American Mathematics Competitions
2006 AMC 10 A Results for Pennsylvania
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2624
Number of unofficial participants: 0
Average score of participants: 77.6
Average score for female students is: 74.6 ( 1077 Students)
Average score for male students is: 80.3 ( 1397 Students)
Average score for unspecified gender is 74.8 ( 150 Students)
Average score for grade 10 is: 79.7 ( 1402 Students)
Average score for grade 9 is: 74.7 ( 1127 Students)
Average score for grade 8 and below is: 83.8 ( 56 Students)
Average score with unknown grade: 76.7 ( 39 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 28
Number of schools returning results 102
Average school winning score 106.28
American Mathematics Competitions
2006 AMC 12 A Results for Pennsylvania
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4808
Number of unofficial participants: 0
Average score of participants: 85.3
Average score for female students is: 81.6 ( 1830 Students)
Average score for male students is: 87.9 ( 2770 Students)
Average score for unspecified gender is 83.7 ( 208 Students)
Average score for grade 13 is: 89.4 ( 4 Students)
Average score for grade 12 is: 88.2 ( 1921 Students)
Average score for grade 11 is: 84.4 ( 2054 Students)
Average score for grade 10 is: 81.2 ( 610 Students)
Average score for grade 9 is: 80.6 ( 154 Students)
Average score for grade 8 and below is: 112.8 ( 2 Students)
Average score with unknown grade: 79.3 ( 63 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 921
Number of schools returning results 131
Average school winning score 112.51
Average school team score 313.48
American Mathematics Competitions
2006 AMC 10 B Results for Pennsylvania
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1431
Number of unofficial participants: 0
Average score of participants: 67.0
Average score for female students is: 62.4 ( 578 Students)
Average score for male students is: 70.7 ( 755 Students)
Average score for unspecified gender is 64.8 ( 98 Students)
Average score for grade 10 is: 68.8 ( 852 Students)
Average score for grade 9 is: 63.7 ( 533 Students)
Average score for grade 8 and below is: 91.3 ( 13 Students)
Average score with unknown grade: 62.2 ( 33 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 12
Number of schools returning results 64
Average school winning score 100.48
American Mathematics Competitions
2006 AMC 12 B Results for Pennsylvania
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1890
Number of unofficial participants: 0
Average score of participants: 85.8
Average score for female students is: 81.5 ( 794 Students)
Average score for male students is: 89.4 ( 1021 Students)
Average score for unspecified gender is 82.7 ( 75 Students)
Average score for grade 13 is: 86.5 ( 1 Student)
Average score for grade 12 is: 87.5 ( 876 Students)
Average score for grade 11 is: 83.7 ( 891 Students)
Average score for grade 10 is: 87.9 ( 92 Students)
Average score for grade 9 is: 96.4 ( 11 Students)
Average score for grade 8 and below is: 126.5 ( 1 Student)
Average score with unknown grade: 83.5 ( 18 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 346
Number of schools returning results 78
Average school winning score 110.48
Average school team score 306.40
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
383.0 1 1
381.0 1 2
378.0 1 3
370.5 1 4
370.0 1 5
369.0 1 6
367.5 1 7
366.0 1 8
365.5 1 9
364.5 1 10
363.5 1 11
360.0 2 1 12
359.5 1 15
359.0 1 16
358.5 1 1 17
356.5 1 19
356.0 1 20
355.5 1 21
354.0 1 22
353.0 2 23
349.5 5 25
348.0 2 30
347.0 2 1 32
346.0 5 35
345.5 1 40
345.0 1 41
344.5 2 1 42
343.5 4 1 45
342.5 3 50
342.0 3 53
341.5 1 56
341.0 4 2 57
339.0 1 63
338.5 1 1 64
337.5 1 66
336.5 1 1 67
335.5 3 69
335.0 2 72
