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Missing Title
American Mathematics Competitions
2006 AMC 10 A Results for Ohio
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3651
Number of unofficial participants: 19
Average score of participants: 74.9
Average score for female students is: 72.0 ( 1809 Students)
Average score for male students is: 78.4 ( 1681 Students)
Average score for unspecified gender is 71.6 ( 161 Students)
Average score for grade 10 is: 77.4 ( 1879 Students)
Average score for grade 9 is: 72.0 ( 1465 Students)
Average score for grade 8 and below is: 75.0 ( 240 Students)
Average score with unknown grade: 68.4 ( 67 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 29
Number of schools returning results 96
Average school winning score 105.28
American Mathematics Competitions
2006 AMC 12 A Results for Ohio
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 5151
Number of unofficial participants: 1
Average score of participants: 82.6
Average score for female students is: 80.0 ( 2326 Students)
Average score for male students is: 85.2 ( 2670 Students)
Average score for unspecified gender is 79.0 ( 155 Students)
Average score for grade 13 is: 70.7 ( 5 Students)
Average score for grade 12 is: 84.1 ( 2130 Students)
Average score for grade 11 is: 82.0 ( 2376 Students)
Average score for grade 10 is: 81.1 ( 427 Students)
Average score for grade 9 is: 79.9 ( 162 Students)
Average score for grade 8 and below is: 101.0 ( 4 Students)
Average score with unknown grade: 75.3 ( 47 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 781
Number of schools returning results 112
Average school winning score 109.01
Average school team score 312.67
American Mathematics Competitions
2006 AMC 10 B Results for Ohio
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1440
Number of unofficial participants: 0
Average score of participants: 66.3
Average score for female students is: 62.3 ( 597 Students)
Average score for male students is: 69.2 ( 791 Students)
Average score for unspecified gender is 68.0 ( 52 Students)
Average score for grade 10 is: 68.1 ( 737 Students)
Average score for grade 9 is: 65.0 ( 620 Students)
Average score for grade 8 and below is: 57.5 ( 74 Students)
Average score with unknown grade: 76.2 ( 9 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 5
Number of schools returning results 46
Average school winning score 96.17
American Mathematics Competitions
2006 AMC 12 B Results for Ohio
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1943
Number of unofficial participants: 0
Average score of participants: 84.2
Average score for female students is: 79.6 ( 814 Students)
Average score for male students is: 87.7 ( 1061 Students)
Average score for unspecified gender is 84.9 ( 68 Students)
Average score for grade 12 is: 86.2 ( 792 Students)
Average score for grade 11 is: 82.4 ( 975 Students)
Average score for grade 10 is: 85.4 ( 107 Students)
Average score for grade 9 is: 90.4 ( 40 Students)
Average score for grade 8 and below is: 77.3 ( 3 Students)
Average score with unknown grade: 77.9 ( 26 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 322
Number of schools returning results 67
Average school winning score 107.87
Average school team score 302.08
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
391.5 1 1
385.5 1 2
384.5 1 3
380.5 1 4
368.0 1 5
363.0 1 6
360.0 1 7
359.5 1 8
359.0 1 9
358.5 1 10
356.5 2 11
354.0 2 1 13
353.0 3 16
352.5 1 19
351.5 1 20
350.5 1 21
349.5 2 22
349.0 1 1 24
348.0 2 26
346.5 1 1 28
346.0 1 1 30
343.5 3 32
342.5 1 35
342.0 1 36
341.0 3 37
339.5 1 40
339.0 1 41
337.5 3 42
336.5 1 45
334.5 1 46
334.0 1 47
333.0 4 1 48
332.5 1 53
331.5 1 2 54
331.0 1 57
330.5 2 58
329.0 2 60
328.5 1 62
328.0 1 63
326.0 1 2 64
325.0 1 67
324.0 2 68
323.5 2 1 70
323.0 1 1 73
