American Mathematics Competitions
2008 AMC 10 A Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 5187
Number of unofficial participants: 49
Average score of participants: 59.8
Average score for female students is: 53.7 ( 1827 Students)
Average score for male students is: 64.3 ( 2146 Students)
Average score for unspecified gender is 60.7 ( 1214 Students)
Average score for grade 10 is: 59.5 ( 2312 Students)
Average score for grade 9 is: 56.8 ( 1916 Students)
Average score for grade 8 and below is: 78.2 ( 361 Students)
Average score with unknown grade: 58.9 ( 598 Students)
AIME qualifying score = 117.0 or better
Number of AIME qualifers 98
Number of schools returning results 183
Average school winning score 96.15
American Mathematics Competitions
2008 AMC 12 A Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 5626
Number of unofficial participants: 37
Average score of participants: 69.2
Average score for female students is: 63.5 ( 1863 Students)
Average score for male students is: 72.4 ( 2775 Students)
Average score for unspecified gender is 71.1 ( 988 Students)
Average score for grade 13 is: 87.0 ( 1 Student)
Average score for grade 12 is: 69.5 ( 2097 Students)
Average score for grade 11 is: 67.7 ( 2587 Students)
Average score for grade 10 is: 73.2 ( 463 Students)
Average score for grade 9 is: 72.3 ( 133 Students)
Average score for grade 8 and below is: 91.0 ( 12 Students)
Average score with unknown grade: 71.3 ( 333 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 451
Number of schools returning results 197
Average school winning score 100.83
Average school team score 268.85
American Mathematics Competitions
2008 AMC 10 B Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3973
Number of unofficial participants: 0
Average score of participants: 67.7
Average score for female students is: 62.4 ( 1650 Students)
Average score for male students is: 72.8 ( 1869 Students)
Average score for unspecified gender is 66.3 ( 454 Students)
Average score for grade 10 is: 66.3 ( 1747 Students)
Average score for grade 9 is: 62.8 ( 1521 Students)
Average score for grade 8 and below is: 87.0 ( 544 Students)
Average score with unknown grade: 64.5 ( 161 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 126
Number of schools returning results 127
Average school winning score 102.77
American Mathematics Competitions
