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Missing Title
American Mathematics Competitions
2005 AMC 10 A Results for New York
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 5588
Number of unofficial participants: 105
Average score of participants: 75.4
Average score for female students is: 73.3 ( 2537 Students)
Average score for male students is: 77.7 ( 2709 Students)
Average score for unspecified gender is 72.9 ( 342 Students)
Average score for grade 10 is: 77.6 ( 2556 Students)
Average score for grade 9 is: 73.7 ( 2673 Students)
Average score for grade 8 and below is: 74.2 ( 229 Students)
Average score with unknown grade: 69.8 ( 130 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 37
Number of schools returning results 130
Average school winning score 104.87
American Mathematics Competitions
2005 AMC 12 A Results for New York
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4903
Number of unofficial participants: 40
Average score of participants: 80.6
Average score for female students is: 77.0 ( 2099 Students)
Average score for male students is: 83.9 ( 2547 Students)
Average score for unspecified gender is 77.5 ( 257 Students)
Average score for grade 13 is: 81.4 ( 5 Students)
Average score for grade 12 is: 83.0 ( 1920 Students)
Average score for grade 11 is: 79.3 ( 2522 Students)
Average score for grade 10 is: 78.1 ( 302 Students)
Average score for grade 9 is: 83.8 ( 21 Students)
Average score for grade 8 and below is: 109.5 ( 2 Students)
Average score with unknown grade: 75.3 ( 131 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 618
Number of schools returning results 140
Average school winning score 109.03
Average school team score 306.40
American Mathematics Competitions
2005 AMC 10 B Results for New York
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3651
Number of unofficial participants: 0
Average score of participants: 79.0
Average score for female students is: 76.2 ( 1577 Students)
Average score for male students is: 81.8 ( 1853 Students)
Average score for unspecified gender is 76.1 ( 221 Students)
Average score for grade 10 is: 80.2 ( 1924 Students)
Average score for grade 9 is: 78.1 ( 1483 Students)
Average score for grade 8 and below is: 75.2 ( 168 Students)
Average score with unknown grade: 76.3 ( 76 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 33
Number of schools returning results 112
Average school winning score 105.02
American Mathematics Competitions
2005 AMC 12 B Results for New York
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4300
Number of unofficial participants: 0
Average score of participants: 83.2
Average score for female students is: 79.9 ( 1741 Students)
Average score for male students is: 85.7 ( 2381 Students)
Average score for unspecified gender is 82.2 ( 178 Students)
Average score for grade 12 is: 85.0 ( 1524 Students)
Average score for grade 11 is: 82.2 ( 2267 Students)
Average score for grade 10 is: 81.7 ( 350 Students)
Average score for grade 9 is: 83.7 ( 100 Students)
Average score for grade 8 and below is: 97.0 ( 4 Students)
Average score with unknown grade: 81.2 ( 55 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 529
Number of schools returning results 142
Average school winning score 106.32
Average school team score 296.06
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
421.5 1 1
401.5 1 2
396.0 2 3
390.0 1 5
389.0 2 6
384.0 1 8
381.5 1 9
378.5 1 10
375.0 1 11
368.5 1 12
367.5 1 13
366.5 1 14
364.5 1 15
363.0 1 16
362.0 1 17
361.5 1 18
359.0 2 1 19
358.5 1 22
357.0 1 23
356.5 1 24
354.0 1 25
353.0 1 1 26
350.5 2 28
350.0 1 30
348.5 1 31
347.5 1 32
345.5 1 33
344.5 1 34
344.0 1 35
342.0 1 36
341.5 1 37
341.0 1 1 38
340.0 1 40
339.0 1 41
338.0 1 42
335.0 2 43
334.5 1 45
334.0 1 46
332.5 2 47
332.0 1 49
331.5 3 50
331.0 3 53
330.5 2 1 56
329.5 2 59
329.0 2 1 61
328.5 1 64
328.0 2 65
325.5 1 67
325.0 2 1 68
324.0 1 71
323.5 1 72
323.0 1 73
322.5 1 1 74
322.0 1 1 76
321.5 1 78
321.0 2 79
320.5 1 81
320.0 4 1 82
319.0 2 87
318.5 1 89
318.0 1 90
317.5 2 1 91
316.5 1 94
315.5 2 3 95
315.0 1 100
314.5 2 101
314.0 2 103
313.5 2 105
313.0 2 2 107
312.0 2 111
