American Mathematics Competitions
2006 AMC 10 A Results for Intn`l Locals
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 938
Number of unofficial participants: 29
Average score of participants: 77.1
Average score for female students is: 78.5 ( 478 Students)
Average score for male students is: 75.9 ( 404 Students)
Average score for unspecified gender is 75.0 ( 56 Students)
Average score for grade 10 is: 81.6 ( 382 Students)
Average score for grade 9 is: 74.0 ( 450 Students)
Average score for grade 8 and below is: 71.0 ( 46 Students)
Average score with unknown grade: 76.6 ( 60 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 37
Number of schools returning results 23
Average school winning score 113.65
American Mathematics Competitions
2006 AMC 12 A Results for Intn`l Locals
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 738
Number of unofficial participants: 19
Average score of participants: 83.8
Average score for female students is: 79.8 ( 288 Students)
Average score for male students is: 86.6 ( 430 Students)
Average score for unspecified gender is 82.3 ( 20 Students)
Average score for grade 13 is: 81.3 ( 6 Students)
Average score for grade 12 is: 86.0 ( 317 Students)
Average score for grade 11 is: 81.6 ( 344 Students)
Average score for grade 10 is: 82.6 ( 45 Students)
Average score for grade 9 is: 81.7 ( 3 Students)
Average score for grade 8 and below is: 100.4 ( 6 Students)
Average score with unknown grade: 86.4 ( 17 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 173
Number of schools returning results 26
Average school winning score 115.38
Average school team score 327.90
American Mathematics Competitions
2006 AMC 10 B Results for Intn`l Locals
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3403
Number of unofficial participants: 9
Average score of participants: 85.2
Average score for female students is: 76.4 ( 1420 Students)
Average score for male students is: 82.5 ( 1321 Students)
Average score for unspecified gender is 109.8 ( 662 Students)
Average score for grade 10 is: 80.9 ( 1343 Students)
Average score for grade 9 is: 76.4 ( 1197 Students)
Average score for grade 8 and below is: 85.4 ( 266 Students)
Average score with unknown grade: 112.7 ( 597 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 397
Number of schools returning results 57
Average school winning score 117.89
American Mathematics Competitions
2006 AMC 12 B Results for Intn`l Locals
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2669
Number of unofficial participants: 6
Average score of participants: 96.4
Average score for female students is: 91.4 ( 1102 Students)
Average score for male students is: 97.7 ( 1161 Students)
Average score for unspecified gender is 106.3 ( 406 Students)
Average score for grade 13 is: 119.5 ( 3 Students)
Average score for grade 12 is: 98.3 ( 857 Students)
Average score for grade 11 is: 89.5 ( 1029 Students)
Average score for grade 10 is: 98.4 ( 267 Students)
Average score for grade 9 is: 100.7 ( 150 Students)
Average score for grade 8 and below is: 92.6 ( 4 Students)
Average score with unknown grade: 108.5 ( 359 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 1215
Number of schools returning results 60
Average school winning score 118.52
Average school team score 334.90
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
434.5 1 1
429.0 1 2
412.5 1 3
409.0 1 4
408.0 1 5
405.5 1 6
403.0 1 7
402.5 1 8
400.5 1 9
390.0 1 10
389.0 1 11
385.5 1 12
384.5 1 13
377.5 1 14
376.5 1 1 15
376.0 1 17
375.5 1 18
375.0 1 1 19
373.5 1 21
372.5 2 22
370.5 1 24
369.0 1 25
366.0 1 26
365.0 1 27
361.0 2 28
357.5 1 30
356.5 1 1 31
355.0 1 33
354.0 1 34
352.0 1 35
351.5 1 36
350.5 1 1 37
349.0 1 39
346.5 1 40
344.0 1 41
343.0 1 42
342.5 1 43
342.0 1 44
340.5 1 45
339.5 1 46
339.0 1 47
336.0 1 48
