American Mathematics Competitions
2006 AMC 10 A Results for Massachusetts
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2064
Number of unofficial participants: 6
Average score of participants: 81.5
Average score for female students is: 78.0 ( 884 Students)
Average score for male students is: 85.0 ( 1077 Students)
Average score for unspecified gender is 75.8 ( 103 Students)
Average score for grade 10 is: 83.7 ( 1112 Students)
Average score for grade 9 is: 78.4 ( 859 Students)
Average score for grade 8 and below is: 91.1 ( 59 Students)
Average score with unknown grade: 75.7 ( 34 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 64
Number of schools returning results 65
Average school winning score 114.44
American Mathematics Competitions
2006 AMC 12 A Results for Massachusetts
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1969
Number of unofficial participants: 0
Average score of participants: 90.1
Average score for female students is: 86.3 ( 745 Students)
Average score for male students is: 92.4 ( 1145 Students)
Average score for unspecified gender is 93.0 ( 79 Students)
Average score for grade 13 is: 81.6 ( 4 Students)
Average score for grade 12 is: 90.3 ( 828 Students)
Average score for grade 11 is: 89.3 ( 1020 Students)
Average score for grade 10 is: 99.5 ( 60 Students)
Average score for grade 9 is: 94.0 ( 29 Students)
Average score for grade 8 and below is: 101.0 ( 8 Students)
Average score with unknown grade: 85.7 ( 20 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 577
Number of schools returning results 71
Average school winning score 115.38
Average school team score 330.19
American Mathematics Competitions
2006 AMC 10 B Results for Massachusetts
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 955
Number of unofficial participants: 34
Average score of participants: 73.8
Average score for female students is: 68.1 ( 408 Students)
Average score for male students is: 77.8 ( 499 Students)
Average score for unspecified gender is 81.6 ( 48 Students)
Average score for grade 10 is: 77.1 ( 521 Students)
Average score for grade 9 is: 69.2 ( 391 Students)
Average score for grade 8 and below is: 73.7 ( 33 Students)
Average score with unknown grade: 83.3 ( 10 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 38
Number of schools returning results 40
Average school winning score 111.93
American Mathematics Competitions
2006 AMC 12 B Results for Massachusetts
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1070
Number of unofficial participants: 0
Average score of participants: 92.0
Average score for female students is: 85.4 ( 426 Students)
Average score for male students is: 96.7 ( 589 Students)
Average score for unspecified gender is 92.2 ( 55 Students)
Average score for grade 12 is: 91.3 ( 418 Students)
Average score for grade 11 is: 90.9 ( 557 Students)
Average score for grade 10 is: 106.0 ( 42 Students)
Average score for grade 9 is: 102.5 ( 35 Students)
Average score for grade 8 and below is: 115.5 ( 2 Students)
Average score with unknown grade: 84.3 ( 16 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 358
Number of schools returning results 53
Average school winning score 116.42
Average school team score 326.43
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
414.5 1 1
406.5 1 2
399.5 1 3
397.5 1 4
394.0 1 5
386.5 1 6
383.0 1 2 7
381.0 1 10
377.5 1 11
376.0 1 1 12
375.0 1 14
372.5 1 15
371.5 2 16
369.0 1 18
367.0 3 19
366.0 1 22
365.0 1 23
363.5 1 24
362.5 1 25
362.0 1 26
361.5 1 27
361.0 1 28
360.0 1 29
359.0 1 30
357.0 1 31
356.5 1 32
356.0 2 33
355.0 1 35