2008 AMC 12 B Results for California
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4601
Number of unofficial participants: 0
Average score of participants: 69.9
Average score for female students is: 65.0 ( 1687 Students)
Average score for male students is: 74.2 ( 2219 Students)
Average score for unspecified gender is 68.1 ( 695 Students)
Average score for grade 13 is: 54.8 ( 2 Students)
Average score for grade 12 is: 70.5 ( 1522 Students)
Average score for grade 11 is: 69.2 ( 2071 Students)
Average score for grade 10 is: 72.6 ( 497 Students)
Average score for grade 9 is: 66.1 ( 261 Students)
Average score for grade 8 and below is: 86.1 ( 56 Students)
Average score with unknown grade: 66.9 ( 192 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 379
Number of schools returning results 154
Average school winning score 99.68
Average school team score 264.98
2008 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
429.0 1 1
427.5 1 2
420.0 1 3
405.0 1 4
403.5 1 5
397.5 1 6
394.5 1 7
391.5 1 8
390.0 2 1 9
388.5 1 12
387.0 1 13
385.5 2 14
379.5 1 16
375.0 1 17
372.0 2 18
370.5 1 20
369.0 1 21
367.5 1 22
366.0 1 23
363.0 1 24
361.5 1 25
360.0 2 26
355.5 2 1 28
354.0 1 31
352.5 1 32
346.5 1 33
345.0 1 34
342.0 1 35
340.5 1 36
339.0 4 37
337.5 1 41
336.0 1 1 42
334.5 3 44
333.0 1 1 47
330.0 3 1 49
328.5 2 4 53
327.0 1 1 59
325.5 1 1 61
324.0 1 2 63
321.0 1 66
319.5 2 67
318.0 2 2 69
316.5 2 73
315.0 2 2 75
313.5 2 2 79
312.0 1 1 83
310.5 5 3 85
309.0 2 1 93
307.5 2 1 96
306.0 2 1 99
304.5 2 2 102
303.0 3 2 106
301.5 1 1 111
300.0 2 1 113
298.5 3 1 116
297.0 3 1 120
295.5 3 124
294.0 2 2 127
292.5 1 131
291.0 3 3 132
289.5 2 1 138
288.0 2 1 141
286.5 2 144
285.0 4 146
283.5 2 1 150
282.0 3 1 153
280.5 1 2 157
279.0 2 1 160
277.5 4 2 163
276.0 3 1 169
274.5 3 3 173
273.0 1 2 179
271.5 2 3 182
270.0 2 1 187
268.5 2 2 190
267.0 1 194
265.5 3 195
264.0 2 2 198
262.5 4 202
261.0 3 206
259.5 2 209
258.0 2 211
256.5 2 1 213
255.0 2 216
253.5 2 2 218
252.0 4 1 222
250.5 2 2 227
249.0 3 231
247.5 1 2 234
246.0 1 1 237
244.5 1 2 239
243.0 1 3 242
241.5 1 3 246
240.0 1 1 250
237.0 3 252
235.5 5 255
234.0 2 1 260
232.5 2 263
231.0 3 2 265
229.5 1 1 270
228.0 3 1 272
225.0 2 2 276
223.5 1 280
222.0 5 1 281
220.5 2 1 287
219.0 2 290
217.5 2 292
216.0 1 1 294
214.5 2 296
213.0 1 1 298
211.5 1 2 300
208.5 1 303
207.0 1 304
