American Mathematics Competitions
2005 AMC 10 A Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4813
Number of unofficial participants: 13
Average score of participants: 74.9
Average score for female students is: 71.0 ( 2205 Students)
Average score for male students is: 78.6 ( 2043 Students)
Average score for unspecified gender is 76.6 ( 565 Students)
Average score for grade 10 is: 76.2 ( 2382 Students)
Average score for grade 9 is: 72.5 ( 1937 Students)
Average score for grade 8 and below is: 82.8 ( 203 Students)
Average score with unknown grade: 74.7 ( 291 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 81
Number of schools returning results 125
Average school winning score 107.72
American Mathematics Competitions
2005 AMC 12 A Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 5833
Number of unofficial participants: 18
Average score of participants: 80.9
Average score for female students is: 76.8 ( 2400 Students)
Average score for male students is: 84.0 ( 3039 Students)
Average score for unspecified gender is 82.1 ( 394 Students)
Average score for grade 13 is: 76.2 ( 3 Students)
Average score for grade 12 is: 82.1 ( 2140 Students)
Average score for grade 11 is: 79.6 ( 2839 Students)
Average score for grade 10 is: 83.0 ( 500 Students)
Average score for grade 9 is: 80.1 ( 185 Students)
Average score for grade 8 and below is: 89.3 ( 9 Students)
Average score with unknown grade: 82.5 ( 157 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 826
Number of schools returning results 142
Average school winning score 109.54
Average school team score 308.46
American Mathematics Competitions
2005 AMC 10 B Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3365
Number of unofficial participants: 0
Average score of participants: 77.4
Average score for female students is: 74.3 ( 1571 Students)
Average score for male students is: 80.8 ( 1499 Students)
Average score for unspecified gender is 77.1 ( 295 Students)
Average score for grade 10 is: 78.6 ( 1611 Students)
Average score for grade 9 is: 76.2 ( 1478 Students)
Average score for grade 8 and below is: 84.3 ( 140 Students)
Average score with unknown grade: 70.3 ( 136 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 52
Number of schools returning results 118
Average school winning score 109.17
American Mathematics Competitions
2005 AMC 12 B Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4856
Number of unofficial participants: 0
Average score of participants: 84.2
Average score for female students is: 81.2 ( 2118 Students)
Average score for male students is: 86.8 ( 2483 Students)
Average score for unspecified gender is 83.2 ( 255 Students)
Average score for grade 13 is: 84.8 ( 2 Students)
Average score for grade 12 is: 85.9 ( 1662 Students)
Average score for grade 11 is: 83.0 ( 2343 Students)
Average score for grade 10 is: 83.5 ( 535 Students)
Average score for grade 9 is: 84.5 ( 203 Students)
Average score for grade 8 and below is: 98.0 ( 22 Students)
Average score with unknown grade: 82.9 ( 89 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 666
Number of schools returning results 152
Average school winning score 109.87
Average school team score 303.22
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
412.5 1 1
411.0 1 2
408.5 2 3
406.0 1 5
400.0 1 6
398.0 1 7
393.5 1 8
391.0 1 9
390.0 1 10
389.0 1 11
386.0 1 12
380.0 1 13
378.5 1 14
377.0 1 15
376.0 1 16
374.0 1 17
371.5 1 18
371.0 1 19
370.5 1 20
368.5 1 21
368.0 1 22
367.0 1 23
366.5 1 24
365.5 1 25
364.0 1 26
363.0 1 27
362.0 1 28
360.5 1 29
360.0 1 30
359.5 1 31
357.5 1 2 32
356.0 1 35
355.5 1 36
352.5 2 1 37
349.5 1 40
349.0 1 41
348.0 1 42
346.5 1 43
346.0 1 44
345.5 1 45
344.5 1 46
344.0 1 47
343.5 1 48
343.0 1 49
342.5 2 50
341.0 1 52
338.5 1 53
338.0 1 54
337.5 1 3 55
336.5 1 1 59
336.0 1 61
335.5 1 62
334.0 1 63
333.5 2 64
333.0 1 66
332.5 2 1 67
332.0 2 70
331.5 1 72
331.0 1 73
330.5 2 74
330.0 1 76
329.5 1 4 77
328.5 1 82
328.0 1 1 83
327.0 3 85
326.5 1 1 88
326.0 1 90
325.5 1 91
325.0 2 92
324.5 1 94
324.0 1 95
323.5 1 96
322.5 2 2 97
322.0 2 101
321.5 2 103
321.0 3 105
320.5 1 108
320.0 3 109
319.0 1 112
318.5 1 1 113
318.0 3 1 115
317.5 2 119
316.5 1 1 121
316.0 2 123
315.5 2 2 125
315.0 2 1 129
314.5 1 132
314.0 1 2 133
313.5 1 136
312.0 1 137
311.5 2 4 138
310.5 1 1 144
310.0 2 3 146