354.5 1 36
354.0 1 1 37
353.0 1 39
352.0 1 40
351.0 2 41
350.5 3 43
349.5 2 46
346.0 2 48
345.5 1 50
345.0 1 51
343.0 1 52
342.0 1 53
341.0 1 54
340.0 3 1 55
339.0 1 59
338.5 1 1 60
337.5 2 62
336.0 1 64
335.5 2 65
334.0 1 67
332.0 1 68
331.0 1 1 69
329.5 1 71
327.0 1 72
324.0 1 73
322.0 1 74
321.5 1 75
320.5 1 76
317.5 1 77
316.5 1 78
315.0 1 79
314.0 1 80
313.5 1 81
313.0 1 1 82
312.5 1 84
310.5 1 85
309.5 1 86
308.5 1 87
307.5 1 88
307.0 1 89
306.0 1 90
305.5 1 91
304.5 1 92
304.0 1 93
303.5 1 1 94
303.0 4 96
302.0 1 100
301.0 2 1 101
300.5 1 104
299.5 1 105
295.5 1 106
295.0 1 107
293.5 1 108
293.0 1 109
290.0 1 1 110
285.5 1 112
284.0 1 113
280.5 1 114
280.0 1 115
274.5 1 116
257.5 1 117
255.5 1 118
245.5 1 119
216.5 1 120
211.0 1 121
192.5 1 122
180.5 1 123
103.5 1 124
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 4 3
144.0 3 4 1
143.0 2 1
140.5 1 2
139.5 1 1 1 1
138.0 4
137.0 1 3 1
136.0 1 5 1
134.5 2 1
133.5 1 2 2 2
132.5 4 1 1
132.0 2 2
131.0 1 5 1
130.0 1 2 5
129.0 6 5 1 1
128.5 2
127.5 1 3
126.5 7 6 3 2
126.0 2 1
125.5 6 4 2 1
125.0 1
124.0 8 2 5
123.0 7 8 6 2
122.5 1 2
122.0 10 7 2
121.5 1 3 4
120.5 2 6 3 3
120.0 1 2
119.5 10 14 6 2
119.0 3 2
118.5 38 9 2 2
118.0 1 3 2 2
117.0 5 4 7 6
116.5 3
116.0 24 9 11 2
115.5 2 8 3
115.0 14 9 1
114.5 4 3 7
114.0 1
113.5 15 9 13 7
113.0 2
112.5 44 12 5 3
112.0 1 2 3 2
111.5 11 21 1 4
111.0 3 6 5 4
110.5 1 1
110.0 21 6 16 7
109.5 6 1
109.0 42 14 8 6
108.5 2 1 9 3
108.0 10 25 4 1
107.5 13 3 9 3
107.0 2
106.5 51 5 8 5
106.0 9
105.5 23 25 6 2
105.0 3 2 12 3
104.5 4 17 1 1
104.0 32 4 12 1
103.5 1 3 1
103.0 39 15 14 2
102.5 2 7 2
102.0 39 35 7 2
101.5 22 3 17 9
101.0 12 29 3
100.5 44 5 15 6
100.0 1
99.5 42 17 16 5
99.0 5 2 17 1
98.5 18 20 8 4
98.0 24 3 25 11
97.5 2 7 13 1
97.0 44 14 21 6
96.5 4 7 3
96.0 37 28 17 4
95.5 13 1 17 6
95.0 30 34 18 2
94.5 33 10 20 6
94.0 4 7 4 1
93.5 45 15 26 6
93.0 2 13 3
92.5 29 23 14 3
92.0 23 3 26 12
91.5 8 15 12 3
91.0 36 5 19 5
90.5 9 4 9 1
90.0 48 18 26 4
89.5 8 16 4
89.0 42 36 15 6
88.5 24 7 31 5
88.0 3 9 14 2
87.5 42 16 21 5
87.0 8 6 12 1
86.5 34 28 24 5
86.0 17 5 32 14
85.5 16 15 20 3
85.0 29 9 28 10
84.5 9 9 23 6
84.0 35 11 31 8
83.5 13 4 22 4
83.0 43 21 27 8
82.5 20 4 22 11
82.0 8 10 18 4
81.5 29 8 29 3
81.0 7 4 13 3
80.5 24 9 30 10
80.0 10 6 20 4
79.5 17 15 26 4
79.0 23 8 21 14
78.5 10 8 18 8
78.0 26 19 33 11
77.5 7 6 13 9
77.0 26 17 25 10
76.5 19 4 12 8
76.0 4 8 13 5
75.5 19 9 27 11
75.0 7 5 22 3
74.5 19 7 28 11
74.0 7 6 29 9
73.5 12 8 26 7
73.0 14 2 17 8
72.5 10 2 18 12
72.0 19 8 37 11
71.5 8 3 15 7
71.0 20 6 26 17
70.5 10 9 17 10
70.0 8 7 20 5
69.5 16 7 24 12
69.0 5 2 10 6
68.5 15 8 21 7
68.0 6 3 9 10
67.5 14 2 17 9
67.0 7 3 18 9
66.5 10 4 16 8
66.0 15 7 19 17
65.5 2 2 10 3
65.0 8 4 14 7
64.5 5 12 10
64.0 7 1 11 4
63.5 5 2 16 6
63.0 4 3 10 4
62.5 7 1 14 13
62.0 5 3 13 8
61.5 4 3 8 9
61.0 6 3 10 7
60.5 2 2 6 4
60.0 13 4 31 9
59.5 5 1 8 7
59.0 3 2 9 7
58.5 2 2 5 8
58.0 2 3 7 5
57.5 4 8 10
57.0 1 1 12 5
56.5 4 1 8 6
56.0 2 5 10 5
55.5 1 7
55.0 1 1 13 6
54.5 3 2 12 8
54.0 4 3 17 10
53.5 3 2 11 9
53.0 3 2 1 7
52.5 3 1 7 4
52.0 1 4 5
51.5 2 6 5
51.0 5 1 3 3
50.5 1 2 7 5
50.0 2 4 7
49.5 3 4 7
49.0 1 4 4
48.5 2 2 5
48.0 3 2 8 9
47.5 1 4 4
47.0 3 2 4
46.5 2 4 9
46.0 2 5 4
45.5 1 1 5
45.0 1 1 3
44.5 1 5 10
44.0 2 1
43.5 1 5
43.0 1 2
42.5 2 2
42.0 2 2 10 7
41.5 4 4
41.0 1 1 2
40.5 3
40.0 3
39.5 1 2
39.0 1 1 1 3
38.5 2 2
38.0 1 1 1
37.5 1 1
37.0 2
36.5 3
36.0 1 7 6
35.5 1 3
35.0 1 2 4
34.5 2
33.0 1 1
32.5 1 2 1
32.0 1
31.5 2
31.0 1 1
30.5 2
30.0 2 4 5
29.5 1
29.0 2
28.5 1
28.0 1 2
27.5 1
26.5 1 1
24.5 2
24.0 2 1 2
19.5 1
18.0 1 1