205.5 1 305
204.0 1 306
202.5 1 307
192.0 2 308
189.0 1 2 310
187.5 1 313
186.0 1 314
183.0 2 1 315
177.0 1 318
172.5 1 2 319
166.5 1 322
165.0 1 323
162.0 1 324
160.5 1 325
159.0 2 326
150.0 1 328
148.5 1 329
139.5 1 330
136.5 1 331
115.5 1 332
114.0 1 333
108.0 1 334
102.0 2 335
99.0 1 1 337
93.0 2 339
88.5 1 341
87.0 1 342
85.5 2 343
84.0 1 345
82.5 1 346
78.0 1 347
72.0 1 348
67.5 1 349
2008 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 1 2
145.5 1 4 1
144.0 3 6 2
141.0 2 1 2 1
139.5 1 1
138.0 3 2 7 7
136.5 6 1 1
135.0 3 2 10
133.5 1 1 2
132.0 2 6 3 16
130.5 4 4 2 4
129.0 2 1 3 5
127.5 6 9 8 6
126.0 10 7 13 19
124.5 4 1 8 3
123.0 6 5 3 8
121.5 2 4 10 11
120.0 8 4 13 29
118.5 8 5 5 14
117.0 8 6 8 14
115.5 12 12 15 19
114.0 17 16 17 31
112.5 12 8 11 12
111.0 17 4 12 28
109.5 18 21 12 18
108.0 38 31 19 38
106.5 28 20 16 23
105.0 27 25 16 26
103.5 45 26 18 16
102.0 29 19 29 36
100.5 55 73 20 19
99.0 45 45 30 26
97.5 29 18 36 35
96.0 37 50 38 47
94.5 103 83 34 27
93.0 61 37 27 25
91.5 56 57 27 32
90.0 93 67 66 55
88.5 161 99 39 28
87.0 91 60 57 42
85.5 90 96 40 55
84.0 134 90 61 66
82.5 156 142 58 65
81.0 108 100 59 70
79.5 128 89 73 76
78.0 135 131 81 94
76.5 196 180 63 84
75.0 152 119 97 78
73.5 141 167 78 91
72.0 189 177 119 102
70.5 188 143 85 86
69.0 158 153 113 98
67.5 163 166 101 107
66.0 173 159 97 142
64.5 179 157 123 96
63.0 134 119 143 91
61.5 167 124 128 104
60.0 162 146 147 144
58.5 151 131 123 99
57.0 125 108 133 109
55.5 128 89 172 134
54.0 198 129 172 155
52.5 134 82 156 103
51.0 128 71 127 101
49.5 114 74 171 77
48.0 135 94 206 115
46.5 86 73 142 80
45.0 90 61 160 57
43.5 94 45 142 64
42.0 97 90 187 97
40.5 57 30 115 51
39.0 48 28 117 55
37.5 55 54 141 50
36.0 51 27 146 58
34.5 26 17 80 29
33.0 28 19 62 31
31.5 16 21 49 14
30.0 26 24 71 35
28.5 5 12 43 13
27.0 7 4 37 20
25.5 4 8 30 6
24.0 8 8 39 18
22.5 2 4 10 3
21.0 4 9 4
19.5 1 6 1
18.0 4 1 20 2
16.5 2 3
15.0 3
13.5 1 1 1
12.0 1 7 2
10.5 1
9.0 1
7.5 1
6.0 1 1 2
1
American Mathematics Competitions
2008 AMC 10 A Results for California
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
150.0 1
145.5 4 3 1
144.0 6 2 1 3
141.0 2 1 1
138.0 5 1 1 1 1 4
136.5 1 1
133.5 1 1
132.0 3 1 2
130.5 2 1 1
129.0 2 1 1 2
127.5 6 2 4 1 1
126.0 12 1 3 2 4 4
124.5 7 1 1 3 1 3
123.0 2 1 2 1
121.5 7 2 1 6 3
120.0 9 1 2 5 6
118.5 4 1 1 3
117.0 2 1 1 2 3 2