334.0 1 1 74
332.5 1 76
332.0 1 77
331.5 1 78
331.0 1 1 79
330.5 2 1 81
330.0 1 84
329.5 1 85
328.0 2 2 86
327.0 2 2 90
326.5 2 94
326.0 1 96
325.5 1 97
325.0 1 1 98
323.5 1 100
322.5 1 1 101
321.0 1 103
320.5 1 104
320.0 2 2 105
319.5 2 109
319.0 1 111
318.5 1 112
317.0 1 113
316.0 1 114
315.5 1 115
315.0 1 116
314.5 1 117
314.0 1 118
313.5 1 119
312.0 2 120
311.0 2 122
310.5 2 124
309.5 2 2 126
309.0 1 130
308.5 1 131
308.0 1 132
307.5 1 133
306.0 1 3 134
305.0 1 1 138
304.5 1 140
303.5 2 141
302.5 2 2 143
301.0 1 147
300.0 1 1 148
299.5 1 150
299.0 1 151
298.0 1 1 152
297.5 1 154
297.0 2 155
295.5 1 157
295.0 2 158
294.0 1 160
293.5 2 161
291.5 1 163
291.0 1 164
290.5 1 165
290.0 1 166
289.0 1 167
288.5 1 1 168
287.0 2 1 170
286.5 2 173
286.0 1 175
285.5 2 176
283.5 1 178
282.5 1 179
281.5 1 180
281.0 1 181
276.0 2 182
275.5 1 184
273.0 1 185
271.5 1 186
270.5 1 1 187
269.0 1 189
268.0 1 190
265.0 1 191
260.5 1 192
258.5 1 193
241.5 1 194
240.0 1 195
239.5 1 196
236.0 1 197
232.0 1 198
228.0 1 199
178.0 1 200
176.0 1 201
160.5 1 202
138.0 1 203
134.5 1 204
133.5 1 205
123.0 1 206
113.0 1 207
111.0 1 208
105.5 1 209
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 1
144.0 3
143.0 1
138.0 2 1
136.0 1 1
133.5 2
132.0 3 2
131.0 2
130.0 2
129.0 2 2 1
128.5 1
127.5 1 2 2
126.5 1 2 4
125.5 2 1 1
125.0 1
124.0 2 3 2 1
123.0 1 3 1 1
122.0 13 6 2
121.5 2 2
120.5 3 1 3 2
120.0 1
119.5 11 5 4 1
119.0 1
118.5 42 7 1
118.0 2
117.0 1 2 2 3
116.5 1 2
116.0 25 6 6 4
115.5 1 4 2
115.0 33 8 3
114.5 3 2 8 3
114.0 1
113.5 15 4 6 3
113.0 1 2 1
112.5 79 6 4 4
112.0 1 1
111.5 25 16 1
111.0 7 1 5 1
110.0 42 4 10 4
109.5 6 1
109.0 53 20 5 2
108.5 2 8
108.0 27 31 2
107.5 11 5 14 2
107.0 1
106.5 85 11 9 1
106.0 1 2 2
105.5 58 31 2 2
105.0 2 4 11 3
104.5 28 32 4 1
104.0 40 4 18 5
103.5 2
103.0 77 17 9 1
102.5 1 11 1
102.0 73 39 8 2
101.5 29 2 20 2
101.0 34 48 2 1
100.5 83 13 18 3
100.0 1 1 3 1
99.5 76 26 13 6
99.0 16 3 16 3
98.5 58 43 5 3
98.0 47 5 32 9
97.5 8 13 5 1
97.0 75 17 19 3
96.5 3 1 7 1
96.0 104 57 21 9
95.5 26 3 19 3
95.0 74 88 9 7
94.5 80 15 18 5
94.0 8 10 8
93.5 107 29 22 4
93.0 11 1 10 3
92.5 83 62 16 7
92.0 62 12 22 7
91.5 18 26 18 5
91.0 104 21 36 10
90.5 10 9 13 3
90.0 92 39 30 3
89.5 30 2 15 4
89.0 100 79 17 4
88.5 80 11 34 9
88.0 23 17 22 8
87.5 99 18 34 9
87.0 17 9 14 6
86.5 59 52 37 15
86.0 42 8 29 14
85.5 26 32 17 6
85.0 78 14 36 5
84.5 20 14 11 5
84.0 97 25 49 16
83.5 20 8 29 3
83.0 108 50 35 14
82.5 61 11 20 12
82.0 24 25 28 12
81.5 68 21 47 17
81.0 17 8 27 8
80.5 73 32 39 14
80.0 50 7 32 9
79.5 48 25 26 12
79.0 65 16 24 9
78.5 28 13 31 11
78.0 77 24 50 18
77.5 21 11 19 8
77.0 102 36 38 12
76.5 62 7 37 10
76.0 27 16 37 7
75.5 52 16 43 14
75.0 26 12 17 11
74.5 55 25 49 16
74.0 29 10 26 14
73.5 27 14 29 20
73.0 45 9 38 13
72.5 32 19 16 14
72.0 83 16 42 20
71.5 22 9 37 14
71.0 68 28 38 11
70.5 26 9 21 8
70.0 25 12 20 13
69.5 33 8 28 15
69.0 18 5 19 10
68.5 51 23 29 19
68.0 22 6 28 19
67.5 28 10 30 11
67.0 34 12 30 8
66.5 28 8 26 14
66.0 38 15 27 29
65.5 18 8 27 12
65.0 28 11 22 9
64.5 27 7 17 12
64.0 16 12 25 13
63.5 33 9 24 19
63.0 16 2 24 11
62.5 28 9 20 15
62.0 19 7 25 17
61.5 18 9 19 16
61.0 15 7 19 21
60.5 10 5 9 12
60.0 29 7 22 31
59.5 16 3 22 10
59.0 23 5 18 17
58.5 17 7 27 16
58.0 10 5 11 11
57.5 8 4 16 12
57.0 17 3 17 15
56.5 14 5 9 15
56.0 9 1 10 16
55.5 6 1 15 20
55.0 10 3 15 12
54.5 11 1 6 5
54.0 16 11 16 20
53.5 7 2 10 6
53.0 7 6 17 9
52.5 8 1 7 11
52.0 4 6 11
51.5 9 1 10 13
51.0 4 2 10 8
50.5 6 4 6 13
50.0 2 8 6
49.5 4 2 3 6
49.0 6 5 8
48.5 2 1 7 9
48.0 17 6 8 24
47.5 3 5 3
47.0 4 3 6 9
46.5 3 1 6 9
46.0 1 3 6 8
45.5 3 2 9
45.0 2 5 2 5
44.5 2 2 8
44.0 5 1 4
43.5 2 2 4
43.0 3 2 6
42.5 3 1 7 5
42.0 14 4 7 16
41.5 3 1 1 5
41.0 1 3 7
40.5 2 5
40.0 1 5
39.5 1 2
39.0 2 1 5
