0 3
67.5 35 24 42.5 1 6 17.5
67.0 15 27 42.0 9 10 17.0
66.5 26 31 41.5 2 3 16.5
66.0 22 22 41.0 3 3 16.0
65.5 27 34 40.5 4 9 15.5
65.0 21 33 40.0 3 15.0
64.5 17 23 39.5 6 14.5
64.0 30 36 39.0 1 4 14.0
63.5 12 16 38.5 5 13.5
63.0 24 34 38.0 1 6 13.0
62.5 13 20 37.5 2 2 12.5
62.0 18 22 37.0 2 6 12.0
61.5 17 28 36.5 4 2 11.5
61.0 7 15 36.0 2 10 11.0
60.5 26 24 35.5 1 1 10.5
60.0 22 19 35.0 2 2 10.0
59.5 25 21 34.5 1 9.5
59.0 18 28 34.0 1 9.0
58.5 11 15 33.5 1 8.5
58.0 19 26 33.0 1 4 8.0
57.5 8 19 32.5 1 3 7.5
57.0 17 18 32.0 7.0
56.5 19 28 31.5 2 1 6.5
56.0 6 17 31.0 6.0 1
55.5 9 22 30.5 1 1 5.5
55.0 6 8 30.0 8 7 5.0
54.5 11 17 29.5 1 4.5
54.0 18 29 29.0 4.0
53.5 11 14 28.5 3.5
53.0 9 21 28.0 1 3.0
52.5 9 12 27.5 2.5
52.0 7 14 27.0 1 2.0
51.5 13 14 26.5 1 1.5
51.0 7 6 26.0 1.0
50.5 12 19 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Ohio
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
140.5 1
137.0 1
134.5 1
132.0 1 1
126.5 1
126.0 1
125.0 3
122.5 1
121.5 1 1
120.5 2
119.5 1
119.0 1
118.0 1 1
117.0 2 1
116.0 1
115.5 2 2
115.0 1
114.5 1 1
113.5 1 5
112.5 2 1
112.0 1 1
111.0 1 1 1
110.5 1
110.0 2 4
109.5 2 2
109.0 1 3
108.5 2
108.0 1 3
107.5 1
106.5 2 1
106.0 3
105.5 1 4 4
105.0 1 1 6
104.5 1
104.0 1 2 3
103.5 1 1 2
103.0 1 1 2
102.5 1
102.0 2 4
101.5 2 2
101.0 1 3
100.5 3 2
99.5 3 10
99.0 4
98.5 3 10
98.0 1 1 4 13
97.5 1 6
97.0 4 11
96.5 3
96.0 1 6 11
95.5 1 4 3
95.0 4 12
94.5 2 5
94.0 1 7
93.5 4 5
93.0 2 2
92.5 4 21
92.0 4 1 7 1
91.5 1 10 16
91.0 4 10
90.5 3 8 1
90.0 1 2 4 20
89.5 1 3 4
89.0 1 1 8 26 1
88.5 1 1 3 8
88.0 1 1 7 15
87.5 4 14
87.0 8 11
86.5 2 10 15 2
86.0 3
85.5 1 1 11 19 3
85.0 1 3 18
84.5 1 1 14 16
84.0 14 20
83.5 7 6
83.0 3 1 3 23 31 2
82.5 1 1 6 9
82.0 1 18 25 2
81.5 8 16
81.0 1 3 8 21
80.5 18 19
80.0 1 10 12
79.5 1 19 38
79.0 8 10
78.5 1 26 35
78.0 1 1 15 19 1
77.5 3 22 26 1
77.0 1 1 1 32 31 1
76.5 8 22
76.0 1 2 30 37 2
75.5 1 11 21 2
75.0 3 18 20 1
74.5 1 18 28
74.0 2 17 28 1
73.5 1 1 19 34
73.0 1 1 15 20
72.5 6 28 48 2
72.0 1 18 18 2
71.5 1 2 34 27 1
71.0 2 2 17 47 2
70.5 2 17 23 1
70.0 2 5 26 36
69.5 15 19 1
69.0 1 7 33 31
68.5 21 20
68.0 1 3 20 11 1
67.5 1 1 27 32 1
67.0 2 16 25
66.5 1 2 29 29 1
66.0 2 1 17 26 2
65.5 2 5 33 22 1
65.0 1 2 23 30 1
64.5 1 3 17 18 1
64.0 1 1 6 31 29
63.5 1 6 21
63.0 1 2 29 27
62.5 1 1 9 22 2
62.0 1 3 17 21 1
61.5 3 18 24 2
61.0 1 10 11 1
60.5 1 3 22 26 1
60.0 1 16 24 2
59.5 1 3 16 25 1
59.0 5 19 22
58.5 1 15 11
58.0 1 2 20 22
57.5 1 2 10 14 1
57.0 2 1 15 18 2
56.5 1 6 20 24 1
56.0 1 12 12
55.5 1 14 15 2
55.0 5 10
54.5 2 17 10
54.0 5 18 24 1
53.5 3 12 10
53.0 13 18