311.5 2 2 113
311.0 1 117
310.5 2 3 118
310.0 1 123
309.5 2 1 124
309.0 1 127
308.5 1 128
308.0 1 129
307.5 2 1 130
307.0 2 1 133
306.5 1 136
306.0 1 2 137
305.5 1 140
305.0 2 141
304.5 2 2 143
304.0 1 3 147
303.5 3 1 151
303.0 1 155
302.5 1 2 156
302.0 2 159
301.5 1 1 161
301.0 1 163
300.0 2 164
299.5 1 166
299.0 2 167
298.5 2 169
298.0 2 171
297.5 2 173
296.5 1 175
295.0 1 176
294.5 1 177
294.0 1 178
293.5 1 179
293.0 2 180
292.5 1 182
292.0 2 1 183
291.5 1 186
291.0 1 187
290.5 1 2 188
289.5 2 191
289.0 3 193
288.5 2 196
288.0 1 198
287.5 1 1 199
287.0 2 3 201
286.0 2 206
285.5 1 208
285.0 1 209
284.0 1 210
283.5 1 211
282.5 1 2 212
282.0 1 215
281.5 1 2 216
281.0 1 219
280.5 1 220
280.0 2 1 221
279.5 1 224
278.5 1 225
278.0 1 226
277.5 1 1 227
277.0 1 229
276.5 1 230
275.0 1 231
274.5 1 232
273.5 1 233
271.0 1 234
269.5 1 235
269.0 1 236
268.5 3 237
267.5 1 240
267.0 1 241
266.0 1 242
264.5 1 243
263.5 1 244
263.0 1 245
262.5 1 246
262.0 1 1 247
261.5 1 249
261.0 1 250
260.0 1 1 251
258.0 1 253
256.5 1 254
256.0 1 255
255.5 1 256
254.5 3 257
253.5 1 260
250.0 1 261
247.0 1 1 262
244.5 1 264
243.5 1 265
242.0 1 266
240.5 1 267
236.5 1 268
233.5 1 269
231.5 1 270
225.0 1 271
212.0 1 272
203.5 1 273
197.0 1 274
194.5 1 275
175.5 1 276
153.0 1 277
127.5 1 278
103.0 1 279
97.0 1 280
91.5 1 281
84.0 1 282
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
144.0 1
143.0 3
140.5 1 2
139.5 1 1
138.0 3 1 1 1
137.0 1
136.0 1 2 1
134.5 1 1 1
133.5 1 2 1
132.5 4 4
132.0 1
131.0 1 1 4 2
130.0 3 2 3
129.0 2 2
128.5 1
127.5 4 2 1 1
126.5 1 3 2 4
126.0 1 1
125.5 5 6
125.0 1 2
124.0 3 6 3 5
123.0 5 5 1 7
122.5 1 1 2
122.0 3 4 1 2
121.5 3 4 1
120.5 2 4 5 2
119.5 4 1 3 6
119.0 2
118.5 14 11 5
118.0 1 4 6 3
117.0 8 5 9 9
116.5 1
116.0 5 2 5 13
115.5 1 2 3 1
115.0 13 13 2
114.5 2 6 7 3
114.0 1 1 3
113.5 6 4 11 16
113.0 2 2
112.5 19 15 1 14
112.0 1 1 2
111.5 36 14 1 6
111.0 4 5 8 8
110.5 1
110.0 11 13 26 25
109.5 1 1
109.0 32 21 9 22
108.5 3 2 6 1
108.0 40 31 5 12
107.5 7 12 21 19
107.0 2 1 1
106.5 24 22 21 21
106.0 2 5 2 2
105.5 37 32 16 15
105.0 3 1 13 11
104.5 49 40 4 11
104.0 14 17 39 19
103.5 3
103.0 32 29 26 18
102.5 1 7 8
102.0 89 69 22 26
101.5 7 4 27 21
101.0 96 72 8 11
100.5 15 22 25 29
100.0 1 6 4
99.5 54 48 32 35
99.0 2 1 12 10
98.5 99 87 25 34
98.0 10 15 36 31
97.5 28 23 13 6
97.0 27 34 32 28
96.5 2 8 12
96.0 95 90 31 38
95.5 3 9 22 17
95.0 145 171 42 51
94.5 16 20 35 27
94.0 33 25 17 11
93.5 57 49 50 49
93.0 2 4 15 17
92.5 87 97 46 58
92.0 10 22 35 45
91.5 53 68 33 31
91.0 26 42 51 42
90.5 35 24 20 15
90.0 78 92 60 61
89.5 8 10 22 17
89.0 164 159 79 50
88.5 17 28 39 27
88.0 60 52 43 28
87.5 40 43 54 45
87.0 31 30 30 22
86.5 90 104 75 73
86.0 11 6 52 36
85.5 78 75 64 39
85.0 33 40 50 38
84.5 54 57 60 37
84.0 64 89 80 69
83.5 35 26 38 34
83.0 140 172 79 50
82.5 21 20 40 38
82.0 77 72 86 32
81.5 43 58 70 52
81.0 54 38 61 16
80.5 80 86 82 54
80.0 31 25 53 28
79.5 70 61 99 62
79.0 28 35 50 34
78.5 61 46 80 41
78.0 58 57 82 77
77.5 42 40 61 32
77.0 88 100 110 43
76.5 26 24 36 37
76.0 66 58 91 44
75.5 42 40 58 38
75.0 46 33 67 24
74.5 82 89 62 47
74.0 47 31 63 27
73.5 52 58 69 47
73.0 23 29 50 33
72.5 61 29 80 34
72.0 44 71 72 53
71.5 45 17 76 35
71.0 80 66 74 43
70.5 30 24 55 26
70.0 58 32 78 42
69.5 43 31 58 31
69.0 37 28 88 28
68.5 40 42 82 33
68.0 30 14 69 23
67.5 52 25 65 29
67.0 43 26 51 21
66.5 39 18 75 22
66.0 43 47 72 69
65.5 36 11 59 20
65.0 38 32 49 32
64.5 33 12 26 24
64.0 42 13 48 16
63.5 26 15 34 22
63.0 23 17 48 19
62.5 55 31 60 30
62.0 21 10 40 25
61.5 28 14 43 18
61.0 31 14 32 18
60.5 21 9 50 18
60.0 39 32 62 38
59.5 18 10 38 14
59.0 21 9 30 19
58.5 8 11 27 15
58.0 22 10 38 12
57.5 25 9 31 17
57.0 16 6 36 12
56.5 25 15 39 21
56.0 18 7 39 14
55.5 21 8 22 19
55.0 14 2 24 15
54.5 20 5 29 12
54.0 19 26 58 35
53.5 8 1 21 7
53.0 22 7 25 15
52.5 14 7 16 8
52.0 8 6 24 5
51.5 14 3 20 9
51.0 7 5 19 14
50.5 11 7 19 9
50.0 5 20 11
49.5 10 4 14 8
49.0 10 5 15 6
48.5 7 2 16 7
48.0 20 25 30 23
47.5 7 2 9 8
47.0 6 2 11 3
46.5 6 2 13 7
46.0 10 4 11 6
45.5 9 2 14 3
45.0 5 3 5 3
44.5 6 4 16 7
44.0 5 2 7 5
43.5 2 1 6 5
43.0 3 1 5 4
42.5 2 1 5 3
42.0 17 21 23 15
41.5 6 6 3
