American Mathematics Competitions
2008 AMC 10 A Results for Illinois
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3493
Number of unofficial participants: 40
Average score of participants: 55.6
Average score for female students is: 51.3 ( 1277 Students)
Average score for male students is: 58.9 ( 1555 Students)
Average score for unspecified gender is 56.2 ( 661 Students)
Average score for grade 10 is: 57.8 ( 1612 Students)
Average score for grade 9 is: 52.1 ( 1490 Students)
Average score for grade 8 and below is: 67.6 ( 98 Students)
Average score with unknown grade: 56.9 ( 293 Students)
AIME qualifying score = 117.0 or better
Number of AIME qualifers 23
Number of schools returning results 79
Average school winning score 92.51
American Mathematics Competitions
2008 AMC 12 A Results for Illinois
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4453
Number of unofficial participants: 59
Average score of participants: 66.6
Average score for female students is: 61.9 ( 1699 Students)
Average score for male students is: 70.0 ( 2064 Students)
Average score for unspecified gender is 67.9 ( 690 Students)
Average score for grade 13 is: 42.0 ( 1 Student)
Average score for grade 12 is: 68.9 ( 1753 Students)
Average score for grade 11 is: 64.3 ( 2051 Students)
Average score for grade 10 is: 66.9 ( 317 Students)
Average score for grade 9 is: 67.4 ( 70 Students)
Average score for grade 8 and below is: 86.0 ( 3 Students)
Average score with unknown grade: 68.6 ( 258 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 205
Number of schools returning results 88
Average school winning score 100.09
Average school team score 274.53
American Mathematics Competitions
2008 AMC 10 B Results for Illinois
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1454
Number of unofficial participants: 0
Average score of participants: 60.5
Average score for female students is: 56.7 ( 624 Students)
Average score for male students is: 64.4 ( 665 Students)
Average score for unspecified gender is 58.8 ( 165 Students)
Average score for grade 10 is: 62.1 ( 611 Students)
Average score for grade 9 is: 59.2 ( 749 Students)
Average score for grade 8 and below is: 78.1 ( 19 Students)
Average score with unknown grade: 55.4 ( 75 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 5
Number of schools returning results 35
Average school winning score 95.23
American Mathematics Competitions
2008 AMC 12 B Results for Illinois
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1296
Number of unofficial participants: 0
Average score of participants: 68.2
Average score for female students is: 64.3 ( 493 Students)
Average score for male students is: 72.3 ( 630 Students)
