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Missing Title
American Mathematics Competitions
2005 AMC 10 A Results for Illinois
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3596
Number of unofficial participants: 0
Average score of participants: 73.6
Average score for female students is: 70.7 ( 1566 Students)
Average score for male students is: 76.5 ( 1764 Students)
Average score for unspecified gender is 71.6 ( 266 Students)
Average score for grade 10 is: 75.0 ( 1763 Students)
Average score for grade 9 is: 71.9 ( 1612 Students)
Average score for grade 8 and below is: 84.1 ( 57 Students)
Average score with unknown grade: 71.4 ( 164 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 23
Number of schools returning results 90
Average school winning score 104.51
American Mathematics Competitions
2005 AMC 12 A Results for Illinois
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4760
Number of unofficial participants: 0
Average score of participants: 79.9
Average score for female students is: 75.1 ( 1979 Students)
Average score for male students is: 83.7 ( 2571 Students)
Average score for unspecified gender is 79.2 ( 210 Students)
Average score for grade 13 is: 82.5 ( 2 Students)
Average score for grade 12 is: 81.9 ( 2009 Students)
Average score for grade 11 is: 77.6 ( 2193 Students)
Average score for grade 10 is: 83.3 ( 380 Students)
Average score for grade 9 is: 82.2 ( 101 Students)
Average score with unknown grade: 74.4 ( 75 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 575
Number of schools returning results 101
Average school winning score 109.96
Average school team score 312.06
American Mathematics Competitions
2005 AMC 10 B Results for Illinois
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1156
Number of unofficial participants: 0
Average score of participants: 82.4
Average score for female students is: 80.2 ( 554 Students)
Average score for male students is: 84.8 ( 554 Students)
Average score for unspecified gender is 80.8 ( 48 Students)
Average score for grade 10 is: 84.8 ( 686 Students)
Average score for grade 9 is: 79.4 ( 439 Students)
Average score for grade 8 and below is: 65.0 ( 13 Students)
Average score with unknown grade: 78.4 ( 18 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 22
Number of schools returning results 28
Average school winning score 109.77
American Mathematics Competitions
2005 AMC 12 B Results for Illinois
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1605
Number of unofficial participants: 0
Average score of participants: 86.7
Average score for female students is: 83.7 ( 683 Students)
Average score for male students is: 89.0 ( 862 Students)
Average score for unspecified gender is 87.3 ( 60 Students)
Average score for grade 13 is: 80.5 ( 1 Student)
Average score for grade 12 is: 87.6 ( 648 Students)
Average score for grade 11 is: 85.3 ( 772 Students)
Average score for grade 10 is: 90.0 ( 139 Students)
Average score for grade 9 is: 91.1 ( 20 Students)
Average score with unknown grade: 87.5 ( 25 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 267
Number of schools returning results 34
Average school winning score 108.97
Average school team score 305.65
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
412.0 1 1
407.5 1 2
404.0 1 3
402.5 1 4
397.0 2 5
386.5 1 7
383.5 1 8
379.5 1 9
376.0 2 10
375.5 1 12
372.5 1 1 13
369.0 1 15
365.5 2 16
358.5 1 18
354.0 2 19
352.0 1 21
351.5 1 22
349.5 2 1 23
349.0 1 26
348.0 1 27
345.5 1 28
344.5 1 29
344.0 1 1 30
343.5 1 32
342.0 1 33
341.0 1 34
338.5 1 35
336.5 1 36
335.5 2 37
334.5 1 39
334.0 1 40
333.0 3 41
332.0 1 44
331.5 1 1 45
329.0 2 47
328.5 2 49
328.0 1 51
327.5 2 52
327.0 2 54
326.5 1 56
325.5 1 57
324.0 1 58
323.0 1 59