38.5 1 2 2 5
38.0 1 1 6
37.5 1 1 4
37.0 1 3
36.5 1 1 1 9
36.0 2 5 9 12
35.5 1 1 6
35.0 2 2
34.5 2
34.0 1 2 2
33.5 1 1
33.0 1 4
32.5 3
32.0 1 1
31.5 2 2
30.5 1 1 2
30.0 1 1 4 6
29.5 3
29.0 1 2 1
27.0 1 1
26.5 1 1
26.0 2
25.5 1
24.5 1 2
24.0 3 2 3 8
23.0 1
22.0 1
21.0 1
20.5 1
18.5 1
18.0 2 1 6
17.0 2
12.0 2
6.0 1 1
American Mathematics Competitions
2006 AMC 10 A Results for Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 1 100.0 2
149.5 124.5 99.5 9 4
149.0 124.0 2 99.0 13 3
148.5 123.5 98.5 2 3
148.0 123.0 1 98.0 18 13
147.5 122.5 97.5 3 2
147.0 122.0 1 1 97.0 8 9
146.5 121.5 2 96.5 7
146.0 121.0 96.0 10 8
145.5 120.5 3 95.5 12 6
145.0 120.0 95.0 6 3
144.5 119.5 3 1 94.5 11 7
144.0 3 119.0 1 94.0 6 2
143.5 118.5 93.5 11 10
143.0 1 118.0 2 93.0 7 3
142.5 117.5 92.5 10 6
142.0 117.0 2 92.0 15 4
141.5 116.5 2 91.5 11 7
141.0 116.0 5 1 91.0 23 13
140.5 115.5 3 90.5 10 3
140.0 115.0 3 90.0 21 8
139.5 114.5 7 1 89.5 8 7
139.0 114.0 89.0 11 6
138.5 113.5 6 88.5 16 15
138.0 113.0 1 88.0 14 8
137.5 112.5 3 1 87.5 23 11
137.0 112.0 1 87.0 9 4
136.5 111.5 86.5 18 15
136.0 111.0 5 86.0 16 11
135.5 110.5 85.5 6 11
135.0 110.0 5 5 85.0 21 13
134.5 109.5 5 1 84.5 4 7
134.0 109.0 5 84.0 19 26
133.5 108.5 7 83.5 17 9
133.0 108.0 83.0 14 20
132.5 107.5 8 5 82.5 9 9
132.0 2 107.0 1 82.0 13 13
131.5 106.5 6 3 81.5 32 14
131.0 2 106.0 2 81.0 13 12
130.5 105.5 1 1 80.5 19 16
130.0 105.0 10 1 80.0 17 13
129.5 104.5 3 1 79.5 10 14
129.0 1 1 104.0 14 3 79.0 10 13
128.5 103.5 1 1 78.5 14 15
128.0 103.0 7 2 78.0 30 20
127.5 2 102.5 10 1 77.5 11 7
127.0 102.0 6 2 77.0 18 18
126.5 4 101.5 15 4 76.5 23 11
126.0 101.0 1 1 76.0 19 15
125.5 100.5 10 6 75.5 21 15
American Mathematics Competitions
2006 AMC 10 A Results for Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 9 8 50.0 2 6 25.0
74.5 20 24 49.5 2 1 24.5 1
74.0 11 14 49.0 3 2 24.0 3
73.5 13 16 48.5 4 2 23.5
73.0 15 22 48.0 5 2 23.0
72.5 5 11 47.5 2 3 22.5
72.0 22 16 47.0 5 1 22.0
71.5 21 12 46.5 1 5 21.5
71.0 12 19 46.0 3 1 21.0
70.5 10 8 45.5 1 1 20.5
70.0 9 10 45.0 2 20.0
69.5 11 14 44.5 2 19.5
69.0 14 4 44.0 1 19.0
68.5 12 14 43.5 2 18.5
68.0 19 8 43.0 2 18.0 1
67.5 15 11 42.5 1 6 17.5
67.0 16 13 42.0 3 3 17.0
66.5 14 11 41.5 1 16.5
66.0 9 17 41.0 2 1 16.0
65.5 13 14 40.5 15.5
65.0 11 11 40.0 15.0
64.5 5 12 39.5 14.5
64.0 11 13 39.0 14.0
63.5 9 14 38.5 2 13.5
63.0 11 13 38.0 1 13.0
62.5 11 8 37.5 12.5
62.0 10 13 37.0 12.0
61.5 11 7 36.5 11.5
61.0 7 11 36.0 7 2 11.0
60.5 2 7 35.5 1 10.5
60.0 12 8 35.0 10.0
59.5 12 6 34.5 9.5
59.0 7 11 34.0 2 9.0
58.5 15 11 33.5 1 8.5
58.0 6 5 33.0 1 8.0
57.5 6 9 32.5 7.5
57.0 7 8 32.0 1 7.0
56.5 4 4 31.5 6.5
56.0 5 4 31.0 6.0 1
55.5 4 11 30.5 5.5
55.0 10 4 30.0 4 5.0
54.5 1 3 29.5 4.5
54.0 9 7 29.0 1 1 4.0
53.5 4 5 28.5 3.5
53.0 11 5 28.0 3.0
52.5 2 5 27.5 2.5
52.0 5 1 27.0 1 2.0
51.5 6 4 26.5 1.5
51.0 2 5 26.0 1.0
50.5 4 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Pennsylvania
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
144.0 1 1 1
143.0 1
132.0 2
131.0 1 1
129.0 1 1
127.5 1 1
126.5 4
125.0 1
124.0 1 1
123.0 1
122.0 2
121.5 2
120.5 3
119.5 1 3
119.0 1
118.0 1 1
117.0 2
116.5 1 1
116.0 1 5
115.5 1 3
115.0 1 2
114.5 8
113.5 1 5
113.0 1 1
112.5 2 2
112.0 1
111.0 2 3
110.0 4 6
109.5 1 5
109.0 2 3
108.5 1 7
107.5 4 9 1
107.0 1
106.5 1 6 2
106.0 1 1
105.5 2
105.0 4 7
104.5 1 3
104.0 7 11
103.5 1 1
103.0 4 5
102.5 1 10
102.0 4 4
101.5 1 4 15
101.0 1 1
100.5 5 13
100.0 2 1
99.5 4 9
99.0 5 11
98.5 1 4
98.0 1 9 21 1
97.5 2 3
97.0 6 13
96.5 4 3
96.0 7 12 2
95.5 5 13 1
95.0 4 5
94.5 1 6 11
94.0 3 4 1
93.5 8 14
93.0 4 6
92.5 1 8 7
92.0 1 9 11 1
91.5 1 7 10
91.0 7 29
90.5 4 9
90.0 1 1 13 15
89.5 1 6 8
89.0 11 5 1
88.5 11 21 2
88.0 2 10 10
87.5 1 13 19 1
87.0 4 10
86.5 1 14 22
86.0 1 11 17
