American Mathematics Competitions
2006 AMC 10 A Results for Illinois
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3465
Number of unofficial participants: 0
Average score of participants: 79.5
Average score for female students is: 76.4 ( 1544 Students)
Average score for male students is: 82.4 ( 1727 Students)
Average score for unspecified gender is 77.4 ( 194 Students)
Average score for grade 10 is: 82.2 ( 1622 Students)
Average score for grade 9 is: 76.9 ( 1676 Students)
Average score for grade 8 and below is: 84.5 ( 96 Students)
Average score with unknown grade: 72.0 ( 71 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 58
Number of schools returning results 88
Average school winning score 111.14
American Mathematics Competitions
2006 AMC 12 A Results for Illinois
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4384
Number of unofficial participants: 0
Average score of participants: 88.0
Average score for female students is: 84.0 ( 1842 Students)
Average score for male students is: 91.4 ( 2361 Students)
Average score for unspecified gender is 84.6 ( 181 Students)
Average score for grade 13 is: 95.5 ( 1 Student)
Average score for grade 12 is: 89.5 ( 1775 Students)
Average score for grade 11 is: 87.1 ( 2072 Students)
Average score for grade 10 is: 89.0 ( 365 Students)
Average score for grade 9 is: 83.2 ( 85 Students)
Average score for grade 8 and below is: 91.3 ( 2 Students)
Average score with unknown grade: 79.9 ( 84 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 1149
Number of schools returning results 97
Average school winning score 113.82
Average school team score 325.28
American Mathematics Competitions
2006 AMC 10 B Results for Illinois
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1533
Number of unofficial participants: 0
Average score of participants: 66.6
Average score for female students is: 63.2 ( 744 Students)
Average score for male students is: 70.5 ( 692 Students)
Average score for unspecified gender is 64.2 ( 97 Students)
Average score for grade 10 is: 71.7 ( 842 Students)
Average score for grade 9 is: 60.1 ( 643 Students)
Average score for grade 8 and below is: 88.4 ( 5 Students)
Average score with unknown grade: 60.2 ( 43 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 11
Number of schools returning results 31
Average school winning score 103.76
American Mathematics Competitions
2006 AMC 12 B Results for Illinois
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2141
Number of unofficial participants: 0
Average score of participants: 86.4
Average score for female students is: 82.1 ( 916 Students)
Average score for male students is: 89.9 ( 1135 Students)
Average score for unspecified gender is 85.9 ( 90 Students)
Average score for grade 13 is: 66.0 ( 1 Student)
Average score for grade 12 is: 87.6 ( 849 Students)
Average score for grade 11 is: 84.2 ( 1068 Students)
Average score for grade 10 is: 92.1 ( 171 Students)
Average score for grade 9 is: 93.9 ( 29 Students)
Average score for grade 8 and below is: 103.3 ( 2 Students)
Average score with unknown grade: 83.8 ( 21 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 491
Number of schools returning results 41
Average school winning score 113.80
Average school team score 321.80
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
412.0 1 1
398.0 1 2
392.5 1 1 3
392.0 1 5
388.0 1 6
383.0 1 7
382.0 1 8
381.0 1 9
380.0 1 10
378.5 1 11
376.0 1 1 12
374.5 1 14
372.5 1 15
370.5 1 16
365.5 1 17
363.5 1 18
362.0 1 19
361.0 4 1 20
360.0 3 1 25
359.5 1 29
357.5 1 30
356.5 1 31
354.0 4 32
353.0 3 36
352.0 1 39
351.5 1 40
350.5 2 41
349.0 1 43
348.0 2 44
347.5 1 46
347.0 1 1 47
346.5 1 49
346.0 2 1 50
344.5 2 53
343.0 1 55
342.5 3 56
342.0 1 59
341.0 1 60
339.5 1 61
338.5 3 62
334.0 1 1 65
333.0 3 67
332.5 1 70
331.0 1 71
330.5 1 72
329.5 1 73
328.0 1 74