322.0 1 60
321.5 1 61
320.0 1 62
318.5 3 63
317.5 2 66
316.5 1 68
314.5 1 69
312.0 1 70
311.0 1 71
310.5 1 72
309.5 1 1 73
307.5 1 75
307.0 1 76
305.0 1 77
303.5 1 78
302.5 1 79
302.0 1 80
301.5 1 81
300.5 1 1 82
300.0 2 84
298.5 1 86
298.0 1 1 87
297.0 1 89
296.5 1 90
294.5 1 91
294.0 1 92
292.0 1 93
291.5 1 94
289.5 1 95
289.0 1 96
286.5 1 97
285.5 1 98
285.0 1 99
284.5 1 100
282.5 1 101
282.0 1 102
281.5 1 103
280.5 1 104
280.0 1 105
279.0 1 106
278.5 1 1 107
278.0 1 109
277.0 1 110
274.5 1 1 111
273.0 1 113
269.5 1 114
268.5 1 115
263.5 1 116
262.5 1 117
261.5 1 118
254.5 1 1 119
253.0 2 121
252.5 1 123
250.0 1 124
246.0 1 125
241.5 1 126
236.0 1 127
233.5 1 128
231.5 1 129
228.5 1 130
223.0 1 131
222.0 1 132
211.0 1 133
112.5 1 134
93.5 1 135
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
146.5 1
143.0 1
140.5 1 1
139.5 1
138.0 3 1
137.0 1 2 1
136.0 1 1 1
133.5 4 2 1
132.5 2 1 1
132.0 1 1 2
131.0 2
130.0 1 5 1 2
129.0 4 1 3
127.5 2 2 1
126.5 6 2 2
126.0 1
125.5 5 1 1 1
125.0 3 1 2 2
124.0 5 1
123.0 9 1 2 4
122.5 1
122.0 3 2 1
121.5 2 1
120.5 2 3 5 2
120.0 2 3 1
119.5 9 2 3 4
119.0 1
118.5 10 1
118.0 4 2 4
117.0 4 1 7 2
116.0 9 5 9 7
115.5 3 1
115.0 17 9 1
114.5 1 6
113.5 3 4 8 4
113.0 1
112.5 17 7 2 5
112.0 4 2
111.5 23 9 2 3
111.0 2 4 13 5
110.5 1
110.0 18 2 17 12
109.5 1 2 1
109.0 25 11 7 7
108.5 3 2 8 4
108.0 34 17 6 2
107.5 10 9 5
107.0 3
106.5 25 10 13 7
106.0 1 1 3 3
105.5 49 20 12 6
105.0 3 2 12 1
104.5 41 16 3 3
104.0 14 9 18 12
103.5 1 4
103.0 33 15 15 10
102.5 6 3 4
102.0 53 35 15 4
101.5 11 3 10 7
101.0 66 32 6 4
100.5 23 20 16 9
100.0 3
99.5 51 30 19 7
99.0 7 1 7 5
98.5 78 24 22 5
98.0 14 7 24 17
97.5 21 15 9 2
97.0 32 18 24 8
96.5 5 1 4
96.0 81 40 30 19
95.5 9 5 8 7
95.0 130 50 20 17
94.5 17 11 25 12
94.0 33 7 8 6
93.5 45 26 24 29
93.0 3 5 5 3
92.5 75 41 34 18
92.0 14 3 16 10
91.5 49 25 21 7
91.0 30 21 20 13
90.5 40 9 14 10
90.0 61 54 24 26
89.5 12 6 18 8
89.0 111 75 48 24
88.5 22 15 20 6
88.0 62 22 34 10
87.5 42 31 24 19
87.0 34 17 14 7
86.5 75 37 52 26
86.0 6 7 16 13
85.5 86 26 38 15
85.0 30 17 36 13
84.5 49 27 28 9
84.0 58 32 31 17
83.5 27 10 25 12
83.0 120 54 53 20
82.5 19 4 24 10
82.0 79 20 47 16
81.5 46 19 27 14
81.0 59 16 38 9
80.5 62 33 34 22
80.0 38 8 26 11
79.5 74 15 52 16
79.0 25 11 26 6
78.5 60 20 37 13
78.0 51 25 47 8
77.5 52 9 41 10
77.0 90 34 58 25
76.5 26 10 21 12
76.0 69 22 51 17
75.5 36 13 27 12
75.0 87 7 43 9
74.5 54 21 41 18
74.0 56 4 40 12
73.5 70 14 55 19
73.0 32 14 24 6
72.5 60 8 54 16
72.0 45 11 47 9
71.5 51 9 52 7
71.0 63 17 41 11
70.5 34 9 24 6
70.0 39 12 61 8
69.5 30 11 29 12
69.0 45 4 45 5
68.5 34 9 31 3
68.0 43 4 49 13
67.5 37 6 48 13
67.0 41 8 30 10
66.5 61 5 51 9
66.0 36 16 49 11
65.5 35 4 35 10
65.0 53 17 33 5
64.5 36 3 33 9
64.0 34 3 39 6
63.5 20 7 22 6
63.0 36 6 41 8
62.5 29 8 30 10
62.0 24 8 32 6
61.5 35 2 42 6
61.0 31 5 30 6
60.5 33 1 26 7
60.0 25 6 37 9
59.5 24 2 25 5
59.0 32 6 35 6
58.5 14 1 25 6
58.0 31 1 30 3
57.5 15 2 26 2
57.0 19 5 22 1
56.5 28 2 21 3
56.0 19 5 17 2
55.5 20 23 3
55.0 18 18 9
54.5 12 2 15 2
54.0 22 4 32 4
53.5 11 23
53.0 14 1 21 6
52.5 12 18 1
52.0 14 3 12 4
51.5 11 1 18 2
51.0 13 17 3
50.5 14 19 4
50.0 6 18 2
49.5 7 2 11 1
49.0 9 9
48.5 7 2 18
48.0 17 1 30 1
47.5 6 1 9 1
47.0 11 12
46.5 6 10 1
46.0 3 1 6 1
45.5 10 8 1
45.0 4 11 2
44.5 8 1 12
44.0 7 9
43.5 4 1 7 1
43.0 7 12 1
42.5 3 6
42.0 18 1 15 2
41.5 3 9 3
41.0 2 9
40.5 1 7
40.0 1 4
39.5 4 5 2
39.0 2 1 7
38.5 4 2
38.0 3 1 6 1
37.5 1 2
37.0 3 3
36.5 2 5
36.0 14 1 18
35.5 3 4 1
35.0 2 3
34.5 2 3
34.0 5 2
33.5 1 2
33.0 1
32.5 1 3
32.0 1 3
31.5 2
31.0 3
30.5 2
30.0 10 1 10 2
29.5 1
29.0 1 1
28.5 1
28.0 2
27.5 1
27.0 1 2
26.5 1 1
26.0 2
25.5 1
24.5 1 1
24.0 4 9
23.0 1 1
22.0 2
20.5 1 1 1
19.5 1
18.5 1
18.0 1 5 1
17.0 1
13.5 1
