American Mathematics Competitions
2006 AMC 10 A Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4631
Number of unofficial participants: 0
Average score of participants: 79.4
Average score for female students is: 74.6 ( 1964 Students)
Average score for male students is: 83.5 ( 2127 Students)
Average score for unspecified gender is 81.0 ( 540 Students)
Average score for grade 10 is: 81.0 ( 2219 Students)
Average score for grade 9 is: 75.5 ( 1799 Students)
Average score for grade 8 and below is: 89.4 ( 280 Students)
Average score with unknown grade: 81.9 ( 333 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 132
Number of schools returning results 132
Average school winning score 112.44
American Mathematics Competitions
2006 AMC 12 A Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4857
Number of unofficial participants: 9
Average score of participants: 89.4
Average score for female students is: 85.4 ( 1933 Students)
Average score for male students is: 92.0 ( 2568 Students)
Average score for unspecified gender is 91.8 ( 356 Students)
Average score for grade 13 is: 99.5 ( 2 Students)
Average score for grade 12 is: 90.2 ( 1988 Students)
Average score for grade 11 is: 87.7 ( 2200 Students)
Average score for grade 10 is: 92.0 ( 377 Students)
Average score for grade 9 is: 90.4 ( 85 Students)
Average score for grade 8 and below is: 94.7 ( 7 Students)
Average score with unknown grade: 93.0 ( 198 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 1484
Number of schools returning results 150
Average school winning score 114.46
Average school team score 317.15
American Mathematics Competitions
2006 AMC 10 B Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3577
Number of unofficial participants: 0
Average score of participants: 71.1
Average score for female students is: 66.9 ( 1691 Students)
Average score for male students is: 75.8 ( 1640 Students)
Average score for unspecified gender is 69.0 ( 246 Students)
Average score for grade 10 is: 73.8 ( 1874 Students)
Average score for grade 9 is: 66.6 ( 1433 Students)
Average score for grade 8 and below is: 82.5 ( 161 Students)
Average score with unknown grade: 67.8 ( 109 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 83
Number of schools returning results 128
Average school winning score 108.80
American Mathematics Competitions
2006 AMC 12 B Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 5481
Number of unofficial participants: 0
Average score of participants: 87.4
Average score for female students is: 83.3 ( 2256 Students)
Average score for male students is: 90.5 ( 2894 Students)
Average score for unspecified gender is 87.4 ( 331 Students)
Average score for grade 13 is: 54.0 ( 1 Student)
Average score for grade 12 is: 89.5 ( 1914 Students)
Average score for grade 11 is: 86.5 ( 2461 Students)
Average score for grade 10 is: 87.7 ( 575 Students)
Average score for grade 9 is: 80.2 ( 312 Students)
Average score for grade 8 and below is: 94.2 ( 52 Students)
Average score with unknown grade: 86.2 ( 166 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 1336
Number of schools returning results 169
Average school winning score 115.81
Average school team score 321.26
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
418.5 1 1
413.5 1 2
409.0 1 3
404.0 1 4
402.0 1 5
398.0 2 6
397.5 1 8
397.0 1 9
396.0 2 10
395.0 1 12
390.5 1 1 13
388.0 1 15
387.0 1 1 16
381.0 1 18
378.5 1 1 19
377.5 1 21
376.0 2 22
375.5 2 24
375.0 1 26
372.5 1 27
371.5 4 28
370.0 2 32
369.5 2 34
369.0 1 36
368.0 1 2 37
366.5 1 40
365.5 1 1 41
365.0 2 43
364.0 1 45
363.0 1 1 46
362.5 1 48
362.0 2 49
361.0 4 51
359.5 1 55
359.0 1 56
358.5 1 57
357.5 1 3 58
356.5 3 2 62
356.0 1 67
355.5 4 1 68
355.0 2 73
354.5 1 75
354.0 3 76
353.0 2 2 79
352.5 1 1 83
352.0 2 85
351.5 1 1 87
350.5 4 1 89
349.5 1 94
349.0 3 95
348.0 1 98
347.0 1 99
346.5 1 100
346.0 4 1 101
345.5 1 106
345.0 1 1 107
344.5 2 109
344.0 1 111
343.5 2 112
343.0 1 114
342.5 1 2 115
342.0 1 118
341.5 2 119
341.0 2 1 121
340.5 2 124
340.0 1 1 126
339.5 1 128
339.0 1 1 129
338.5 2 131
338.0 1 133
337.5 4 3 134
336.5 1 1 141
335.5 3 143
335.0 4 146
334.0 1 3 150
333.5 1 154
333.0 1 155
332.0 1 156
331.5 2 157
330.5 3 1 159
330.0 2 1 163
329.5 2 166
328.5 1 3 168
328.0 1 172
327.0 1 1 173
326.0 2 2 175
325.0 1 179
324.5 2 1 180
324.0 1 183
323.0 3 184
322.0 1 187