115.5 10 2 1 1 2 1 10
114.0 12 3 1 2 10 4
112.5 6 3 1 6 3 1
111.0 9 1 1 1 2 2 6
109.5 9 2 5 3 4
108.0 7 5 1 1 4 3 8 2
106.5 9 4 2 6 5 3
105.0 10 2 1 3 11 1
103.5 9 4 3 5 1 7 2
102.0 17 5 1 3 3 7 14 1
100.5 11 5 1 2 3 11 3
99.0 14 8 2 6 5 13 4
97.5 17 7 1 1 6 7 16 5
96.0 19 5 1 2 10 16 9
94.5 15 8 3 6 8 12 5
93.0 16 7 1 3 9 13 1
91.5 20 4 2 1 2 4 17 1
90.0 36 12 1 6 6 19 29 5
88.5 18 12 4 3 13 15 4
87.0 28 17 3 6 17 25 6
85.5 19 9 1 5 7 20 7
84.0 33 8 1 5 15 28 12
82.5 28 13 1 7 17 27 6
81.0 21 18 2 2 4 18 29 4
79.5 36 18 1 1 3 26 35 7
78.0 37 24 2 3 4 21 43 8
76.5 28 12 2 2 14 34 11
75.0 42 26 1 5 36 40 15
73.5 37 20 2 5 26 34 11
72.0 55 33 1 3 10 34 56 15
70.5 37 27 1 6 32 37 9
69.0 57 29 1 5 44 47 16
67.5 49 28 1 1 7 34 46 12
66.0 47 28 1 7 37 36 16
64.5 59 39 3 1 4 45 59 11
63.0 57 51 1 3 57 65 17
61.5 56 37 2 2 4 46 57 17
60.0 62 38 1 2 5 59 58 22
58.5 48 47 1 2 44 58 18
57.0 63 49 2 4 38 77 12
55.5 74 59 2 1 4 70 69 26
54.0 59 65 2 1 8 73 63 25
52.5 54 63 4 63 69 20
51.0 56 50 1 1 1 58 56 10
49.5 70 65 1 1 4 77 66 22
48.0 83 73 1 1 5 85 100 14
46.5 53 62 1 4 66 58 13
45.0 52 77 2 5 57 81 15
43.5 47 67 3 66 54 19
42.0 71 88 3 64 105 15
40.5 37 56 1 1 48 49 16
39.0 30 57 1 2 46 51 17
37.5 30 71 1 2 56 60 22
36.0 42 72 1 3 65 61 16
34.5 26 34 1 1 33 38 7
33.0 21 33 1 28 30 3
31.5 10 31 1 22 23 3
30.0 22 29 1 30 32 8
28.5 18 15 1 17 21 4
27.0 8 19 2 11 18 6
25.5 11 12 1 14 12 3
24.0 11 21 1 18 15 5
22.5 3 3 5 3 2
21.0 3 6 5 3 1
19.5 3 2 1 3 1 1
18.0 8 9 2 10 7 1
16.5 1 1 1
15.0 1 2 1 2
13.5 1
12.0 4 2 2 5
10.5 1 1
9.0 1 1
6.0 1 1 2
1 1
American Mathematics Competitions
2008 AMC 10 A Results for California
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.77 0.67 6.46 85.60* 4.09 1.39 0.02
2 47.21* 20.32 23.17 1.23 1.18 6.88 0.00
3 76.06* 3.22 3.37 1.25 2.29 13.80 0.00
4 3.61 6.79 62.52* 7.75 3.76 15.58 0.00
5 5.67 41.76* 4.45 5.34 3.34 39.44 0.00
6 2.97 3.34 3.70 22.75* 39.70 27.55 0.00
7 42.26 3.07 7.02 2.56 19.26* 25.83 0.00
8 45.00* 6.75 2.20 25.93 2.35 17.78 0.00
9 2.02 34.61* 13.67 27.18 8.44 14.02 0.06
10 1.43 36.03 8.42 0.64 44.03* 9.43 0.02
11 5.38 4.47 5.96 59.57* 9.70 14.86 0.06
12 9.72 3.64 35.51* 10.04 6.11 34.97 0.00
13 14.13 28.73 11.07 29.46* 1.66 14.94 0.02
14 3.97 7.44 6.02 24.16* 4.13 54.29 0.00
15 2.60 3.95 21.48 25.47* 6.94 39.56 0.00
16 3.39 12.80* 7.13 17.12 7.94 51.53 0.08
