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Missing Title
American Mathematics Competitions
2006 AMC 10 A Results for New York
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4066
Number of unofficial participants: 66
Average score of participants: 79.6
Average score for female students is: 76.4 ( 1780 Students)
Average score for male students is: 82.6 ( 2044 Students)
Average score for unspecified gender is 77.1 ( 242 Students)
Average score for grade 10 is: 81.5 ( 2031 Students)
Average score for grade 9 is: 77.6 ( 1865 Students)
Average score for grade 8 and below is: 80.2 ( 80 Students)
Average score with unknown grade: 76.6 ( 90 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 72
Number of schools returning results 108
Average school winning score 108.98
American Mathematics Competitions
2006 AMC 12 A Results for New York
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3654
Number of unofficial participants: 85
Average score of participants: 89.5
Average score for female students is: 86.6 ( 1417 Students)
Average score for male students is: 91.9 ( 2072 Students)
Average score for unspecified gender is 84.2 ( 165 Students)
Average score for grade 13 is: 108.5 ( 2 Students)
Average score for grade 12 is: 91.6 ( 1508 Students)
Average score for grade 11 is: 87.5 ( 1878 Students)
Average score for grade 10 is: 95.2 ( 172 Students)
Average score for grade 9 is: 94.1 ( 30 Students)
Average score for grade 8 and below is: 100.9 ( 6 Students)
Average score with unknown grade: 81.6 ( 58 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 1091
Number of schools returning results 122
Average school winning score 114.32
Average school team score 325.59
American Mathematics Competitions
2006 AMC 10 B Results for New York
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 5185
Number of unofficial participants: 3
Average score of participants: 68.5
Average score for female students is: 65.1 ( 2345 Students)
Average score for male students is: 71.8 ( 2491 Students)
Average score for unspecified gender is 67.7 ( 349 Students)
Average score for grade 10 is: 71.2 ( 2563 Students)
Average score for grade 9 is: 65.8 ( 2153 Students)
Average score for grade 8 and below is: 66.5 ( 317 Students)
Average score with unknown grade: 64.3 ( 152 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 58
Number of schools returning results 131
Average school winning score 103.97
American Mathematics Competitions
2006 AMC 12 B Results for New York
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 5617
Number of unofficial participants: 0
Average score of participants: 86.0
Average score for female students is: 82.1 ( 2470 Students)
Average score for male students is: 89.6 ( 2912 Students)
Average score for unspecified gender is 83.4 ( 235 Students)
Average score for grade 12 is: 87.6 ( 2249 Students)
Average score for grade 11 is: 85.0 ( 2775 Students)
Average score for grade 10 is: 83.9 ( 456 Students)
Average score for grade 9 is: 94.5 ( 47 Students)
Average score for grade 8 and below is: 102.4 ( 13 Students)
Average score with unknown grade: 82.2 ( 77 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 1201
Number of schools returning results 156
Average school winning score 111.93
Average school team score 315.39
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
427.5 1 1
411.5 1 2
404.5 1 3
401.0 1 4
392.5 1 5
389.0 1 6
385.5 1 7
384.5 1 8
383.5 1 9
382.0 3 10
381.0 1 1 13
376.0 1 15
375.0 1 16
374.0 1 17
372.5 1 18
370.5 1 19
369.5 1 2 20
367.0 1 2 23
366.5 1 26
366.0 1 27
363.5 1 28
363.0 1 1 29
362.5 2 1 31
360.0 1 34
357.5 1 35
356.5 2 2 36
356.0 1 40
354.5 2 41
354.0 1 43
353.0 2 1 44
350.5 1 47
349.5 3 48
348.0 1 51
347.0 3 3 52
346.5 1 58
346.0 1 59
345.5 2 60
344.5 4 62
344.0 1 66
343.5 1 1 67
343.0 1 69
342.5 2 1 70
342.0 1 73
341.0 1 74
340.5 1 75
340.0 2 2 76
339.0 1 80
338.5 1 81
337.5 1 1 82
336.5 2 84
336.0 2 86
335.5 1 2 88
335.0 2 91
334.5 1 93
334.0 5 1 94
333.5 3 100
333.0 1 2 103
331.5 1 106
331.0 1 2 107
330.5 2 3 110
329.5 1 2 115
328.5 3 118
328.0 1 121
327.5 1 1 122
327.0 1 2 124
326.5 3 1 127
326.0 1 131
325.5 1 132