Average score for unspecified gender is 64.2 ( 173 Students)
Average score for grade 13 is: 88.5 ( 1 Student)
Average score for grade 12 is: 68.4 ( 515 Students)
Average score for grade 11 is: 67.4 ( 549 Students)
Average score for grade 10 is: 75.3 ( 125 Students)
Average score for grade 9 is: 77.0 ( 14 Students)
Average score for grade 8 and below is: 89.6 ( 4 Students)
Average score with unknown grade: 59.1 ( 88 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 99
Number of schools returning results 43
Average school winning score 101.69
Average school team score 262.12
2008 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
402.0 1 1
394.5 1 2
390.0 1 3
384.0 1 4
381.0 1 5
376.5 1 6
372.0 1 7
363.0 1 8
360.0 2 9
354.0 1 11
349.5 1 12
345.0 2 1 13
343.5 1 16
340.5 1 17
336.0 1 1 18
334.5 2 20
333.0 1 22
324.0 1 23
321.0 1 24
319.5 1 25
313.5 2 26
312.0 1 28
309.0 2 29
307.5 1 31
306.0 1 1 32
304.5 1 1 34
303.0 1 36
301.5 1 37
300.0 2 1 38
297.0 2 41
295.5 2 43
294.0 1 45
292.5 2 1 46
291.0 1 49
289.5 1 1 50
288.0 1 52
286.5 4 2 53
283.5 2 59
282.0 2 61
280.5 1 63
279.0 1 64
277.5 1 1 65
276.0 1 1 67
274.5 2 69
273.0 1 71
271.5 1 1 72
268.5 1 74
267.0 2 2 75
265.5 3 1 79
264.0 1 83
262.5 1 1 84
261.0 1 86
259.5 2 87
258.0 1 89
256.5 1 90
255.0 1 1 91
252.0 1 93
249.0 1 94
247.5 1 95
243.0 1 96
240.0 1 1 97
238.5 2 99
234.0 2 101
229.5 1 103
226.5 1 104
225.0 1 1 105
223.5 1 107
222.0 1 108
217.5 1 109
216.0 1 110
210.0 1 111
208.5 1 112
207.0 1 113
202.5 1 114
195.0 1 115
193.5 1 116
189.0 1 117
184.5 1 118
183.0 2 119
180.0 1 121
178.5 1 122
177.0 1 123
157.5 1 124
141.0 1 125
130.5 1 126
129.0 1 127
103.5 1 128
102.0 1 129
100.5 1 130
2008 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 1
145.5 1
141.0 1 1
138.0 1 1 2 1
135.0 1 1
133.5 1
132.0 1 1
130.5 4 2 1
129.0 3
127.5 5 1 3
126.0 2 3 1
124.5 1 2 3
123.0 4 1 1 3
121.5 6 3 2 1
120.0 2 4 3
118.5 3
117.0 5 1 3 4
115.5 2 3 1
114.0 3 4 3 2
112.5 7 2 4
111.0 5 2 5 6
109.5 7 2 1 6
108.0 13 2 5 2
106.5 9 2 9 2
105.0 9 7 5 3
103.5 13 9 13 5
102.0 23 10 7 5
100.5 22 17 7 1
99.0 25 10 9 3
97.5 26 13 5 3
96.0 58 4 17 4
94.5 59 18 16 5
93.0 40 8 13 8
91.5 42 9 13 5
90.0 48 16 28 15
88.5 84 19 19 13
87.0 63 16 18 13
85.5 86 14 22 13
84.0 90 22 29 19
82.5 86 41 23 12
81.0 101 15 31 16
79.5 109 30 37 15
78.0 124 33 48 25
76.5 128 47 43 29
75.0 97 35 47 32
73.5 101 37 54 32
72.0 133 44 71 49
70.5 140 49 49 25
69.0 136 48 71 51
67.5 138 58 79 52
66.0 170 44 88 50
64.5 174 49 99 35
63.0 154 40 88 33
61.5 121 51 89 41
60.0 158 35 110 68
58.5 140 47 96 55
57.0 144 35 106 59
55.5 126 37 116 65
54.0 178 46 150 64
52.5 121 31 128 58
51.0 133 21 123 45
49.5 97 28 109 51