52.5 9 13
52.0 3 10 8 1
51.5 1 10 17 1
51.0 10 4
50.5 1 1 21 10
50.0 1 7 6
49.5 1 10 9
49.0 2 7 4
48.5 7 2
48.0 2 15 17
47.5 2 4 7
47.0 4 3 7
46.5 1 6 6
46.0 2 5 7 1
45.5 3 6
45.0 1 3 4 1
44.5 2 9 2
44.0 1 3
43.5 1 7 2 1
43.0 3 9
42.5 4 4
42.0 2 10 9
41.5 2 3 1 1
41.0 1 2 3
40.5 8 6
40.0 1 2
39.5 2 4
39.0 2 3
38.5 2 3
38.0 3 3 1
37.5 1 2 1
37.0 4 4
36.5 5 1
36.0 1 5 7
35.5 1 1
35.0 1 3
34.5 1
34.0 1
33.5 1
33.0 2 3
32.5 1 2 1 1
31.5 1 2
30.5 1 1
30.0 7 8
29.5 1
28.0 1
27.0 1
26.5 1
25.5 1
24.5 3
24.0 2 3
23.5 1
23.0 1
20.5 2 1
20.0 1
19.5 1
18.0 2 1 1 1
6.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Ohio
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 0.22 0.15 0.34 8.46* 0.52 0.30 0.00
2 0.17 0.14 4.54* 0.11 1.67 3.36 0.00
3 0.06 8.60* 0.42 0.43 0.13 0.36 0.00
4 0.43 1.03* 2.05 0.59 0.52 5.39 0.00
5 5.23* 0.45 4.00 0.10 0.06 0.15 0.00
6 0.30 4.15* 3.65 0.13 0.10 1.68 0.00
7 0.82 3.12* 0.32 0.41 0.75 4.59 0.00
8 1.18 0.28 3.02* 0.15 0.15 5.21 0.00
9 1.21 5.41* 1.09 0.20 0.21 1.88 0.00
10 1.13* 0.37 1.06 0.27 0.12 7.04 0.00
11 0.49 1.69* 0.17 0.67 0.11 6.88 0.00
12 0.31 0.64* 0.48 0.21 0.44 7.91 0.00
13 1.35 0.48 0.29 0.30 0.56* 7.03 0.00
14 0.69 0.51 0.36 0.39 1.84* 6.21 0.00
15 0.32 0.58 0.62 0.82 0.69* 6.97 0.00
16 0.62 0.35 0.65 1.59* 0.12 6.67 0.00
17 0.34 0.32 0.41 1.82* 0.47 6.64 0.00
18 1.50* 1.77 1.17 3.24 0.30 2.01 0.00
19 0.46 0.72 0.77 2.62* 0.67 4.76 0.00
20 0.38* 0.38 0.52 0.40 0.27 8.04 0.00
21 1.42 0.59* 0.20 0.29 0.59 6.92 0.00
22 0.74 0.50 0.31 1.79* 0.48 6.18 0.00
23 0.16 0.39 1.05* 0.95 0.76 6.69 0.00
24 0.92 0.65* 0.23 0.13 0.10 7.98 0.00
25 0.32 0.57 0.84 0.63* 0.11 7.54 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 Ohio
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 19 8
149.0 124.0 1 1 99.0 4
148.5 123.5 98.5 38 23
148.0 123.0 1 98.0 3 1
147.5 122.5 97.5 16 9
147.0 122.0 97.0 15 2
146.5 121.5 96.5
146.0 121.0 96.0 32 16
145.5 120.5 2 95.5 5 1
145.0 120.0 95.0 66 37
144.5 119.5 3 94.5 4 4
144.0 119.0 1 94.0 18 8
143.5 118.5 6 1 93.5 19 7
143.0 1 118.0 93.0 2
142.5 117.5 92.5 43 28
142.0 117.0 3 1 92.0 9 5
141.5 116.5 91.5 29 19
141.0 116.0 6 2 91.0 19 5
140.5 115.5 90.5 19 26
140.0 115.0 5 2 90.0 45 19
139.5 114.5 1 89.5 1 1
139.0 114.0 89.0 88 45
138.5 113.5 1 88.5 4 3
138.0 113.0 88.0 29 30
137.5 112.5 7 1 87.5 19 13
137.0 112.0 87.0 24 19
136.5 111.5 7 6 86.5 58 29
136.0 111.0 1 1 86.0 7 1
135.5 110.5 85.5 34 35
135.0 110.0 4 85.0 13 7
134.5 109.5 84.5 41 37
134.0 109.0 9 3 84.0 40 19
133.5 1 108.5 2 83.5 13 22
133.0 108.0 13 8 83.0 87 61
132.5 107.5 2 82.5 7 6