14.5 2
12.0 1
6.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Massachusetts
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 4 125.0 100.0 1
149.5 124.5 99.5 10 3
149.0 124.0 2 99.0 12 3
148.5 123.5 98.5 4 4
148.0 123.0 5 1 98.0 17 8
147.5 122.5 2 97.5 6 7
147.0 122.0 97.0 12 9
146.5 121.5 3 96.5 6 1
146.0 121.0 96.0 8 9
145.5 120.5 3 95.5 10 7
145.0 120.0 2 95.0 12 6
144.5 119.5 4 2 94.5 4 15
144.0 4 119.0 3 94.0 3 1
143.5 118.5 1 1 93.5 11 15
143.0 2 118.0 2 93.0 9 4
142.5 117.5 92.5 3 8
142.0 117.0 6 1 92.0 16 10
141.5 116.5 3 91.5 7 5
141.0 116.0 8 3 91.0 10 8
140.5 115.5 5 2 90.5 6 3
140.0 115.0 1 90.0 13 12
139.5 1 114.5 5 2 89.5 11 3
139.0 114.0 89.0 6 9
138.5 113.5 8 5 88.5 14 15
138.0 4 113.0 2 88.0 4 8
137.5 112.5 2 2 87.5 12 8
137.0 2 1 112.0 3 87.0 6 5
136.5 111.5 1 86.5 13 9
136.0 111.0 4 1 86.0 19 12
135.5 110.5 1 85.5 12 7
135.0 110.0 13 3 85.0 13 12
134.5 2 109.5 6 84.5 12 9
134.0 109.0 5 2 84.0 17 13
133.5 2 108.5 5 4 83.5 11 9
133.0 108.0 1 3 83.0 12 13
132.5 1 107.5 5 3 82.5 14 8
132.0 2 107.0 2 82.0 9 8
131.5 106.5 6 2 81.5 18 10
131.0 5 106.0 7 1 81.0 7 6
130.5 105.5 2 4 80.5 16 13
130.0 4 1 105.0 6 6 80.0 14 6
129.5 104.5 1 79.5 11 12
129.0 1 104.0 6 6 79.0 12 9
128.5 103.5 2 1 78.5 9 7
128.0 103.0 9 4 78.0 15 17
127.5 3 102.5 4 3 77.5 6 6
127.0 102.0 4 2 77.0 10 13
126.5 2 1 101.5 11 6 76.5 5 7
126.0 2 101.0 3 76.0 4 8
125.5 2 100.5 5 10 75.5 12 14
American Mathematics Competitions
2006 AMC 10 A Results for Massachusetts
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 13 9 50.0 2 2 25.0
74.5 16 10 49.5 2 2 24.5
74.0 13 15 49.0 4 24.0
73.5 8 15 48.5 2 23.5
73.0 8 8 48.0 3 4 23.0
72.5 11 6 47.5 2 2 22.5
72.0 20 16 47.0 2 22.0
71.5 8 6 46.5 2 1 21.5
71.0 15 11 46.0 4 1 21.0
70.5 4 12 45.5 1 20.5
70.0 6 13 45.0 1 20.0
69.5 14 10 44.5 2 3 19.5
69.0 5 3 44.0 2 19.0
68.5 10 11 43.5 1 18.5
68.0 4 2 43.0 1 18.0 1
67.5 8 8 42.5 2 17.5
67.0 8 9 42.0 2 6 17.0
66.5 7 8 41.5 1 2 16.5
66.0 9 8 41.0 1 16.0
65.5 1 8 40.5 15.5
65.0 8 5 40.0 15.0
64.5 4 8 39.5 1 14.5 2
64.0 1 9 39.0 1 14.0
63.5 8 8 38.5 1 1 13.5
63.0 6 3 38.0 1 13.0
62.5 3 8 37.5 1 12.5
62.0 6 6 37.0 12.0
61.5 5 2 36.5 11.5
61.0 5 5 36.0 2 3 11.0
60.5 3 3 35.5 10.5
60.0 14 16 35.0 2 10.0
59.5 3 5 34.5 9.5
59.0 4 4 34.0 9.0
58.5 2 2 33.5 8.5
58.0 7 33.0 1 8.0
57.5 3 5 32.5 1 1 7.5
57.0 7 5 32.0 7.0
56.5 2 6 31.5 6.5
56.0 4 4 31.0 1 6.0
55.5 1 30.5 5.5
55.0 6 6 30.0 3 1 5.0
54.5 6 5 29.5 1 4.5
54.0 7 7 29.0 4.0
53.5 4 7 28.5 3.5
53.0 1 28.0 1 3.0
52.5 1 6 27.5 2.5
52.0 3 1 27.0 2.0
51.5 3 3 26.5 1.5
51.0 1 2 26.0 1.0
50.5 3 4 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Massachusetts
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 3 1
144.0 3 1
143.0 2
139.5 1
138.0 1 3
137.0 2 1
134.5 1 1
133.5 1 1
132.5 1
132.0 1 1
131.0 1 4
130.0 3 2
129.0 1
127.5 1 2
126.5 3
126.0 1 1
125.5 2
124.0 2
123.0 1 2 3
122.5 2
121.5 1 1 1
120.5 2 1
120.0 1 1
119.5 3 3
119.0 2 1
118.5 2
118.0 2
117.0 1 1 5
116.5 1 2
116.0 2 9
115.5 1 6 1
115.0 1
114.5 2 5
113.5 1 5 7
113.0 2
112.5 3 2
112.0 2 1
111.5 1
111.0 3 2
110.5 1
110.0 1 7 8
109.5 2 4
109.0 2 6
108.5 3 6
108.0 1 3
107.5 1 3 5
107.0 2
106.5 2 6
106.0 1 8
105.5 3 3
105.0 3 9
104.5 1
104.0 3 9
103.5 2 1
103.0 4 10
102.5 2 5
102.0 2 3 2
101.5 4 13
101.0 1 2
100.5 1 5 9
100.0 1
99.5 1 6 8 1
99.0 3 5 9
98.5 1 7
98.0 7 18
97.5 1 12
97.0 1 12 8
96.5 4 3
96.0 8 9
95.5 1 2 3 10 1
95.0 1 8 9
94.5 1 6 12 1
94.0 1 3
93.5 8 17 1
93.0 5 8
92.5 1 7 6
92.0 1 10 15
91.5 4 8
91.0 1 1 6 11
90.5 3 6
90.0 12 13 1
89.5 1 2 13
89.0 6 9
88.5 1 12 18
88.0 6 7 1
87.5 9 12
87.0 1 11
86.5 9 15
86.0 1 10 20 1