330.5 1 1 49
329.0 1 51
328.0 1 52
327.0 1 53
325.5 2 54
324.5 1 56
320.0 2 57
317.0 1 59
311.5 1 1 60
311.0 1 62
310.5 1 63
309.0 1 64
307.0 1 65
306.5 1 66
301.0 1 67
298.5 1 68
296.0 1 69
295.0 1 70
294.5 1 71
293.0 1 72
291.0 1 73
289.5 1 74
282.5 1 75
281.5 1 76
279.0 1 77
273.5 1 78
269.0 1 79
266.0 1 80
255.0 1 81
247.0 1 82
173.0 1 83
169.0 1 84
126.5 1 85
92.0 1 86
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 28
146.5 2 1 1 12
144.0 3 1 35
143.0 1 4
140.5 4 1 17
139.5 4 1 5
138.0 6 31
137.0 1 4 10
136.0 1 7 1 4
134.5 5 2 17
133.5 1 7 3 5
132.5 2 16 8
132.0 1 6 2 16
131.0 4 3 21
130.0 25 1 7
129.0 1 23 1 8
128.5 5 11
127.5 13 2 18
126.5 33 1 13
126.0 1 2 8
125.5 2 17 1 6
125.0 11 2 12
124.0 2 26 3 22
123.0 2 45 3 10
122.5 9 3 9
122.0 32 4
121.5 7 2 28
120.5 1 26 1 21
120.0 3 7
119.5 5 28 1 21
119.0 1 3 3 15
118.5 4 24 5
118.0 1 17 2 18
117.0 2 31 6 29
116.5 1 1 1
116.0 4 32 11
115.5 6 4 14
115.0 5 21 6
114.5 4 24 20
114.0 2 1 4
113.5 4 38 3 22
113.0 2 3
112.5 8 39 1 9
112.0 19 2 19
111.5 30 1 7
111.0 5 26 4 21
110.5 3 3 5
110.0 8 34 2 19
109.5 3 2 4
109.0 12 37 1 11
108.5 2 10 3 18
108.0 2 36 2 4
107.5 5 19 5 26
107.0 1 4 3
106.5 20 41 2 16
106.0 7 8 20
105.5 7 58 1 11
105.0 1 15 2 25
104.5 3 28 10
104.0 11 23 4 37
103.5 1 1 7
103.0 9 42 2 29
102.5 1 3 3 9
102.0 8 63 2 18
101.5 6 11 6 31
101.0 4 48 2 3
100.5 13 41 17 36
100.0 6 7 12
99.5 8 30 7 10
99.0 4 5 6 18
98.5 6 46 1 11
98.0 8 18 6 24
97.5 3 4 5 11
97.0 9 43 5 17
96.5 5 1 21
96.0 13 53 12 30
95.5 3 13 7 25
95.0 5 71 3 17
94.5 7 18 6 30
94.0 3 12 4 12
93.5 6 34 5 36
93.0 5 7 3 11
92.5 6 58 5 23
92.0 5 11 8 33
91.5 18 5 9
91.0 13 23 13 21
90.5 9 6 12
90.0 17 39 11 32
89.5 5 9 6 21
89.0 11 57 4 22
88.5 11 18 8 29
88.0 1 16 6 17
87.5 8 27 5 34
87.0 3 14 6 14
86.5 10 53 15 30
86.0 8 12 6 30
85.5 6 10 7 15
85.0 8 15 5 32
84.5 11 8 25
84.0 13 35 9 41
83.5 4 12 6 16
83.0 7 35 11 27
82.5 6 16 15 24
82.0 2 11 8 25
81.5 7 29 11 30
81.0 3 11 4 13
80.5 10 20 12 30
80.0 7 4 9 27
79.5 6 16 5 33
79.0 13 13 9 31
78.5 3 13 9 21
78.0 3 24 8 44
77.5 7 11 3 17
77.0 13 21 13 27
76.5 5 13 4 31
76.0 4 12 12 18
75.5 7 14 13 22
75.0 5 6 8 17
74.5 10 8 6 31
74.0 1 13 2 24
73.5 3 9 6 21
73.0 5 21 6 37
72.5 4 12 9 21
72.0 8 15 16 30
71.5 3 11 8 29
71.0 6 13 7 24
70.5 4 5 1 28
70.0 8 5 6 18
69.5 5 8 6 27
69.0 6 12 1 21
68.5 8 11 7 27
68.0 7 5 11 20
67.5 11 6 8 19
67.0 3 12 8 26
66.5 6 7 10 17
66.0 7 12 17 38
65.5 6 7 4 18
65.0 3 5 18 19
64.5 2 8 7 22
64.0 8 3 3 14
63.5 4 7 5 24
63.0 3 8 6 14
62.5 8 9 8 26
62.0 6 3 9 20
61.5 3 3 9 13
61.0 3 8 8 19
60.5 3 4 8 20
60.0 4 13 11 28
59.5 4 1 6 16
59.0 5 1 7 13
58.5 4 3 16
58.0 5 4 6 17
57.5 5 4 4 4
57.0 5 1 5 14
56.5 4 6 7 16
56.0 4 3 6 17
55.5 1 2 5 13
55.0 4 7 11
54.5 2 6 3 14
54.0 3 8 13 33
53.5 4 4 19
53.0 2 2 1 14
52.5 2 3 9
52.0 3 4 1 16
51.5 1 1 4 13
51.0 8 2 11
50.5 3 2 3 12
50.0 3 2 4 5
49.5 2 3 3 16
49.0 2 2 2 13
48.5 1 1 3 9
48.0 3 3 15 21
47.5 1 2 1 8
47.0 2 2 5 6
46.5 3 1 3 5
46.0 1 2 10
45.5 1 2 1 4
45.0 2 2 1 7
44.5 1 1 7
44.0 3 5 5
43.5 1 1 6
43.0 1 1 2 5
42.5 4 4
42.0 4 5 12 13
41.5 1 8
41.0 2 8
40.5 1 1 1 2
40.0 1 3 11
39.5 1 2
39.0 1 1 1 5
38.5 2 8
38.0 1 1 1 3
37.5 1 1 4
37.0 2 2 3
36.5 1 1 5
36.0 1 1 9 13
35.5 1 7
35.0 2 3
34.5 1
34.0 1 1 5
33.5 1
33.0 1 1
32.5 1 1
32.0 1 1 4
31.5 2
31.0 1
30.5 1 1
30.0 1 1 7 9
29.5 1 4
29.0 2 2
28.0 2
27.5 1
27.0 2
26.5 1 2
26.0 1
24.5 1 1
24.0 7 4
23.5 1
22.0 1
21.0 1
20.5 1 1
19.5 1
18.0 1 2 1 7
17.5 1
14.5 1
12.0 5
6.0 1
1
American Mathematics Competitions
2006 AMC 10 A Results for Intn`l Locals
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 1 100.0 3 4
149.5 124.5 99.5 3 4
149.0 124.0 3 99.0 3 3
148.5 123.5 98.5 1
148.0 123.0 3 98.0 3 3
147.5 122.5 3 97.5 4
147.0 122.0 97.0 3 2
146.5 1 121.5 1 1 96.5 1
146.0 121.0 96.0 4 8
145.5 120.5 1 95.5 3 4
145.0 120.0 95.0 1 2