132.0 107.0 82.0 38 43
131.5 106.5 10 3 81.5 24 11
131.0 1 106.0 81.0 27 42
130.5 105.5 19 3 80.5 40 15
130.0 1 105.0 2 80.0 17 25
129.5 104.5 18 5 79.5 28 40
129.0 104.0 4 1 79.0 8 5
128.5 103.5 78.5 50 45
128.0 103.0 10 3 78.0 27 26
127.5 102.5 1 77.5 40 46
127.0 102.0 26 11 77.0 60 42
126.5 1 101.5 6 1 76.5 11 20
126.0 101.0 40 15 76.0 40 54
125.5 3 100.5 10 2 75.5 18 16
American Mathematics Competitions
2005 AMC 12 A Results for Ohio
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 49 53 50.0 5 6 25.0
74.5 31 24 49.5 9 12 24.5
74.0 35 50 49.0 3 12 24.0 3 4
73.5 32 43 48.5 2 8 23.5
73.0 17 17 48.0 9 9 23.0
72.5 41 51 47.5 1 2 22.5
72.0 40 21 47.0 6 3 22.0
71.5 42 45 46.5 4 21.5
71.0 56 39 46.0 3 2 21.0
70.5 18 25 45.5 4 5 20.5
70.0 40 43 45.0 4 3 20.0
69.5 16 16 44.5 3 3 19.5
69.0 34 39 44.0 3 5 19.0
68.5 27 23 43.5 4 18.5
68.0 32 36 43.0 6 18.0
67.5 32 31 42.5 1 17.5
67.0 20 16 42.0 7 5 17.0
66.5 31 48 41.5 4 9 16.5
66.0 17 29 41.0 3 16.0
65.5 21 47 40.5 1 2 15.5
65.0 31 33 40.0 2 1 15.0 1
64.5 14 16 39.5 2 14.5
64.0 19 23 39.0 1 1 14.0
63.5 13 22 38.5 2 2 13.5
63.0 18 41 38.0 13.0
62.5 9 28 37.5 2 1 12.5
62.0 17 20 37.0 2 12.0 1 1
61.5 10 25 36.5 2 11.5
61.0 4 10 36.0 7 5 11.0
60.5 25 30 35.5 1 1 10.5
60.0 13 19 35.0 2 10.0
59.5 11 17 34.5 1 9.5
59.0 26 18 34.0 1 2 9.0
58.5 10 13 33.5 1 8.5
58.0 10 18 33.0 4 8.0
57.5 5 12 32.5 7.5
57.0 8 13 32.0 2 7.0
56.5 17 15 31.5 1 6.5
56.0 1 12 31.0 1 6.0
55.5 7 15 30.5 1 5.5
55.0 10 10 30.0 5 4 5.0
54.5 4 18 29.5 1 1 4.5
54.0 14 10 29.0 1 4.0
53.5 9 7 28.5 1 3.5
53.0 9 13 28.0 1 3.0
52.5 7 11 27.5 2.5
52.0 6 9 27.0 2.0
51.5 4 9 26.5 1 1 1.5
51.0 3 7 26.0 1.0
50.5 4 11 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Ohio
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
143.0 1
133.5 1
131.0 1
130.0 1
126.5 1
125.5 1 1 1
124.0 1 1
123.0 1
120.5 2
119.5 2 1
119.0 1
118.5 1 1 5
117.0 1 3
116.0 1 1 4 2
115.0 2 5
114.5 1
113.5 1
112.5 2 6
111.5 1 7 5
111.0 1 1
110.0 1 2 1
109.0 1 1 6 4
108.5 2
108.0 8 13
107.5 2
106.5 3 2 8
105.5 4 10 8
105.0 1 1
104.5 1 9 14
104.0 1 4
103.0 1 2 11
102.5 1
102.0 2 4 15 16 1
101.5 1 5 1
101.0 2 4 25 24
100.5 1 2 6 5
99.5 1 1 1 13 12
99.0 1 3
98.5 1 3 24 35 1
98.0 2 2
97.5 1 11 14
97.0 2 1 9 5
96.0 1 20 29
95.5 1 2 2 1
95.0 1 2 8 35 57
94.5 1 6 1
94.0 1 17 10
93.5 1 2 12 13
93.0 2
92.5 1 7 24 41 1
92.0 1 9 7
91.5 4 24 22 1
91.0 2 11 11
90.5 1 2 16 26 1
90.0 6 30 29
89.5 2
89.0 1 2 9 54 69 4
88.5 1 3 3
88.0 5 28 27 1
87.5 3 1 10 19
87.0 3 6 21 14
86.5 7 34 46
86.0 5 3
85.5 1 10 28 31
85.0 12 8
84.5 4 3 40 33
84.0 7 23 28 1
83.5 1 2 16 17 1