322.5 1 75
321.5 1 76
320.5 1 77
319.5 1 78
319.0 1 79
318.0 1 2 80
317.5 1 83
317.0 1 84
316.5 1 85
315.5 2 86
314.5 1 88
314.0 2 89
313.0 1 91
312.5 3 92
312.0 2 95
309.0 2 97
308.0 2 99
307.0 2 101
306.0 1 103
305.5 2 104
304.0 2 3 106
302.5 1 111
301.5 1 112
301.0 1 113
300.5 1 114
300.0 1 115
299.5 2 116
299.0 2 1 118
298.0 1 121
296.5 1 122
296.0 1 123
295.5 1 124
295.0 1 125
294.5 1 1 126
293.5 1 128
292.5 1 129
291.0 1 2 130
290.5 1 133
288.5 1 134
288.0 1 1 135
287.0 1 1 137
285.0 1 139
284.5 1 140
284.0 2 141
283.0 1 143
282.5 1 144
281.5 1 145
281.0 1 146
278.0 1 147
277.5 1 148
277.0 1 149
276.5 1 150
276.0 2 1 151
275.0 1 154
274.5 1 155
273.5 1 156
273.0 1 157
268.5 1 158
266.5 1 159
264.5 1 160
262.0 1 161
259.0 1 1 162
256.0 1 164
255.5 1 165
255.0 1 166
252.0 1 167
251.0 1 168
247.0 1 169
244.0 1 170
241.5 1 171
239.0 1 172
231.5 1 173
222.5 1 174
211.5 1 175
204.5 1 176
188.5 1 177
112.5 1 178
91.0 1 179
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
146.5 1
144.0 1
143.0 1 1
140.5 1
139.5 1
138.0 1
136.0 1 1 3 1
134.5 2
132.5 1 2
130.0 1 2 1
129.0 1
128.5 1
127.5 4
126.5 3 1
125.5 2 4
125.0 1
124.0 1 3
123.0 1 6 1
122.0 8 3 1
121.5 1 3
120.5 3 4
119.5 7 3 5
119.0 2 1
118.5 24 3
118.0 1 3
117.0 5 2 8 1
116.5 2
116.0 28 6 4 5
115.5 1 2 1
115.0 15 10 3
114.5 2 2 5
113.5 17 3 7 2
113.0 2
112.5 60 10 5 2
112.0 1 3
111.5 19 14 2 1
111.0 1 1 8 2
110.0 32 7 9 6
109.5 1 1
109.0 45 14 7 1
108.5 1 4
108.0 29 25 5 2
107.5 18 4 11 2
107.0 1 1
106.5 72 9 11 2
106.0 1 2 2 2
105.5 65 21 11 4
105.0 2 1 9 2
104.5 16 27 6 1
104.0 41 9 20 4
103.5 1
103.0 80 11 11 5
102.5 2 8 3
102.0 57 39 8 2
101.5 22 3 7 3
101.0 31 58 5
100.5 71 9 23 1
100.0 1 1 5
99.5 65 26 12 6
99.0 6 2 12 2
98.5 45 44 18 3
98.0 35 2 23 6
97.5 7 12 7 1
97.0 61 14 18 9
96.5 5 9 2
96.0 105 31 18 8
95.5 15 5 18 1
95.0 91 75 19 7
94.5 73 10 25 2
94.0 9 15 8 2
93.5 67 24 28 8
93.0 5 1 9 5
92.5 75 42 25 6
92.0 47 2 27 6
91.5 31 29 16 6
91.0 74 7 31 9
90.5 6 13 21
90.0 97 41 25 11
89.5 20 2 21 2
89.0 102 74 37 10
88.5 60 8 28 3
88.0 26 29 27 4
87.5 98 31 46 7
87.0 19 9 18 3
86.5 102 46 46 10
86.0 46 5 30 8
85.5 48 34 40 10
85.0 75 16 36 14
84.5 25 30 24 7
84.0 117 34 54 12
83.5 30 14 26
83.0 117 62 60 11
82.5 59 6 37 8
82.0 46 32 45 8
81.5 72 20 52 11
81.0 19 18 40 5
80.5 114 31 50 16
80.0 47 17 43 7
79.5 62 32 53 13
79.0 66 14 35 12
78.5 53 23 33 7
78.0 85 19 48 11
77.5 25 16 28 8
77.0 126 40 48 16
76.5 38 9 31 8
76.0 40 27 52 15
75.5 79 13 44 18
75.0 36 15 48 9
74.5 81 13 68 23
74.0 31 17 38 8
73.5 46 24 48 14
73.0 51 9 39 8
72.5 34 19 49 18
72.0 65 18 47 16
71.5 32 15 36 15
71.0 96 17 55 22
70.5 40 3 34 9
70.0 51 12 50 15
69.5 62 11 37 10
69.0 31 11 37 19
68.5 67 20 48 17
68.0 36 6 44 14
67.5 34 7 44 20
67.0 40 15 38 10
66.5 26 12 44 15
66.0 51 11 53 18
65.5 24 12 42 15
65.0 42 10 39 22
64.5 29 9 25 13
64.0 31 11 25 21
63.5 33 8 34 18
63.0 21 12 34 9
62.5 52 17 58 22
62.0 23 10 32 10
61.5 19 10 31 19
61.0 16 8 34 11
60.5 25 4 28 11
60.0 39 6 41 21
59.5 9 6 22 17
59.0 27 9 24 20
58.5 17 4 23 13
58.0 13 3 28 13
57.5 25 4 25 16
57.0 13 8 26 13
56.5 18 6 15 21
56.0 16 2 19 11
55.5 8 8 14 17
55.0 16 3 23 14
54.5 7 6 16 6
54.0 17 8 32 18
53.5 8 4 20 10
53.0 11 6 22 25
52.5 12 2 14 14
52.0 8 3 8 8
51.5 11 5 10 10
51.0 3 2 19 12
50.5 6 2 15 15
50.0 12 3 9 5
49.5 3 3 4 8
49.0 7 2 8 11
48.5 5 1 16 9
48.0 15 5 25 20
47.5 1 4 10 10
47.0 4 3 9 13
46.5 5 3 9 11
46.0 4 6 12
45.5 2 2 7 7
45.0 2 2 4 1
44.5 7 1 5 10
44.0 1 7 8
43.5 1 1 3 8
43.0 3 7 8
42.5 1 5 3
42.0 15 2 10 7
41.5 1 1 7 5
41.0 1 1 6 2
40.5 2 7 6
40.0 3 3 3
39.5 1 1 3 6
39.0 2 1 8 10
38.5 3 1 4 3
38.0 2 3 4 6
37.5 2 2 3 1
37.0 1 5
36.5 1 1 4
36.0 9 2 12 5
35.5 3 1 2
35.0 1
34.5 1 2 5
34.0 1 1
33.5 1 2 3
33.0 1 4
32.5 1 4
32.0 1 5
31.5 1 2 2
31.0 2
30.5 3
30.0 3 1 7 6
29.5 1 1
29.0 4 2
28.5 1
28.0 2 3
27.5 1