144.5 119.5 1 94.5 3 3
144.0 1 119.0 1 2 94.0 1 3
143.5 118.5 93.5 1 4
143.0 118.0 1 93.0 1 1
142.5 117.5 92.5 2 2
142.0 117.0 2 4 92.0 5 3
141.5 116.5 1 91.5 1 4
141.0 116.0 91.0 6 6
140.5 1 115.5 4 90.5 2 4
140.0 115.0 90.0 3 7
139.5 1 114.5 89.5 2 3
139.0 114.0 1 89.0 2 2
138.5 113.5 1 2 88.5 4 3
138.0 113.0 88.0 2 4
137.5 112.5 1 87.5 4 1
137.0 112.0 2 87.0 3 2
136.5 111.5 86.5 6 8
136.0 1 111.0 1 3 86.0 2 2
135.5 110.5 1 2 85.5 4 3
135.0 110.0 2 85.0 3 2
134.5 2 109.5 1 1 84.5 1 5
134.0 109.0 1 84.0 4 5
133.5 1 2 108.5 3 83.5 2 3
133.0 108.0 2 83.0 7 4
132.5 107.5 2 3 82.5 8 7
132.0 2 107.0 2 2 82.0 3 5
131.5 106.5 1 1 81.5 5 6
131.0 2 1 106.0 2 5 81.0 4
130.5 105.5 1 80.5 6 6
130.0 1 105.0 2 80.0 4 4
129.5 104.5 79.5 2 1
129.0 1 104.0 1 3 79.0 4 5
128.5 103.5 1 78.5 2 7
128.0 103.0 1 1 78.0 4 4
127.5 1 1 102.5 2 1 77.5 2
127.0 102.0 1 77.0 5 4
126.5 1 101.5 2 4 76.5 3 1
126.0 2 101.0 2 76.0 7 3
125.5 1 100.5 10 6 75.5 10 3
American Mathematics Competitions
2006 AMC 10 A Results for Intn`l Locals
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 6 2 50.0 2 1 25.0
74.5 3 2 49.5 1 2 24.5
74.0 49.0 1 1 24.0 3 4
73.5 2 4 48.5 3 23.5
73.0 1 4 48.0 6 8 23.0
72.5 2 5 47.5 1 22.5
72.0 8 7 47.0 2 3 22.0
71.5 6 1 46.5 2 21.5
71.0 3 4 46.0 1 21.0
70.5 1 45.5 1 20.5 1
70.0 3 3 45.0 1 20.0
69.5 6 44.5 19.5
69.0 1 44.0 1 4 19.0
68.5 1 5 43.5 1 18.5
68.0 6 4 43.0 1 18.0 1
67.5 4 3 42.5 17.5
67.0 1 6 42.0 6 5 17.0
66.5 6 3 41.5 1 16.5
66.0 7 10 41.0 1 1 16.0
65.5 4 40.5 1 15.5
65.0 9 9 40.0 1 2 15.0
64.5 4 3 39.5 14.5
64.0 1 1 39.0 1 14.0
63.5 2 3 38.5 13.5
63.0 2 4 38.0 1 13.0
62.5 3 4 37.5 12.5
62.0 6 2 37.0 2 12.0
61.5 4 5 36.5 1 11.5
61.0 4 4 36.0 6 3 11.0
60.5 3 5 35.5 10.5
60.0 4 7 35.0 1 1 10.0
59.5 3 3 34.5 1 9.5
59.0 1 5 34.0 1 9.0
58.5 2 1 33.5 8.5
58.0 3 3 33.0 1 8.0
57.5 1 3 32.5 1 7.5
57.0 2 2 32.0 1 7.0
56.5 4 3 31.5 6.5
56.0 1 5 31.0 6.0
55.5 2 3 30.5 5.5
55.0 3 4 30.0 3 4 5.0
54.5 2 1 29.5 4.5
54.0 7 5 29.0 2 4.0
53.5 3 1 28.5 3.5
53.0 1 28.0 3.0
52.5 1 2 27.5 2.5
52.0 1 27.0 2.0
51.5 2 2 26.5 1 1.5
51.0 2 26.0 1.0
50.5 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Intn`l Locals
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
146.5 1
144.0 1
140.5 1
139.5 1
136.0 1
134.5 1 1
133.5 1 2
132.0 2
131.0 3
130.0 1
129.0 1
127.5 1 1
126.5 1
126.0 2
125.5 1
125.0 1 1
124.0 1 2
123.0 1 1 1
122.5 2 1
121.5 1 1
120.5 1
119.5 1
119.0 3
118.0 2
117.0 6
116.5 1
115.5 3 1
114.0 1
113.5 1 1 1
112.5 1
112.0 1 1
111.5 1
111.0 3 1
110.5 1 2
110.0 1 1
109.5 2
109.0 1
108.5 3
108.0 1 1
107.5 3 2
107.0 2 2
106.5 2
106.0 3 5
105.5 1
105.0 1 1
104.0 3 1
103.5 1
103.0 1 1
102.5 2 1
102.0 1 1
101.5 1 5
101.0 2
100.5 1 6 9 1
100.0 1 4 2
99.5 1 4 1 1
99.0 1 2 3
98.5 1
98.0 1 2 3
97.5 3 1 1
97.0 2 3
96.5 1
96.0 7 4 1
95.5 2 5
95.0 2 1
94.5 2 4
94.0 4
93.5 1 4
93.0 2 1
92.5 3 2
92.0 1 5 2
91.5 2 2 1
91.0 6 7
90.5 1 2 3
90.0 5 5 1
89.5 1 4 1
89.0 2 1 1
88.5 5 3
88.0 3 2 1
87.5 3 2
87.0 3 3
86.5 9 6
86.0 3 1 2
85.5 5 2
85.0 4 1
84.5 5 1 2
84.0 4 5
83.5 4 1 1
83.0 6 4 1
82.5 4 11
82.0 4 4
81.5 4 6 1
81.0 2 2
80.5 1 5 6
80.0 6 3
79.5 1 1 2 1
79.0 3 6
78.5 4 3 2
78.0 5 3
77.5 3
77.0 8 3 2
76.5 2 2
76.0 4 6 2
75.5 1 5 6 1
75.0 1 3 4
74.5 1 3 2
74.0 1 1
73.5 3 2 1
73.0 4 1 1
72.5 6 1 2
72.0 1 7 7 1
71.5 3 3 2
71.0 2 4 1
70.5 1
70.0 1 1 3 1
69.5 1 3 2
69.0 1
68.5 1 2 3 1
68.0 1 2 7 1
67.5 4 3 1
67.0 4 3 1
66.5 2 2 5 1
66.0 1 12 4
65.5 4
65.0 1 10 4 3
64.5 4 3
64.0 3
63.5 1 4
63.0 2 2 2
62.5 1 2 4 1
62.0 2 1 5 1
61.5 2 3 3 1
61.0 3 5
60.5 1 4 2 1
60.0 7 4
59.5 4 2
59.0 5 2
58.5 2 1
58.0 1 2 3
57.5 2 2
57.0 1 2 1 1
56.5 1 3 3
56.0 2 4
55.5 2 3
55.0 1 5 1
54.5 2 1
54.0 2 4 5 2
53.5 1 2 1
53.0 1
52.5 2 1
52.0 1
51.5 2 2
51.0 2
50.5 1 2
50.0 1 1 1 1
49.5 3
49.0 2
48.5 2 1
48.0 2 10 3
47.5 1
47.0 3 2
46.5 2 1
46.0 1 1
45.5 1
45.0 1
