American Mathematics Competitions
2005 AMC 10 A Results for Pennsylvania
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2941
Number of unofficial participants: 39
Average score of participants: 73.6
Average score for female students is: 69.8 ( 1142 Students)
Average score for male students is: 76.2 ( 1662 Students)
Average score for unspecified gender is 74.3 ( 137 Students)
Average score for grade 10 is: 74.8 ( 1684 Students)
Average score for grade 9 is: 71.8 ( 1197 Students)
Average score for grade 8 and below is: 77.5 ( 35 Students)
Average score with unknown grade: 73.7 ( 25 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 16
Number of schools returning results 121
Average school winning score 102.56
American Mathematics Competitions
2005 AMC 12 A Results for Pennsylvania
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 5275
Number of unofficial participants: 30
Average score of participants: 78.1
Average score for female students is: 74.4 ( 2003 Students)
Average score for male students is: 80.7 ( 3037 Students)
Average score for unspecified gender is 76.2 ( 235 Students)
Average score for grade 13 is: 85.2 ( 3 Students)
Average score for grade 12 is: 79.7 ( 2208 Students)
Average score for grade 11 is: 77.4 ( 2360 Students)
Average score for grade 10 is: 75.6 ( 534 Students)
Average score for grade 9 is: 74.6 ( 111 Students)
Average score for grade 8 and below is: 92.5 ( 1 Student)
Average score with unknown grade: 73.9 ( 58 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 456
Number of schools returning results 153
Average school winning score 106.13
Average school team score 297.37
American Mathematics Competitions
2005 AMC 10 B Results for Pennsylvania
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1131
Number of unofficial participants: 0
Average score of participants: 79.0
Average score for female students is: 76.2 ( 465 Students)
Average score for male students is: 81.6 ( 591 Students)
Average score for unspecified gender is 75.9 ( 75 Students)
Average score for grade 10 is: 81.5 ( 641 Students)
Average score for grade 9 is: 75.7 ( 458 Students)
Average score for grade 8 and below is: 92.1 ( 4 Students)
Average score with unknown grade: 74.2 ( 28 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 10
Number of schools returning results 50
Average school winning score 106.12
American Mathematics Competitions
2005 AMC 12 B Results for Pennsylvania
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1563
Number of unofficial participants: 0
Average score of participants: 83.7
Average score for female students is: 80.2 ( 634 Students)
Average score for male students is: 86.3 ( 871 Students)
Average score for unspecified gender is 81.8 ( 58 Students)
Average score for grade 13 is: 87.3 ( 3 Students)
Average score for grade 12 is: 85.5 ( 692 Students)
Average score for grade 11 is: 83.2 ( 717 Students)
Average score for grade 10 is: 75.9 ( 114 Students)
Average score for grade 9 is: 90.6 ( 11 Students)
Average score for grade 8 and below is: 81.0 ( 1 Student)
Average score with unknown grade: 78.0 ( 25 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 191
Number of schools returning results 57
Average school winning score 106.75
Average school team score 301.40
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
404.0 1 1
397.0 1 2
394.5 1 3
393.5 1 4
389.0 1 5
383.0 1 6
381.0 1 7
377.5 1 8
376.0 1 9
374.5 1 10
372.5 1 11
358.5 1 12
356.0 2 13
355.0 1 15
354.5 1 16
353.0 2 17
352.5 1 1 19
351.5 1 21
348.0 1 22
346.0 1 23
345.5 2 24
343.5 1 26
340.0 2 1 27
339.5 1 30
339.0 1 31
337.0 1 32
336.5 1 33
335.5 1 1 34
335.0 1 36
334.5 1 37
334.0 1 38
331.0 1 1 39
330.5 1 41
330.0 2 42
327.5 2 44
327.0 1 46
326.5 1 47
326.0 2 1 48