48.0 105 34 145 54
46.5 73 21 115 29
45.0 88 10 118 34
43.5 54 16 108 24
42.0 74 21 120 38
40.5 48 13 103 19
39.0 43 11 94 27
37.5 39 10 85 17
36.0 37 11 94 27
34.5 25 3 55 13
33.0 15 3 49 11
31.5 14 5 49 9
30.0 23 4 61 17
28.5 5 31 6
27.0 4 3 30 6
25.5 2 1 22 3
24.0 9 1 29 1
22.5 17
21.0 1 8 3
19.5 1 8 1
18.0 5 1 9 3
16.5 2 3
15.0 1
13.5 2 1
12.0 1 5 2
9.0 2
7.5 1
6.0 2 2 1
1 1
American Mathematics Competitions
2008 AMC 10 A Results for Illinois
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
150.0 1
138.0 2 2
135.0 1 1
133.5 1 1
132.0 1 1
130.5 1 1
127.5 2 1 2
126.0 1 1
124.5 3 2 1
123.0 1
121.5 2 1 1
120.0 1 1 1 1
117.0 1 1 1 2
115.5 2 1 2 1
114.0 3 1 2
112.5 4 3 1
111.0 2 2 3 2
109.5 1 1
108.0 4 1 1 1 3
106.5 7 3 2 2 2
105.0 5 1 4
103.5 6 3 5 5 3
102.0 3 1 2 3 2
100.5 2 7
99.0 5 2 2 6 1
97.5 2 2 2 1
96.0 11 5 8 9
94.5 9 2 3 12 1
93.0 6 4 5 8
91.5 7 4 3 8 2
90.0 15 5 1 1 6 14 6
88.5 15 2 1 7 10 1
87.0 8 2 5 10 3
85.5 11 4 2 6 11 3
84.0 21 6 8 19 2
82.5 14 5 1 5 16 1
81.0 18 10 1 2 8 19 1
79.5 16 10 1 11 17 8
78.0 28 12 4 11 27 6
76.5 23 10 1 1 10 29 2
75.0 21 15 1 3 13 27 3
73.5 30 16 2 17 30 5
72.0 42 16 3 28 32 8
70.5 27 15 1 1 15 30 2
69.0 37 20 3 29 32 7
67.5 38 27 2 30 40 7
66.0 50 23 2 31 46 9
64.5 51 29 2 35 55 7
63.0 48 29 1 34 47 6
61.5 44 31 1 2 3 33 44 6
60.0 46 43 1 3 51 44 11
58.5 37 48 1 1 42 49 3
57.0 55 30 1 45 52 8
55.5 46 50 1 55 54 6
54.0 72 50 4 67 64 15
52.5 55 41 3 1 60 52 12
51.0 51 48 1 1 2 45 62 12
49.5 38 52 2 51 46 10
48.0 62 58 1 73 64 7
46.5 49 43 3 51 51 10
45.0 43 53 1 1 56 46 14
43.5 38 49 1 2 44 52 9
42.0 44 51 60 46 14
40.5 42 46 1 62 35 5
39.0 27 46 1 50 30 13
37.5 26 39 2 43 35 5
36.0 39 33 53 36 5
34.5 23 23 1 33 18 3
33.0 17 25 1 29 17 2
31.5 16 23 1 17 26 5
30.0 23 23 1 29 23 8
28.5 17 11 14 15 2
27.0 9 18 16 11 3
25.5 4 15 11 10 1
24.0 12 12 1 17 10 1
22.5 2 10 1 7 9
21.0 3 4 4 3 1
19.5 4 2 5 3
18.0 3 5 6 3
16.5 2 1 1
13.5 1 1
12.0 1 3 3 1 1
9.0 2 1 1
7.5 1 1
6.0 2 1 1
1 1
American Mathematics Competitions
2008 AMC 10 A Results for Illinois
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 1.89 0.83 8.02 85.00* 3.55 0.69 0.03
2 44.26* 19.18 26.14 1.80 1.03 7.53 0.06
3 73.69* 3.86 3.84 1.49 2.61 14.51 0.00
4 3.78 7.53 55.40* 9.36 4.90 19.01 0.03
5 6.96 34.73* 4.72 4.92 4.78 43.89 0.00
6 2.89 3.55 4.01 17.09* 44.69 27.77 0.00
7 48.96 3.64 5.81 2.78 10.65* 28.03 0.14
8 41.08* 7.62 3.03 26.71 2.83 18.72 0.00
9 2.29 28.37* 14.14 30.09 8.56 16.52 0.03
10 1.63 36.04 8.25 0.92 42.54* 10.59 0.03
11 5.75 3.89 6.36 59.32* 9.65 15.00 0.03
12 11.97 3.61 30.00* 11.05 4.92 38.45 0.00
13 14.86 31.49 9.88 24.13* 2.09 17.52 0.03
14 4.90 7.59 6.87 19.67* 4.12 56.83 0.03
15 3.01 3.66 26.77 21.82* 6.64 38.10 0.00