326.5 1 75
326.0 2 76
325.0 1 78
324.5 1 79
322.0 1 80
321.0 1 81
319.0 1 82
317.0 1 1 83
316.5 1 85
315.5 1 86
314.5 1 87
313.0 2 88
312.5 1 90
311.5 1 91
311.0 1 92
310.5 1 93
306.5 1 94
305.0 1 95
304.5 1 96
303.0 1 97
302.5 1 98
301.5 1 99
300.5 1 100
300.0 2 1 101
299.0 1 104
298.5 1 105
297.0 1 106
296.5 1 107
295.0 1 108
294.0 1 109
293.0 1 110
289.5 1 111
284.5 2 112
283.5 1 114
281.5 1 115
281.0 1 116
280.5 1 117
280.0 1 1 118
279.5 1 120
279.0 2 121
277.5 1 123
274.5 1 1 124
266.5 1 1 126
263.0 1 128
262.0 1 129
261.0 1 130
260.0 1 131
257.0 1 132
244.5 1 133
237.5 1 134
232.0 1 135
228.5 1 136
192.0 1 137
103.0 1 138
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
144.0 1 2
140.5 1 1 1
139.5 2 1 1
138.0 1
136.0 3 1
134.5 1
133.5 2 3
132.5 2 1 2
132.0 1 1
131.0 1 4 1
130.0 4 3 5
129.0 4 3 1
127.5 1 2 1
126.5 3 6 4 1
126.0 2 2
125.5 9 5 2 1
125.0 1 2
124.0 2 5 2 1
123.0 4 7 6 1
122.5 1
122.0 18 5 2 2
121.5 1 3 1
120.5 1 2 9 1
120.0 1
119.5 20 16 5 1
119.0 2 1 1
118.5 50 15 3
118.0 1 1 3
117.0 14 8 11 1
116.5 2
116.0 35 6 6 7
115.5 1 1
115.0 32 11 2
114.5 1 3 5 1
114.0 1
113.5 21 8 15 2
113.0 1 2
112.5 97 26 4 2
112.0 1 10
111.5 33 17 2 2
111.0 7 6 14 3
110.0 64 5 20 5
109.5 4
109.0 77 24 14 2
108.5 4 15 2
108.0 36 38 5 3
107.5 27 10 18 1
107.0 1
106.5 114 14 14 3
106.0 2 1 13 3
105.5 60 39 11 4
105.0 10 12 6
104.5 15 30 2 1
104.0 73 9 21 5
103.5 1 4 1
103.0 73 19 21 9
102.5 2 3 18
102.0 60 56 13 6
101.5 37 6 27 4
101.0 24 59 7 1
100.5 95 15 20 11
100.0 3 16 2
99.5 75 37 26 8
99.0 12 4 17 5
98.5 39 53 13 8
98.0 65 9 30 7
97.5 7 18 6 2
97.0 79 13 38 10
96.5 4 10 2
96.0 80 37 32 11
95.5 36 2 37 5
95.0 55 80 20 2
94.5 97 8 29 12
94.0 11 15 10 1
93.5 78 34 39 16
93.0 17 3 25 1
92.5 59 46 37 8
92.0 63 8 45 7
91.5 23 26 14 3
91.0 72 14 35 8
90.5 15 12 18 4
90.0 89 35 49 10
89.5 26 2 25 2
89.0 77 86 33 15
88.5 65 7 42 13
88.0 13 18 22 4
87.5 70 25 46 14
87.0 14 9 30 1
86.5 68 39 48 14
86.0 39 6 32 4
85.5 25 31 38 4
85.0 63 16 30 10
84.5 15 17 32
84.0 72 26 59 14
83.5 29 6 40 5
83.0 56 63 62 18
82.5 52 13 28 6
82.0 23 33 34 6
81.5 50 19 38 8
81.0 20 10 26 5
80.5 57 30 60 19
80.0 29 11 31 13
79.5 33 28 37 14
79.0 55 13 36 13
78.5 27 19 32 7
78.0 57 30 58 16
77.5 34 17 34 9
77.0 55 43 50 13
76.5 43 14 29 5
76.0 35 22 35 14
75.5 50 17 35 18
75.0 27 16 29 11
74.5 48 16 39 18
74.0 23 14 49 11
73.5 31 17 40 13
73.0 36 14 29 11
72.5 20 14 41 17
72.0 45 18 43 28
71.5 20 11 30 8
71.0 44 31 40 15
70.5 29 10 33 8
70.0 21 13 31 21
69.5 28 11 42 13
69.0 19 16 30 13
68.5 38 10 39 13
68.0 28 8 42 7
67.5 28 10 26 19
67.0 33 8 29 13
66.5 25 9 34 11
66.0 31 20 43 18
65.5 17 8 23 13
65.0 29 8 22 14
64.5 17 11 29 11
64.0 18 6 21 12
63.5 17 10 22 15
63.0 14 8 26 18
62.5 16 12 19 18
62.0 12 7 20 13
61.5 15 9 23 20
61.0 12 8 25 13
60.5 11 8 18 8
60.0 21 10 27 23
59.5 11 7 20 18
59.0 18 12 21 10
58.5 5 10 24 8
58.0 14 7 17 15
57.5 6 4 14 10
57.0 5 3 18 6
56.5 7 7 9 13
56.0 12 4 16 9
55.5 5 3 17 16
55.0 2 2 12 3
54.5 6 3 16 11
54.0 22 9 23 15
53.5 5 3 15 14
53.0 9 6 5 15
52.5 7 5 13 9
52.0 3 2 10 18
51.5 3 3 12 11
51.0 5 6 10
50.5 10 5 8 17
50.0 3 1 8 8
49.5 2 2 6 12
49.0 4 6 11
48.5 1 1 9 7
48.0 7 8 21 19
47.5 9 2 5 3
47.0 6 2 10 4
46.5 2 1 2 5
46.0 5 6 9
45.5 4 1 11
45.0 2 1 7 9
44.5 2 4 3 12
44.0 2 3 7 8
43.5 1 3 6
43.0 1 2 4 7
42.5 2 1 3 6
42.0 6 2 18 16
41.5 1 2 2 7
41.0 2 3 9
40.5 1 1 1 7
40.0 3 1 5
39.5 1 4 8
39.0 2 1 6
38.5 2 1 7
38.0 1 1 6
37.5 1 5
37.0 1 3
36.5 1 1 3
36.0 2 3 2 15
35.5 3 4
35.0 1 3
34.5 1 1 4
34.0 1 3 1
33.5 1 2
33.0 2 5 3
32.5 1 3
32.0 6
31.5 1 1 1
31.0 1
30.5 2 3
30.0 4 4 8 20
29.5 2 3
29.0 4
28.5 4
28.0 1 1
27.0 1 3
26.5 1 4
26.0 1
25.5 1 1 1
25.0 2
24.5 1 1
24.0 3 1 5
23.5 1
23.0 1 1
22.0 1 2
21.0 1
20.5 1 2
20.0 1
19.5 1 1
18.5 1
18.0 2 2 9
16.0 2
13.5 2
12.0 1 1 5
11.0 1
7.5 1
6.0 2
American Mathematics Competitions
2006 AMC 10 A Results for Illinois