321.5 1 188
321.0 2 189
320.5 3 1 191
320.0 2 1 195
319.5 3 198
319.0 1 201
318.0 1 1 202
317.5 1 1 204
316.5 1 206
315.5 4 207
314.5 1 211
314.0 1 1 212
313.5 1 1 214
313.0 1 2 216
312.5 2 1 219
312.0 1 222
310.5 1 223
310.0 2 224
309.5 1 226
309.0 1 227
308.5 1 1 228
307.0 1 230
306.0 1 231
305.5 1 232
305.0 1 3 233
304.5 3 237
304.0 1 1 240
302.5 2 242
301.5 2 244
299.5 1 246
298.0 2 247
297.5 1 249
297.0 1 250
296.5 1 251
296.0 1 252
295.5 1 253
294.0 2 254
293.5 1 1 256
292.0 1 258
291.0 1 259
290.5 1 260
290.0 1 261
289.5 1 262
289.0 1 263
288.0 2 264
287.0 1 266
286.5 1 267
286.0 1 268
285.5 1 1 269
285.0 1 271
284.5 1 272
284.0 1 273
281.5 1 274
281.0 1 275
280.0 1 276
277.5 1 277
276.0 1 278
273.5 1 279
273.0 2 280
272.5 2 282
272.0 1 284
270.0 1 285
269.5 2 286
265.0 1 288
262.0 1 289
261.5 1 290
257.5 2 291
251.5 1 293
250.5 1 294
248.5 1 295
246.0 1 296
245.5 1 297
233.5 1 298
228.5 1 299
224.0 1 300
222.5 1 301
219.0 1 302
209.5 1 303
189.0 2 304
173.0 1 306
136.5 1 307
133.5 1 308
132.5 1 309
131.0 1 310
129.0 1 1 311
108.0 1 313
103.0 2 314
98.5 2 316
88.5 1 318
74.0 1 319
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 7 2
146.5 1 3
144.0 1 4 4
143.0 1 1
140.5 1 2 1
139.5 4 2 4
138.0 3 6 2
137.0 5 1
136.0 7 9 1 1
134.5 1 1 1
133.5 4 6 4 2
132.5 3 4 2 2
132.0 2 6 4
131.0 1 1 4 4
130.0 2 13 6 4
129.0 7 12 4 2
128.5 1 5 2
127.5 2 1 9 2
126.5 4 9 9 6
126.0 1 3 3
125.5 14 15 2 1
125.0 1 4
124.0 4 17 9 5
123.0 15 19 10 6
122.5 1 3
122.0 11 19 6 4
121.5 1 5 9 4
120.5 4 11 7 11
120.0 3 1
119.5 26 30 9 6
119.0 6 4
118.5 78 33 2 1
118.0 1 8 10 3
117.0 11 18 13 10
116.5 1
116.0 52 30 16 10
115.5 2 2 7 5
115.0 57 39 2
114.5 6 11 11 6
114.0 2 4 1
113.5 25 16 19 12
113.0 5
112.5 133 39 11 8
112.0 1 19 4
111.5 39 56 2 2
111.0 12 13 21 10
110.5 3
110.0 69 22 40 16
109.5 2 4 2
109.0 88 79 8 6
108.5 6 4 27 8
108.0 49 107 8 4
107.5 32 18 27 16
107.0 5
106.5 142 32 16 13
106.0 3 13 8
105.5 80 88 17 13
105.0 14 8 19 12
104.5 25 96 6 3
104.0 57 15 27 19
103.5 1 1 10 7
103.0 108 52 24 16
102.5 3 1 18 6
102.0 83 159 18 13
101.5 38 9 29 17
101.0 40 163 8 2
100.5 111 31 27 21
100.0 3 1 10 3
99.5 76 86 24 18
99.0 18 8 24 10
98.5 47 144 30 13
98.0 64 16 36 32
97.5 8 32 12 3
97.0 114 44 36 25
96.5 4 2 36 9
96.0 82 115 40 23
95.5 32 8 38 13
95.0 71 208 25 9
94.5 78 25 41 23
94.0 3 25 12 6
93.5 89 81 35 20
93.0 20 3 24 14
92.5 65 125 55 26
92.0 58 12 48 29
91.5 16 80 26 10
91.0 78 41 36 20
90.5 13 26 33 10
90.0 96 124 50 30
89.5 27 9 29 12
89.0 86 214 41 20
88.5 80 21 43 27
88.0 11 56 33 10
87.5 74 65 56 32
87.0 24 23 30 5
86.5 75 109 64 34
86.0 46 17 60 28
85.5 18 73 40 24
85.0 82 32 58 27
84.5 18 45 34 5
84.0 79 101 67 37
83.5 35 21 44 10
83.0 78 164 49 32
82.5 46 23 50 29
82.0 22 61 45 19
81.5 51 56 51 33
81.0 16 32 35 20
80.5 76 82 42 32
80.0 36 23 56 17
79.5 17 59 42 30
79.0 38 29 42 33
78.5 22 56 48 14
78.0 66 68 75 46
77.5 30 26 42 21
77.0 52 83 50 40
76.5 32 18 35 26
76.0 17 47 63 38
75.5 44 34 44 32
75.0 22 30 46 28
74.5 56 54 59 45
74.0 35 26 44 17
73.5 22 62 40 29
73.0 31 24 39 23
72.5 22 37 41 24
72.0 46 57 66 51
71.5 22 28 34 12
71.0 36 55 52 32
70.5 23 37 44 32
70.0 22 40 37 34
69.5 22 35 44 34
69.0 22 25 30 27
68.5 38 25 49 45
68.0 18 20 37 35
67.5 16 33 54 35
67.0 22 15 35 39
66.5 19 32 34 34
66.0 33 41 67 37
65.5 12 19 40 21
65.0 28 36 28 43
64.5 23 11 35 26
64.0 15 25 30 32
63.5 30 20 25 27
63.0 23 13 33 26
62.5 19 27 36 48
62.0 14 14 34 28
61.5 10 15 27 31
61.0 19 15 34 24
60.5 10 18 32 17
60.0 34 33 40 45
59.5 11 13 22 24
59.0 14 20 31 37
58.5 15 13 29 22
58.0 9 17 29 30
57.5 13 11 21 25
57.0 7 6 24 24
56.5 13 19 20 37
56.0 9 12 27 20
55.5 8 10 22 49
55.0 3 7 16 28
54.5 8 14 14 21
54.0 22 24 48 43
53.5 2 6 14 28
53.0 10 10 10 43
52.5 6 9 23 26
52.0 4 12 8 24
51.5 5 5 3 28
51.0 4 11 14 15
50.5 11 7 17 24
50.0 4 6 13 32
49.5 4 3 13 24
49.0 4 6 11 22
48.5 7 10 16 13
48.0 23 21 33 34
47.5 3 6 18 14
47.0 4 4 8 33
46.5 1 9 6 15
46.0 2 4 5 19
45.5 3 4 2 18
45.0 3 4 8 11
44.5 3 1 10 17
44.0 3 5 16
43.5 2 3 4 12
43.0 2 3 2 14
42.5 1 3 3 9
42.0 13 10 33 25
41.5 5 2 11
41.0 2 5 10
40.5 2 7 11
40.0 2 9 9
39.5 2 3 9
39.0 2 1 5
38.5 2 3 9
38.0 1 3 10
37.5 1 2 6 8
37.0 1 1 2 6
36.5 1 7 8
36.0 3 7 21 16
35.5 1 3 8
35.0 1 1 3 6
34.5 2 6
34.0 2 1 3 7
33.5 1 12
33.0 2 7
32.5 1 2
32.0 2 4
31.5 1 2
31.0 1 6
30.5 4 5
30.0 1 4 7 12
29.5 9
29.0 1 2 2