325.5 1 1 51
324.5 1 1 53
323.0 1 55
322.5 2 56
322.0 1 58
320.5 2 59
320.0 1 2 61
319.0 1 64
318.0 1 65
317.5 2 1 66
315.5 2 69
315.0 1 71
314.5 3 1 72
314.0 1 76
313.5 1 77
312.5 2 78
311.5 1 1 80
311.0 1 1 82
310.5 2 1 84
309.5 2 87
309.0 1 89
308.5 1 90
308.0 2 1 91
307.5 1 94
306.0 1 2 95
305.5 1 98
305.0 1 99
304.5 1 100
304.0 1 101
302.5 1 102
302.0 1 103
301.5 1 104
301.0 1 105
299.5 1 106
298.5 4 107
297.5 2 111
297.0 1 113
296.5 2 114
295.5 1 116
294.5 1 117
294.0 1 118
293.5 2 119
293.0 2 121
292.5 1 123
292.0 2 124
291.5 1 126
290.5 1 127
290.0 1 128
289.5 1 129
289.0 1 130
288.5 4 1 131
287.5 3 1 136
287.0 1 140
286.5 1 141
285.0 1 142
284.5 1 143
283.5 2 144
283.0 2 1 146
282.5 1 149
282.0 1 150
281.0 1 151
280.0 1 152
277.5 1 1 153
277.0 1 155
276.5 1 156
276.0 1 157
275.5 1 158
275.0 1 159
274.0 1 160
273.5 1 161
273.0 1 162
272.5 1 163
271.5 1 164
271.0 2 165
270.5 1 167
270.0 1 168
269.5 2 169
268.5 1 1 171
267.0 3 173
266.0 2 176
264.5 1 178
263.0 1 179
262.0 1 180
260.5 1 181
259.0 1 182
258.0 1 183
257.5 2 184
257.0 1 186
255.0 1 187
252.5 1 188
250.5 1 189
250.0 2 190
249.5 1 192
248.0 1 193
247.0 1 194
243.5 1 195
241.0 2 196
235.5 1 198
233.0 2 199
231.5 1 201
214.0 1 202
213.5 1 203
210.5 1 204
206.0 1 205
194.0 1 206
150.5 1 207
149.5 1 208
102.0 1 209
82.5 1 210
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
144.0 2
143.0 2
140.5 1
139.5 2 1
138.0 2
137.0 6
136.0 1
134.5 1
133.5 2 1 2
132.5 2 1
132.0 1
131.0 1
130.0 1
128.5 1 2
127.5 3 2 1
126.5 1 1
126.0 1 1 1
125.5 2 1 1
125.0 1
124.0 1
123.0 9 2 2
122.0 2 1 2
120.5 2 3
120.0 1
119.5 8 1 1 5
119.0 1
118.5 5 1 1 1
118.0 2 2 2 1
117.0 5 8 1
116.0 5 2 2 2
115.5 1 3 1
115.0 11 2
114.5 6 1
114.0 1
113.5 5 5 3 5
112.5 16 3 3 1
112.0 1 2 5
111.5 11 9 2
111.0 4 2 5 2
110.5 1
110.0 5 3 6 8
109.5 1 1 1
109.0 20 8 6 2
108.5 1 2 3 5
108.0 35 13 3 1
107.5 6 7 4
107.0 2
106.5 23 5 8 3
106.0 1 2 1
105.5 30 12 9 3
105.0 2 1 4 4
104.5 38 18 1 5
104.0 10 3 13 11
103.5 1 1
103.0 30 15 12 8
102.5 2 4 1
102.0 47 25 6 5
101.5 7 5 7 2
101.0 66 33 4 1
100.5 22 7 12 9
100.0 4 1
99.5 26 19 10 8
99.0 2 3 2
98.5 65 33 15 4
98.0 10 3 11 13
97.5 38 6 6 2
97.0 20 11 11 8
96.5 1 6 2
96.0 82 34 23 15
95.5 8 1 11 8
95.0 123 57 23 13
94.5 16 5 13 11
94.0 25 3 6 3
93.5 46 24 21 15
93.0 2 1 9 3
92.5 95 52 23 19
92.0 8 4 23 4
91.5 55 20 15 11
91.0 22 14 29 12
90.5 37 6 5 5
90.0 71 38 28 23
89.5 5 4 16 9
89.0 148 68 35 25
88.5 14 6 15 8
88.0 73 15 20 8
87.5 57 23 25 15
87.0 30 10 10 2
86.5 102 54 32 24
86.0 9 6 15 10
85.5 91 33 40 18
85.0 23 11 17 11
84.5 85 20 32 10
84.0 74 41 32 15
83.5 36 4 18 9
83.0 147 88 36 31
82.5 20 9 12 10
82.0 86 27 37 15
81.5 34 18 23 17
81.0 82 9 28 5
80.5 73 43 42 20
80.0 28 5 26 14
79.5 91 34 52 19
79.0 26 6 19 21
78.5 92 18 38 6
78.0 66 20 53 18
77.5 71 12 30 9
77.0 114 48 47 17
76.5 29 7 21 9
76.0 87 23 49 17
75.5 36 11 31 13
75.0 92 9 35 7
74.5 62 11 46 17
74.0 44 8 23 8
73.5 91 19 54 8
73.0 33 10 22 13
72.5 89 15 43 10
72.0 57 13 46 18
71.5 53 11 31 12
71.0 102 21 45 23
70.5 38 4 29 7
70.0 67 13 59 9
69.5 34 11 25 16
69.0 71 7 45 8
68.5 54 13 42 7
68.0 55 8 21 6
67.5 51 12 39 9
67.0 35 7 18 14
66.5 59 6 33 9
66.0 52 8 45 11
65.5 42 6 34 6
65.0 76 14 33 12
64.5 35 11 21 6
64.0 41 5 37 7
63.5 33 1 29 12
63.0 42 5 26 5
62.5 39 1 43 12
62.0 33 7 29 4
61.5 29 3 27 5
61.0 22 8 26 9
60.5 25 1 30 6
60.0 49 8 40 7
59.5 25 3 33 7
59.0 45 6 23 4
58.5 20 2 14 2
58.0 26 2 17 3
57.5 17 3 22 4
57.0 19 3 17 5
56.5 25 2 26 5
56.0 14 2 25 3
55.5 13 14 6
55.0 16 1 18 3
54.5 15 3 22 3
54.0 37 9 25 10
53.5 16 1 12 6
53.0 21 1 15 4
52.5 8 1 7 1
52.0 16 4 16 2
51.5 14 15 3
51.0 15 1 6 3
50.5 6 5 8 2
50.0 14 8 5
49.5 9 3 8 1
49.0 10 11 2
48.5 6 7
48.0 26 6 18 7
47.5 7 1 10 3
47.0 10 3 6 3
46.5 9 1 5 1