16 2.35 10.42* 5.70 16.72 6.99 57.77 0.06
17 7.39 9.88* 6.76 5.18 4.15 66.65 0.00
18 3.52 6.38* 4.90 5.15 2.81 77.24 0.00
19 5.18 6.01 8.93* 3.81 5.64 70.43 0.00
20 3.49 5.84 15.57 6.04* 2.09 66.96 0.00
21 11.37* 23.70 5.01 4.98 3.21 51.73 0.00
22 8.10 5.58 22.42 23.16* 8.85 31.89 0.00
23 11.65 6.87* 8.02 5.70 1.95 65.82 0.00
24 7.87 10.22 7.79 6.90* 8.30 58.92 0.00
25 3.09 6.30 4.90* 4.78 5.47 75.47 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 Illinois
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
150.0 1 1
145.5 1 1
141.0 1 1
138.0 1 1
135.0 1
132.0 1 1
130.5 1 3 2 2
129.0 2 1 1 2
127.5 4 1 1 2 2
126.0 1 1 1
124.5 1 1
123.0 3 1 1 2
121.5 5 1 5
120.0 2 2
118.5 2 1 1 2
117.0 4 1 1 1 3
115.5 1 1 1
114.0 3 1 1 1
112.5 7 1 4 2
111.0 3 2 1 4
109.5 5 2 1 1 5
108.0 8 7 4 2
106.5 7 1 6 2
105.0 4 3 1 3 4 1
103.5 8 5 1 4 8
102.0 18 2 1 2 10 9 1
100.5 16 2 2 11 8 1
99.0 13 6 1 10 12 2
97.5 14 8 1 1 8 14 2
96.0 33 15 3 2 21 29 3
94.5 44 8 6 19 31 3
93.0 23 9 1 3 14 17 5
91.5 22 9 1 11 25 5
90.0 29 9 1 3 14 25 5
88.5 49 23 1 3 3 35 36 6
87.0 38 15 1 8 17 34 3
85.5 55 15 2 9 35 33 7
84.0 46 23 6 31 43 10
82.5 45 23 2 5 33 39 7
81.0 47 41 6 54 36 5
79.5 46 46 1 12 39 54 3
78.0 70 36 1 4 57 58 4
76.5 76 27 7 55 60 6
75.0 52 31 1 9 49 34 4
73.5 45 34 1 7 47 37 9
72.0 65 48 1 2 14 61 49 6
70.5 76 48 1 8 63 63 5
69.0 69 50 9 60 60 7
67.5 58 55 3 6 60 55 14
66.0 80 63 5 16 71 65 13
64.5 73 70 16 80 68 10
63.0 76 52 3 10 66 68 7
61.5 49 55 4 11 63 35 8
60.0 65 61 2 8 68 65 15
58.5 47 70 4 6 61 55 14
57.0 57 70 3 12 69 54 6
55.5 51 53 9 72 36 9
54.0 86 75 6 10 92 64 6
52.5 41 67 1 10 74 33 3
51.0 49 62 2 9 70 43 9
49.5 33 56 1 4 55 33 4
48.0 46 42 3 10 50 35 7
46.5 23 36 2 4 32 29 6
45.0 36 39 1 4 47 33 3
43.5 14 34 8 31 14 1
42.0 22 39 1 6 39 22 1 5
40.5 12 30 5 25 17 1
39.0 16 24 2 3 21 16 1
37.5 11 24 2 26 10 1
36.0 12 21 1 5 19 11 1
34.5 9 15 1 18 6
33.0 8 4 11 4
31.5 4 7 1 10 3
30.0 9 12 1 11 10 1
28.5 1 4 5
27.0 1 2 1 2 1
25.5 1 1 1
24.0 2 6 1 5 3
19.5 1 1
18.0 2 2 1 2 2
13.5 1 1 2
6.0 2 2
1
American Mathematics Competitions
2008 AMC 12 A Results for Illinois
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 0.99 0.45 4.69 91.33* 1.84 0.65 0.04
2 94.79* 2.52 0.54 0.31 1.44 0.36 0.04
3 2.96 4.04 76.69* 5.97 2.07 8.22 0.04
4 5.28 53.49* 4.31 6.40 2.60 27.89 0.02
5 1.03 46.87* 9.43 27.64 6.04 8.92 0.07
6 54.23* 4.87 1.73 30.36 1.68 7.01 0.11
7 3.84 2.74 5.41 72.80* 6.74 8.42 0.04
8 3.68 5.64 66.85* 3.03 9.75 10.98 0.07
9 2.69 8.51 4.96 42.98* 3.73 37.08 0.04
10 12.19 29.37 9.63 37.68* 1.30 9.72 0.09
11 4.42 5.66 63.35* 5.88 3.64 17.02 0.02
12 15.11 30.88* 6.80 7.39 6.71 33.06 0.04
13 4.56 24.48* 8.15 16.10 7.50 39.19 0.02