325.0 2 133
323.5 1 135
323.0 1 136
322.5 1 7 137
322.0 1 1 145
321.5 2 147
321.0 4 1 149
320.5 1 3 154
320.0 2 1 158
319.5 1 161
319.0 2 162
318.5 2 2 164
318.0 2 168
317.5 1 170
317.0 3 1 171
316.5 2 175
316.0 2 177
315.5 1 179
315.0 1 180
314.5 3 181
313.0 1 2 184
312.0 4 187
311.5 1 191
311.0 2 192
310.0 2 194
309.0 1 3 196
306.5 1 200
305.5 1 201
305.0 2 202
304.5 2 204
304.0 1 206
303.5 2 2 207
303.0 1 1 211
302.5 3 213
301.5 2 216
300.0 2 218
299.5 2 220
298.5 1 222
298.0 2 223
297.5 1 225
297.0 1 226
296.0 1 227
295.5 1 1 228
294.0 1 230
293.0 1 231
292.5 1 232
291.5 1 233
290.5 1 234
289.5 1 1 235
287.5 1 237
287.0 1 238
286.0 3 239
285.0 1 242
283.5 1 243
279.5 1 244
279.0 1 245
275.0 1 246
274.5 3 247
273.5 1 250
273.0 1 251
269.5 1 252
268.5 1 253
268.0 1 254
267.5 1 255
265.5 1 256
264.5 1 257
263.0 1 258
262.0 1 259
261.5 1 260
258.0 1 261
257.0 1 262
256.5 1 263
255.5 1 264
247.5 1 265
243.5 1 266
240.0 1 267
236.0 1 268
231.0 1 269
227.5 1 270
216.5 1 271
215.0 1 272
207.0 1 273
199.0 1 274
193.0 1 275
191.5 1 276
130.0 1 277
108.0 1 278
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 2
146.5 1
144.0 1 3 5
143.0 1
140.5 3
139.5 1 1 1
138.0 1 2
137.0 4 2 1
136.0 2 3 1 4
134.5 1
133.5 3 2 2 3
132.5 1 6 4
132.0 1 1
131.0 1 1 2 2
130.0 1 13 3 4
129.0 3 9 7 1
128.5 2
127.5 1 2 3
126.5 3 9 2 5
125.5 14 10 3 5
125.0 2 1
124.0 1 3 4 2
123.0 1 8 13 9
122.5 1 1
122.0 22 16 7 5
121.5 1
120.5 6 9 4 4
119.5 17 16 10 5
119.0 2 2
118.5 65 27 4 2
118.0 2 3 7 2
117.0 5 7 11 9
116.5 1
116.0 31 32 20 16
115.5 2 4 2
115.0 51 31 4 3
114.5 2 9 12 7
114.0 1 2
113.5 16 14 12 14
113.0 1
112.5 103 41 8 2
112.0 1 2 1
111.5 38 68 2 6
111.0 7 6 12 3
110.5 2
110.0 40 12 31 17
109.5 1
109.0 66 45 10 8
108.5 3 1 12 4
108.0 50 117 5 4
107.5 23 7 23 13
107.0 2
106.5 94 26 11 11
106.0 2 2 2 5
105.5 59 85 11 11
105.0 8 4 17 10
104.5 20 106 7 3
104.0 44 15 38 39
103.5 1 1
103.0 90 43 27 15
102.5 3 1 15 6
102.0 65 149 20 9
101.5 13 9 31 11
101.0 36 203 6 2
100.5 71 25 31 21
100.0 7 3
99.5 77 71 24 19
99.0 9 6 25 16
98.5 45 144 25 19
98.0 46 20 47 33
97.5 4 33 12 6
97.0 65 49 27 37
96.5 3 1 19 4
96.0 89 127 36 25
95.5 23 8 32 16
95.0 45 268 22 20
94.5 54 20 40 26
94.0 5 26 18 3
93.5 67 71 56 29
93.0 10 4 16 15
92.5 55 132 36 30
92.0 34 13 57 38
91.5 12 88 18 15
91.0 88 44 47 36
90.5 7 22 21 10
90.0 86 124 34 41
89.5 19 8 19 17
89.0 63 220 43 34
88.5 52 33 39 25
88.0 14 65 22 14
87.5 75 69 50 48
87.0 10 19 30 10
86.5 51 111 43 49
86.0 32 14 47 31
85.5 21 83 44 25
85.0 47 36 37 33
84.5 14 55 35 19
84.0 72 112 67 45
83.5 28 20 33 12
83.0 52 171 54 47
82.5 44 16 31 29
82.0 15 69 42 36
81.5 43 54 55 46
81.0 14 32 27 33
80.5 47 87 54 57
80.0 25 17 57 45
79.5 28 62 48 54
79.0 29 34 40 43
78.5 17 54 32 35
78.0 60 91 72 69
77.5 23 29 42 39
77.0 45 100 65 49
76.5 29 36 51 44
76.0 14 50 58 37
75.5 18 51 62 39
75.0 18 35 44 26
74.5 31 50 58 71
74.0 16 28 53 49
73.5 26 48 44 53
73.0 27 30 44 52
72.5 15 41 35 37
72.0 37 45 83 82
71.5 25 17 34 37
71.0 22 57 48 77
70.5 17 28 41 34
70.0 16 29 45 47
69.5 25 35 36 45
69.0 18 31 45 46
68.5 11 51 52 71
68.0 15 20 40 46
67.5 25 35 28 63
67.0 19 27 34 34
66.5 11 37 28 48
66.0 22 42 54 70
65.5 12 17 36 51
65.0 13 28 30 57
64.5 12 12 21 36
64.0 8 24 22 40
63.5 12 17 36 58
63.0 6 20 28 38
62.5 16 40 35 76
62.0 7 10 32 55
61.5 13 27 17 59
61.0 8 18 20 45
60.5 6 16 20 39
60.0 35 30 49 75
59.5 11 7 26 43
59.0 9 20 16 50
58.5 4 8 14 43
58.0 5 18 17 39
57.5 5 14 11 32
57.0 8 11 21 47
56.5 11 20 12 50
56.0 4 6 17 44
55.5 5 8 11 46
55.0 10 10 37
54.5 3 7 17 41
54.0 23 23 40 78
53.5 3 9 13 32
53.0 5 15 12 36
52.5 5 3 14 38
52.0 3 8 6 38
51.5 2 8 6 36
51.0 6 8 22
50.5 3 14 9 49
50.0 4 3 11 33
49.5 5 7 3 35
49.0 5 8 6 22
48.5 2 2 8 29
48.0 14 22 24 71
47.5 3 9 10 16
47.0 2 5 3 26
46.5 2 7 6 24
46.0 2 6 13
45.5 1 6 6 20
45.0 4 8 23
44.5 4 6 4 27
44.0 1 2 28
43.5 1 4 4 18
43.0 3 1 22
42.5 3 4 18
42.0 17 19 23 65
41.5 1 4 2 17
41.0 2 1 5 12
40.5 3 4 20
40.0 4 1 13
39.5 3 2 19
39.0 3 8
38.5 2 3 6 23
38.0 1 4 3 18
37.5 1 1 8
37.0 1 9
36.5 2 1 5
36.0 7 17 11 52
35.5 1 12
35.0 1 6
34.5 1 2 7
34.0 1 7
33.5 3
33.0 2 2 12
32.5 1 2 1 8
32.0 1 1 8
31.5 2 9