8.5 1
American Mathematics Competitions
2005 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 2 100.0 1 2
149.5 124.5 99.5 15 4
149.0 124.0 1 99.0 4 3
148.5 123.5 98.5 13 8
148.0 123.0 2 98.0 16 7
147.5 122.5 1 97.5 4 5
147.0 122.0 2 97.0 17 5
146.5 1 121.5 96.5 3 1
146.0 121.0 96.0 16 13
145.5 120.5 3 2 95.5 5 3
145.0 120.0 95.0 10 7
144.5 119.5 2 1 94.5 11 12
144.0 119.0 1 94.0 6 2
143.5 118.5 1 93.5 10 11
143.0 118.0 3 1 93.0 5
142.5 117.5 92.5 23 10
142.0 117.0 7 92.0 10 6
141.5 116.5 91.5 14 3
141.0 116.0 7 1 91.0 8 9
140.5 115.5 1 2 90.5 7 5
140.0 115.0 90.0 17 7
139.5 114.5 5 1 89.5 13 4
139.0 114.0 89.0 26 19
138.5 113.5 7 1 88.5 14 4
138.0 113.0 1 88.0 21 10
137.5 112.5 2 87.5 11 10
137.0 1 112.0 4 87.0 12 2
136.5 111.5 1 86.5 32 19
136.0 111.0 5 7 86.0 10 6
135.5 110.5 1 85.5 20 15
135.0 110.0 12 4 85.0 17 17
134.5 109.5 2 84.5 12 13
134.0 109.0 4 2 84.0 12 17
133.5 1 108.5 4 2 83.5 12 13
133.0 108.0 3 3 83.0 22 23
132.5 107.5 8 1 82.5 8 15
132.0 2 107.0 2 1 82.0 25 19
131.5 106.5 10 3 81.5 13 14
131.0 106.0 2 1 81.0 19 16
130.5 105.5 7 4 80.5 18 11
130.0 1 105.0 10 2 80.0 10 15
129.5 104.5 2 1 79.5 25 21
129.0 3 104.0 11 6 79.0 14 12
128.5 103.5 3 1 78.5 17 13
128.0 103.0 9 4 78.0 20 25
127.5 102.5 3 77.5 17 16
127.0 102.0 11 4 77.0 32 20
126.5 101.5 8 2 76.5 12 9
126.0 101.0 3 2 76.0 19 27
125.5 1 100.5 10 6 75.5 13 12
American Mathematics Competitions
2005 AMC 10 A Results for Illinois
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 16 24 50.0 8 10 25.0
74.5 17 21 49.5 3 8 24.5 1
74.0 17 18 49.0 3 6 24.0 2 4
73.5 25 26 48.5 6 12 23.5
73.0 11 10 48.0 14 14 23.0 1
72.5 20 29 47.5 5 4 22.5
72.0 20 25 47.0 9 2 22.0 1 1
71.5 22 27 46.5 4 5 21.5
71.0 26 12 46.0 1 4 21.0
70.5 9 15 45.5 3 3 20.5 1
70.0 27 30 45.0 3 7 20.0
69.5 13 10 44.5 6 6 19.5
69.0 20 21 44.0 4 3 19.0
68.5 13 17 43.5 3 3 18.5 1
68.0 23 25 43.0 6 6 18.0 2 3
67.5 24 19 42.5 2 4 17.5
67.0 15 15 42.0 4 9 17.0
66.5 26 21 41.5 4 4 16.5
66.0 35 11 41.0 2 4 16.0
65.5 15 15 40.5 3 3 15.5
65.0 14 18 40.0 1 3 15.0
64.5 19 13 39.5 3 2 14.5
64.0 22 16 39.0 1 4 14.0
63.5 6 12 38.5 1 1 13.5
63.0 19 16 38.0 5 13.0
62.5 16 14 37.5 2 12.5
62.0 14 15 37.0 3 12.0
61.5 17 20 36.5 2 3 11.5
61.0 13 13 36.0 7 10 11.0
60.5 11 14 35.5 1 3 10.5
60.0 19 14 35.0 3 10.0
59.5 13 12 34.5 2 1 9.5
59.0 13 19 34.0 1 1 9.0
58.5 10 12 33.5 1 1 8.5 1
58.0 14 14 33.0 8.0
57.5 13 11 32.5 2 7.5
57.0 9 11 32.0 1 1 7.0
56.5 7 11 31.5 6.5
56.0 7 10 31.0 6.0
55.5 9 14 30.5 5.5
55.0 11 5 30.0 5 4 5.0
54.5 7 8 29.5 1 4.5
54.0 15 15 29.0 4.0
53.5 9 12 28.5 3.5
53.0 6 11 28.0 2 3.0
52.5 3 13 27.5 1 2.5
52.0 6 5 27.0 2 2.0
51.5 3 15 26.5 1 1.5
51.0 8 9 26.0 2 1.0
50.5 7 11 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Illinois
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
146.5 1
137.0 1
133.5 1
132.0 1 1
130.0 1
129.0 1 2
125.5 1
125.0 2
124.0 1
123.0 2
122.5 1
122.0 1 1
120.5 4 1
119.5 3
119.0 1
118.5 1
118.0 3 1
117.0 2 5
116.0 3 5 1
115.5 1 2
114.5 2 4
113.5 7 1
113.0 1
112.5 2
112.0 1 2 1
111.5 1 1
111.0 6 7
110.5 1
110.0 1 6 10
109.5 2
109.0 1 5 1
108.5 1 3 4
108.0 3 3
107.5 2 7
107.0 1 2
106.5 8 5
106.0 2 1
105.5 4 7 1
105.0 2 10
104.5 1 2
104.0 4 13 1
103.5 1 3
103.0 6 8 1
102.5 2 1
102.0 1 6 8
101.5 5 5
101.0 1 4 1
100.5 6 10
100.0 1 2
99.5 6 13
99.0 4 3
98.5 8 13 1
98.0 2 13 8 1
97.5 7 2
97.0 3 2 4 14 1
96.5 2 2
96.0 2 13 14 1
95.5 2 6
95.0 8 11 1
94.5 7 18
94.0 1 3 4
93.5 7 15 2
93.0 5
92.5 13 19 2
92.0 1 1 7 7
91.5 5 12 4
91.0 8 9 3
90.5 8 5 1
90.0 11 13
89.5 6 11 1
89.0 18 27 3
88.5 2 9 8 1
88.0 15 17 2
87.5 9 14 1
87.0 8 6
86.5 1 3 21 26 1
86.0 8 8
85.5 19 16 3
85.0 1 11 23 1
84.5 1 13 12 2
84.0 12 19
83.5 1 1 9 14
83.0 22 28 3
82.5 1 10 12 1
82.0 1 1 18 25 2
81.5 2 5 19 1
81.0 1 2 14 18 3