46.0 6 3 6 1
45.5 9 6 1
45.0 6 2 4 1
44.5 8 1 5 3
44.0 1 9
43.5 4 4
43.0 6 1 5 2
42.5 6 2 5 3
42.0 26 1 12 5
41.5 4 6 1
41.0 1 3 1
40.5 4 9 1
40.0 2 1 3 2
39.5 2 2
39.0 2 3 3
38.5 5 3 3
38.0 4 1 6
37.5 1 1 4 1
37.0 5 1 3
36.5 4 2 2
36.0 20 3 13
35.5 1 5 1
35.0 3 1 2
34.5 1
34.0 2
33.5 1
33.0 1
32.5 1
32.0 1 1
31.5 2
31.0 1
30.5 3 1
30.0 17 2 8 2
29.5 2 1
29.0 2
28.5 2 1 1
28.0 1 1
26.5 1 1
25.5 1
25.0 1
24.5 1
24.0 8 1 3 2
23.5 1
18.0 4
17.5 1
17.0 1
16.0 1
12.0 1
American Mathematics Competitions
2005 AMC 10 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 3 1
149.5 124.5 99.5 8 2
149.0 124.0 1 99.0 3
148.5 123.5 98.5 11 4
148.0 123.0 1 1 98.0 8 1
147.5 122.5 97.5 1 4
147.0 122.0 97.0 10 1
146.5 121.5 96.5 2 4
146.0 121.0 96.0 20 2
145.5 120.5 3 95.5 10 1
145.0 120.0 95.0 12 10
144.5 119.5 1 94.5 6 7
144.0 2 119.0 94.0 5 1
143.5 118.5 1 93.5 13 7
143.0 118.0 2 93.0 7 2
142.5 117.5 92.5 19 3
142.0 117.0 7 1 92.0 20 2
141.5 116.5 91.5 11 3
141.0 116.0 2 91.0 16 10
140.5 115.5 2 1 90.5 1 3
140.0 115.0 90.0 20 5
139.5 114.5 4 1 89.5 14 2
139.0 114.0 1 89.0 21 13
138.5 113.5 2 1 88.5 12 3
138.0 113.0 88.0 14 6
137.5 112.5 2 1 87.5 14 9
137.0 112.0 4 1 87.0 8 2
136.5 111.5 2 86.5 18 13
136.0 111.0 4 86.0 11 3
135.5 110.5 85.5 22 15
135.0 110.0 4 1 85.0 11 4
134.5 1 109.5 1 84.5 18 14
134.0 109.0 4 2 84.0 20 5
133.5 1 108.5 3 83.5 8 9
133.0 108.0 2 1 83.0 24 12
132.5 107.5 6 82.5 8 4
132.0 1 107.0 2 82.0 24 12
131.5 106.5 7 1 81.5 16 6
131.0 106.0 1 1 81.0 16 12
130.5 105.5 7 1 80.5 28 14
130.0 105.0 3 1 80.0 15 9
129.5 104.5 1 79.5 28 18
129.0 104.0 9 1 79.0 12 5
128.5 1 103.5 1 78.5 24 12
128.0 103.0 9 2 78.0 28 24
127.5 1 102.5 4 77.5 17 12
127.0 102.0 4 2 77.0 29 16
126.5 1 101.5 5 2 76.5 11 10
126.0 1 101.0 2 2 76.0 30 18
125.5 1 100.5 9 2 75.5 17 13
American Mathematics Competitions
2005 AMC 10 A Results for Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 19 13 50.0 2 6 25.0
74.5 23 22 49.5 4 4 24.5
74.0 12 10 49.0 6 5 24.0 2 1
73.5 39 12 48.5 1 6 23.5
73.0 8 14 48.0 7 9 23.0
72.5 25 16 47.5 5 4 22.5
72.0 29 16 47.0 2 3 22.0
71.5 13 17 46.5 1 2 21.5
71.0 24 20 46.0 4 2 21.0
70.5 14 13 45.5 2 3 20.5
70.0 32 23 45.0 4 20.0
69.5 12 12 44.5 2 3 19.5
69.0 20 24 44.0 2 7 19.0
68.5 18 20 43.5 1 2 18.5
68.0 18 3 43.0 5 18.0
67.5 21 18 42.5 1 3 17.5
67.0 8 9 42.0 7 5 17.0
66.5 19 13 41.5 1 5 16.5
66.0 29 14 41.0 2 1 16.0 1
65.5 18 16 40.5 4 5 15.5
65.0 14 14 40.0 1 2 15.0
64.5 8 12 39.5 2 14.5
64.0 17 19 39.0 2 1 14.0
63.5 11 16 38.5 2 1 13.5
63.0 11 15 38.0 2 4 13.0
62.5 22 21 37.5 2 2 12.5
62.0 14 14 37.0 2 1 12.0
61.5 17 9 36.5 1 1 11.5
61.0 9 16 36.0 7 5 11.0
60.5 10 17 35.5 2 3 10.5
60.0 20 18 35.0 2 10.0
59.5 15 17 34.5 1 9.5
59.0 14 9 34.0 9.0
58.5 7 5 33.5 8.5
58.0 9 7 33.0 1 8.0
57.5 14 8 32.5 7.5
57.0 8 9 32.0 1 7.0
56.5 8 16 31.5 6.5
56.0 9 15 31.0 6.0
55.5 6 8 30.5 1 5.5
55.0 10 8 30.0 5 2 5.0
54.5 7 15 29.5 1 4.5
54.0 11 11 29.0 1 4.0
53.5 9 2 28.5 1 3.5
53.0 9 6 28.0 1 3.0
52.5 5 2 27.5 2.5
52.0 9 5 27.0 2.0
51.5 10 4 26.5 1.5
51.0 3 3 26.0 1.0
50.5 3 5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Pennsylvania
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
144.0 1 1
134.5 1
133.5 1
132.0 1
128.5 1
127.5 1
126.5 1
126.0 1
125.5 1
124.0 1
123.0 1 1
120.5 2 1
119.5 1
118.5 1
118.0 2
117.0 3 5
116.0 1 1
115.5 1 2
114.5 6
114.0 1
113.5 1 2
112.5 2 1
112.0 1 4
111.5 1 1
111.0 3 2
110.5 1
110.0 1 3 2
109.5 1
109.0 1 5
108.5 1 1 1
108.0 3
107.5 1 1 5
107.0 2
106.5 1 2 5
106.0 2
105.5 2 7
105.0 4
104.5 1
104.0 2 11
103.5 1
103.0 1 3 8
102.5 2 2
102.0 1 3 2
101.5 2 5
101.0 4
100.5 6 6
100.0 1 3
99.5 3 6 1
99.0 2 1
98.5 6 9
98.0 11
97.5 2 3 1
97.0 4 7
96.5 1 5
96.0 10 13
95.5 2 9
95.0 10 13
94.5 4 9
94.0 3 3
93.5 6 15
93.0 6 3
92.5 1 8 13 1
92.0 9 14