27.0 1 5
26.5 1 1
26.0 1 2
25.5 1 1 1
24.0 1 1 2 1
23.0 1
22.0 1 4
20.5 1
20.0 1
18.5 1
18.0 2 2 1
16.0 1
12.0 1 1
11.0 1
10.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Ohio
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 1 100.0 3 2
149.5 124.5 99.5 9 3
149.0 124.0 3 99.0 10 2
148.5 123.5 98.5 8 9
148.0 123.0 1 98.0 13 8
147.5 122.5 97.5 4 3
147.0 122.0 1 97.0 10 8
146.5 121.5 3 96.5 6 3
146.0 121.0 96.0 13 5
145.5 120.5 4 95.5 12 5
145.0 120.0 95.0 6 12
144.5 119.5 5 94.5 17 8
144.0 1 119.0 2 94.0 4 4
143.5 118.5 93.5 17 11
143.0 1 118.0 3 93.0 9
142.5 117.5 92.5 10 15
142.0 117.0 7 1 92.0 20 7
141.5 116.5 1 91.5 13 3
141.0 116.0 4 91.0 15 15
140.5 1 115.5 1 1 90.5 11 8
140.0 115.0 1 2 90.0 16 9
139.5 1 114.5 2 3 89.5 13 7
139.0 114.0 89.0 22 14
138.5 113.5 3 3 88.5 13 14
138.0 1 113.0 2 88.0 18 8
137.5 112.5 2 3 87.5 24 20
137.0 112.0 1 2 87.0 6 7
136.5 111.5 2 86.5 23 22
136.0 3 111.0 6 2 86.0 16 13
135.5 110.5 85.5 20 17
135.0 110.0 7 2 85.0 18 16
134.5 2 109.5 1 84.5 15 9
134.0 109.0 3 4 84.0 28 23
133.5 108.5 3 83.5 13 13
133.0 108.0 5 83.0 24 34
132.5 107.5 8 3 82.5 24 12
132.0 107.0 1 82.0 25 19
131.5 106.5 6 5 81.5 33 18
131.0 106.0 2 81.0 15 23
130.5 105.5 5 4 80.5 21 26
130.0 105.0 7 2 80.0 27 16
129.5 104.5 5 1 79.5 26 25
129.0 104.0 14 6 79.0 15 16
128.5 1 103.5 1 78.5 14 19
128.0 103.0 3 7 78.0 27 18
127.5 4 102.5 4 3 77.5 10 16
127.0 102.0 4 3 77.0 20 28
126.5 101.5 4 3 76.5 14 14
126.0 101.0 2 2 76.0 19 29
125.5 100.5 16 7 75.5 22 21
American Mathematics Competitions
2006 AMC 10 A Results for Ohio
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 21 27 50.0 4 4 25.0
74.5 20 42 49.5 4 24.5
74.0 14 23 49.0 4 4 24.0 1
73.5 20 28 48.5 6 10 23.5
73.0 15 23 48.0 12 10 23.0
72.5 19 27 47.5 3 7 22.5
72.0 25 20 47.0 1 7 22.0 1
71.5 16 20 46.5 2 7 21.5
71.0 23 29 46.0 3 3 21.0
70.5 15 19 45.5 2 5 20.5 1
70.0 21 27 45.0 2 2 20.0
69.5 16 18 44.5 3 2 19.5
69.0 16 21 44.0 3 4 19.0
68.5 19 27 43.5 2 1 18.5
68.0 21 23 43.0 3 4 18.0 1 1
67.5 15 27 42.5 1 3 17.5
67.0 11 26 42.0 3 6 17.0
66.5 12 30 41.5 3 4 16.5
66.0 21 31 41.0 3 3 16.0
65.5 23 18 40.5 2 5 15.5
65.0 13 23 40.0 1 2 15.0
64.5 10 15 39.5 1 2 14.5
64.0 10 15 39.0 3 5 14.0
63.5 9 24 38.5 3 1 13.5
63.0 11 23 38.0 2 2 13.0
62.5 10 25 37.5 2 1 12.5
62.0 11 18 37.0 1 12.0
61.5 9 22 36.5 1 11.5
61.0 17 17 36.0 2 9 11.0
60.5 10 18 35.5 1 10.5
60.0 18 21 35.0 1 10.0
59.5 11 11 34.5 2 9.5
59.0 9 14 34.0 1 9.0
58.5 8 13 33.5 2 8.5
58.0 11 16 33.0 1 8.0
57.5 5 17 32.5 7.5
57.0 14 9 32.0 1 7.0
56.5 4 9 31.5 1 6.5
56.0 10 9 31.0 6.0
55.5 3 11 30.5 2 1 5.5
55.0 11 10 30.0 2 5 5.0
54.5 6 9 29.5 1 4.5
54.0 18 14 29.0 2 1 4.0
53.5 4 16 28.5 3.5
53.0 8 13 28.0 1 1 3.0
52.5 7 6 27.5 2.5
52.0 3 5 27.0 1 2.0
51.5 3 7 26.5 1.5
51.0 6 11 26.0 1.0
50.5 4 10 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Ohio
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
144.0 1
143.0 1
140.5 1
139.5 1
138.0 1
136.0 3
134.5 1 1
128.5 1
127.5 2 1 1
125.0 1
124.0 1 1 1
123.0 1
122.0 1
121.5 1 2
120.5 1 3
119.5 2 3
119.0 1 1
118.0 1 1 1
117.0 1 7
116.5 1 1
116.0 3 1
115.5 1 1
115.0 2 1
114.5 1 1 3
113.5 1 6
113.0 1 1
112.5 5
112.0 1 2
111.5 2
111.0 1 1 6
110.0 1 3 5
109.5 1
109.0 3 4
108.5 2 1 1
108.0 1 1 3
107.5 1 1 4 5
107.0 1
106.5 3 8
106.0 2
105.5 2 8 1
105.0 1 1 7
104.5 6
104.0 1 7 12
103.5 1
103.0 2 1 8
102.5 1 1 6
102.0 2 6
101.5 1 2 4
101.0 1 1 3
100.5 1 7 15
100.0 1 4
99.5 2 10
99.0 12
98.5 1 5 12
98.0 4 3 16
97.5 2 5
97.0 3 15
96.5 1 2 4 2
96.0 14 4
95.5 3 15
95.0 1 10 8
94.5 5 20
94.0 1 7
93.5 1 3 24
93.0 1 2 6
92.5 11 14
92.0 2 4 21
91.5 3 4 9
91.0 1 3 6 21
90.5 6 15
90.0 5 20
89.5 8 12 1
89.0 1 13 23
88.5 1 2 8 17
88.0 2 11 14
87.5 2 17 26 1
87.0 1 9 8
86.5 1 17 28
86.0 2 5 23
85.5 2 18 19 1
85.0 2 11 23
84.5 1 8 15
84.0 3 19 30 2
83.5 2 11 13
83.0 2 31 27
82.5 4 10 23