309.5 1 151
308.5 3 152
308.0 1 155
307.0 2 6 156
306.5 1 1 164
306.0 1 3 166
305.5 2 1 170
305.0 1 1 173
304.5 2 1 175
304.0 1 1 178
303.5 3 180
303.0 1 183
302.5 3 1 184
302.0 1 1 188
301.5 1 190
300.5 2 191
300.0 1 2 193
299.5 1 196
298.0 2 197
297.5 1 3 199
297.0 1 203
296.0 1 204
295.5 2 3 205
295.0 1 210
294.5 1 211
294.0 1 212
293.0 1 213
292.5 1 214
292.0 1 1 215
291.0 1 2 217
290.5 1 1 220
290.0 1 1 222
289.0 1 224
288.5 2 2 225
286.5 1 229
286.0 1 6 230
285.0 1 237
284.0 1 238
283.5 1 239
282.5 1 1 240
281.5 1 242
280.5 1 243
280.0 1 244
279.5 1 245
279.0 1 246
278.0 1 247
277.0 1 248
276.5 2 1 249
275.0 1 252
274.0 1 253
273.5 1 254
272.5 1 255
272.0 1 256
271.0 1 257
270.0 1 258
267.0 1 259
265.0 1 260
264.5 1 261
262.5 2 262
260.5 1 264
260.0 1 265
259.5 1 266
259.0 1 267
256.5 1 268
255.5 1 269
251.0 1 270
248.0 1 271
246.5 1 272
239.5 1 273
239.0 1 274
234.0 1 275
232.0 1 1 276
230.0 1 278
220.0 1 279
217.0 1 280
211.5 1 281
201.0 1 282
198.0 1 283
184.5 1 284
184.0 1 285
164.5 1 286
137.0 1 287
130.0 1 288
103.0 1 289
102.5 1 290
93.5 1 291
80.5 1 292
67.5 1 293
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 3
144.0 1 1 4 3
143.0 2 1 1 2
140.5 1 2
139.5 1 1 1
138.0 2 1 2 3
137.0 4 2 4 1
136.0 3 4 2
134.5 5 1
133.5 4 5 1 1
132.5 3 3 1 1
132.0 1 2 1
131.0 7 6 1
130.0 2 5 1 2
129.0 4 2 1 2
128.5 2 1 1
127.5 1 1 1
126.5 5 4 2 5
126.0 1 6 3
125.5 2 6
125.0 2 1 2 2
124.0 2 5 7 1
123.0 6 8 5 7
122.5 4 1
122.0 8 2 2 2
121.5 3 1 4 1
120.5 5 4 9 2
120.0 1 7
119.5 12 5 2 7
119.0 1 1 5 5
118.5 13 5 2 1
118.0 5 4 2 3
117.0 5 6 7 14
116.5 2
116.0 15 13 10 5
115.5 1 2 5 4
115.0 17 9 4 3
114.5 5 3 13 5
114.0 5 3
113.5 11 5 8 9
113.0 2 2 2 2
112.5 32 17 10 5
112.0 1 4 10 5
111.5 23 17 3 5
111.0 3 3 16 6
110.5 1 1
110.0 10 17 19 19
109.5 2 6 2
109.0 39 33 9 7
108.5 5 2 14 10
108.0 45 52 7 4
107.5 15 9 13 13
107.0 1 3 3
106.5 28 34 14 11
106.0 3 3 3 4
105.5 67 47 13 10
105.0 4 3 14 16
104.5 62 40 5 6
104.0 18 24 22 32
103.5 1 6 1
103.0 40 48 23 17
102.5 4 4 7 12
102.0 100 82 22 24
101.5 14 7 26 16
101.0 117 76 6 6
100.5 34 32 26 24
100.0 2 8 2
99.5 73 76 25 22
99.0 4 7 12 14
98.5 103 99 32 27
98.0 12 11 30 31
97.5 33 18 13 9
97.0 32 45 33 26
96.5 5 3 11 8
96.0 85 119 36 28
95.5 9 17 21 19
95.0 164 172 38 31
94.5 27 34 17 21
94.0 37 31 12 12
93.5 60 75 33 43
93.0 3 2 12 17
92.5 106 123 48 39
92.0 20 18 39 29
91.5 77 79 38 30
91.0 39 41 44 37
90.5 36 36 14 13
90.0 92 96 50 51
89.5 5 6 19 23
89.0 175 181 55 45
88.5 20 29 19 24
88.0 74 81 44 25
87.5 49 63 45 37
87.0 36 40 26 21
86.5 102 133 66 51
86.0 18 22 31 36
85.5 78 99 71 40
85.0 16 28 41 43
84.5 73 57 45 29
84.0 91 100 43 43
83.5 40 29 25 21
83.0 152 155 61 52
82.5 26 32 34 29
82.0 92 69 60 28
81.5 36 67 37 38
81.0 62 56 54 37
80.5 78 95 55 45
80.0 37 23 35 39
79.5 73 71 55 42
79.0 31 37 34 45
78.5 83 65 60 19
78.0 59 84 63 44
77.5 69 17 46 25
77.0 135 103 66 39
76.5 34 41 30 33
76.0 75 60 71 40
75.5 37 39 38 27
75.0 67 32 61 24
74.5 66 64 67 44
74.0 39 27 39 32
73.5 63 59 57 33
73.0 36 29 30 25
72.5 68 22 62 31
72.0 49 62 80 38
71.5 65 19 53 22
71.0 95 59 74 41
70.5 35 21 38 25
70.0 58 25 66 35
69.5 37 18 32 25
69.0 58 20 57 24
68.5 44 51 55 34
68.0 39 19 39 21
67.5 47 28 64 32
67.0 28 25 29 18
66.5 64 22 48 29
66.0 46 43 58 42
65.5 43 19 50 23
65.0 67 38 55 26
64.5 35 11 36 20
64.0 40 18 51 16
63.5 24 20 29 27
63.0 34 17 39 18
62.5 37 26 51 31
62.0 27 15 30 20
61.5 28 22 34 24
61.0 28 13 32 24
60.5 31 11 47 22
60.0 54 35 58 42
59.5 22 11 35 18
59.0 43 23 32 14
58.5 21 12 21 13
58.0 28 10 27 21
57.5 19 7 21 16
57.0 27 11 35 21
56.5 29 11 31 17
56.0 20 12 22 16
55.5 10 7 24 15
55.0 16 4 14 17
54.5 15 8 18 13
54.0 44 26 48 37
53.5 22 6 31 12
53.0 25 14 30 8
52.5 18 5 17 11
52.0 15 4 18 17
51.5 11 9 21 13
51.0 13 8 19 13
50.5 19 7 12 12
50.0 15 6 12 9
49.5 16 3 20 11
49.0 16 3 13 11
48.5 10 1 10 10
48.0 31 23 37 22
47.5 5 1 8 7
47.0 6 8 21 10
46.5 7 1 10 8
46.0 10 3 11 5
45.5 11 9 8
45.0 12 4 12 9
44.5 4 6 17 5
44.0 6 5 7 10
43.5 5 3 5 5
43.0 7 2 6 8
42.5 4 3 12 6
42.0 11 11 47 19
41.5 6 1 9 5
41.0 3 2 9 2
40.5 4 1 5 3
40.0 1 1 7 9
39.5 6 3 2
39.0 5 5 6
38.5 2 2 7 7
38.0 4 1 2 4
37.5 1 1 6 6
37.0 4 1
36.5 4 1 6 4
36.0 11 10 33 13
35.5 2 1 6
35.0 2 3 3
34.5 1 4
34.0 3 4
33.5 2 2 1
33.0 1 1 6 2
32.5 4 1 9 4
32.0 1 1 1
31.5 2 4
31.0 2 1 2 1
30.5 1 2 3
30.0 8 4 29 6