91.5 4 11
91.0 7 22
90.5 2 3
90.0 9 19
89.5 1 5 10
89.0 1 12 22
88.5 4 11
88.0 9 11
87.5 5 20
87.0 2 8
86.5 9 23
86.0 1 7 6 1
85.5 20 19 1
85.0 5 12
84.5 14 18
84.0 9 21 2
83.5 6 12
83.0 1 9 26
82.5 2 10
82.0 16 20 1
81.5 8 15
81.0 14 13 1
80.5 1 14 27
80.0 1 15 10
79.5 24 28
79.0 3 15 1
78.5 11 27
78.0 19 32 2
77.5 14 16
77.0 1 19 25 2
76.5 8 13
76.0 21 26 2
75.5 11 20
75.0 16 19
74.5 18 28
74.0 10 13
73.5 21 33
73.0 6 16
72.5 23 20
72.0 20 26
71.5 1 19 11
71.0 26 19
70.5 11 18
70.0 26 31 2
69.5 10 15
69.0 2 24 19
68.5 19 23
68.0 12 9
67.5 1 15 23
67.0 8 10
66.5 14 19
66.0 19 26
65.5 18 16
65.0 15 18
64.5 6 15
64.0 15 22
63.5 1 14 14
63.0 12 14
62.5 19 24
62.0 1 14 14
61.5 1 16 10
61.0 9 17
60.5 13 16 1
60.0 1 1 16 21 1
59.5 1 20 12
59.0 11 12
58.5 6 7 1
58.0 11 6
57.5 11 11
57.0 9 8
56.5 2 11 13
56.0 12 12 1
55.5 6 8
55.0 5 13
54.5 7 15
54.0 12 13
53.5 1 3 8
53.0 8 7
52.5 1 3 3
52.0 6 10
51.5 4 11
51.0 4 2
50.5 1 3 4
50.0 4 4
49.5 5 3
49.0 4 7
48.5 3 4
48.0 8 9 1
47.5 1 4 5
47.0 2 4
46.5 1 4
46.0 1 5
45.5 1 1 4
45.0 2 2
44.5 4 1
44.0 1 2 6
43.5 1 3
43.0 3 2
42.5 2 2 1
42.0 5 7
41.5 3 3
41.0 2 1
40.5 3 6
40.0 3
39.5 1 1
39.0 3
38.5 3
38.0 4 2
37.5 1 3
37.0 2 1
36.5 1 1
36.0 5 8
35.5 4 1
35.0 2
34.5 1
33.0 1
32.0 1
30.5 1
30.0 4 4
29.5 1
29.0 1 1
28.5 1
28.0 1
24.0 2 1
16.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Pennsylvania
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.18 0.13 0.33 8.74* 0.46 0.17 0.00
2 0.13 0.10 6.17* 0.11 1.48 2.01 0.00
3 0.05 9.11* 0.23 0.30 0.09 0.23 0.00
4 0.46 1.63* 2.01 0.57 0.63 4.70 0.00
5 5.90* 0.39 3.48 0.07 0.04 0.12 0.00
6 0.40 5.32* 2.92 0.15 0.11 1.11 0.00
7 0.69 4.10* 0.31 0.39 0.72 3.78 0.00
8 1.29 0.28 3.91* 0.13 0.16 4.23 0.00
9 1.32 5.74* 0.93 0.23 0.19 1.59 0.00
10 1.58* 0.40 1.13 0.43 0.14 6.33 0.00
11 0.52 2.17* 0.24 0.77 0.13 6.17 0.00
12 0.28 0.97* 0.60 0.20 0.64 7.32 0.00
13 1.62 0.51 0.31 0.38 0.88* 6.29 0.00
14 0.76 0.62 0.39 0.53 2.56* 5.14 0.00
15 0.45 0.83 0.82 1.17 0.94* 5.79 0.00
16 0.63 0.35 0.84 2.47* 0.17 5.55 0.00
17 0.27 0.26 0.54 2.00* 0.50 6.44 0.00
18 1.36* 2.04 1.05 3.44 0.24 1.87 0.00
19 0.49 0.70 0.75 3.29* 0.65 4.10 0.01
20 0.57* 0.43 0.68 0.40 0.31 7.61 0.00
21 1.66 0.61* 0.28 0.27 0.58 6.60 0.00
22 0.84 0.46 0.25 2.52* 0.54 5.39 0.00
23 0.19 0.45 1.14* 1.03 0.80 6.40 0.00
24 1.08 0.81* 0.35 0.15 0.11 7.50 0.00
25 0.37 0.68 0.71 0.82* 0.10 7.32 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2005 AMC 12 A Results for Pennsylvania
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 20 6
149.0 124.0 99.0 1 1
148.5 123.5 98.5 43 22
148.0 123.0 7 2 98.0 9 1
147.5 122.5 97.5 21 17
147.0 122.0 2 97.0 13 6
146.5 121.5 96.5 1
146.0 121.0 96.0 61 20
145.5 120.5 2 95.5 7 1
145.0 120.0 95.0 75 46
144.5 119.5 8 94.5 14 2
144.0 119.0 1 94.0 13 10
143.5 118.5 5 93.5 34 10
143.0 2 118.0 2 93.0 2
142.5 117.5 92.5 58 30
142.0 117.0 5 92.0 5 3
141.5 116.5 91.5 32 22
141.0 116.0 3 1 91.0 17 5
140.5 1 115.5 1 90.5 26 11
140.0 115.0 9 2 90.0 47 19
139.5 1 114.5 89.5 5
139.0 114.0 89.0 95 46
138.5 113.5 4 1 88.5 13 1
138.0 2 113.0 88.0 47 24
137.5 112.5 12 2 87.5 42 15
137.0 6 112.0 1 87.0 15 13
136.5 111.5 9 2 86.5 71 27
136.0 1 111.0 4 86.0 8 1
135.5 110.5 85.5 58 30
135.0 110.0 5 85.0 12 10
134.5 109.5 84.5 35 44
134.0 109.0 16 4 84.0 50 20
133.5 108.5 1 83.5 25 10
133.0 108.0 26 6 83.0 94 47
132.5 2 107.5 5 82.5 14 2
132.0 107.0 82.0 44 41
131.5 106.5 19 4 81.5 21 12
131.0 1 106.0 81.0 41 36
130.5 105.5 28 2 80.5 48 24
130.0 105.0 2 80.0 18 9
129.5 104.5 24 12 79.5 62 26
129.0 104.0 9 1 79.0 17 8
128.5 103.5 78.5 47 44
128.0 103.0 23 5 78.0 42 20
127.5 3 102.5 2 77.5 35 32
127.0 102.0 31 13 77.0 69 42
126.5 1 101.5 5 76.5 15 12
126.0 1 101.0 47 15 76.0 36 47
125.5 1 100.5 14 7 75.5 17 15