82.0 1 26 17 1
81.5 1 1 1 21 28
81.0 15 25
80.5 1 3 17 28 1
80.0 1 15 26 1
79.5 4 24 23 2
79.0 3 8 23 1
78.5 3 18 12
78.0 1 3 15 29
77.5 1 2 11 14
77.0 1 24 23
76.5 1 12 17 1
76.0 1 1 20 29 1
75.5 2 26 16
75.0 1 2 25 20
74.5 2 35 27 4
74.0 1 1 12 24
73.5 2 15 31
73.0 4 10 25
72.5 2 15 32
72.0 19 27 1
71.5 3 18 15
71.0 2 24 29
70.5 1 4 14 14 1
70.0 1 28 21
69.5 4 18 15
69.0 3 17 16 1
68.5 1 3 15 28 1
68.0 2 3 21 18
67.5 1 2 21 17 3
67.0 3 15 18 2
66.5 5 18 21
66.0 1 2 23 27
65.5 1 4 25 12
65.0 4 23 12
64.5 2 10 13
64.0 1 9 14 1
63.5 4 12 18
63.0 1 17 16
62.5 1 18 16 23
62.0 2 12 17 1
61.5 2 16 13
61.0 2 17 15
60.5 5 16 7
60.0 4 17 20
59.5 2 8 12
59.0 1 13 10
58.5 2 16 5
58.0 1 10 17
57.5 16 9
57.0 1 13 12
56.5 3 6 5 1
56.0 1 12 6
55.5 1 5 8
55.0 4 8 9 2
54.5 1 5 10
54.0 1 17 14
53.5 1 1 8 10
53.0 5 6 10 1
52.5 6 8
52.0 5 3
51.5 9 1
51.0 2 8 9
50.5 1 7 6 1
50.0 2 4 2 1
49.5 2 2
49.0 3 5
48.5 5 10 1
48.0 2 10 11 2
47.5 1 5 4
47.0 2 5 2
46.5 4 5
46.0 1 3 2
45.5 1 5 1
45.0 1 2 1
44.5 3 2
44.0 1 4 2
43.5 1 2
43.0 1 4 2
42.5 3 2
42.0 4 4 2
41.5 2 2 3
41.0 1 5
40.5 6 1
40.0 2 1
39.5 3
39.0 1 6 1
38.5 2 2
38.0 2 2
37.5 1 1 1
37.0 1
36.5 1
36.0 1 7 4
35.5 1
35.0 1
34.5 2
34.0 1
33.5 2
33.0 1
32.5 1
32.0 1
31.5 2
30.5 2 1
30.0 4 3
29.5 1
29.0 3 1
28.0 2
27.0 1
25.5 1
24.0 2
22.0 1
20.5 1
18.0 2
American Mathematics Competitions
2006 AMC 10 A Results for Ohio
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.87* 0.00 0.03 0.03 0.00 0.07 0.00
2 0.96 0.16 1.94* 0.15 2.28 4.50 0.00
3 0.05 8.09* 0.08 0.05 1.53 0.18 0.00
4 2.26 0.14 0.10 0.13 6.73* 0.63 0.00
5 0.25 1.17 1.21 6.60* 0.24 0.53 0.00
6 0.20 7.48* 0.44 0.15 0.07 1.66 0.00
7 6.99* 0.12 0.35 0.30 0.32 1.92 0.00
8 0.84 0.36 0.41 0.15 1.55* 6.69 0.00
9 1.89 1.45 4.95* 0.28 0.22 1.21 0.00
10 0.37 0.19 0.81 2.08 0.71* 5.84 0.00
11 1.56 1.35 1.21* 0.73 0.84 4.31 0.00
12 0.93 0.47 4.06* 0.91 0.40 3.23 0.00
13 0.38 1.25 0.36 4.45* 0.16 3.40 0.00
14 1.78 3.19* 0.29 0.94 0.80 3.00 0.00
15 0.74 0.31 0.41 1.13* 0.66 6.75 0.00
16 0.28 0.19 0.28 0.32* 0.61 8.32 0.00
17 1.47* 0.37 0.21 0.53 0.32 7.10 0.00
18 1.87 0.17 2.45* 0.41 0.22 4.89 0.00
19 0.51 1.34 0.60* 0.26 0.28 6.99 0.01
20 0.49 1.04 0.41 0.35 0.43* 7.27 0.00
21 0.65 0.58 0.42 0.51 0.92* 6.92 0.00
22 0.11 0.69 2.87* 3.97 1.00 1.36 0.00
23 0.62 1.06* 0.19 0.26 0.57 7.29 0.00
24 0.92 0.37* 0.36 0.23 0.33 7.79 0.00
25 2.05 0.76 0.50* 0.50 0.24 5.95 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2006 AMC 12 A Results for 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 48 17
149.0 124.0 1 99.0 3 3
148.5 123.5 98.5 23 20
148.0 123.0 1 98.0 21 12
147.5 122.5 97.5 4 3
147.0 122.0 6 1 97.0 36 25
146.5 121.5 96.5 5
146.0 121.0 96.0 66 37
145.5 120.5 95.5 8 7
145.0 120.0 95.0 55 32
144.5 119.5 7 94.5 41 29
144.0 119.0 94.0 5 3
143.5 118.5 17 7 93.5 30 37
143.0 118.0 93.0 4 1
142.5 117.5 92.5 37 36
142.0 117.0 5 92.0 30 16
141.5 116.5 91.5 17 13
141.0 116.0 19 7 91.0 40 32
140.5 115.5 90.5 4 2
140.0 115.0 9 6 90.0 47 47
139.5 114.5 2 89.5 16 2
139.0 114.0 89.0 58 43
138.5 113.5 15 1 88.5 36 23
138.0 113.0 88.0 14 12
137.5 112.5 42 18 87.5 48 44
137.0 112.0 87.0 6 13
136.5 111.5 12 7 86.5 42 58
136.0 1 111.0 1 86.0 32 13
135.5 110.5 85.5 14 33
135.0 110.0 18 11 85.0 33 39
134.5 109.5 84.5 13 11
134.0 109.0 33 12 84.0 64 51
133.5 108.5 1 83.5 18 11
133.0 108.0 19 9 83.0 54 58
132.5 1 107.5 12 6 82.5 39 17
132.0 107.0 1 82.0 18 26
131.5 106.5 50 20 81.5 42 29
131.0 106.0 1 81.0 6 13
130.5 105.5 43 22 80.5 51 62
130.0 1 105.0 1 1 80.0 26 19
129.5 104.5 11 4 79.5 27 34
129.0 1 104.0 30 10 79.0 31 33
128.5 103.5 78.5 23 30
128.0 103.0 55 25 78.0 46 36
127.5 102.5 2 77.5 12 12
127.0 102.0 39 17 77.0 62 59
126.5 101.5 10 10 76.5 24 12
126.0 101.0 17 14 76.0 20 19
125.5 2 100.5 43 26 75.5 37 40
American Mathematics Competitions