31.0 1 4
30.5 1 8
30.0 2 5 9 40
29.5 6
29.0 1 3
28.5 1 5
28.0 1 3 4
27.5 3
27.0 2 3
26.5 2 2 8
26.0 2
25.5 1 4
25.0 1
24.5 5
24.0 3 3 1 18
23.5 8
23.0 1 1
22.0 2
21.0 2
20.5 2 2 3
19.5 3
18.5 1 3
18.0 1 3 17
17.0 1
15.0 1
14.5 1
12.0 1 8
8.5 1
6.0 5
1
American Mathematics Competitions
2006 AMC 10 A Results for New York
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 4 2
149.5 124.5 99.5 15 9
149.0 124.0 3 99.0 17 8
148.5 123.5 98.5 12 11
148.0 123.0 9 3 98.0 32 14
147.5 122.5 1 97.5 4 8
147.0 122.0 5 1 97.0 15 10
146.5 121.5 1 96.5 9 9
146.0 121.0 96.0 23 12
145.5 120.5 4 95.5 19 12
145.0 120.0 95.0 11 8
144.5 119.5 7 2 94.5 22 18
144.0 3 119.0 1 1 94.0 11 6
143.5 118.5 1 3 93.5 33 22
143.0 1 118.0 7 93.0 13 2
142.5 117.5 92.5 15 18
142.0 117.0 8 3 92.0 36 19
141.5 116.5 1 91.5 14 3
141.0 116.0 12 8 91.0 26 17
140.5 3 115.5 4 90.5 13 6
140.0 115.0 2 2 90.0 16 17
139.5 1 114.5 9 2 89.5 13 6
139.0 114.0 89.0 25 17
138.5 113.5 7 5 88.5 26 11
138.0 1 1 113.0 88.0 15 6
137.5 112.5 7 1 87.5 22 23
137.0 1 112.0 2 87.0 13 14
136.5 111.5 2 86.5 16 22
136.0 1 111.0 12 86.0 31 14
135.5 110.5 2 85.5 20 22
135.0 110.0 19 10 85.0 18 16
134.5 109.5 1 84.5 20 14
134.0 109.0 5 5 84.0 38 26
133.5 2 108.5 10 2 83.5 16 16
133.0 108.0 4 1 83.0 25 26
132.5 4 107.5 16 6 82.5 11 16
132.0 1 107.0 82.0 27 15
131.5 106.5 7 4 81.5 23 29
131.0 2 106.0 1 1 81.0 12 14
130.5 105.5 5 4 80.5 25 27
130.0 2 105.0 12 4 80.0 36 21
129.5 104.5 4 3 79.5 22 24
129.0 4 1 104.0 21 15 79.0 19 19
128.5 2 103.5 1 78.5 17 15
128.0 103.0 19 8 78.0 30 39
127.5 2 102.5 8 7 77.5 25 15
127.0 102.0 12 5 77.0 33 29
126.5 2 101.5 20 9 76.5 28 16
126.0 101.0 3 1 76.0 24 31
125.5 2 1 100.5 19 9 75.5 24 32
American Mathematics Competitions
2006 AMC 10 A Results for New York
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 25 18 50.0 5 5 25.0
74.5 28 25 49.5 2 1 24.5
74.0 26 25 49.0 3 3 24.0
73.5 18 21 48.5 4 3 23.5
73.0 25 16 48.0 11 9 23.0
72.5 9 21 47.5 4 5 22.5
72.0 35 42 47.0 2 1 22.0
71.5 15 17 46.5 4 1 21.5
71.0 19 27 46.0 1 5 21.0
70.5 19 19 45.5 2 4 20.5 1
70.0 17 25 45.0 5 3 20.0
69.5 11 22 44.5 3 19.5
69.0 26 17 44.0 1 1 19.0
68.5 22 29 43.5 1 3 18.5
68.0 27 13 43.0 1 18.0
67.5 9 14 42.5 4 17.5
67.0 14 18 42.0 11 11 17.0
66.5 10 16 41.5 2 16.5
66.0 24 24 41.0 3 2 16.0
65.5 17 17 40.5 2 2 15.5
65.0 15 14 40.0 1 15.0
64.5 8 9 39.5 2 14.5
64.0 10 11 39.0 14.0
63.5 12 23 38.5 4 2 13.5
63.0 14 14 38.0 1 2 13.0
62.5 11 21 37.5 1 12.5
62.0 11 20 37.0 12.0 1
61.5 7 9 36.5 1 11.5
61.0 9 11 36.0 6 4 11.0
60.5 6 13 35.5 10.5
60.0 18 31 35.0 10.0
59.5 13 11 34.5 2 9.5
59.0 6 7 34.0 1 9.0
58.5 6 6 33.5 8.5
58.0 5 9 33.0 1 1 8.0
57.5 4 7 32.5 1 7.5
57.0 11 10 32.0 1 7.0
56.5 4 7 31.5 2 6.5
56.0 7 9 31.0 6.0
55.5 2 7 30.5 5.5
55.0 2 8 30.0 2 6 5.0
54.5 7 9 29.5 4.5
54.0 18 18 29.0 1 4.0
53.5 3 9 28.5 3.5
53.0 3 8 28.0 1 1 3.0
52.5 4 7 27.5 2.5
52.0 4 1 27.0 2.0
51.5 1 5 26.5 1.5
51.0 3 4 26.0 1.0
50.5 5 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for New York
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
144.0 3
143.0 1
140.5 1 2
139.5 1
138.0 2
137.0 1 1
136.0 1
134.5 1
133.5 2
132.5 3 1
132.0 1
131.0 2
130.0 1 2
129.0 1 6
128.5 1 1
127.5 1 1
126.5 2
125.5 1 2
124.0 1 2 1
123.0 3 10
122.5 1
122.0 2 5
121.5 1
120.5 3 1
119.5 1 9
119.0 1 1
118.5 4
118.0 1 2 4
117.0 1 3 7
116.5 1
116.0 6 13 1
115.5 2 2
115.0 1 3
114.5 4 8
113.5 1 4 7
112.5 2 6
112.0 2
111.5 2
111.0 1 10 1
110.5 1 1
110.0 11 18 2
109.5 1
109.0 7 3
108.5 5 7
108.0 3 2
107.5 1 13 9
106.5 3 8
106.0 1 1
105.5 4 7
105.0 3 14
104.5 1 4 2
104.0 1 10 27
103.5 1
103.0 1 8 18
102.5 8 6 1
102.0 12 6 2
101.5 12 18 1
101.0 3 3
100.5 1 7 23
100.0 2 5
99.5 9 14 1
99.0 1 10 14
98.5 12 12 1
98.0 19 28
97.5 9 3
97.0 1 9 17
96.5 1 3 15
96.0 15 18 3
95.5 1 13 18
95.0 11 11
94.5 1 22 17
94.0 5 11 2
93.5 27 29
93.0 8 8
92.5 1 15 19 1
92.0 1 25 31
91.5 1 8 9
91.0 1 19 26 1
90.5 5 15 1
90.0 2 16 15 1
89.5 8 10 1
89.0 22 21
88.5 1 19 19
88.0 10 9 3
87.5 25 24 1
87.0 20 10
86.5 2 18 21 2
86.0 16 30 1
85.5 1 19 24
85.0 1 16 18 2
84.5 1 20 13 1
84.0 31 33 3
83.5 13 20
83.0 31 23
82.5 14 15 2
82.0 22 20
81.5 1 18 35 1
81.0 1 11 13 2
80.5 3 20 30 1