41.0 3 3 7 4
40.5 3 4
40.0 1 2 4
39.5 2 2 2
39.0 1 1 3 4
38.5 5 6 6
38.0 3 2 3
37.5 3 7 4
37.0 4 1 1
36.5 9 8 6
36.0 13 17 23 11
35.5 3 4 1
35.0 2 2 1 2
34.5 1 1 2
34.0 3 1
33.5 1
33.0 1 1 3 1
32.5 2 5 6
32.0 1 3
31.5 1 2 1
31.0 1 1
30.5 1 3 1
30.0 5 5 18 10
29.5 1 1
29.0 1 2
28.0 1 2 1
27.5 1
27.0 1
26.5 2 2 2
26.0 1 1 1
25.5 1
24.0 4 7 7 9
22.0 1
21.0 1
20.5 3 1
18.0 1 1 2
17.0 1
12.0 1 1
1
American Mathematics Competitions
2005 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 2 100.0 6
149.5 124.5 99.5 21 10
149.0 124.0 3 99.0 8 3
148.5 123.5 98.5 12 11
148.0 123.0 1 98.0 21 12
147.5 122.5 2 97.5 7 6
147.0 122.0 1 97.0 13 15
146.5 121.5 3 1 96.5 6 2
146.0 121.0 96.0 13 15
145.5 120.5 5 95.5 17 4
145.0 120.0 95.0 20 18
144.5 119.5 3 94.5 20 11
144.0 119.0 2 94.0 12 4
143.5 118.5 93.5 31 19
143.0 118.0 5 1 93.0 9 6
142.5 117.5 92.5 23 19
142.0 117.0 7 2 92.0 21 14
141.5 116.5 1 91.5 16 16
141.0 116.0 4 1 91.0 33 17
140.5 2 115.5 3 90.5 11 9
140.0 115.0 90.0 36 21
139.5 1 114.5 5 2 89.5 15 6
139.0 114.0 2 1 89.0 45 27
138.5 113.5 8 3 88.5 21 15
138.0 1 113.0 2 88.0 19 21
137.5 112.5 1 87.5 32 21
137.0 1 112.0 1 87.0 14 13
136.5 111.5 1 86.5 39 33
136.0 1 111.0 6 2 86.0 30 21
135.5 110.5 1 85.5 26 36
135.0 110.0 15 9 85.0 33 16
134.5 1 109.5 1 84.5 22 37
134.0 109.0 6 2 84.0 46 31
133.5 1 108.5 3 3 83.5 18 18
133.0 108.0 4 1 83.0 43 33
132.5 107.5 18 3 82.5 24 14
132.0 107.0 82.0 32 45
131.5 106.5 11 10 81.5 33 32
131.0 3 1 106.0 1 81.0 35 23
130.5 105.5 11 4 80.5 43 36
130.0 2 105.0 10 3 80.0 24 23
129.5 104.5 2 2 79.5 41 48
129.0 104.0 23 15 79.0 24 23
128.5 103.5 3 78.5 32 46
128.0 103.0 16 8 78.0 43 35
127.5 1 102.5 5 2 77.5 22 35
127.0 102.0 16 5 77.0 52 52
126.5 1 101.5 17 8 76.5 16 18
126.0 1 101.0 5 3 76.0 45 37
125.5 100.5 11 14 75.5 28 25
American Mathematics Competitions
2005 AMC 10 A Results for New York
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 29 31 50.0 8 12 25.0
74.5 25 33 49.5 2 12 24.5
74.0 30 29 49.0 7 8 24.0 2 4
73.5 34 27 48.5 5 11 23.5
73.0 21 25 48.0 19 7 23.0
72.5 31 46 47.5 3 5 22.5
72.0 31 33 47.0 4 6 22.0
71.5 33 41 46.5 2 11 21.5
71.0 40 31 46.0 10 1 21.0
70.5 27 25 45.5 2 9 20.5
70.0 37 38 45.0 2 3 20.0
69.5 27 25 44.5 8 8 19.5
69.0 42 42 44.0 4 3 19.0
68.5 37 39 43.5 3 3 18.5
68.0 30 35 43.0 4 18.0 1 1
67.5 29 32 42.5 3 17.5
67.0 21 29 42.0 12 10 17.0
66.5 29 44 41.5 1 4 16.5
66.0 31 37 41.0 2 5 16.0
65.5 21 34 40.5 1 1 15.5
65.0 23 24 40.0 2 15.0
64.5 6 20 39.5 1 1 14.5
64.0 24 20 39.0 3 14.0
63.5 11 23 38.5 4 2 13.5
63.0 24 21 38.0 2 13.0
62.5 25 28 37.5 2 5 12.5
62.0 24 14 37.0 1 12.0
61.5 9 26 36.5 3 4 11.5
61.0 16 14 36.0 11 11 11.0
60.5 18 28 35.5 1 2 10.5
60.0 25 31 35.0 1 10.0
59.5 13 22 34.5 1 1 9.5
59.0 14 13 34.0 9.0
58.5 10 17 33.5 8.5
58.0 14 20 33.0 1 2 8.0
57.5 14 13 32.5 4 7.5
57.0 13 20 32.0 1 7.0
56.5 21 13 31.5 1 6.5
56.0 17 20 31.0 1 6.0
55.5 8 14 30.5 3 5.5
55.0 13 9 30.0 10 4 5.0
54.5 12 17 29.5 4.5
54.0 32 22 29.0 1 1 4.0
53.5 9 9 28.5 3.5
53.0 9 15 28.0 2 3.0
52.5 6 10 27.5 1 2.5
52.0 11 11 27.0 2.0
51.5 8 11 26.5 1 1 1.5
51.0 6 11 26.0 1 1.0
50.5 9 8 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for New York
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
140.5 1 1
139.5 1
138.0 1
137.0 1
136.0 1
134.5 1
133.5 1
132.0 1
131.0 2 2
130.0 1 1
127.5 1
126.5 1 1
126.0 1
125.0 1 1
124.0 3
123.0 1
122.5 2
122.0 1
121.5 1 3
120.5 5
119.5 2 1
119.0 2
118.0 3 3
117.0 3 5 1
116.5 1
116.0 1 2 2
115.5 1 2
114.5 4 3
114.0 2 1
113.5 1 4 6
113.0 1 1
112.5 1
112.0 1
111.5 1
111.0 3 5
110.5 1
110.0 11 15
109.5 1
109.0 3 6
108.5 2 4
108.0 2 3
107.5 7 14
107.0 1
106.5 1 8 12
106.0 1 1
105.5 3 12 1
105.0 1 8 4
104.5 1 1 2
104.0 21 18
103.5 1 2
103.0 7 19
102.5 1 2 4
102.0 2 10 10
101.5 2 12 13
101.0 5 3
100.5 1 8 16
100.0 1 3 2
99.5 1 16 15
99.0 3 8 1
98.5 1 10 13 1
98.0 16 20
97.5 3 2 8
97.0 12 17 3
96.5 1 7
96.0 11 19 1
95.5 1 11 10
95.0 22 19 1
94.5 9 24 2
94.0 1 1 7 8
93.5 1 20 29
93.0 10 5
92.5 1 3 17 24 1
92.0 1 14 19 1
91.5 1 2 14 16
91.0 1 22 28
90.5 1 9 10
90.0 2 23 34 1
89.5 1 9 10 2
89.0 2 38 37 2
88.5 1 12 25 1
88.0 1 3 20 19
87.5 2 3 21 26 2
87.0 1 12 17
86.5 2 35 38
86.0 20 31 1