17 7.54 11.22* 6.42 5.90 3.95 64.97 0.00
18 3.97 6.90* 5.17 4.67 3.14 76.15 0.00
19 4.22 6.17 12.57* 3.99 5.90 67.13 0.02
20 2.80 5.22 14.32 6.54* 2.26 68.86 0.00
21 12.67* 25.68 4.68 4.51 2.54 49.91 0.00
22 6.69 5.01 20.59 21.61* 8.00 38.04 0.06
23 9.27 6.55* 7.56 5.17 2.01 69.44 0.00
24 8.39 8.85 8.08 8.44* 8.64 57.59 0.02
25 3.10 5.71 6.07* 3.99 4.40 76.73 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
2008 AMC 12 A Results for California
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
150.0 1 1
144.0 3 1 2
141.0 2 1 1
139.5 1 1
138.0 1 1 1 1 1
136.5 4 2 4
135.0 1 1 1 2
132.0 1 1 1
130.5 3 1 1 2 1
129.0 2 1 1
127.5 5 1 1 1 3 1
126.0 8 1 5 2 2
124.5 3 1 2 1
123.0 3 1 1 1 4
121.5 2 2
120.0 6 1 1 1 3 2 1
118.5 6 2 4 4
117.0 7 1 2 5
115.5 9 2 1 2 5 4
114.0 14 2 4 3 6 2
112.5 8 1 1 3 5 3
111.0 10 3 1 3 8 3 2
109.5 9 3 1 7 9 1
108.0 26 4 1 5 13 17 2
106.5 18 4 1 1 5 11 9 1
105.0 16 6 2 2 13 10
103.5 28 10 1 5 22 14 3
102.0 18 3 1 3 13 12
100.5 37 8 1 2 3 25 19 5
99.0 24 12 2 4 23 15 1
97.5 12 8 1 4 9 9 6
96.0 23 6 3 2 12 16 4
94.5 68 18 1 7 51 38 6
93.0 36 15 9 26 20 6
91.5 37 10 3 5 29 16 3
90.0 59 18 10 44 31 8
88.5 89 32 5 16 53 73 14
87.0 43 24 4 6 36 37 1 7
85.5 49 20 12 39 32 7
84.0 64 38 1 14 51 52 16
82.5 93 35 1 6 11 65 70 3
81.0 56 31 2 11 46 40 9
79.5 69 40 1 3 4 62 52 6
78.0 76 32 2 14 59 49 11
76.5 115 44 10 16 81 76 13
75.0 76 52 3 17 74 49 9
73.5 72 41 1 16 55 58 11
72.0 96 60 2 12 80 85 10
70.5 96 55 4 15 89 66 14
69.0 84 48 2 11 80 55 10
67.5 78 59 1 6 12 72 65 7
66.0 89 56 3 17 88 61 4
64.5 85 72 5 14 87 64 9
63.0 66 45 4 10 54 59 7
61.5 63 68 6 16 71 65 9
60.0 76 64 1 12 74 71 4
58.5 61 66 3 9 84 45 10
57.0 48 49 2 11 58 45 9
55.5 52 61 1 10 64 46 7
54.0 83 82 2 22 100 64 10
52.5 70 47 3 9 68 49 5
51.0 49 56 3 9 64 43 9
49.5 45 48 4 7 60 35 8
48.0 60 55 3 8 70 47 7
46.5 36 40 4 6 48 26 2
45.0 35 44 1 4 48 33 4
43.5 30 48 1 2 6 47 34 4
42.0 36 52 2 4 49 38 4
40.5 20 27 1 5 18 28 5
39.0 17 24 1 3 20 23 1
37.5 18 27 2 5 31 11 6
36.0 21 19 3 1 31 16
34.5 6 16 13 9 4
33.0 14 13 1 15 11 1
31.5 7 6 5 10 1
30.0 9 11 12 12 2
28.5 2 3 2 3
27.0 1 5 3 4
25.5 3 1 1 3
24.0 4 3 7 1
22.5 1 1 1 1
19.5 1 1
18.0 1 2 2 2
13.5 1 1
6.0 1
American Mathematics Competitions
2008 AMC 12 A Results for California
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.30 0.52 4.89 89.99* 2.67 0.64 0.00
2 93.69* 3.45 0.37 0.07 2.06 0.36 0.00