85.5 2 3 12
85.0 14 22
84.5 7 4
84.0 2 19 27 1
83.5 11 18
83.0 19 16
82.5 1 1 6 12
82.0 1 13 14
81.5 1 21 25
81.0 1 12 14
80.5 13 25 1
80.0 11 19 2
79.5 2 13 10 1
79.0 14 10
78.5 1 13 17
78.0 1 26 23
77.5 2 16 1
77.0 1 16 21
76.5 2 23 12
76.0 1 16 18 2
75.5 18 23 2
75.0 12 5
74.5 1 15 33
74.0 7 19
73.5 1 16 12
73.0 15 23
72.5 4 12
72.0 18 21 3
71.5 17 17 3
71.0 1 18 19
70.5 11 10
70.0 12 8
69.5 1 12 15
69.0 11 8
68.5 1 10 16 2
68.0 14 14
67.5 18 12
67.0 1 16 13
66.5 1 10 15
66.0 11 15 1
65.5 1 16 10
65.0 1 13 8
64.5 1 7 9
64.0 1 14 10
63.5 12 12
63.0 11 13
62.5 9 10 1
62.0 13 11 1
61.5 1 10 8
61.0 1 11 6 1
60.5 3 6
60.0 12 9 1
59.5 11 11
59.0 6 12
58.5 11 16
58.0 1 4 6
57.5 8 7 1
57.0 1 7 9
56.5 9
56.0 5 5
55.5 10 5
55.0 8 7
54.5 3 2 1
54.0 1 9 6
53.5 6 4
53.0 8 9
52.5 3 4
52.0 4 2
51.5 10
51.0 7 3
50.5 4 2
50.0 5 3
49.5 3
49.0 3 2
48.5 1 2 4
48.0 5 2 1
47.5 4 1
47.0 4 2
46.5 3 3
46.0 2 4
45.5 1 1
45.0 2
44.5 2
44.0 1
43.5 2
43.0 1 1
42.5 6 1
42.0 6 1
41.5 1
41.0 2 1
39.0 1
38.5 2
38.0 1
36.5 1
36.0 3 5 1
35.5 1
34.0 2
33.5 1
33.0 1
32.0 1
30.0 3 1
29.0 2
27.0 1
24.5 1
24.0 3
18.0 1
6.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Pennsylvania
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* 0.02 0.02 0.02 0.00 0.02 0.00
2 1.01 0.17 2.60* 0.18 2.32 3.72 0.00
3 0.06 8.26* 0.12 0.06 1.36 0.13 0.00
4 2.16 0.16 0.06 0.13 6.98* 0.51 0.00
5 0.17 1.09 1.06 7.21* 0.18 0.29 0.00
6 0.13 8.23* 0.29 0.11 0.05 1.20 0.00
7 7.36* 0.11 0.39 0.26 0.33 1.55 0.01
8 1.14 0.45 0.40 0.20 2.18* 5.63 0.00
9 1.53 1.41 5.61* 0.26 0.22 0.95 0.00
10 0.31 0.27 0.80 2.69 0.93* 4.99 0.00
11 1.89 1.28 1.41* 0.75 0.84 3.83 0.00
12 0.87 0.38 4.49* 0.94 0.31 3.01 0.00
13 0.36 1.16 0.27 5.17* 0.11 2.92 0.00
14 1.82 3.88* 0.27 1.12 0.67 2.24 0.00
15 0.83 0.35 0.34 1.44* 0.64 6.39 0.00
16 0.30 0.22 0.35 0.34* 0.59 8.20 0.00
17 1.94* 0.44 0.24 0.42 0.25 6.71 0.00
18 2.20 0.17 2.72* 0.37 0.19 4.34 0.00
19 0.51 1.60 0.69* 0.33 0.24 6.63 0.00
20 0.40 1.26 0.38 0.38 0.59* 7.00 0.00
21 0.79 0.79 0.45 0.60 0.99* 6.38 0.00
22 0.17 0.82 3.25* 3.87 0.79 1.10 0.00
23 0.56 1.24* 0.21 0.31 0.60 7.09 0.00
24 0.88 0.32* 0.30 0.17 0.33 8.00 0.00
25 2.24 0.80 0.54* 0.43 0.33 5.66 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 Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 1
149.5 124.5 99.5 45 25
149.0 124.0 2 99.0 10 4
148.5 123.5 98.5 35 18
148.0 123.0 1 98.0 28 17
147.5 122.5 97.5 6 2
147.0 122.0 6 5 97.0 52 22
146.5 121.5 96.5 3
146.0 121.0 96.0 74 30
145.5 120.5 3 95.5 17 8
145.0 120.0 1 95.0 52 19
144.5 119.5 10 1 94.5 56 20
144.0 119.0 94.0 5 3
143.5 118.5 37 5 93.5 73 31
143.0 118.0 93.0 7 2
142.5 117.5 92.5 42 39
142.0 117.0 1 92.0 39 22
141.5 116.5 1 91.5 9 9
141.0 116.0 21 4 91.0 65 34
140.5 115.5 1 90.5 5 5
140.0 115.0 24 8 90.0 51 36
139.5 114.5 2 89.5 21 9
139.0 114.0 89.0 59 37
138.5 113.5 8 6 88.5 51 27
138.0 1 1 113.0 1 88.0 11 11
137.5 112.5 63 11 87.5 62 35
137.0 112.0 87.0 6 11
136.5 111.5 18 7 86.5 32 23
136.0 1 111.0 3 3 86.0 27 15
135.5 110.5 85.5 7 18
135.0 110.0 32 8 85.0 46 28
134.5 109.5 84.5 8 12
134.0 109.0 34 16 84.0 57 34
133.5 108.5 1 83.5 14 5
133.0 108.0 19 6 83.0 62 44
132.5 107.5 8 3 82.5 35 22
132.0 3 107.0 82.0 10 12
131.5 106.5 56 24 81.5 36 31
131.0 106.0 1 81.0 8 8
130.5 105.5 38 19 80.5 40 29
130.0 105.0 2 80.0 26 22
129.5 104.5 18 10 79.5 15 30
129.0 2 104.0 30 9 79.0 35 28
128.5 103.5 78.5 12 14
128.0 103.0 58 17 78.0 39 32
127.5 102.5 77.5 8 12
127.0 102.0 45 25 77.0 57 41
126.5 1 101.5 22 5 76.5 35 25
126.0 101.0 20 11 76.0 10 17
125.5 2 100.5 62 18 75.5 26 22
American Mathematics Competitions
2006 AMC 12 A Results for Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 13 11 50.0 1 1 25.0
74.5 29 23 49.5 2 2 24.5
74.0 14 14 49.0 2 4 24.0 3
73.5 13 13 48.5 1 1 23.5