85.5 1 8 9 2
85.0 1 13 14
84.5 7 16
84.0 13 17 1
83.5 1 9 11 1
83.0 2 9 15 1
82.5 2 7 13
82.0 7 11
81.5 1 12 16
81.0 5 8
80.5 11 19
80.0 2 8 10
79.5 1 10 13 2
79.0 11 10
78.5 8 9 1
78.0 1 13 18 1
77.5 1 5 7
77.0 13 11 1
76.5 5 7
76.0 6 7
75.5 10 16 1
75.0 8 14
74.5 1 16 10 1
74.0 19 10
73.5 1 11 13 1
73.0 6 11
72.5 7 11
72.0 15 22
71.5 6 9
71.0 11 15
70.5 12 5
70.0 14 6
69.5 11 13
69.0 6 4
68.5 11 10
68.0 1 5 3
67.5 1 6 9 1
67.0 1 10 7
66.5 1 9 4 2
66.0 1 11 7
65.5 6 4
65.0 8 6
64.5 1 4 7
64.0 5 6
63.5 10 6
63.0 6 4
62.5 6 8
62.0 8 5
61.5 4 4
61.0 6 4
60.5 2 4
60.0 21 10
59.5 4 4
59.0 4 4 1
58.5 3 2
58.0 5 2
57.5 6 2
57.0 4 8
56.5 4 4
56.0 4 6
55.5 1
55.0 5 8
54.5 9 3
54.0 10 5 2
53.5 5 6
53.0 1
52.5 1 6
52.0 3 1
51.5 3 3
51.0 1 2
50.5 1 4 2
50.0 3 1
49.5 3 1
49.0 2 2
48.5 1 1
48.0 5 3
47.5 1 3
47.0 1 1
46.5 2 1 1
46.0 5
45.5 1
45.0 1
44.5 4 1
44.0 1 1
43.5 1
43.0 1
42.5 2
42.0 1 4 4 1
41.5 3 1
41.0 1
39.5 1
39.0 1
38.5 2
38.0 1
37.5 1
36.0 3 3 1
35.5 1
35.0 1 1
33.0 1
32.5 2
31.0 1
30.0 2 2
29.5 1
28.0 1
18.0 1
14.5 1 1
American Mathematics Competitions
2006 AMC 10 A Results for Massachusetts
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 9.91* 0.01 0.03 0.03 0.00 0.01 0.00
2 1.75 0.18 3.44* 0.16 1.45 3.02 0.00
3 0.06 8.56* 0.09 0.03 1.22 0.04 0.00
4 2.02 0.14 0.05 0.09 7.39* 0.31 0.01
5 0.15 1.07 1.13 7.21* 0.16 0.29 0.00
6 0.18 8.30* 0.36 0.08 0.07 1.00 0.00
7 7.39* 0.13 0.36 0.24 0.35 1.52 0.00
8 0.82 0.39 0.39 0.15 3.25* 5.00 0.00
9 1.46 1.40 6.08* 0.32 0.13 0.62 0.00
10 0.36 0.14 0.82 3.09 1.19* 4.40 0.00
11 1.64 1.56 2.01* 0.58 0.81 3.40 0.00
12 0.76 0.48 5.04* 0.98 0.31 2.43 0.00
13 0.34 1.08 0.29 5.56* 0.16 2.57 0.00
14 1.67 4.21* 0.17 1.08 0.78 2.09 0.00
15 0.66 0.39 0.44 1.57* 0.55 6.39 0.00
16 0.27 0.27 0.51 0.46* 0.75 7.74 0.00
17 2.30* 0.43 0.23 0.40 0.22 6.42 0.00
18 1.96 0.16 3.25* 0.32 0.18 4.14 0.00
19 0.46 1.47 1.20* 0.28 0.32 6.26 0.00
20 0.31 1.02 0.40 0.40 0.78* 7.09 0.00
21 0.78 0.62 0.29 0.57 1.31* 6.43 0.00
22 0.11 0.83 3.84* 3.22 0.65 1.34 0.00
23 0.60 1.85* 0.19 0.22 0.51 6.63 0.00
24 0.67 0.59* 0.27 0.27 0.39 7.81 0.00
25 2.02 0.79 0.49* 0.45 0.24 6.01 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 Massachusetts
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 27 14
149.0 124.0 99.0 5
148.5 123.5 98.5 13 4
148.0 123.0 5 2 98.0 13 9
147.5 122.5 97.5 2
147.0 122.0 8 1 97.0 28 14
146.5 121.5 1 96.5 2 2
146.0 121.0 96.0 22 14
145.5 120.5 1 95.5 8 5
145.0 120.0 95.0 20 8
144.5 119.5 7 3 94.5 20 10
144.0 3 119.0 94.0 1 3
143.5 118.5 32 6 93.5 27 17
143.0 118.0 1 93.0 1 1
142.5 117.5 92.5 17 11
142.0 117.0 3 2 92.0 16 7
141.5 116.5 91.5 4 4
141.0 116.0 18 4 91.0 19 16
140.5 1 115.5 90.5 7 2
140.0 115.0 9 5 90.0 29 19
139.5 1 114.5 4 89.5 3 2
139.0 114.0 89.0 24 13
138.5 113.5 10 3 88.5 13 11
138.0 113.0 88.0 1
137.5 112.5 33 11 87.5 16 23
137.0 112.0 1 87.0 4 3
136.5 111.5 4 5 86.5 20 12
136.0 1 111.0 2 1 86.0 10 6
135.5 110.5 85.5 8 8
135.0 110.0 12 7 85.0 10 18
134.5 109.5 84.5 5 4
134.0 109.0 21 19 84.0 23 12
133.5 1 108.5 1 83.5 7 6
133.0 108.0 8 1 83.0 20 19
132.5 107.5 9 3 82.5 11 8
132.0 107.0 82.0 4 4
131.5 106.5 40 8 81.5 10 18
131.0 106.0 81.0 1 6
130.5 105.5 14 9 80.5 14 9
130.0 1 105.0 2 1 80.0 6 4
129.5 104.5 3 1 79.5 7 9
129.0 5 1 104.0 19 10 79.0 19 4
128.5 103.5 78.5 7 3
128.0 103.0 26 13 78.0 12 14
127.5 1 102.5 2 77.5 3 3
127.0 102.0 24 12 77.0 16 10
126.5 7 101.5 14 7 76.5 11 7
126.0 101.0 8 4 76.0 2 2
125.5 5 1 100.5 28 15 75.5 5 14
American Mathematics Competitions
2006 AMC 12 A Results for Massachusetts
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 5 1 50.0 25.0