85.5 2 32 28 2
85.0 23 27
84.5 1 25 33 1
84.0 42 36 2
83.5 1 18 19
83.0 2 44 32 1
82.5 1 18 21
82.0 1 1 3 38 40 3
81.5 1 29 39 1
81.0 1 3 31 26
80.5 3 2 36 41
80.0 1 3 2 31 14 2
79.5 4 4 52 37 2
79.0 3 16 31
78.5 1 37 42
78.0 1 5 36 39 1
77.5 1 1 29 28 2
77.0 1 1 1 51 55 1
76.5 1 19 16
76.0 1 4 48 38
75.5 2 2 24 29 1
75.0 1 30 33 3
74.5 2 1 32 26 1
74.0 1 1 32 28 1
73.5 1 2 2 33 28 3
73.0 1 2 25 20 2
72.5 1 2 44 32 1
72.0 4 29 37 2
71.5 3 2 39 31 1
71.0 1 1 30 42
70.5 2 2 22 27 2
70.0 1 1 1 53 22
69.5 1 2 25 28 2
69.0 2 47 36 3
68.5 1 5 39 34 3
68.0 2 37 28 2
67.5 2 31 29 3
67.0 1 1 28 20 1
66.5 2 40 31 2
66.0 2 36 33 1
65.5 2 4 31 19 3
65.0 27 20 2
64.5 16 10
64.0 1 21 25 1
63.5 1 1 16 16
63.0 4 25 19
62.5 31 24 5
62.0 1 16 22 1
61.5 1 1 24 15 2
61.0 16 15 1
60.5 1 29 15 5
60.0 1 41 19 1
59.5 22 16
59.0 1 10 17 2
58.5 1 1 7 18
58.0 20 16 2
57.5 1 14 16
57.0 3 1 16 15 1
56.5 1 22 15 1
56.0 1 24 14
55.5 3 1 11 7
55.0 1 11 11 1
54.5 1 15 13
54.0 1 1 33 19 4
53.5 11 10
53.0 18 7
52.5 8 8
52.0 1 1 11 11
51.5 1 12 5 2
51.0 1 11 7
50.5 1 10 7 1
50.0 1 11 8
49.5 1 7 6
49.0 1 7 7
48.5 10 6
48.0 1 16 11 2
47.5 7 1 1
47.0 7 4
46.5 9 2 2
46.0 6 4 1
45.5 7 6 1
45.0 1 3 1
44.5 12 3 1
44.0 1 3 3
43.5 2 4
43.0 4 1
42.5 2 2 1
42.0 1 1 18 3
41.5 3 2 1
41.0 4 3
40.5 2 1
40.0 1 1
39.5 1 1
39.0 1 2
38.5 3 3
38.0 2
37.5 1 1 2 3
37.0 1
36.5 5 2 1
36.0 2 13 6 2
35.5 1 2 1
35.0 1
34.5 1 1
33.0 1 2
32.5 3 1 1
32.0 1
31.5 2
31.0 1
30.5 1 1 1
30.0 1 15 2
29.0 1 1
28.0 2
27.5 1
26.5 2
26.0 1
25.5 1
24.0 1 1 5
18.0 1 1
American Mathematics Competitions
2005 AMC 10 A Results for New York
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 0.14 0.09 0.23 8.94* 0.32 0.27 0.00
2 0.10 0.14 6.60* 0.08 1.40 1.68 0.00
3 0.03 8.76* 0.28 0.42 0.08 0.43 0.00
4 0.52 1.91* 1.63 0.55 0.57 4.82 0.00
5 6.70* 0.49 2.49 0.08 0.07 0.17 0.00
6 0.23 6.09* 2.37 0.14 0.07 1.10 0.00
7 0.72 3.66* 0.29 0.39 0.62 4.32 0.00
8 0.93 0.26 4.84* 0.12 0.11 3.74 0.00
9 1.37 5.69* 0.80 0.16 0.13 1.84 0.00
10 1.89* 0.42 1.00 0.43 0.18 6.08 0.00
11 0.43 2.06* 0.26 0.72 0.11 6.42 0.00
12 0.34 1.05* 0.58 0.22 0.59 7.23 0.00
13 1.63 0.59 0.35 0.34 0.78* 6.31 0.00
14 0.84 0.53 0.36 0.48 2.40* 5.40 0.00
15 0.38 0.92 0.96 1.46 1.34* 4.93 0.00
16 0.54 0.31 0.80 2.38* 0.14 5.83 0.00
17 0.29 0.29 0.47 1.85* 0.42 6.68 0.00
18 1.20* 1.52 0.72 4.17 0.19 2.20 0.00
19 0.39 0.67 0.76 3.19* 0.58 4.40 0.00
20 0.51* 0.33 0.54 0.44 0.28 7.89 0.00
21 1.49 0.82* 0.32 0.29 0.57 6.51 0.00
22 0.94 0.44 0.31 2.44* 0.53 5.33 0.00
23 0.20 0.43 1.21* 0.96 0.78 6.41 0.00
24 1.13 0.72* 0.30 0.19 0.10 7.57 0.00
25 0.30 0.69 0.77 0.77* 0.11 7.36 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 New York
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 100.0
149.5 124.5 99.5 35 18
149.0 124.0 3 99.0 2
148.5 123.5 98.5 53 44
148.0 123.0 5 98.0 4 6
147.5 122.5 1 97.5 14 11
147.0 122.0 2 1 97.0 18 4
146.5 121.5 3 96.5 1
146.0 121.0 96.0 59 33
145.5 120.5 2 95.5 3
145.0 120.0 95.0 98 40
144.5 119.5 4 94.5 8 6
144.0 119.0 94.0 19 13
143.5 118.5 12 1 93.5 35 19
143.0 2 1 118.0 1 93.0 1 1
142.5 117.5 92.5 55 26
142.0 117.0 7 1 92.0 4 6
141.5 116.5 91.5 28 23
141.0 116.0 4 1 91.0 17 8
140.5 1 115.5 1 90.5 11 21
140.0 115.0 10 1 90.0 41 35
139.5 114.5 2 89.5 6 2
139.0 114.0 1 89.0 94 62
138.5 113.5 6 88.5 10 7
138.0 3 113.0 88.0 24 29
137.5 112.5 18 87.5 23 16
137.0 112.0 87.0 16 14
136.5 111.5 23 12 86.5 46 42
136.0 1 111.0 4 86.0 7 3
135.5 110.5 85.5 39 33
135.0 110.0 8 3 85.0 18 12
134.5 109.5 84.5 30 20
134.0 109.0 17 13 84.0 40 22
133.5 1 108.5 3 83.5 17 17
133.0 108.0 29 9 83.0 78 55
132.5 4 107.5 6 1 82.5 12 8
132.0 107.0 82.0 29 41
131.5 106.5 19 4 81.5 25 15
131.0 1 106.0 2 81.0 23 29
130.5 105.5 30 6 80.5 48 29
130.0 105.0 3 80.0 16 12
129.5 104.5 34 15 79.5 36 31
129.0 104.0 12 1 79.0 14 14
128.5 103.5 78.5 27 30
128.0 103.0 20 9 78.0 35 19
127.5 3 1 102.5 1 77.5 15 25
127.0 102.0 59 28 77.0 49 37
126.5 1 101.5 6 1 76.5 15 11
126.0 101.0 65 29 76.0 32 32
125.5 3 2 100.5 7 7 75.5 22 20
American Mathematics Competitions
2005 AMC 12 A Results for New York
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 20 23 50.0 3 2 25.0
74.5 36 38 49.5 2 8 24.5