29.5 2 1
29.0 1 4 1
28.5 2
28.0 3 1
27.5 1
27.0 2 2 4
26.5 5 1
26.0 1 1 2
25.5 1 2
25.0 1
24.5 2 1
24.0 5 1 20 11
23.0 1 2
22.0 1 1 1
21.0 1
20.5 2
18.0 15 5
17.0 1
12.0 1 1 2 1
8.5 1
7.5 1
6.0 1 3
American Mathematics Competitions
2005 AMC 10 A Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 2 1 125.0 2 100.0 6 1
149.5 124.5 99.5 11 9
149.0 124.0 5 2 99.0 6 5
148.5 123.5 98.5 15 12
148.0 123.0 4 1 98.0 18 12
147.5 122.5 3 97.5 6 6
147.0 122.0 1 1 97.0 16 10
146.5 121.5 3 96.5 9 1
146.0 121.0 96.0 17 14
145.5 120.5 5 3 95.5 12 7
145.0 120.0 6 1 95.0 12 19
144.5 119.5 2 94.5 8 4
144.0 4 119.0 4 1 94.0 8 4
143.5 118.5 2 93.5 12 15
143.0 1 118.0 1 93.0 11 1
142.5 117.5 92.5 20 20
142.0 117.0 6 1 92.0 21 11
141.5 116.5 1 91.5 18 16
141.0 116.0 8 1 91.0 24 15
140.5 1 115.5 4 1 90.5 6 5
140.0 115.0 2 2 90.0 21 17
139.5 114.5 10 2 89.5 13 3
139.0 114.0 4 1 89.0 19 23
138.5 113.5 4 2 88.5 11 7
138.0 2 113.0 2 88.0 24 13
137.5 112.5 6 4 87.5 20 19
137.0 3 1 112.0 8 2 87.0 12 11
136.5 111.5 1 2 86.5 15 42
136.0 2 111.0 9 3 86.0 15 13
135.5 110.5 1 85.5 30 36
135.0 110.0 13 3 85.0 17 19
134.5 1 109.5 3 3 84.5 22 19
134.0 109.0 3 5 84.0 19 17
133.5 1 108.5 12 1 83.5 13 10
133.0 108.0 6 1 83.0 30 22
132.5 1 107.5 9 4 82.5 19 13
132.0 1 1 107.0 3 82.0 28 24
131.5 106.5 9 5 81.5 16 17
131.0 4 1 106.0 1 2 81.0 18 29
130.5 105.5 2 9 80.5 20 27
130.0 1 105.0 7 5 80.0 9 24
129.5 104.5 2 1 79.5 30 18
129.0 1 104.0 12 7 79.0 20 12
128.5 1 103.5 3 78.5 17 34
128.0 103.0 15 7 78.0 30 25
127.5 1 102.5 2 1 77.5 16 24
127.0 102.0 14 7 77.0 31 25
126.5 1 1 101.5 15 9 76.5 16 12
126.0 6 101.0 3 3 76.0 30 33
125.5 100.5 16 8 75.5 11 20
American Mathematics Competitions
2005 AMC 10 A Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 26 31 50.0 4 7 25.0 1
74.5 27 33 49.5 9 10 24.5
74.0 12 20 49.0 5 6 24.0 5 13
73.5 29 19 48.5 2 8 23.5
73.0 7 17 48.0 10 23 23.0 1 1
72.5 28 26 47.5 1 7 22.5
72.0 39 31 47.0 6 13 22.0 1
71.5 21 26 46.5 3 6 21.5
71.0 32 38 46.0 5 5 21.0
70.5 15 14 45.5 1 7 20.5 2
70.0 18 35 45.0 4 7 20.0
69.5 15 14 44.5 9 8 19.5
69.0 19 30 44.0 4 3 19.0
68.5 23 27 43.5 2 2 18.5
68.0 14 20 43.0 2 3 18.0 3 12
67.5 16 35 42.5 3 7 17.5
67.0 9 18 42.0 12 31 17.0 1
66.5 15 28 41.5 3 6 16.5
66.0 27 25 41.0 3 5 16.0
65.5 22 23 40.5 1 3 15.5
65.0 19 29 40.0 2 4 15.0
64.5 18 15 39.5 2 14.5
64.0 22 23 39.0 1 4 14.0
63.5 15 12 38.5 2 5 13.5
63.0 14 18 38.0 1 1 13.0
62.5 18 21 37.5 1 5 12.5
62.0 8 18 37.0 12.0 2
61.5 13 19 36.5 3 3 11.5
61.0 13 16 36.0 8 22 11.0
60.5 19 21 35.5 1 10.5
60.0 27 26 35.0 1 2 10.0
59.5 12 21 34.5 9.5
59.0 8 19 34.0 1 3 9.0
58.5 5 16 33.5 8.5 1
58.0 10 16 33.0 3 2 8.0
57.5 12 9 32.5 3 6 7.5 1
57.0 10 21 32.0 1 7.0
56.5 9 20 31.5 2 6.5
56.0 11 7 31.0 1 1 6.0 2 1
55.5 8 14 30.5 1 1 5.5
55.0 8 5 30.0 8 19 5.0
54.5 4 11 29.5 4.5
54.0 17 26 29.0 4 4.0
53.5 10 18 28.5 3.5
53.0 10 15 28.0 3 3.0
52.5 7 9 27.5 1 2.5
52.0 7 11 27.0 2 2.0
51.5 9 9 26.5 1 4 1.5
51.0 13 6 26.0 1 1.0
50.5 6 4 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for California
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 2 1
144.0 1 2 1
143.0 1
140.5 1
139.5 1
138.0 1 1
137.0 1 2 1
136.0 1 1
134.5 1
133.5 1
132.5 1
132.0 2
131.0 1 1 3 1
130.0 1
129.0 1
128.5 1
127.5 1
126.5 2
126.0 2 2 2
125.0 1 1
124.0 2 5
123.0 1 2 2
122.5 2 2
122.0 2
121.5 1 2 1
120.5 3 6
120.0 1 3 3
119.5 2
119.0 1 4
118.5 1 1
118.0 1 1
117.0 1 1 5
116.5 1 1
116.0 1 2 7
115.5 2 2 1
115.0 1 3
114.5 1 5 7
114.0 1 2 2
113.5 1 3 3 1
113.0 1 1
112.5 1 4 5
112.0 1 1 3 5
111.5 1 2
111.0 6 8 2
110.5 1
110.0 5 12 2
109.5 2 4
109.0 1 1 7
108.5 1 3 10
108.0 1 6
107.5 4 8 1
107.0 1 1 1
106.5 4 10
106.0 1 1 1
105.5 5 8
105.0 3 11
104.5 3 2
104.0 1 8 13
103.5 4 2
103.0 3 11 8 1
102.5 3 3 1
102.0 8 13 1
101.5 1 9 16
101.0 3 3
100.5 2 7 16 1
100.0 1 2 4 1
99.5 1 2 6 12 4
99.0 1 4 7
98.5 1 13 17 1
98.0 1 1 10 17 1
97.5 2 10 1
97.0 11 19 3
96.5 1 1 8 1
96.0 1 13 17 5
95.5 1 1 5 12 2
95.0 15 20 3
94.5 1 2 5 8 1
94.0 2 9 1
93.5 2 10 19 2
93.0 1 4 7
92.5 19 23 6
92.0 1 14 22 2
91.5 1 1 15 19 2
91.0 2 11 28 3
90.5 1 5 7 1
90.0 1 1 20 25 3
89.5 1 5 12 1
89.0 2 18 30 5
88.5 1 9 9
88.0 1 15 21 7
87.5 1 1 18 22 3
87.0 1 1 8 14 2
86.5 1 1 22 38 4
86.0 3 9 19
85.5 1 3 33 31 3
85.0 2 1 12 24 2
84.5 1 21 19 4
84.0 1 2 16 20 4
83.5 1 9 14 1
83.0 4 20 32 5
82.5 1 1 11 20 1
82.0 1 1 3 21 29 5
81.5 1 13 21 2