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 100.0 14 2
149.5 124.5 99.5 17 7
149.0 124.0 2 99.0 13 4
148.5 123.5 98.5 9 4
148.0 123.0 4 2 98.0 16 13
147.5 122.5 1 97.5 2 4
147.0 122.0 2 97.0 20 17
146.5 121.5 3 96.5 4 4
146.0 121.0 96.0 14 14
145.5 120.5 7 1 95.5 25 11
145.0 120.0 1 95.0 8 9
144.5 119.5 3 2 94.5 15 14
144.0 2 119.0 1 94.0 7 3
143.5 118.5 1 2 93.5 13 22
143.0 118.0 2 1 93.0 14 10
142.5 117.5 92.5 20 16
142.0 117.0 8 2 92.0 27 18
141.5 116.5 1 91.5 6 7
141.0 116.0 4 2 91.0 19 14
140.5 1 115.5 1 90.5 10 8
140.0 115.0 1 1 90.0 27 22
139.5 1 114.5 3 1 89.5 18 7
139.0 114.0 1 89.0 18 12
138.5 113.5 12 2 88.5 23 16
138.0 113.0 2 88.0 11 9
137.5 112.5 1 2 87.5 23 20
137.0 112.0 9 1 87.0 19 8
136.5 111.5 1 1 86.5 21 23
136.0 111.0 12 2 86.0 18 12
135.5 110.5 85.5 20 15
135.0 110.0 13 6 85.0 17 12
134.5 1 109.5 2 2 84.5 12 18
134.0 109.0 10 3 84.0 28 29
133.5 2 1 108.5 11 4 83.5 27 10
133.0 108.0 2 3 83.0 24 33
132.5 2 107.5 12 3 82.5 21 7
132.0 1 107.0 1 82.0 19 14
131.5 106.5 11 3 81.5 25 12
131.0 4 106.0 10 2 81.0 13 13
130.5 105.5 6 5 80.5 32 26
130.0 5 105.0 7 4 80.0 18 10
129.5 104.5 1 1 79.5 14 22
129.0 1 104.0 13 7 79.0 17 18
128.5 103.5 3 1 78.5 17 14
128.0 103.0 12 7 78.0 26 30
127.5 2 102.5 10 8 77.5 19 15
127.0 102.0 5 5 77.0 25 23
126.5 4 101.5 16 11 76.5 12 14
126.0 1 101.0 5 2 76.0 9 24
125.5 2 100.5 11 9 75.5 21 13
American Mathematics Competitions
2006 AMC 10 A Results for Illinois
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 16 50.0 4 3 25.0
74.5 13 26 49.5 1 4 24.5
74.0 26 21 49.0 1 4 24.0 1
73.5 17 22 48.5 3 6 23.5
73.0 14 15 48.0 12 8 23.0
72.5 15 22 47.5 2 3 22.5
72.0 16 25 47.0 1 8 22.0 1
71.5 22 7 46.5 2 21.5
71.0 18 21 46.0 3 1 21.0
70.5 9 22 45.5 1 20.5 1
70.0 16 13 45.0 1 5 20.0
69.5 19 19 44.5 2 1 19.5 1
69.0 17 9 44.0 5 2 19.0
68.5 20 16 43.5 2 1 18.5
68.0 16 25 43.0 2 2 18.0 2
67.5 9 16 42.5 2 1 17.5
67.0 10 19 42.0 10 8 17.0
66.5 11 15 41.5 1 1 16.5
66.0 22 19 41.0 1 2 16.0
65.5 5 17 40.5 1 15.5
65.0 6 15 40.0 1 15.0
64.5 15 12 39.5 1 2 14.5
64.0 12 7 39.0 1 14.0
63.5 14 7 38.5 1 13.5
63.0 14 12 38.0 13.0
62.5 14 4 37.5 12.5
62.0 8 12 37.0 12.0 1
61.5 7 14 36.5 1 11.5
61.0 9 16 36.0 2 11.0
60.5 5 12 35.5 2 10.5
60.0 8 17 35.0 1 10.0
59.5 12 7 34.5 1 9.5
59.0 7 10 34.0 1 2 9.0
58.5 8 15 33.5 8.5
58.0 6 8 33.0 2 3 8.0
57.5 6 8 32.5 7.5
57.0 5 12 32.0 7.0
56.5 6 31.5 6.5
56.0 11 5 31.0 6.0
55.5 5 12 30.5 2 5.5
55.0 5 6 30.0 2 5 5.0
54.5 7 8 29.5 1 1 4.5
54.0 12 10 29.0 4.0
53.5 4 9 28.5 3.5
53.0 3 28.0 1 3.0
52.5 4 9 27.5 2.5
52.0 5 4 27.0 2.0
51.5 5 5 26.5 1 1.5
51.0 4 2 26.0 1.0
50.5 1 6 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Illinois
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
144.0 1 1
140.5 1
139.5 1
136.0 1
134.5 1
133.5 1 2
132.5 2
132.0 1
131.0 1 3
130.0 1 1 3
129.0 1
127.5 2
126.5 1 1 2
126.0 1 1
125.5 2
125.0 1 1
124.0 2
123.0 2 3 1
122.5 1
122.0 2
121.5 1 1 1
120.5 1 4 4
120.0 1
119.5 1 4
119.0 1
118.5 1 2
118.0 1 2
117.0 1 4 6
116.5 2
116.0 1 1 4
115.5 1
115.0 2
114.5 2 3
114.0 1
113.5 1 7 7
113.0 1 1
112.5 2 1 1
112.0 5 5
111.5 1 1
111.0 5 9
110.0 10 10
109.5 1 3
109.0 5 9
108.5 3 12
108.0 1 2 2
107.5 1 5 10 2
107.0 1
106.5 2 4 8
106.0 7 6
105.5 2 9
105.0 4 8
104.5 1 1
104.0 7 14
103.5 2 1 1
103.0 9 12
102.5 9 9
102.0 1 3 7 2
101.5 15 12
101.0 7
100.5 1 1 5 13
100.0 1 6 9
99.5 14 11 1
99.0 1 9 7
98.5 5 8
98.0 1 4 25
97.5 4 2
97.0 1 13 23 1
96.5 2 8
96.0 1 13 17 1
95.5 3 9 25
95.0 1 9 10
94.5 1 12 16
94.0 3 7
93.5 1 13 25
93.0 2 1 11 11
92.5 23 14
92.0 2 14 29
91.5 8 6
91.0 13 22
90.5 7 11
90.0 1 1 25 22
89.5 7 18
89.0 14 17 2
88.5 1 17 23 1
88.0 1 11 9 1
87.5 1 2 21 21 1
87.0 1 10 19
86.5 23 23 2
86.0 1 14 16 1
85.5 20 16 2
85.0 1 1 1 17 10
84.5 2 19 11
84.0 1 33 25
83.5 1 19 20
83.0 1 29 30 2
82.5 9 19
82.0 1 2 18 13
81.5 1 23 14
81.0 11 15
80.5 1 1 39 19