80.5 16 14 4
80.0 13 13
79.5 28 21 3
79.0 11 15
78.5 18 16 3
78.0 1 17 29
77.5 19 19 3
77.0 25 30 3
76.5 1 8 12
76.0 1 21 27 2
75.5 13 13 1
75.0 2 21 17 3
74.5 1 20 17 3
74.0 1 17 18 4
73.5 1 25 28 1
73.0 1 11 10 2
72.5 26 26 2
72.0 2 19 25 1
71.5 26 23 3
71.0 1 19 19 2
70.5 14 10
70.0 30 29 2
69.5 17 10 2
69.0 1 18 22 4
68.5 12 17 2
68.0 25 22 2
67.5 24 22 2
67.0 1 17 12
66.5 24 23 4
66.0 22 25 2
65.5 22 9 4
65.0 14 19
64.5 15 17 1
64.0 1 17 20 1
63.5 12 7 3
63.0 17 20 4
62.5 16 14
62.0 12 18 2
61.5 22 18 2
61.0 17 11 2
60.5 16 10
60.0 17 16 4
59.5 13 12
59.0 1 21 12 1
58.5 9 15 1
58.0 1 18 11
57.5 10 15 1
57.0 14 8
56.5 15 5 1
56.0 8 9
55.5 1 19 3
55.0 9 7 2
54.5 6 9
54.0 14 16 2
53.5 12 10 1
53.0 1 7 12 1
52.5 9 7 2
52.0 1 7 2 2
51.5 12 6
51.0 8 9
50.5 13 6
50.0 8 10
49.5 5 6
49.0 3 6
48.5 8 10
48.0 15 14 1
47.5 4 5
47.0 6 4 2
46.5 5 5
46.0 5 1
45.5 5 2 1
45.0 6 5
44.5 5 7
44.0 4 5
43.5 3 3 1
43.0 6 6
42.5 4 2
42.0 6 8 1
41.5 3 5 1
41.0 6 2 1
40.5 2 5
40.0 3 1
39.5 1 4
39.0 1 5 1
38.5 1 1
38.0 1 4 1
37.5 2
37.0 3
36.5 3 2
36.0 10 8
35.5 2 2
35.0 2 1
34.5 1 2
34.0 1 1
33.5 1 1
32.5 1 1 1
32.0 2 1
30.0 3 6 1
29.5 1
28.0 1 1
27.5 1
27.0 2
26.5 1
26.0 2
25.5 1
24.5 1
24.0 4 2 3
23.0 1
22.0 1 1
20.5 1
18.5 1
18.0 2 3
8.5 1
American Mathematics Competitions
2005 AMC 10 A Results for Illinois
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 0.20 0.11 0.29 8.79* 0.38 0.23 0.00
2 0.17 0.19 5.75* 0.09 1.54 2.27 0.00
3 0.03 8.94* 0.28 0.34 0.11 0.29 0.00
4 0.56 1.79* 1.88 0.62 0.56 4.59 0.00
5 6.02* 0.36 3.34 0.09 0.05 0.14 0.00
6 0.28 4.96* 3.13 0.10 0.08 1.44 0.00
7 0.76 3.62* 0.34 0.50 0.74 4.02 0.00
8 1.09 0.30 4.33* 0.14 0.12 4.02 0.00
9 1.21 5.53* 1.00 0.21 0.21 1.83 0.00
10 1.84* 0.53 0.96 0.42 0.14 6.11 0.00
11 0.57 2.16* 0.23 0.69 0.09 6.26 0.00
12 0.31 1.29* 0.61 0.24 0.63 6.91 0.00
13 1.43 0.60 0.38 0.33 1.05* 6.22 0.00
14 0.79 0.64 0.38 0.50 2.22* 5.47 0.00
15 0.50 0.78 0.76 1.20 1.04* 5.71 0.00
16 0.60 0.33 0.68 2.24* 0.12 6.03 0.00
17 0.28 0.33 0.43 1.87* 0.45 6.65 0.00
18 1.45* 2.08 1.16 3.01 0.26 2.04 0.00
19 0.41 0.72 0.76 3.18* 0.57 4.34 0.00
20 0.63* 0.44 0.56 0.43 0.31 7.63 0.00
21 1.57 0.77* 0.28 0.30 0.60 6.48 0.00
22 0.76 0.47 0.29 2.31* 0.52 5.66 0.00
23 0.22 0.40 1.13* 0.92 0.70 6.63 0.00
24 1.13 0.80* 0.31 0.23 0.08 7.46 0.00
25 0.31 0.58 0.83 0.71* 0.11 7.46 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 Illinois
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 2 100.0
149.5 124.5 99.5 34 16
149.0 124.0 5 99.0 6 1
148.5 123.5 98.5 58 20
148.0 123.0 9 98.0 12 2
147.5 122.5 97.5 16 4
147.0 122.0 3 97.0 23 8
146.5 121.5 2 96.5 1 4
146.0 121.0 96.0 48 26
145.5 120.5 2 95.5 4 5
145.0 120.0 1 1 95.0 88 35
144.5 119.5 9 94.5 10 6
144.0 119.0 94.0 17 15
143.5 118.5 7 3 93.5 27 14
143.0 1 118.0 3 93.0 2 1
142.5 117.5 92.5 42 27
142.0 117.0 3 1 92.0 11 3
141.5 116.5 91.5 21 25
141.0 116.0 7 2 91.0 19 9
140.5 115.5 90.5 25 15
140.0 115.0 13 3 90.0 40 17
139.5 114.5 1 89.5 8 4
139.0 114.0 89.0 69 36
138.5 113.5 3 88.5 12 8
138.0 3 113.0 88.0 27 32
137.5 112.5 13 4 87.5 23 18
137.0 1 112.0 87.0 12 20
136.5 111.5 20 2 86.5 43 29
136.0 1 111.0 2 86.0 4 2
135.5 110.5 85.5 51 32
135.0 110.0 14 2 85.0 22 8
134.5 109.5 84.5 22 25
134.0 109.0 20 3 84.0 39 15
133.5 4 108.5 3 83.5 11 14
133.0 108.0 26 6 83.0 69 46
132.5 1 107.5 6 3 82.5 12 6
132.0 1 107.0 82.0 33 44
131.5 106.5 21 3 81.5 27 19
131.0 2 106.0 81.0 34 24
130.5 105.5 37 9 80.5 38 23
130.0 105.0 3 80.0 13 24
129.5 104.5 30 10 79.5 38 32
129.0 4 104.0 9 4 79.0 14 10
128.5 103.5 1 78.5 26 31
128.0 103.0 21 10 78.0 23 25
127.5 2 102.5 5 77.5 25 25
127.0 102.0 37 16 77.0 54 30
126.5 6 101.5 10 1 76.5 11 14
126.0 1 101.0 52 12 76.0 33 36
125.5 3 2 100.5 17 5 75.5 18 16