14 9.48* 5.95 3.39 5.97 2.76 72.45 0.00
15 11.39 8.60 9.99 9.21* 10.15 50.62 0.04
16 3.26 5.86 5.88 9.32* 1.62 74.02 0.04
17 1.53 5.17 5.57 7.77* 6.92 73.01 0.04
18 2.52 3.48 7.21* 2.07 6.36 78.33 0.04
19 2.38 7.34 7.10* 4.60 1.82 76.71 0.04
20 1.80 4.09 3.55 2.69 4.15* 83.63 0.09
21 5.41 5.03 5.39 9.57* 3.35 71.19 0.07
22 3.86 5.91 6.49* 6.04 4.85 72.76 0.09
23 1.84 3.53 3.01 3.23* 1.30 87.04 0.04
24 4.67 18.28 7.19 2.34* 6.49 60.99 0.04
25 1.98 3.80 4.85 5.17* 2.78 81.36 0.07
(*) 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 Illinois
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
138.0 1 1
123.0 2 1 2
121.5 1 1
117.0 3 1 1 1 2
115.5 1 1
114.0 1 1 1
111.0 3 1 1 3 2
109.5 5 1 5 1
108.0 1 1 1
106.5 2 2
105.0 3 1 2
103.5 4 2 3
102.0 4 1 2 3
100.5 1 1
99.0 2 1 1 2
97.5 3 2 1
96.0 2 2 1 3
94.5 3 2 2 3
93.0 6 2 5 3
91.5 4 1 5
90.0 12 2 8 7
88.5 7 5 6 7
87.0 9 2 1 1 4 7
85.5 6 5 6 5 2
84.0 9 9 11 8
82.5 9 2 4 8
81.0 10 5 1 2 5 8
79.5 8 6 8 6 1
78.0 15 9 14 11
76.5 18 8 12 16 1
75.0 18 9 15 15 2
73.5 20 12 1 15 16
72.0 25 22 30 19
70.5 13 9 10 15
69.0 24 22 19 30 2
67.5 31 18 1 1 27 21 2
66.0 24 18 28 20 2
64.5 15 15 17 15 3
63.0 15 14 1 17 14 1
61.5 15 21 19 19 3
60.0 28 33 36 30 2
58.5 28 22 1 1 33 17 3
57.0 31 21 30 25 4
55.5 28 30 33 27 5
54.0 27 25 36 22 6
52.5 17 30 1 26 29 2
51.0 18 20 1 24 18 2
49.5 17 23 32 15 4
48.0 19 28 32 16 6
46.5 12 13 13 13 3
45.0 12 17 19 12 3
43.5 5 17 13 10 1
42.0 17 15 22 12 4
40.5 2 16 8 10 1
39.0 7 16 14 12 1
37.5 8 8 9 7 1
36.0 11 15 16 10 1
34.5 3 10 8 5
33.0 1 10 9 2
31.5 6 2 5 3 1
30.0 7 5 7 6 4
28.5 2 4 1 3 2
27.0 1 5 5 1
25.5 1 2 2 1
24.0 1 1
21.0 3 3
19.5 1 1
18.0 1 1 3
16.5 2 1 1 2
15.0 1 1
12.0 1 1 2
6.0 1 1
American Mathematics Competitions
2008 AMC 10 B Results for Illinois
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 2.61 0.34 2.96 11.42 79.37* 3.30 0.00
2 7.08 76.69* 8.67 0.89 0.76 5.91 0.00
3 22.97 3.92 5.09 22.56* 4.20 41.27 0.00
4 12.24 12.86 59.83* 1.86 1.03 12.17 0.00
5 42.71* 4.68 1.72 2.13 4.13 44.64 0.00
6 4.75 4.20 35.35* 9.35 6.40 39.89 0.07
7 5.02 9.22 61.62* 5.30 4.68 14.17 0.00
8 1.86 9.22 50.28* 8.60 5.64 24.42 0.00
9 16.51* 3.78 5.30 8.18 6.81 59.42 0.00
10 13.20* 5.43 2.68 4.26 4.47 69.88 0.07
11 1.38 9.56* 6.05 10.18 4.13 68.71 0.00
12 68.84* 5.43 4.20 3.30 4.13 14.03 0.07
13 22.15 7.77* 6.60 2.61 4.33 56.53 0.00
14 8.05 33.84* 3.30 6.19 2.54 46.01 0.07
15 11.07* 5.23 4.95 5.64 4.75 68.36 0.00
16 23.52* 23.31 3.78 3.37 4.13 41.88 0.00
17 12.17 6.53* 25.03 10.52 9.83 35.90 0.00
18 7.36 11.90* 10.32 3.30 2.48 64.51 0.14
19 3.37 2.34 7.02 7.98 5.43* 73.87 0.00
20 6.81 41.33* 8.60 6.46 3.03 33.77 0.00
21 8.12 9.35 5.30* 5.50 3.51 68.23 0.00