2006 AMC 12 A Results for Ohio
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 13 21 50.0 4 8 25.0
74.5 45 36 49.5 3 24.5
74.0 16 15 49.0 3 4 24.0 1
73.5 21 24 48.5 2 3 23.5
73.0 18 33 48.0 8 6 23.0
72.5 15 19 47.5 1 22.5
72.0 30 32 47.0 1 3 22.0
71.5 12 19 46.5 5 21.5
71.0 46 47 46.0 1 1 21.0
70.5 17 23 45.5 1 1 20.5
70.0 20 29 45.0 2 20.0
69.5 25 34 44.5 4 3 19.5
69.0 16 15 44.0 19.0
68.5 23 44 43.5 1 18.5
68.0 16 17 43.0 2 1 18.0 2
67.5 15 19 42.5 1 17.5
67.0 14 26 42.0 8 7 17.0
66.5 17 7 41.5 1 16.5
66.0 24 25 41.0 1 16.0
65.5 13 10 40.5 15.5
65.0 17 23 40.0 2 1 15.0
64.5 12 15 39.5 1 14.5
64.0 17 13 39.0 1 14.0
63.5 17 15 38.5 1 2 13.5
63.0 6 14 38.0 1 1 13.0
62.5 15 23 37.5 2 12.5
62.0 12 9 37.0 12.0 1
61.5 10 9 36.5 11.5
61.0 5 9 36.0 4 5 11.0
60.5 10 14 35.5 1 2 10.5
60.0 17 22 35.0 10.0
59.5 4 5 34.5 1 9.5
59.0 12 14 34.0 9.0
58.5 6 9 33.5 1 8.5
58.0 5 8 33.0 8.0
57.5 7 16 32.5 7.5
57.0 2 11 32.0 7.0
56.5 9 9 31.5 1 6.5
56.0 6 9 31.0 6.0
55.5 4 4 30.5 5.5
55.0 10 5 30.0 1 2 5.0
54.5 3 3 29.5 4.5
54.0 2 15 29.0 4.0
53.5 5 3 28.5 3.5
53.0 5 6 28.0 3.0
52.5 8 3 27.5 2.5
52.0 2 6 27.0 2.0
51.5 5 6 26.5 1 1.5
51.0 1 1 26.0 1.0
50.5 2 4 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Ohio
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
136.0 1
132.5 1
130.0 1
129.0 1
125.5 2
124.0 1
123.0 1
122.0 1 3 4
119.5 1 4 2
118.5 2 7 15
117.0 4 1
116.0 1 12 14 1
115.0 2 4 9
114.5 2
113.5 9 8
112.5 1 2 26 31
111.5 1 4 4 10
111.0 1
110.0 1 2 8 21
109.0 1 5 16 23
108.5 1
108.0 1 1 11 15 1
107.5 9 9
107.0 1
106.5 1 5 31 34 1
106.0 1
105.5 1 1 6 31 26
105.0 1 1
104.5 1 1 1 6 6 1
104.0 1 2 14 24
103.0 5 3 31 41
102.5 1 1
102.0 1 2 24 29 1
101.5 12 10
101.0 1 13 17
100.5 1 3 34 33
100.0 1
99.5 3 37 25
99.0 1 5
98.5 2 3 16 24
98.0 1 1 3 12 18
97.5 1 1 2 3
97.0 1 9 26 25
96.5 1 3 1
96.0 1 1 8 40 55
95.5 2 5 7 1
95.0 4 9 42 36
94.5 3 4 36 30
94.0 1 3 4 1
93.5 2 8 30 27
93.0 2 3
92.5 5 33 36 1
92.0 2 2 18 25
91.5 2 4 14 11
91.0 2 7 28 37
90.5 5 1
90.0 5 7 46 39
89.5 1 7 11 1
89.0 5 6 53 37 1
88.5 3 31 26
88.0 1 2 7 16
87.5 2 7 51 37 1
87.0 2 6 11
86.5 1 10 45 46
86.0 1 4 18 23
85.5 2 7 18 21
85.0 7 46 22
84.5 1 4 16 4
84.0 4 9 60 44
83.5 3 13 14
83.0 4 8 62 40 1 2
82.5 2 29 27 1
82.0 2 3 19 22
81.5 2 10 39 21
81.0 3 1 11 4
80.5 4 7 59 44
80.0 5 21 21
79.5 3 6 25 26 2
79.0 8 30 28
78.5 4 3 28 17 1
78.0 2 11 40 31 1
77.5 1 4 9 11
77.0 5 9 65 45 2
76.5 1 4 18 15
76.0 1 5 19 15
75.5 3 10 26 39 1
75.0 1 2 19 13 1
74.5 3 8 46 23 1
74.0 1 3 12 15
73.5 6 4 21 14 1
73.0 1 7 25 17 1
72.5 1 3 17 13
72.0 2 9 30 24
71.5 1 3 11 15 2
71.0 6 6 49 35
70.5 1 1 26 12
70.0 3 3 26 18 1
69.5 2 3 33 24
69.0 1 3 16 11
68.5 3 8 35 21
68.0 1 3 21 11
67.5 2 1 18 13
67.0 2 4 20 14
66.5 2 12 12
66.0 6 29 16
65.5 1 12 11
65.0 2 6 18 15 1
64.5 3 2 12 11 1
64.0 2 18 11
63.5 1 1 18 13
63.0 1 1 9 9 1
62.5 1 3 20 15 13
62.0 2 12 7 1 1
61.5 3 11 5
61.0 9 6 1
60.5 2 4 6 12 1
60.0 2 5 15 17
59.5 4 5
59.0 1 3 14 9
58.5 1 6 9 1
58.0 3 5 5
57.5 1 4 13 7
57.0 1 9 3
56.5 3 8 7
56.0 1 5 4 5 1
55.5 1 4 3
55.0 1 1 5 8 1
54.5 1 1 5
54.0 1 2 6 8
53.5 1 1 4 2
53.0 1 1 5 4
52.5 1 4 7
52.0 6 2
51.5 1 5 5
51.0 3
50.5 1 3 2
50.0 1 7 4
49.5 2 1
49.0 1 4 2
48.5 4 1
48.0 3 8 4
47.5 1
47.0 1 3
46.5 1 3 1
46.0 1 2 1
45.5 2
45.0 2
44.5 4 3
43.5 1
43.0 3
42.5 1
42.0 1 2 12
41.5 1
41.0 1
40.0 2 1
39.5 1
39.0 2
38.5 1 2
38.0 1 1
37.5 2
36.0 2 1 6
35.5 1 2
34.5 1
33.5 1
31.5 1
30.0 1 1 1
26.5 1
25.5 1
24.0 1
18.0 1 1
12.0 1
American Mathematics Competitions
2006 AMC 12 A Results for Ohio
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.92* 0.01 0.01 0.02 0.00 0.03 0.00
2 1.35 0.19 4.10* 0.05 0.86 3.44 0.00
3 0.03 8.66* 0.05 0.04 1.14 0.08 0.00
4 1.76 0.11 0.04 0.09 7.65* 0.34 0.00
5 0.13 0.74 0.94 7.71* 0.15 0.34 0.00
6 7.34* 0.09 0.30 0.23 0.25 1.79 0.00
7 0.75 4.89* 0.77 0.61 0.36 2.61 0.00