3 2.86 3.91 79.38* 4.94 2.44 6.47 0.00
4 4.35 60.33* 4.23 6.70 2.44 21.95 0.00
5 0.73 52.10* 9.44 23.66 6.83 7.25 0.00
6 55.71* 4.07 1.49 29.77 1.53 7.43 0.00
7 4.66 3.31 4.41 71.60* 6.79 9.23 0.02
8 3.55 4.76 69.69* 2.58 10.40 8.99 0.02
9 2.63 7.50 4.96 46.53* 3.82 34.55 0.00
10 11.57 23.98 8.92 45.93* 1.08 8.50 0.02
11 4.35 5.28 65.68* 5.83 3.45 15.41 0.00
12 12.48 35.78* 6.22 6.99 6.01 32.49 0.04
13 5.53 25.15* 8.14 14.61 8.16 38.39 0.02
14 11.45* 6.40 3.48 5.97 2.83 69.85 0.02
15 11.41 8.30 11.62 13.49* 11.09 44.08 0.00
16 2.83 6.58 5.07 12.44* 1.49 71.60 0.00
17 1.58 4.98 5.90 8.96* 6.24 72.34 0.00
18 2.51 3.45 8.16* 1.96 6.17 77.76 0.00
19 2.74 7.71 8.39* 4.32 1.92 74.90 0.02
20 2.26 3.73 3.39 3.00 4.53* 83.06 0.02
21 4.66 5.21 4.80 9.28* 3.48 72.57 0.00
22 3.29 5.39 7.07* 5.21 4.92 74.10 0.02
23 1.80 3.18 2.42 3.64* 1.56 87.38 0.02
24 4.05 16.35 7.00 2.61* 6.15 63.81 0.02
25 2.26 3.27 4.34 5.55* 2.61 81.96 0.02
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2008 AMC 10 B Results for California
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
150.0 2 2
145.5 1 1
144.0 2 2
141.0 1 1
138.0 6 1 1 2 3
135.0 6 4 1 4 4 1
133.5 1 1 1 1
132.0 13 2 1 5 5 5
130.5 3 3 1
129.0 4 3 2
127.5 6 1 1 3 1
126.0 15 3 3 9 6 1
124.5 1 2 3
123.0 5 3 1 2 1 3 1
121.5 9 2 1 3 4 3
120.0 25 1 1 3 6 7 11 1
118.5 12 1 1 3 5 4 1
117.0 10 3 2 3 4 4 1
115.5 13 4 2 8 5 3 1
114.0 24 5 1 2 5 10 13
112.5 10 2 7 1 4
111.0 14 8 1 2 10 9 4 2
109.5 10 7 1 2 5 5 4 1
108.0 27 8 3 4 14 5 10 2
106.5 14 7 1 3 7 5 7
105.0 18 6 1 3 4 4 12 2
103.5 10 5 10 1 5
102.0 25 9 4 12 6 14
100.5 12 5 1 2 3 4 8 1
99.0 18 6 1 4 5 9 7
97.5 26 6 3 4 5 11 11 1
96.0 32 12 1 1 11 11 22 1
94.5 13 10 2 10 8 7
93.0 11 12 1 2 6 16
91.5 12 14 1 3 2 9 15 2
90.0 32 14 4 9 15 24 3
88.5 16 9 3 1 10 11 3
87.0 23 16 1 4 3 10 23 1
85.5 31 14 1 4 4 15 28 3
84.0 30 27 1 6 10 15 30 4
82.5 35 23 3 7 15 38 2
81.0 23 32 1 5 7 17 36 4
79.5 45 25 2 2 8 25 33 6
78.0 49 34 4 2 11 33 40 4
76.5 39 32 2 5 27 49 1
75.0 36 31 2 5 24 47
73.5 50 36 3 7 37 41 3
72.0 44 41 4 7 47 39 5
70.5 42 29 1 1 4 37 39 4
69.0 51 39 1 4 3 34 53 3
67.5 44 48 1 5 2 37 57 5
66.0 70 56 5 9 55 67 6
64.5 41 42 2 5 50 36 3
63.0 42 40 2 1 38 48 2
61.5 46 49 2 6 39 54 3
60.0 70 53 2 3 5 57 68 9
58.5 43 53 3 7 50 38 1
57.0 43 55 1 1 1 54 46 6
55.5 56 64 2 3 6 69 50 4
54.0 61 76 3 2 7 62 76 5