74.0 18 24 49.0 5 4 24.0 2 1
73.5 22 24 48.5 1 6 23.5
73.0 10 11 48.0 8 10 23.0
72.5 26 33 47.5 2 5 22.5
72.0 21 22 47.0 4 2 22.0 1
71.5 20 23 46.5 4 2 21.5
71.0 44 33 46.0 3 7 21.0
70.5 11 19 45.5 3 6 20.5 1 2
70.0 23 31 45.0 2 2 20.0
69.5 20 20 44.5 3 2 19.5
69.0 11 25 44.0 3 2 19.0
68.5 22 18 43.5 1 1 18.5
68.0 9 17 43.0 3 18.0
67.5 21 27 42.5 1 1 17.5
67.0 16 25 42.0 11 6 17.0
66.5 10 27 41.5 6 16.5
66.0 17 22 41.0 2 1 16.0
65.5 15 18 40.5 15.5
65.0 20 18 40.0 1 15.0
64.5 15 13 39.5 1 1 14.5
64.0 18 22 39.0 1 14.0
63.5 10 16 38.5 3 2 13.5
63.0 8 15 38.0 1 2 13.0
62.5 21 24 37.5 1 2 12.5
62.0 12 7 37.0 2 2 12.0
61.5 7 18 36.5 4 3 11.5
61.0 11 20 36.0 2 8 11.0
60.5 10 11 35.5 1 2 10.5
60.0 22 13 35.0 1 1 10.0
59.5 7 10 34.5 9.5
59.0 4 16 34.0 2 1 9.0
58.5 1 7 33.5 8.5
58.0 8 13 33.0 1 8.0
57.5 7 17 32.5 1 1 7.5
57.0 8 6 32.0 7.0
56.5 9 16 31.5 1 6.5
56.0 10 7 31.0 1 6.0
55.5 6 14 30.5 5.5
55.0 6 8 30.0 4 1 5.0
54.5 6 14 29.5 4.5
54.0 11 8 29.0 4.0
53.5 2 5 28.5 3.5
53.0 7 15 28.0 3.0
52.5 5 6 27.5 2.5
52.0 4 4 27.0 2.0
51.5 4 7 26.5 2 1.5
51.0 2 4 26.0 1.0
50.5 4 6 25.5 .5
0.0 1 0
American Mathematics Competitions
2005 AMC 12 A Results for New York
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
143.0 2 1
140.5 1
138.0 1 2
136.0 1
133.5 1
132.5 4
131.0 1
127.5 1 1 2
126.5 1
125.5 1 2 2
125.0 1
124.0 1 1 1
123.0 2 3
122.5 1
122.0 3
121.5 1 2
120.5 1 1
119.5 1 1 2
118.5 1 1 5 6 1
118.0 1
117.0 1 3 4
116.0 1 2 2
115.5 1
115.0 2 7 4
114.5 2
114.0 1
113.5 2 4
112.5 1 3 13 2
111.5 5 11 17 3
111.0 2 2
110.0 1 3 7
109.0 1 13 17 1
108.5 1 2
108.0 2 17 21
107.5 5 2
106.5 2 1 10 11
106.0 2
105.5 3 17 16 1
105.0 3
104.5 1 21 27
104.0 6 7 1
103.0 3 11 18
102.5 1
102.0 1 7 28 52 1
101.5 1 3 3
101.0 9 39 46 2
100.5 1 6 8
99.5 3 23 28
99.0 2
98.5 2 50 46 1
98.0 6 4
97.5 2 15 11
97.0 2 16 8 1
96.5 1 1
96.0 7 48 39 1
95.5 1 1 1
95.0 3 8 68 65 1
94.5 7 9
94.0 1 17 14 1
93.5 1 40 15 1
93.0 1 1
92.5 4 54 27 2
92.0 1 4 5
91.5 6 19 26 2
91.0 15 11
90.5 1 17 16 1
90.0 5 37 35 1
89.5 6 2
89.0 1 8 74 75 1 5
88.5 8 9
88.0 1 35 22 2
87.5 1 20 16 3
87.0 1 23 5 2
86.5 1 3 49 37
86.0 8 2 1
85.5 1 46 30 1
85.0 2 16 12 3
84.5 1 2 28 20 3
84.0 3 32 28 1
83.5 3 16 16
83.0 1 3 69 66 1
82.5 12 9
82.0 2 45 27 3
81.5 1 23 17 2
81.0 3 30 19 2
80.5 3 34 41 2
80.0 1 17 12 1
79.5 4 44 21 1
79.0 1 20 7
78.5 3 29 27 2
78.0 3 32 22 1
77.5 3 24 14 1
77.0 1 1 53 31 2
76.5 1 13 11 1
76.0 9 34 21 2
75.5 1 3 16 22
75.0 1 26 16 3
74.5 3 47 30 2
74.0 3 19 21 4
73.5 4 28 18 1 1
73.0 1 10 10 1 1
72.5 8 28 23 2
72.0 3 28 13
71.5 1 3 23 16 2
71.0 9 48 22 1
70.5 1 17 12
70.0 1 6 24 25 2
69.5 3 25 14 1
69.0 1 16 20
68.5 1 28 11
68.0 21 7 2
67.5 3 32 15 2
67.0 7 23 12 1
66.5 2 24 11 2
66.0 1 2 22 15 1 2
65.5 1 20 15
65.0 3 16 19
64.5 2 17 11 3
64.0 5 21 15 1
63.5 4 13 9
63.0 2 11 10
62.5 1 25 19 10
62.0 2 12 6 1
61.5 3 13 10 2
61.0 2 13 16
60.5 2 12 7
60.0 2 16 20 1
59.5 1 4 7 5 1
59.0 1 11 8 1
58.5 2 6
58.0 1 2 15 4
57.5 2 16 7
57.0 9 6 1
56.5 5 15 4 1
56.0 4 10 4
55.5 1 14 5 1
55.0 11 3
54.5 1 14 5
54.0 4 9 6
53.5 5 3
53.0 3 13 5 1
52.5 1 8 3 2
52.0 1 4 3
51.5 1 2 4 5 2
51.0 1 5 1
50.5 10 1
50.0 2 2 1
49.5 1 6 3
49.0 3 3 4
48.5 6 1
48.0 15 3 2
47.5 3 2 2
47.0 1 4 1
46.5 1 4 1
46.0 6 3 1
45.5 1 8
45.0 2 2 1
44.5 1 2 3
44.0 1 4
43.5 1 1
43.0 2 1
42.5 2
42.0 1 11 5
41.5 1 2 2 1
41.0 3
40.0 1
39.5 1 1
39.0 1
38.5 5
38.0 3
37.5 1 2
37.0 3 1
36.5 1 5 1 2
36.0 8 4 1
35.5 3
35.0 2
34.5 1
34.0 1 2
33.0 1
32.5 1 1
31.5 1
31.0 1
30.0 2 3
26.5 2
26.0 1
24.0 2 2
22.0 1
20.5 1 1 1
18.0 1
1
American Mathematics Competitions
2005 AMC 12 A Results for New York
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 0.03 0.04 0.08 9.58* 0.07 0.19 0.00
2 0.01 9.42* 0.14 0.29 0.02 0.12 0.00
3 0.37 4.84* 1.03 0.45 0.51 2.80 0.00
4 7.50* 0.31 1.94 0.06 0.03 0.16 0.00
5 0.16 7.88* 1.25 0.09 0.04 0.57 0.00
6 0.52 5.33* 0.28 0.33 0.78 2.75 0.00
7 0.49 0.17 7.54* 0.07 0.10 1.62 0.00
8 0.37 0.44 0.36 2.63* 0.22 5.98 0.00
9 4.22* 0.39 1.02 0.32 0.18 3.86 0.00
10 0.33 3.12* 0.23 0.65 0.14 5.54 0.00
11 1.09 0.48 0.40 0.51 3.76* 3.75 0.00
12 1.07 0.32 0.23 3.57* 1.19 3.62 0.00
13 0.19 0.22 0.46 3.16* 0.38 5.60 0.00