80.0 1 1 27 27 1
79.5 3 26 19
79.0 1 16 23
78.5 1 19 12
78.0 1 37 33 1
77.5 27 14 1
77.0 1 35 29
76.5 1 25 23 2
76.0 1 24 32 1
75.5 27 32 3
75.0 1 23 20
74.5 28 28 2
74.0 1 27 24 1
73.5 17 23 4
73.0 2 2 21 19
72.5 1 18 16
72.0 41 40 2
71.5 17 16 1
71.0 1 29 18
70.5 21 20
70.0 25 20
69.5 22 14
69.0 1 1 16 26 1
68.5 2 29 19 2
68.0 2 21 17
67.5 1 12 14 1
67.0 17 17
66.5 1 12 14 1
66.0 33 20 1
65.5 2 13 20 1
65.0 1 13 16
64.5 11 10
64.0 9 12 1
63.5 1 18 17
63.0 1 8 19
62.5 1 18 14 2
62.0 22 10
61.5 7 9 1
61.0 1 9 9 1
60.5 11 9
60.0 1 26 21 1
59.5 1 11 14
59.0 7 9
58.5 1 4 9
58.0 2 11 4
57.5 4 7
57.0 14 7
56.5 4 7 1
56.0 1 6 10
55.5 6 4 1
55.0 3 7
54.5 9 8
54.0 23 16 1
53.5 7 5 1
53.0 5 6 1
52.5 9 5
52.0 1 3 1 1
51.5 2 4
51.0 3 5
50.5 4 4 1
50.0 8 3
49.5 1 2
49.0 2 4
48.5 4 3 1
48.0 13 8 3
47.5 3 6 1
47.0 2 1
46.5 3 3
46.0 3 3
45.5 4 2
45.0 4 4
44.5 1 3
44.0 1 1
43.5 2 2
43.0 1
42.5 2 1 1
42.0 1 13 9
41.5 1 1
41.0 3 2
40.5 3 1
40.0 1
39.5 1 1
38.5 3 3
38.0 1 2
37.5 1
36.5 1
36.0 3 7 1
34.5 2
34.0 1
33.0 1 1
32.5 1
32.0 1
31.5 2
30.5 1
30.0 8 1
29.0 1
28.0 2 1
24.0 1
20.5 1 1
12.0 1
American Mathematics Competitions
2006 AMC 10 A Results for New York
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 9.88* 0.02 0.04 0.04 0.00 0.01 0.00
2 1.84 0.19 3.83* 0.09 1.15 2.90 0.00
3 0.04 8.86* 0.04 0.02 0.99 0.04 0.00
4 2.34 0.12 0.07 0.10 7.00* 0.37 0.00
5 0.12 0.81 0.97 7.46* 0.20 0.44 0.00
6 0.12 8.49* 0.22 0.14 0.08 0.96 0.00
7 7.22* 0.15 0.43 0.25 0.32 1.63 0.00
8 1.13 0.49 0.47 0.25 2.47* 5.20 0.00
9 1.42 1.59 5.89* 0.27 0.15 0.69 0.00
10 0.36 0.27 0.86 2.97 1.35* 4.21 0.00
11 1.60 1.04 1.64* 1.97 0.60 3.15 0.00
12 0.77 0.43 4.54* 1.11 0.32 2.83 0.00
13 0.25 0.89 0.27 5.36* 0.11 3.12 0.00
14 1.57 3.78* 0.23 1.05 0.52 2.85 0.00
15 0.88 0.47 0.45 1.19* 0.54 6.47 0.00
16 0.37 0.31 0.41 0.42* 0.77 7.71 0.00
17 1.97* 0.35 0.27 0.45 0.32 6.63 0.00
18 2.51 0.14 3.13* 0.29 0.18 3.75 0.00
19 0.54 1.47 0.83* 0.37 0.30 6.49 0.00
20 0.39 1.06 0.43 0.39 0.61* 7.11 0.00
21 0.69 0.66 0.49 0.68 1.04* 6.43 0.00
22 0.07 0.75 3.59* 3.37 0.67 1.55 0.00
23 0.52 1.48* 0.25 0.30 0.58 6.87 0.00
24 0.87 0.46* 0.48 0.24 0.34 7.60 0.00
25 1.90 0.73 0.49* 0.42 0.25 6.21 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 New York
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 49 27
149.0 124.0 1 99.0 8
148.5 123.5 98.5 23 18
148.0 123.0 1 98.0 25 19
147.5 122.5 97.5 3
147.0 122.0 19 3 97.0 42 17
146.5 1 121.5 96.5 1 2
146.0 121.0 96.0 55 32
145.5 120.5 5 95.5 14 8
145.0 120.0 95.0 26 17
144.5 119.5 13 4 94.5 36 16
144.0 1 119.0 94.0 3 2
143.5 118.5 48 15 93.5 37 27
143.0 118.0 2 93.0 8 2
142.5 117.5 92.5 29 24
142.0 117.0 4 1 92.0 20 13
141.5 116.5 91.5 7 4
141.0 116.0 21 9 91.0 55 32
140.5 115.5 90.5 5
140.0 115.0 27 24 90.0 47 33
139.5 114.5 2 89.5 12 6
139.0 114.0 89.0 41 20
138.5 113.5 12 4 88.5 30 20
138.0 1 113.0 88.0 4 8
137.5 112.5 72 31 87.5 37 33
137.0 3 1 112.0 1 87.0 8 1
136.5 111.5 27 11 86.5 28 22
136.0 2 111.0 6 1 86.0 21 8
135.5 110.5 85.5 8 13
135.0 110.0 29 8 85.0 29 18
134.5 109.5 84.5 8 6
134.0 109.0 44 20 84.0 38 33
133.5 3 108.5 2 83.5 19 8
133.0 108.0 25 23 83.0 26 21
132.5 1 107.5 19 3 82.5 28 16
132.0 1 107.0 82.0 9 6
131.5 106.5 63 26 81.5 27 15
131.0 1 106.0 2 81.0 7 6
130.5 105.5 32 26 80.5 30 16
130.0 1 105.0 5 3 80.0 15 9
129.5 104.5 11 7 79.5 11 15
129.0 1 1 104.0 30 12 79.0 8 18
128.5 103.5 78.5 4 9
128.0 103.0 54 32 78.0 28 29
127.5 102.5 2 1 77.5 11 12
127.0 102.0 40 25 77.0 22 22
126.5 3 101.5 7 6 76.5 13 15
126.0 101.0 24 12 76.0 7 6
125.5 9 5 100.5 40 27 75.5 8 9
American Mathematics Competitions
2006 AMC 12 A Results for New York
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 9 9 50.0 3 1 25.0
74.5 14 15 49.5 2 3 24.5
74.0 6 9 49.0 2 3 24.0 2 1
73.5 11 14 48.5 1 1 23.5
73.0 11 13 48.0 7 7 23.0 1
72.5 4 10 47.5 2 22.5
72.0 18 17 47.0 1 1 22.0
71.5 13 8 46.5 1 1 21.5
71.0 11 11 46.0 21.0
70.5 7 9 45.5 1 20.5
70.0 3 11 45.0 20.0
69.5 7 15 44.5 1 3 19.5
69.0 9 8 44.0 19.0
68.5 7 3 43.5 1 18.5
68.0 6 8 43.0 18.0 1
67.5 11 13 42.5 17.5
67.0 10 9 42.0 7 9 17.0
66.5 6 4 41.5 1 16.5
66.0 11 10 41.0 1 16.0
65.5 5 6 40.5 15.5
65.0 6 6 40.0 15.0