80.0 20 10 1
79.5 18 18 1
79.0 1 17 17 1
78.5 17 14 1
78.0 1 29 27 1
77.5 1 16 17
77.0 30 20
76.5 1 19 9
76.0 19 16
75.5 1 16 17 1
75.0 1 15 10 3
74.5 20 19
74.0 24 25
73.5 25 14 1
73.0 1 19 9
72.5 1 1 20 19
72.0 3 24 16
71.5 18 10 2
71.0 24 16
70.5 1 1 15 16
70.0 1 17 13
69.5 1 22 17 2
69.0 17 12 1
68.5 14 25
68.0 2 21 18 1
67.5 1 18 6 1
67.0 15 14
66.5 1 18 14 1
66.0 2 21 18 2
65.5 2 10 10 1
65.0 11 11
64.5 18 9 2
64.0 11 8 2
63.5 1 10 11
63.0 2 17 7
62.5 1 12 5 1
62.0 6 14
61.5 1 9 12 1
61.0 1 15 9
60.5 6 12
60.0 1 13 11 2
59.5 1 8 10 1
59.0 1 8 9 3
58.5 13 11
58.0 1 9 5 2
57.5 8 6
57.0 14 3 1
56.5 5 3 1
56.0 8 8
55.5 1 11 5
55.0 9 3
54.5 12 4
54.0 9 13 1
53.5 9 6
53.0 3 1 1
52.5 6 7
52.0 6 3 1
51.5 9 3
51.0 3 3
50.5 6 1 1
50.0 6 1 1
49.5 2 3 1
49.0 4 2
48.5 4 5
48.0 3 10 7 1
47.5 3 2
47.0 5 5
46.5 2
46.0 4 1 1
45.5 1
45.0 4 3
44.5 3
44.0 4 3
43.5 2 1
43.0 3 1
42.5 1 2
42.0 13 5
41.5 2
41.0 1 2
40.5 1
40.0 1
39.5 2 1 1
39.0 1
38.5 1
36.5 1
36.0 1 1
35.5 1 1 1
35.0 1
34.5 1
34.0 2 1
33.5 1
33.0 4 1
31.5 1
30.5 2
30.0 7 1
29.5 2
28.0 1
26.5 1
25.5 1
24.0 1
22.0 1
20.5 1
19.5 1
18.0 2
12.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Illinois
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 9.92* 0.02 0.03 0.02 0.00 0.01 0.00
2 1.36 0.18 3.37* 0.12 1.62 3.34 0.00
3 0.09 8.46* 0.09 0.06 1.21 0.09 0.00
4 2.01 0.14 0.07 0.13 7.06* 0.58 0.00
5 0.21 1.01 1.16 7.01* 0.21 0.40 0.00
6 0.19 8.12* 0.29 0.10 0.07 1.24 0.00
7 6.85* 0.09 0.42 0.31 0.34 2.00 0.00
8 0.88 0.39 0.39 0.14 2.78* 5.41 0.00
9 1.48 1.30 5.73* 0.32 0.18 0.99 0.00
10 0.27 0.20 0.78 2.94 1.11* 4.70 0.00
11 1.80 1.49 1.64* 0.80 0.73 3.53 0.00
12 0.95 0.38 4.61* 0.94 0.31 2.80 0.00
13 0.32 1.10 0.23 5.18* 0.11 3.05 0.00
14 1.73 3.99* 0.22 0.91 0.54 2.63 0.00
15 0.70 0.32 0.33 1.42* 0.59 6.63 0.00
16 0.25 0.27 0.35 0.33* 0.53 8.27 0.00
17 1.92* 0.46 0.24 0.38 0.28 6.73 0.00
18 1.97 0.15 2.93* 0.33 0.13 4.50 0.00
19 0.46 1.67 0.75* 0.29 0.22 6.61 0.00
20 0.39 1.00 0.36 0.36 0.55* 7.34 0.00
21 0.74 0.61 0.43 0.56 1.01* 6.66 0.00
22 0.08 0.72 3.61* 3.49 0.71 1.38 0.00
23 0.54 1.73* 0.17 0.26 0.57 6.73 0.00
24 0.70 0.42* 0.38 0.19 0.34 7.97 0.00
25 2.06 0.78 0.46* 0.45 0.22 6.02 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 Illinois
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 2 1
149.5 124.5 99.5 46 27
149.0 124.0 2 99.0 8 3
148.5 123.5 98.5 21 17
148.0 123.0 4 98.0 39 23
147.5 122.5 97.5 2 5
147.0 122.0 13 5 97.0 48 27
146.5 121.5 96.5 2 2
146.0 121.0 96.0 46 31
145.5 120.5 1 95.5 29 7
145.0 120.0 95.0 28 26
144.5 119.5 17 2 94.5 56 34
144.0 1 119.0 1 1 94.0 4 6
143.5 118.5 41 8 93.5 53 25
143.0 118.0 93.0 12 5
142.5 117.5 92.5 27 30
142.0 117.0 12 1 92.0 39 24
141.5 116.5 91.5 13 9
141.0 116.0 28 6 91.0 38 31
140.5 1 115.5 90.5 7 8
140.0 115.0 19 10 90.0 43 43
139.5 2 114.5 1 89.5 14 11
139.0 114.0 89.0 47 26
138.5 113.5 14 6 88.5 42 21
138.0 1 113.0 1 88.0 2 10
137.5 112.5 71 22 87.5 43 24
137.0 112.0 1 87.0 4 10
136.5 111.5 22 10 86.5 35 32
136.0 3 111.0 3 3 86.0 20 17
135.5 110.5 85.5 10 15
135.0 110.0 42 19 85.0 31 30
134.5 109.5 84.5 6 9
134.0 109.0 51 23 84.0 38 32
133.5 108.5 4 83.5 12 15
133.0 108.0 23 12 83.0 27 26
132.5 2 107.5 21 5 82.5 25 24
132.0 1 107.0 82.0 10 13
131.5 106.5 79 32 81.5 24 23
131.0 1 106.0 2 81.0 11 7
130.5 105.5 35 22 80.5 24 31
130.0 4 105.0 7 3 80.0 11 18
129.5 104.5 11 3 79.5 15 16
129.0 3 1 104.0 41 31 79.0 27 28
128.5 103.5 78.5 6 20
128.0 103.0 49 20 78.0 28 26
127.5 1 102.5 2 77.5 18 14
127.0 102.0 39 18 77.0 20 32
126.5 3 101.5 25 11 76.5 19 22
126.0 101.0 16 8 76.0 10 25
125.5 7 2 100.5 54 38 75.5 27 23
American Mathematics Competitions
2006 AMC 12 A Results for Illinois
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 12 14 50.0 1 25.0
74.5 26 20 49.5 2 24.5
74.0 8 13 49.0 2 2 24.0
73.5 16 14 48.5 1 23.5
73.0 14 18 48.0 2 4 23.0 1