28.5 1
28.0 1 2 6
27.5 2
27.0 1 1 2
26.5 1 3 3
26.0 1 1
25.5 1 3
24.5 2
24.0 2 3 10 11
23.5 2
23.0 3
22.5 4
22.0 1
21.0 1 3
20.5 4
20.0 1
19.5 1 2
18.5 3 1
18.0 1 3 2 13
17.0 1 1
16.0 1 3
15.0 1
14.5 1 1
12.0 1 1
10.0 1
8.5 1
6.0 1 2
American Mathematics Competitions
2006 AMC 10 A Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 3 3 125.0 2 100.0 6 2
149.5 124.5 99.5 11 10
149.0 124.0 6 2 99.0 15 4
148.5 123.5 98.5 15 11
148.0 123.0 8 2 98.0 22 11
147.5 122.5 3 97.5 5 4
147.0 122.0 5 97.0 17 12
146.5 121.5 8 1 96.5 17 12
146.0 121.0 96.0 21 16
145.5 120.5 6 95.5 20 11
145.0 120.0 3 95.0 13 7
144.5 119.5 7 2 94.5 19 13
144.0 3 1 119.0 5 94.0 7 2
143.5 118.5 2 93.5 17 11
143.0 118.0 5 4 93.0 16 5
142.5 117.5 92.5 24 24
142.0 117.0 9 1 92.0 28 17
141.5 116.5 1 91.5 10 11
141.0 116.0 13 1 91.0 20 15
140.5 2 115.5 7 90.5 21 10
140.0 115.0 1 90.0 22 24
139.5 114.5 7 2 89.5 20 7
139.0 114.0 2 2 89.0 22 15
138.5 113.5 14 3 88.5 20 16
138.0 6 113.0 3 1 88.0 15 12
137.5 112.5 6 3 87.5 27 21
137.0 4 112.0 13 5 87.0 20 8
136.5 111.5 1 1 86.5 36 23
136.0 1 111.0 15 5 86.0 32 19
135.5 110.5 3 85.5 20 16
135.0 110.0 27 12 85.0 29 17
134.5 1 109.5 4 84.5 13 19
134.0 109.0 7 84.0 33 28
133.5 3 108.5 17 5 83.5 26 13
133.0 108.0 4 4 83.0 20 22
132.5 2 107.5 14 7 82.5 18 20
132.0 5 1 107.0 2 1 82.0 19 16
131.5 106.5 9 5 81.5 22 22
131.0 4 106.0 9 1 81.0 16 14
130.5 105.5 8 7 80.5 22 17
130.0 3 3 105.0 14 5 80.0 28 22
129.5 104.5 4 1 79.5 9 28
129.0 4 104.0 18 8 79.0 18 19
128.5 3 2 103.5 7 1 78.5 17 25
128.0 103.0 12 8 78.0 33 31
127.5 6 3 102.5 15 1 77.5 18 18
127.0 102.0 8 5 77.0 13 34
126.5 5 2 101.5 21 6 76.5 21 11
126.0 2 101.0 3 3 76.0 22 37
125.5 2 100.5 13 12 75.5 19 18
American Mathematics Competitions
2006 AMC 10 A Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 19 24 50.0 2 7 25.0
74.5 24 28 49.5 6 6 24.5
74.0 21 16 49.0 7 3 24.0 5 5
73.5 17 17 48.5 4 9 23.5
73.0 12 22 48.0 14 15 23.0
72.5 13 20 47.5 9 7 22.5
72.0 25 33 47.0 3 4 22.0
71.5 12 17 46.5 1 5 21.5
71.0 17 27 46.0 4 21.0
70.5 19 24 45.5 1 20.5
70.0 11 25 45.0 1 7 20.0
69.5 14 23 44.5 4 6 19.5 1
69.0 11 16 44.0 3 1 19.0
68.5 17 28 43.5 1 3 18.5
68.0 13 21 43.0 2 18.0 1 1
67.5 23 25 42.5 2 17.5
67.0 11 21 42.0 16 14 17.0
66.5 14 18 41.5 2 16.5
66.0 27 28 41.0 2 3 16.0 1
65.5 18 20 40.5 3 3 15.5
65.0 9 16 40.0 3 6 15.0
64.5 15 15 39.5 1 2 14.5
64.0 6 23 39.0 14.0
63.5 1 19 38.5 2 13.5
63.0 21 11 38.0 1 2 13.0
62.5 12 22 37.5 4 2 12.5
62.0 15 16 37.0 2 12.0
61.5 5 19 36.5 3 4 11.5
61.0 7 20 36.0 10 7 11.0
60.5 12 18 35.5 3 10.5
60.0 12 25 35.0 2 1 10.0
59.5 6 12 34.5 1 1 9.5
59.0 11 17 34.0 1 2 9.0
58.5 11 14 33.5 8.5
58.0 13 15 33.0 2 8.0
57.5 7 11 32.5 1 7.5
57.0 12 10 32.0 2 7.0
56.5 8 11 31.5 1 6.5
56.0 9 15 31.0 6.0 1
55.5 9 10 30.5 4 5.5
55.0 7 9 30.0 5 2 5.0
54.5 6 8 29.5 4.5
54.0 23 19 29.0 4.0
53.5 3 11 28.5 3.5
53.0 4 5 28.0 1 1 3.0
52.5 7 16 27.5 2.5
52.0 5 3 27.0 2.0
51.5 3 26.5 1 2 1.5
51.0 3 10 26.0 1.0
50.5 7 7 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for California
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 2 5
144.0 1 1 1 1
143.0 1
140.5 2
138.0 1 2 3
137.0 1 2 2
136.0 1
134.5 1
133.5 1 3
132.5 2
132.0 2 1 3
131.0 2 1 1
130.0 1 1 4
129.0 1 1 1 1
128.5 3 2
127.5 1 2 5 1
126.5 2 5 2
126.0 2 1
125.5 1 1
125.0 2 2
124.0 1 6 2
123.0 1 3 6
122.5 1 1 1
122.0 1 1 4
121.5 2 2 5
120.5 1 2 3 1
120.0 2 1
119.5 1 4 4
119.0 1 4 1
118.5 1 1
118.0 4 3 3
117.0 1 7 5
116.5 1
116.0 1 2 4 8 1
115.5 1 1 3 2
115.0 1 1
114.5 2 9
114.0 1 3
113.5 1 7 11
113.0 1 4
112.5 3 5 3
112.0 1 2 2 13 1
111.5 1 1
111.0 1 1 7 11 1
110.5 1 1 1
110.0 3 2 13 22
109.5 1 1 2
109.0 3 5
108.5 1 1 10 13 2
108.0 1 2 5
107.5 1 2 7 13 4
107.0 2 1 2
106.5 1 5 8 2
106.0 3 2 6 2
105.5 1 4 12
105.0 1 4 4 10
104.5 1 4 1
104.0 1 8 17 1
103.5 1 2 6 1
103.0 1 5 4 11 3
102.5 1 1 1 6 8 1
102.0 1 1 8 5 3
101.5 1 1 10 15 2
101.0 4 4
100.5 2 5 18 2
100.0 3 5 2
99.5 2 7 12 3
99.0 1 3 4 14 2
98.5 1 7 20 2
98.0 1 3 11 20 1
97.5 1 5 5 1
97.0 2 12 16 6
96.5 1 3 8 22 2
96.0 1 18 18 3
95.5 1 6 25 6
95.0 1 11 10 3
94.5 1 15 22 3
94.0 1 4 5 2
93.5 1 2 13 15 4
93.0 1 1 8 12 2
92.5 3 2 12 33 5
92.0 1 2 15 26 4
91.5 1 3 8 10 4
91.0 1 13 22
90.5 1 10 20 2
90.0 3 1 18 26 2
89.5 1 13 13 2
89.0 1 12 24 4
88.5 3 11 23 6
88.0 1 1 14 14 3
87.5 1 2 21 27 5
87.0 1 1 9 18 1
86.5 2 3 24 31 4
86.0 4 20 29 7
85.5 1 1 2 13 21 2