73.0 20 21 48.0 5 11 23.0
72.5 15 17 47.5 2 1 22.5
72.0 43 38 47.0 1 2 22.0
71.5 10 12 46.5 3 21.5
71.0 35 29 46.0 1 21.0
70.5 8 17 45.5 1 2 20.5
70.0 6 17 45.0 2 20.0
69.5 14 19 44.5 2 19.5
69.0 7 9 44.0 1 4 19.0
68.5 24 25 43.5 2 18.5
68.0 11 9 43.0 2 1 18.0 1
67.5 10 16 42.5 1 1 17.5
67.0 21 13 42.0 9 4 17.0
66.5 16 12 41.5 2 1 16.5
66.0 18 18 41.0 16.0
65.5 10 7 40.5 1 1 15.5
65.0 17 9 40.0 1 15.0
64.5 13 13 39.5 14.5
64.0 3 13 39.0 2 14.0
63.5 16 14 38.5 1 13.5
63.0 7 8 38.0 1 13.0
62.5 8 15 37.5 1 12.5
62.0 9 8 37.0 12.0
61.5 8 9 36.5 1 11.5
61.0 12 2 36.0 2 11.0
60.5 4 6 35.5 10.5
60.0 11 17 35.0 10.0
59.5 10 6 34.5 9.5
59.0 10 12 34.0 1 9.0
58.5 8 8 33.5 8.5
58.0 5 5 33.0 8.0
57.5 4 4 32.5 7.5
57.0 7 9 32.0 7.0
56.5 5 8 31.5 1 6.5
56.0 4 5 31.0 6.0
55.5 1 5 30.5 1 5.5
55.0 3 5 30.0 1 5.0
54.5 5 6 29.5 4.5
54.0 7 9 29.0 4.0
53.5 4 2 28.5 3.5
53.0 2 5 28.0 3.0
52.5 4 4 27.5 2.5
52.0 2 2 27.0 2.0
51.5 4 5 26.5 1 1.5
51.0 3 1 26.0 1.0
50.5 4 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Pennsylvania
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
138.0 2
136.0 1
132.0 1 2
129.0 1 1
126.5 1
125.5 2
124.0 2
123.0 1
122.0 1 5 6 1
120.5 3
120.0 1
119.5 1 1 3 6
118.5 2 12 28
117.0 1
116.5 1
116.0 1 1 13 10
115.5 1
115.0 3 12 17 1
114.5 1 1 1
113.5 1 1 5 8
113.0 1
112.5 1 6 21 51
111.5 1 9 15
111.0 3 4
110.0 1 15 26
109.0 1 2 4 18 28
108.5 1 1
108.0 3 14 10
107.5 1 4 5 1
106.5 2 7 28 47 1
106.0 1
105.5 6 32 20
105.0 1 1
104.5 2 11 15
104.0 4 21 15
103.0 6 31 40
102.0 2 2 38 30 1
101.5 1 2 16 10
101.0 12 22
100.5 3 5 36 39
100.0 1
99.5 9 30 35 2
99.0 1 8 6 1
98.5 1 2 24 28 3
98.0 4 20 23
97.5 2 3 3
97.0 2 5 35 33
96.5 1 2
96.0 1 16 45 42
95.5 2 3 10 11
95.0 1 11 37 25
94.5 3 4 38 34 1
94.0 6 2
93.5 4 12 44 47
93.0 7 4
92.5 4 8 34 36 1
92.0 6 26 29 1
91.5 3 2 2 11
91.0 2 9 47 45 1
90.5 1 6 3
90.0 2 15 32 42 1
89.5 6 13 11
89.0 5 10 50 33 2
88.5 2 4 37 36 1
88.0 2 2 10 8 1
87.5 1 14 43 40 1
87.0 1 1 9 6
86.5 1 11 24 22 1
86.0 1 5 19 17
85.5 1 5 8 12
85.0 4 9 33 31 1
84.5 2 4 8 6
84.0 3 15 37 40 2
83.5 2 12 5 1
83.0 5 11 44 47 1
82.5 2 7 28 24
82.0 6 10 6 2
81.5 3 9 26 29 1
81.0 6 8 3
80.5 2 18 24 27 2
80.0 5 23 21 1
79.5 3 7 20 16 2
79.0 3 9 32 21
78.5 1 10 12 5
78.0 2 11 31 31 2
77.5 4 10 7
77.0 4 18 44 35 1
76.5 1 10 26 25
76.0 2 3 10 11 1
75.5 3 9 19 20 1
75.0 4 10 11 1
74.5 6 9 24 15 1
74.0 10 18 1
73.5 1 3 16 6 1
73.0 3 6 22 14
72.5 1 6 15 10
72.0 2 22 36 22 1
71.5 2 4 10 6
71.0 5 12 27 20 4
70.5 1 7 8 10
70.0 2 5 9 9
69.5 1 5 11 14 2
69.0 5 5 8
68.5 4 10 22 15
68.0 2 3 8 7 2
67.5 3 6 8 11
67.0 8 19 7
66.5 3 2 13 9 1
66.0 5 22 11
65.5 1 1 9 6 1
65.0 1 5 8 13 1
64.5 6 14 7
64.0 4 5 7
63.5 3 1 18 11
63.0 2 6 8
62.5 1 4 9 11 3
62.0 2 4 7 4 2
61.5 1 2 4 11
61.0 3 2 5 3 2
60.5 4 6
60.0 4 13 12
59.5 1 3 9 3
59.0 3 13 7
58.5 3 3 6 4 1
58.0 3 7
57.5 1 4 3
57.0 4 8 4 1
56.5 1 3 6 4
56.0 1 6 2
55.5 2 4
55.0 6 4
54.5 2 6 3
54.0 2 10 4
53.5 1 4 1 1
53.0 2 3 2
52.5 1 1 4 2
52.0 3 1
51.5 2 4 3
51.0 1 2 1
50.5 1 2 3
50.0 1 1
49.5 2 2
49.0 1 4 1
48.5 1 1
48.0 2 10 5
47.5 2 1
47.0 4
46.5 1 2
46.0 1
45.5 3
45.0 2
44.5 1 1
44.0 3 2
43.5 2
43.0 2 1
42.5 2 1
42.0 2 9 3
41.5 2 1
40.5 2
40.0 1
39.0 2
38.5 1
38.0 1
37.5 1
36.5 1
36.0 1 1
34.0 1
31.5 1 1
30.5 1
30.0 1
26.5 1
24.0 3
20.5 1
18.0 2
American Mathematics Competitions
2006 AMC 12 A Results for Pennsylvania
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 0.03 0.02 0.00 0.01 0.00
2 1.65 0.18 5.09* 0.06 0.69 2.33 0.00
3 0.06 8.81* 0.05 0.03 1.00 0.05 0.00
4 1.81 0.12 0.03 0.07 7.71* 0.26 0.00
5 0.10 0.62 0.79 8.08* 0.13 0.28 0.00
6 7.45* 0.09 0.33 0.21 0.28 1.64 0.00
7 0.65 5.36* 0.79 0.59 0.40 2.20 0.00
8 1.00 1.12 6.94* 0.22 0.08 0.63 0.00
9 8.33* 0.16 0.06 0.04 0.30 1.11 0.00
10 0.21 0.11 0.72 3.46 1.99* 3.52 0.00