83.0 1 13 58 80 1 1
82.5 1 5 7
82.0 2 10 39 32
81.5 1 2 17 16
81.0 2 8 27 33
80.5 4 29 22 1
80.0 3 21 20
79.5 2 6 28 32
79.0 1 6 6
78.5 4 9 46 40 1
78.0 1 3 23 26 1
77.5 4 15 32 37 1
77.0 3 14 33 54 1
76.5 1 5 12 13
76.0 2 9 45 38 1
75.5 2 15 19
75.0 2 13 43 43 1
74.5 1 5 29 24
74.0 3 10 37 36
73.5 2 5 38 31
73.0 1 15 19
72.5 2 14 38 41
72.0 1 9 25 26
71.5 2 7 53 26
71.0 10 44 43 2
70.5 2 9 15 16 1
70.0 7 9 43 24 2
69.5 4 18 12
69.0 4 10 34 30
68.5 3 26 22
68.0 14 37 19
67.5 1 5 39 19
67.0 1 4 11 20
66.5 3 8 39 28 1
66.0 4 25 20
65.5 1 3 8 35 23 2
65.0 2 30 31 2
64.5 1 2 3 13 11 1
64.0 1 2 23 16 1
63.5 2 2 16 14 1
63.0 1 11 36 12
62.5 2 4 19 13 4
62.0 8 18 11
61.5 1 6 13 16
61.0 1 9 4
60.5 4 6 27 18
60.0 1 4 12 16
59.5 1 2 17 8
59.0 2 4 21 20
58.5 1 2 13 7
58.0 2 2 13 11
57.5 2 10 5
57.0 1 10 10
56.5 1 4 14 14 2
56.0 4 1 5 3
55.5 1 3 15 3
55.0 10 10
54.5 1 1 11 9
54.0 1 10 13
53.5 2 9 5
53.0 1 12 10
52.5 1 9 8
52.0 1 9 5
51.5 1 8 4 1
51.0 3 3 3 1
50.5 1 3 6 5
50.0 2 5 5
49.5 4 13 4
49.0 1 8 6
48.5 1 2 5 2
48.0 1 5 12 1 1
47.5 2 1
47.0 1 1 3 4
46.5 4 1
46.0 2 3
45.5 1 3 5
45.0 4 3
44.5 1 3 2
44.0 7 1
43.5 1 3
43.0 4 2
42.5 1
42.0 5 7
41.5 2 5 6
41.0 1 2
40.5 1 2
40.0 1 4 1
39.5 2
39.0 1 1
38.5 2 2
37.5 1 2
37.0 1 1
36.5 1 1
36.0 7 7
35.5 1 1
35.0 1 1
34.5 1
34.0 2 1
33.5 1
33.0 2 2
32.0 1 1
31.5 1 1
31.0 1
30.5 1
30.0 3 6
29.5 1 1
29.0 1
28.5 1
28.0 1
27.0 1
26.5 1 1
24.0 1 2 4
15.0 1
12.0 1 1
American Mathematics Competitions
2005 AMC 12 A Results for Ohio
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 0.07 0.11 9.41* 0.13 0.26 0.00
2 0.02 9.42* 0.19 0.24 0.03 0.10 0.00
3 0.39 3.38* 1.17 0.44 0.48 4.12 0.00
4 6.66* 0.35 2.76 0.07 0.03 0.13 0.00
5 0.21 6.30* 2.24 0.10 0.06 1.09 0.00
6 0.46 4.58* 0.27 0.29 0.67 3.73 0.00
7 0.62 0.19 6.48* 0.09 0.09 2.53 0.00
8 0.32 0.37 0.29 1.52* 0.21 7.29 0.00
9 2.89* 0.40 0.92 0.25 0.13 5.41 0.00
10 0.32 2.52* 0.20 0.49 0.11 6.36 0.00
11 0.97 0.37 0.31 0.44 2.80* 5.11 0.00
12 1.01 0.28 0.23 3.04* 1.20 4.25 0.00
13 0.16 0.19 0.40 2.47* 0.36 6.43 0.00
14 0.29 0.42 3.13 0.87* 0.41 4.88 0.00
15 0.19 0.29 1.21* 0.73 0.68 6.91 0.00
16 0.23 0.25 0.68 0.44* 0.30 8.11 0.00
17 1.24* 0.92 1.18 0.31 0.45 5.89 0.00
18 0.25* 0.36 0.23 0.25 0.22 8.68 0.00
19 0.82 1.97* 0.93 0.46 0.81 5.01 0.00
20 0.29 0.16 0.16 0.09 0.14* 9.15 0.00
21 0.36 0.38 0.26* 0.20 0.05 8.76 0.00
22 0.40 0.33* 0.27 0.26 0.18 8.56 0.00
23 0.46 0.30* 0.19 0.21 0.40 8.43 0.00
24 0.09 0.14* 0.16 0.17 0.05 9.39 0.00
25 0.26 0.23 0.17* 0.19 0.10 9.05 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 Ohio