44.0 4 1
43.5 1
43.0 1 1
42.0 1 10 1
41.5 1
41.0 1 1
40.5 1
40.0 2 1
39.0 1
38.0 1
37.5 1
37.0 2
36.5 1
36.0 7 2
35.0 2
34.5 1
34.0 1
33.0 1
32.5 1
32.0 1
30.0 1 6
29.0 1 1
26.5 1
24.0 5 2
20.5 1
18.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Intn`l Locals
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 9.90* 0.02 0.00 0.04 0.01 0.02 0.00
2 0.91 0.26 4.14* 0.27 1.80 2.62 0.01
3 0.20 7.56* 0.15 0.12 1.79 0.18 0.00
4 2.86 0.58 0.16 0.27 5.25* 0.87 0.02
5 0.23 1.04 1.16 6.81* 0.39 0.35 0.00
6 0.28 7.43* 0.44 0.30 0.11 1.44 0.01
7 7.39* 0.14 0.45 0.36 0.35 1.31 0.00
8 0.87 0.58 0.52 0.16 3.28* 4.57 0.01
9 1.25 1.26 4.88* 0.57 0.57 1.47 0.01
10 0.36 0.27 0.74 2.94 1.31* 4.38 0.00
11 1.48 1.38 2.71* 0.48 0.69 3.25 0.01
12 1.35 0.58 4.03* 0.75 0.66 2.63 0.00
13 0.32 1.55 0.47 3.54* 0.20 3.92 0.00
14 1.52 4.34* 0.32 0.88 0.72 2.21 0.00
15 1.01 0.61 0.61 1.36* 0.76 5.64 0.01
16 0.43 0.28 1.02 0.78* 1.25 6.25 0.00
17 3.38* 0.47 0.41 0.46 0.38 4.90 0.00
18 1.45 0.34 2.55* 0.50 0.28 4.88 0.00
19 0.61 1.12 1.30* 0.46 0.44 6.08 0.00
20 0.33 1.33 0.51 0.60 0.87* 6.35 0.00
21 0.93 0.85 0.51 0.67 1.36* 5.67 0.00
22 0.14 0.83 3.61* 2.81 1.04 1.56 0.00
23 1.01 2.43* 0.25 0.31 0.87 5.13 0.00
24 1.14 0.60* 0.38 0.44 0.39 7.05 0.00
25 1.03 0.85 0.59* 0.68 0.39 6.45 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 Intn`l Locals
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0
149.5 124.5 99.5 4 4
149.0 124.0 1 1 99.0 3 1
148.5 123.5 98.5 2 4
148.0 123.0 2 98.0 6 2
147.5 122.5 97.5 2 1
147.0 122.0 97.0 6 3
146.5 2 121.5 96.5
146.0 121.0 96.0 8 5
145.5 120.5 1 95.5 3
145.0 120.0 95.0 2 3
144.5 119.5 4 1 94.5 7
144.0 119.0 1 94.0 2 1
143.5 118.5 1 3 93.5 4 2
143.0 118.0 1 93.0 3 2
142.5 117.5 92.5 2 4
142.0 117.0 1 1 92.0 2 2
141.5 116.5 91.5
141.0 116.0 3 1 91.0 6 6
140.5 115.5 90.5
140.0 115.0 5 90.0 9 8
139.5 114.5 3 1 89.5 3 1
139.0 114.0 1 1 89.0 2 9
138.5 113.5 3 1 88.5 9 2
138.0 113.0 88.0 1
137.5 112.5 6 1 87.5 7 1
137.0 1 112.0 87.0 2 1
136.5 111.5 86.5 5 4
136.0 1 111.0 3 2 86.0 6 1
135.5 110.5 85.5 3 3
135.0 110.0 6 2 85.0 2 6
134.5 109.5 84.5
134.0 109.0 10 2 84.0 6 6
133.5 1 108.5 1 1 83.5 3 1
133.0 108.0 1 83.0 5 2
132.5 1 1 107.5 4 1 82.5 3 3
132.0 1 107.0 82.0 1 1
131.5 106.5 19 1 81.5 6 1
131.0 106.0 81.0 2 1
130.5 105.5 2 4 80.5 6 4
130.0 105.0 1 80.0 4 2
129.5 104.5 2 1 79.5 2 4
129.0 1 104.0 10 79.0 8 5
128.5 103.5 78.5 2 1
128.0 103.0 5 4 78.0 1 2
127.5 102.5 1 77.5 5
127.0 102.0 4 4 77.0 6 7
126.5 101.5 3 2 76.5 4 1
126.0 101.0 1 3 76.0 3 1
125.5 2 100.5 11 2 75.5 3 4
American Mathematics Competitions
2006 AMC 12 A Results for Intn`l Locals
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 2 50.0 2 1 25.0
74.5 6 4 49.5 1 1 24.5
74.0 1 49.0 2 24.0
73.5 1 2 48.5 1 23.5
73.0 2 3 48.0 2 23.0
72.5 3 1 47.5 1 22.5
72.0 7 1 47.0 1 1 22.0
71.5 2 1 46.5 3 21.5
71.0 3 3 46.0 21.0
70.5 4 45.5 1 20.5
70.0 5 3 45.0 1 1 20.0
69.5 3 2 44.5 1 19.5
69.0 4 2 44.0 19.0
68.5 4 2 43.5 18.5
68.0 3 4 43.0 1 18.0 1
67.5 6 5 42.5 17.5
67.0 1 2 42.0 1 3 17.0
66.5 4 2 41.5 16.5
66.0 4 3 41.0 16.0
65.5 4 2 40.5 1 15.5
65.0 1 2 40.0 15.0
64.5 2 39.5 1 14.5
64.0 5 3 39.0 1 14.0
63.5 2 2 38.5 13.5
63.0 1 2 38.0 1 13.0
62.5 2 5 37.5 12.5
62.0 3 3 37.0 12.0
61.5 2 1 36.5 11.5
61.0 1 2 36.0 1 11.0
60.5 3 35.5 1 10.5
60.0 1 2 35.0 10.0
59.5 2 2 34.5 9.5
59.0 3 2 34.0 9.0
58.5 4 33.5 1 8.5
58.0 2 3 33.0 8.0
57.5 2 3 32.5 7.5
57.0 2 3 32.0 7.0
56.5 2 2 31.5 6.5
56.0 4 31.0 6.0
55.5 1 30.5 5.5
55.0 30.0 1 5.0
54.5 2 29.5 1 4.5
54.0 1 2 29.0 4.0
53.5 28.5 3.5
53.0 1 1 28.0 3.0
52.5 2 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 2 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Intn`l Locals
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
146.5 2
137.0 1
136.0 1
133.5 1
132.5 1 1
132.0 1
129.0 1
125.5 1 1
124.0 2