14 0.29 0.40 2.99 1.17* 0.38 4.76 0.00
15 0.25 0.39 1.56* 0.94 0.77 6.09 0.00
16 0.27 0.33 0.85 0.66* 0.40 7.49 0.00
17 1.57* 0.89 1.15 0.36 0.42 5.61 0.00
18 0.32* 0.46 0.27 0.28 0.27 8.40 0.00
19 0.81 2.07* 0.89 0.49 0.70 5.04 0.00
20 0.34 0.16 0.17 0.17 0.19* 8.98 0.00
21 0.48 0.41 0.36* 0.19 0.09 8.47 0.00
22 0.40 0.51* 0.26 0.28 0.20 8.35 0.00
23 0.44 0.54* 0.24 0.25 0.48 8.04 0.00
24 0.12 0.16* 0.19 0.19 0.07 9.27 0.00
25 0.33 0.22 0.17* 0.22 0.11 8.94 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 New York
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0 4
149.5 124.5 99.5 18 16
149.0 124.0 3 1 99.0 9 1
148.5 123.5 98.5 15 18
148.0 123.0 6 1 98.0 20 11
147.5 122.5 97.5 3 2
147.0 122.0 2 97.0 12 14
146.5 121.5 1 96.5 10 2
146.0 121.0 96.0 23 13
145.5 120.5 2 95.5 12 5
145.0 120.0 95.0 23 24
144.5 119.5 6 94.5 15 11
144.0 1 119.0 94.0 7 4
143.5 118.5 1 3 93.5 31 13
143.0 118.0 3 93.0 11 6
142.5 117.5 92.5 26 30
142.0 117.0 7 2 92.0 27 14
141.5 116.5 91.5 20 10
141.0 116.0 9 3 91.0 27 15
140.5 115.5 1 90.5 11 3
140.0 115.0 2 90.0 26 28
139.5 114.5 2 1 89.5 10 6
139.0 114.0 89.0 31 17
138.5 113.5 12 4 88.5 16 10
138.0 1 113.0 2 88.0 12 14
137.5 112.5 9 5 87.5 29 15
137.0 112.0 87.0 8 11
136.5 111.5 4 2 86.5 36 31
136.0 111.0 7 1 86.0 21 13
135.5 110.5 85.5 18 19
135.0 110.0 13 10 85.0 21 17
134.5 109.5 1 84.5 18 15
134.0 109.0 16 4 84.0 43 22
133.5 108.5 1 83.5 19 15
133.0 108.0 3 9 83.0 16 29
132.5 107.5 10 6 82.5 21 16
132.0 107.0 1 82.0 19 12
131.5 106.5 14 7 81.5 23 24
131.0 2 106.0 1 1 81.0 6 10
130.5 105.5 12 3 80.5 26 25
130.0 3 105.0 10 1 80.0 14 9
129.5 104.5 7 2 79.5 26 29
129.0 2 104.0 15 2 79.0 17 16
128.5 103.5 78.5 15 23
128.0 103.0 11 7 78.0 36 35
127.5 1 102.5 5 2 77.5 15 16
127.0 102.0 16 10 77.0 17 25
126.5 4 101.5 17 4 76.5 21 16
126.0 101.0 8 3 76.0 16 26
125.5 100.5 16 11 75.5 19 17
American Mathematics Competitions
2005 AMC 10 B Results for New York
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 11 12 50.0 4 6 25.0
74.5 14 30 49.5 2 6 24.5
74.0 12 12 49.0 4 2 24.0 1 5
73.5 21 22 48.5 2 5 23.5
73.0 17 13 48.0 12 8 23.0
72.5 18 13 47.5 2 6 22.5
72.0 32 15 47.0 3 22.0
71.5 11 23 46.5 1 6 21.5
71.0 17 23 46.0 3 2 21.0
70.5 13 13 45.5 3 20.5
70.0 16 23 45.0 1 2 20.0
69.5 18 12 44.5 1 6 19.5
69.0 11 16 44.0 1 3 19.0
68.5 20 13 43.5 3 1 18.5
68.0 12 10 43.0 2 2 18.0
67.5 13 15 42.5 3 17.5
67.0 12 8 42.0 7 6 17.0 1
66.5 13 9 41.5 3 16.5
66.0 45 21 41.0 4 16.0
65.5 13 7 40.5 4 15.5
65.0 13 18 40.0 2 2 15.0
64.5 9 13 39.5 2 14.5
64.0 10 6 39.0 3 14.0
63.5 9 10 38.5 2 2 13.5
63.0 6 11 38.0 1 2 13.0
62.5 12 12 37.5 4 12.5
62.0 13 10 37.0 1 12.0 1
61.5 7 9 36.5 6 11.5
61.0 8 8 36.0 4 5 11.0
60.5 6 12 35.5 1 10.5
60.0 17 18 35.0 1 1 10.0
59.5 6 8 34.5 9.5
59.0 7 9 34.0 1 9.0
58.5 7 7 33.5 1 8.5
58.0 4 8 33.0 1 8.0
57.5 7 8 32.5 4 7.5
57.0 8 3 32.0 1 2 7.0
56.5 8 13 31.5 1 6.5
56.0 4 10 31.0 6.0
55.5 10 9 30.5 5.5
55.0 7 8 30.0 5 4 5.0
54.5 7 4 29.5 1 4.5
54.0 21 11 29.0 4.0
53.5 2 5 28.5 3.5
53.0 8 7 28.0 1 3.0
52.5 3 4 27.5 2.5
52.0 4 1 27.0 1 2.0
51.5 6 3 26.5 1 1 1.5
51.0 2 11 26.0 1 1.0
50.5 4 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for New York
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
144.0 1
138.0 1
134.5 1
131.0 1 1
130.0 3
129.0 1 1
127.5 1
126.5 1 3
124.0 1 1 3
123.0 5 2
122.0 2
121.5 1
120.5 1 1
119.5 2 4
118.5 1 2 1 1
118.0 1 2
117.0 4 5
116.0 6 7
115.5 1
115.0 1 1
114.5 1 2
113.5 7 9
113.0 2
112.5 1 3 10
112.0 1 1
111.5 2 4
111.0 1 4 3
110.0 1 12 11 1
109.5 1
109.0 6 16
108.5 1
108.0 1 1 10
107.5 5 13 1
107.0 1
106.5 7 13 1
106.0 2
105.5 8 7
105.0 3 8
104.5 1 2 7 1
104.0 1 10 6 2
103.0 8 10
102.5 2 6
102.0 3 10 13
101.5 3 3 15
101.0 2 9
100.5 2 8 18 1
100.0 1 1 2
99.5 1 11 23
99.0 3 7
98.5 1 12 20 1
98.0 1 15 15
97.5 1 5
97.0 1 10 16 1
96.5 1 6 5
96.0 1 15 22
95.5 1 8 8
95.0 15 35 1
94.5 1 8 18
94.0 3 8
93.5 18 31
93.0 1 7 9
92.5 1 15 42
92.0 1 2 18 24
91.5 12 18 1
91.0 1 17 24
90.5 1 5 9
90.0 1 23 34 3
89.5 6 10 1
89.0 3 18 28 1
88.5 1 2 8 16
88.0 11 16 1
87.5 1 1 17 25 1
87.0 1 1 15 5
86.5 1 2 27 42 1
86.0 3 13 20
85.5 1 21 16 1
85.0 1 2 9 26
84.5 3 15 18 1
84.0 36 32 1
83.5 3 18 13
83.0 1 2 28 18 1
82.5 2 22 14