85.0 1 1 19 32 5
84.5 1 3 12 18
84.0 2 2 28 29 6
83.5 1 2 10 28 3
83.0 1 1 20 21 6
82.5 1 1 13 27 8
82.0 1 4 19 14 7
81.5 2 1 1 23 20 4
81.0 1 1 14 16 3
80.5 2 11 27 2
80.0 1 3 18 28 6
79.5 19 20 3
79.0 1 15 23 3
78.5 1 1 24 20 2
78.0 3 1 33 29 9
77.5 15 22 5
77.0 24 22 4
76.5 2 16 16 1
76.0 2 1 25 33 2
75.5 18 22 4
75.0 1 22 22 1
74.5 1 23 28 7
74.0 1 14 26 3
73.5 17 19 4
73.0 1 15 21 2
72.5 2 19 15 5
72.0 4 26 32 4
71.5 1 1 14 15 3
71.0 1 24 23 4
70.5 2 1 23 17 1
70.0 19 17 1
69.5 1 2 19 19 3
69.0 1 1 5 18 5
68.5 2 24 20 3
68.0 2 14 21
67.5 1 28 21 4
67.0 1 15 18 1
66.5 1 10 23
66.0 2 31 24 10
65.5 2 18 18 2
65.0 11 15 2
64.5 18 11 6
64.0 16 14
63.5 11 14
63.0 1 1 15 15 1
62.5 1 15 18 2
62.0 2 12 18 2
61.5 1 9 16 1
61.0 1 15 15 3
60.5 2 10 19 1
60.0 2 1 20 16 1
59.5 12 8 2
59.0 2 11 15 3
58.5 1 12 13 3
58.0 1 2 12 14
57.5 1 12 8
57.0 1 2 16 4 1
56.5 15 4 1
56.0 16 10 1
55.5 1 1 10 8 2
55.0 4 8 4
54.5 6 8
54.0 2 3 18 21 4
53.5 1 6 6 1
53.0 4 5 1
52.5 1 14 8
52.0 5 3
51.5 2 1
51.0 4 10
50.5 12 4 1
50.0 1 6 5 1
49.5 1 10 2
49.0 7 4
48.5 10 6
48.0 1 19 11 2
47.5 12 6
47.0 4 4
46.5 1 4 1
46.0 2 3
45.5 2
45.0 4 4
44.5 1 4 5
44.0 2 2 1
43.5 2 2
43.0 2
42.5 3
42.0 19 12 2
41.5 1 1
41.0 2 3
40.5 1 3 3
40.0 5 3 1
39.5 1 1 1
38.5 2 1
38.0 1 2
37.5 4 2
37.0 1 1
36.5 3 4
36.0 8 10 3
35.5 1 2
35.0 1 2
34.5 1 1
34.0 2 1
33.0 2
32.5 1 1
32.0 2
31.5 1
30.5 4
30.0 3 3 1
29.0 1 1
28.0 1 1
26.5 2 1
25.5 1
24.0 5 5
19.5 1
18.0 2
16.0 1
6.0 1
American Mathematics Competitions
2006 AMC 10 A Results for California
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 9.90* 0.02 0.02 0.04 0.00 0.01 0.00
2 1.27 0.22 3.69* 0.15 1.52 3.14 0.00
3 0.07 8.54* 0.09 0.07 1.13 0.10 0.00
4 2.50 0.14 0.08 0.16 6.56* 0.55 0.00
5 0.28 1.04 1.11 6.95* 0.21 0.40 0.00
6 0.18 7.92* 0.43 0.13 0.09 1.25 0.00
7 7.12* 0.12 0.41 0.32 0.37 1.66 0.01
8 0.99 0.41 0.42 0.24 3.13* 4.82 0.00
9 1.50 1.46 5.69* 0.32 0.27 0.76 0.00
10 0.32 0.24 0.82 3.23 1.30* 4.07 0.01
11 1.55 1.30 1.86* 1.19 0.69 3.40 0.01
12 0.87 0.36 5.21* 0.95 0.38 2.21 0.01
13 0.33 1.10 0.32 5.00* 0.15 3.09 0.00
14 1.66 3.96* 0.36 0.94 0.65 2.43 0.00
15 0.89 0.46 0.46 1.60* 0.59 6.00 0.01
16 0.30 0.39 0.56 0.48* 0.82 7.43 0.00
17 2.21* 0.42 0.35 0.59 0.27 6.16 0.00
18 1.50 0.19 3.25* 0.45 0.25 4.36 0.00
19 0.46 1.62 1.10* 0.42 0.36 6.03 0.00
20 0.43 1.30 0.44 0.43 0.63* 6.76 0.00
21 0.83 0.69 0.50 0.66 1.09* 6.23 0.01
22 0.10 0.97 3.55* 3.11 0.75 1.51 0.00
23 0.52 2.16* 0.20 0.30 0.68 6.13 0.00
24 0.90 0.57* 0.37 0.31 0.40 7.44 0.00
25 1.90 0.71 0.64* 0.50 0.33 5.91 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 California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 1 100.0 2 1
149.5 124.5 99.5 46 28
149.0 124.0 4 99.0 9 8
148.5 123.5 98.5 22 23
148.0 123.0 10 3 98.0 39 17
147.5 122.5 97.5 4 4
147.0 122.0 10 97.0 65 42
146.5 1 121.5 1 96.5 4
146.0 121.0 96.0 41 35
145.5 120.5 4 95.5 19 7
145.0 120.0 95.0 35 30
144.5 119.5 20 5 94.5 47 26
144.0 1 119.0 94.0 2 1
143.5 118.5 52 17 93.5 36 42
143.0 118.0 1 93.0 6 10
142.5 117.5 92.5 31 32
142.0 117.0 6 3 92.0 33 19
141.5 116.5 91.5 9 7
141.0 116.0 40 9 91.0 43 31
140.5 1 115.5 1 90.5 6 6
140.0 115.0 39 17 90.0 51 38
139.5 2 1 114.5 4 89.5 12 12
139.0 114.0 89.0 47 39
138.5 113.5 18 4 88.5 47 28
138.0 113.0 88.0 3 8
137.5 112.5 87 32 87.5 35 32
137.0 112.0 1 87.0 14 9
136.5 111.5 24 14 86.5 30 39
136.0 5 2 111.0 9 1 86.0 31 12
135.5 110.5 85.5 4 12
135.0 110.0 39 21 85.0 41 32
134.5 1 109.5 1 84.5 11 5
134.0 109.0 49 35 84.0 44 34
133.5 2 1 108.5 6 83.5 15 17
133.0 108.0 28 19 83.0 42 35
132.5 1 1 107.5 24 7 82.5 27 16
132.0 107.0 82.0 5 16
131.5 106.5 87 37 81.5 21 25
131.0 1 106.0 81.0 6 9
130.5 105.5 44 23 80.5 33 40
130.0 2 105.0 10 3 80.0 13 18
129.5 104.5 12 12 79.5 4 13
129.0 5 2 104.0 36 16 79.0 17 16
128.5 1 103.5 1 78.5 13 6
128.0 103.0 55 38 78.0 33 28
127.5 1 1 102.5 1 1 77.5 16 10
127.0 102.0 53 25 77.0 25 27
126.5 4 101.5 22 12 76.5 14 15
126.0 101.0 29 9 76.0 4 12
125.5 11 2 100.5 70 34 75.5 18 24
American Mathematics Competitions
2006 AMC 12 A Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 14 8 50.0 3 25.0
74.5 25 30 49.5 3 1 24.5
74.0 21 12 49.0 1 3 24.0 2
73.5 9 13 48.5 3 4 23.5
73.0 10 16 48.0 8 14 23.0
72.5 7 12 47.5 3 22.5
72.0 23 23 47.0 4 22.0
71.5 14 8 46.5 1 21.5
71.0 18 18 46.0 2 21.0
70.5 9 11 45.5 2 1 20.5
70.0 9 13 45.0 1 2 20.0