74.5 7 12 49.5 2 1 24.5
74.0 3 4 49.0 1 24.0 2
73.5 6 4 48.5 23.5
73.0 10 4 48.0 1 2 23.0
72.5 4 5 47.5 22.5
72.0 9 8 47.0 3 22.0
71.5 6 1 46.5 1 1 21.5
71.0 11 9 46.0 2 21.0
70.5 3 7 45.5 1 20.5
70.0 3 5 45.0 1 20.0
69.5 4 12 44.5 1 19.5
69.0 2 3 44.0 19.0
68.5 11 4 43.5 18.5
68.0 3 3 43.0 18.0
67.5 3 11 42.5 17.5
67.0 5 2 42.0 1 1 17.0
66.5 8 2 41.5 16.5
66.0 6 9 41.0 1 16.0
65.5 2 40.5 15.5
65.0 3 4 40.0 15.0
64.5 2 3 39.5 14.5
64.0 1 6 39.0 1 14.0
63.5 3 2 38.5 13.5
63.0 4 38.0 13.0
62.5 1 6 37.5 12.5
62.0 2 3 37.0 12.0 1
61.5 3 1 36.5 11.5
61.0 1 4 36.0 11.0
60.5 1 1 35.5 10.5
60.0 7 5 35.0 1 10.0
59.5 3 2 34.5 9.5
59.0 3 34.0 9.0
58.5 2 33.5 8.5
58.0 2 33.0 8.0
57.5 32.5 1 7.5
57.0 1 32.0 7.0
56.5 3 1 31.5 6.5
56.0 2 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 2 5.0
54.5 2 1 29.5 4.5
54.0 2 2 29.0 1 1 4.0
53.5 2 1 28.5 3.5
53.0 2 1 28.0 3.0
52.5 3 27.5 2.5
52.0 1 27.0 2.0
51.5 26.5 1 1.5
51.0 2 3 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Massachusetts
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
144.0 2 1
140.5 1
139.5 1
136.0 1
133.5 1
130.0 1
129.0 1 1 1 2 1
127.5 1
126.5 1 2 4
125.5 1 4 1
123.0 3 4
122.0 1 4 5
121.5 1
120.5 2
119.5 1 4 5
118.5 1 5 17 15
118.0 1
117.0 1 1 3
116.0 17 7
115.0 7 7
114.5 1 3
113.5 1 8 5 1
112.5 2 2 22 16 1 1
112.0 1
111.5 3 5 3
111.0 1 2
110.0 12 9
109.0 1 3 20 17 1
108.5 1 1
108.0 1 1 3 5
107.5 1 3 8 1
106.5 2 27 22
105.5 1 1 12 9
105.0 2 1
104.5 1 1 2
104.0 1 12 19
103.0 1 14 23 1
102.5 2
102.0 5 4 17 13
101.5 1 12 9
101.0 7 5
100.5 21 23
99.5 1 1 20 20
99.0 4 1
98.5 1 4 12 1
98.0 14 10
97.5 2
97.0 1 21 22
96.5 1 3
96.0 1 22 12 2
95.5 1 10 2
95.0 3 14 13
94.5 16 16 1
94.0 2 2
93.5 1 25 19
93.0 1 1
92.5 1 1 15 11 1
92.0 12 10 1
91.5 1 6 1
91.0 1 18 17
90.5 4 5
90.0 2 26 20
89.5 4 4
89.0 5 1 22 14
88.5 1 9 14
88.0 1 1 1
87.5 1 2 28 11
87.0 4 3 1
86.5 1 21 11 1
86.0 1 8 8
85.5 9 7
85.0 18 11
84.5 7 2
84.0 1 24 10
83.5 5 8
83.0 2 30 11
82.5 8 12
82.0 4 3 1
81.5 2 19 8
81.0 1 1 5
80.5 1 10 13
80.0 4 6
79.5 1 10 6
79.0 1 1 12 9
78.5 5 5
78.0 1 14 11
77.5 4 3
77.0 1 2 16 6 1
76.5 1 10 8
76.0 4
75.5 9 10
75.0 4 2 1
74.5 8 11
74.0 3 4
73.5 7 5
73.0 1 7 6
72.5 3 7
72.0 11 8
71.5 6 2
71.0 1 13 6
70.5 5 5
70.0 1 3 4
69.5 9 7
69.0 4 1
68.5 1 7 6 1
68.0 2 4
67.5 6 7 1
67.0 3 3 1
66.5 5 5
66.0 7 8
65.5 2
65.0 5 3
64.5 3 2
64.0 5 2
63.5 4 1
63.0 4
62.5 4 3
62.0 4 1
61.5 2 2
61.0 3 3
60.5 1 1
60.0 1 5 7
59.5 4 1
59.0 2 1
58.5 1 1
58.0 2
57.0 1
56.5 3 1
56.0 2
55.0 1
54.5 1 2
54.0 2 2
53.5 2 1
53.0 1 2
52.5 1 2
52.0 1
51.0 2 3
50.5 1
49.5 1 2
49.0 1
48.0 2 1
47.0 1 2
46.5 1 1
46.0 2
45.5 1
45.0 1
44.5 1
42.0 2
41.0 1
39.0 1
35.0 1
32.5 1
30.0 1 1
29.0 2
26.5 1
24.0 2
12.0 1
American Mathematics Competitions
2006 AMC 12 A Results for Massachusetts
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 9.93* 0.01 0.02 0.03 0.00 0.01 0.00
2 1.57 0.11 6.17* 0.06 0.48 1.61 0.01
3 0.03 9.12* 0.04 0.03 0.75 0.04 0.00
4 1.49 0.09 0.02 0.07 8.14* 0.19 0.00
5 0.04 0.50 0.78 8.38* 0.08 0.21 0.01
6 7.79* 0.10 0.23 0.19 0.32 1.36 0.01
7 0.62 6.23* 0.63 0.56 0.39 1.56 0.00
8 0.74 0.91 7.59* 0.24 0.08 0.44 0.01
9 8.57* 0.13 0.04 0.05 0.28 0.93 0.00
10 0.16 0.08 0.68 3.81 2.50* 2.77 0.00
11 1.43 0.95 3.25* 0.76 0.69 2.93 0.01
12 1.46 5.92* 0.13 0.66 0.25 1.58 0.01
13 0.35 0.12 0.14 0.07 6.49* 2.84 0.00
14 0.06 0.54 5.84* 1.93 0.27 1.36 0.01
15 3.93* 1.09 0.18 0.51 1.38 2.91 0.00
16 0.19 4.55* 0.16 0.17 0.45 4.48 0.00
17 0.33 0.74* 0.42 0.33 0.08 8.11 0.00
18 1.28 0.12 0.23 0.46 0.54* 7.36 0.00
19 0.14 0.08 0.18 0.17 0.29* 9.14 0.00