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 6 2
149.0 124.0 1 1 99.0 3 3
148.5 123.5 98.5 3 8
148.0 123.0 2 98.0 4 3
147.5 122.5 97.5 1 1
147.0 122.0 1 97.0 11 3
146.5 1 121.5 1 96.5 1 1
146.0 121.0 96.0 13 6
145.5 120.5 1 95.5 4 3
145.0 120.0 1 95.0 16 8
144.5 119.5 2 1 94.5 6 1
144.0 119.0 94.0 3
143.5 118.5 93.5 5 8
143.0 118.0 93.0 1
142.5 117.5 92.5 15 11
142.0 117.0 4 92.0 10 3
141.5 116.5 91.5 4 3
141.0 116.0 3 1 91.0 13 10
140.5 115.5 90.5 3 2
140.0 115.0 1 1 90.0 17 10
139.5 114.5 1 89.5 4 3
139.0 114.0 89.0 28 19
138.5 113.5 3 3 88.5 13 2
138.0 113.0 1 88.0 11 7
137.5 112.5 3 87.5 18 6
137.0 112.0 87.0 4 3
136.5 111.5 1 86.5 18 11
136.0 1 111.0 5 86.0 5 1
135.5 110.5 85.5 14 8
135.0 110.0 5 1 85.0 9 2
134.5 1 109.5 84.5 11 5
134.0 109.0 3 1 84.0 20 6
133.5 1 108.5 83.5 3
133.0 108.0 5 1 83.0 22 16
132.5 107.5 4 1 82.5 9 1
132.0 107.0 1 82.0 18 11
131.5 106.5 4 2 81.5 18 6
131.0 1 106.0 81.0 13 10
130.5 105.5 4 6 80.5 26 8
130.0 1 105.0 4 80.0 8 10
129.5 104.5 1 79.5 16 9
129.0 1 104.0 6 2 79.0 8 6
128.5 103.5 78.5 10 12
128.0 103.0 4 2 78.0 19 6
127.5 102.5 3 77.5 7 6
127.0 102.0 7 2 77.0 15 18
126.5 101.5 5 76.5 8 3
126.0 101.0 1 2 76.0 22 14
125.5 100.5 6 4 75.5 12 11
American Mathematics Competitions
2005 AMC 10 B Results for Ohio
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 10 8 50.0 3 1 25.0
74.5 14 15 49.5 3 2 24.5 1
74.0 8 5 49.0 5 3 24.0
73.5 14 13 48.5 1 3 23.5 1
73.0 5 5 48.0 4 2 23.0
72.5 10 13 47.5 1 22.5
72.0 15 10 47.0 3 22.0
71.5 4 5 46.5 21.5
71.0 13 11 46.0 1 21.0
70.5 3 3 45.5 1 20.5
70.0 10 7 45.0 1 1 20.0
69.5 10 7 44.5 1 5 19.5 1
69.0 7 6 44.0 2 2 19.0
68.5 4 12 43.5 2 18.5
68.0 6 14 43.0 2 1 18.0
67.5 12 9 42.5 2 17.5
67.0 7 6 42.0 3 2 17.0
66.5 7 6 41.5 1 16.5
66.0 9 10 41.0 2 1 16.0
65.5 5 7 40.5 3 2 15.5
65.0 6 9 40.0 1 15.0
64.5 8 7 39.5 1 1 14.5
64.0 4 5 39.0 1 14.0
63.5 2 6 38.5 1 2 13.5
63.0 4 2 38.0 1 2 13.0
62.5 4 8 37.5 12.5
62.0 7 2 37.0 1 12.0 1
61.5 7 3 36.5 1 11.5
61.0 3 5 36.0 3 1 11.0
60.5 6 9 35.5 10.5
60.0 8 4 35.0 10.0
59.5 2 1 34.5 9.5
59.0 3 6 34.0 9.0
58.5 4 5 33.5 8.5
58.0 3 1 33.0 1 8.0
57.5 5 6 32.5 7.5
57.0 1 6 32.0 7.0
56.5 2 3 31.5 1 6.5
56.0 5 2 31.0 6.0
55.5 1 6 30.5 5.5
55.0 4 8 30.0 1 5.0
54.5 6 2 29.5 1 4.5
54.0 6 6 29.0 4.0
53.5 1 1 28.5 1 3.5
53.0 3 28.0 3.0
52.5 2 1 27.5 2.5
52.0 2 5 27.0 2.0
51.5 1 3 26.5 1 1.5
51.0 2 26.0 1 1.0
50.5 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Ohio
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
146.5 1
136.0 1
134.5 1
133.5 1
131.0 1 1
130.0 1
129.0 1
124.0 1 1
123.0 1 1
122.0 1
121.5 1
120.5 1
120.0 1
119.5 1 2