123.0 2
120.5 1
119.5 3 2
119.0 1
118.5 2 1 1
118.0 1
117.0 1 1
116.0 4
115.0 3 2
114.5 1 2 1
114.0 2
113.5 3 1
112.5 4 3 1
111.0 2 3
110.0 3 1 4
109.0 6 4 2
108.5 1 1
108.0 2
107.5 2 3
106.5 1 7 11 1
105.5 3 4
105.0 1
104.5 3
104.0 6 4 1
103.0 4 5
102.5 1
102.0 2 4 1 1
101.5 1 1 4
101.0 2 2
100.5 7 6
99.5 1 4 3
99.0 2 2
98.5 4 2
98.0 4 4
97.5 1 2
97.0 1 4 4
96.0 2 3 7 1
95.5 2 1
95.0 1 1 2 1
94.5 2 5
94.0 3
93.5 3 3
93.0 3 2
92.5 3 3
92.0 1 1 2 1
91.0 6 7
90.0 1 10 6
89.5 1 4
89.0 2 5 4
88.5 3 8
88.0 1
87.5 5 3
87.0 1 2
86.5 1 5 4
86.0 1 2 4 1
85.5 4 2
85.0 3 5
84.0 7 4 2
83.5 1 3
83.0 4 3
82.5 1 1 1 3
82.0 1 1
81.5 1 4 2
81.0 1 2
80.5 1 1 7 1
80.0 4 3
79.5 1 2 3
79.0 1 7 5
78.5 3
78.0 1 1 1
77.5 5 2
77.0 1 7 4 1
76.5 1 3 1
76.0 2 2
75.5 3 4
75.0 2 3
74.5 2 3 5
74.0 1
73.5 2 1
73.0 1 4
72.5 3 1
72.0 3 4 1
71.5 1 1 1
71.0 3 2 1
70.5 1 2 1
70.0 1 6 1
69.5 4 1
69.0 1 5
68.5 2 2 3 1
68.0 4 2 1
67.5 6 5
67.0 1 2
66.5 3 3
66.0 2 4 1
65.5 4 2
65.0 1 2
64.5 1 1
64.0 4 4
63.5 1 2 1
63.0 2 1
62.5 1 6 1
62.0 1 2 2 1
61.5 1 1 1
61.0 2 1
60.5 1 2
60.0 3 1
59.5 1 2 1
59.0 2 3
58.5 1 3
58.0 1 3 1
57.5 2 3
57.0 4 1
56.5 2 2
56.0 2 2
55.5 1
54.5 1 1
54.0 2 1
53.0 2
52.5 1 1
52.0 2 1
51.5 1
50.5 3
50.0 3
49.5 2
49.0 1 1
48.5 1
48.0 1 1 1
47.5 1
47.0 2
46.5 1 2
45.5 1
45.0 1 1
44.5 1
43.5 1
43.0 1
42.0 3 1
40.5 1
39.5 1
39.0 1
38.0 1
36.0 1
35.5 1
33.5 1
30.0 1
29.5 1
18.0 1
American Mathematics Competitions
2006 AMC 12 A Results for Intn`l Locals
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 9.86* 0.00 0.07 0.04 0.00 0.03 0.00
2 0.83 0.23 5.04* 0.12 0.93 2.85 0.00
3 0.14 8.33* 0.07 0.04 1.30 0.12 0.00
4 2.49 0.39 0.08 0.08 6.10* 0.85 0.00
5 0.28 0.70 0.91 7.57* 0.30 0.23 0.00
6 7.40* 0.11 0.35 0.26 0.28 1.60 0.00
7 0.65 5.07* 0.96 0.68 0.50 2.14 0.00
8 1.22 1.02 5.65* 0.41 0.23 1.48 0.00
9 7.32* 0.38 0.20 0.05 0.23 1.82 0.00
10 0.38 0.22 0.50 2.91 2.24* 3.75 0.00
11 1.29 1.04 3.16* 1.04 0.49 2.98 0.00
12 1.31 5.41* 0.16 0.69 0.42 2.01 0.00
13 0.56 0.20 0.37 0.15 5.53* 3.20 0.00
14 0.08 0.53 4.84* 2.24 0.60 1.72 0.00
15 3.43* 1.04 0.58 0.72 1.23 2.99 0.00
16 0.60 4.11* 0.18 0.20 0.62 4.30 0.00
17 0.28 0.87* 0.42 0.24 0.08 8.10 0.00
18 1.36 0.16 0.33 0.70 0.76* 6.69 0.00
19 0.14 0.14 0.15 0.20 0.43* 8.94 0.00
20 1.33 0.54 0.66* 0.39 0.19 6.88 0.00
21 0.09 0.14 0.37 0.12 0.35* 8.93 0.00
22 0.18 0.15 0.23 0.19* 0.08 9.17 0.00
23 0.18 0.27* 0.24 0.15 0.09 9.07 0.00
24 1.02 0.22 0.23 0.45* 0.20 7.89 0.00
25 0.14 0.35 0.30 0.12 0.26* 8.83 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 Intn`l Locals
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 2 125.0 100.0 9
149.5 124.5 99.5 4 5
149.0 124.0 5 2 99.0 4 10
148.5 123.5 98.5 3 5
148.0 123.0 6 3 98.0 9 9
147.5 122.5 1 97.5 3 5
147.0 122.0 1 1 97.0 7 9
146.5 1 1 121.5 5 7 96.5 9 3
146.0 121.0 96.0 15 11
145.5 120.5 9 5 95.5 10 11
145.0 120.0 3 1 95.0 5 12
144.5 119.5 6 8 94.5 16 11
144.0 6 119.0 1 3 94.0 6 3
143.5 118.5 3 1 93.5 14 15
143.0 118.0 2 2 93.0 6 3
142.5 117.5 92.5 8 12
142.0 117.0 11 9 92.0 17 11
141.5 116.5 91.5 6 3
141.0 116.0 6 5 91.0 7 12
140.5 2 115.5 2 3 90.5 5 5
140.0 115.0 1 4 90.0 18 14
139.5 4 114.5 10 2 89.5 8 6
139.0 114.0 3 89.0 11 10
138.5 113.5 12 8 88.5 14 9
138.0 3 2 113.0 2 88.0 7 7
137.5 112.5 5 2 87.5 16 17
137.0 1 112.0 5 1 87.0 4 7
136.5 111.5 3 4 86.5 13 15
136.0 3 111.0 11 6 86.0 10 17
135.5 110.5 3 1 85.5 4 9
135.0 110.0 8 6 85.0 10 19
134.5 4 2 109.5 2 1 84.5 10 14
134.0 109.0 3 5 84.0 20 17
133.5 2 108.5 6 2 83.5 5 10
133.0 108.0 1 1 83.0 13 11
132.5 4 2 107.5 10 12 82.5 11 10
132.0 4 107.0 1 82.0 10 11
131.5 106.5 7 6 81.5 12 13
131.0 3 2 106.0 8 1 81.0 5 5
130.5 105.5 1 4 80.5 19 11
130.0 1 105.0 7 8 80.0 9 17
129.5 104.5 3 5 79.5 15 16
129.0 3 1 104.0 19 7 79.0 15 14
128.5 4 103.5 4 1 78.5 9 11
128.0 103.0 11 15 78.0 15 27