American Mathematics Competitions
2005 AMC 12 A Results for Illinois
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 46 39 50.0 2 4 25.0
74.5 29 24 49.5 1 6 24.5 1
74.0 34 19 49.0 4 5 24.0 1 3
73.5 31 36 48.5 3 4 23.5
73.0 12 18 48.0 11 6 23.0
72.5 22 36 47.5 2 4 22.5
72.0 28 15 47.0 7 4 22.0
71.5 23 25 46.5 2 4 21.5
71.0 32 27 46.0 2 1 21.0
70.5 10 22 45.5 2 8 20.5 1
70.0 16 21 45.0 3 1 20.0
69.5 17 12 44.5 2 6 19.5 1
69.0 23 20 44.0 2 5 19.0
68.5 17 16 43.5 4 18.5
68.0 24 19 43.0 2 4 18.0 1
67.5 17 17 42.5 3 17.5
67.0 17 23 42.0 5 11 17.0
66.5 19 40 41.5 1 1 16.5
66.0 13 22 41.0 2 16.0
65.5 19 16 40.5 1 15.5
65.0 27 21 40.0 15.0
64.5 14 20 39.5 1 3 14.5
64.0 14 17 39.0 2 14.0
63.5 5 14 38.5 3 1 13.5 1
63.0 17 17 38.0 1 2 13.0
62.5 13 16 37.5 1 12.5
62.0 9 13 37.0 1 1 12.0
61.5 13 20 36.5 1 11.5
61.0 10 17 36.0 5 7 11.0
60.5 13 19 35.5 2 1 10.5
60.0 15 9 35.0 1 1 10.0
59.5 13 9 34.5 2 9.5
59.0 6 24 34.0 5 9.0
58.5 5 8 33.5 1 8.5
58.0 10 20 33.0 8.0
57.5 7 8 32.5 7.5
57.0 9 10 32.0 1 7.0
56.5 11 17 31.5 1 6.5
56.0 10 8 31.0 1 2 6.0
55.5 10 9 30.5 1 1 5.5
55.0 9 9 30.0 3 7 5.0
54.5 5 5 29.5 4.5
54.0 12 9 29.0 1 4.0
53.5 2 8 28.5 1 3.5
53.0 7 6 28.0 3.0
52.5 6 6 27.5 2.5
52.0 4 10 27.0 1 2.0
51.5 2 7 26.5 1 1.5
51.0 4 9 26.0 1.0
50.5 2 12 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Illinois
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
143.0 1
138.0 1 2
137.0 1
136.0 1
133.5 4
132.5 1 1
132.0 1
131.0 2
130.0 1
129.0 1 3
127.5 1 1
126.5 1 4 1
126.0 1
125.5 5
125.0 1 1 1
124.0 1 4
123.0 1 4 4
122.0 1 1 1
121.5 2
120.5 2
120.0 1 1
119.5 1 2 6
118.5 2 2 6
118.0 3 1
117.0 3 1
116.0 1 2 6
115.0 2 3 12
114.5 1
113.5 1 2
112.5 1 3 7 6
111.5 5 9 9
111.0 2
110.0 2 4 6 5 1
109.0 2 10 13
108.5 1 2
108.0 1 2 11 19 1
107.5 1 4 5
106.5 1 2 7 15
106.0 1
105.5 7 20 22
105.0 1 2
104.5 1 6 12 22
104.0 1 3 4 6
103.5 1
103.0 4 19 10
102.5 1 3 2
102.0 1 2 19 31
101.5 1 3 7
101.0 1 6 26 32 1
100.5 1 1 9 12
99.5 1 6 16 28
99.0 2 5
98.5 6 28 44
98.0 2 8 4
97.5 6 15
97.0 1 5 11 14 1
96.5 1 3 1
96.0 3 10 40 27 1
95.5 4 5
95.0 3 9 52 63 3
94.5 1 10 6
94.0 3 16 12 2
93.5 2 5 14 24
93.0 1 2
92.5 1 9 25 36 4
92.0 8 6
91.5 1 4 24 19 1
91.0 1 16 13
90.5 2 4 14 20
90.0 1 5 27 27 1
89.5 1 6 5
89.0 1 6 48 54 1 1
88.5 2 8 11 1
88.0 4 25 33
87.5 3 3 19 17
87.0 2 14 16 2
86.5 5 28 41 1
86.0 1 4 1
85.5 5 7 39 33 2
85.0 2 17 11
84.5 2 2 18 27
84.0 5 29 22 2
83.5 3 12 12
83.0 4 13 50 51 2
82.5 1 9 9
82.0 2 7 41 27 2
81.5 2 22 22
81.0 7 32 19 1
80.5 1 8 30 23
80.0 2 15 21
79.5 1 6 36 28 3
79.0 2 10 13
78.5 1 11 27 20 1
78.0 2 8 23 18
77.5 1 1 28 22
77.0 3 3 49 35
76.5 2 13 10 1
76.0 1 6 32 29 1
75.5 4 16 16
75.0 6 9 44 28
74.5 1 5 25 23
74.0 4 29 21 2
73.5 2 3 34 29 2
73.0 5 12 15
72.5 1 5 31 22 1
72.0 1 3 19 21 1
71.5 2 4 25 19 1
71.0 5 26 31 1
70.5 3 20 11
70.0 1 27 10 1
69.5 1 15 14
69.0 2 4 26 13
68.5 4 10 19 1
68.0 3 2 21 17
67.5 1 4 14 17 1
67.0 2 3 24 11 1
66.5 2 34 23 2
66.0 2 21 13
65.5 1 3 15 16
65.0 1 7 24 20 1
64.5 3 18 15
64.0 3 16 13 2
63.5 1 10 8 1
63.0 3 3 16 13 1
62.5 18 10 1
62.0 14 8 2
61.5 1 2 21 9 2
61.0 3 18 10
60.5 1 5 16 10 1
60.0 2 1 12 10
59.5 5 7 12
59.0 2 20 10
58.5 10 4
58.0 2 14 15
57.5 1 6 8
57.0 1 6 12
56.5 1 1 12 14
56.0 1 10 7 1
55.5 2 12 6
55.0 1 12 5
54.5 7 3 2
54.0 1 14 7
53.5 1 7 2 1
53.0 1 7 5 1
52.5 9 3
52.0 1 6 7
51.5 1 7 3
51.0 1 6 6
50.5 9 5
50.0 5 1
49.5 2 5
49.0 1 5 3
48.5 1 3 3
48.0 1 15 1
47.5 4 2
47.0 9 2
46.5 1 3 2
46.0 3
45.5 1 5 4
45.0 3 1
44.5 1 3 4
44.0 5 2
43.5 4
43.0 1 3 3
42.5 1 1 1
42.0 1 5 10 2
41.5 2 1
41.0 2
40.5 1
39.5 3 1
39.0 1 1
38.5 4
38.0 2 1
37.5 1
37.0 2 1
36.5 2
36.0 1 6 7
35.5 2 1
35.0 2
34.5 1 1
34.0 3 2
33.5 1
32.5 1
32.0 1
31.5 1 1
31.0 3
30.5 2
30.0 7 3
29.0 1
28.5 1
27.0 1
26.5 1
24.5 1
24.0 2 1 1
23.0 1
20.5 1
19.5 1