117.0 4
116.0 2 2
115.0 1 1
114.5 1
113.5 1 5
113.0 1
112.5 1 2
111.5 1
111.0 5
110.0 2 4
109.0 1 3
108.0 2 4
107.5 1 6
107.0 1
106.5 2 4
105.5 4 6
105.0 4
104.5 1
104.0 2 6
103.0 6
102.5 1 2
102.0 6 5
101.5 1 2 3
101.0 2 1
100.5 5 5
100.0 1
99.5 3 5
99.0 2 4
98.5 1 5 6
98.0 4 4
97.5 2
97.0 5 10
96.5 2
96.0 4 15
95.5 2 6
95.0 1 13 13
94.5 3 4
94.0 3
93.5 8 7 1
93.0 1
92.5 12 14
92.0 3 10
91.5 4 4
91.0 1 8 15 1
90.5 5
90.0 9 20 1
89.5 7
89.0 1 24 23
88.5 3 12
88.0 12 8
87.5 2 9 14
87.0 2 5
86.5 2 13 15
86.0 5 2
85.5 12 12 1
85.0 3 8
84.5 1 11 4
84.0 1 9 17
83.5 2 1
83.0 1 1 23 14
82.5 4 6
82.0 17 13
81.5 1 1 7 15
81.0 1 11 12
80.5 1 21 13
80.0 9 10
79.5 17 8
79.0 10 4
78.5 1 8 15
78.0 1 11 15
77.5 1 7 6
77.0 13 20
76.5 6 7
76.0 1 15 19 2
75.5 1 1 12 9
75.0 1 12 5
74.5 2 14 14
74.0 6 7 1
73.5 1 17 10 1
73.0 4 6
72.5 2 12 11
72.0 1 1 13 10
71.5 5 4 1
71.0 11 13 1
70.5 4 2 1
70.0 1 10 6
69.5 2 5 10
69.0 6 7
68.5 1 6 9
68.0 1 12 8 1
67.5 1 14 8
67.0 5 8 1
66.5 8 4 1
66.0 14 7
65.5 6 6
65.0 1 7 7
64.5 9 7
64.0 7 2
63.5 5 3
63.0 4 3
62.5 1 5 8
62.0 6 4
61.5 3 5 3
61.0 4 4
60.5 8 7
60.0 8 5
59.5 1 1 1
59.0 5 4
58.5 5 5
58.0 2 2
57.5 1 3 7 1
57.0 2 3 2
56.5 2 3
56.0 1 2 4
55.5 1 3 4
55.0 1 5 7
54.5 1 3 4
54.0 1 9 4
53.5 1 1 1
53.0 1 2
52.5 4
52.0 1 1 4 1
51.5 3 1
51.0 2
50.5 1 1
50.0 2 2
49.5 2 3
49.0 5 4
48.5 1 3 1
48.0 2 4
47.5 1
47.0 1 2 1
46.0 1
45.5 1
45.0 2 1
44.5 3 3
44.0 2 2 1
43.5 2
43.0 1 1 1
42.5 2
42.0 2 2 1
41.5 2
41.0 1 1 1
40.5 1 4
40.0 1
39.5 2
39.0 1
38.5 3
38.0 1 1 1
37.0 1
36.5 1
36.0 1 3 1
33.0 1
31.5 1
30.0 1 1
29.5 1 1
28.5 1
26.5 1
26.0 1
24.5 1
23.5 1
19.5 1
12.0 1
American Mathematics Competitions
2005 AMC 10 B Results for Ohio
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 8.38* 0.37 0.42 0.18 0.53 0.11 0.01
2 0.15 0.29 0.13 8.43* 0.24 0.75 0.00
3 0.03 0.87 2.29 5.34* 0.86 0.60 0.01
4 1.04 0.08 0.70 3.53* 0.30 4.35 0.01
5 0.13 0.12 8.68* 0.15 0.37 0.56 0.00
6 0.14 8.33* 0.21 0.24 0.33 0.73 0.01
7 0.75 1.13* 0.34 0.89 0.54 6.34 0.02
8 5.34* 0.13 0.93 0.06 0.13 3.41 0.00
9 0.53 0.51 1.78 5.02* 0.54 1.61 0.00
10 1.22* 0.56 0.53 0.23 0.21 7.25 0.00
11 0.20 0.47 0.14 1.64 1.66* 5.90 0.00
12 0.53 1.08 0.30 0.25 0.24* 7.58 0.00
13 0.35 0.42 1.45* 1.45 0.34 5.98 0.00
14 0.30 0.21 1.53* 1.95 0.40 5.61 0.00
15 1.07 0.48 0.57 4.28* 0.50 3.11 0.00
16 0.28 0.49 0.48 0.33* 0.06 8.35 0.00
17 0.31 2.32* 1.00 0.33 0.12 5.93 0.00
18 0.34 4.58 0.90 1.78* 0.52 1.88 0.01
19 0.53 5.67* 0.39 0.36 0.30 2.76 0.00
20 0.61 0.24 0.68* 0.21 0.15 8.11 0.00
21 0.12* 0.23 0.18 0.17 0.12 9.18 0.00
22 0.38 0.63 0.20* 0.16 0.24 8.39 0.00