81.0 1 21 29 3
80.5 2 17 35 1
80.0 1 12 21 1
79.5 2 1 25 23 4
79.0 2 1 11 18 2
78.5 1 1 31 24 3
78.0 2 25 33 3
77.5 1 22 19 4
77.0 2 21 35 8
76.5 1 11 17 1
76.0 1 2 1 34 28 5
75.5 11 26 1
75.0 1 3 24 32 1
74.5 1 27 35 4
74.0 3 19 13 4
73.5 2 22 30 3
73.0 2 8 15 5
72.5 1 32 23 6
72.0 2 1 1 27 47 2
71.5 1 19 27 6
71.0 34 38 2
70.5 1 1 11 19 6
70.0 31 27 8
69.5 2 14 15 1
69.0 1 1 23 29 3
68.5 1 3 28 22 1
68.0 1 2 16 19 1
67.5 28 27 9
67.0 15 13 1
66.5 1 22 22 3
66.0 1 3 18 35 1
65.5 22 26 2
65.0 1 26 24 4
64.5 1 16 16 3
64.0 1 1 1 29 16 3
63.5 1 2 13 12 1
63.0 1 1 17 19 1
62.5 1 1 13 27 9
62.0 21 9
61.5 16 16 2
61.0 1 12 18 1
60.5 21 23 3
60.0 21 35 2
59.5 1 18 13 3
59.0 2 16 13 1
58.5 11 10
58.0 1 17 9
57.5 1 10 10
57.0 1 11 21 2
56.5 1 11 18 1
56.0 3 7 10 2
55.5 1 16 4 3
55.0 1 6 6 1
54.5 1 6 9 2
54.0 1 19 23 5
53.5 1 15 13 2
53.0 1 12 14 3
52.5 7 10
52.0 9 8 1
51.5 1 11 8 1
51.0 7 12
50.5 9 2 1
50.0 6 6
49.5 12 8
49.0 1 4 7 1
48.5 1 4 5
48.0 1 1 12 20 3
47.5 3 5
47.0 13 6 2
46.5 3 5 2
46.0 7 4
45.5 1 4 2 2
45.0 4 7 1
44.5 1 9 7
44.0 1 2 4
43.5 3 1 1
43.0 5 1
42.5 1 5 5 1
42.0 1 19 26 1
41.5 5 4
41.0 7 1 1
40.5 1 3 1
40.0 4 2 1
39.5 3
39.0 1 4
38.5 4 3
38.0 2
37.5 2 4
36.5 4 2
36.0 1 19 9 4
35.5 1
35.0 2 1
34.5 1
34.0 1 3
33.0 3 2 1
32.5 7 2
32.0 1
31.5 2
31.0 1 1
30.5 2
30.0 1 12 16
29.0 4
28.0 3
27.5 1
27.0 2
26.5 4 1
26.0 1
25.5 1
25.0 1
24.0 11 8 1
23.0 1 1
22.0 1
20.5 2
18.0 7 8
17.0 1
12.0 1 1
8.5 1
7.5 1
6.0 2 1
American Mathematics Competitions
2005 AMC 10 A Results for California
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 0.27 0.16 0.31 8.57* 0.37 0.32 0.00
2 0.17 0.18 6.24* 0.09 1.40 1.92 0.00
3 0.08 8.94* 0.27 0.38 0.09 0.24 0.00
4 0.50 2.39* 1.46 0.69 0.68 4.28 0.00
5 5.70* 0.45 3.47 0.14 0.07 0.16 0.00
6 0.33 5.28* 2.77 0.16 0.09 1.38 0.00
7 0.71 4.05* 0.33 0.42 0.70 3.80 0.00
8 0.97 0.31 5.05* 0.17 0.15 3.33 0.00
9 1.29 5.53* 1.03 0.24 0.18 1.72 0.00
10 2.48* 0.49 1.01 0.43 0.16 5.42 0.00
11 0.50 2.34* 0.26 0.80 0.14 5.96 0.00
12 0.38 1.69* 0.65 0.29 0.76 6.24 0.00
13 1.41 0.68 0.46 0.43 1.15* 5.87 0.00
14 0.84 0.57 0.44 0.51 2.42* 5.22 0.00
15 0.56 1.13 0.83 1.12 0.93* 5.42 0.00
16 0.63 0.40 0.78 2.13* 0.15 5.90 0.01
17 0.30 0.35 0.59 2.21* 0.48 6.06 0.00
18 1.47* 1.76 1.08 3.16 0.34 2.19 0.00
19 0.42 0.68 0.72 3.80* 0.52 3.85 0.00
20 0.70* 0.45 0.71 0.55 0.30 7.29 0.00
21 1.53 0.93* 0.33 0.39 0.68 6.15 0.00
22 0.77 0.53 0.37 2.39* 0.55 5.39 0.00
23 0.27 0.47 1.26* 0.95 0.75 6.31 0.00
24 1.12 1.03* 0.49 0.25 0.13 6.98 0.00
25 0.32 0.74 0.74 0.92* 0.13 7.15 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 California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 1 100.0 1
149.5 124.5 99.5 44 25
149.0 124.0 2 99.0 3 1
148.5 123.5 98.5 69 28
148.0 123.0 6 98.0 7 4
147.5 122.5 97.5 15 16
147.0 122.0 7 97.0 22 9
146.5 121.5 3 96.5 4 1
146.0 121.0 96.0 46 30
145.5 120.5 5 95.5 9
145.0 120.0 95.0 99 54
144.5 119.5 7 5 94.5 15 7
144.0 1 119.0 1 94.0 16 18
143.5 118.5 11 2 93.5 42 13
143.0 1 118.0 5 93.0 2 1
142.5 117.5 92.5 60 39
142.0 117.0 5 92.0 12 6
141.5 116.5 91.5 32 39
141.0 116.0 14 1 91.0 20 16
140.5 115.5 1 90.5 16 18
140.0 115.0 11 4 90.0 48 30
139.5 1 114.5 3 2 89.5 3 2
139.0 114.0 89.0 91 69
138.5 113.5 10 88.5 14 6
138.0 2 113.0 2 88.0 35 36
137.5 112.5 29 2 87.5 33 12
137.0 3 1 112.0 1 87.0 16 19
136.5 111.5 15 7 86.5 53 40
136.0 2 111.0 3 86.0 11 6
135.5 110.5 85.5 42 32
135.0 110.0 9 1 85.0 9 5
134.5 5 109.5 84.5 25 46
134.0 109.0 24 9 84.0 49 37
133.5 4 108.5 4 1 83.5 22 17
133.0 108.0 26 14 83.0 74 64
132.5 3 107.5 10 4 82.5 14 9
132.0 107.0 82.0 43 43
131.5 106.5 20 7 81.5 22 14
131.0 7 106.0 2 81.0 22 34
130.5 105.5 43 19 80.5 43 31
130.0 2 105.0 4 80.0 17 18
129.5 104.5 41 19 79.5 30 36
129.0 4 104.0 14 4 79.0 20 11
128.5 103.5 1 78.5 37 42
128.0 103.0 28 8 78.0 26 31
127.5 102.5 2 2 77.5 29 35
127.0 102.0 72 15 77.0 76 52
126.5 2 1 101.5 12 1 76.5 14 16
126.0 1 101.0 70 36 76.0 32 39
125.5 2 100.5 25 6 75.5 20 14
American Mathematics Competitions
2005 AMC 12 A Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 35 28 50.0 8 7 25.0
74.5 29 33 49.5 8 6 24.5 1 1
74.0 16 21 49.0 9 7 24.0 3 2
73.5 28 32 48.5 2 8 23.5
73.0 22 13 48.0 15 14 23.0
72.5 33 33 47.5 3 2 22.5
72.0 26 19 47.0 1 4 22.0 1
71.5 33 27 46.5 2 4 21.5
71.0 43 43 46.0 4 6 21.0
70.5 14 17 45.5 4 7 20.5