18.0 1
13.5 1
American Mathematics Competitions
2005 AMC 12 A Results for Illinois
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 0.04 0.07 0.11 9.49* 0.12 0.18 0.00
2 0.02 9.49* 0.16 0.22 0.01 0.10 0.00
3 0.44 4.53* 0.96 0.44 0.45 3.18 0.00
4 7.14* 0.33 2.32 0.07 0.03 0.12 0.00
5 0.20 6.95* 1.66 0.12 0.07 1.00 0.00
6 0.49 5.14* 0.26 0.34 0.71 3.06 0.00
7 0.50 0.15 7.27* 0.07 0.09 1.92 0.00
8 0.33 0.42 0.36 2.03* 0.18 6.69 0.00
9 4.11* 0.36 0.88 0.32 0.13 4.21 0.00
10 0.39 3.04* 0.19 0.51 0.10 5.78 0.00
11 0.95 0.42 0.33 0.46 3.26* 4.58 0.00
12 0.84 0.25 0.16 4.00* 1.24 3.51 0.00
13 0.12 0.23 0.40 2.96* 0.30 5.99 0.00
14 0.30 0.46 3.14 1.20* 0.35 4.55 0.00
15 0.21 0.31 1.40* 0.83 0.84 6.42 0.00
16 0.23 0.25 0.78 0.59* 0.25 7.90 0.00
17 1.71* 0.86 1.14 0.28 0.39 5.62 0.00
18 0.32* 0.38 0.28 0.28 0.23 8.51 0.00
19 0.93 2.27* 0.89 0.45 0.85 4.61 0.00
20 0.30 0.14 0.18 0.11 0.18* 9.08 0.00
21 0.31 0.56 0.41* 0.19 0.04 8.49 0.00
22 0.43 0.60* 0.25 0.23 0.18 8.29 0.00
23 0.50 0.69* 0.17 0.27 0.53 7.84 0.00
24 0.09 0.13* 0.17 0.21 0.03 9.37 0.00
25 0.35 0.23 0.17* 0.20 0.06 8.99 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 Illinois
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 2 100.0
149.5 124.5 99.5 2 4
149.0 124.0 99.0 3 2
148.5 123.5 98.5 1 4
148.0 123.0 3 1 98.0 14 2
147.5 122.5 97.5 1 1
147.0 122.0 1 97.0 6 2
146.5 121.5 1 96.5
146.0 121.0 96.0 10 8
145.5 120.5 1 1 95.5 4 3
145.0 120.0 1 95.0 10 7
144.5 119.5 1 3 94.5 9 3
144.0 119.0 94.0 4 2
143.5 118.5 93.5 14 14
143.0 118.0 93.0 1
142.5 117.5 92.5 7 11
142.0 117.0 2 92.0 6 3
141.5 116.5 91.5 3 4
141.0 116.0 3 2 91.0 8 5
140.5 1 115.5 1 90.5 7 3
140.0 115.0 1 90.0 9 17
139.5 1 114.5 89.5 5 2
139.0 114.0 89.0 7 15
138.5 113.5 4 88.5 3 3
138.0 113.0 88.0 5 5
137.5 112.5 3 2 87.5 14 3
137.0 112.0 2 87.0 3 4
136.5 111.5 2 1 86.5 14 12
136.0 1 111.0 2 3 86.0 6 6
135.5 110.5 85.5 5 8
135.0 110.0 6 5 85.0 7 6
134.5 109.5 1 84.5 4 5
134.0 109.0 5 2 84.0 9 8
133.5 108.5 1 2 83.5 7 5
133.0 108.0 1 1 83.0 7 13
132.5 1 107.5 4 1 82.5 3 5
132.0 107.0 82.0 8 8
131.5 106.5 5 1 81.5 8 4
131.0 106.0 2 1 81.0 4 4
130.5 105.5 3 3 80.5 11 10
130.0 2 105.0 1 80.0 5 6
129.5 104.5 1 2 79.5 6 9
129.0 104.0 6 5 79.0 2 4
128.5 103.5 78.5 5 8
128.0 103.0 6 4 78.0 3 5
127.5 1 102.5 3 1 77.5 6 4
127.0 102.0 3 1 77.0 10 15
126.5 2 101.5 5 2 76.5 9 3
126.0 101.0 1 3 76.0 4 12
125.5 1 100.5 4 5 75.5 4 7
American Mathematics Competitions
2005 AMC 10 B Results for Illinois
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 5 4 50.0 1 1 25.0
74.5 3 14 49.5 1 24.5
74.0 3 9 49.0 24.0
73.5 8 11 48.5 23.5
73.0 2 4 48.0 1 23.0
72.5 5 11 47.5 1 22.5
72.0 5 3 47.0 22.0
71.5 5 2 46.5 1 21.5
71.0 4 5 46.0 1 21.0
70.5 1 5 45.5 1 20.5
70.0 3 5 45.0 2 20.0
69.5 5 7 44.5 19.5
69.0 4 44.0 19.0
68.5 2 1 43.5 18.5
68.0 5 8 43.0 1 18.0 1
67.5 4 9 42.5 17.5
67.0 4 6 42.0 2 17.0 1
66.5 2 6 41.5 2 1 16.5
66.0 4 6 41.0 16.0
65.5 2 7 40.5 15.5
65.0 3 2 40.0 15.0
64.5 5 4 39.5 1 1 14.5
64.0 3 2 39.0 14.0
63.5 4 2 38.5 13.5
63.0 3 5 38.0 1 13.0
62.5 5 2 37.5 12.5
62.0 3 2 37.0 12.0
61.5 4 2 36.5 11.5
61.0 3 3 36.0 11.0
60.5 3 4 35.5 1 10.5
60.0 3 6 35.0 10.0
59.5 4 1 34.5 9.5
59.0 4 2 34.0 9.0
58.5 1 4 33.5 8.5
58.0 2 1 33.0 1 8.0
57.5 2 32.5 7.5
57.0 1 32.0 7.0
56.5 2 1 31.5 6.5
56.0 2 31.0 6.0
55.5 1 1 30.5 5.5
55.0 5 4 30.0 2 5.0
54.5 1 1 29.5 4.5
54.0 2 2 29.0 1 4.0
53.5 28.5 3.5
53.0 4 2 28.0 3.0
52.5 27.5 2.5
52.0 1 3 27.0 2.0
51.5 1 26.5 1.5
51.0 2 1 26.0 1.0
50.5 1 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Illinois
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
140.5 1
139.5 1
136.0 1
132.5 1
130.0 1 1
127.5 1
126.5 1 1
125.5 1
125.0 1 1
123.0 2 2
122.0 1
121.5 1
120.5 2
120.0 1
119.5 1 3
117.0 2
116.0 1 6