8 1.16 1.27 6.50* 0.24 0.08 0.76 0.00
9 7.95* 0.17 0.08 0.03 0.30 1.46 0.00
10 0.22 0.13 0.72 3.15 1.58* 4.20 0.00
11 1.85 0.94 2.05* 0.91 0.65 3.59 0.00
12 1.66 4.78* 0.13 0.78 0.34 2.31 0.00
13 0.45 0.11 0.19 0.10 5.28* 3.87 0.00
14 0.06 0.48 4.37* 2.82 0.42 1.83 0.00
15 2.84* 1.59 0.32 0.44 1.42 3.39 0.00
16 0.37 3.03* 0.14 0.18 0.58 5.70 0.00
17 0.29 0.46* 0.37 0.30 0.08 8.51 0.00
18 1.40 0.08 0.31 0.61 0.34* 7.26 0.00
19 0.13 0.15 0.16 0.12 0.17* 9.28 0.00
20 1.95 0.53 0.35* 0.22 0.12 6.83 0.00
21 0.11 0.10 0.42 0.11 0.10* 9.16 0.00
22 0.11 0.12 0.13 0.10* 0.08 9.46 0.00
23 0.08 0.09* 0.14 0.07 0.16 9.46 0.00
24 1.14 0.16 0.17 0.19* 0.12 8.21 0.00
25 0.12 0.17 0.15 0.13 0.09* 9.35 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2006 AMC 10 B Results for 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 6
149.0 124.0 99.0 1 1
148.5 123.5 98.5 1 1
148.0 123.0 98.0 5
147.5 122.5 97.5 1
147.0 122.0 97.0 7 2
146.5 1 121.5 96.5 1 1
146.0 121.0 96.0 4 4
145.5 120.5 95.5 1
145.0 120.0 95.0 5 1
144.5 119.5 94.5 1 1
144.0 119.0 1 94.0 1 1
143.5 118.5 93.5 4 3
143.0 1 118.0 93.0 2 2
142.5 117.5 92.5 5 1
142.0 117.0 1 92.0 5 1
141.5 116.5 91.5 4 2
141.0 116.0 4 1 91.0 7 2
140.5 115.5 1 90.5
140.0 115.0 90.0 9 1
139.5 114.5 89.5 1 1
139.0 114.0 89.0 7 2
138.5 113.5 1 88.5 1 1
138.0 113.0 88.0 1 2
137.5 112.5 2 87.5 5 2
137.0 112.0 87.0 1 2
136.5 111.5 1 86.5 6 4
136.0 1 111.0 2 86.0 7 1
135.5 110.5 85.5 5 5
135.0 110.0 5 1 85.0 9 4
134.5 109.5 1 84.5 4 3
134.0 109.0 1 84.0 8 4
133.5 108.5 83.5
133.0 108.0 1 83.0 7 4
132.5 107.5 1 1 82.5 7 1
132.0 107.0 82.0 6 2
131.5 106.5 2 81.5 8 2
131.0 106.0 2 81.0 2 3
130.5 105.5 1 3 80.5 10 6
130.0 1 105.0 2 80.0 5 2
129.5 104.5 1 79.5 6 6
129.0 104.0 4 79.0 5 7
128.5 103.5 78.5 5 2
128.0 103.0 3 2 78.0 9 2
127.5 102.5 2 77.5 5 3
127.0 102.0 1 1 77.0 8 8
126.5 1 101.5 2 1 76.5 3 5
126.0 101.0 76.0 11 4
125.5 100.5 1 75.5 10 7
American Mathematics Competitions
2006 AMC 10 B Results for Ohio
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 6 3 50.0 1 4 25.0
74.5 14 9 49.5 5 1 24.5
74.0 6 2 49.0 4 6 24.0 1
73.5 6 6 48.5 5 4 23.5
73.0 6 2 48.0 12 8 23.0 1
72.5 10 8 47.5 5 5 22.5
72.0 11 5 47.0 6 7 22.0 1 2
71.5 11 3 46.5 4 7 21.5
71.0 16 6 46.0 8 4 21.0
70.5 5 4 45.5 2 5 20.5
70.0 9 5 45.0 1 20.0 1
69.5 7 3 44.5 5 5 19.5
69.0 14 3 44.0 5 3 19.0
68.5 11 6 43.5 8 18.5 1
68.0 7 5 43.0 2 6 18.0 1
67.5 8 11 42.5 1 1 17.5
67.0 5 5 42.0 4 3 17.0
66.5 8 7 41.5 2 3 16.5
66.0 7 10 41.0 2 16.0 1
65.5 8 7 40.5 3 3 15.5
65.0 12 8 40.0 2 1 15.0
64.5 9 4 39.5 5 14.5
64.0 11 9 39.0 4 6 14.0
63.5 8 10 38.5 3 13.5
63.0 6 2 38.0 4 2 13.0
62.5 15 6 37.5 12.5
62.0 2 8 37.0 2 3 12.0
61.5 10 9 36.5 2 2 11.5
61.0 5 6 36.0 2 3 11.0 1
60.5 8 3 35.5 1 1 10.5
60.0 13 8 35.0 10.0 1
59.5 8 8 34.5 2 2 9.5
59.0 9 8 34.0 1 9.0
58.5 7 6 33.5 1 2 8.5
58.0 6 7 33.0 2 2 8.0
57.5 10 6 32.5 3 1 7.5
57.0 4 8 32.0 5 7.0
56.5 8 12 31.5 1 1 6.5
56.0 8 3 31.0 2 6.0
55.5 6 11 30.5 5.5
55.0 7 7 30.0 4 2 5.0
54.5 4 2 29.5 1 4.5
54.0 10 6 29.0 2 4.0
53.5 6 4 28.5 1 3.5
53.0 13 11 28.0 1 2 3.0
52.5 4 9 27.5 1 2.5
52.0 3 3 27.0 3 2 2.0
51.5 7 3 26.5 1 1.5
51.0 7 5 26.0 2 1.0
50.5 4 10 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Ohio
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
146.5 1
143.0 1
136.0 1
130.0 1
126.5 1
119.0 1
117.0 1
116.0 1 4
115.5 1
113.5 1 1
112.5 1 1
111.5 1
111.0 2
110.0 2 4
109.5 1
109.0 1
108.0 1 1
107.5 1 1
106.5 1 1
106.0 2
105.5 1 3
105.0 1 1
104.5 1
104.0 2 2
103.0 3 2
102.5 2 1
102.0 2
101.5 2 1
100.5 1
99.5 1 4 1
99.0 2
98.5 2 1
98.0 6
97.5 1
97.0 1 4 4
96.5 1 1
96.0 2 6
95.5 1
95.0 4 3
94.5 2
94.0 2
93.5 1 1 3 3
93.0 2 3
92.5 1 5
92.0 6
91.5 3 3
91.0 3 6
90.0 2 9
89.5 2
89.0 4 6
88.5 3
88.0 2 2
87.5 5 2
87.0 1 2
86.5 2 8
86.0 3 5
85.5 1 6 3
85.0 3 11
84.5 4 3
84.0 2 2 8
83.0 6 5
82.5 3 5