70.0 29 26 45.0 6 5 20.0
69.5 15 21 44.5 1 3 19.5
69.0 26 29 44.0 2 4 19.0
68.5 25 17 43.5 1 4 18.5
68.0 22 13 43.0 1 6 18.0
67.5 23 23 42.5 4 17.5
67.0 13 13 42.0 4 7 17.0
66.5 26 35 41.5 2 3 16.5
66.0 14 27 41.0 1 2 16.0
65.5 15 24 40.5 2 2 15.5
65.0 42 25 40.0 1 15.0
64.5 13 19 39.5 3 2 14.5
64.0 19 19 39.0 1 4 14.0
63.5 11 12 38.5 2 13.5
63.0 14 16 38.0 1 2 13.0
62.5 14 19 37.5 12.5
62.0 9 17 37.0 1 3 12.0 1
61.5 13 14 36.5 1 3 11.5
61.0 14 13 36.0 5 6 11.0
60.5 13 17 35.5 2 10.5
60.0 21 30 35.0 10.0
59.5 11 10 34.5 9.5
59.0 14 23 34.0 1 1 9.0
58.5 12 8 33.5 1 8.5
58.0 13 13 33.0 1 8.0
57.5 6 12 32.5 4 7.5
57.0 11 14 32.0 1 7.0
56.5 14 12 31.5 6.5
56.0 11 8 31.0 2 6.0 1
55.5 5 5 30.5 5.5
55.0 7 7 30.0 3 4 5.0
54.5 8 7 29.5 2 4.5
54.0 17 23 29.0 4.0
53.5 11 11 28.5 3.5
53.0 9 12 28.0 3.0
52.5 5 13 27.5 2.5
52.0 8 7 27.0 1 2.0
51.5 2 7 26.5 1.5
51.0 7 6 26.0 1 1.0
50.5 8 11 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for California
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
144.0 1
143.0 1 1
139.5 1
138.0 1 1
137.0 1 1 1 1
136.0 1 2
134.5 1 2 2
133.5 1 2 1
132.5 1 1 1
131.0 4 2 1
130.0 1 1
129.0 1 1 2
126.5 1 1 1 2
126.0 1
125.5 2
125.0 1 1
124.0 2
123.0 1 1 1 3
122.0 1 4 2 1
121.5 1 2
120.5 3 2
119.5 2 2 5 3
119.0 1
118.5 1 3 6 3
118.0 1 4
117.0 3 2
116.0 1 6 8
115.5 1
115.0 2 9 5 1
114.5 1 3 1
113.5 4 7
113.0 1 1
112.5 2 3 13 14
112.0 1
111.5 1 12 10
111.0 3
110.0 5 5
109.0 4 3 14 16 2
108.5 3 2
108.0 1 5 19 18 2
107.5 1 1 8 5
106.5 1 4 7 15 1
106.0 1 2
105.5 1 7 23 35 1
105.0 2 2
104.5 1 3 35 21 2
104.0 1 7 10
103.5 1
103.0 1 1 2 17 17 2
102.5 2 2
102.0 3 10 43 40 4
101.5 1 9 4
101.0 3 12 54 45 3
100.5 1 1 13 18 1
100.0 2
99.5 5 39 28 1
99.0 3 1
98.5 4 7 51 39 2
98.0 5 5 2
97.5 4 16 13
97.0 1 24 6 1
96.5 1 1 2 1
96.0 1 3 40 34 7
95.5 1 4 4
95.0 5 16 73 66 4
94.5 4 9 11 3
94.0 1 3 16 16 1
93.5 1 6 28 21 4
93.0 1 1 1
92.5 5 9 50 41 1
92.0 1 2 9 8
91.5 3 8 27 35 4
91.0 1 6 14 18
90.5 2 3 17 13 1
90.0 4 8 29 45 6
89.5 3 2
89.0 1 5 17 90 57 5
88.5 2 13 5
88.0 4 6 35 28 1
87.5 1 2 25 19 2
87.0 4 3 17 11 1
86.5 2 12 38 47 3
86.0 4 8 6
85.5 10 40 26 1 1
85.0 3 6 7
84.5 3 8 35 27
84.0 3 8 44 35 1
83.5 3 3 20 14
83.0 3 13 73 60 3
82.5 3 13 9 1
82.0 2 11 47 32
81.5 1 4 18 13
81.0 3 5 33 18 3
80.5 1 4 41 29 1 2
80.0 2 3 19 12 1
79.5 2 7 35 25 4
79.0 2 18 10 1
78.5 3 9 36 32 3
78.0 1 1 35 21 1
77.5 2 3 32 30 2
77.0 5 19 56 50 5
76.5 2 4 18 9 1
76.0 2 7 34 31 1
75.5 2 21 13 1
75.0 4 4 35 20 4
74.5 3 5 34 21 3
74.0 1 17 19 2
73.5 4 8 25 25 1
73.0 1 4 19 12
72.5 3 2 32 30 1
72.0 10 19 20
71.5 3 7 31 21 3
71.0 3 7 57 24 4
70.5 1 4 13 14 3
70.0 2 4 26 25 1
69.5 2 14 21
69.0 1 6 4 28 17 2
68.5 3 5 21 14 1
68.0 2 4 23 9 1
67.5 1 3 23 19 1
67.0 3 15 9 1
66.5 3 6 41 12 2
66.0 3 5 22 14 2
65.5 1 2 22 18
65.0 2 2 38 25
64.5 2 1 21 9 2
64.0 1 7 18 13 1
63.5 2 16 6
63.0 1 18 13 2
62.5 2 2 20 10 1 2
62.0 3 14 9 1
61.5 2 18 8
61.0 4 15 9
60.5 2 1 18 10
60.0 1 6 25 22
59.5 1 1 11 9
59.0 4 5 23 10 1
58.5 12 9
58.0 3 16 7 2
57.5 1 13 5
57.0 2 20 5
56.5 3 1 13 10 2
56.0 1 15 3 1
55.5 1 4 5
55.0 2 8 5 1
54.5 1 1 12 1
54.0 2 1 23 15 3
53.5 2 3 4 13
53.0 1 1 15 7 1
52.5 11 7
52.0 9 6
51.5 6 5
51.0 1 1 8 3
50.5 2 1 11 5
50.0 1 1 8 4 1
49.5 8 8
49.0 1 9 6
48.5 6 4
48.0 1 3 16 9 2
47.5 1 3 1
47.0 1 4 1
46.5 5 1 1
46.0 8 2
45.5 7 4
45.0 1 7 4
44.5 3 1
44.0 1 4 1
43.5 4 1
43.0 1 5 1
42.5 1 2 1
42.0 6 5
41.5 2 1 3
41.0 1 1 1
40.5 1 2 1
40.0 1
39.5 1 1 4
39.0 2 3
38.5 1 1
38.0 4
37.5 1
37.0 2 2
36.5 1 3
36.0 1 1 5 4
35.5 2
34.0 1 1 1
33.5 2
33.0 1
32.5 3 1
32.0 1
31.0 1 1
30.0 6 2
29.5 2
27.0 2
26.0 1
24.5 2
24.0 2 3
22.0 1
12.0 1
6.0 1
American Mathematics Competitions
2005 AMC 12 A Results for California
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 0.05 0.06 0.15 9.44* 0.11 0.20 0.00
2 0.03 9.41* 0.14 0.28 0.03 0.10 0.00
3 0.37 5.06* 0.91 0.39 0.48 2.78 0.00
4 6.88* 0.31 2.60 0.07 0.05 0.09 0.00
5 0.18 7.32* 1.54 0.09 0.04 0.84 0.00
6 0.47 5.52* 0.25 0.27 0.73 2.75 0.00
7 0.45 0.17 7.58* 0.08 0.09 1.63 0.00
8 0.36 0.49 0.34 2.71* 0.19 5.91 0.00
9 4.43* 0.41 0.82 0.34 0.14 3.87 0.00
10 0.30 3.40* 0.21 0.54 0.10 5.45 0.00
11 0.98 0.40 0.34 0.47 3.50* 4.30 0.00
12 1.01 0.33 0.21 3.50* 1.26 3.69 0.00
13 0.12 0.21 0.41 3.18* 0.34 5.74 0.00
14 0.34 0.40 2.85 1.18* 0.42 4.81 0.00
15 0.32 0.42 1.51* 0.88 0.71 6.17 0.00