20 1.52 0.54 0.62* 0.29 0.15 6.87 0.00
21 0.07 0.11 0.30 0.12 0.27* 9.13 0.00
22 0.11 0.17 0.08 0.14* 0.06 9.45 0.00
23 0.08 0.15* 0.17 0.10 0.12 9.39 0.00
24 0.98 0.15 0.16 0.28* 0.11 8.31 0.00
25 0.08 0.17 0.15 0.17 0.10* 9.33 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 Massachusetts
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 1 125.0 100.0
149.5 124.5 99.5 1 2
149.0 124.0 3 99.0 1
148.5 123.5 98.5 3 1
148.0 123.0 2 98.0 5 6
147.5 122.5 97.5 1
147.0 122.0 1 1 97.0 5
146.5 121.5 4 96.5 2 1
146.0 121.0 96.0 3
145.5 120.5 3 95.5 3 3
145.0 120.0 95.0 2
144.5 119.5 1 1 94.5 6
144.0 1 119.0 2 94.0 1
143.5 118.5 2 93.5 3 3
143.0 1 118.0 1 93.0 2 1
142.5 117.5 92.5 2
142.0 117.0 5 1 92.0 9 3
141.5 116.5 91.5 2
141.0 116.0 2 91.0 2 2
140.5 2 115.5 3 90.5 1
140.0 115.0 90.0 1 3
139.5 1 114.5 89.5 1 3
139.0 114.0 1 89.0 1 5
138.5 113.5 3 3 88.5 3 2
138.0 113.0 88.0 1
137.5 112.5 1 2 87.5 2 3
137.0 112.0 2 87.0 1
136.5 111.5 3 1 86.5 2 2
136.0 1 111.0 3 1 86.0 11 3
135.5 110.5 1 85.5 3
135.0 110.0 4 3 85.0 8 2
134.5 1 109.5 1 84.5 4 2
134.0 109.0 3 1 84.0 3 5
133.5 2 108.5 2 1 83.5 3
133.0 108.0 1 83.0 2 6
132.5 1 107.5 3 82.5 11
132.0 107.0 82.0 3 1
131.5 106.5 4 1 81.5 1 2
131.0 1 106.0 81.0 1 2
130.5 105.5 1 1 80.5 5 5
130.0 105.0 1 1 80.0 2 2
129.5 104.5 1 79.5 3 1
129.0 1 104.0 1 79.0 8 5
128.5 1 103.5 1 78.5 7 1
128.0 103.0 1 78.0 7 3
127.5 102.5 1 1 77.5 4 5
127.0 102.0 1 1 77.0 6 3
126.5 1 1 101.5 4 5 76.5 4 3
126.0 1 101.0 76.0 3 2
125.5 1 100.5 3 2 75.5 9 2
American Mathematics Competitions
2006 AMC 10 B Results for Massachusetts
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 50.0 3 3 25.0
74.5 5 6 49.5 3 3 24.5 1 1
74.0 4 4 49.0 4 24.0 1 1
73.5 3 4 48.5 3 2 23.5
73.0 4 4 48.0 1 7 23.0
72.5 5 7 47.5 4 22.5
72.0 7 3 47.0 3 22.0
71.5 3 3 46.5 5 2 21.5
71.0 10 7 46.0 4 21.0
70.5 1 9 45.5 1 4 20.5
70.0 3 2 45.0 1 2 20.0
69.5 5 6 44.5 6 4 19.5 1
69.0 1 5 44.0 1 19.0
68.5 5 2 43.5 3 2 18.5
68.0 7 2 43.0 1 1 18.0 1
67.5 2 7 42.5 1 1 17.5
67.0 7 2 42.0 5 2 17.0
66.5 5 3 41.5 2 2 16.5
66.0 8 6 41.0 1 1 16.0
65.5 2 1 40.5 1 2 15.5
65.0 2 4 40.0 1 2 15.0
64.5 6 4 39.5 1 1 14.5
64.0 2 2 39.0 1 1 14.0
63.5 3 3 38.5 2 13.5
63.0 4 38.0 1 13.0
62.5 8 5 37.5 1 12.5
62.0 3 5 37.0 2 12.0
61.5 6 3 36.5 2 1 11.5
61.0 1 6 36.0 5 11.0
60.5 4 35.5 1 2 10.5
60.0 5 4 35.0 2 2 10.0
59.5 5 2 34.5 2 9.5
59.0 2 5 34.0 9.0
58.5 5 2 33.5 8.5
58.0 1 3 33.0 1 8.0
57.5 5 4 32.5 1 7.5
57.0 5 32.0 1 7.0
56.5 3 3 31.5 1 1 6.5
56.0 4 1 31.0 1 6.0 1
55.5 2 5 30.5 2 5.5
55.0 3 3 30.0 1 4 5.0
54.5 8 29.5 4.5
54.0 3 6 29.0 4.0
53.5 5 4 28.5 1 3.5
53.0 3 4 28.0 1 1 3.0
52.5 2 2 27.5 1 2.5
52.0 1 4 27.0 2.0
51.5 1 4 26.5 1 1.5
51.0 3 26.0 1.0
50.5 3 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Massachusetts
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 3
144.0 1
143.0 1
140.5 2
139.5 1
137.0 1
136.0 1
134.5 1
133.5 2
132.5 1
131.0 1
129.0 1
128.5 1 1
126.5 2
126.0 1
125.5 1
124.0 2 3
123.0 2
122.0 1 1
121.5 1 1 2
120.5 3
119.5 1 1
119.0 1 1
118.5 1 1
118.0 2
117.0 2 4
116.0 1 1
115.5 3
114.0 1
113.5 4 2 1
112.5 1 2
112.0 1 1
111.5 4
111.0 4
110.5 1
110.0 3 4
109.5 1
109.0 1 1 3 1
108.5 2 1
108.0 1
107.5 3
106.5 1 4
105.5 1 1
105.0 3
104.5 1
104.0 1
103.5 1
103.0 1 1
102.5 2
102.0 1 1
101.5 1 8
100.5 1 2 3
99.5 2 2 1
99.0 1
98.5 3 1
98.0 1 2 8
97.5 1
97.0 1 2 3
96.5 3
96.0 1 3
95.5 2 4
95.0 1 1
94.5 1 2 3
94.0 1
93.5 2 4
93.0 1 2
92.5 2 1
92.0 4 8
91.5 1 1 1
91.0 2 3
90.5 1
90.0 1 3
89.5 4
89.0 2 4
88.5 2 3
88.0 2
87.5 2 3
87.0 1
86.5 2 3
86.0 3 11
85.5 1 2
85.0 1 9
84.5 1 2 3
84.0 5 3
83.5 1 3
83.0 1 7
82.5 7 4
82.0 2 2