11 1.72 0.95 2.22* 0.84 0.59 3.67 0.00
12 1.55 5.30* 0.11 0.75 0.31 1.97 0.00
13 0.51 0.11 0.20 0.07 5.53* 3.58 0.00
14 0.05 0.52 4.94* 2.52 0.42 1.54 0.00
15 3.29* 1.29 0.26 0.51 1.50 3.15 0.01
16 0.28 3.57* 0.15 0.19 0.51 5.30 0.00
17 0.25 0.49* 0.40 0.37 0.09 8.40 0.00
18 1.26 0.11 0.29 0.54 0.41* 7.39 0.00
19 0.10 0.10 0.14 0.11 0.21* 9.34 0.00
20 1.87 0.51 0.40* 0.23 0.15 6.84 0.00
21 0.06 0.08 0.28 0.12 0.12* 9.33 0.00
22 0.13 0.09 0.09 0.10* 0.04 9.54 0.00
23 0.08 0.08* 0.10 0.08 0.15 9.49 0.00
24 1.05 0.12 0.14 0.21* 0.14 8.34 0.00
25 0.11 0.13 0.13 0.11 0.09* 9.43 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 Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0 1
149.5 124.5 99.5 4 2
149.0 124.0 1 99.0 1 2
148.5 123.5 98.5 2 1
148.0 123.0 1 98.0 9
147.5 122.5 97.5 1
147.0 122.0 97.0 1
146.5 121.5 2 96.5 1
146.0 121.0 96.0 5 4
145.5 120.5 2 95.5 3
145.0 120.0 95.0 5 1
144.5 119.5 1 94.5 3 1
144.0 119.0 94.0
143.5 118.5 1 93.5 3 1
143.0 118.0 93.0 1 1
142.5 117.5 92.5 6 1
142.0 117.0 2 1 92.0 5 2
141.5 116.5 91.5 2 1
141.0 116.0 3 91.0 5 4
140.5 115.5 2 90.5 3
140.0 115.0 90.0 1 2
139.5 114.5 2 1 89.5 2 1
139.0 114.0 89.0 4
138.5 113.5 3 88.5 7 1
138.0 113.0 1 88.0 4 4
137.5 112.5 2 2 87.5 3 4
137.0 112.0 1 87.0 5 1
136.5 111.5 1 86.5 9 5
136.0 111.0 1 86.0 8 6
135.5 110.5 85.5 5 1
135.0 110.0 4 85.0 4
134.5 109.5 84.5 2 3
134.0 109.0 2 84.0 9 7
133.5 108.5 83.5 2 1
133.0 108.0 2 83.0 8 5
132.5 107.5 1 82.5 4 8
132.0 107.0 82.0 8 4
131.5 106.5 1 81.5 9 7
131.0 106.0 81.0 6 2
130.5 105.5 2 80.5 7 6
130.0 105.0 3 80.0 5 4
129.5 104.5 1 79.5 5 6
129.0 1 104.0 4 1 79.0 5 4
128.5 1 103.5 78.5 7 3
128.0 103.0 1 78.0 15 3
127.5 2 102.5 1 77.5 6 1
127.0 102.0 2 77.0 8 4
126.5 101.5 1 1 76.5 7 1
126.0 101.0 1 76.0 5 2
125.5 1 100.5 3 75.5 9 5
American Mathematics Competitions
2006 AMC 10 B Results for Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 7 50.0 2 4 25.0
74.5 10 6 49.5 4 2 24.5 1 1
74.0 7 7 49.0 3 5 24.0 2 4
73.5 9 7 48.5 4 4 23.5
73.0 10 2 48.0 6 17 23.0 1
72.5 9 4 47.5 1 2 22.5
72.0 8 11 47.0 3 5 22.0 1
71.5 8 2 46.5 4 4 21.5
71.0 7 2 46.0 1 6 21.0 1
70.5 3 4 45.5 6 3 20.5
70.0 6 6 45.0 1 3 20.0
69.5 7 7 44.5 5 2 19.5
69.0 7 2 44.0 3 1 19.0
68.5 13 6 43.5 2 2 18.5 1
68.0 11 8 43.0 4 1 18.0 3 2
67.5 5 6 42.5 1 3 17.5
67.0 4 4 42.0 7 5 17.0 1 1
66.5 5 7 41.5 4 16.5
66.0 20 7 41.0 2 5 16.0
65.5 7 4 40.5 3 2 15.5
65.0 5 4 40.0 2 3 15.0
64.5 4 5 39.5 1 1 14.5
64.0 9 4 39.0 4 1 14.0
63.5 8 11 38.5 1 4 13.5
63.0 5 5 38.0 2 4 13.0
62.5 7 5 37.5 2 12.5
62.0 7 8 37.0 2 1 12.0 2
61.5 8 6 36.5 5 3 11.5
61.0 14 6 36.0 5 6 11.0
60.5 5 6 35.5 3 3 10.5
60.0 21 9 35.0 1 1 10.0
59.5 4 5 34.5 2 9.5
59.0 6 10 34.0 2 9.0
58.5 7 8 33.5 1 8.5
58.0 8 2 33.0 1 3 8.0
57.5 9 2 32.5 1 2 7.5
57.0 3 11 32.0 1 7.0
56.5 3 12 31.5 6.5
56.0 9 6 31.0 6.0 1
55.5 6 13 30.5 2 5.5
55.0 7 5 30.0 2 3 5.0
54.5 1 4 29.5 1 2 4.5
54.0 8 11 29.0 1 4.0
53.5 4 2 28.5 3.5
53.0 2 6 28.0 3.0
52.5 6 4 27.5 2.5
52.0 5 6 27.0 1 2.0
51.5 6 5 26.5 1 1.5
51.0 3 5 26.0 2 1.0
50.5 3 8 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Pennsylvania
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
129.0 1
128.5 1
127.5 2
125.5 1
124.0 1
123.0 1
121.5 1 1
120.5 1 1
119.5 1
118.5 1
117.0 3
116.0 1 3
115.5 1 1
114.5 2 1
113.5 1 2
113.0 1
112.5 1 3
112.0 1
111.5 1
111.0 1
110.0 1 3
109.5 1
109.0 2
108.0 1 1
107.5 1 1
106.5 1
105.5 2
105.0 3
104.5 1
104.0 1 4
103.0 1
102.5 1
102.0 2
101.5 1 1
101.0 1
100.5 1 2
100.0 1
99.5 6
99.0 3
98.5 3
98.0 1 8
97.5 1
97.0 2 1
96.5 1
96.0 3 6
95.5 3
95.0 3 4
94.5 2 3
93.5 4
93.0 2 1
92.5 3 4
92.0 2 1 4
91.5 2 1 2
91.0 3 7
90.5 2 1
90.0 3
89.5 3 1
89.0 1 3
88.5 4 4 1
88.0 2 6
87.5 4 5
87.0 2 3 1
86.5 1 4 10
86.0 3 11
85.5 2 4
85.0 1 4
84.5 1 4
84.0 2 14
83.5 3
83.0 5 9