16 0.21 0.30 0.86 0.64* 0.33 7.66 0.00
17 1.88* 0.71 1.25 0.30 0.42 5.44 0.00
18 0.32* 0.39 0.26 0.25 0.23 8.55 0.00
19 0.78 2.03* 0.83 0.47 0.66 5.24 0.00
20 0.33 0.14 0.16 0.13 0.22* 9.01 0.00
21 0.35 0.41 0.49* 0.20 0.06 8.49 0.00
22 0.33 0.57* 0.24 0.26 0.15 8.45 0.00
23 0.44 0.55* 0.22 0.24 0.45 8.09 0.00
24 0.09 0.15* 0.14 0.22 0.05 9.35 0.00
25 0.28 0.20 0.17* 0.17 0.08 9.09 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 California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 2 100.0 1 1
149.5 124.5 99.5 15 6
149.0 124.0 1 99.0 7 4
148.5 123.5 98.5 12 15
148.0 123.0 6 1 98.0 21 8
147.5 122.5 1 97.5 5 3
147.0 122.0 1 97.0 15 7
146.5 121.5 1 96.5 6 1
146.0 121.0 96.0 15 9
145.5 120.5 2 95.5 11 5
145.0 120.0 95.0 12 17
144.5 119.5 3 3 94.5 10 8
144.0 1 2 119.0 5 94.0 7 4
143.5 118.5 1 93.5 24 14
143.0 2 118.0 2 1 93.0 12 4
142.5 117.5 92.5 19 15
142.0 117.0 11 3 92.0 12 14
141.5 116.5 91.5 15 13
141.0 116.0 3 1 91.0 14 16
140.5 1 115.5 3 1 90.5 3 8
140.0 115.0 3 90.0 25 23
139.5 1 114.5 5 89.5 10 10
139.0 114.0 1 2 89.0 20 20
138.5 113.5 6 3 88.5 14 6
138.0 3 113.0 2 88.0 12 12
137.5 112.5 3 1 87.5 19 15
137.0 1 112.0 2 3 87.0 8 11
136.5 111.5 3 2 86.5 21 26
136.0 111.0 2 4 86.0 19 14
135.5 110.5 1 85.5 17 18
135.0 110.0 13 5 85.0 21 15
134.5 109.5 1 1 84.5 12 15
134.0 109.0 4 3 84.0 18 22
133.5 1 108.5 7 3 83.5 10 9
133.0 108.0 2 2 83.0 20 28
132.5 1 107.5 9 2 82.5 12 12
132.0 1 107.0 2 1 82.0 17 11
131.5 106.5 6 5 81.5 13 23
131.0 1 106.0 4 81.0 19 12
130.5 105.5 5 4 80.5 22 23
130.0 2 105.0 12 3 80.0 18 15
129.5 104.5 3 2 79.5 18 22
129.0 2 104.0 19 10 79.0 22 17
128.5 1 103.5 1 78.5 5 12
128.0 103.0 8 7 78.0 15 24
127.5 1 102.5 8 3 77.5 13 9
127.0 102.0 6 17 77.0 14 19
126.5 4 101.5 10 6 76.5 12 15
126.0 2 1 101.0 3 3 76.0 18 20
125.5 6 100.5 14 9 75.5 12 14
American Mathematics Competitions
2005 AMC 10 B Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 10 12 50.0 4 4 25.0
74.5 22 19 49.5 2 9 24.5 1
74.0 13 15 49.0 3 7 24.0 8 1
73.5 14 18 48.5 4 6 23.5
73.0 8 16 48.0 12 8 23.0
72.5 15 13 47.5 2 5 22.5
72.0 18 19 47.0 2 6 22.0
71.5 12 7 46.5 2 6 21.5
71.0 13 24 46.0 1 4 21.0 1
70.5 12 12 45.5 8 20.5
70.0 17 15 45.0 3 6 20.0
69.5 4 17 44.5 2 2 19.5
69.0 15 6 44.0 1 8 19.0
68.5 14 16 43.5 1 4 18.5
68.0 10 9 43.0 1 7 18.0 4 1
67.5 11 19 42.5 1 2 17.5
67.0 7 8 42.0 9 10 17.0
66.5 11 14 41.5 2 3 16.5
66.0 13 27 41.0 1 16.0
65.5 10 11 40.5 2 1 15.5
65.0 9 13 40.0 2 5 15.0
64.5 5 15 39.5 1 1 14.5
64.0 5 9 39.0 4 2 14.0
63.5 10 15 38.5 3 4 13.5
63.0 9 8 38.0 1 3 13.0
62.5 11 16 37.5 3 3 12.5
62.0 8 10 37.0 12.0 1
61.5 5 17 36.5 1 3 11.5
61.0 13 11 36.0 3 7 11.0
60.5 5 15 35.5 2 4 10.5
60.0 21 19 35.0 1 2 10.0
59.5 7 8 34.5 1 2 9.5
59.0 5 8 34.0 9.0
58.5 2 10 33.5 1 8.5
58.0 10 11 33.0 2 8.0
57.5 5 11 32.5 1 3 7.5
57.0 3 14 32.0 7.0
56.5 6 11 31.5 3 1 6.5
56.0 5 9 31.0 1 6.0
55.5 7 6 30.5 1 2 5.5
55.0 8 9 30.0 3 2 5.0
54.5 3 10 29.5 1 4.5
54.0 11 19 29.0 1 4.0
53.5 5 7 28.5 2 3.5
53.0 1 6 28.0 1 3.0
52.5 4 6 27.5 2.5
52.0 7 9 27.0 1 3 2.0
51.5 4 9 26.5 1 1.5
51.0 1 11 26.0 2 1.0
50.5 4 5 25.5 2 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for California
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
144.0 1 1 1
143.0 2
140.5 1 1
139.5 1
138.0 1 2
137.0 1
133.5 1
132.5 1
132.0 1
131.0 1
130.0 2
129.0 1 1
128.5 1
127.5 1
126.5 1 2 2
126.0 1 2
125.5 1 1 4
125.0 1 1
124.0 1
123.0 5 2
122.5 1
122.0 1 1
121.5 1
120.5 1 1
119.5 1 1 5
119.0 1 2 2
118.5 1
118.0 1 2
117.0 9 5
116.0 2 3
115.5 1 2 1
115.0 1 2
114.5 3 2
114.0 1 2
113.5 1 3 5
113.0 2
112.5 2 3
112.0 3 2
111.5 2 3
111.0 2 4
110.5 1
110.0 8 10 1
109.5 2
109.0 2 5
108.5 1 4 5
108.0 1 3
107.5 1 4 8
107.0 1 2
106.5 2 9
106.0 1 2 1
105.5 5 5
105.0 7 8 1
104.5 2 4
104.0 1 11 19 1
103.5 1
103.0 2 6 9
102.5 1 1 2 8
102.0 15 8 1
101.5 7 9
101.0 3 3
100.5 1 9 14
100.0 2
99.5 9 13
99.0 1 6 6 1
98.5 1 12 14
98.0 1 1 13 15 1
97.5 1 5 3
97.0 4 19 3
96.5 2 6
96.0 1 12 13 2
95.5 7 12
95.0 2 10 17 2
94.5 1 7 13
94.0 1 2 3 6
93.5 1 1 2 16 22 1
93.0 2 3 11 1
92.5 1 16 21 1
92.0 2 12 14 1
91.5 1 1 4 11 13
91.0 1 1 10 25
90.5 8 5
90.0 3 17 30 1
89.5 7 15 1
89.0 1 1 18 23 2
88.5 1 8 13 2
88.0 2 6 16 1
87.5 10 27
87.0 1 5 13 2
86.5 1 24 25 1
86.0 2 10 21 3
85.5 1 1 22 14 2
85.0 1 20 20 2
84.5 1 13 14 1
84.0 1 17 25
83.5 1 9 10 1
83.0 2 22 25 3
82.5 1 7 18 3
82.0 1 11 16