American Mathematics Competitions
2005 AMC 12 A Results for Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 51 36 50.0 8 5 25.0 1
74.5 27 30 49.5 3 6 24.5
74.0 16 24 49.0 1 5 24.0 5 3
73.5 45 39 48.5 2 4 23.5 1
73.0 18 13 48.0 16 10 23.0
72.5 52 34 47.5 4 3 22.5
72.0 29 23 47.0 3 5 22.0
71.5 26 23 46.5 6 2 21.5
71.0 55 42 46.0 1 5 21.0
70.5 16 18 45.5 5 4 20.5
70.0 34 29 45.0 3 3 20.0
69.5 18 14 44.5 4 3 19.5
69.0 36 34 44.0 19.0
68.5 22 31 43.5 2 2 18.5
68.0 32 22 43.0 3 3 18.0 3
67.5 23 26 42.5 6 17.5
67.0 21 11 42.0 15 11 17.0
66.5 23 35 41.5 2 1 16.5
66.0 25 25 41.0 1 16.0
65.5 21 20 40.5 1 2 15.5
65.0 35 35 40.0 1 1 15.0
64.5 21 14 39.5 2 14.5
64.0 15 23 39.0 1 1 14.0
63.5 19 11 38.5 4 1 13.5
63.0 30 12 38.0 1 3 13.0
62.5 22 13 37.5 1 12.5
62.0 14 18 37.0 2 3 12.0 1
61.5 14 14 36.5 1 2 11.5
61.0 14 7 36.0 7 12 11.0
60.5 10 11 35.5 1 10.5
60.0 26 20 35.0 2 10.0
59.5 11 14 34.5 9.5
59.0 25 19 34.0 9.0
58.5 10 10 33.5 8.5
58.0 9 15 33.0 8.0
57.5 7 9 32.5 1 7.5
57.0 10 8 32.0 1 7.0
56.5 11 14 31.5 2 6.5
56.0 2 12 31.0 1 6.0
55.5 7 6 30.5 2 5.5
55.0 6 9 30.0 11 4 5.0
54.5 7 7 29.5 1 1 4.5
54.0 17 18 29.0 4.0
53.5 7 8 28.5 2 3.5
53.0 8 13 28.0 3.0
52.5 4 4 27.5 2.5
52.0 4 12 27.0 2.0
51.5 2 12 26.5 1.5
51.0 6 9 26.0 1.0
50.5 4 2 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Pennsylvania
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
143.0 1 1
140.5 1
139.5 1 1
138.0 2
137.0 6
136.0 1
132.5 1 1
131.0 1
127.5 1 2
126.5 1
126.0 1
125.5 1 1
123.0 1 1 1 6
122.0 1 1
120.5 1 1
119.5 1 3 4
119.0 1
118.5 1 2 2
118.0 1 1
117.0 2 3
116.0 1 3 1
115.5 1
115.0 5 6
113.5 2 2 1
112.5 1 4 6 5
112.0 1
111.5 3 8
111.0 1 1 2
110.0 2 3
109.0 1 12 7
108.5 1
108.0 1 3 12 19
107.5 3 3
106.5 2 3 13 5
105.5 3 14 13
105.0 2
104.5 2 16 19 1
104.0 1 3 6
103.0 1 8 20 1
102.5 1 1
102.0 2 3 12 30
101.5 1 2 4
101.0 1 6 25 33 1
100.5 10 10 1 1
99.5 3 12 11
99.0 1 1
98.5 1 7 21 35 1
98.0 1 1 3 5
97.5 4 16 17 1
97.0 3 10 7
96.5 1
96.0 6 35 40 1
95.5 1 5 2
95.0 1 7 46 69
94.5 2 6 8
94.0 11 14
93.5 1 1 22 21 1
93.0 1 1
92.5 1 3 6 42 42 1
92.0 5 3
91.5 1 6 23 25
91.0 1 5 6 10
90.5 1 5 14 17
90.0 6 32 33
89.5 1 3 1
89.0 17 62 68 1
88.5 1 7 6
88.0 1 6 28 37 1
87.5 4 2 19 32
87.0 1 3 15 11
86.5 1 7 47 46 1
86.0 1 5 2 1
85.5 5 43 42 1
85.0 1 2 12 8
84.5 8 36 37 1 3
84.0 8 33 32 1
83.5 1 5 15 15
83.0 6 8 72 58 3
82.5 14 6
82.0 5 7 36 38
81.5 2 16 15 1
81.0 1 11 39 30 1
80.5 2 11 28 32
80.0 3 10 15
79.5 1 10 35 42 3
79.0 1 6 10 9
78.5 1 8 42 40 1
78.0 1 12 28 25
77.5 4 42 24 1
77.0 18 41 54 1
76.5 1 19 8 1
76.0 2 11 40 34
75.5 2 16 18
75.0 11 36 44 1
74.5 2 8 27 25
74.0 1 4 18 21
73.5 2 9 46 31 3
73.0 1 4 18 10
72.5 2 8 39 39 1
72.0 2 3 32 20
71.5 2 6 24 21
71.0 3 12 51 34 2
70.5 2 19 15 1 1
70.0 5 3 38 21
69.5 4 19 11
69.0 2 10 38 21
68.5 1 9 24 18 2
68.0 2 10 24 19
67.5 1 7 23 20
67.0 2 3 16 14
66.5 1 6 25 27
66.0 5 28 19
65.5 4 21 16 1
65.0 9 37 27 3
64.5 3 4 17 11
64.0 6 23 10 2
63.5 3 3 18 8 1
63.0 3 3 25 11
62.5 1 7 14 14 3
62.0 2 13 17 1
61.5 2 2 11 14
61.0 2 12 8
60.5 5 12 8
60.0 1 6 23 19
59.5 1 18 6
59.0 2 6 16 21
58.5 1 15 4
58.0 3 12 11
57.5 3 2 4 8
57.0 3 8 8
56.5 1 3 12 9
56.0 11 3
55.5 4 5 4
55.0 3 8 5
54.5 1 9 5
54.0 2 6 13 15 1
53.5 3 8 5
53.0 4 11 6
52.5 1 2 4 1
52.0 2 8 6
51.5 4 5 5
51.0 2 6 7
50.5 5 1
50.0 1 3 6 4
49.5 1 2 4 2
49.0 2 5 3
48.5 1 1 4
48.0 15 11
47.5 1 2 4
47.0 1 5 4
46.5 1 4 4
46.0 1 2 3
45.5 3 3 3
45.0 1 3 2
44.5 1 4 2 1
43.5 2 1 1
43.0 3 3
42.5 4 2
42.0 2 8 15 1
41.5 2 1 1
41.0 1
40.5 1 2 1
40.0 1 1
39.5 2
39.0 1 1
38.5 2 3
38.0 2 2
37.5 1
37.0 1 3 1
36.5 2 2
36.0 3 9 8
35.5 1
35.0 3
32.5 1
32.0 1
31.5 2
31.0 1
30.5 1 1 1
30.0 3 1 4 7 2
29.5 1 1
28.5 1 1
25.5 1
25.0 1
24.0 3 5
23.5 1
18.0 1 2 1
12.0 1
American Mathematics Competitions
2005 AMC 12 A Results for Pennsylvania