127.5 7 2 102.5 5 77.5 10 6
127.0 102.0 6 8 77.0 11 13
126.5 3 4 101.5 14 9 76.5 12 15
126.0 2 101.0 1 2 76.0 8 9
125.5 4 1 100.5 12 19 75.5 10 12
American Mathematics Competitions
2006 AMC 10 B Results for Intn`l Locals
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 5 10 50.0 3 2 25.0
74.5 18 10 49.5 6 10 24.5
74.0 13 10 49.0 5 8 24.0 1 3
73.5 12 8 48.5 6 2 23.5 1
73.0 15 19 48.0 10 10 23.0
72.5 9 12 47.5 5 3 22.5
72.0 13 14 47.0 2 4 22.0 1
71.5 14 13 46.5 2 3 21.5
71.0 11 13 46.0 4 5 21.0 1
70.5 12 15 45.5 2 1 20.5 1
70.0 9 8 45.0 1 6 20.0
69.5 11 11 44.5 2 5 19.5 1
69.0 7 12 44.0 3 2 19.0
68.5 11 15 43.5 4 2 18.5
68.0 9 10 43.0 2 3 18.0 3 4
67.5 7 10 42.5 1 3 17.5 1
67.0 9 17 42.0 2 11 17.0
66.5 8 8 41.5 7 16.5
66.0 14 20 41.0 4 2 16.0
65.5 4 14 40.5 1 1 15.5
65.0 8 11 40.0 5 5 15.0
64.5 11 10 39.5 2 14.5 1
64.0 6 8 39.0 2 3 14.0
63.5 10 13 38.5 2 5 13.5
63.0 8 6 38.0 3 13.0
62.5 5 16 37.5 2 2 12.5
62.0 6 14 37.0 1 2 12.0 3 2
61.5 7 6 36.5 1 4 11.5
61.0 9 10 36.0 5 7 11.0
60.5 6 12 35.5 2 5 10.5
60.0 17 9 35.0 1 2 10.0
59.5 5 10 34.5 9.5
59.0 3 8 34.0 5 9.0
58.5 5 11 33.5 8.5
58.0 4 11 33.0 1 8.0
57.5 4 32.5 7.5
57.0 6 8 32.0 1 3 7.0
56.5 8 8 31.5 2 6.5
56.0 7 9 31.0 1 6.0 1
55.5 4 8 30.5 1 5.5
55.0 5 6 30.0 3 6 5.0
54.5 7 6 29.5 2 2 4.5
54.0 14 14 29.0 1 1 4.0
53.5 7 9 28.5 3.5
53.0 5 7 28.0 1 1 3.0
52.5 5 3 27.5 1 2.5
52.0 7 9 27.0 1 2.0
51.5 5 8 26.5 1 1.5
51.0 5 6 26.0 1.0
50.5 9 3 25.5 .5
0.0 0 1
American Mathematics Competitions
2006 AMC 10 B Results for Intn`l Locals
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1 27
146.5 1 1 10
144.0 5 30
143.0 4
140.5 2 15
139.5 2 2 1
138.0 1 4 26
137.0 1 9
136.0 1 2 1
134.5 1 5 11
133.5 2 3
132.5 4 2 2
132.0 1 1 2 12
131.0 5 16
130.0 1 6
129.0 1 1 2 4
128.5 1 4 6
127.5 6 3 9
126.5 2 1 4 6
126.0 2 6
125.5 4 1 1
125.0 12
124.0 3 4 15
123.0 1 1 4 3 1
122.5 1 8
122.0 1 1 2
121.5 1 1 10 16
120.5 1 1 6 7 6
120.0 2 2 3
119.5 1 7 6 7
119.0 2 2 11
118.5 1 3 1
118.0 2 2 14
117.0 2 4 14 9
116.5 1
116.0 1 3 7
115.5 2 3 9
115.0 2 3 1
114.5 3 6 4 7
114.0 2 1 1
113.5 2 1 9 8 2
113.0 1 1 1
112.5 1 4 1 3
112.0 3 3 13
111.5 3 4
111.0 3 3 12 3
110.5 3 1 1
110.0 2 7 5 5
109.5 2 1 1
109.0 1 1 4 2 3
108.5 5 5 8
108.0 2 2
107.5 1 2 8 11 4
107.0 1 2
106.5 4 9 3
106.0 3 7 10
105.5 1 5 5
105.0 1 8 6 10
104.5 1 8 1
104.0 3 4 7 13 10
103.5 5 2
103.0 1 3 13 9 3
102.5 2 3 4
102.0 3 4 8 3
101.5 1 9 13 8
101.0 3
100.5 1 6 11 13 5
100.0 2 3 5 2
99.5 1 4 4 1
99.0 2 8 4 4
98.5 1 3 5 2
98.0 3 7 10 4
97.5 2 7 2
97.0 2 6 8 1
96.5 1 3 11 6
96.0 2 7 10 9 2
95.5 2 11 9 3
95.0 2 9 6
94.5 1 4 11 11 3
94.0 3 6 3
93.5 7 8 19 2
93.0 3 6 2
92.5 3 8 10 2
92.0 1 3 10 16 3
91.5 2 5 2
91.0 2 7 10 2
90.5 3 3 5 1
90.0 1 4 14 13
89.5 7 8 6
89.0 3 8 11
88.5 1 9 15 4
88.0 4 5 6 2
87.5 6 13 14 1
87.0 5 8 1
86.5 6 9 12 3
86.0 2 6 19 3
85.5 3 6 5 1
85.0 2 9 19 2
84.5 2 11 11 1
84.0 8 12 17 4
83.5 1 8 7
83.0 4 9 12 2
82.5 4 5 12 3
82.0 4 10 9 2
81.5 1 4 6 17 2
81.0 1 6 4 2
80.5 4 14 12
80.0 2 13 12
79.5 1 10 22
79.0 3 12 15 1
78.5 1 4 9 6 1
78.0 2 6 18 16 2
77.5 1 9 6 1
77.0 5 5 16 1
76.5 2 10 15 4
76.0 10 7 1
75.5 2 11 9
75.0 1 8 6 2
74.5 1 13 17
74.0 7 17
73.5 2 8 11
73.0 2 16 17 2
72.5 1 2 12 6
72.0 1 5 11 11 2
71.5 2 11 12 4
71.0 7 17
70.5 3 17 8
70.0 10 7 1
69.5 1 10 12 4
69.0 1 2 9 8 1
68.5 2 10 12 3
68.0 1 11 6 2
67.5 11 8
67.0 1 13 12
66.5 1 8 7 1
66.0 2 19 15 2
65.5 1 11 6
65.0 1 6 8 4
64.5 1 11 9 1
64.0 9 5
63.5 1 10 12 1
63.0 3 8 1 2
62.5 1 8 12 5
62.0 11 9
61.5 1 8 4
61.0 1 10 7 1
60.5 8 11 1
60.0 4 10 13 1
59.5 1 7 8
59.0 7 5 1
58.5 1 1 9 5
58.0 1 8 7 1
57.5 3 1
57.0 1 6 7
56.5 2 7 7
56.0 6 10 1
55.5 1 10 2
55.0 5 5 1
54.5 1 8 5
54.0 3 19 9 2
53.5 8 10 1
53.0 8 5 1
52.5 6 3
52.0 11 5
51.5 7 5 1
51.0 4 7
50.5 1 7 4
50.0 1 1 3
49.5 9 6 1
49.0 1 6 6
48.5 4 3 2
48.0 4 14 2 1
47.5 3 5
47.0 3 3
46.5 1 4
46.0 3 6 1