115.5 1
115.0 1
113.5 4
112.5 5
112.0 1 1
111.5 3
111.0 2 3
110.0 2 10
109.5 1
109.0 1 6
108.5 2 1 1
108.0 1 1
107.5 1 4
106.5 2 5
106.0 1 2
105.5 1 5
105.0 1
104.5 1 2
104.0 4 8
103.0 4 6
102.5 1 1 2
102.0 1 3
101.5 1 6
101.0 4
100.5 1 8
99.5 1 5 1
99.0 5
98.5 5
98.0 6 11
97.5 2
97.0 2 6
96.0 4 14 1
95.5 5 2
95.0 1 8 8
94.5 3 9
94.0 2 4
93.5 7 21 1
93.0 2 1
92.5 5 13
92.0 1 9
91.5 2 5
91.0 4 9
90.5 2 7 1
90.0 8 18
89.5 3 4 1
89.0 6 17 1
88.5 1 5
88.0 6 4
87.5 7 12
87.0 4 3
86.5 9 17
86.0 4 9
85.5 7 8
85.0 6 7
84.5 4 5
84.0 4 13
83.5 3 9
83.0 8 12
82.5 4 6
82.0 4 12
81.5 5 9
81.0 4 4 1
80.5 11 11
80.0 5 6
79.5 1 7 7 1
79.0 3 3
78.5 9 4
78.0 1 7
77.5 3 7
77.0 8 17
76.5 6 6
76.0 8 8 1
75.5 4 7 1
75.0 4 5
74.5 8 10
74.0 3 9
73.5 11 8
73.0 2 4
72.5 10 6
72.0 5 4
71.5 6 1
71.0 3 7 1
70.5 4 2
70.0 6 2
69.5 4 8
69.0 2 3
68.5 3
68.0 5 8
67.5 7 6
67.0 5 4 1
66.5 5 3 1
66.0 5 6
65.5 1 4 5
65.0 2 3
64.5 2 7
64.0 4 2
63.5 3 3
63.0 5 3
62.5 7 2 1
62.0 1 5
61.5 4 2
61.0 4 1 1
60.5 5 2
60.0 5 4
59.5 3 2
59.0 1 3 2
58.5 3 3
58.0 3
57.5 1 1
57.0 1
56.5 2 1
56.0 2
55.5 2 1
55.0 1 6 2
54.5 2
54.0 2 2
53.0 1 4 1
52.5 1
52.0 1 3
51.5 1 1
51.0 1 2
50.5 2 2
50.0 1 1
49.5 1
48.0 1
47.5 1
46.5 1
46.0 1
45.5 1
45.0 1 1
43.5 1
43.0 1
42.0 1 1
41.5 3
39.5 2
38.0 1
35.5 1
33.0 1
30.0 1 1
29.0 1
18.0 1
17.0 1
American Mathematics Competitions
2005 AMC 10 B Results for Illinois
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 8.67* 0.26 0.39 0.23 0.33 0.12 0.00
2 0.16 0.24 0.10 8.45* 0.22 0.82 0.00
3 0.03 0.70 1.72 6.03* 0.94 0.57 0.00
4 0.54 0.04 0.49 5.19* 0.18 3.55 0.00
5 0.09 0.03 8.86* 0.16 0.23 0.63 0.00
6 0.16 8.47* 0.22 0.22 0.13 0.80 0.00
7 0.93 1.79* 0.29 0.81 0.61 5.55 0.00
8 6.13* 0.12 0.64 0.01 0.03 3.06 0.00
9 0.46 0.49 1.34 5.99* 0.44 1.27 0.00
10 1.80* 0.54 0.31 0.33 0.22 6.79 0.00
11 0.16 0.46 0.12 1.63 1.70* 5.93 0.00
12 0.40 1.04 0.30 0.17 0.24* 7.85 0.00
13 0.42 0.35 1.43* 1.38 0.32 6.11 0.00
14 0.37 0.15 2.15* 1.84 0.29 5.19 0.00
15 0.98 0.41 0.77 4.83* 0.37 2.65 0.00
16 0.29 0.58 0.55 0.46* 0.05 8.07 0.00
17 0.35 3.74* 0.83 0.24 0.13 4.71 0.00
18 0.29 4.65 0.97 2.25* 0.40 1.44 0.00
19 0.40 5.77* 0.45 0.35 0.29 2.75 0.00
20 0.58 0.23 0.82* 0.20 0.15 8.02 0.00
21 0.14* 0.30 0.22 0.21 0.15 8.97 0.01
22 0.58 0.89 0.48* 0.22 0.20 7.63 0.00
23 2.49 0.53 0.51* 0.12 0.11 6.24 0.00
24 0.21 0.10 0.15 0.21 1.05* 8.30 0.00
25 0.27 0.22 3.37* 0.14 0.09 5.91 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2005 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 14 14
149.0 124.0 99.0 1
148.5 123.5 98.5 11 11
148.0 123.0 1 98.0 5 2
147.5 122.5 97.5 7 8
147.0 122.0 97.0 11 6
146.5 121.5 96.5 1
146.0 121.0 96.0 21 17
145.5 120.5 3 95.5 1 4
145.0 120.0 3 95.0 34 15
144.5 119.5 2 94.5 5 5
144.0 119.0 94.0 3 4
143.5 118.5 93.5 15 10
143.0 118.0 2 93.0 3
142.5 117.5 92.5 21 18
142.0 117.0 1 92.0 2 1
141.5 116.5 91.5 15 9
141.0 116.0 3 1 91.0 16 5
140.5 1 115.5 90.5 4 5
140.0 115.0 7 2 90.0 36 16
139.5 114.5 89.5 2 3
139.0 114.0 89.0 48 25
138.5 113.5 4 88.5 8 7
138.0 113.0 88.0 9 13
137.5 112.5 6 1 87.5 19 11
137.0 2 112.0 87.0 6 11
136.5 111.5 6 2 86.5 16 20
136.0 1 111.0 4 86.0 4 2
135.5 110.5 85.5 11 15
135.0 110.0 1 1 85.0 10 6
134.5 109.5 1 84.5 11 16
134.0 109.0 7 3 84.0 17 11
133.5 2 108.5 2 83.5 5 4
133.0 108.0 11 6 83.0 25 26
132.5 1 107.5 82.5 2 2
132.0 1 107.0 82.0 12 8
131.5 106.5 6 3 81.5 6 11
131.0 106.0 1 81.0 6 9
130.5 105.5 14 6 80.5 15 18
130.0 5 105.0 2 80.0 7 1
129.5 104.5 8 8 79.5 7 8
129.0 1 104.0 6 3 79.0 8 3
128.5 103.5 78.5 9 11
128.0 103.0 13 2 78.0 11 13
127.5 2 102.5 77.5 4 5
127.0 102.0 20 14 77.0 15 17
126.5 2 101.5 2 76.5 6 3
126.0 101.0 17 14 76.0 13 9
125.5 1 100.5 14 5 75.5 7 6
American Mathematics Competitions
2005 AMC 12 B Results for Illinois