69.5 11 9 44.5 1 2 19.5
69.0 11 11 44.0 1 2 19.0
68.5 16 22 43.5 2 18.5
68.0 7 10 43.0 1 18.0
67.5 2 11 42.5 1 17.5
67.0 11 7 42.0 6 4 17.0 1
66.5 7 12 41.5 16.5
66.0 15 17 41.0 16.0
65.5 4 8 40.5 15.5
65.0 10 17 40.0 1 1 15.0
64.5 12 11 39.5 1 14.5 1
64.0 2 10 39.0 1 1 14.0
63.5 12 14 38.5 13.5
63.0 8 14 38.0 13.0
62.5 10 8 37.5 1 12.5
62.0 7 4 37.0 1 12.0
61.5 5 4 36.5 1 11.5
61.0 11 8 36.0 3 11.0
60.5 4 6 35.5 10.5
60.0 19 14 35.0 1 10.0
59.5 2 8 34.5 9.5
59.0 8 6 34.0 1 1 9.0
58.5 9 5 33.5 8.5
58.0 3 6 33.0 8.0
57.5 7 6 32.5 7.5
57.0 4 3 32.0 7.0
56.5 6 6 31.5 6.5
56.0 3 5 31.0 6.0
55.5 3 3 30.5 5.5
55.0 2 1 30.0 1 5.0
54.5 2 5 29.5 4.5
54.0 11 11 29.0 4.0
53.5 1 1 28.5 3.5
53.0 3 5 28.0 3.0
52.5 2 4 27.5 2.5
52.0 1 3 27.0 1 2.0
51.5 2 3 26.5 1.5
51.0 1 3 26.0 1.0
50.5 4 6 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for California
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 1
146.5 1
144.0 1
140.5 1
139.5 1 1 2
136.0 2 1 1 3
134.5 1
133.5 1 2 1
132.5 2 1
131.0 1
130.0 1 1
129.0 1 4 2
128.5 1
127.5 1 1
126.5 1 1 1 1
125.5 1 4 8 1
125.0 1
124.0 1 3
123.0 2 2 3 7 1
122.0 1 4 5 1
121.5 1
120.5 2 2
119.5 5 8 13
118.5 1 3 24 46 4
118.0 1
117.0 1 6 4
116.0 1 5 23 20 3
115.5 1 1
115.0 4 5 20 28
114.5 2 2 2
113.5 1 7 15 2
112.5 1 11 56 59 6
112.0 1
111.5 4 16 19
111.0 1 2 1 7 1
110.0 2 1 7 28 24 7
109.5 1 1
109.0 2 22 32 31 1
108.5 1 1 4
108.0 2 15 32
107.5 3 16 12 1
106.5 11 73 46 12
105.5 1 5 23 43 8
105.0 1 6 6 1
104.5 1 1 13 10
104.0 3 17 32 5
103.5 1
103.0 2 8 45 42 1 10
102.5 1 1 1
102.0 2 8 36 36 1
101.5 3 17 15 3
101.0 3 21 16
100.5 1 9 45 50 6
100.0 1 1 1
99.5 4 6 26 39 1
99.0 1 8 8 1
98.5 1 6 16 24
98.0 3 36 22 3
97.5 1 3 4
97.0 2 9 56 44 3
96.5 4
96.0 1 8 36 34 1 2
95.5 2 3 12 10 5
95.0 1 2 4 32 31 1
94.5 1 3 33 36 5
94.0 2 1
93.5 2 10 38 33 6
93.0 2 8 7 3
92.5 2 3 31 29
92.0 2 5 23 22 6
91.5 1 9 6
91.0 2 7 34 33 2
90.5 2 6 5
90.0 1 3 3 54 32 3
89.5 5 13 6 3
89.0 6 38 41 1
88.5 4 46 28 2
88.0 1 6 4
87.5 1 4 29 35 5
87.0 2 13 8 1
86.5 6 39 29 1
86.0 3 29 13 1
85.5 4 8 5 1
85.0 2 7 34 33 6
84.5 1 11 4 2
84.0 1 9 45 23 1
83.5 2 15 16 2
83.0 2 6 40 30
82.5 5 23 16 2
82.0 1 1 11 9
81.5 1 5 24 19 2
81.0 1 7 8
80.5 3 7 34 30 2
80.0 2 25 7 2
79.5 1 2 5 9
79.0 2 18 17 1
78.5 3 13 5 1
78.0 5 29 30 2
77.5 3 13 12 2
77.0 1 5 23 23
76.5 1 5 8 17 1
76.0 1 13 3
75.5 2 2 21 17 2
75.0 1 9 12
74.5 5 23 27 1
74.0 3 3 17 9 3
73.5 1 16 5
73.0 1 17 10 3
72.5 1 12 9
72.0 1 25 19 1
71.5 2 13 7
71.0 1 3 18 13 1
70.5 2 2 13 5 1
70.0 1 1 11 9
69.5 12 9 1
69.0 3 6 13
68.5 3 20 15
68.0 1 2 6 9
67.5 2 9 5
67.0 1 11 8 2
66.5 1 11 7
66.0 1 23 9
65.5 1 6 5
65.0 2 10 16
64.5 2 12 9
64.0 1 8 5 1
63.5 3 16 8 3
63.0 12 9 2
62.5 1 11 6 1
62.0 1 8 3 2
61.5 4 6
61.0 2 1 12 4
60.5 9 1
60.0 1 2 12 19
59.5 2 8 1
59.0 1 6 7
58.5 1 3 11
58.0 1 6 1 1
57.5 1 9 3
57.0 2 3 2
56.5 1 6 6
56.0 1 3 3 2
55.5 1 1 5 1
55.0 3
54.5 3 5
54.0 1 1 6 13 1
53.5 1 1
53.0 1 7 2
52.5 4 2
52.0 1 2 1
51.5 3 2
51.0 1 1 2
50.5 7 4
50.0 3 1
49.5 1 2 1
49.0 1 3
48.5 4 3
48.0 2 12 8 1
47.5 2 1
47.0 3 1
46.5 1
46.0 1 1
45.5 2 1
45.0 2 1
44.5 2 1
44.0 2 1
43.5 2
43.0 1 1
42.5 1
42.0 1 1 4 5 2
40.0 1 1
39.5 1 1
39.0 2
38.0 1
37.5 1
37.0 1
36.5 1
36.0 1 2
35.0 1
34.0 1 1
30.0 1
27.0 1
24.0 1 1
18.0 1
17.0 1
14.5 1
American Mathematics Competitions
2006 AMC 12 A Results for California
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 9.96* 0.01 0.01 0.01 0.00 0.00 0.00
2 1.26 0.10 6.43* 0.07 0.46 1.68 0.00
3 0.02 9.10* 0.01 0.03 0.79 0.05 0.00
4 1.78 0.11 0.04 0.05 7.71* 0.30 0.00
5 0.14 0.72 0.84 7.92* 0.11 0.27 0.00
6 7.63* 0.10 0.27 0.19 0.26 1.55 0.00
7 0.66 6.01* 0.67 0.57 0.38 1.71 0.00
8 0.73 1.13 7.21* 0.26 0.08 0.59 0.00
9 8.27* 0.15 0.08 0.05 0.25 1.20 0.00
10 0.22 0.10 0.64 3.87 2.60* 2.57 0.00
11 1.33 0.86 3.62* 0.91 0.57 2.70 0.00
12 1.31 5.76* 0.13 0.58 0.22 2.00 0.00
13 0.30 0.11 0.19 0.08 6.54* 2.78 0.00
14 0.05 0.55 5.32* 1.95 0.35 1.77 0.00
15 4.39* 1.37 0.26 0.64 1.37 1.97 0.00
16 0.26 5.05* 0.13 0.19 0.48 3.89 0.00
17 0.28 0.57* 0.46 0.39 0.12 8.19 0.00
18 1.27 0.11 0.31 0.58 0.48* 7.25 0.00
19 0.10 0.17 0.15 0.16 0.31* 9.10 0.00
20 1.55 0.55 0.58* 0.22 0.15 6.94 0.00
21 0.09 0.13 0.34 0.12 0.23* 9.10 0.00
22 0.12 0.14 0.14 0.16* 0.07 9.38 0.00
23 0.09 0.18* 0.14 0.10 0.18 9.32 0.00
24 0.87 0.16 0.20 0.31* 0.12 8.34 0.00