82.0 15 16 1
81.5 1 19 31 1
81.0 10 5 1
80.5 1 19 31 3
80.0 1 14 12 1
79.5 1 24 34 3
79.0 1 13 20
78.5 1 2 16 21 1
78.0 32 43 2
77.5 15 17
77.0 1 23 19
76.5 2 1 14 19 1
76.0 1 1 21 20 1
75.5 1 15 22
75.0 10 14
74.5 1 24 22
74.0 1 2 9 15
73.5 1 2 22 21 1
73.0 16 17
72.5 20 13 1
72.0 1 17 31 4
71.5 17 18
71.0 1 1 20 20 1
70.5 1 9 16
70.0 1 2 20 17 2
69.5 10 21
69.0 1 14 13
68.5 1 18 14
68.0 2 9 11 1
67.5 2 15 12
67.0 1 11 9
66.5 1 12 9
66.0 2 23 43 1
65.5 1 11 8
65.0 2 15 14 1
64.5 2 11 10 1
64.0 1 1 9 5
63.5 1 1 1 5 13 1
63.0 1 7 9 2
62.5 2 12 12 4
62.0 1 1 12 11
61.5 2 6 9 1
61.0 1 7 8 2
60.5 1 6 11
60.0 2 10 24 2
59.5 5 9
59.0 8 11
58.5 7 7 1
58.0 2 5 5
57.5 1 1 7 6 2
57.0 1 1 1 9
56.5 1 6 14
56.0 1 9 4
55.5 2 7 10
55.0 1 1 8 5
54.5 6 5 1
54.0 2 2 12 18 1
53.5 4 3
53.0 1 6 8
52.5 2 4 2
52.0 4 1
51.5 1 5 3
51.0 1 1 6 6
50.5 5 4
50.0 1 1 4 5
49.5 1 5 2
49.0 4 2
48.5 1 3 3
48.0 1 11 9 2
47.5 4 4
47.0 3
46.5 3 4
46.0 4 2
45.5 1 1 1
45.0 1 2
44.5 1 3 3
44.0 5
43.5 2 3
43.0 1 2 1
42.5 1 1 1
42.0 5 9 1
41.5 2 1
41.0 4
40.5 1 2 1
40.0 4
39.5 2
39.0 2 2
38.5 3 3
38.0 3
37.5 3 1
37.0 1
36.5 1 5
36.0 1 4 5 1
35.5 1
35.0 2
34.0 1
33.5 1
33.0 1
32.5 1 5
32.0 3
31.5 1
30.5 1
30.0 1 1 2 6
29.5 1
28.0 1
27.0 1
26.5 1 1
26.0 1
24.0 1 6 2
21.0 1
17.0 1
12.0 1
American Mathematics Competitions
2005 AMC 10 B Results for New York
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 8.85* 0.20 0.35 0.12 0.36 0.11 0.00
2 0.13 0.18 0.08 8.97* 0.17 0.47 0.00
3 0.04 0.87 1.58 6.06* 0.94 0.51 0.00
4 0.91 0.09 0.54 5.67* 0.30 2.49 0.00
5 0.18 0.10 8.59* 0.16 0.34 0.63 0.00
6 0.12 8.25* 0.25 0.28 0.32 0.78 0.00
7 0.94 1.73* 0.47 1.13 0.65 5.08 0.01
8 6.40* 0.14 0.98 0.06 0.09 2.34 0.00
9 0.54 0.70 1.57 5.12* 0.52 1.56 0.00
10 1.40* 0.85 0.65 0.34 0.33 6.43 0.00
11 0.25 0.58 0.28 1.98 1.89* 5.01 0.00
12 0.53 1.29 0.55 0.39 0.37* 6.87 0.00
13 0.50 0.49 1.89* 1.91 0.35 4.86 0.00
14 0.43 0.26 2.14* 2.06 0.55 4.56 0.00
15 1.36 0.44 1.00 3.36* 0.51 3.31 0.01
16 0.39 0.70 0.80 0.52* 0.15 7.44 0.00
17 0.47 3.00* 1.06 0.38 0.21 4.88 0.00
18 0.47 4.35 0.97 2.20* 0.45 1.57 0.00
19 0.56 5.83* 0.47 0.44 0.41 2.30 0.00
20 0.81 0.39 0.85* 0.33 0.28 7.32 0.00
21 0.30* 0.31 0.36 0.37 0.18 8.48 0.00
22 0.64 1.05 0.37* 0.29 0.30 7.35 0.00
23 2.31 0.54 0.46* 0.35 0.20 6.13 0.00
24 0.32 0.31 0.28 0.38 0.90* 7.81 0.00
25 0.30 0.36 3.36* 0.28 0.24 5.46 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 New York
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 34 13
149.0 124.0 6 99.0 1
148.5 123.5 98.5 57 25
148.0 123.0 5 98.0 11 3
147.5 122.5 1 97.5 16 7
147.0 122.0 3 1 97.0 22 11
146.5 121.5 96.5
146.0 121.0 96.0 66 22
145.5 120.5 3 1 95.5 5 4
145.0 120.0 95.0 107 54
144.5 119.5 1 94.5 14 6
144.0 119.0 94.0 13 11
143.5 118.5 9 2 93.5 33 13
143.0 118.0 4 93.0 3 1
142.5 117.5 92.5 56 36
142.0 117.0 5 92.0 14 8
141.5 116.5 91.5 32 34
141.0 116.0 2 91.0 28 13
140.5 115.5 1 1 90.5 11 13
140.0 115.0 8 4 90.0 55 35
139.5 1 114.5 6 89.5 7 2
139.0 114.0 1 89.0 89 67
138.5 113.5 3 1 88.5 16 9
138.0 1 113.0 88.0 25 24
137.5 112.5 9 5 87.5 26 15
137.0 112.0 1 87.0 12 17
136.5 111.5 11 3 86.5 58 40
136.0 1 111.0 4 1 86.0 4 2
135.5 110.5 85.5 30 42
135.0 110.0 9 3 85.0 30 8
134.5 1 109.5 84.5 25 29
134.0 109.0 13 7 84.0 51 33
133.5 2 108.5 1 1 83.5 12 13
133.0 108.0 19 11 83.0 102 64
132.5 4 107.5 9 2 82.5 9 10
132.0 107.0 1 1 82.0 35 36
131.5 106.5 18 4 81.5 25 32
131.0 1 106.0 5 81.0 23 15
130.5 105.5 17 10 80.5 51 29
130.0 3 105.0 1 80.0 13 10
129.5 104.5 27 11 79.5 28 33
129.0 2 104.0 13 4 79.0 20 15
128.5 1 103.5 78.5 22 22
128.0 103.0 19 9 78.0 34 20
127.5 2 102.5 77.5 17 22
127.0 102.0 48 17 77.0 52 43
126.5 3 101.5 2 2 76.5 10 13
126.0 1 101.0 53 18 76.0 21 34
125.5 5 100.5 18 4 75.5 20 17
American Mathematics Competitions
2005 AMC 12 B Results for New York
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 12 17 50.0 25.0
74.5 50 34 49.5 3 1 24.5
74.0 20 11 49.0 3 2 24.0 2 5
73.5 20 36 48.5 1 1 23.5
73.0 19 10 48.0 12 13 23.0
72.5 13 15 47.5 2 22.5
72.0 32 35 47.0 1 1 22.0
71.5 10 6 46.5 2 21.5
71.0 39 24 46.0 2 2 21.0
70.5 12 10 45.5 1 1 20.5 1
70.0 15 15 45.0 1 1 20.0
69.5 17 14 44.5 2 2 19.5