23 2.37 0.35 0.28* 0.15 0.22 6.62 0.00
24 0.26 0.12 0.23 0.21 0.97* 8.21 0.00
25 0.19 0.21 2.93* 0.16 0.10 6.41 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 Ohio
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 2
149.5 124.5 99.5 6 5
149.0 124.0 99.0 1
148.5 123.5 98.5 29 10
148.0 123.0 98.0 7 3
147.5 122.5 97.5 7 5
147.0 122.0 97.0 12 2
146.5 121.5 96.5
146.0 121.0 96.0 29 13
145.5 120.5 2 95.5 1
145.0 120.0 95.0 42 36
144.5 119.5 1 94.5 11 3
144.0 119.0 94.0 7 7
143.5 118.5 2 93.5 20 8
143.0 118.0 93.0
142.5 117.5 92.5 36 16
142.0 117.0 1 92.0 2 2
141.5 116.5 91.5 16 10
141.0 116.0 5 1 91.0 11 6
140.5 115.5 90.5 10 7
140.0 115.0 4 90.0 28 14
139.5 114.5 1 89.5 5 3
139.0 114.0 89.0 44 28
138.5 113.5 88.5 8 3
138.0 1 113.0 88.0 7 22
137.5 112.5 6 87.5 10 10
137.0 112.0 87.0 5 4
136.5 111.5 5 1 86.5 35 23
136.0 111.0 1 86.0 3 2
135.5 110.5 85.5 27 21
135.0 110.0 5 2 85.0 6 4
134.5 109.5 84.5 12 15
134.0 109.0 5 1 84.0 24 14
133.5 1 108.5 83.5 4 5
133.0 108.0 10 4 83.0 38 37
132.5 1 107.5 1 82.5 6 4
132.0 107.0 82.0 16 20
131.5 106.5 8 1 81.5 11 10
131.0 106.0 81.0 15 11
130.5 105.5 6 3 80.5 20 15
130.0 1 105.0 1 80.0 4 4
129.5 104.5 5 4 79.5 21 19
129.0 1 104.0 4 79.0 6 4
128.5 103.5 78.5 22 7
128.0 103.0 7 4 78.0 18 8
127.5 102.5 1 77.5 4 7
127.0 102.0 25 10 77.0 24 21
126.5 1 101.5 1 76.5 8 5
126.0 101.0 30 11 76.0 16 16
125.5 100.5 7 2 75.5 10 6
American Mathematics Competitions
2005 AMC 12 B Results for Ohio
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 13 9 50.0 2 25.0
74.5 10 13 49.5 24.5
74.0 2 49.0 1 1 24.0 1
73.5 9 5 48.5 1 23.5
73.0 6 5 48.0 1 23.0
72.5 7 6 47.5 1 2 22.5
72.0 14 5 47.0 1 22.0
71.5 3 8 46.5 21.5
71.0 19 3 46.0 1 21.0
70.5 2 2 45.5 20.5
70.0 5 9 45.0 1 20.0
69.5 12 2 44.5 1 19.5
69.0 3 4 44.0 19.0
68.5 2 7 43.5 18.5
68.0 6 5 43.0 18.0
67.5 7 3 42.5 17.5
67.0 3 4 42.0 1 17.0
66.5 6 4 41.5 16.5
66.0 9 6 41.0 16.0
65.5 4 3 40.5 15.5
65.0 8 7 40.0 1 15.0
64.5 3 7 39.5 1 1 14.5
64.0 2 7 39.0 1 14.0
63.5 3 5 38.5 13.5
63.0 4 5 38.0 13.0
62.5 6 3 37.5 12.5
62.0 2 4 37.0 1 12.0
61.5 2 7 36.5 11.5
61.0 1 6 36.0 3 11.0
60.5 2 2 35.5 10.5
60.0 9 5 35.0 1 1 10.0
59.5 2 3 34.5 9.5
59.0 2 2 34.0 9.0
58.5 1 33.5 8.5
58.0 1 33.0 1 8.0
57.5 4 1 32.5 7.5
57.0 1 7 32.0 7.0
56.5 1 3 31.5 6.5
56.0 3 2 31.0 6.0
55.5 2 30.5 5.5
55.0 30.0 5.0
54.5 3 29.5 4.5
54.0 3 29.0 4.0
53.5 4 1 28.5 3.5
53.0 1 5 28.0 3.0
52.5 1 27.5 2.5
52.0 2 27.0 2.0
51.5 26.5 1.5
51.0 1 26.0 1.0
50.5 2 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Ohio
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
138.0 1
133.5 1