25 0.09 0.18 0.19 0.14 0.14* 9.26 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 California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 2 125.0 100.0 1 2
149.5 124.5 99.5 10 5
149.0 124.0 4 1 99.0 6 4
148.5 123.5 98.5 10 3
148.0 123.0 3 3 98.0 20 11
147.5 122.5 97.5 3
147.0 122.0 3 1 97.0 16 8
146.5 3 121.5 3 1 96.5 7 1
146.0 121.0 96.0 8 11
145.5 120.5 8 3 95.5 6 6
145.0 120.0 1 95.0 2 7
144.5 119.5 5 1 94.5 13 8
144.0 4 119.0 1 2 94.0 2 4
143.5 118.5 1 93.5 14 5
143.0 1 118.0 2 1 93.0 7 6
142.5 117.5 92.5 17 9
142.0 117.0 7 3 92.0 23 5
141.5 116.5 91.5 4 6
141.0 116.0 10 91.0 12 7
140.5 1 115.5 5 90.5 4 5
140.0 115.0 90.0 13 16
139.5 4 114.5 5 1 89.5 8 3
139.0 114.0 1 89.0 9 10
138.5 113.5 8 4 88.5 12 10
138.0 2 113.0 88.0 4 4
137.5 112.5 4 4 87.5 15 12
137.0 1 112.0 3 1 87.0 5
136.5 111.5 1 1 86.5 19 14
136.0 111.0 6 4 86.0 16 10
135.5 110.5 85.5 14 8
135.0 110.0 9 5 85.0 12 13
134.5 1 109.5 2 84.5 4
134.0 109.0 4 1 84.0 15 20
133.5 2 108.5 7 1 83.5 4 5
133.0 108.0 2 2 83.0 12 16
132.5 1 1 107.5 8 7 82.5 12 16
132.0 4 107.0 82.0 8 11
131.5 106.5 9 3 81.5 14 17
131.0 2 1 106.0 4 4 81.0 10 6
130.5 105.5 6 5 80.5 12 18
130.0 3 1 105.0 8 4 80.0 12 5
129.5 104.5 2 1 79.5 15 13
129.0 2 104.0 14 5 79.0 18 12
128.5 2 103.5 5 2 78.5 2 10
128.0 103.0 9 7 78.0 27 17
127.5 2 102.5 4 1 77.5 8 12
127.0 102.0 6 6 77.0 15 23
126.5 5 1 101.5 10 6 76.5 15 11
126.0 1 2 101.0 2 76.0 18 16
125.5 1 100.5 7 11 75.5 15 15
American Mathematics Competitions
2006 AMC 10 B Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 12 14 50.0 16 15 25.0
74.5 26 17 49.5 8 11 24.5 1 1
74.0 12 5 49.0 11 9 24.0 1 8
73.5 14 14 48.5 7 6 23.5 2
73.0 10 9 48.0 18 12 23.0 2 1
72.5 10 12 47.5 5 7 22.5 3
72.0 23 22 47.0 14 19 22.0 1
71.5 3 8 46.5 4 8 21.5
71.0 14 15 46.0 8 11 21.0 2 1
70.5 19 10 45.5 2 14 20.5 1 3
70.0 17 15 45.0 1 9 20.0 1
69.5 18 15 44.5 3 11 19.5 1 1
69.0 10 16 44.0 9 7 19.0
68.5 21 21 43.5 5 6 18.5 1
68.0 20 14 43.0 5 9 18.0 9 4
67.5 14 18 42.5 4 5 17.5
67.0 12 23 42.0 10 13 17.0 1
66.5 15 18 41.5 3 8 16.5
66.0 16 18 41.0 1 9 16.0 1 2
65.5 6 15 40.5 1 9 15.5
65.0 14 25 40.0 8 15.0 1
64.5 14 10 39.5 2 7 14.5 1
64.0 12 19 39.0 2 3 14.0
63.5 8 16 38.5 5 3 13.5
63.0 13 11 38.0 3 7 13.0
62.5 19 27 37.5 2 5 12.5
62.0 9 18 37.0 2 4 12.0 1
61.5 10 18 36.5 2 6 11.5
61.0 8 12 36.0 7 9 11.0
60.5 7 9 35.5 2 5 10.5
60.0 24 17 35.0 1 5 10.0 1
59.5 7 14 34.5 1 5 9.5
59.0 16 19 34.0 2 4 9.0
58.5 10 11 33.5 1 10 8.5
58.0 9 20 33.0 3 2 8.0
57.5 6 16 32.5 7.5
57.0 7 12 32.0 4 7.0
56.5 14 20 31.5 2 6.5
56.0 7 12 31.0 5 1 6.0 1
55.5 16 28 30.5 3 2 5.5
55.0 15 12 30.0 5 7 5.0
54.5 9 11 29.5 3 4 4.5
54.0 22 17 29.0 2 4.0
53.5 10 15 28.5 1 3.5
53.0 17 22 28.0 3 3 3.0
52.5 12 12 27.5 2 2.5
52.0 11 12 27.0 1 1 2.0
51.5 11 15 26.5 3 1.5
51.0 4 11 26.0 1 1.0
50.5 6 17 25.5 1 2 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for California
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1 1
146.5 2 1
144.0 1 1 2
143.0 1
140.5 1
139.5 2 2
138.0 2
137.0 1
136.0 1
134.5 1
133.5 1 1
132.5 1 1
132.0 2 2
131.0 1 3
130.0 4
129.0 2
128.5 1 1
127.5 1 1
126.5 4 2
126.0 2 1
125.5 1
124.0 1 1 1 2
123.0 2 4
122.0 1 1 2
121.5 1 3
120.5 2 3 6
120.0 1
119.5 3 3
119.0 3 1
118.5 1
118.0 1 2
117.0 2 1 7
116.0 1 3 6
115.5 1 4
114.5 1 1 4
114.0 1
113.5 1 2 2 7
112.5 3 5
112.0 2 2
111.5 2
111.0 3 1 6
110.0 1 6 8 1
109.5 2
109.0 3 3
108.5 2 6
108.0 1 2 1
107.5 6 9 1
106.5 4 9
106.0 1 3 1 3
105.5 12 1
105.0 1 4 7
104.5 3
104.0 4 5 10
103.5 3 1 3
103.0 1 4 11
102.5 2 4
102.0 1 1 11
101.5 2 4 10 1
101.0 1 1
100.5 6 14 1
100.0 3
99.5 1 5 11 1
99.0 4 5 1
98.5 4 2 7
98.0 13 17 2
97.5 3
97.0 1 7 16 1
96.5 4 1 4
96.0 2 7 14
95.5 1 1 10 1
95.0 2 7
94.5 10 12 1
94.0 6
93.5 1 2 10 6 1
93.0 1 2 8 3
92.5 1 1 7 17
92.0 6 23
91.5 1 5 4
91.0 1 19
90.5 1 9
90.0 1 2 6 21
89.5 1 1 10
89.0 1 6 11 2
88.5 1 7 18 1
88.0 3 7
87.5 2 12 16 2
87.0 2 1 2
86.5 17 17
86.0 1 6 21
85.5 2 6 15 1
85.0 11 16
84.5 2 3
84.0 1 2 12 21 1
83.5 1 4 5
83.0 1 15 14 2
82.5 1 1 5 19 3
82.0 4 14 1
81.5 1 5 27
81.0 5 13 2
80.5 13 17 2
80.0 1 8 8
79.5 3 11 15 1
79.0 11 21 1
78.5 3 10 1
78.0 2 24 20
77.5 7 14
77.0 18 21 1
76.5 9 16 1
76.0 2 18 17 1
75.5 2 9 20 1
75.0 1 9 18
74.5 3 20 22
74.0 4 13
73.5 2 11 16
73.0 2 10 10 1
72.5 1 9 13 1
72.0 1 26 22 2
71.5 7 4 1
71.0 14 17 1
70.5 1 16 14 1
70.0 26 7 1
69.5 15 18 1
69.0 11 16
68.5 3 20 21 1
68.0 13 21 1
67.5 12 23
67.0 12 27