72.5 7 13 47.5 2 7 22.5
72.0 26 17 47.0 1 5 22.0
71.5 9 9 46.5 1 1 21.5
71.0 16 26 46.0 2 3 21.0
70.5 13 16 45.5 2 2 20.5
70.0 5 16 45.0 2 20.0
69.5 12 14 44.5 1 1 19.5
69.0 6 9 44.0 1 1 19.0
68.5 16 21 43.5 18.5
68.0 9 17 43.0 1 18.0
67.5 7 18 42.5 1 1 17.5
67.0 12 20 42.0 4 2 17.0
66.5 7 15 41.5 16.5
66.0 15 16 41.0 16.0
65.5 6 11 40.5 1 15.5
65.0 12 17 40.0 1 2 15.0
64.5 5 10 39.5 1 14.5
64.0 9 6 39.0 1 1 14.0
63.5 8 8 38.5 1 1 13.5
63.0 6 8 38.0 1 13.0
62.5 10 4 37.5 12.5
62.0 5 6 37.0 12.0
61.5 4 11 36.5 11.5
61.0 8 4 36.0 1 1 11.0
60.5 6 3 35.5 10.5
60.0 10 10 35.0 10.0
59.5 3 7 34.5 9.5
59.0 9 8 34.0 1 9.0
58.5 1 3 33.5 8.5
58.0 6 7 33.0 8.0
57.5 1 5 32.5 1 7.5
57.0 2 2 32.0 7.0
56.5 3 2 31.5 6.5
56.0 6 6 31.0 6.0
55.5 1 3 30.5 5.5
55.0 2 30.0 1 3 5.0
54.5 3 3 29.5 4.5
54.0 8 13 29.0 4.0
53.5 3 2 28.5 3.5
53.0 2 5 28.0 3.0
52.5 2 5 27.5 2.5
52.0 2 1 27.0 2.0
51.5 2 1 26.5 1.5
51.0 1 4 26.0 1.0
50.5 4 5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Illinois
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
144.0 1
140.5 1
139.5 1 1
138.0 1
136.0 2 1
132.5 1 1
132.0 1
131.0 1
130.0 2 2
129.0 1 2 1
127.5 1
126.5 2 1
125.5 1 2 2 4
124.0 1 1
123.0 1 1 2
122.0 3 5 10
120.5 1
119.5 3 8 9
119.0 1 1
118.5 4 20 25 1
118.0 1
117.0 2 4 8
116.0 1 2 16 16
115.0 2 12 17 1
114.5 1
113.5 3 11 7
113.0 1
112.5 2 11 35 49
112.0 1
111.5 2 16 15
111.0 1 1 4 1
110.0 4 28 32
109.0 6 38 32 1
108.5 3 1
108.0 1 12 23
107.5 2 16 9
106.5 7 50 55 2
106.0 1 1
105.5 1 2 26 31
105.0 1 3 5 1
104.5 7 7 1
104.0 1 9 25 37 1
103.0 5 32 32 4
102.5 1 1
102.0 1 4 27 26 2
101.5 4 17 16
101.0 1 10 13
100.5 1 4 42 45 3
100.0 1 2
99.5 1 7 36 30 1
99.0 1 7 4
98.5 1 3 15 20
98.0 8 25 30 2
97.5 4 3
97.0 1 6 42 29 1
96.5 4
96.0 3 7 35 35
95.5 4 18 12 1 1
95.0 9 21 25
94.5 1 5 54 36 1
94.0 2 6 3
93.5 1 6 41 30
93.0 1 8 8
92.5 1 3 3 20 31 1
92.0 2 6 25 30
91.5 2 12 8 1
91.0 2 5 34 29 2
90.5 4 3 8
90.0 1 1 7 38 42
89.5 13 12 1
89.0 1 7 38 30 1
88.5 2 4 40 17 2
88.0 2 4 7
87.5 5 40 24 1
87.0 1 1 10 2
86.5 1 3 37 27
86.0 1 2 17 17 2
85.5 1 4 10 10
85.0 5 33 24 1
84.5 3 8 4
84.0 4 6 38 23 1
83.5 3 10 15 1
83.0 1 4 26 25
82.5 3 30 18 1
82.0 4 9 10
81.5 5 27 17 1
81.0 1 10 8 1
80.5 3 4 29 20 1
80.0 3 17 9
79.5 1 6 14 10 2
79.0 2 7 26 20
78.5 6 9 11 1
78.0 6 35 16
77.5 2 1 21 10
77.0 1 4 25 24 1
76.5 1 4 23 14 1
76.0 1 2 19 13
75.5 1 1 30 18
75.0 5 11 10 1
74.5 1 3 19 24 1
74.0 1 3 11 7 1
73.5 7 14 9 1
73.0 4 5 22 4 1
72.5 1 13 6
72.0 3 3 21 16 2
71.5 2 13 4 1
71.0 2 5 20 16 1
70.5 1 13 15
70.0 1 1 9 10
69.5 1 10 16 1
69.0 2 3 7 4 3
68.5 3 5 15 15
68.0 3 14 9 2
67.5 1 1 12 12 2
67.0 3 3 16 10 1
66.5 15 7 3
66.0 2 18 11
65.5 1 8 8
65.0 1 2 11 15
64.5 10 5 2
64.0 1 7 7 3
63.5 1 12 4
63.0 1 2 7 4
62.5 1 1 5 8 1
62.0 6 6
61.5 1 2 9 3
61.0 1 9 2
60.5 5 6
60.0 13 8
59.5 2 4 5
59.0 2 2 12 2
58.5 2 2 1
58.0 1 4 8 1
57.5 1 2 3
57.0 2 2 1
56.5 2 3 2
56.0 2 2 8
55.5 3 1 1
55.0 1 1
54.5 1 2 3
54.0 1 9 11 1
53.5 1 4
53.0 1 1 6 1
52.5 1 1 5
52.0 2 1
51.5 2 1
51.0 3 2
50.5 5 5
50.0 1 2
49.5 2
49.0 1 1 2
48.5 1
48.0 5 1 1
47.5 1 7 1
47.0 3 3
46.5 2
46.0 3 2
45.5 2 2
45.0 1 1
44.5 1 1
44.0 1 1
43.5 1
43.0 1
42.5 2
42.0 3 3
41.5 1
40.5 1
40.0 3
39.5 1
39.0 1 1
38.5 1 1
38.0 1
36.0 1 1
34.0 1
32.5 1
30.0 1 2 1
23.0 1
American Mathematics Competitions
2006 AMC 12 A Results for Illinois
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 9.95* 0.01 0.02 0.01 0.00 0.00 0.00
2 1.14 0.11 5.63* 0.04 0.55 2.53 0.00
3 0.02 9.04* 0.03 0.02 0.86 0.05 0.00
4 1.59 0.10 0.03 0.05 8.00* 0.23 0.00
5 0.13 0.66 0.84 8.02* 0.12 0.23 0.00
6 7.31* 0.09 0.34 0.19 0.28 1.79 0.00
7 0.64 5.76* 0.65 0.58 0.34 2.03 0.00
8 0.90 1.06 7.02* 0.21 0.11 0.71 0.00
9 8.25* 0.17 0.05 0.03 0.22 1.28 0.00
10 0.23 0.13 0.70 3.66 2.26* 3.03 0.00
11 1.60 1.06 3.10* 0.73 0.55 2.95 0.00
12 1.32 5.63* 0.13 0.67 0.29 1.97 0.00