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.06 0.05 0.09 9.51* 0.13 0.16 0.00
2 0.02 9.45* 0.16 0.25 0.03 0.08 0.00
3 0.34 4.08* 1.20 0.43 0.56 3.39 0.00
4 6.93* 0.32 2.56 0.06 0.04 0.09 0.00
5 0.23 7.13* 1.67 0.11 0.06 0.79 0.00
6 0.48 5.19* 0.31 0.36 0.76 2.90 0.00
7 0.62 0.20 6.76* 0.10 0.11 2.20 0.00
8 0.43 0.49 0.36 1.95* 0.28 6.48 0.00
9 3.35* 0.43 0.89 0.31 0.15 4.86 0.00
10 0.43 2.84* 0.25 0.69 0.10 5.69 0.00
11 1.00 0.41 0.38 0.50 3.36* 4.35 0.00
12 1.04 0.25 0.23 3.44* 1.25 3.79 0.01
13 0.14 0.24 0.49 2.92* 0.32 5.89 0.00
14 0.35 0.45 3.27 1.08* 0.49 4.35 0.00
15 0.23 0.36 1.35* 0.78 0.75 6.53 0.00
16 0.28 0.33 0.78 0.56* 0.32 7.72 0.00
17 1.51* 0.79 1.23 0.32 0.44 5.70 0.00
18 0.30* 0.38 0.30 0.27 0.23 8.53 0.00
19 0.93 2.25* 0.91 0.46 0.80 4.66 0.00
20 0.30 0.15 0.18 0.15 0.20* 9.01 0.00
21 0.40 0.41 0.32* 0.19 0.08 8.58 0.00
22 0.40 0.49* 0.29 0.29 0.23 8.31 0.00
23 0.43 0.48* 0.21 0.30 0.39 8.19 0.00
24 0.09 0.16* 0.17 0.19 0.06 9.33 0.00
25 0.30 0.22 0.15* 0.22 0.12 9.00 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2005 AMC 10 B Results for Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 100.0 1
149.5 124.5 99.5 4 4
149.0 124.0 99.0 2
148.5 123.5 98.5 3 1
148.0 123.0 2 98.0 11 1
147.5 122.5 97.5 2
147.0 122.0 1 97.0 5 3
146.5 121.5 96.5 2
146.0 121.0 96.0 11 4
145.5 120.5 95.5 5 3
145.0 120.0 95.0 9 3
144.5 119.5 3 2 94.5 5 6
144.0 119.0 94.0 1 2
143.5 118.5 1 93.5 10 5
143.0 118.0 1 93.0 1 1
142.5 117.5 92.5 10 8
142.0 117.0 1 92.0 2 1
141.5 116.5 91.5 7 3
141.0 116.0 2 91.0 5 7
140.5 115.5 90.5 1 4
140.0 115.0 90.0 8 15
139.5 114.5 1 89.5 7 2
139.0 114.0 89.0 19 6
138.5 113.5 3 1 88.5 2 6
138.0 113.0 88.0 5 3
137.5 112.5 1 87.5 8 4
137.0 112.0 87.0 1 1
136.5 111.5 86.5 10 12
136.0 111.0 1 1 86.0 4 4
135.5 110.5 85.5 11 5
135.0 110.0 6 2 85.0 6 4
134.5 109.5 1 84.5 7 3
134.0 109.0 1 1 84.0 7 7
133.5 2 108.5 3 2 83.5 5 3
133.0 108.0 1 83.0 18 10
132.5 1 107.5 2 1 82.5 3 7
132.0 107.0 82.0 14 1
131.5 106.5 2 81.5 11 6
131.0 106.0 1 81.0 4 1
130.5 105.5 1 2 80.5 7 11
130.0 105.0 2 1 80.0 8 6
129.5 104.5 4 1 79.5 10 8
129.0 104.0 9 2 79.0 10 10
128.5 2 103.5 1 78.5 1 3
128.0 103.0 6 2 78.0 10 8
127.5 102.5 1 77.5 7 2
127.0 102.0 4 77.0 12 5
126.5 101.5 2 76.5 3 6
126.0 101.0 1 76.0 6 8
125.5 100.5 4 5 75.5 5 7
American Mathematics Competitions
2005 AMC 10 B Results for Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 3 50.0 1 4 25.0
74.5 7 7 49.5 1 24.5
74.0 5 2 49.0 2 24.0 1 1
73.5 5 3 48.5 23.5
73.0 6 7 48.0 4 3 23.0
72.5 6 4 47.5 1 2 22.5
72.0 12 4 47.0 1 2 22.0
71.5 8 4 46.5 1 21.5
71.0 9 13 46.0 1 21.0
70.5 4 3 45.5 1 20.5
70.0 4 5 45.0 1 20.0
69.5 11 3 44.5 1 2 19.5
69.0 3 4 44.0 19.0
68.5 3 3 43.5 18.5
68.0 3 3 43.0 2 18.0
67.5 3 5 42.5 1 2 17.5
67.0 3 8 42.0 1 3 17.0
66.5 3 4 41.5 1 16.5
66.0 4 7 41.0 1 16.0
65.5 5 40.5 1 15.5
65.0 8 4 40.0 1 1 15.0
64.5 3 3 39.5 14.5
64.0 4 2 39.0 3 14.0
63.5 7 4 38.5 13.5
63.0 3 2 38.0 13.0
62.5 6 6 37.5 1 12.5
62.0 1 2 37.0 12.0
61.5 2 2 36.5 2 11.5
61.0 3 6 36.0 11.0
60.5 1 5 35.5 1 10.5
60.0 3 3 35.0 10.0
59.5 4 2 34.5 9.5
59.0 2 1 34.0 1 1 9.0
58.5 1 33.5 1 8.5
58.0 2 33.0 8.0
57.5 1 3 32.5 7.5
57.0 2 2 32.0 7.0
56.5 1 4 31.5 6.5
56.0 1 1 31.0 6.0
55.5 1 5 30.5 5.5
55.0 2 30.0 1 1 5.0
54.5 1 2 29.5 4.5
54.0 2 7 29.0 4.0
53.5 2 3 28.5 1 3.5
53.0 1 3 28.0 3.0
52.5 1 27.5 2.5
52.0 2 27.0 2.0
51.5 1 26.5 1 1.5
51.0 2 26.0 1.0
50.5 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Pennsylvania
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
133.5 2
132.5 1
128.5 1 1
125.0 1
123.0 2
122.0 1 1
119.5 5
118.5 1
118.0 1
117.0 1
116.0 2
115.5 1
114.5 1
113.5 1 2 2
112.5 1
111.0 2
110.0 3 5
109.5 1
109.0 1 1
108.5 1 2 2
108.0 1
107.5 1 3
106.5 1 2
106.0 1
105.5 3
105.0 4