132.5 1
130.0 1
129.0 1
126.5 1
120.5 2
119.5 1
118.5 3
117.0 2
116.0 1 5
115.0 2 2
114.5 1 1
112.5 2 4
111.5 1 1 4
111.0 1
110.0 3 4
109.0 2 4
108.0 5 9
107.5 1
106.5 4 5
105.5 4 5
105.0 1
104.5 1 5 3
104.0 3 1
103.0 4 7
102.5 1
102.0 1 1 2 14 15 2
101.5 1
101.0 1 21 18 1
100.5 1 1 7
100.0 1 1
99.5 5 6
99.0 1
98.5 1 21 17 1
98.0 2 8
97.5 9 3
97.0 1 7 11
96.0 1 25 17
95.5 1 1
95.0 6 36 36
94.5 1 1 5 7
94.0 2 8 4
93.5 1 14 13
92.5 3 30 20
92.0 1 1 2
91.5 15 11
91.0 2 9 6
90.5 10 7
90.0 1 19 23
89.5 3 5
89.0 2 6 38 29 1
88.5 6 5
88.0 2 3 18 7
87.5 1 8 12
87.0 6 3
86.5 2 36 21
86.0 2 3
85.5 1 24 24
85.0 2 5 3
84.5 2 9 16
84.0 2 20 16
83.5 2 5 3
83.0 6 43 26 3
82.5 5 5
82.0 4 23 10
81.5 2 8 11 1
81.0 1 15 10
80.5 20 15 1
80.0 1 2 5
79.5 1 24 15
79.0 1 6 4
78.5 1 21 9
78.0 1 11 14
77.5 2 5 4
77.0 3 30 12
76.5 2 5 7
76.0 2 20 11
75.5 9 8
75.0 12 10
74.5 1 11 13 1
74.0 1 2
73.5 9 6
73.0 7 4
72.5 2 6 5
72.0 1 13 7
71.5 4 8
71.0 9 13
70.5 1 2 1
70.0 1 9 4
69.5 7 8
69.0 1 5 1
68.5 8 1
68.0 1 6 4
67.5 7 4
67.0 1 1 5
66.5 7 4
66.0 8 8
65.5 2 5 1
65.0 1 8 6
64.5 4 6
64.0 3 6
63.5 6 2
63.0 2 3 4 1
62.5 4 5
62.0 1 2 3
61.5 1 7 1
61.0 2 5
60.5 2 2
60.0 1 6 7
59.5 1 2 2
59.0 1 1 2
58.5 1
58.0 1
57.5 2 3
57.0 1 5 2
56.5 1 3
56.0 5
55.5 2
54.5 1 1 1
54.0 3
53.5 3 2
53.0 3 3
52.5 1
52.0 1 1
51.0 1
50.5 2 1
50.0 1 1
49.0 2
48.5 1
48.0 1
47.5 2 1
47.0 1
46.0 1
45.0 1
44.5 1
42.0 1
40.0 1
39.5 1 1
39.0 1
37.0 1
36.0 3
35.0 2
33.0 1
24.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Ohio
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 9.28* 0.14 0.29 0.06 0.15 0.07 0.00
2 0.07 0.11 0.07 9.35* 0.06 0.34 0.01
3 0.02 0.05 9.34* 0.10 0.20 0.29 0.00
4 0.08 9.20* 0.09 0.13 0.16 0.34 0.00
5 7.97* 0.13 0.56 0.02 0.06 1.25 0.01
6 2.85* 0.72 0.57 0.22 0.21 5.44 0.00
7 0.95 1.56 0.15 2.38* 0.49 4.47 0.00
8 1.20 1.58 4.31* 0.04 0.85 2.02 0.00
9 0.37 7.68* 0.31 0.30 0.23 1.09 0.00
10 0.14 0.63 0.09 1.94 3.24* 3.97 0.00
11 1.14 0.91 0.56 4.48* 0.37 2.54 0.00
12 0.25 0.46 0.70 0.62* 0.09 7.86 0.00
13 0.38 0.20 0.16 1.48* 0.13 7.64 0.00
14 0.68 0.95 0.48 0.30 0.90* 6.69 0.00
15 0.42 0.24 0.27 4.97* 0.50 3.60 0.00
16 0.18 0.15 0.69 0.33* 0.20 8.45 0.00
17 0.31 0.39* 0.13 0.09 0.53 8.55 0.00
18 1.33 0.43 0.36* 0.25 0.21 7.42 0.00
19 0.23 0.15 0.12 0.18 2.14* 7.17 0.00
20 0.08 0.19 4.37* 0.51 1.86 3.00 0.00
21 0.19 0.20 0.23* 0.22 0.15 8.99 0.00
22 0.34 0.66 0.17 0.18 0.06* 8.59 0.00
23 0.07 0.09* 0.07 0.06 0.03 9.68 0.00
24 0.22* 0.15 0.23 0.21 0.18 9.01 0.00
25 0.22* 0.19 0.15 0.17 0.24 9.02 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column