13 0.29 0.08 0.18 0.09 6.71* 2.64 0.00
14 0.05 0.45 5.09* 2.44 0.34 1.63 0.00
15 3.95* 1.45 0.22 0.58 1.42 2.39 0.00
16 0.31 4.78* 0.12 0.17 0.47 4.15 0.00
17 0.23 0.51* 0.42 0.41 0.08 8.36 0.00
18 1.64 0.07 0.27 0.62 0.40* 7.00 0.00
19 0.10 0.14 0.16 0.11 0.23* 9.25 0.00
20 1.63 0.56 0.50* 0.26 0.17 6.89 0.00
21 0.06 0.09 0.30 0.11 0.20* 9.23 0.00
22 0.12 0.12 0.13 0.16* 0.05 9.42 0.00
23 0.07 0.13* 0.10 0.06 0.19 9.44 0.00
24 0.98 0.15 0.21 0.28* 0.09 8.28 0.00
25 0.06 0.15 0.19 0.13 0.12* 9.35 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 Illinois
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 2
149.5 124.5 99.5 5 3
149.0 124.0 1 99.0 4
148.5 123.5 98.5 6 2
148.0 123.0 1 98.0 4 3
147.5 122.5 97.5 2
147.0 122.0 1 1 97.0 4 5
146.5 121.5 1 96.5 1 1
146.0 121.0 96.0 5 5
145.5 120.5 1 95.5 4 1
145.0 120.0 95.0 2
144.5 119.5 1 94.5 8 4
144.0 119.0 94.0 1
143.5 118.5 93.5 8 8
143.0 118.0 93.0 1
142.5 117.5 92.5 5 3
142.0 117.0 1 92.0 5 2
141.5 116.5 91.5 2 1
141.0 116.0 6 91.0 3 5
140.5 1 115.5 90.5 3
140.0 115.0 90.0 8 2
139.5 114.5 1 89.5 2
139.0 114.0 89.0 7 8
138.5 113.5 1 1 88.5 7 5
138.0 113.0 88.0 3
137.5 112.5 1 1 87.5 7 4
137.0 112.0 87.0 1
136.5 111.5 1 1 86.5 9 3
136.0 111.0 3 86.0 2 1
135.5 110.5 85.5 4
135.0 110.0 5 85.0 6 4
134.5 109.5 84.5
134.0 109.0 1 1 84.0 8 5
133.5 108.5 1 1 83.5 4 1
133.0 108.0 2 1 83.0 6 12
132.5 107.5 1 82.5 4 2
132.0 107.0 82.0 3 3
131.5 106.5 1 2 81.5 4 3
131.0 1 106.0 1 2 81.0 3 2
130.5 105.5 3 1 80.5 9 9
130.0 105.0 4 2 80.0 9 3
129.5 104.5 1 79.5 4 9
129.0 104.0 4 1 79.0 9 4
128.5 103.5 1 78.5 6 1
128.0 103.0 5 3 78.0 7 9
127.5 1 102.5 77.5 2 7
127.0 102.0 3 1 77.0 6 6
126.5 1 101.5 3 1 76.5 3 2
126.0 101.0 1 76.0 9 4
125.5 1 100.5 4 6 75.5 8 8
American Mathematics Competitions
2006 AMC 10 B Results for Illinois
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 7 50.0 4 3 25.0 2
74.5 11 5 49.5 5 7 24.5 1
74.0 4 6 49.0 4 6 24.0 3 2
73.5 7 4 48.5 2 4 23.5 1
73.0 3 7 48.0 8 8 23.0 1
72.5 6 10 47.5 2 22.5
72.0 12 16 47.0 3 22.0 2
71.5 3 4 46.5 5 21.5
71.0 7 8 46.0 3 4 21.0 1
70.5 3 5 45.5 1 9 20.5 1 1
70.0 10 9 45.0 4 4 20.0 1
69.5 3 10 44.5 4 8 19.5 1
69.0 8 5 44.0 3 5 19.0
68.5 8 5 43.5 2 4 18.5 1
68.0 3 4 43.0 1 6 18.0 1 7
67.5 10 7 42.5 3 3 17.5
67.0 6 6 42.0 10 6 17.0
66.5 4 7 41.5 3 4 16.5
66.0 6 10 41.0 2 7 16.0 2
65.5 4 8 40.5 1 6 15.5
65.0 7 7 40.0 2 3 15.0
64.5 6 5 39.5 3 5 14.5
64.0 4 8 39.0 2 4 14.0
63.5 8 5 38.5 5 1 13.5 2
63.0 9 9 38.0 5 13.0
62.5 9 7 37.5 1 3 12.5
62.0 5 7 37.0 2 1 12.0 3 1
61.5 6 12 36.5 2 1 11.5
61.0 3 9 36.0 9 6 11.0 1
60.5 3 5 35.5 3 1 10.5
60.0 10 9 35.0 3 10.0
59.5 8 10 34.5 1 2 9.5
59.0 2 7 34.0 1 9.0
58.5 4 2 33.5 2 8.5
58.0 7 8 33.0 3 8.0
57.5 4 5 32.5 1 2 7.5
57.0 2 4 32.0 3 3 7.0
56.5 6 7 31.5 1 6.5
56.0 2 6 31.0 1 6.0 1 1
55.5 5 9 30.5 3 5.5
55.0 2 1 30.0 8 10 5.0
54.5 5 5 29.5 1 2 4.5
54.0 7 5 29.0 3 4.0
53.5 4 9 28.5 1 3 3.5
53.0 8 5 28.0 3.0
52.5 3 5 27.5 2.5
52.0 7 8 27.0 3 2.0
51.5 6 4 26.5 1 2 1.5
51.0 5 5 26.0 1 1.0
50.5 4 13 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Illinois
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
140.5 1
131.0 1
127.5 1
126.5 1
125.5 1
124.0 1
123.0 1
122.0 2
121.5 1
120.5 1
119.5 1
119.0 1
117.0 1
116.0 7
114.5 1
113.5 2
112.5 2
111.5 1 1
111.0 3
110.0 5
109.0 2
108.5 2
108.0 2 1
107.5 1
106.5 1 2
106.0 3
105.5 2 2
105.0 3 3
104.5 1
104.0 5
103.5 1
103.0 1 7 1
102.0 2 3 1
101.5 2 1 1
101.0 1
100.5 10 1
100.0 2
99.5 1 7
99.0 4 1
98.5 3 5
98.0 3 4
97.5 2
97.0 1 9
96.5 1 1
96.0 4 7
95.5 2 3
95.0 2
94.5 3 9
94.0 1
93.5 5 11
93.0 1
92.5 1 1 6
92.0 1 5 1
91.5 3
91.0 5 3
90.5 3 1
90.0 2 8
89.5 2
89.0 3 12
88.5 4 7 2
88.0 3 1
87.5 4 9 1
87.0 1
86.5 5 7 2
86.0 1 2 1
85.5 1 3
85.0 4 6
84.0 3 11
83.5 2 3
83.0 7 11
82.5 3 3
82.0 1 5
81.5 2 6
81.0 1 4
80.5 7 12
80.0 2 11
79.5 2 11 1
79.0 5 8
78.5 2 5
78.0 5 11
77.5 2 7
77.0 3 10
76.5 1 4