104.5 2 3
104.0 1 5 5
103.5 1
103.0 5 3
102.5 1
102.0 1 3 1
101.5 2
101.0 1
100.5 3 6
100.0 1
99.5 4 4
99.0 1 1
98.5 4
98.0 2 10 1
97.5 1 1
97.0 2 6
96.5 2
96.0 4 11
95.5 2 6
95.0 4 8 1
94.5 3 8
94.0 3
93.5 5 10
93.0 3
92.5 6 13
92.0 1 3
91.5 4 6 1
91.0 3 9
90.5 1 4
90.0 10 13
89.5 3 6
89.0 10 15
88.5 1 7
88.0 2 6
87.5 4 9 2
87.0 2
86.5 8 16
86.0 5 5
85.5 6 11 1
85.0 3 8
84.5 7 3
84.0 8 6 1
83.5 8 1
83.0 13 17 1
82.5 6 4
82.0 10 5
81.5 3 14
81.0 2 3
80.5 12 7 1
80.0 5 9
79.5 7 11 1
79.0 4 17
78.5 3 3
78.0 7 11
77.5 2 7
77.0 11 6
76.5 3 6
76.0 6 11
75.5 7 6
75.0 1 6
74.5 9 8
74.0 3 5
73.5 5 3
73.0 7 6
72.5 6 4
72.0 6 10 2
71.5 5 7
71.0 13 10
70.5 2 5
70.0 5 4
69.5 7 9
69.0 4 3 1
68.5 4 3
68.0 3 3
67.5 4 5
67.0 8 4 2
66.5 4 4 1
66.0 4 7
65.5 3 3
65.0 8 4
64.5 2 4
64.0 6 1
63.5 4 7 1
63.0 3 2
62.5 6 6
62.0 1 3
61.5 3 2
61.0 5 4
60.5 1 5
60.0 3 4
59.5 3 3 1
59.0 3 1
58.5 1 1
58.0 3
57.5 1 3
57.0 3 1 1
56.5 3 2
56.0 2 1
55.5 4 2
55.0 1 1 1
54.5 2 1
54.0 4 6
53.5 1 5
53.0 2 1 1
52.5 1
52.0 1 1
51.5 2 1
51.0 3
50.5 2
50.0 4 1
49.5 1
49.0 2
48.0 6 1
47.5 3
47.0 3
46.5 1
46.0 1
45.5 1
45.0 1
44.5 3
43.0 2
42.5 1 2
42.0 4 1
41.5 1
41.0 1
40.5 1
40.0 2
39.0 1 2
37.5 1
36.5 2
35.5 1
34.0 2
33.5 1
30.0 1 1
28.5 1
26.5 1
24.5 1
24.0 1 1
American Mathematics Competitions
2005 AMC 10 B Results for Pennsylvania
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 8.72* 0.35 0.39 0.19 0.29 0.05 0.00
2 0.13 0.18 0.11 8.63* 0.32 0.64 0.00
3 0.07 0.67 1.57 6.31* 0.92 0.45 0.00
4 0.97 0.09 0.53 4.84* 0.31 3.26 0.00
5 0.12 0.06 8.93* 0.11 0.27 0.50 0.00
6 0.08 8.59* 0.20 0.25 0.21 0.67 0.00
7 0.81 1.23* 0.42 0.96 0.57 5.99 0.00
8 5.74* 0.13 0.97 0.08 0.07 3.01 0.00
9 0.47 0.59 1.77 5.16* 0.68 1.33 0.00
10 1.54* 0.85 0.48 0.21 0.19 6.73 0.00
11 0.33 0.60 0.17 1.95 1.96* 5.00 0.00
12 0.54 1.29 0.28 0.33 0.28* 7.28 0.00
13 0.41 0.52 1.81* 1.64 0.47 5.15 0.00
14 0.44 0.31 1.56* 2.33 0.46 4.90 0.00
15 1.12 0.66 0.72 4.31* 0.60 2.59 0.00
16 0.37 0.63 0.59 0.27* 0.09 8.05 0.00
17 0.57 2.32* 0.87 0.37 0.13 5.75 0.00
18 0.42 4.83 0.94 2.12* 0.45 1.25 0.00
19 0.37 5.88* 0.49 0.50 0.46 2.30 0.00
20 0.50 0.49 0.99* 0.37 0.29 7.36 0.00
21 0.27* 0.32 0.22 0.21 0.21 8.76 0.00
22 0.52 1.02 0.33* 0.25 0.28 7.60 0.00
23 3.09 0.36 0.48* 0.18 0.18 5.72 0.00
24 0.31 0.17 0.17 0.30 1.24* 7.82 0.00
25 0.33 0.23 3.16* 0.20 0.21 5.87 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2005 AMC 12 B Results for Pennsylvania
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 14 5
149.0 124.0 99.0
148.5 123.5 98.5 17 16
148.0 123.0 98.0 3
147.5 122.5 97.5 4 2
147.0 122.0 1 97.0 6 4
146.5 121.5 96.5
146.0 121.0 96.0 21 11
145.5 120.5 95.5 1
145.0 120.0 1 95.0 39 18
144.5 119.5 1 94.5 3 2
144.0 119.0 94.0 3
143.5 118.5 1 93.5 12 10
143.0 118.0 2 93.0 1
142.5 117.5 92.5 32 18
142.0 117.0 92.0 2 1
141.5 116.5 91.5 10 10
141.0 116.0 2 91.0 10 4
140.5 115.5 90.5 3 3
140.0 115.0 1 1 90.0 17 20
139.5 1 114.5 89.5 2 1
139.0 114.0 89.0 47 17
138.5 113.5 5 88.5 4 1
138.0 113.0 88.0 7 7
137.5 112.5 3 87.5 11 10
137.0 112.0 2 87.0 4 5
136.5 111.5 8 86.5 35 15
136.0 111.0 2 86.0 1 5
135.5 110.5 85.5 17 15
135.0 110.0 3 85.0 6 5
134.5 109.5 1 84.5 12 7
134.0 109.0 5 3 84.0 20 19
133.5 2 108.5 2 83.5 3 1
133.0 108.0 10 3 83.0 53 33
132.5 107.5 82.5 7 2
132.0 107.0 82.0 10 17
131.5 106.5 4 1 81.5 8 10
131.0 106.0 81.0 3 6
130.5 105.5 6 5 80.5 27 16
130.0 1 105.0 1 80.0 1 3
129.5 104.5 16 2 79.5 15 17
129.0 104.0 3 79.0 3 3
128.5 103.5 78.5 6 12
128.0 103.0 9 4 78.0 10 9
127.5 2 102.5 77.5 5 7
127.0 102.0 21 4 77.0 26 20
126.5 101.5 4 1 76.5 4 3
126.0 1 101.0 21 11 76.0 5 17
125.5 1 100.5 6 1 75.5 5 6
American Mathematics Competitions
2005 AMC 12 B Results for Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 7 50.0 25.0