64.5 6 6 39.5 14.5
64.0 4 4 39.0 14.0
63.5 5 6 38.5 1 13.5
63.0 2 4 38.0 1 13.0
62.5 6 9 37.5 12.5
62.0 3 4 37.0 12.0
61.5 3 9 36.5 11.5
61.0 3 3 36.0 3 3 11.0
60.5 3 2 35.5 10.5
60.0 17 14 35.0 10.0
59.5 4 6 34.5 9.5
59.0 6 3 34.0 9.0
58.5 1 3 33.5 8.5
58.0 4 33.0 8.0
57.5 4 1 32.5 1 7.5
57.0 5 2 32.0 7.0
56.5 7 4 31.5 6.5
56.0 2 2 31.0 6.0
55.5 2 3 30.5 5.5
55.0 30.0 2 5.0
54.5 2 1 29.5 4.5
54.0 12 8 29.0 4.0
53.5 1 2 28.5 3.5
53.0 1 4 28.0 1 3.0
52.5 2 2 27.5 2.5
52.0 3 27.0 2.0
51.5 1 1 26.5 1 1 1.5
51.0 26.0 1.0
50.5 2 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for New York
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
146.5 1
144.0 1
138.0 1
137.0 1 3
136.0 2
133.5 1 2
132.5 1
132.0 1
131.0 1
130.0 1
129.0 1 2
126.5 1 1 1
125.5 1 7 6
124.0 1
123.0 1
122.0 2 8 12
120.5 6
119.5 3 7 7
118.5 1 1 24 39
118.0 1 1
117.0 2 3
116.0 1 8 22
115.0 4 26 21
114.5 1 1
113.5 1 6 9
112.5 2 44 57
112.0 1
111.5 3 20 15
111.0 3 4
110.0 4 17 19
109.0 4 27 34 1
108.5 1 2
108.0 1 4 17 27 1
107.5 1 12 7 3
106.5 1 10 39 41 3
106.0 2
105.5 2 5 26 26
105.0 1 3 4
104.5 1 11 8
104.0 2 17 24 1
103.0 7 40 43
102.5 2 1
102.0 1 1 5 32 26
101.5 8 4 1
101.0 1 5 12 18
100.5 1 5 35 30
99.5 1 2 3 38 33
99.0 1 1 4 3
98.5 5 24 15 1
98.0 1 1 25 19
97.5 2 2
97.0 1 2 37 24 1
96.5 2 1
96.0 4 42 42 1
95.5 8 15
95.0 2 5 17 21
94.5 1 24 26 3
94.0 3 2
93.5 6 34 25 2
93.0 9 1
92.5 4 31 19 1
92.0 1 1 18 14
91.5 4 8
91.0 3 4 49 31 1
90.5 3 3 1
90.0 1 7 45 32 1
89.5 10 8 1
89.0 3 35 25
88.5 2 2 30 18
88.0 5 8 1
87.5 2 4 35 32 2
87.0 8 2
86.5 4 28 18 1
86.0 2 16 13 1
85.5 1 1 12 7
85.0 1 2 29 14 1
84.5 6 8
84.0 3 45 24
83.5 16 11 1
83.0 1 2 30 18 1
82.5 2 25 17
82.0 1 7 7
81.5 27 16
81.0 9 5
80.5 26 20 1
80.0 15 9 1
79.5 18 9 1
79.0 3 13 13
78.5 11 5 1
78.0 3 39 18
77.5 17 6
77.0 4 28 12 1
76.5 1 14 10 4
76.0 1 7 5 1
75.5 2 10 6
75.0 9 8 1
74.5 1 19 10 1
74.0 9 7
73.5 1 17 8
73.0 1 16 10
72.5 9 6
72.0 2 1 22 11 1
71.5 16 7 2
71.0 1 13 8
70.5 10 7
70.0 9 7
69.5 14 10 1
69.0 10 7 1
68.5 8 2 1
68.0 1 9 5
67.5 1 13 10 1
67.0 14 5
66.5 6 5
66.0 1 10 11
65.5 2 8 2
65.0 7 5 1
64.5 9 3
64.0 6 2
63.5 7 5
63.0 1 5
62.5 11 4 1
62.0 3 4
61.5 1 9 3
61.0 3 4 1
60.5 1 3 2
60.0 1 19 15
59.5 1 6 3 1
59.0 4 5
58.5 4
58.0 3 1 1
57.5 4 1
57.0 1 2 5
56.5 8 3
56.0 2 2
55.5 2 3
54.5 3
54.0 13 9 1
53.5 2 1
53.0 3 2
52.5 1 3 1
52.0 1 2
51.5 2
50.5 2 1
50.0 4
49.5 5
49.0 3 2
48.5 1 1
48.0 1 7 6
47.5 1 2
47.0 2
46.5 1 1
45.5 1
44.5 3 1
43.5 1
42.0 12 5
41.5 1
41.0 1 1
38.5 1 1
38.0 1
36.0 5 2
32.5 1
32.0 1
30.0 1 1
28.0 1
26.5 2
24.0 1 2
23.0 1
18.0 1
American Mathematics Competitions
2006 AMC 12 A Results for New York
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 9.93* 0.02 0.02 0.01 0.01 0.01 0.00
2 1.77 0.12 6.51* 0.06 0.37 1.16 0.00
3 0.04 9.28* 0.02 0.02 0.62 0.02 0.00
4 1.69 0.10 0.04 0.06 7.93* 0.18 0.01
5 0.07 0.50 0.61 8.34* 0.15 0.32 0.00
6 7.71* 0.09 0.31 0.18 0.25 1.45 0.00
7 0.65 6.12* 0.65 0.55 0.35 1.68 0.00
8 0.65 1.05 7.52* 0.28 0.07 0.43 0.00
9 8.31* 0.19 0.07 0.06 0.28 1.10 0.00
10 0.29 0.15 0.67 3.68 2.87* 2.33 0.00
11 1.49 0.83 3.38* 0.91 0.57 2.82 0.00
12 1.26 5.80* 0.18 0.63 0.28 1.85 0.00
13 0.28 0.13 0.25 0.13 6.24* 2.97 0.00
14 0.07 0.53 5.55* 1.83 0.30 1.72 0.00
15 4.12* 1.25 0.24 0.64 1.58 2.17 0.00
16 0.31 4.18* 0.23 0.16 0.52 4.59 0.00
17 0.27 0.59* 0.45 0.34 0.08 8.28 0.00
18 1.18 0.10 0.24 0.67 0.54* 7.28 0.00
19 0.13 0.13 0.19 0.19 0.31* 9.05 0.00
20 1.41 0.45 0.57* 0.18 0.18 7.21 0.00
21 0.09 0.14 0.31 0.16 0.19* 9.11 0.00
22 0.12 0.16 0.15 0.17* 0.06 9.33 0.00
23 0.12 0.15* 0.16 0.14 0.17 9.26 0.00
24 0.75 0.17 0.27 0.25* 0.11 8.44 0.00
25 0.11 0.16 0.17 0.15 0.17* 9.23 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 New York
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 1 125.0 1 100.0 2 1
149.5 124.5 99.5 10 8
149.0 124.0 1 1 99.0 10 4
148.5 123.5 98.5 11 8
148.0 123.0 7 1 98.0 25 8
147.5 122.5 1 97.5 2 4
147.0 122.0 4 1 97.0 26 10
146.5 121.5 96.5 3 1
146.0 121.0 96.0 13 9
145.5 120.5 4 95.5 13 3
145.0 120.0 95.0 13 6
144.5 119.5 2 2 94.5 19 7
144.0 5 119.0 2 94.0 1 2
143.5 118.5 2 93.5 17 11
143.0 118.0 2 93.0 8 5
142.5 117.5 92.5 13 16