45.5 2 2
45.0 1 6
44.5 4 3
44.0 4 1
43.5 5 1
43.0 3 2
42.5 3 1
42.0 5 8
41.5 5 2 1
41.0 2 5 1
40.5 1 1
40.0 2 9
39.5 2
39.0 2 3
38.5 4 2 2
38.0 1 2
37.5 1 3
37.0 2 1
36.5 3 2
36.0 6 7
35.5 2 5
35.0 1 2
34.0 5
33.0 1
32.0 2 2
31.5 1 1
31.0 1
30.5 1
30.0 8 1
29.5 1 1 2
29.0 1 1
28.0 1 1
27.5 1
27.0 2
26.5 1 1
24.5 1
24.0 3 1
23.5 1
22.0 1
21.0 1
20.5 1
19.5 1
18.0 3 3 1
17.5 1
14.5 1
12.0 5
6.0 1
1
American Mathematics Competitions
2006 AMC 10 B Results for Intn`l Locals
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 0.34 0.25 8.04* 0.76 0.40 0.21 0.00
2 7.87* 0.30 0.07 0.12 0.31 1.34 0.00
3 8.39* 0.14 0.02 0.88 0.31 0.26 0.00
4 0.90 0.71 0.22 6.16* 1.55 0.46 0.00
5 0.59 5.60* 1.96 0.29 0.14 1.42 0.01
6 0.33 0.48 1.64 6.05* 0.27 1.22 0.00
7 4.65* 1.95 0.84 0.42 0.66 1.48 0.00
8 1.68 3.26* 0.38 1.13 0.94 2.61 0.01
9 0.08 8.67* 0.10 0.08 0.58 0.49 0.00
10 4.00* 0.48 0.90 0.16 2.61 1.85 0.00
11 0.43 0.45 3.04* 0.61 0.36 5.12 0.00
12 0.15 0.38 0.18 0.33 6.84* 2.12 0.00
13 0.60 0.17 1.38 0.81 4.47* 2.56 0.00
14 0.36 0.21 0.29 3.97* 0.10 5.07 0.00
15 0.72 0.42 4.43* 0.20 0.33 3.91 0.00
16 1.97 0.57 1.22 0.86 2.82* 2.54 0.01
17 1.78 1.29 1.65 3.00* 0.14 2.14 0.00
18 0.56 0.41 0.96 0.46 2.64* 4.98 0.00
19 1.45* 0.75 0.34 0.21 0.39 6.86 0.00
20 0.41 0.48 0.45 0.61 1.72* 6.33 0.00
21 0.90 0.20 1.67* 1.39 0.62 5.21 0.00
22 0.24 0.46 1.10 2.14* 0.16 5.91 0.00
23 0.29 0.58 0.37 1.56* 0.29 6.91 0.00
24 0.18 3.37* 0.73 0.40 0.23 5.09 0.00
25 0.16 2.34* 0.24 1.58 0.33 5.36 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 Intn`l Locals
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 6 100.0 2 3
149.5 124.5 99.5 17 9
149.0 124.0 19 4 99.0 2 2
148.5 123.5 98.5 28 16
148.0 123.0 22 15 98.0 7 8
147.5 122.5 2 97.5 2 2
147.0 122.0 16 10 97.0 24 12
146.5 121.5 4 1 96.5 1 3
146.0 121.0 96.0 29 18
145.5 120.5 15 4 95.5 4 9
145.0 120.0 95.0 26 40
144.5 119.5 11 13 94.5 5 8
144.0 119.0 1 94.0 7 4
143.5 118.5 13 7 93.5 18 13
143.0 1 118.0 9 4 93.0 4 2
142.5 117.5 92.5 23 32
142.0 117.0 11 15 92.0 4 4
141.5 116.5 91.5 7 10
141.0 116.0 21 5 91.0 13 9
140.5 115.5 2 90.5 4 5
140.0 115.0 11 7 90.0 15 15
139.5 2 114.5 10 5 89.5 4 4
139.0 114.0 89.0 26 27
138.5 113.5 13 16 88.5 5 10
138.0 113.0 88.0 9 6
137.5 112.5 18 11 87.5 9 17
137.0 1 112.0 12 4 87.0 7 5
136.5 111.5 14 12 86.5 25 27
136.0 2 2 111.0 10 12 86.0 6 3
135.5 110.5 85.5 6 3
135.0 110.0 17 13 85.0 7 5
134.5 1 109.5 1 84.5 3 5
134.0 109.0 19 12 84.0 13 16
133.5 4 108.5 4 3 83.5 5 6
133.0 108.0 19 14 83.0 9 25
132.5 8 4 107.5 5 8 82.5 5 9
132.0 107.0 1 82.0 4 7
131.5 106.5 20 16 81.5 14 12
131.0 3 106.0 2 3 81.0 3 6
130.5 105.5 29 21 80.5 9 9
130.0 8 7 105.0 7 2 80.0 1 1
129.5 104.5 14 11 79.5 5 10
129.0 14 7 104.0 14 7 79.0 3 9
128.5 2 103.5 1 78.5 6 7
128.0 103.0 13 22 78.0 9 11
127.5 6 2 102.5 2 77.5 3 7
127.0 102.0 33 27 77.0 10 9
126.5 14 7 101.5 5 5 76.5 6 6
126.0 1 101.0 26 17 76.0 6 5
125.5 9 7 100.5 14 19 75.5 7 6
American Mathematics Competitions
2006 AMC 12 B Results for Intn`l Locals
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 6 50.0 2 25.0
74.5 6 2 49.5 3 24.5 1
74.0 4 5 49.0 2 24.0
73.5 3 6 48.5 1 23.5
73.0 9 11 48.0 1 1 23.0
72.5 3 8 47.5 1 1 22.5
72.0 7 6 47.0 1 1 22.0
71.5 3 6 46.5 1 21.5
71.0 5 7 46.0 1 21.0
70.5 2 3 45.5 1 1 20.5
70.0 2 3 45.0 1 1 20.0
69.5 5 3 44.5 1 19.5
69.0 3 8 44.0 3 19.0
68.5 8 3 43.5 18.5
68.0 3 1 43.0 1 18.0 1
67.5 1 5 42.5 2 2 17.5
67.0 4 8 42.0 1 4 17.0
66.5 4 3 41.5 16.5
66.0 5 7 41.0 16.0
65.5 5 40.5 1 15.5
65.0 3 2 40.0 1 15.0
64.5 8 39.5 14.5
64.0 1 1 39.0 1 14.0
63.5 5 2 38.5 2 13.5
63.0 1 6 38.0 1 13.0
62.5 1 3 37.5 1 12.5
62.0 2 1 37.0 1 1 12.0
61.5 3 36.5 1 11.5
61.0 2 5 36.0 1 11.0
60.5 2 2 35.5 10.5
60.0 6 6 35.0 10.0
59.5 1 34.5 9.5
59.0 1 34.0 1 9.0
58.5 33.5 8.5
58.0 2 2 33.0 8.0
57.5 2 2 32.5 1 7.5