82.5 2 10
82.0 4 8
81.5 8 9
81.0 1 7
80.5 4 10
80.0 1 4 4
79.5 3 9
79.0 3 6
78.5 4 7
78.0 6 12
77.5 3 5
77.0 4 8
76.5 5 5
76.0 1 6
75.5 1 3 10
75.0 4 7
74.5 9 7
74.0 8 6
73.5 5 15
73.0 5 8
72.5 6 8
72.0 12 8
71.5 6 8
71.0 3 7 1
70.5 3 5
70.0 3 9 1
69.5 3 12
69.0 3 7
68.5 6 13
68.0 6 13
67.5 6 5
67.0 3 5
66.5 1 3 8 2
66.0 15 14
65.5 8 3 1
65.0 4 5
64.5 4 7 1
64.0 4 9
63.5 7 11 1
63.0 5 5 1
62.5 7 8
62.0 8 9
61.5 8 6 2
61.0 7 14
60.5 6 6
60.0 15 16
59.5 4 6
59.0 1 5 11
58.5 7 9
58.0 6 5
57.5 5 6 1
57.0 1 9 4 1
56.5 7 8
56.0 4 11 1
55.5 9 11
55.0 5 7
54.5 3 2
54.0 5 15
53.5 2 4
53.0 6 3
52.5 5 5 1
52.0 6 5
51.5 2 9 2
51.0 3 5
50.5 5 7 1
50.0 2 4
49.5 3 3
49.0 2 6
48.5 6 3
48.0 9 14 1
47.5 2 1
47.0 3 5 1
46.5 5 4
46.0 2 5 1
45.5 5 4
45.0 2 3
44.5 1 6 1
44.0 2 2
43.5 2 2
43.0 3 3
42.5 3 2
42.0 7 8 1
41.5 3 1 1
41.0 4 3
40.5 2 3
40.0 2 3
39.5 1 1
39.0 1 3 1
38.5 2 3
38.0 6
37.5 1 2 1
37.0 1 2
36.5 3 6
36.0 7 5
35.5 3 3
35.0 1 1
34.5 1 1
34.0 1 1
33.5 1
33.0 3 1
32.5 2 1
32.0 1
30.5 2
30.0 4 2
29.5 1 2
29.0 1
27.0 1
26.5 1
26.0 2
25.5 1
24.5 2
24.0 5 2 1
23.0 1
22.0 1
21.0 1
18.5 1
18.0 3 3
17.0 2
12.0 2
6.0 1
American Mathematics Competitions
2006 AMC 10 B Results for Pennsylvania
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 0.72 0.47 5.88* 1.97 0.66 0.30 0.01
2 6.39* 0.61 0.13 0.17 0.28 2.41 0.00
3 8.17* 0.13 0.03 1.15 0.32 0.19 0.01
4 1.75 1.99 0.45 2.64* 1.96 1.21 0.00
5 0.78 4.79* 2.38 0.38 0.13 1.54 0.00
6 0.53 0.29 3.31 2.94* 0.49 2.45 0.00
7 2.37* 1.50 1.40 1.10 0.92 2.72 0.01
8 1.63 1.11* 0.35 1.57 0.45 4.90 0.00
9 0.10 7.99* 0.17 0.13 0.81 0.78 0.01
10 2.68* 0.43 1.57 0.23 2.81 2.29 0.00
11 0.38 0.66 2.49* 0.61 0.40 5.46 0.00
12 0.33 0.52 0.30 0.45 4.30* 4.10 0.00
13 0.90 0.17 2.35 0.90 3.04* 2.63 0.00
14 0.27 0.24 0.44 0.88* 0.10 8.06 0.00
15 0.89 0.60 1.47* 0.29 0.41 6.33 0.00
16 2.37 0.56 1.93 1.01 1.81* 2.32 0.00
17 2.78 1.26 1.52 2.61* 0.20 1.64 0.00
18 0.71 0.44 1.12 0.53 0.91* 6.30 0.00
19 0.39* 0.64 0.38 0.34 0.36 7.90 0.00
20 0.59 0.48 0.39 0.71 0.85* 6.96 0.01
21 0.70 0.35 0.82* 2.14 0.79 5.19 0.01
22 0.44 0.72 1.94 1.10* 0.21 5.58 0.01
23 0.29 0.94 0.33 0.44* 0.34 7.67 0.01
24 0.23 1.10* 0.69 0.34 0.32 7.30 0.01
25 0.25 2.41* 0.27 2.06 0.41 4.60 0.01
(*) 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 Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 1
149.5 124.5 99.5 16 9
149.0 124.0 2 99.0 2 1
148.5 123.5 98.5 23 19
148.0 123.0 2 1 98.0 1 4
147.5 122.5 97.5 8 4
147.0 122.0 6 97.0 10 7
146.5 121.5 96.5 1
146.0 121.0 96.0 35 21
145.5 120.5 1 95.5 2 1
145.0 120.0 95.0 62 26
144.5 119.5 3 2 94.5 11 4
144.0 119.0 94.0 7 2
143.5 118.5 6 1 93.5 17 11
143.0 118.0 93.0 1
142.5 117.5 92.5 36 23
142.0 117.0 1 1 92.0 6 6
141.5 116.5 91.5 12 13
141.0 116.0 5 1 91.0 7 12
140.5 115.5 90.5 5 4
140.0 115.0 6 2 90.0 22 15
139.5 114.5 2 89.5 1 1
139.0 114.0 1 89.0 55 23
138.5 113.5 4 88.5 7 2
138.0 1 113.0 88.0 9 8
137.5 112.5 6 87.5 11 6
137.0 112.0 87.0 4 4
136.5 111.5 10 6 86.5 33 19
136.0 1 111.0 1 86.0 4 4
135.5 110.5 85.5 17 13
135.0 110.0 3 85.0 5 8
134.5 109.5 84.5 6 7
134.0 109.0 15 5 84.0 10 13
133.5 1 108.5 83.5 4 4
133.0 108.0 24 6 83.0 26 20
132.5 107.5 3 1 82.5 7 3
132.0 107.0 82.0 7 18
131.5 106.5 8 2 81.5 12 9
131.0 106.0 1 1 81.0 5 3
130.5 105.5 21 9 80.5 14 16
130.0 2 105.0 2 2 80.0 4 3
129.5 104.5 27 5 79.5 12 12
129.0 104.0 2 1 79.0 5 11
128.5 103.5 78.5 4 9
128.0 103.0 10 5 78.0 13 9
127.5 1 102.5 1 77.5 6 4
127.0 102.0 24 14 77.0 15 19
126.5 2 101.5 2 76.5 4 3
126.0 101.0 32 14 76.0 9 7
125.5 1 100.5 9 4 75.5 6 7
American Mathematics Competitions
2006 AMC 12 B Results for Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 8 50.0 25.0
74.5 13 10 49.5 1 1 24.5
74.0 3 7 49.0 24.0 1 1
73.5 4 10 48.5 1 23.5
73.0 3 6 48.0 5 1 23.0
72.5 8 11 47.5 22.5