142.0 117.0 5 3 92.0 29 8
141.5 116.5 91.5 7 8
141.0 116.0 6 7 91.0 23 8
140.5 115.5 2 90.5 4 6
140.0 115.0 3 90.0 25 14
139.5 1 114.5 6 1 89.5 9 7
139.0 114.0 2 89.0 19 14
138.5 113.5 8 5 88.5 12 12
138.0 113.0 1 88.0 7 6
137.5 112.5 2 87.5 21 22
137.0 1 112.0 87.0 5 5
136.5 111.5 2 3 86.5 31 16
136.0 3 1 111.0 3 86.0 18 13
135.5 110.5 85.5 12 10
135.0 110.0 8 8 85.0 17 15
134.5 109.5 84.5 10 7
134.0 109.0 5 3 84.0 24 17
133.5 3 108.5 3 83.5 6 5
133.0 108.0 4 83.0 15 29
132.5 107.5 12 82.5 17 10
132.0 107.0 1 1 82.0 15 18
131.5 106.5 4 4 81.5 26 17
131.0 2 106.0 1 4 81.0 21 12
130.5 105.5 8 3 80.5 34 20
130.0 4 105.0 7 3 80.0 26 17
129.5 104.5 2 1 79.5 30 19
129.0 1 104.0 27 10 79.0 23 18
128.5 103.5 1 78.5 15 19
128.0 103.0 9 5 78.0 34 33
127.5 2 1 102.5 5 1 77.5 22 14
127.0 102.0 7 2 77.0 24 21
126.5 4 1 101.5 9 1 76.5 21 20
126.0 101.0 1 1 76.0 17 18
125.5 3 2 100.5 13 6 75.5 19 19
American Mathematics Competitions
2006 AMC 10 B Results for New York
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 14 9 50.0 13 18 25.0 1
74.5 35 32 49.5 16 15 24.5 1 4
74.0 24 23 49.0 9 12 24.0 11 7
73.5 28 20 48.5 12 13 23.5 2 6
73.0 31 18 48.0 42 24 23.0 1
72.5 15 19 47.5 8 7 22.5
72.0 40 38 47.0 7 16 22.0 1
71.5 16 19 46.5 8 16 21.5
71.0 31 35 46.0 6 5 21.0 2
70.5 15 16 45.5 5 15 20.5 2 1
70.0 16 28 45.0 5 15 20.0
69.5 21 20 44.5 10 16 19.5 1 2
69.0 18 25 44.0 13 15 19.0
68.5 30 35 43.5 6 9 18.5 1 2
68.0 22 19 43.0 7 11 18.0 5 11
67.5 34 28 42.5 5 13 17.5
67.0 18 14 42.0 26 36 17.0 1
66.5 25 19 41.5 6 11 16.5
66.0 32 32 41.0 2 9 16.0
65.5 21 28 40.5 4 15 15.5
65.0 30 22 40.0 4 9 15.0 1
64.5 11 23 39.5 3 15 14.5
64.0 19 20 39.0 4 4 14.0
63.5 30 25 38.5 11 11 13.5
63.0 12 20 38.0 7 9 13.0
62.5 30 33 37.5 1 6 12.5
62.0 27 22 37.0 3 5 12.0 8
61.5 24 30 36.5 1 3 11.5
61.0 20 22 36.0 27 24 11.0
60.5 15 22 35.5 6 6 10.5
60.0 37 30 35.0 3 3 10.0
59.5 21 19 34.5 2 5 9.5
59.0 20 26 34.0 2 5 9.0
58.5 19 22 33.5 1 2 8.5 1
58.0 20 16 33.0 7 5 8.0
57.5 13 14 32.5 7 1 7.5
57.0 22 19 32.0 2 6 7.0
56.5 15 28 31.5 5 4 6.5
56.0 25 18 31.0 4 6.0 3 1
55.5 13 28 30.5 7 1 5.5
55.0 10 24 30.0 19 19 5.0
54.5 20 20 29.5 2 4 4.5
54.0 32 40 29.0 1 1 4.0
53.5 9 18 28.5 5 3.5
53.0 16 18 28.0 1 3 3.0
52.5 17 19 27.5 1 2 2.5
52.0 20 16 27.0 3 2.0
51.5 11 24 26.5 3 5 1.5
51.0 7 13 26.0 1 1.0
50.5 21 24 25.5 2 2 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for New York
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1 1
144.0 1 4
139.5 1
137.0 1
136.0 1 1 2
133.5 1 2
131.0 2
130.0 4
129.0 1
127.5 1 2
126.5 1 4
125.5 1 4
125.0 1
124.0 2
123.0 1 4 4
122.5 1
122.0 2 3
120.5 1 3
119.5 3 2
119.0 2
118.5 2
118.0 1 1
117.0 1 2 6
116.0 8 8
115.5 2
115.0 3
114.5 6 1
114.0 1 1
113.5 5 9
113.0 1
112.5 1 1
112.0 1
111.5 2 4
111.0 1 2
110.0 1 6 10
109.0 3 5
108.5 1 3
108.0 1 3
107.5 4 3 6
107.0 2
106.5 3 7 1
106.0 1 2 2
105.5 2 9
105.0 1 2 7
104.5 3
104.0 5 10 24
103.5 1
103.0 1 4 10
102.5 6
102.0 6 3
101.5 1 1 9
101.0 1 1
100.5 3 10 8
100.0 1 2
99.5 6 13
99.0 1 4 11
98.5 6 13
98.0 2 14 17
97.5 2 4
97.0 1 3 14 19
96.5 1 2 1
96.0 1 7 15 2
95.5 5 11
95.0 2 8 10
94.5 9 17
94.0 1 2
93.5 1 3 6 18 1
93.0 1 5 9
92.5 1 13 16
92.0 1 16 20 1
91.5 3 6 6
91.0 1 13 20 2
90.5 6 4
90.0 1 1 19 19 1
89.5 8 8 1
89.0 1 16 17
88.5 8 16 1
88.0 2 7 5
87.5 1 2 19 25 1
87.0 1 1 3 5
86.5 3 1 11 32 2
86.0 1 14 16
85.5 9 14 2
85.0 1 13 18 1
84.5 7 12
84.0 1 2 14 25 3
83.5 5 6 1
83.0 1 2 15 28 1
82.5 1 12 16
82.0 1 18 15 2
81.5 1 1 14 30
81.0 2 15 16
80.5 3 20 33 1
80.0 1 1 18 25
79.5 1 1 1 24 26 1
79.0 2 17 23 1
78.5 2 9 24
78.0 26 42 1
77.5 1 1 17 19 1
77.0 1 18 27 3
76.5 2 18 24
76.0 1 15 21
75.5 1 21 14 3
75.0 2 10 14
74.5 5 21 44 1
74.0 1 4 18 26
73.5 1 3 18 28 3
73.0 2 16 32 2
72.5 2 16 19
72.0 2 4 29 44 3
71.5 3 1 19 14
71.0 1 2 37 35 2
70.5 1 3 12 18
70.0 2 19 26
69.5 3 1 20 20 1
69.0 1 3 22 17 3
68.5 1 26 37 7
68.0 1 15 29 1
67.5 1 1 22 39
67.0 1 2 10 20 1
66.5 1 2 18 25 2
66.0 1 3 23 40 3
65.5 1 3 2 25 20
65.0 2 1 26 24 4
64.5 20 16
64.0 1 3 21 15
63.5 3 3 21 31
63.0 1 3 18 14 2
62.5 5 30 31 10
62.0 1 1 30 18 5
61.5 2 1 4 26 25 1
61.0 1 18 21 5
60.5 2 13 20 4
60.0 3 4 29 34 5
59.5 1 3 21 18
59.0 1 2 15 29 3
58.5 2 2 16 23