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 4 50.0 25.0
74.5 9 10 49.5 1 1 24.5
74.0 2 2 49.0 24.0
73.5 6 8 48.5 2 23.5
73.0 9 4 48.0 1 23.0
72.5 5 3 47.5 1 22.5
72.0 7 4 47.0 22.0
71.5 3 6 46.5 21.5
71.0 8 8 46.0 1 21.0
70.5 5 4 45.5 20.5 1
70.0 5 7 45.0 20.0
69.5 3 5 44.5 1 19.5
69.0 2 2 44.0 19.0
68.5 5 4 43.5 1 18.5
68.0 4 43.0 18.0
67.5 2 4 42.5 17.5
67.0 3 5 42.0 1 17.0
66.5 3 2 41.5 16.5
66.0 9 7 41.0 16.0
65.5 2 2 40.5 15.5
65.0 7 9 40.0 15.0
64.5 1 2 39.5 14.5
64.0 1 2 39.0 1 14.0
63.5 2 4 38.5 13.5
63.0 3 3 38.0 1 13.0
62.5 4 4 37.5 12.5
62.0 3 4 37.0 12.0
61.5 2 36.5 11.5
61.0 3 2 36.0 1 11.0
60.5 1 35.5 10.5
60.0 2 4 35.0 10.0
59.5 1 1 34.5 9.5
59.0 4 2 34.0 9.0
58.5 1 33.5 8.5
58.0 1 33.0 8.0
57.5 2 32.5 7.5
57.0 2 3 32.0 7.0
56.5 2 31.5 6.5
56.0 1 4 31.0 6.0
55.5 30.5 5.5
55.0 30.0 1 5.0
54.5 1 1 29.5 4.5
54.0 1 3 29.0 4.0
53.5 28.5 3.5
53.0 1 28.0 3.0
52.5 27.5 2.5
52.0 3 27.0 2.0
51.5 1 26.5 1.5
51.0 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Illinois
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
140.5 1
138.0 1
137.0 2
136.0 1
133.5 2
132.5 1
132.0 1
130.0 3 2
129.0 1
127.5 2
126.5 2
125.5 1
125.0 1
123.0 1
120.5 2 1
120.0 1 2
119.5 2
118.0 1 1
117.0 1
116.0 3 2
115.0 1 1 4 3
113.5 1 1 2
112.5 2 4 1
111.5 5 4
111.0 1 3
110.0 1 1
109.5 1
109.0 1 2 1 7
108.5 1 1
108.0 1 4 6 6
106.5 5 4 1
106.0 1
105.5 2 8 10
105.0 2
104.5 1 2 4 9
104.0 2 4 3
103.0 9 6
102.0 1 7 12 14 1
101.5 1 1 1
101.0 2 13 15 2
100.5 1 7 11 1
99.5 1 4 15 10
99.0 1
98.5 1 7 4 12
98.0 5 2
97.5 8 7
97.0 3 10 4 1
96.5 1
96.0 7 21 10 2
95.5 1 1 3
95.0 8 25 17
94.5 6 5
94.0 4 3
93.5 1 2 12 11
93.0 2 1 2
92.5 7 16 18
92.0 1 2
91.5 3 15 7
91.0 9 12
90.5 2 2 5
90.0 1 6 20 26 1
89.5 4 2
89.0 3 32 39 1
88.5 1 2 6 5 1
88.0 3 14 5
87.5 2 5 5 19
87.0 10 7
86.5 1 3 16 17
86.0 3 3 1
85.5 1 12 13
85.0 1 2 9 4 1
84.5 18 9
84.0 2 19 10 1
83.5 1 6 2 1
83.0 1 4 25 22 2
82.5 1 2 1
82.0 1 15 4
81.5 10 9
81.0 6 8 2
80.5 1 17 14 1
80.0 5 3
79.5 2 7 6
79.0 1 4 6
78.5 1 13 6
78.0 2 11 12
77.5 1 6 2
77.0 3 19 12
76.5 5 5
76.0 12 10
75.5 1 9 3
75.0 1 5 1
74.5 13 7 1
74.0 3 1
73.5 1 9 4
73.0 1 1 6 6
72.5 4 4
72.0 2 2 7
71.5 2 3 4
71.0 1 8 8
70.5 7 2
70.0 6 6
69.5 7 3 1
69.0 2 2
68.5 2 6 1
68.0 2 2
67.5 6
67.0 1 4 3
66.5 3 2
66.0 1 1 7 7
65.5 1 2 1
65.0 11 6
64.5 3
64.0 1 1 1
63.5 5 2
63.0 4 2
62.5 1 4 3
62.0 1 4 3
61.5 2
61.0 4 1
60.5 1
60.0 4 2
59.5 1 1
59.0 1 4 1
58.5 1
58.0 1
57.5 1 1
57.0 1 3 1
56.5 1 1
56.0 5
54.5 2
54.0 2 2
53.0 1
52.0 1 1 1
51.5 1
49.5 1 1
48.5 1 1
48.0 1
47.5 1
46.0 1
44.5 1
43.5 1
42.0 1
40.0 1
39.0 1
38.0 1
36.0 1
30.0 1
20.5 1
American Mathematics Competitions
2005 AMC 12 B Results for Illinois
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 9.40* 0.16 0.26 0.07 0.08 0.03 0.00
2 0.03 0.04 0.04 9.55* 0.04 0.30 0.00
3 0.04 0.02 9.48* 0.08 0.15 0.22 0.00
4 0.11 9.35* 0.11 0.07 0.12 0.23 0.00
5 8.79* 0.07 0.42 0.01 0.02 0.68 0.00
6 3.77* 0.63 0.39 0.29 0.28 4.64 0.00
7 0.92 1.57 0.17 3.10* 0.43 3.81 0.00
8 1.05 1.52 4.93* 0.01 0.83 1.66 0.01
9 0.17 7.91* 0.23 0.39 0.20 1.10 0.00
10 0.09 0.49 0.14 2.14 3.79* 3.35 0.00
11 0.90 1.10 0.70 4.57* 0.23 2.50 0.00
12 0.19 0.61 0.77 1.10* 0.16 7.17 0.00
13 0.43 0.21 0.17 3.03* 0.17 5.98 0.00
14 0.63 0.88 0.55 0.37 1.03* 6.54 0.00
15 0.37 0.26 0.26 4.90* 0.34 3.87 0.00
16 0.24 0.21 0.95 0.54* 0.24 7.82 0.00
17 0.30 0.70* 0.14 0.07 0.62 8.16 0.00
18 1.22 0.37 0.49* 0.21 0.30 7.41 0.00
19 0.17 0.14 0.16 0.17 2.51* 6.85 0.00
20 0.05 0.22 4.45* 0.65 1.76 2.87 0.00
21 0.14 0.20 0.40* 0.29 0.12 8.85 0.00
22 0.27 0.74 0.14 0.15 0.09* 8.61 0.00
23 0.11 0.26* 0.10 0.07 0.03 9.43 0.00
24 0.20* 0.20 0.20 0.24 0.16 9.00 0.00
25 0.18* 0.27 0.17 0.15 0.26 8.96 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