66.5 3 14 17
66.0 4 12 19 2
65.5 8 12 1
65.0 3 15 23 2
64.5 5 21
64.0 15 15 2
63.5 11 16
63.0 12 12 2
62.5 1 26 20 1
62.0 1 13 13 1
61.5 1 1 18 9 2
61.0 1 11 10 2
60.5 9 8
60.0 23 21 1
59.5 7 14 3
59.0 3 15 16 3
58.5 2 7 12 1
58.0 2 18 10
57.5 11 13 1
57.0 12 10 2
56.5 1 23 12 1
56.0 10 10
55.5 4 23 21 1
55.0 14 14
54.5 1 11 8 1
54.0 3 16 21 3
53.5 1 2 15 9 1
53.0 21 21 1
52.5 15 11
52.0 15 9
51.5 1 1 13 12 1
51.0 9 6
50.5 1 1 10 12
50.0 15 16 1
49.5 15 6 3
49.0 1 9 12
48.5 1 3 8 1
48.0 2 19 11 2
47.5 7 6 1
47.0 17 15 1
46.5 1 8 5 1
46.0 3 7 9
45.5 1 8 8 1
45.0 6 5
44.5 1 10 5 1
44.0 1 6 8 1
43.5 4 6 2
43.0 10 3 1
42.5 1 8
42.0 13 10 2
41.5 8 3
41.0 6 4
40.5 4 7
40.0 3 6
39.5 1 1 4 3
39.0 3 2
38.5 1 6 2
38.0 7 3
37.5 3 5
37.0 4 2
36.5 2 5 1
36.0 10 5 1
35.5 6 2
35.0 3 3
34.5 2 4
34.0 3 4
33.5 5 7
33.0 3 4
32.0 1 3
31.5 1 1
31.0 5 1
30.5 1 4
30.0 1 5 6
29.5 5 3 1
29.0 1 1
28.5 1
28.0 3 3
27.5 1 1
27.0 1 1
26.5 1 2
26.0 1
25.5 2 1
24.5 2
24.0 6 4 1
23.5 2
23.0 3
22.5 3 1
22.0 1
21.0 3
20.5 4
20.0 1
19.5 1 1
18.5 1
18.0 7 6
17.0 1
16.0 2 1
15.0 1
14.5 1
12.0 1
10.0 1
8.5 1
6.0 2
American Mathematics Competitions
2006 AMC 10 B Results for California
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 0.44 0.44 6.41* 1.63 0.67 0.40 0.00
2 6.05* 0.60 0.09 0.18 0.27 2.80 0.00
3 8.10* 0.22 0.04 1.17 0.27 0.19 0.00
4 1.22 1.50 0.29 3.96* 2.14 0.90 0.00
5 0.73 5.07* 2.09 0.40 0.20 1.51 0.00
6 0.37 0.27 2.77 4.30* 0.41 1.88 0.00
7 2.56* 1.83 1.15 0.88 1.01 2.57 0.00
8 1.64 1.55* 0.35 1.38 0.80 4.28 0.00
9 0.10 7.81* 0.15 0.15 0.91 0.88 0.00
10 2.84* 0.59 1.43 0.19 2.31 2.64 0.00
11 0.40 0.52 2.59* 0.47 0.38 5.63 0.00
12 0.23 0.39 0.28 0.45 5.45* 3.20 0.00
13 0.75 0.20 2.15 0.88 2.99* 3.03 0.00
14 0.20 0.20 0.27 1.24* 0.12 7.98 0.00
15 0.75 0.60 1.71* 0.29 0.42 6.23 0.00
16 2.15 0.55 2.02 0.99 1.72* 2.57 0.01
17 2.30 1.25 1.66 2.65* 0.16 1.97 0.00
18 0.54 0.45 1.12 0.45 1.11* 6.33 0.00
19 0.43* 0.55 0.29 0.17 0.28 8.28 0.00
20 0.43 0.39 0.38 0.64 1.11* 7.06 0.00
21 0.53 0.33 0.92* 1.82 0.77 5.63 0.00
22 0.31 0.65 1.58 1.02* 0.19 6.25 0.00
23 0.20 0.65 0.27 0.39* 0.30 8.17 0.00
24 0.17 1.57* 0.67 0.39 0.30 6.89 0.00
25 0.22 2.21* 0.23 1.70 0.36 5.29 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 California
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 50 26
149.0 124.0 13 4 99.0 7
148.5 123.5 98.5 87 48
148.0 123.0 14 3 98.0 10 4
147.5 122.5 1 97.5 17 14
147.0 122.0 14 4 97.0 30 10
146.5 121.5 4 1 96.5 1
146.0 121.0 96.0 57 48
145.5 120.5 7 3 95.5 6 2
145.0 120.0 95.0 118 78
144.5 119.5 24 5 94.5 16 9
144.0 119.0 94.0 14 10
143.5 118.5 24 6 93.5 56 20
143.0 118.0 6 2 93.0 2 1
142.5 117.5 92.5 74 44
142.0 117.0 11 6 92.0 7 4
141.5 116.5 91.5 35 40
141.0 116.0 22 5 91.0 22 14
140.5 115.5 1 90.5 12 13
140.0 115.0 28 7 90.0 60 57
139.5 1 1 114.5 11 89.5 5 3
139.0 114.0 2 89.0 114 89
138.5 113.5 12 3 88.5 12 8
138.0 3 113.0 88.0 31 23
137.5 112.5 28 8 87.5 34 27
137.0 112.0 87.0 10 12
136.5 111.5 30 24 86.5 58 44
136.0 7 1 111.0 12 1 86.0 11 6
135.5 110.5 85.5 33 37
135.0 110.0 16 5 85.0 14 15
134.5 109.5 84.5 28 15
134.0 109.0 48 21 84.0 60 39
133.5 6 108.5 3 1 83.5 11 10
133.0 108.0 72 31 83.0 81 80
132.5 4 107.5 12 4 82.5 12 7
132.0 2 107.0 82.0 24 34
131.5 106.5 25 6 81.5 27 26
131.0 1 106.0 2 1 81.0 11 20
130.5 105.5 55 26 80.5 43 35
130.0 9 3 105.0 2 4 80.0 9 12
129.5 104.5 58 34 79.5 16 35
129.0 9 2 104.0 10 5 79.0 13 14
128.5 103.5 1 78.5 22 30
128.0 103.0 34 15 78.0 28 32
127.5 1 102.5 1 77.5 10 15
127.0 102.0 93 61 77.0 43 33
126.5 6 3 101.5 9 76.5 7 10
126.0 1 101.0 93 57 76.0 18 22
125.5 11 4 100.5 18 10 75.5 19 13
American Mathematics Competitions
2006 AMC 12 B Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 16 13 50.0 2 4 25.0
74.5 19 34 49.5 1 2 24.5
74.0 15 10 49.0 3 3 24.0 2 1
73.5 24 36 48.5 5 4 23.5
73.0 8 14 48.0 9 10 23.0
72.5 16 21 47.5 2 4 22.5
72.0 25 29 47.0 2 1 22.0
71.5 14 13 46.5 1 6 21.5
71.0 24 29 46.0 2 2 21.0 1
70.5 18 17 45.5 2 2 20.5
70.0 15 25 45.0 1 3 20.0
69.5 19 14 44.5 1 19.5
69.0 11 11 44.0 19.0
68.5 8 13 43.5 2 1 18.5 2
68.0 8 12 43.0 1 2 18.0 2
67.5 13 14 42.5 1 2 17.5
67.0 5 10 42.0 2 6 17.0
66.5 10 20 41.5 2 3 16.5
66.0 15 20 41.0 1 1 16.0
65.5 8 9 40.5 1 1 15.5
65.0 16 20 40.0 15.0
64.5 8 3 39.5 14.5
64.0 11 12 39.0 1 14.0
63.5 4 15 38.5 1 1 13.5
63.0 2 10 38.0 13.0
62.5 11 15 37.5 2 12.5