81.5 1 1 22 13 1
81.0 1 2 20 13 1
80.5 17 28
80.0 2 13 22 2
79.5 2 20 20
79.0 1 1 21 20 2
78.5 10 7 2
78.0 1 20 20 3
77.5 1 12 11 1
77.0 15 21 3
76.5 1 20 11 1
76.0 1 1 28 10
75.5 12 13 2
75.0 2 9 13
74.5 1 20 20 3
74.0 1 1 10 19 1
73.5 15 18
73.0 13 12
72.5 1 16 12 2
72.0 1 3 17 16 1
71.5 11 11
71.0 26 12 3
70.5 1 12 10 2
70.0 2 21 12
69.5 1 11 11 2
69.0 13 9 2
68.5 1 1 19 9 4
68.0 1 12 7 1
67.5 1 17 13 1
67.0 1 10 5 2
66.5 11 15 3
66.0 17 23 2
65.5 1 1 12 9
65.0 1 16 9
64.5 5 15
64.0 1 6 9
63.5 17 9 1
63.0 1 9 7 1
62.5 1 17 12 1
62.0 1 10 7 2
61.5 1 11 10 2
61.0 13 11
60.5 1 10 8 3
60.0 1 21 19 1
59.5 13 3 2
59.0 1 5 8
58.5 7 6
58.0 1 9 10 1
57.5 1 6 9
57.0 10 7 4
56.5 9 7 1
56.0 8 7 1
55.5 2 8 4 1
55.0 10 7
54.5 6 7
54.0 1 1 20 11 4
53.5 1 5 6
53.0 1 6 1
52.5 7 3 1
52.0 1 9 7
51.5 5 7 1
51.0 1 2 9 1
50.5 1 6 5
50.0 3 6
49.5 6 3 2
49.0 7 3 1
48.5 5 5
48.0 16 6
47.5 5 2
47.0 4 5 1
46.5 3 5
46.0 1 2 2
45.5 3 5
45.0 5 4
44.5 4 1
44.0 1 9
43.5 1 3 1
43.0 5 3
42.5 2 2 2
42.0 8 11
41.5 2 3
41.0 1 1
40.5 2 1
40.0 4 3 2
39.5 1 1
39.0 1 2 3
38.5 1 3 3
38.0 4
37.5 1 1 4
36.5 1 3
36.0 4 7 2
35.5 3 2 1
35.0 1 1 1
34.5 2 1 1
33.5 1
33.0 1 1
32.5 2 2
32.0 1
31.5 4
31.0 1
30.5 1 2
30.0 1 4 1
29.5 1
29.0 1
28.5 1 1
28.0 1
27.0 4
26.5 1
26.0 1 1
25.5 2
24.5 1
24.0 2 6 3
21.0 1
18.0 1 3 1
12.0 1
American Mathematics Competitions
2005 AMC 10 B Results for California
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 8.48* 0.31 0.42 0.22 0.47 0.11 0.00
2 0.16 0.28 0.16 8.52* 0.30 0.57 0.00
3 0.03 0.66 2.09 5.79* 0.96 0.46 0.00
4 0.78 0.15 0.71 4.74* 0.26 3.36 0.00
5 0.16 0.09 8.44* 0.21 0.54 0.57 0.00
6 0.17 8.06* 0.29 0.36 0.30 0.81 0.01
7 0.97 1.82* 0.43 1.18 0.81 4.78 0.00
8 6.44* 0.21 1.00 0.05 0.11 2.18 0.00
9 0.54 0.68 1.90 4.88* 0.63 1.37 0.01
10 1.90* 0.93 0.69 0.37 0.40 5.71 0.00
11 0.31 0.60 0.27 1.73 1.87* 5.22 0.00
12 0.62 1.52 0.54 0.38 0.37* 6.57 0.00
13 0.58 0.59 1.80* 1.84 0.40 4.79 0.00
14 0.45 0.30 2.51* 1.80 0.48 4.45 0.00
15 1.38 0.65 0.87 4.01* 0.64 2.44 0.01
16 0.38 0.74 0.81 0.51* 0.13 7.43 0.00
17 0.52 2.97* 1.01 0.50 0.23 4.78 0.00
18 0.53 4.63 1.07 2.02* 0.51 1.25 0.00
19 0.54 5.36* 0.51 0.57 0.45 2.56 0.00
20 0.78 0.48 1.01* 0.40 0.33 7.00 0.00
21 0.36* 0.46 0.33 0.36 0.24 8.24 0.00
22 0.71 1.11 0.52* 0.25 0.32 7.11 0.00
23 2.81 0.58 0.60* 0.30 0.25 5.47 0.00
24 0.34 0.35 0.27 0.44 0.97* 7.61 0.00
25 0.34 0.34 3.24* 0.30 0.17 5.61 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 California
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 47 27
149.0 124.0 4 1 99.0 6
148.5 123.5 98.5 57 41
148.0 123.0 8 98.0 7 4
147.5 122.5 97.5 9 9
147.0 122.0 2 97.0 28 15
146.5 121.5 1 96.5 2 1
146.0 121.0 96.0 69 44
145.5 120.5 3 1 95.5 11 5
145.0 120.0 95.0 96 68
144.5 119.5 4 94.5 19 13
144.0 1 119.0 1 94.0 13 17
143.5 118.5 3 1 93.5 46 27
143.0 1 118.0 2 1 93.0 2
142.5 117.5 92.5 73 45
142.0 117.0 3 3 92.0 11 5
141.5 116.5 91.5 36 38
141.0 116.0 10 3 91.0 26 13
140.5 115.5 1 1 90.5 15 19
140.0 115.0 8 1 90.0 56 31
139.5 114.5 2 1 89.5 3 3
139.0 114.0 89.0 100 75
138.5 113.5 5 88.5 16 12
138.0 1 113.0 1 1 88.0 35 38
137.5 112.5 13 4 87.5 34 26
137.0 2 112.0 3 87.0 12 27
136.5 111.5 12 4 86.5 68 59
136.0 3 1 111.0 1 2 86.0 18 3
135.5 110.5 85.5 46 49
135.0 110.0 14 3 85.0 19 8
134.5 109.5 2 84.5 17 37
134.0 109.0 22 9 84.0 51 42
133.5 4 1 108.5 1 1 83.5 12 17
133.0 108.0 27 22 83.0 70 77
132.5 2 1 107.5 7 2 82.5 19 13
132.0 1 107.0 82.0 26 38
131.5 106.5 25 7 81.5 31 31
131.0 106.0 3 81.0 27 26
130.5 105.5 31 16 80.5 40 46
130.0 5 105.0 3 80.0 12 9
129.5 104.5 23 15 79.5 25 45
129.0 2 104.0 16 2 79.0 14 20
128.5 1 103.5 78.5 21 41
128.0 103.0 33 11 78.0 39 39
127.5 1 102.5 4 77.5 8 9
127.0 102.0 49 30 77.0 55 42
126.5 1 1 101.5 7 76.5 21 17
126.0 101.0 55 18 76.0 33 22
125.5 100.5 22 9 75.5 24 13
American Mathematics Competitions
2005 AMC 12 B Results for California
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 14 17 50.0 2 4 25.0
74.5 26 32 49.5 2 24.5
74.0 15 9 49.0 3 24.0
73.5 23 35 48.5 1 23.5
73.0 18 8 48.0 9 12 23.0 1
72.5 12 9 47.5 22.5
72.0 31 26 47.0 3 4 22.0 1
71.5 8 10 46.5 1 21.5
71.0 23 36 46.0 2 21.0
70.5 9 10 45.5 20.5
70.0 4 21 45.0 3 20.0
69.5 9 8 44.5 2 4 19.5
69.0 10 10 44.0 1 4 19.0
68.5 28 22 43.5 1 18.5
68.0 9 9 43.0 2 18.0
67.5 8 18 42.5 1 2 17.5
67.0 9 15 42.0 4 7 17.0
66.5 11 11 41.5 1 16.5