76.0 5 9
75.5 11 7
75.0 3 8
74.5 7 10 1
74.0 1 10
73.5 6 7
73.0 4 7
72.5 8 8 1
72.0 9 19
71.5 2 6
71.0 5 10
70.5 2 6
70.0 7 14
69.5 1 1 11
69.0 7 6
68.5 7 6
68.0 7
67.5 10 9
67.0 4 9
66.5 7 4
66.0 6 11 1
65.5 8 4 1
65.0 6 8
64.5 7 4
64.0 5 7
63.5 5 7 3
63.0 1 9 8
62.5 7 10 1
62.0 4 9
61.5 8 11 1
61.0 4 9
60.5 3 5
60.0 14 9
59.5 9 9
59.0 9 1
58.5 4 4
58.0 6 9
57.5 4 6
57.0 5 1
56.5 5 8
56.0 2 7
55.5 12 4
55.0 2 1
54.5 8 3
54.0 9 6
53.5 7 7
53.0 11 4
52.5 7 2
52.0 14 4
51.5 6 5
51.0 5 5
50.5 12 5
50.0 6 2
49.5 6 6
49.0 9 1 1
48.5 5 2
48.0 10 7 2
47.5 2 1
47.0 3 1
46.5 3 2
46.0 6 2 1
45.5 7 4
45.0 4 5
44.5 7 5
44.0 4 4
43.5 1 5
43.0 3 4
42.5 5 1
42.0 8 8
41.5 3 4
41.0 7 2
40.5 5 2
40.0 2 3
39.5 6 2
39.0 2 4
38.5 4 2 1
38.0 3 2 1
37.5 5
37.0 2 1
36.5 1 2
36.0 9 5 1
35.5 2 1 1
35.0 2 1
34.5 2 2
34.0 1
33.5 2
33.0 2 1
32.5 1 1 1
32.0 3 2 1
31.5 1
31.0 1
30.5 1 2
30.0 8 8 4
29.5 3
29.0 2 2
28.5 1 3
28.0 1
27.0 1 2
26.5 2 2
26.0 1
25.5 1
25.0 1 1
24.5 1
24.0 3 2
23.5 1
23.0 1
22.0 2
21.0 1
20.5 2
20.0 1
19.5 1
18.5 1
18.0 4 4 1
16.0 2
13.5 2
12.0 2 2 1
11.0 1
6.0 1 1
American Mathematics Competitions
2006 AMC 10 B Results for Illinois
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 0.91 0.56 5.26* 1.67 0.87 0.72 0.00
2 5.22* 0.83 0.16 0.27 0.35 3.17 0.00
3 7.46* 0.38 0.05 1.48 0.37 0.27 0.00
4 1.39 1.98 0.41 3.26* 2.02 0.95 0.00
5 0.83 4.74* 2.08 0.37 0.15 1.82 0.01
6 0.55 0.28 2.95 3.57* 0.38 2.26 0.00
7 2.51* 1.74 1.11 0.91 0.76 2.96 0.00
8 1.74 1.31* 0.29 1.40 0.79 4.47 0.01
9 0.10 7.37* 0.22 0.13 1.26 0.92 0.00
10 2.59* 0.59 1.49 0.24 2.05 3.04 0.00
11 0.38 0.75 2.65* 0.50 0.27 5.45 0.00
12 0.29 0.46 0.37 0.45 4.87* 3.56 0.00
13 0.89 0.16 2.51 0.65 2.57* 3.22 0.00
14 0.22 0.27 0.46 0.74* 0.14 8.17 0.00
15 0.70 0.52 1.44* 0.42 0.44 6.47 0.00
16 2.28 0.48 1.86 0.93 1.55* 2.90 0.00
17 2.57 1.25 1.88 2.32* 0.20 1.77 0.00
18 0.47 0.48 0.95 0.42 0.91* 6.76 0.00
19 0.33* 0.57 0.38 0.33 0.33 8.06 0.00
20 0.48 0.32 0.49 0.61 1.10* 7.01 0.00
21 0.65 0.32 0.63* 1.86 0.83 5.71 0.00
22 0.36 0.82 1.85 0.70* 0.16 6.11 0.00
23 0.27 0.87 0.35 0.43* 0.26 7.81 0.01
24 0.22 1.59* 0.85 0.30 0.31 6.73 0.00
25 0.25 1.83* 0.26 1.97 0.50 5.20 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 Illinois
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 24 11
149.0 124.0 5 99.0 1 3
148.5 123.5 98.5 30 22
148.0 123.0 7 98.0 6 3
147.5 122.5 97.5 10 7
147.0 122.0 4 1 97.0 8 4
146.5 121.5 1 96.5
146.0 121.0 96.0 23 12
145.5 120.5 2 95.5 1 1
145.0 120.0 95.0 40 31
144.5 119.5 13 3 94.5 3 4
144.0 119.0 94.0 3 10
143.5 118.5 11 4 93.5 18 16
143.0 118.0 1 93.0 2 1
142.5 117.5 92.5 23 20
142.0 117.0 8 92.0 6 2
141.5 116.5 91.5 14 12
141.0 116.0 5 1 91.0 8 4
140.5 115.5 1 90.5 3 9
140.0 115.0 9 2 90.0 19 15
139.5 1 114.5 3 89.5 1 1
139.0 114.0 89.0 52 28
138.5 113.5 6 2 88.5 6 1
138.0 113.0 88.0 9 8
137.5 112.5 19 5 87.5 10 13
137.0 112.0 87.0 3 4
136.5 111.5 11 4 86.5 22 16
136.0 111.0 4 2 86.0 1 5
135.5 110.5 85.5 19 10
135.0 110.0 4 1 85.0 10 5
134.5 109.5 84.5 8 8
134.0 109.0 23 1 84.0 12 13
133.5 2 108.5 83.5 2 4
133.0 108.0 20 17 83.0 38 24
132.5 1 107.5 8 2 82.5 5 7
132.0 107.0 82.0 10 21
131.5 106.5 10 4 81.5 11 8
131.0 106.0 1 81.0 1 9
130.5 105.5 32 6 80.5 17 13
130.0 3 105.0 80.0 6 5
129.5 104.5 15 15 79.5 14 13
129.0 3 104.0 6 3 79.0 5 8
128.5 103.5 1 78.5 7 12
128.0 103.0 14 4 78.0 19 10
127.5 102.5 2 1 77.5 6 11
127.0 102.0 31 23 77.0 16 26
126.5 5 1 101.5 5 1 76.5 5 9
126.0 2 101.0 35 21 76.0 10 12
125.5 3 1 100.5 11 1 75.5 7 9
American Mathematics Competitions
2006 AMC 12 B Results for Illinois
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 12 50.0 1 25.0
74.5 8 8 49.5 2 24.5 1
74.0 7 6 49.0 24.0 1 2
73.5 7 9 48.5 1 23.5
73.0 6 8 48.0 3 4 23.0
72.5 6 8 47.5 1 1 22.5
72.0 8 9 47.0 2 22.0
71.5 3 7 46.5 1 21.5
71.0 13 17 46.0 21.0
70.5 4 5 45.5 20.5