62.0 4 8 37.0 1 12.0
61.5 6 8 36.5 11.5
61.0 5 10 36.0 5 2 11.0
60.5 4 11 35.5 1 10.5
60.0 19 12 35.0 1 10.0
59.5 8 5 34.5 9.5
59.0 7 12 34.0 1 9.0
58.5 6 7 33.5 1 8.5
58.0 7 10 33.0 8.0
57.5 6 5 32.5 1 7.5
57.0 5 1 32.0 7.0
56.5 6 12 31.5 6.5
56.0 5 6 31.0 1 6.0
55.5 3 6 30.5 5.5
55.0 3 4 30.0 2 2 5.0
54.5 3 10 29.5 4.5
54.0 13 11 29.0 1 4.0
53.5 4 2 28.5 3.5
53.0 6 4 28.0 1 3.0
52.5 3 5 27.5 2.5
52.0 5 7 27.0 1 2.0
51.5 2 3 26.5 1.5
51.0 3 8 26.0 1 1.0
50.5 3 4 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for California
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
139.5 1 1
138.0 1 2
136.0 2 3 3 1
133.5 2 2 2
132.5 2 2
132.0 1 1
131.0 1
130.0 1 2 4 6
129.0 2 1 2 7
127.5 1
126.5 2 1 4 2
126.0 1
125.5 1 2 2 5 4 1
124.0 3 8 5 1
123.0 1 1 1 9 7
122.5 1
122.0 2 3 6 7 1
121.5 2 2 1
120.5 1 3 4 2 1
119.5 1 3 2 6 18
118.5 3 2 10 17 1
118.0 1 1 2 1 3
117.0 2 7 9
116.0 1 5 13 11
115.5 1 1
115.0 1 2 17 18 1
114.5 1 2 4 4
114.0 1 1
113.5 1 10 4 1
112.5 1 2 1 19 14 2
111.5 2 2 28 22 2
111.0 2 8 3
110.0 1 4 9 8
109.0 1 3 11 29 30 5
108.5 1 2 1
108.0 1 3 15 33 53 2
107.5 1 1 4 8 3 1
106.5 3 5 12 10 2
106.0 1 2
105.5 1 4 35 43 5
105.0 2 5 1
104.5 1 2 7 40 44 2
104.0 1 1 4 9
103.5 1
103.0 1 3 25 22 1
102.5 1
102.0 5 1 21 64 64 4
101.5 1 2 6
101.0 1 1 6 17 73 60 5
100.5 1 1 2 13 13 1
100.0 1
99.5 2 2 11 31 34 6
99.0 1 3 3 1
98.5 1 6 5 69 60 3
98.0 3 10 3
97.5 4 14 14
97.0 4 22 15 3
96.5 1 1
96.0 1 10 56 45 3
95.5 2 5 1
95.0 1 1 5 24 88 85 4
94.5 1 2 8 14
94.0 2 3 10 9 1
93.5 2 3 7 40 28 1
93.0 2 1
92.5 6 8 63 43 5
92.0 3 6 3
91.5 5 12 37 24 2
91.0 3 5 22 10 1
90.5 2 4 10 10
90.0 4 13 57 48 2
89.5 1 2 5 1
89.0 1 8 30 96 74 5
88.5 1 1 9 10
88.0 1 3 6 27 17 2
87.5 4 4 31 24 2
87.0 2 2 12 6 1
86.5 5 7 57 38 2
86.0 1 9 7
85.5 4 12 26 28 3
85.0 2 4 14 10 2
84.5 1 8 19 15 2
84.0 5 11 46 37 2
83.5 1 3 13 4
83.0 1 8 26 79 49 1
82.5 3 3 5 10 2
82.0 1 7 38 13 2
81.5 3 6 26 19 2
81.0 1 4 2 15 10
80.5 1 1 1 5 6 39 26 3
80.0 4 1 11 5 2
79.5 4 6 28 17 4
79.0 1 1 20 7
78.5 8 1 27 17 3
78.0 1 3 8 31 19 6
77.5 4 11 11
77.0 1 6 12 37 25 2
76.5 1 12 5
76.0 5 4 30 7 1
75.5 2 6 11 14 1
75.0 3 4 13 10
74.5 1 8 22 22 1
74.0 3 1 14 7 1
73.5 10 9 27 15 1
73.0 1 16 6 1
72.5 3 21 13
72.0 5 5 27 17 3
71.5 1 3 2 15 7
71.0 2 13 24 14 2
70.5 2 2 22 11
70.0 7 4 17 12
69.5 1 6 18 8 2
69.0 2 1 6 12 4
68.5 3 2 13 6 1
68.0 1 2 2 7 8
67.5 1 4 2 15 8 3
67.0 1 1 7 6
66.5 1 3 19 9
66.0 3 18 15 5
65.5 1 2 2 7 7
65.0 2 2 17 15
64.5 1 2 6 2
64.0 1 1 5 2 11 5
63.5 2 3 6 8 1
63.0 1 1 6 5
62.5 4 3 12 8
62.0 1 1 7 4 1
61.5 2 2 7 3 1
61.0 1 8 6
60.5 2 6 7 1 2
60.0 5 2 15 10 1
59.5 2 3 5 3
59.0 4 12 3 1
58.5 2 8 3
58.0 2 2 10 3
57.5 2 5 4
57.0 1 1 4
56.5 1 2 3 8 3 2
56.0 1 6 3 2
55.5 3 1 4 2
55.0 1 6
54.5 5 4 5
54.0 2 3 9 9 1
53.5 1 2 3
53.0 1 3 6
52.5 1 2 2 3 1
52.0 2 9 1
51.5 2 1 2
51.0 3 5 3
50.5 2 5
50.0 1 2 3
49.5 1 2
49.0 2 4
48.5 1 1 4 4
48.0 1 3 8 8 1
47.5 3 3
47.0 2 1 1
46.5 1 4 3 1
46.0 1 2 1
45.5 3 1
45.0 2 2
44.5 1
43.5 1 2
43.0 1 1 1
42.5 1 2
42.0 4 1 3 1 1
41.5 1 2 2
41.0 2
40.5 2
39.0 1
38.5 1 1
37.5 1 1
37.0 1
36.0 2 3 2
35.5 1
35.0 1
34.0 1
33.5 1
32.5 1
31.0 1
30.0 2 2
29.0 1
28.0 1
27.0 1
26.5 1
26.0 1
24.0 1 1 1
21.0 1
18.5 1 1 1
18.0 1 1 1
12.0 1
American Mathematics Competitions
2006 AMC 12 B Results for California
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 0.21 0.26 8.40* 0.74 0.24 0.14 0.00
2 8.21* 0.33 0.06 0.06 0.24 1.10 0.00
3 8.73* 0.20 0.02 0.68 0.26 0.10 0.00
4 9.18* 0.27 0.09 0.22 0.06 0.18 0.00
5 7.35* 0.63 0.26 0.21 0.18 1.38 0.00
6 0.07 8.81* 0.10 0.08 0.49 0.44 0.00
7 0.48 8.31* 0.35 0.37 0.13 0.35 0.00
8 0.10 0.22 0.20 0.30 7.69* 1.48 0.00
9 0.41 4.72* 0.32 0.78 0.34 3.44 0.00
10 4.10* 0.59 1.03 0.13 2.22 1.94 0.00
11 0.59 0.13 1.22 0.84 4.77* 2.45 0.00
12 0.59 0.47 0.46 1.44* 0.59 6.46 0.00
13 0.56 0.53 2.96* 0.21 0.48 5.26 0.00
14 0.21 0.43 1.77 2.17* 0.08 5.33 0.00
15 0.22 2.66* 0.78 0.36 0.21 5.77 0.00
16 0.20 0.20 1.47* 0.22 0.20 7.72 0.00
17 0.54 0.19 1.55* 1.21 0.33 6.19 0.00
18 0.42 0.81* 0.99 0.28 0.13 7.36 0.00
19 0.13 2.01* 0.16 1.32 0.27 6.10 0.00
20 0.15 0.24 0.27* 0.16 0.53 8.65 0.00
21 0.22 0.11 0.21* 0.13 0.13 9.20 0.00
22 0.14 0.31* 0.23 0.13 0.08 9.12 0.00
23 0.12 0.17 0.41 0.19 0.08* 9.02 0.00
24 0.16 0.15 0.15* 0.17 0.09 9.28 0.00
25 0.09 0.20* 0.20 0.23 0.07 9.22 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column