57.0 1 32.0 1 7.0
56.5 3 3 31.5 6.5
56.0 2 1 31.0 6.0
55.5 1 30.5 1 5.5
55.0 1 3 30.0 1 5.0
54.5 3 3 29.5 4.5
54.0 3 4 29.0 4.0
53.5 4 28.5 3.5
53.0 1 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 8 26.0 1 1.0
50.5 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Intn`l Locals
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
146.5 1
144.0 3
143.0 1
140.5 4
139.5 1 3
138.0 6
137.0 1 3
136.0 1 3 3
134.5 1 4
133.5 1 3 3
132.5 2 10 4
132.0 6
131.0 2 1 1
130.0 3 2 5 5 10
129.0 5 4 11 1 2
128.5 1 1 3
127.5 1 4 3 5
126.5 3 5 7 7 11
126.0 1
125.5 4 2 9 2
125.0 2 1 2 6
124.0 2 2 5 14 1 2
123.0 4 8 6 19 8
122.5 1 1 7
122.0 4 3 7 12 6
121.5 1 1 3 2
120.5 7 8 4 7
120.0 3
119.5 3 4 11 6 4
119.0 1 2
118.5 1 1 7 11 4
118.0 2 2 5 4 4
117.0 2 2 9 13 5
116.5 1
116.0 1 3 11 13 4
115.5 1 1 4
115.0 1 1 3 2 11 3
114.5 1 1 4 11 7
113.5 5 6 7 10 10
113.0 2
112.5 5 6 14 6 8
112.0 1 4 5 6 3
111.5 1 2 12 11 4
111.0 2 6 9 5 4
110.5 3
110.0 3 1 13 13 4
109.5 3
109.0 2 4 12 15 4
108.5 3 1 3 1 2
108.0 2 3 13 15 3
107.5 1 5 3 4 6
107.0 1
106.5 5 5 12 15 4
106.0 1 3 1 2
105.5 1 3 5 14 28 1 6
105.0 4 2 3 6
104.5 1 4 8 13 2
104.0 4 3 7 7 2
103.5 1
103.0 4 7 13 13 5
102.5 2 1
102.0 3 6 23 27 4
101.5 2 2 6 1
101.0 2 4 17 20 5
100.5 4 7 11 11 8
100.0 2 1 2 1
99.5 1 3 11 12 3
99.0 3 1 1
98.5 2 2 20 21 1
98.0 2 6 7 3
97.5 2 2
97.0 4 4 15 13 7
96.5 1 3 1
96.0 3 4 26 17 3
95.5 2 3 5 3
95.0 3 4 37 25 2
94.5 1 1 5 7 4
94.0 1 1 5 4 1
93.5 3 15 13 3
93.0 3 3 1
92.5 2 5 26 23 2
92.0 3 3 3 2
91.5 3 8 7
91.0 2 4 12 4 1
90.5 1 4 4
90.0 2 3 11 16 7
89.5 2 5 1 1
89.0 3 3 30 18 3
88.5 3 3 9 3
88.0 7 8 1
87.5 2 4 10 10 1
87.0 1 1 6 5 1
86.5 3 4 20 26
86.0 2 8 2
85.5 6 4
85.0 1 8 5 1
84.5 1 1 4 2 3
84.0 1 15 13 6
83.5 1 2 7 1 1
83.0 3 5 15 11 1
82.5 1 9 4 2
82.0 8 3
81.5 6 15 6 2
81.0 3 5 1 2
80.5 1 3 8 7 1
80.0 1 1 2
79.5 2 10 4
79.0 1 2 6 3 1
78.5 1 1 9 2
78.0 1 2 2 8 7 4
77.5 3 4 3 1
77.0 2 11 7 1
76.5 8 5
76.0 1 2 5 3 1
75.5 2 6 6
75.0 3 3
74.5 4 4
74.0 7 4 2
73.5 8 1
73.0 1 17 3
72.5 1 9 2
72.0 1 1 7 5 1
71.5 7 4
71.0 1 7 4 1
70.5 3 2
70.0 1 2 2
69.5 5 3
69.0 8 3 1
68.5 2 6 3
68.0 4 1
67.5 1 1 3 1
67.0 2 1 5 4
66.5 1 5 1
66.0 2 1 6 3
65.5 1 3 1 2
65.0 1 3 1
64.5 6 2
64.0 1 1 1
63.5 1 4 2
63.0 8
62.5 4 5
62.0 2 1
61.5 2 1
61.0 2 4 1 1
60.5 3 1
60.0 1 1 4 6 1
59.5 1
59.0 1
58.0 3 1
57.5 2 2
57.0 1
56.5 2 4
56.0 2 1
55.5 2
55.0 3 1
54.5 1 4 1
54.0 1 1 4 2
53.5 4
53.0 2
52.0 4
51.5 1
51.0 8
50.5 1 1
50.0 2
49.5 3
49.0 1 1
48.5 1
48.0 1 1 1
47.5 2
47.0 2
46.5 1
46.0 1
45.5 2
45.0 1 1
44.5 1
44.0 1 2
43.0 1
42.5 1 3
42.0 2 3
40.5 1
40.0 1
39.0 1
38.5 1 1
38.0 1
37.5 1
37.0 1 1
36.5 1
36.0 1
34.0 1
32.5 1
32.0 1
30.5 1
30.0 1
26.0 1
24.5 1
18.0 1 1
American Mathematics Competitions
2006 AMC 12 B Results for Intn`l Locals
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 0.18 0.15 9.04* 0.37 0.18 0.08 0.00
2 9.02* 0.18 0.06 0.05 0.26 0.43 0.00
3 8.83* 0.07 0.00 0.69 0.21 0.19 0.00
4 8.81* 0.37 0.11 0.21 0.05 0.45 0.00
5 8.59* 0.34 0.19 0.18 0.08 0.62 0.00
6 0.06 9.18* 0.07 0.07 0.39 0.22 0.00
7 0.41 8.86* 0.24 0.24 0.06 0.19 0.00
8 0.13 0.18 0.12 0.27 8.69* 0.62 0.00
9 0.48 5.22* 0.41 0.93 0.42 2.54 0.00
10 4.92* 0.49 0.79 0.14 2.55 1.12 0.00
11 0.46 0.12 0.82 0.70 6.26* 1.64 0.00
12 0.60 0.57 0.67 3.32* 0.51 4.32 0.00
13 0.61 0.44 5.71* 0.16 0.29 2.78 0.00
14 0.19 0.39 1.09 4.20* 0.21 3.92 0.00
15 0.19 5.62* 0.73 0.33 0.20 2.92 0.00
16 0.22 0.24 3.57* 0.27 0.25 5.44 0.00
17 0.96 0.14 3.97* 0.72 0.31 3.90 0.00
18 0.43 1.62* 1.23 0.23 0.21 6.28 0.00
19 0.11 3.14* 0.16 1.30 0.29 4.99 0.00
20 0.16 0.39 0.49* 0.18 0.94 7.85 0.00
21 0.25 0.12 0.73* 0.15 0.12 8.63 0.00
22 0.16 0.76* 0.68 0.19 0.10 8.10 0.00
23 0.14 0.19 0.31 0.24 0.73* 8.39 0.00
24 0.35 0.13 0.18* 0.25 0.14 8.95 0.00
25 0.10 0.23* 0.21 0.38 0.10 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