58.0 1 2 13 20 3
57.5 2 15 13 2
57.0 3 2 20 18 4
56.5 1 29 20
56.0 1 1 20 22
55.5 1 25 18 2
55.0 1 3 1 10 20 2
54.5 4 1 19 16 1
54.0 3 1 35 39
53.5 2 1 11 15 3
53.0 1 18 17
52.5 1 17 17 3
52.0 2 1 2 19 13 1
51.5 1 1 15 17 2
51.0 1 9 10 2
50.5 1 28 18 2
50.0 1 17 14 1
49.5 2 1 19 10 3
49.0 14 8
48.5 15 13 1
48.0 1 5 32 32 1
47.5 1 2 10 3
47.0 1 10 15
46.5 1 14 9
46.0 1 1 4 6 1
45.5 1 10 9
45.0 1 1 8 13
44.5 1 1 12 12 1
44.0 1 1 14 12
43.5 2 12 3 1
43.0 3 1 8 6 4
42.5 10 8
42.0 2 1 30 32
41.5 2 1 5 9
41.0 1 5 6
40.5 1 2 6 11
40.0 1 8 4
39.5 2 11 5 1
39.0 1 4 3
38.5 1 1 1 11 7 2
38.0 13 5
37.5 1 4 3
37.0 5 4
36.5 1 3 1
36.0 34 17 1
35.5 1 1 4 6
35.0 4 2
34.5 3 3 1
34.0 4 3
33.5 1 1 1
33.0 1 7 4
32.5 2 2 4
32.0 1 4 3
31.5 6 3
31.0 1 1 2
30.5 1 1 1 5
30.0 2 22 15 1
29.5 4 2
29.0 1 1 1
28.5 2 3
28.0 2 2
27.5 1 2
27.0 1 2
26.5 3 4 1
26.0 1 1
25.5 2 2
25.0 1
24.5 1 3 1
24.0 14 4
23.5 1 6 1
23.0 1
22.0 1 1
21.0 1 1
20.5 3
19.5 1 2
18.5 3
18.0 11 5 1
17.0 1
15.0 1
12.0 1 3 4
8.5 1
6.0 3 2
American Mathematics Competitions
2006 AMC 10 B Results for New York
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 0.74 0.56 5.52* 1.81 0.84 0.52 0.00
2 6.59* 0.65 0.17 0.19 0.44 1.95 0.00
3 8.03* 0.21 0.05 1.10 0.35 0.27 0.00
4 1.25 1.66 0.47 3.18* 2.37 1.06 0.00
5 0.72 5.22* 2.08 0.49 0.20 1.29 0.00
6 0.41 0.26 3.28 3.71* 0.44 1.90 0.00
7 2.30* 1.85 1.18 0.83 1.11 2.73 0.00
8 1.76 1.15* 0.38 1.44 0.71 4.55 0.00
9 0.14 7.58* 0.17 0.17 0.97 0.98 0.00
10 3.38* 0.58 1.12 0.21 2.62 2.09 0.00
11 0.42 0.36 3.30* 0.68 0.29 4.95 0.00
12 0.30 0.43 0.30 0.61 4.18* 4.18 0.00
13 0.71 0.19 2.30 0.94 2.58* 3.28 0.00
14 0.27 0.32 0.41 1.38* 0.18 7.43 0.00
15 0.85 0.45 1.61* 0.31 0.40 6.39 0.00
16 2.19 0.46 1.96 0.96 1.83* 2.59 0.00
17 2.15 1.15 1.37 2.51* 0.19 2.63 0.00
18 0.59 0.50 1.10 0.51 0.69* 6.62 0.00
19 0.38* 0.65 0.40 0.28 0.33 7.96 0.00
20 0.47 0.37 0.46 0.70 0.91* 7.08 0.00
21 0.77 0.35 0.91* 1.56 0.62 5.79 0.00
22 0.33 0.63 1.71 0.96* 0.20 6.17 0.00
23 0.33 0.65 0.39 0.53* 0.36 7.75 0.00
24 0.20 0.88* 0.74 0.44 0.29 7.45 0.01
25 0.28 1.96* 0.26 1.76 0.44 5.30 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 B Results for New York
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 2 100.0
149.5 124.5 99.5 43 22
149.0 124.0 3 99.0 4 2
148.5 123.5 98.5 73 62
148.0 123.0 6 2 98.0 18 2
147.5 122.5 97.5 18 12
147.0 122.0 11 5 97.0 28 18
146.5 121.5 96.5 1
146.0 121.0 96.0 75 49
145.5 120.5 9 95.5 5 3
145.0 120.0 95.0 165 93
144.5 119.5 15 1 94.5 12 8
144.0 119.0 94.0 15 9
143.5 118.5 21 5 93.5 41 23
143.0 118.0 2 1 93.0 2 2
142.5 117.5 92.5 76 53
142.0 117.0 7 92.0 7 3
141.5 116.5 91.5 47 39
141.0 116.0 24 8 91.0 28 16
140.5 115.5 1 1 90.5 11 11
140.0 115.0 20 11 90.0 65 55
139.5 1 114.5 7 2 89.5 6 2
139.0 114.0 1 89.0 125 87
138.5 113.5 11 2 88.5 20 10
138.0 113.0 88.0 30 33
137.5 112.5 29 9 87.5 31 32
137.0 112.0 87.0 11 7
136.5 111.5 43 19 86.5 52 56
136.0 3 111.0 6 86.0 8 5
135.5 110.5 85.5 29 53
135.0 110.0 11 1 85.0 26 9
134.5 109.5 84.5 29 26
134.0 109.0 37 7 84.0 59 51
133.5 2 108.5 1 83.5 9 9
133.0 108.0 67 44 83.0 84 78
132.5 6 107.5 3 2 82.5 8 8
132.0 107.0 82.0 34 32
131.5 106.5 21 4 81.5 24 27
131.0 106.0 2 81.0 15 15
130.5 105.5 55 27 80.5 38 46
130.0 12 105.0 2 1 80.0 5 12
129.5 104.5 62 41 79.5 24 36
129.0 7 2 104.0 10 5 79.0 19 15
128.5 103.5 78.5 23 31
128.0 103.0 32 10 78.0 39 48
127.5 1 102.5 1 77.5 12 16
127.0 102.0 80 63 77.0 46 51
126.5 7 2 101.5 6 1 76.5 16 20
126.0 101.0 121 78 76.0 21 28
125.5 7 3 100.5 20 5 75.5 20 26
American Mathematics Competitions
2006 AMC 12 B Results for New York
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 17 17 50.0 3 25.0
74.5 19 29 49.5 1 5 24.5
74.0 11 17 49.0 3 5 24.0 2 1
73.5 20 26 48.5 1 1 23.5
73.0 16 11 48.0 8 13 23.0
72.5 13 24 47.5 3 4 22.5
72.0 21 22 47.0 1 4 22.0
71.5 8 9 46.5 2 5 21.5
71.0 24 33 46.0 1 1 21.0
70.5 13 12 45.5 1 4 20.5 1 1
70.0 14 15 45.0 3 20.0
69.5 12 20 44.5 2 3 19.5
69.0 14 16 44.0 1 19.0
68.5 23 25 43.5 2 1 18.5 1
68.0 7 12 43.0 2 1 18.0 1 2
67.5 8 26 42.5 3 17.5
67.0 8 18 42.0 7 10 17.0
66.5 10 23 41.5 1 3 16.5
66.0 23 18 41.0 1 16.0
65.5 8 9 40.5 3 15.5
65.0 9 18 40.0 1 3 15.0