52.5 41 51 1 2 2 35 60 3
51.0 37 57 1 4 55 41
49.5 25 41 3 2 37 31 4
48.0 51 51 2 3 4 60 42 4
46.5 26 38 1 40 33 6
45.0 16 34 3 28 24 2
43.5 20 37 1 1 37 23 2
42.0 39 47 1 6 43 42 5
40.5 15 26 1 2 19 26 3
39.0 20 27 1 1 26 23 4
37.5 21 26 1 25 21 3
36.0 19 34 1 1 5 24 26 1
34.5 9 18 15 12 2
33.0 8 20 1 14 14 2
31.5 4 10 1 1 7 5
30.0 16 12 2 14 13 6
28.5 3 9 5 8
27.0 10 7 1 6 10 3
25.5 3 1 3 2
24.0 10 6 6 11 1
22.5 3 2 1
21.0 3 1 1 3
19.5 1 1
18.0 2 2
16.5 3 3
13.5 1 1
12.0 1 1 1 1
American Mathematics Competitions
2008 AMC 10 B Results for California
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 3.12 1.23 3.07 10.90 78.23* 3.42 0.03
2 6.67 75.28* 8.18 2.47 1.16 6.24 0.00
3 20.51 2.42 5.69 42.31* 4.58 24.47 0.03
4 10.77 13.16 62.50* 1.69 1.51 10.37 0.00
5 57.06* 5.44 2.24 2.04 3.85 29.37 0.00
6 5.26 3.40 48.28* 10.92 5.71 26.43 0.00
7 5.03 7.55 68.74* 4.88 3.52 10.24 0.03
8 1.99 7.65 58.97* 9.29 5.94 16.13 0.03
9 28.52* 5.84 5.64 9.09 7.60 43.32 0.00
10 27.11* 5.91 4.05 5.81 5.59 51.47 0.05
11 1.66 22.07* 5.91 10.09 3.78 56.48 0.00
12 76.62* 5.16 2.97 2.19 2.72 10.32 0.03
13 21.60 13.84* 8.21 3.27 5.36 47.72 0.00
14 10.52 40.35* 3.88 6.92 2.49 35.82 0.03
15 18.55* 8.38 6.42 6.67 4.35 55.63 0.00
16 28.22* 20.54 3.93 5.97 4.46 36.90 0.00
17 13.79 12.18* 25.47 9.72 7.27 31.56 0.00
18 5.76 23.63* 12.21 3.98 3.10 51.32 0.00
19 3.80 3.57 9.19 8.76 10.55* 64.13 0.00
20 7.93 43.52* 8.63 5.39 2.19 32.32 0.03
21 9.79 9.79 8.23* 6.70 5.44 60.06 0.00
22 12.11 8.58 22.88* 11.23 6.70 38.48 0.03
23 9.06 8.61* 7.15 8.68 3.00 63.45 0.05
24 7.05 8.16 11.55* 9.01 9.41 54.79 0.03
25 17.24 12.84* 8.76 4.51 4.23 52.40 0.03
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2008 AMC 12 B Results for California
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
145.5 1 1
141.0 1 1
139.5 1 1
138.0 2 2
136.5 1 1
135.0 1 1 1 1
133.5 1 1
132.0 3 1 4 1 1
130.5 3 2 2
129.0 1 1
127.5 8 1 1 1 4 3
126.0 6 1 1 1 5
124.5 1 1
123.0 4 1 1 2 1
121.5 3 2 1 1
120.0 3 1 2 1
118.5 4 1 1 3 1
117.0 3 1 1 1 1 2 1
115.5 10 1 1 3 2 2 1 2
114.0 14 1 2 7 6 1
112.5 8 1 1 6
111.0 3 1 1 1 2
109.5 10 9 5 12 4
108.0 22 3 1 2 5 14 7 2
106.5 14 3 1 2 4 7 6
105.0 17 6 1 1 4 8 9 2
103.5 17 6 3 6 9 7 1
102.0 11 6 1 1 3 11 3
100.5 53 14 1 3 17 28 23 1
99.0 27 10 2 5 3 20 12 3
97.5 10 5 1 1 4 5 6 1
96.0 27 13 1 5 5 17 18 4
94.5 55 20 1 2 4 11 35 29 1