70.0 4 9 45.0 1 20.0
69.5 6 5 44.5 1 2 19.5
69.0 7 8 44.0 2 1 19.0
68.5 4 6 43.5 18.5
68.0 4 4 43.0 1 1 18.0 2
67.5 3 4 42.5 1 17.5
67.0 3 4 42.0 2 17.0
66.5 3 5 41.5 1 1 16.5
66.0 9 11 41.0 1 1 16.0
65.5 2 4 40.5 1 15.5
65.0 3 4 40.0 15.0
64.5 3 6 39.5 14.5
64.0 2 4 39.0 14.0
63.5 3 7 38.5 13.5
63.0 4 4 38.0 1 13.0
62.5 7 5 37.5 1 12.5
62.0 5 2 37.0 1 12.0 1
61.5 4 5 36.5 1 11.5
61.0 1 7 36.0 3 11.0
60.5 3 4 35.5 10.5
60.0 3 5 35.0 10.0
59.5 4 3 34.5 1 9.5
59.0 6 6 34.0 9.0
58.5 5 5 33.5 8.5
58.0 2 5 33.0 1 1 8.0
57.5 2 2 32.5 7.5 1
57.0 1 2 32.0 7.0
56.5 2 5 31.5 1 6.5
56.0 2 2 31.0 6.0
55.5 1 2 30.5 5.5
55.0 2 30.0 2 2 5.0
54.5 2 29.5 4.5
54.0 3 5 29.0 4.0
53.5 1 2 28.5 3.5
53.0 2 4 28.0 3.0
52.5 1 4 27.5 2.5
52.0 1 1 27.0 1 2.0
51.5 2 1 26.5 1.5
51.0 26.0 1.0
50.5 2 3 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Illinois
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
139.5 1
133.5 1 1
132.5 1
130.0 3
129.0 3
126.5 1 2 3
126.0 1 1
125.5 3 2
125.0 1
124.0 1 1 1 2
123.0 1 3 3
122.0 1 4
121.5 1
120.5 1 1
119.5 1 2 6 7
118.5 3 7 5
118.0 1
117.0 1 4 3
116.0 1 3 2
115.5 1
115.0 2 3 6
114.5 3
113.5 2 4 1 1
112.5 1 5 11 9
111.5 1 6 9 1
111.0 1 1 2 2
110.0 1 2 2
109.0 6 9 9
108.0 6 14 18
107.5 1 6 3
106.5 1 4 2 7
106.0 1
105.5 1 21 17
104.5 6 15 9
104.0 4 5
103.5 1
103.0 2 3 4 10
102.5 1 2
102.0 1 4 24 27
101.5 1 3 2
101.0 1 1 2 29 26
100.5 3 7 3 2
99.5 1 7 18 11
99.0 2 2
98.5 6 27 20
98.0 1 6 2
97.5 5 13
97.0 2 5 6
96.0 1 14 22
95.5 1 1
95.0 2 10 35 31 2
94.5 1 4 3
94.0 1 8 6
93.5 1 15 18
93.0 1 2
92.5 2 21 22 1
92.0 4 4
91.5 2 3 13 8
91.0 1 4 9
90.5 6 6
90.0 2 18 14 1
89.5 1 1
89.0 1 9 32 42 2
88.5 4 3
88.0 1 12 4 1
87.5 2 15 8
87.0 6 3
86.5 4 24 11
86.0 5 1
85.5 2 15 14
85.0 8 8
84.5 1 12 3 1
84.0 3 13 10
83.5 5 1
83.0 1 2 30 30
82.5 9 4
82.0 1 20 12
81.5 2 9 8
81.0 9 1
80.5 1 1 16 12
80.0 1 1 5 3 1
79.5 3 18 6 1
79.0 10 3
78.5 1 10 8
78.0 2 16 12
77.5 10 7
77.0 5 25 13
76.5 1 9 4
76.0 1 10 11
75.5 6 11
75.0 9 7
74.5 1 1 6 8
74.0 2 8 4
73.5 2 12 2 1
73.0 2 6 6
72.5 9 5
72.0 2 10 6
71.5 2 5 4
71.0 2 24 5
70.5 1 1 5 3
70.0 1 8 4
69.5 5 6
69.0 8 8
68.5 5 4 1
68.0 1 4 3
67.5 8 2
67.0 7 1
66.5 3 3 3
66.0 8 11 1
65.5 6 1 1
65.0 5 3
64.5 8 2 1
64.0 1 1 4
63.5 6 4
63.0 2 4 2
62.5 9 3
62.0 1 3 3
61.5 6 3
61.0 1 4 3
60.5 6 1 1
60.0 1 4 5
59.5 3 3 1
59.0 1 7 4
58.5 4 5 1
58.0 3 4
57.5 2 2
57.0 2 1
56.5 6 1
56.0 1 3
55.5 1 1 1
55.0 1 1
54.5 3
54.0 7 2
53.5 3
53.0 2 4
52.5 4 1
52.0 1 1
51.5 2 1
50.5 3 2
50.0 1
49.5 1 1
48.5 1
48.0 3 5
47.5 1 1
47.0 1 1
46.5 1
45.0 1
44.5 1 3
44.0 2 1
43.0 2
42.5 1
42.0 1 1
41.5 2
41.0 2
40.5 1
38.0 1
37.5 1
37.0 1
36.5 1
36.0 1 2
34.5 1
33.0 1 1
31.5 1
30.0 4
27.0 1
25.5 1
24.5 1
24.0 1 2
18.0 1 1
12.0 1
7.5 1
American Mathematics Competitions
2006 AMC 12 B Results for Illinois
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 0.35 0.30 8.08* 0.84 0.26 0.16 0.00
2 7.79* 0.37 0.03 0.08 0.24 1.49 0.00
3 8.53* 0.21 0.03 0.74 0.32 0.18 0.00
4 9.32* 0.23 0.11 0.16 0.04 0.14 0.00
5 7.17* 0.80 0.28 0.21 0.13 1.41 0.00
6 0.03 8.74* 0.11 0.07 0.58 0.47 0.00
7 0.43 8.40* 0.39 0.32 0.12 0.35 0.00
8 0.16 0.20 0.21 0.33 7.42* 1.69 0.00
9 0.42 4.62* 0.27 0.73 0.35 3.61 0.00
10 3.35* 0.58 1.22 0.14 2.37 2.34 0.00
11 0.71 0.09 1.07 0.81 4.84* 2.48 0.00
12 0.49 0.44 0.40 1.29* 0.50 6.89 0.00
13 0.51 0.43 2.56* 0.15 0.45 5.89 0.00
14 0.15 0.46 1.91 1.93* 0.07 5.47 0.00
15 0.24 2.94* 0.70 0.31 0.16 5.65 0.00
16 0.24 0.19 1.38* 0.21 0.14 7.82 0.00
17 0.57 0.18 1.43* 1.33 0.40 6.09 0.00
18 0.36 0.62* 1.01 0.26 0.19 7.56 0.00
19 0.09 2.17* 0.14 1.24 0.26 6.10 0.00
20 0.14 0.24 0.18* 0.15 0.57 8.72 0.00
21 0.15 0.12 0.24* 0.12 0.10 9.27 0.00
22 0.10 0.26* 0.22 0.13 0.06 9.23 0.00
23 0.21 0.14 0.36 0.20 0.11* 8.98 0.00
24 0.14 0.17 0.17* 0.16 0.06 9.30 0.00
25 0.08 0.16* 0.22 0.22 0.06 9.25 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column