69.0 11 14 44.0 2 19.0
68.5 17 25 43.5 1 18.5
68.0 5 9 43.0 1 18.0 1
67.5 17 7 42.5 1 17.5
67.0 13 10 42.0 9 9 17.0
66.5 9 8 41.5 16.5
66.0 18 27 41.0 2 16.0
65.5 3 8 40.5 15.5
65.0 11 20 40.0 15.0
64.5 8 4 39.5 14.5
64.0 5 7 39.0 1 14.0
63.5 8 7 38.5 13.5
63.0 5 11 38.0 13.0
62.5 17 12 37.5 12.5
62.0 5 5 37.0 12.0 1
61.5 6 8 36.5 11.5
61.0 8 6 36.0 6 11 11.0
60.5 4 4 35.5 10.5
60.0 12 20 35.0 1 1 10.0
59.5 6 3 34.5 1 9.5
59.0 9 34.0 9.0
58.5 2 8 33.5 8.5
58.0 4 6 33.0 1 8.0
57.5 1 7 32.5 7.5
57.0 2 4 32.0 7.0
56.5 10 5 31.5 6.5
56.0 4 3 31.0 6.0
55.5 3 5 30.5 1 5.5
55.0 1 1 30.0 2 1 5.0
54.5 2 3 29.5 1 4.5
54.0 6 17 29.0 1 4.0
53.5 1 28.5 3.5
53.0 2 5 28.0 1 3.0
52.5 2 5 27.5 2.5
52.0 5 27.0 2.0
51.5 3 26.5 1.5
51.0 3 2 26.0 1.0
50.5 4 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for New York
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
139.5 1
138.0 1
136.0 1 1
134.5 1
133.5 1 1
132.5 1 1 2
131.0 1
130.0 2 1
129.0 2
128.5 1
127.5 1 1
126.5 1 2
126.0 1
125.5 5 1
124.0 1 3 2
123.0 4 1
122.5 1
122.0 2 2
120.5 2 2
119.5 1
118.5 1 1 5 4
118.0 1 3
117.0 1 1 3
116.0 1 1
115.5 1 1
115.0 1 7 5
114.5 2 2 2
114.0 1
113.5 4
112.5 3 11 1
112.0 1
111.5 2 6 6
111.0 1 3 1
110.0 3 3 7
109.0 8 13
108.5 1 1
108.0 3 1 18 9
107.5 1 5 5 1
107.0 1 1
106.5 1 9 12
106.0 2 3
105.5 1 3 12 14 2
105.0 1
104.5 1 1 5 12 19 2
104.0 1 9 7
103.0 2 16 11
102.0 1 8 39 21
101.5 1 3
101.0 4 39 29
100.5 2 15 5
100.0 1
99.5 4 3 16 25
99.0 1
98.5 2 9 42 33 1
98.0 11 4
97.5 3 11 9
97.0 2 16 16
96.0 1 10 43 36
95.5 3 6
95.0 6 12 86 66 1
94.5 1 3 11 5
94.0 2 12 11
93.5 2 1 25 21
93.0 2 2
92.5 1 5 51 37 3
92.0 2 11 8 1
91.5 4 4 46 14
91.0 2 24 16
90.5 2 13 9
90.0 1 4 47 38 2
89.5 7 3
89.0 7 17 73 59 3
88.5 1 16 11
88.0 1 1 8 32 10
87.5 1 3 21 18
87.0 3 2 17 8
86.5 4 5 52 41 2
86.0 4 2
85.5 2 11 39 23
85.0 3 19 17 1
84.5 5 3 29 20
84.0 3 8 40 37 1
83.5 1 4 13 8
83.0 4 16 82 68 2
82.5 3 12 5
82.0 2 4 44 21 1
81.5 1 2 35 20
81.0 1 1 19 16 1
80.5 8 54 23 1
80.0 1 2 15 6 1
79.5 3 38 18 2
79.0 1 20 13 1
78.5 2 4 22 17 1
78.0 2 2 33 20
77.5 1 5 20 14
77.0 3 7 49 40 1
76.5 2 11 10 1
76.0 2 4 36 15 1
75.5 6 24 10
75.0 8 18 7
74.5 9 45 33 2
74.0 1 2 23 5
73.5 1 8 35 13 1
73.0 1 1 15 12
72.5 4 16 9
72.0 9 40 21 1
71.5 1 9 6 1
71.0 2 6 39 16 3
70.5 2 15 7
70.0 3 19 10
69.5 1 1 15 14
69.0 2 17 8 1
68.5 1 4 21 15 1
68.0 1 1 7 5
67.5 2 12 11
67.0 12 12 2
66.5 1 1 7 8 1
66.0 2 3 22 20
65.5 1 1 7 2
65.0 3 18 10 1
64.5 1 9 2
64.0 6 6 1
63.5 2 9 4
63.0 1 2 8 5 1
62.5 1 2 18 9 1
62.0 1 4 5
61.5 2 11 1
61.0 1 10 2 1
60.5 1 5 3
60.0 2 17 13
59.5 1 1 4 4
59.0 1 2 2 4
58.5 8 3
58.0 6 4
57.5 1 6 2
57.0 6
56.5 1 10 4
56.0 2 2 3
55.5 1 5 2
55.0 2
54.5 3 2
54.0 3 17 6
53.5 1
53.0 6 1
52.5 1 5 1
52.0 4 1 1
51.5 3
51.0 1 2 2
50.5 1 3 3
49.5 1 1 2
49.0 1 4
48.5 2
48.0 1 2 13 9
47.5 2
47.0 1 1
46.5 1 1
46.0 2 2
45.5 1 1
45.0 2 1
44.5 2 2
44.0 1 1
43.5 1
43.0 1
42.5 1
42.0 2 12 7
41.0 1 1 1
39.0 1
36.0 3 11 3
35.0 2
34.5 1
33.0 1
30.5 1
30.0 1 3 1
29.5 1
29.0 1
28.0 1
24.0 2 4 1
20.5 1
18.0 1
12.0 1
American Mathematics Competitions
2005 AMC 12 B Results for New York
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 9.34* 0.17 0.23 0.09 0.12 0.05 0.00
2 0.07 0.07 0.06 9.49* 0.11 0.20 0.00
3 0.09 0.06 9.17* 0.17 0.18 0.33 0.00
4 0.10 9.04* 0.17 0.10 0.15 0.43 0.00
5 8.07* 0.11 0.58 0.04 0.04 1.15 0.00
6 2.98* 0.84 0.56 0.37 0.30 4.94 0.00
7 0.82 1.47 0.27 2.50* 0.45 4.50 0.00
8 1.48 1.53 4.34* 0.07 0.83 1.75 0.00
9 0.43 8.04* 0.25 0.29 0.22 0.76 0.00
10 0.16 0.59 0.17 2.01 3.63* 3.45 0.00
11 1.10 1.29 0.84 3.58* 0.33 2.86 0.00
12 0.31 0.62 0.83 1.21* 0.09 6.95 0.00
13 0.40 0.33 0.24 1.85* 0.20 6.97 0.00
14 0.85 0.95 0.71 0.43 1.01* 6.06 0.00
15 0.55 0.30 0.35 4.88* 0.49 3.43 0.00
16 0.24 0.23 0.69 0.55* 0.23 8.07 0.00
17 0.38 0.58* 0.23 0.16 0.57 8.07 0.00
18 1.28 0.52 0.50* 0.32 0.27 7.11 0.00
19 0.23 0.23 0.22 0.27 1.97* 7.07 0.00
20 0.11 0.29 4.08* 0.63 1.76 3.13 0.00
21 0.22 0.25 0.47* 0.33 0.21 8.53 0.00
22 0.33 0.61 0.19 0.13 0.10* 8.63 0.00
23 0.14 0.26* 0.17 0.16 0.07 9.20 0.00
24 0.31* 0.26 0.29 0.23 0.18 8.73 0.00
25 0.24* 0.27 0.18 0.25 0.26 8.81 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