66.0 22 19 41.0 2 16.0
65.5 9 9 40.5 1 15.5
65.0 15 22 40.0 1 15.0
64.5 5 5 39.5 14.5
64.0 6 11 39.0 14.0
63.5 6 13 38.5 2 13.5
63.0 6 11 38.0 1 13.0
62.5 14 9 37.5 1 12.5
62.0 5 10 37.0 1 12.0 1
61.5 6 12 36.5 1 11.5
61.0 3 8 36.0 5 5 11.0
60.5 5 6 35.5 10.5
60.0 22 13 35.0 1 1 10.0
59.5 4 6 34.5 9.5
59.0 10 12 34.0 9.0
58.5 3 9 33.5 1 1 8.5
58.0 4 6 33.0 1 8.0
57.5 1 6 32.5 1 7.5
57.0 3 6 32.0 7.0
56.5 3 8 31.5 6.5
56.0 7 5 31.0 1 6.0
55.5 2 4 30.5 1 5.5
55.0 4 30.0 2 2 5.0
54.5 2 5 29.5 4.5
54.0 11 15 29.0 1 4.0
53.5 2 4 28.5 3.5
53.0 4 8 28.0 3.0
52.5 2 2 27.5 2.5
52.0 4 27.0 2.0
51.5 1 7 26.5 1.5
51.0 4 3 26.0 1.0
50.5 4 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for California
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
144.0 1
143.0 1
138.0 1
137.0 2
136.0 1 1 2
133.5 1 3 1
132.5 1 2
132.0 1
130.0 1 3 1
129.0 1 1
128.5 2
127.5 1
126.5 4
125.0 1
124.0 1 1 2 1
123.0 1 4 3
122.0 1 1
121.5 1
120.5 3 1
120.0 1
119.5 1 4
119.0 1
118.5 1 2 1 1
118.0 2 1 1
117.0 1 5
116.0 4 2 6 1
115.5 1 1
115.0 1 3 5
114.5 1 1 1
113.5 1 3 1
113.0 1 1
112.5 1 1 9 6
112.0 1 1 2
111.5 1 12 4
111.0 1 2
110.0 2 1 7 7
109.5 1 1
109.0 1 2 5 12 12 1
108.5 2
108.0 2 6 23 17 4
107.5 1 2 6
107.0 1
106.5 3 5 12 14
106.0 1 1 1
105.5 1 3 2 16 25
105.0 1 2
104.5 1 9 14 16
104.0 1 2 10 10 1
103.0 1 23 22 2
102.5 2 2
102.0 1 1 1 8 30 40 1
101.5 1 1 3 2
101.0 1 15 25 34 1
100.5 1 1 14 15 1
99.5 3 7 32 34
99.0 1 2 4
98.5 1 5 6 43 43 1
98.0 1 5 5
97.5 1 7 9 1
97.0 5 24 15 1
96.5 2 1
96.0 3 8 67 39 2
95.5 1 1 7 8
95.0 1 5 24 71 66 5
94.5 1 4 17 12
94.0 3 6 10 11 1
93.5 1 4 12 29 29
93.0 1 1
92.5 3 11 71 37 1
92.0 1 11 6
91.5 3 3 29 43 1
91.0 2 3 21 15
90.5 3 5 17 11
90.0 1 2 8 45 37 3
89.5 1 2 3
89.0 1 6 29 87 55 3
88.5 4 5 11 9
88.0 11 7 41 21 1
87.5 2 7 30 21 3
87.0 2 3 23 12
86.5 1 16 62 50 4
86.0 1 5 10 6
85.5 5 8 52 31 3
85.0 2 11 14 1
84.5 5 4 34 13 1
84.0 1 1 6 62 29 1
83.5 1 7 12 9
83.0 2 4 22 71 53 3
82.5 4 18 10
82.0 7 7 34 20 1
81.5 1 9 35 19 3
81.0 4 6 33 10 3
80.5 2 16 52 22 3
80.0 1 12 9 1
79.5 3 3 34 30 1
79.0 1 7 14 14 1
78.5 6 9 31 18 1
78.0 1 6 51 24 2
77.5 2 7 7 1
77.0 5 18 47 32 1
76.5 2 2 23 13 1
76.0 4 6 32 17 1
75.5 2 5 19 13
75.0 1 4 20 7
74.5 1 2 8 33 18 2
74.0 2 2 12 11
73.5 4 6 33 16
73.0 1 5 15 8
72.5 2 1 14 5
72.0 2 4 34 21 1
71.5 1 3 9 6
71.0 2 6 34 17
70.5 1 1 6 12 1
70.0 1 1 11 12
69.5 3 11 4
69.0 1 1 2 8 6 2
68.5 3 4 28 15 1
68.0 2 9 8
67.5 1 17 10
67.0 1 4 15 5
66.5 2 3 11 6
66.0 6 20 17
65.5 1 3 11 4
65.0 1 3 24 10
64.5 2 7 2
64.0 2 10 6
63.5 2 10 8
63.0 3 8 6
62.5 2 13 8 3
62.0 1 10 4
61.5 1 13 7 1
61.0 3 2 6 1 1
60.5 2 1 6 2
60.0 1 4 17 13
59.5 6 5
59.0 2 2 14 5
58.5 1 1 8 2
58.0 1 6 3
57.5 3 4
57.0 4 4 3
56.5 2 7 2
56.0 1 5 6
55.5 4 2 1
55.0 1 2 1
54.5 3 5
54.0 5 14 6 1
53.5 1 1 1 3
53.0 1 9 4
52.5 1 3 1
52.0 3 1
51.5 1 3 4 1
51.0 1 2 4 1
50.5 1 3 3
50.0 1 1 3 1
49.5 2 1
49.0 1 1 1
48.5 1
48.0 2 5 11 5
47.5 1
47.0 1 3 3 1
46.5 1
46.0 2 1
45.0 1 2 1
44.5 3 2 1
44.0 2 1 2
43.5 1 1 1
43.0 1 1
42.5 1 1 1
42.0 1 1 7 2
41.5 1
41.0 1 1
40.5 1
40.0 1
38.5 1 1
38.0 1
37.5 1
37.0 1
36.5 1
36.0 5 4 1
35.0 1 1
33.5 2
33.0 1
32.5 1
31.0 1
30.5 1
30.0 1 1 2
29.0 1
24.0 1
23.0 1
22.0 1
12.0 1
American Mathematics Competitions
2005 AMC 12 B Results for California
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 9.24* 0.16 0.30 0.11 0.15 0.05 0.00
2 0.08 0.10 0.06 9.41* 0.11 0.24 0.00
3 0.07 0.06 9.15* 0.13 0.28 0.32 0.00
4 0.12 8.97* 0.14 0.20 0.16 0.41 0.00
5 8.52* 0.06 0.53 0.03 0.03 0.84 0.00
6 3.53* 0.83 0.55 0.30 0.23 4.56 0.00
7 0.98 1.42 0.19 2.91* 0.57 3.93 0.00
8 1.06 1.48 4.79* 0.05 0.87 1.75 0.00
9 0.30 7.85* 0.32 0.29 0.24 0.99 0.00
10 0.18 0.48 0.17 1.86 3.64* 3.68 0.00
11 1.20 1.14 0.77 3.87* 0.39 2.64 0.00
12 0.30 0.59 0.86 1.03* 0.09 7.12 0.00
13 0.44 0.29 0.27 2.18* 0.19 6.62 0.00
14 0.72 0.96 0.75 0.37 1.16* 6.04 0.00
15 0.53 0.26 0.35 4.70* 0.39 3.77 0.00
16 0.25 0.25 0.79 0.65* 0.19 7.88 0.00
17 0.38 0.55* 0.23 0.14 0.61 8.08 0.00
18 1.31 0.45 0.51* 0.34 0.25 7.14 0.00
19 0.25 0.18 0.20 0.26 1.92* 7.20 0.00
20 0.07 0.26 4.34* 0.68 1.67 2.98 0.00
21 0.18 0.24 0.47* 0.30 0.17 8.65 0.00
22 0.39 0.67 0.14 0.14 0.12* 8.54 0.00
23 0.11 0.21* 0.15 0.12 0.09 9.32 0.00
24 0.22* 0.19 0.29 0.22 0.19 8.88 0.00
25 0.19* 0.27 0.19 0.21 0.30 8.85 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column