64.5 5 7 39.5 1 1 14.5
64.0 7 17 39.0 1 1 14.0
63.5 6 8 38.5 1 1 13.5
63.0 6 14 38.0 1 2 13.0
62.5 18 20 37.5 1 12.5
62.0 3 7 37.0 12.0
61.5 12 12 36.5 1 1 11.5
61.0 6 10 36.0 6 10 11.0
60.5 3 13 35.5 1 10.5
60.0 13 17 35.0 10.0
59.5 3 4 34.5 1 9.5
59.0 8 9 34.0 9.0
58.5 3 5 33.5 8.5
58.0 7 11 33.0 1 1 8.0
57.5 4 10 32.5 2 7.5
57.0 4 6 32.0 7.0
56.5 7 12 31.5 6.5
56.0 5 31.0 1 6.0
55.5 2 6 30.5 5.5
55.0 2 7 30.0 2 3 5.0
54.5 3 4 29.5 4.5
54.0 9 13 29.0 4.0
53.5 2 7 28.5 1 3.5
53.0 9 6 28.0 3.0
52.5 2 1 27.5 2.5
52.0 2 5 27.0 2 2.0
51.5 4 3 26.5 2 1.5
51.0 2 4 26.0 1.0
50.5 5 9 25.5 1 .5
0.0 0 1
American Mathematics Competitions
2006 AMC 12 B Results for New York
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 1
139.5 1
136.0 2 1
133.5 2
132.5 2 4
131.0 1
130.0 1 1 2 9
129.0 1 3 5
127.5 1
126.5 1 3 5
125.5 1 1 2 6
125.0 1 1
124.0 1 2
123.0 1 3 4
122.0 9 7
120.5 1 4 4
119.5 6 10
118.5 4 11 12
118.0 3
117.0 4 3
116.0 3 13 16
115.5 1 1
115.0 2 3 12 14
114.5 3 6
114.0 1
113.5 7 7
112.5 5 5 13 18
111.5 1 3 28 36
111.0 4 2
110.0 6 6
109.0 1 2 5 20 17
108.5 1
108.0 4 13 50 48 2
107.5 4 2 1
106.5 1 3 11 11
106.0 2
105.5 1 5 31 46 2
105.0 2 2
104.5 14 44 48
104.0 8 7
103.0 3 20 17 3
102.5 1
102.0 2 20 60 66 1
101.5 1 3 5
101.0 1 5 18 70 108 1
100.5 5 10 10
99.5 1 1 4 33 30 2
99.0 4 2
98.5 11 64 66 3
98.0 2 13 5
97.5 1 1 14 16 1
97.0 2 30 16 1
96.5 1
96.0 10 60 57
95.5 5 3
95.0 1 3 20 116 122 6
94.5 11 9
94.0 2 18 6
93.5 2 39 28 2
93.0 1 3
92.5 1 2 5 71 52 1
92.0 7 4 2
91.5 1 3 47 36 1
91.0 1 1 28 13 1
90.5 1 1 13 7
90.0 3 71 47 3
89.5 1 4 3
89.0 1 14 121 82 2
88.5 1 18 13 1
88.0 4 33 27 1
87.5 2 40 27
87.0 12 7
86.5 8 61 41 1
86.0 1 9 3 1
85.5 5 50 27 1
85.0 2 3 21 10
84.5 2 7 26 20
84.0 8 60 41 3
83.5 1 10 7 2
83.0 2 13 83 70 3
82.5 3 2 11
82.0 4 40 24 1
81.5 4 24 25 1
81.0 5 21 6
80.5 7 47 32 1
80.0 1 12 4
79.5 1 3 33 25
79.0 1 17 16
78.5 5 27 22
78.0 1 5 38 44 3
77.5 2 10 17
77.0 1 10 66 22 1
76.5 3 17 16
76.0 7 31 12
75.5 3 29 19
75.0 7 20 7 1
74.5 1 26 23
74.0 5 10 13
73.5 7 27 13 1
73.0 1 17 11 1
72.5 3 4 22 11 1
72.0 2 24 19
71.5 1 6 10
71.0 4 33 19 1
70.5 3 15 10
70.0 3 18 8
69.5 4 17 14
69.0 3 15 12 1
68.5 9 22 20
68.0 1 12 7
67.5 8 19 8
67.0 13 14
66.5 5 14 17 1
66.0 2 23 17
65.5 2 13 2
65.0 3 15 10
64.5 1 1 7 3
64.0 2 16 6
63.5 2 8 7
63.0 3 7 10
62.5 5 18 16 1
62.0 1 1 3 5
61.5 2 3 10 11 1
61.0 1 13 3 1
60.5 2 8 6
60.0 18 12
59.5 2 2 3
59.0 5 8 5 2
58.5 7 1
58.0 4 9 5
57.5 1 8 5
57.0 1 6 4
56.5 3 8 9
56.0 4 2
55.5 1 2 5
55.0 1 3 3 2 1
54.5 1 3 3
54.0 1 13 8 1
53.5 5 4
53.0 1 7 5 2
52.5 2 1
52.0 1 6 1
51.5 3 5
51.0 4 2
50.5 2 7 5
50.0 1 2
49.5 3 4
49.0 2 4 2
48.5 2
48.0 2 11 7 2
47.5 5 4
47.0 3 2
46.5 3 2 2
46.0 1 1
45.5 1 3 2
45.0 1 2 1
44.5 1 3 2
44.0 1
43.5 2 1 1
43.0 2 1
42.5 3
42.0 2 11 5 1
41.5 1 2 1
41.0 1
40.5 2 1
40.0 2 2
39.5 2 1
39.0 1 1 1
38.5 2 1
38.0 1 2 1
37.5 1
37.0 1
36.5 2
36.0 11 6
35.5 1
35.0 1
34.5 1
33.0 1 1
32.5 2
31.0 1
30.0 1 4
28.5 1
27.0 1 1
26.5 1 1
25.5 1
24.0 1 2
20.5 2
18.5 1
18.0 1 2
14.5 1
1
American Mathematics Competitions
2006 AMC 12 B Results for New York
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 0.31 0.34 8.09* 0.75 0.24 0.26 0.00
2 8.48* 0.28 0.06 0.07 0.29 0.82 0.01
3 8.67* 0.16 0.01 0.72 0.23 0.21 0.01
4 9.21* 0.25 0.10 0.21 0.04 0.18 0.00
5 7.05* 0.75 0.32 0.22 0.19 1.46 0.00
6 0.07 8.74* 0.09 0.09 0.51 0.50 0.00
7 0.53 8.24* 0.30 0.39 0.10 0.44 0.01
8 0.14 0.27 0.18 0.42 6.91* 2.08 0.00
9 0.44 4.85* 0.31 0.78 0.49 3.13 0.00
10 4.49* 0.70 0.95 0.15 2.21 1.50 0.01
11 0.58 0.14 1.23 0.89 4.59* 2.56 0.00
12 0.62 0.52 0.44 1.18* 0.49 6.74 0.00
13 0.56 0.51 2.40* 0.23 0.37 5.92 0.00
14 0.20 0.39 1.69 2.07* 0.11 5.55 0.00
15 0.25 1.91* 0.78 0.34 0.20 6.52 0.01
16 0.22 0.20 0.97* 0.27 0.19 8.14 0.00
17 0.62 0.19 1.45* 0.89 0.34 6.50 0.00
18 0.40 0.70* 0.94 0.28 0.17 7.52 0.00
19 0.12 2.00* 0.17 1.31 0.25 6.15 0.00
20 0.21 0.23 0.25* 0.18 0.47 8.66 0.00
21 0.20 0.15 0.19* 0.13 0.14 9.19 0.00
22 0.13 0.29* 0.22 0.15 0.08 9.12 0.00
23 0.16 0.23 0.39 0.26 0.14* 8.82 0.00
24 0.14 0.14 0.16* 0.19 0.10 9.27 0.00
25 0.11 0.21* 0.17 0.24 0.11 9.16 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