81.5 1 2
81.0 1 1 1
80.5 4 6
80.0 1 2 1
79.5 1 1 2
79.0 7 7
78.5 2 6
78.0 4 7
77.5 3 6
77.0 3 6 1
76.5 5 3
76.0 4 1
75.5 1 7 3
75.0 1 2
74.5 3 7 1
74.0 1 5 3
73.5 2 5
73.0 1 4 3
72.5 5 7
72.0 1 9 1
71.5 1 6
71.0 8 9
70.5 2 8
70.0 2 3
69.5 8 4
69.0 4 2
68.5 1 5 1
68.0 1 5 4
67.5 5 4
67.0 6 3
66.5 4 4
66.0 1 5 11
65.5 3
65.0 4 3
64.5 3 7
64.0 2 2
63.5 1 5
63.0 3 1
62.5 1 6 6
62.0 4 4
61.5 4 5
61.0 4 3
60.5 2 2
60.0 3 6
59.5 2 5
59.0 5 2
58.5 1 3 4
58.0 3 2
57.5 3 7
57.0 4 1
56.5 2 4
56.0 2 3
55.5 5 2
55.0 2 4
54.5 2 6
54.0 1 7 2
53.5 5 4
53.0 4 3
52.5 2 2
52.0 4 1
51.5 3 2
51.0 1 2
50.5 4 1
50.0 4 3
49.5 1 5 1
49.0 1 3
48.5 2 3
48.0 1 2 5 1
47.5 1 3
47.0 3 1
46.5 4 4 1
46.0 3 1
45.5 2 3
45.0 3
44.5 5 5
44.0 1
43.5 2 3
43.0 2
42.5 1 1
42.0 1 5 1
41.5 1 3
41.0 1 1
40.5 3
40.0 2 1
39.5 1 1
39.0 1 2
38.5 1 1
38.0 1
37.5 1
37.0 2
36.5 2 1
36.0 1 2 3
35.5 1 2
35.0 1 2 1
34.5 1 1
33.0 1
32.5 1
32.0 1
31.5 1 1
31.0 1
30.5 1 1
30.0 1 4
28.5 1
28.0 1 1
27.5 1
26.5 1
24.5 1 1
24.0 1 1
19.5 1
18.0 1
6.0 1
American Mathematics Competitions
2006 AMC 10 B Results for Massachusetts
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 0.49 0.51 6.38* 1.53 0.73 0.36 0.00
2 6.60* 0.47 0.05 0.12 0.45 2.31 0.00
3 8.17* 0.17 0.02 1.18 0.28 0.17 0.01
4 1.43 1.53 0.35 4.23* 1.74 0.72 0.00
5 0.53 5.75* 2.02 0.45 0.17 1.08 0.00
6 0.51 0.24 2.76 4.24* 0.32 1.92 0.00
7 2.81* 1.68 1.10 1.26 0.85 2.31 0.00
8 1.59 1.75* 0.46 1.35 0.59 4.26 0.00
9 0.09 8.34* 0.07 0.13 0.80 0.58 0.00
10 3.25* 0.40 1.32 0.13 2.66 2.25 0.00
11 0.36 0.52 3.36* 0.47 0.28 5.01 0.00
12 0.34 0.32 0.28 0.40 5.40* 3.26 0.00
13 0.73 0.16 2.00 1.04 3.31* 2.75 0.01
14 0.24 0.13 0.21 1.39* 0.09 7.94 0.00
15 0.73 0.36 1.93* 0.28 0.35 6.36 0.00
16 1.83 0.48 1.85 0.92 2.06* 2.85 0.00
17 2.35 1.45 1.27 3.17* 0.13 1.64 0.00
18 0.97 0.41 0.85 0.42 1.26* 6.09 0.00
19 0.39* 0.59 0.28 0.27 0.26 8.21 0.00
20 0.49 0.34 0.31 0.68 1.16* 7.02 0.00
21 0.65 0.28 1.26* 2.03 0.58 5.19 0.01
22 0.30 0.66 1.88 1.31* 0.15 5.70 0.00
23 0.21 0.72 0.27 0.36* 0.23 8.21 0.00
24 0.15 1.75* 0.65 0.18 0.28 6.99 0.00
25 0.21 2.52* 0.19 1.66 0.36 5.06 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 Massachusetts
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 10 7
149.0 124.0 7 1 99.0 2
148.5 123.5 98.5 12 8
148.0 123.0 7 1 98.0 2 1
147.5 122.5 1 97.5 4 2
147.0 122.0 5 1 97.0 10 3
146.5 121.5 96.5
146.0 121.0 96.0 23 5
145.5 120.5 6 95.5 1
145.0 120.0 1 95.0 22 11
144.5 119.5 10 3 94.5 6 4
144.0 119.0 94.0 2 4
143.5 118.5 7 2 93.5 9 6
143.0 118.0 3 93.0
142.5 117.5 92.5 10 11
142.0 117.0 3 1 92.0 3
141.5 116.5 91.5 6 9
141.0 116.0 7 2 91.0 1 3
140.5 115.5 1 90.5 4
140.0 115.0 7 2 90.0 9 7
139.5 1 114.5 2 1 89.5
139.0 114.0 89.0 19 16
138.5 113.5 7 2 88.5 4 2
138.0 113.0 88.0 3 6
137.5 112.5 10 1 87.5 7 9
137.0 1 112.0 1 87.0 2 4
136.5 111.5 17 4 86.5 10 15
136.0 5 111.0 5 86.0 4 1
135.5 110.5 85.5 8 7
135.0 110.0 3 3 85.0 6 3
134.5 109.5 84.5 2 6
134.0 109.0 10 3 84.0 5 5
133.5 2 108.5 1 83.5 1 3
133.0 108.0 21 4 83.0 9 10
132.5 2 2 107.5 2 1 82.5 1 2
132.0 2 107.0 82.0 3 7
131.5 106.5 3 81.5 4 4
131.0 1 106.0 81.0 4
130.5 105.5 17 5 80.5 4 5
130.0 1 1 105.0 1 1 80.0 3 3
129.5 104.5 13 3 79.5 5 7
129.0 5 104.0 3 1 79.0 3 5
128.5 103.5 1 78.5 1 6
128.0 103.0 9 3 78.0 8 9
127.5 102.5 77.5 3 3
127.0 102.0 20 12 77.0 7 8
126.5 6 101.5 1 2 76.5 1 3
126.0 101.0 21 8 76.0 4 3
125.5 2 1 100.5 2 3 75.5 7 1
American Mathematics Competitions
2006 AMC 12 B Results for Massachusetts
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 4 50.0 1 1 25.0
74.5 4 2 49.5 24.5
74.0 2 4 49.0 24.0 1
73.5 3 4 48.5 1 1 23.5