74.5 5 5 49.5 1 2 24.5
74.0 5 3 49.0 24.0 1
73.5 8 9 48.5 23.5
73.0 7 3 48.0 4 2 23.0
72.5 6 9 47.5 1 22.5
72.0 8 5 47.0 1 1 22.0
71.5 6 4 46.5 1 21.5
71.0 9 11 46.0 1 2 21.0
70.5 2 2 45.5 20.5
70.0 8 5 45.0 1 1 20.0
69.5 5 6 44.5 19.5
69.0 3 4 44.0 1 19.0
68.5 5 7 43.5 18.5
68.0 4 3 43.0 1 18.0
67.5 6 6 42.5 2 17.5 1
67.0 4 2 42.0 1 17.0 1
66.5 3 3 41.5 16.5
66.0 7 1 41.0 16.0
65.5 1 5 40.5 15.5
65.0 7 6 40.0 1 15.0
64.5 5 6 39.5 14.5
64.0 3 2 39.0 14.0
63.5 1 38.5 3 13.5
63.0 1 4 38.0 1 13.0
62.5 37.5 12.5
62.0 4 3 37.0 1 12.0
61.5 3 36.5 11.5
61.0 3 5 36.0 1 2 11.0
60.5 1 35.5 10.5
60.0 4 4 35.0 1 10.0
59.5 1 2 34.5 9.5
59.0 4 2 34.0 9.0
58.5 1 1 33.5 8.5
58.0 2 33.0 8.0
57.5 1 1 32.5 7.5
57.0 1 2 32.0 7.0
56.5 1 1 31.5 6.5
56.0 2 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 1 1 5.0
54.5 2 29.5 4.5
54.0 1 8 29.0 4.0
53.5 1 28.5 3.5
53.0 1 28.0 1 3.0
52.5 1 27.5 2.5
52.0 1 2 27.0 2.0
51.5 26.5 1 1.5
51.0 1 26.0 1.0
50.5 2 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Pennsylvania
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
139.5 1
133.5 1 1
130.0 1
127.5 1 1
126.0 1
125.5 1
122.0 1
120.0 1
119.5 1
118.5 1
118.0 1 1
116.0 2
115.0 1 1
113.5 2 3
112.5 1 2
112.0 1 1
111.5 1 3 4 1
111.0 1 1
110.0 2 1
109.5 1
109.0 4 4
108.5 1 1
108.0 2 1 10
106.5 5
106.0 1
105.5 6 6
105.0 1
104.5 1 9 8
104.0 1 2
103.0 5 10
102.0 9 16
101.5 2 2 1
101.0 1 12 18 2
100.5 1 5 1
99.5 1 2 5 11
98.5 1 17 14 1
98.0 1 2
97.5 2 4
97.0 6 5
96.0 1 19 13 1
95.5 1
95.0 4 29 24
94.5 5
94.0 1 2
93.5 1 1 13 9
93.0 1
92.5 22 30
92.0 1 1 2
91.5 2 7 11
91.0 5 9
90.5 1 4 1
90.0 1 17 20
89.5 1 2 1
89.0 6 34 28
88.5 3 2 1
88.0 1 8 6
87.5 10 11 2
87.0 6 4
86.5 1 27 25 1
86.0 5 1
85.5 21 12
85.0 1 7 3
84.5 1 10 9
84.0 3 19 19
83.5 3 1
83.0 9 43 35 1
82.5 1 4 4
82.0 1 5 11 10
81.5 2 11 4 1
81.0 1 3 5
80.5 2 17 24
80.0 2 2 1
79.5 1 16 16 1
79.0 1 4 1
78.5 9 9
78.0 3 10 7
77.5 3 5 4
77.0 6 26 16
76.5 3 4
76.0 2 10 9 2
75.5 5 6
75.0 1 3 5
74.5 2 5 4
74.0 2 6
73.5 1 11 7
73.0 3 3 4
72.5 1 5 9
72.0 1 6 5 1
71.5 2 4 4 1
71.0 2 9 10
70.5 1 2 1
70.0 1 7 4 1
69.5 1 7 3
69.0 1 3 3
68.5 3 6 4
68.0 1 2 5
67.5 3 5 4
67.0 4 3
66.5 4 2
66.0 1 4 3
65.5 1 4 1
65.0 9 5
64.5 1 4 6
64.0 3 2
63.5 1
63.0 1 3 1
62.5 1
62.0 4 3
61.5 2 1
61.0 2 3 3
60.5 1
60.0 1 4 2 1
59.5 2 1
59.0 2 2 2
58.5 2
58.0 1 1
57.5 1 2
57.0 3
56.5 1 1
56.0 2
55.0 1
54.5 2 1
54.0 1 1 3 4
53.5 1
53.0 1
52.5 1
52.0 1 1 1 1
51.0 1
50.5 3 2
49.5 1 1 1
48.0 1 3 2
47.5 1
47.0 1 1 1
46.5 1
46.0 2 1
45.0 1 1
44.5 1
44.0 1
43.0 1
42.5 2
42.0 1
40.0 1
38.5 1 2
38.0 1
37.5 1
37.0 1
36.0 1 1 1
35.0 1
30.0 1 1
28.0 1
26.5 1
24.0 1
17.5 1
17.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Pennsylvania
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.39* 0.17 0.20 0.06 0.15 0.03 0.00
2 0.10 0.10 0.12 9.40* 0.11 0.18 0.00
3 0.06 0.05 9.19* 0.14 0.25 0.31 0.00
4 0.08 9.17* 0.15 0.17 0.17 0.26 0.00
5 7.97* 0.10 0.73 0.02 0.04 1.15 0.00
6 2.96* 0.83 0.65 0.35 0.36 4.84 0.00
7 0.96 1.37 0.26 2.23* 0.49 4.68 0.00
8 1.00 1.60 4.40* 0.06 1.04 1.90 0.00
9 0.42 7.81* 0.29 0.35 0.28 0.85 0.00
10 0.14 0.54 0.16 2.17 3.82* 3.17 0.01
11 1.16 1.06 0.73 4.42* 0.36 2.26 0.00
12 0.28 0.56 0.61 0.70* 0.01 7.84 0.00
13 0.41 0.22 0.22 1.36* 0.23 7.56 0.00
14 0.63 0.93 0.62 0.38 0.97* 6.47 0.01
15 0.51 0.22 0.33 5.44* 0.44 3.05 0.01
16 0.26 0.14 0.66 0.42* 0.17 8.36 0.00
17 0.23 0.44* 0.21 0.08 0.55 8.49 0.00
18 1.15 0.58 0.38* 0.19 0.29 7.40 0.00
19 0.26 0.22 0.20 0.21 2.27* 6.83 0.00
20 0.12 0.23 4.38* 0.68 1.85 2.74 0.00
21 0.19 0.22 0.23* 0.28 0.17 8.91 0.00
22 0.28 0.68 0.13 0.11 0.10* 8.71 0.00
23 0.07 0.18* 0.09 0.10 0.08 9.49 0.00
24 0.24* 0.19 0.22 0.26 0.17 8.92 0.00
25 0.23* 0.19 0.13 0.22 0.31 8.92 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column