82.0 1 4 3
81.5 2 3 6
81.0 2 3
80.5 1 9 6
80.0 1 6
79.5 1 5 7
79.0 2 10
78.5 3 4
78.0 4 7
77.5 2 6
77.0 7 9
76.5 2 6
76.0 7 8
75.5 12 6
75.0 1 8
74.5 13 10
74.0 5 3
73.5 10 4
73.0 1 2 5
72.5 7 11
72.0 8 8
71.5 5 9 1
71.0 1 15 6
70.5 4 5
70.0 1 5 8 1
69.5 7 3
69.0 2 12 5
68.5 1 6 10
68.0 5 8 1
67.5 9 11
67.0 1 5 4
66.5 1 8 6
66.0 6 12
65.5 7 8
65.0 1 8 13
64.5 1 4 8
64.0 2 9 10
63.5 8 10
63.0 4 5
62.5 1 10 10 1
62.0 2 8
61.5 8 11
61.0 1 6 4
60.5 2 6 3
60.0 2 12 7
59.5 1 10 6
59.0 1 5 14
58.5 7 6
58.0 1 5 7
57.5 1 10 5
57.0 2 5 6
56.5 1 6 14
56.0 5 6
55.5 9 8
55.0 7 7
54.5 1 3 2
54.0 8 9 1
53.5 2 5 3
53.0 1 14 10
52.5 1 3 10
52.0 2 6
51.5 4 6
51.0 4 8
50.5 6 8 1
50.0 3 2
49.5 1 6 1
49.0 1 9 1
48.5 1 6 2
48.0 3 5 12
47.5 1 6 3
47.0 2 7 4
46.5 1 4 6
46.0 2 5 5
45.5 1 4 2
45.0 1
44.5 1 5 4
44.0 4 4
43.5 3 5
43.0 4 4
42.5 1 2
42.0 2 3 2
41.5 1 2 2
41.0 2
40.5 1 5
40.0 1 2
39.5 1 2 3
39.0 1 4 5
38.5 3
38.0 2 4
37.5 1
37.0 3 1 1
36.5 1 1 2
36.0 1 4
35.5 2
34.5 2 3
34.0 1
33.5 1 1 1
33.0 1 2 1
32.5 3 1
32.0 2 3
31.5 2
31.0 1 1
30.0 4 1 1
29.5 1
29.0 2
28.5 1
28.0 3
27.5 1
27.0 1 2 2
26.5 1
26.0 2
25.5 1
24.0 1
23.0 1
22.0 2 2
20.0 1
18.5 1
18.0 1
16.0 1
11.0 1
10.0 1
American Mathematics Competitions
2006 AMC 10 B Results for Ohio
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.60 0.53 5.31* 2.19 0.71 0.66 0.00
2 4.53* 0.73 0.08 0.15 0.29 4.22 0.00
3 7.89* 0.26 0.03 1.30 0.38 0.15 0.00
4 1.43 1.85 0.42 2.65* 2.08 1.56 0.00
5 0.65 4.53* 2.38 0.34 0.19 1.91 0.00
6 0.51 0.19 3.22 2.65* 0.31 3.12 0.00
7 2.01* 1.35 1.23 1.15 0.69 3.57 0.00
8 1.21 0.97* 0.21 1.28 0.51 5.82 0.00
9 0.12 7.43* 0.15 0.11 1.19 1.00 0.00
10 2.15* 0.44 1.43 0.10 2.73 3.16 0.00
11 0.34 0.62 2.40* 0.35 0.23 6.06 0.00
12 0.19 0.34 0.25 0.45 4.15* 4.63 0.00
13 0.94 0.15 2.12 0.78 2.42* 3.59 0.00
14 0.11 0.13 0.19 0.44* 0.03 9.10 0.00
15 0.75 0.30 1.25* 0.19 0.31 7.19 0.00
16 2.22 0.44 2.02 0.65 1.53* 3.13 0.00
17 2.76 1.15 1.40 2.54* 0.15 1.99 0.00
18 0.60 0.25 0.72 0.42 0.69* 7.33 0.00
19 0.18* 0.31 0.21 0.19 0.17 8.95 0.00
20 0.33 0.33 0.23 0.42 0.75* 7.94 0.00
21 0.43 0.32 0.59* 1.98 0.74 5.94 0.00
22 0.27 0.65 1.67 0.83* 0.15 6.42 0.01
23 0.24 0.78 0.19 0.26* 0.24 8.29 0.00
24 0.14 0.66* 0.62 0.31 0.25 8.03 0.00
25 0.19 2.02* 0.21 1.83 0.37 5.38 0.01
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2006 AMC 12 B Results for 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 18 8
149.0 124.0 99.0 2
148.5 123.5 98.5 31 12
148.0 123.0 5 1 98.0 1 1
147.5 122.5 97.5 7 5
147.0 122.0 3 97.0 12 2
146.5 121.5 1 96.5
146.0 121.0 96.0 20 9
145.5 120.5 3 95.5 4
145.0 120.0 95.0 47 25
144.5 119.5 3 94.5 8 2
144.0 119.0 94.0 7 8
143.5 118.5 3 93.5 11 10
143.0 118.0 1 93.0 1
142.5 117.5 92.5 27 13
142.0 117.0 1 1 92.0 2
141.5 116.5 91.5 13 15
141.0 116.0 5 1 91.0 3 4
140.5 115.5 1 90.5 5 8
140.0 115.0 10 90.0 28 12
139.5 114.5 2 89.5 2
139.0 114.0 89.0 50 23
138.5 113.5 3 88.5 6 1
138.0 113.0 88.0 14 13
137.5 112.5 7 3 87.5 19 11
137.0 112.0 1 87.0 7 2
136.5 111.5 10 2 86.5 23 19
136.0 1 111.0 1 86.0 3 2
135.5 110.5 85.5 14 19
135.0 110.0 4 2 85.0 10 5
134.5 109.5 84.5 19 11
134.0 109.0 9 5 84.0 18 16
133.5 108.5 83.5 9 4
133.0 108.0 16 5 83.0 38 21
132.5 1 1 107.5 4 82.5 3 3
132.0 107.0 82.0 23 9
131.5 106.5 7 1 81.5 12 8
131.0 106.0 2 81.0 5 13
130.5 105.5 15 5 80.5 16 15
130.0 2 105.0 1 80.0 7 9
129.5 104.5 17 7 79.5 13 18
129.0 104.0 8 1 79.0 8 6
128.5 103.5 78.5 9 13
128.0 103.0 8 3 78.0 11 8
127.5 102.5 77.5 4 11
127.0 102.0 23 16 77.0 25 14
126.5 3 101.5 3 76.5 6 3
126.0 101.0 34 22 76.0 9 15
125.5 3 1 100.5 8 1 75.5 3 10
American Mathematics Competitions
2006 AMC 12 B Results for Ohio
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 7 50.0 1 2 25.0
74.5 6 6 49.5 1 1 24.5
74.0 6 11 49.0 1 1 24.0 1
73.5 11 13 48.5 1 23.5
73.0 4 5 48.0 3 2 23.0
72.5 9 10 47.5 4 22.5