72.0 11 5 47.0 3 22.0
71.5 4 5 46.5 1 21.5
71.0 13 15 46.0 3 21.0
70.5 3 6 45.5 20.5
70.0 6 6 45.0 5 20.0
69.5 1 7 44.5 19.5
69.0 4 1 44.0 19.0
68.5 11 11 43.5 18.5
68.0 2 3 43.0 18.0
67.5 4 6 42.5 1 17.5
67.0 3 8 42.0 1 3 17.0
66.5 2 4 41.5 1 16.5
66.0 10 5 41.0 1 16.0
65.5 3 5 40.5 15.5
65.0 4 7 40.0 15.0
64.5 4 2 39.5 1 14.5
64.0 4 8 39.0 14.0
63.5 2 5 38.5 2 13.5
63.0 1 1 38.0 13.0
62.5 2 5 37.5 1 12.5
62.0 6 37.0 1 12.0
61.5 3 6 36.5 1 11.5
61.0 2 5 36.0 2 3 11.0
60.5 2 3 35.5 1 10.5
60.0 3 4 35.0 2 10.0
59.5 1 2 34.5 9.5
59.0 1 3 34.0 9.0
58.5 1 4 33.5 8.5
58.0 2 2 33.0 8.0
57.5 3 1 32.5 7.5
57.0 2 1 32.0 7.0
56.5 2 3 31.5 6.5
56.0 1 31.0 6.0
55.5 1 30.5 1 5.5
55.0 1 2 30.0 1 5.0
54.5 1 29.5 4.5
54.0 6 5 29.0 1 4.0
53.5 2 28.5 3.5
53.0 1 4 28.0 3.0
52.5 1 27.5 2.5
52.0 27.0 2.0
51.5 1 26.5 1.5
51.0 1 1 26.0 1.0
50.5 1 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Pennsylvania
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
138.0 1
136.0 1
133.5 1 1
130.0 1 1
127.5 1
126.5 1 1
125.5 1
124.0 1 2
123.0 1 2
122.0 2 2 2
120.5 1
119.5 1 2 2
118.5 5 2
117.0 1 1
116.0 4 2
115.0 1 1 6
114.5 1 1
114.0 1
113.5 1 3
112.5 1 4 1
111.5 2 6 8
111.0 1
110.0 2 2
109.0 7 13
108.0 1 1 14 15
107.5 1 1 3
106.5 2 9
106.0 1 1
105.5 1 1 12 17
105.0 1 3
104.5 2 12 18
104.0 2 2
103.0 1 7 9
102.5 1
102.0 20 19
101.5 1 1
101.0 5 14 29
100.5 2 5 6
100.0 1
99.5 1 15 10
99.0 3
98.5 1 1 18 23
98.0 3 2
97.5 1 6 6
97.0 1 11 5
96.5 1
96.0 1 5 18 33
95.5 1 1 1
95.0 3 33 52
94.5 7 8
94.0 6 4
93.5 3 13 13
93.0 1
92.5 2 28 31 1
92.0 1 6 4 1
91.5 14 12
91.0 2 9 8 2
90.5 4 5
90.0 1 17 21
89.5 1 1
89.0 1 32 46
88.5 1 6 4
88.0 2 11 4
87.5 1 10 6 1
87.0 5 4
86.5 4 26 21 1
86.0 1 4 3
85.5 3 18 10 1
85.0 6 8
84.5 5 8 1
84.0 1 12 12
83.5 1 2 3 2
83.0 2 25 21 2
82.5 6 5
82.0 1 13 11
81.5 9 12
81.0 3 5
80.5 1 15 15 1
80.0 4 3
79.5 1 10 14
79.0 8 8
78.5 1 6 6
78.0 1 11 11 1
77.5 8 3
77.0 1 24 10 1
76.5 6 1
76.0 8 8
75.5 13 2 1
75.0 6 6
74.5 1 1 16 6 1
74.0 1 7 2
73.5 5 9
73.0 4 5
72.5 7 12
72.0 1 8 7
71.5 4 5
71.0 1 16 11
70.5 4 5
70.0 5 7
69.5 5 3
69.0 5
68.5 2 11 9 1
68.0 4 2
67.5 2 4 4
67.0 1 7 4
66.5 6 2
66.0 2 9 4
65.5 1 3 4
65.0 1 4 6
64.5 1 4 2
64.0 7 5
63.5 1 6 1 1
63.0 1 1
62.5 7 1 1
62.0 5 2
61.5 1 5 3
61.0 2 5
60.5 3 2
60.0 1 6
59.5 1 2
59.0 3 2
58.5 5 2
58.0 2 3
57.5 3 1
57.0 1 1 1
56.5 3 2
56.0 1
55.5 1
55.0 2 1
54.5 1
54.0 1 7 3
53.5 2
53.0 2 4
52.5 1
51.5 1
51.0 2
50.5 1 2 1
49.5 2
48.5 1
48.0 1 5
47.0 2 1
46.5 1
46.0 1 2
45.0 2 2 1
42.5 1
42.0 3 1
41.5 1
41.0 1
39.5 1
38.5 2
37.5 1
37.0 1
36.5 1
36.0 3 2
35.5 1
35.0 2
31.5 2
30.5 1
30.0 1
29.0 1
24.0 2
American Mathematics Competitions
2006 AMC 12 B Results for Pennsylvania
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 0.30 0.25 8.34* 0.72 0.26 0.13 0.00
2 8.52* 0.30 0.04 0.09 0.34 0.70 0.00
3 8.79* 0.17 0.03 0.66 0.23 0.13 0.00
4 9.44* 0.19 0.06 0.18 0.04 0.08 0.00
5 7.27* 0.78 0.23 0.22 0.19 1.31 0.00
6 0.03 9.13* 0.06 0.03 0.40 0.35 0.00
7 0.43 8.50* 0.31 0.37 0.12 0.28 0.01
8 0.14 0.20 0.22 0.38 7.16* 1.89 0.01
9 0.39 4.97* 0.38 0.87 0.38 3.01 0.00
10 3.49* 0.52 1.24 0.12 2.78 1.85 0.00
11 0.71 0.12 1.16 0.88 4.77* 2.35 0.00
12 0.64 0.45 0.35 0.86* 0.62 7.08 0.00
13 0.58 0.51 2.32* 0.21 0.43 5.94 0.01
14 0.25 0.45 2.11 1.96* 0.08 5.14 0.00
15 0.28 1.83* 0.89 0.30 0.18 6.52 0.00
16 0.22 0.20 0.83* 0.23 0.22 8.30 0.01
17 0.56 0.22 1.17* 1.53 0.35 6.16 0.00
18 0.49 0.80* 1.16 0.34 0.14 7.06 0.00
19 0.14 2.35* 0.14 1.44 0.22 5.70 0.00
20 0.17 0.25 0.19* 0.13 0.59 8.67 0.00
21 0.13 0.13 0.20* 0.09 0.15 9.31 0.00
22 0.16 0.21* 0.19 0.11 0.11 9.23 0.00
23 0.21 0.20 0.33 0.21 0.12* 8.94 0.00
24 0.20 0.13 0.12* 0.17 0.07 9.32 0.00
25 0.08 0.20* 0.16 0.24 0.10 9.23 0.01
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column