22 11.97 6.74 21.66* 10.39 7.98 41.27 0.00
23 10.59 4.88* 5.02 6.74 2.68 70.01 0.07
24 6.26 8.05 8.39* 7.43 7.91 61.97 0.00
25 18.57 10.73* 7.43 4.61 4.13 54.54 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 B Results for Illinois
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
141.0 1 1
138.0 1 1
130.5 1 1 1 1
127.5 1 1
126.0 2 1 1 1 1
124.5 2 1 1
123.0 1 1
121.5 3 3
120.0 3 1 1 1 2
117.0 1 1
114.0 3 1 2 1
112.5 2 1 1
111.0 2 1 1
109.5 1 1 1 1
108.0 2 1 1
106.5 1 1 1 1
105.0 5 1 4 3
103.5 4 4 3 3 2 1
102.0 8 2 1 4 5
100.5 14 2 6 5 6
99.0 8 2 1 4 4 1
97.5 7 3 4 9
96.0 1 3 1 2 1
94.5 11 6 5 5 7 1
93.0 5 1 1 1 1 1 4
91.5 5 2 1 1 3 3 1
90.0 13 2 1 6 9
88.5 11 5 2 5 11 1
87.0 10 3 1 7 8
85.5 10 1 5 5 2 2
84.0 10 9 3 11 5 3
82.5 25 12 1 2 3 15 18 2
81.0 9 6 1 8 6
79.5 16 12 5 15 10
78.0 18 10 4 13 13 3
76.5 31 13 2 4 22 17 2
75.0 20 12 5 15 15
73.5 23 12 3 18 15 1
72.0 19 17 6 24 11 3
70.5 22 22 4 31 14
69.0 21 17 6 19 20 3
67.5 34 17 1 6 26 22 3
66.0 22 18 1 5 18 18 2
64.5 16 23 1 4 22 17 5
63.0 12 19 4 15 16 5
61.5 21 18 3 25 17 6
60.0 19 12 1 2 16 14 2
58.5 22 20 3 20 21 3
57.0 16 17 5 11 18 1
55.5 12 23 2 15 19 1
54.0 12 25 5 16 18 7
52.5 12 15 1 12 15 3
51.0 9 7 1 10 8 2
49.5 10 15 1 1 9 15 2
48.0 15 15 1 15 16 2
46.5 6 15 13 8
45.0 2 7 5 4 1
43.5 5 7 1 7 6 2
42.0 10 7 2 5 11 3
40.5 3 8 1 6 4 2
39.0 4 6 3 7 1
37.5 1 6 8 2
36.0 3 2 1 3 3 4
34.5 2 1 2 1
33.0 1 1 2 1
31.5 1 2 1 2 2
30.0 4 1 1 1 1
27.0 1 1 2 1
25.5 1 1
24.0 1 1
21.0 1 1
18.0 1 1
12.0 1
American Mathematics Competitions
2008 AMC 12 B Results for Illinois
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 0.85 0.54 2.47 9.03 85.88* 1.08 0.15
2 4.24 84.95* 5.63 1.23 1.00 2.85 0.08
3 6.87 9.03 77.70* 1.16 0.54 4.63 0.08
4 2.47 1.54 3.78 76.70* 2.08 13.43 0.00
5 1.70 6.56 67.21* 5.63 4.24 14.51 0.15
6 83.87* 4.78 1.62 1.31 2.93 5.40 0.08
7 73.61* 2.85 1.31 1.77 1.77 18.60 0.08
8 1.70 2.93 58.80* 9.88 4.94 21.68 0.08
9 36.34* 3.47 4.24 4.40 3.86 47.61 0.08
10 4.09 32.18* 9.18 4.63 3.63 46.30 0.00
11 12.96* 7.87 4.09 8.49 23.15 43.44 0.00
12 20.83 22.38* 8.64 2.39 5.09 40.66 0.00
13 2.24 16.90* 3.09 5.32 2.70 69.68 0.08
14 4.63 5.02 33.95* 8.10 4.55 43.75 0.00
15 2.31 5.02 8.72* 7.18 6.79 69.91 0.08
16 18.90 12.65* 6.79 6.71 1.39 53.55 0.00
17 3.86 4.78 6.02* 3.63 2.93 78.70 0.08
18 2.39 3.94 5.63 7.33 7.25* 73.46 0.00
19 4.17 6.79* 4.32 3.63 2.85 78.24 0.00
20 23.53 14.20* 7.64 4.94 2.70 46.99 0.00
21 3.09 3.09 3.78 3.47 3.40* 83.10 0.08
22 6.10 6.33 7.56 5.63 6.79* 67.59 0.00
23 4.40* 5.32 3.47 3.32 1.00 82.48 0.00
24 1.77 3.24 3.55* 2.85 1.70 86.88 0.00
25 2.24 4.63* 4.09 4.24 1.77 83.02 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column