72.0 11 7 47.0 3 22.0
71.5 5 10 46.5 3 21.5
71.0 7 10 46.0 21.0
70.5 3 45.5 2 20.5
70.0 5 6 45.0 1 20.0
69.5 6 4 44.5 1 19.5
69.0 5 6 44.0 1 19.0
68.5 6 11 43.5 1 18.5
68.0 1 5 43.0 18.0
67.5 3 3 42.5 17.5
67.0 11 4 42.0 1 17.0
66.5 6 6 41.5 1 16.5
66.0 2 9 41.0 1 16.0
65.5 3 8 40.5 2 15.5
65.0 5 5 40.0 15.0
64.5 4 5 39.5 1 14.5
64.0 7 4 39.0 1 14.0
63.5 2 6 38.5 1 13.5
63.0 2 9 38.0 1 2 13.0
62.5 3 12 37.5 1 1 12.5
62.0 2 8 37.0 12.0 1
61.5 4 6 36.5 1 11.5
61.0 4 3 36.0 2 11.0
60.5 3 1 35.5 10.5
60.0 4 2 35.0 10.0
59.5 1 5 34.5 9.5
59.0 2 6 34.0 9.0
58.5 1 3 33.5 8.5
58.0 2 33.0 8.0
57.5 1 3 32.5 7.5
57.0 2 6 32.0 7.0
56.5 3 3 31.5 6.5
56.0 2 31.0 6.0
55.5 2 6 30.5 5.5
55.0 3 30.0 1 5.0
54.5 1 5 29.5 4.5
54.0 6 2 29.0 4.0
53.5 1 3 28.5 3.5
53.0 2 4 28.0 3.0
52.5 2 27.5 2.5
52.0 1 2 27.0 2.0
51.5 5 26.5 1.5
51.0 1 1 26.0 1 1.0
50.5 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Ohio
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
136.0 1
132.5 1 1
130.0 2
126.5 1 2
125.5 1 1 2
123.0 3 3
122.0 1 2
121.5 1
120.5 1 2
119.5 1 1 1
118.5 3
118.0 1
117.0 1 1
116.0 2 4
115.5 1
115.0 2 5 3
114.5 1 1
113.5 3
112.5 1 3 6
112.0 1
111.5 6 6 2
111.0 1
110.0 1 4 1 1
109.0 1 8 5
108.0 3 10 12
107.5 4
106.5 2 2 5
106.0 2
105.5 2 8 10 1
105.0 1
104.5 1 1 11 14
104.0 1 2 6
103.0 1 4 6
102.0 3 14 22
101.5 1 2
101.0 1 6 25 26
100.5 3 6
100.0 1
99.5 2 10 14
99.0 1 1
98.5 2 2 19 21
98.0 2
97.5 1 6 5
97.0 1 1 3 9
96.0 2 18 11
95.5 1 1 3
95.0 2 1 37 34 1
94.5 7 3
94.0 1 8 6
93.5 14 10
93.0 1
92.5 1 3 16 22
92.0 1 1
91.5 1 9 18 1
91.0 1 4 2
90.5 1 1 4 7
90.0 1 1 23 15 1
89.5 1 1
89.0 1 3 36 34
88.5 7 1
88.0 1 11 17
87.5 14 15 2
87.0 7 2
86.5 1 3 21 20 1
86.0 3 2
85.5 2 24 7 1
85.0 1 8 7
84.5 2 13 15
84.0 1 3 15 15
83.5 8 5 1
83.0 7 32 22 1
82.5 5 1
82.0 1 18 13
81.5 1 13 6
81.0 2 12 4
80.5 2 19 10
80.0 7 10
79.5 4 12 15 1
79.0 9 5
78.5 2 11 10
78.0 13 6
77.5 2 1 8 5
77.0 4 18 17 1
76.5 7 2
76.0 2 13 12
75.5 1 6 6
75.0 1 7 7
74.5 6 7
74.0 1 7 9
73.5 1 1 13 9
73.0 7 2
72.5 12 7
72.0 1 1 7 8 1
71.5 1 10 4
71.0 2 1 12 2
70.5 1 2
70.0 7 5
69.5 1 5 4 1
69.0 1 7 3
68.5 11 9
68.0 1 3 2
67.5 5 2
67.0 3 9 3
66.5 12
66.0 2 6 3
65.5 1 7 4
65.0 9 1
64.5 1 5 3
64.0 2 4 5
63.5 7 1
63.0 5 5 2
62.5 1 3 5 7 1
62.0 6 4
61.5 7 3
61.0 1 3 4
60.5 1 3
60.0 4 2
59.5 1 3 2
59.0 7 1 1
58.5 3 1
58.0 1 2
57.5 3 1
57.0 1 6 1
56.5 1 4 1
56.0 1 1
55.5 1 6 1
55.0 1 2
54.5 1 4 1
54.0 1 6 1
53.5 3 1
53.0 4 2
52.5 1 1
52.0 1 2
51.5 1 4
51.0 2
50.5 1 1
50.0 1 2
49.5 1 1 1
49.0 2
48.5 1
48.0 3 2
47.5 4
47.0 3
46.5 1 2
45.5 2
45.0 1 1
44.5 1
44.0 1
43.5 1
42.0 1 1
41.5 1
41.0 1
40.5 1 1
39.5 1
39.0 1
38.5 1
38.0 2 1
37.5 2
36.5 1
36.0 2
30.0 1
26.0 1
24.0 1
12.0 1
American Mathematics Competitions
2006 AMC 12 B Results for Ohio
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.40 0.45 7.71* 0.83 0.32 0.27 0.00
2 7.48* 0.38 0.04 0.07 0.26 1.78 0.00
3 8.53* 0.20 0.01 0.80 0.31 0.15 0.00
4 9.25* 0.23 0.11 0.22 0.05 0.15 0.00
5 7.08* 0.72 0.29 0.19 0.17 1.55 0.00
6 0.08 8.56* 0.08 0.08 0.67 0.52 0.01
7 0.38 8.29* 0.41 0.36 0.12 0.44 0.00
8 0.15 0.24 0.15 0.41 6.51* 2.55 0.01
9 0.30 4.50* 0.29 0.79 0.39 3.73 0.01
10 3.17* 0.52 1.17 0.10 2.47 2.57 0.00
11 0.68 0.11 1.19 0.73 4.46* 2.83 0.01
12 0.56 0.43 0.31 0.68* 0.44 7.58 0.00
13 0.54 0.36 2.27* 0.20 0.35 6.28 0.00
14 0.15 0.48 2.03 1.72* 0.08 5.54 0.00
15 0.17 1.79* 0.71 0.28 0.19 6.86 0.01
16 0.15 0.13 0.75* 0.14 0.11 8.71 0.00
17 0.56 0.16 0.97* 1.38 0.30 6.63 0.00
18 0.41 0.56* 1.04 0.23 0.17 7.59 0.00
19 0.13 1.81* 0.12 1.25 0.24 6.44 0.00
20 0.14 0.18 0.16* 0.09 0.40 9.04 0.00
21 0.15 0.08 0.11* 0.06 0.06 9.54 0.00
22 0.06 0.17* 0.19 0.08 0.05 9.45 0.00
23 0.16 0.14 0.25 0.22 0.11* 9.11 0.00
24 0.09 0.08 0.11* 0.14 0.04 9.54 0.00
25 0.07 0.16* 0.16 0.20 0.06 9.36 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