93.0 23 11 1 1 1 1 5 19 8 1
91.5 38 11 1 1 6 22 25 2
90.0 39 21 2 2 10 24 27 2
88.5 65 23 1 2 8 43 45
87.0 32 20 1 1 2 5 25 24 2
85.5 53 30 1 1 4 15 34 37 4
84.0 46 29 1 6 10 38 29 6
82.5 80 39 2 1 6 16 49 63 5
81.0 47 41 1 1 7 44 46 1
79.5 43 26 2 15 34 33 5
78.0 78 35 2 5 13 69 39 3
76.5 98 58 5 16 87 66 6
75.0 66 36 1 5 6 47 54 6
73.5 93 41 1 7 17 85 50 1 6
72.0 90 64 4 2 9 18 91 46 7
70.5 77 50 2 4 6 86 45
69.0 75 59 6 15 80 46 6
67.5 74 63 10 19 76 52 9
66.0 75 61 1 7 18 73 51 9
64.5 79 58 1 1 15 16 73 46 5
63.0 43 51 10 11 52 40 6
61.5 43 57 7 9 53 47 8
60.0 61 64 1 11 10 64 54 6
58.5 48 63 1 7 24 61 35 3
57.0 44 43 5 10 59 30 4
55.5 35 42 6 7 39 32 5
54.0 46 58 1 8 22 50 41 7
52.5 32 39 5 5 40 29 3
51.0 27 29 8 8 38 16 1
49.5 18 42 2 5 31 30 6
48.0 40 37 6 11 47 25 5
46.5 34 33 1 2 7 37 23 3
45.0 23 25 7 9 26 16 3
43.5 12 26 4 1 22 15 3
42.0 32 47 1 10 9 41 24 5
40.5 7 16 4 4 8 12 2
39.0 9 14 6 2 13 6 1
37.5 15 31 5 4 25 16 4
36.0 10 14 1 3 14 7 1 1
34.5 3 11 3 6 6 2
33.0 3 11 2 2 5 8 2
31.5 7 12 1 2 9 8 1
30.0 7 14 2 4 11 7
28.5 1 7 2 1 8 1
27.0 2 2 1 1
25.5 2 6 1 1 3 3
24.0 1 5 1 5 2
22.5 2 3 1
21.0 2 2 1 2 1
18.0 1
12.0 1 1
7.5 1 1
6.0 1 1
American Mathematics Competitions
2008 AMC 12 B Results for California
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 2.02 0.78 2.46 8.98 84.09* 1.67 0.00
2 5.17 82.42* 6.41 1.65 1.26 3.09 0.00
3 6.80 8.78 77.72* 1.09 0.83 4.78 0.00
4 1.41 2.52 2.46 80.94* 2.02 10.63 0.02
5 1.96 5.98 70.38* 5.74 4.78 11.17 0.00
6 87.07* 4.00 1.80 1.02 1.76 4.33 0.02
7 78.55* 3.06 1.48 0.87 1.83 14.21 0.00
8 2.15 2.56 65.66* 8.00 4.63 17.00 0.00
9 37.40* 4.69 5.52 5.52 4.28 42.58 0.00
10 3.91 38.95* 10.98 4.54 3.69 37.93 0.00
11 16.43* 7.09 4.28 8.52 26.32 37.34 0.02
12 19.13 27.58* 8.11 3.54 6.93 34.69 0.02
13 2.80 19.00* 4.04 6.63 2.33 65.20 0.00
14 5.37 6.43 35.97* 6.76 4.39 41.06 0.02
15 2.65 5.22 11.19* 7.02 7.09 66.83 0.00
16 15.00 14.39* 6.89 7.45 1.72 54.53 0.02
17 4.22 4.74 7.11* 4.26 2.50 77.16 0.02
18 2.78 5.32 6.72 8.48 8.56* 68.14 0.00
19 5.00 6.26* 6.04 4.43 2.83 75.44 0.00
20 22.02 14.71* 7.48 3.96 3.78 48.03 0.02
21 2.96 3.63 5.19 4.76 3.69* 79.74 0.02
22 5.87 5.69 7.39 5.11 6.76* 69.16 0.02
23 4.61* 4.91 5.32 3.59 1.63 79.92 0.02
24 2.09 3.83 4.39* 3.35 1.48 84.87 0.00
25 2.43 4.13* 5.39 4.39 2.78 80.85 0.02
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column