73.0 2 48.0 2 23.0
72.5 1 1 47.5 1 22.5
72.0 3 4 47.0 22.0
71.5 3 46.5 21.5
71.0 2 4 46.0 21.0
70.5 4 5 45.5 20.5
70.0 4 3 45.0 20.0
69.5 1 4 44.5 19.5
69.0 1 1 44.0 19.0
68.5 1 7 43.5 18.5
68.0 1 2 43.0 18.0
67.5 1 1 42.5 17.5
67.0 3 42.0 2 17.0
66.5 1 3 41.5 16.5
66.0 1 6 41.0 16.0
65.5 1 1 40.5 15.5
65.0 2 2 40.0 15.0
64.5 39.5 14.5
64.0 1 39.0 1 14.0
63.5 2 38.5 13.5
63.0 3 38.0 1 13.0
62.5 1 37.5 12.5
62.0 2 1 37.0 12.0
61.5 2 36.5 11.5
61.0 1 2 36.0 1 11.0
60.5 1 1 35.5 10.5
60.0 1 3 35.0 10.0
59.5 1 34.5 9.5
59.0 1 1 34.0 9.0
58.5 2 33.5 8.5
58.0 3 33.0 8.0
57.5 2 2 32.5 7.5
57.0 1 32.0 7.0
56.5 1 31.5 6.5
56.0 2 3 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 5.0
54.5 2 29.5 4.5
54.0 3 29.0 4.0
53.5 1 1 28.5 3.5
53.0 1 1 28.0 3.0
52.5 1 27.5 2.5
52.0 27.0 2.0
51.5 2 26.5 1.5
51.0 1 26.0 1.0
50.5 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Massachusetts
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
139.5 1
137.0 1
136.0 1 3 1
133.5 1 1
132.5 1 1 2
132.0 1 1
131.0 1
130.0 1 1
129.0 1 1 2 1
126.5 1 3 2
125.5 1 2 1
125.0 1
124.0 1 1 3 3
123.0 1 4 3
122.5 1
122.0 1 5 1
120.5 3 3
120.0 1
119.5 1 3 5 5
118.5 2 4 3
118.0 1 1 1
117.0 1 1 2
116.0 4 5
115.5 1 1
115.0 1 2 4 2
114.5 2 1
113.5 1 4 4
112.5 7 5
112.0 1 1
111.5 1 1 11 8
111.0 1 5
110.0 1 3 2
109.0 1 1 5 7
108.5 1
108.0 2 1 12 10
107.5 1 1 1
106.5 1 2 2
105.5 1 16 8
105.0 2
104.5 3 7 7
104.0 1 2 1
103.5 1
103.0 1 1 8 5
102.0 1 1 18 13 2
101.5 2 1
101.0 2 3 17 7
100.5 2 2 1
99.5 10 7
99.0 1 1
98.5 1 1 12 6
98.0 1 2
97.5 3 3 1
97.0 10 3 1
96.0 1 16 11
95.5 1
95.0 2 3 15 14
94.5 2 7 1
94.0 2 5
93.5 1 6 8
92.5 1 2 13 7
92.0 2 1
91.5 10 5
91.0 1 3 1
90.5 1 3
90.0 1 7 9 1
89.0 1 20 14 1
88.5 5 2
88.0 1 3 5
87.5 10 6
87.0 4 2
86.5 1 1 9 16 1
86.0 1 2 2
85.5 1 6 8
85.0 5 4
84.5 7 2
84.0 8 3
83.5 3 1
83.0 12 9
82.5 1 2 1
82.0 2 8
81.5 5 3
81.0 2 2
80.5 7 2
80.0 4 2
79.5 5 8 2
79.0 5 3
78.5 8
78.0 12 6 1
77.5 4 2
77.0 7 10
76.5 3 1
76.0 5 3
75.5 1 4 4
75.0 4 1
74.5 2 4 1
74.0 6
73.5 4 4
73.0 2
72.5 1 1
72.0 2 4 2
71.5 1 2
71.0 6
70.5 5 4
70.0 1 5 1
69.5 4 3
69.0 1 1
68.5 4 2 2
68.0 1 2
67.5 2
67.0 2 1
66.5 2 2
66.0 3 4
65.5 2
65.0 3 1
64.0 1
63.5 1 1
63.0 1 2
62.5 1
62.0 3
61.5 1 1 1
61.0 3
60.5 1 1
60.0 3 1
59.5 1
59.0 2
58.5 2
58.0 2 1
57.5 2 2
57.0 1
56.5 1
56.0 4 1
55.0 1
54.5 2
54.0 1 1 1
53.5 2
53.0 2
52.5 1
51.5 2
51.0 1
50.5 1 1
50.0 1 1
48.5 1 1
48.0 1 1
47.5 1
42.0 1 1
39.0 1
38.0 1
36.0 1
24.0 1
American Mathematics Competitions
2006 AMC 12 B Results for Massachusetts
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 0.28 0.24 8.53* 0.61 0.26 0.07 0.00
2 8.86* 0.21 0.02 0.04 0.28 0.59 0.00
3 9.05* 0.15 0.01 0.44 0.29 0.07 0.00
4 9.43* 0.26 0.06 0.17 0.03 0.06 0.00
5 7.98* 0.53 0.22 0.16 0.11 0.99 0.00
6 0.07 9.31* 0.10 0.04 0.27 0.21 0.00
7 0.19 9.06* 0.23 0.26 0.07 0.19 0.00
8 0.07 0.27 0.26 0.28 7.86* 1.25 0.01
9 0.39 5.49* 0.30 0.71 0.37 2.74 0.00
10 4.82* 0.56 1.03 0.08 1.93 1.58 0.00
11 0.64 0.10 0.93 0.90 5.45* 1.98 0.00
12 0.71 0.60 0.36 1.91* 0.47 5.94 0.02
13 0.47 0.45 3.64* 0.21 0.37 4.84 0.01
14 0.18 0.43 1.52 3.23* 0.09 4.54 0.00
15 0.25 3.31* 0.71 0.24 0.18 5.31 0.00
16 0.21 0.20 2.16* 0.14 0.16 7.13 0.00
17 0.56 0.12 2.12* 1.13 0.27 5.79 0.00
18 0.41 1.23* 1.32 0.33 0.13 6.57 0.01
19 0.17 2.64* 0.08 1.36 0.36 5.38 0.00
20 0.14 0.36 0.36* 0.10 0.73 8.31 0.00
21 0.11 0.13 0.26* 0.06 0.10 9.34 0.00
22 0.07 0.49* 0.28 0.12 0.04 9.01 0.00
23 0.23 0.12 0.34 0.19 0.07* 9.06 0.00
24 0.16 0.13 0.15* 0.15 0.11 9.30 0.00
25 0.08 0.23* 0.16 0.21 0.05 9.26 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column