American Mathematics Competitions
2005 AMC 10 A Results for New Jersery
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2250
Number of unofficial participants: 9
Average score of participants: 77.3
Average score for female students is: 74.5 ( 955 Students)
Average score for male students is: 80.2 ( 1169 Students)
Average score for unspecified gender is 72.1 ( 126 Students)
Average score for grade 10 is: 78.6 ( 1189 Students)
Average score for grade 9 is: 75.4 ( 958 Students)
Average score for grade 8 and below is: 85.9 ( 65 Students)
Average score with unknown grade: 69.3 ( 38 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 49
Number of schools returning results 78
Average school winning score 107.67
American Mathematics Competitions
2005 AMC 12 A Results for New Jersery
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3203
Number of unofficial participants: 73
Average score of participants: 83.0
Average score for female students is: 78.4 ( 1236 Students)
Average score for male students is: 86.1 ( 1829 Students)
Average score for unspecified gender is 82.6 ( 138 Students)
Average score for grade 12 is: 86.0 ( 1252 Students)
Average score for grade 11 is: 81.7 ( 1469 Students)
Average score for grade 10 is: 82.5 ( 317 Students)
Average score for grade 9 is: 68.1 ( 128 Students)
Average score for grade 8 and below is: 82.2 ( 5 Students)
Average score with unknown grade: 87.3 ( 32 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 530
Number of schools returning results 96
Average school winning score 113.42
Average school team score 315.13
American Mathematics Competitions
2005 AMC 10 B Results for New Jersery
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1077
Number of unofficial participants: 0
Average score of participants: 79.4
Average score for female students is: 76.6 ( 469 Students)
Average score for male students is: 82.1 ( 540 Students)
Average score for unspecified gender is 76.0 ( 68 Students)
Average score for grade 10 is: 81.2 ( 579 Students)
Average score for grade 9 is: 78.7 ( 426 Students)
Average score for grade 8 and below is: 67.5 ( 59 Students)
Average score with unknown grade: 74.3 ( 13 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 21
Number of schools returning results 43
Average school winning score 108.26
American Mathematics Competitions
2005 AMC 12 B Results for New Jersery
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1626
Number of unofficial participants: 0
Average score of participants: 85.2
Average score for female students is: 82.1 ( 614 Students)
Average score for male students is: 87.4 ( 937 Students)
Average score for unspecified gender is 82.7 ( 75 Students)
Average score for grade 13 is: 93.3 ( 3 Students)
Average score for grade 12 is: 87.4 ( 648 Students)
Average score for grade 11 is: 83.2 ( 749 Students)
Average score for grade 10 is: 90.2 ( 142 Students)
Average score for grade 9 is: 84.6 ( 33 Students)
Average score for grade 8 and below is: 62.3 ( 26 Students)
Average score with unknown grade: 82.4 ( 25 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 259
Number of schools returning results 56
Average school winning score 109.80
Average school team score 307.46
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
430.0 1 1
423.0 1 2
395.0 1 3
387.5 1 4
379.5 1 5
378.0 1 6
377.5 1 7
375.0 1 8
374.5 1 9
373.0 1 10
371.5 1 11
367.5 1 12
367.0 2 13
365.5 1 15
362.5 1 16
362.0 2 17
361.0 1 19
359.5 1 20
359.0 1 21
358.5 1 22
357.5 1 23
356.5 1 24
355.5 1 25
355.0 1 26
352.5 2 27
351.5 1 1 29
350.0 2 31
346.0 1 33
343.5 1 34
342.5 1 35
341.5 2 36
341.0 1 38
339.0 1 39
338.5 1 40
338.0 1 41
336.0 1 42
333.5 1 43
332.5 1 44
332.0 1 45
330.5 2 2 46
329.5 1 1 50
328.5 2 1 52
327.0 1 55
326.0 1 56
325.5 1 57
325.0 1 58
324.5 1 59
323.5 1 1 60
322.5 4 2 62
322.0 1 68
321.5 1 69
321.0 1 70
320.0 1 71
319.0 1 72
318.0 1 73
317.5 1 74
316.5 2 75
315.5 1 77
315.0 1 78
314.0 1 1 79
313.0 1 81
312.0 1 1 82
311.0 1 84
310.5 1 85
310.0 1 86
309.5 1 87
309.0 1 1 88
308.5 1 90
307.5 2 2 91
307.0 1 95
306.5 1 96
305.0 1 97
304.5 1 1 98
302.0 1 2 100
301.5 1 1 103
300.0 1 105
299.0 2 106
298.5 2 108
296.5 1 110
295.0 1 111
294.0 2 112
293.5 1 114
292.0 1 115
291.0 1 1 116
289.5 2 118
287.5 1 120
283.5 2 121
282.0 1 123
278.5 1 124
277.0 1 125
276.0 1 126
275.0 1 127
274.0 1 2 128
272.0 1 131
271.5 1 132
270.0 1 133
269.5 1 134
268.5 1 135
268.0 1 136
267.0 2 137
266.5 1 139
264.5 1 140
264.0 1 141
258.5 1 142
255.0 1 143
250.5 1 144
240.5 1 145
232.5 1 146
223.0 1 147
185.0 1 148
176.0 1 149
131.0 1 150
116.0 1 151
96.0 1 152
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 1
146.5 1
144.0 2 1
143.0 1 1
140.5 2 1
139.5 4 1 1
138.0 2 1 2
137.0 1 1
136.0 3
134.5 1 1
133.5 3 2 1
132.5 1
132.0 2 2 1
131.0 2 1 4 1
130.0 3 1 1 1
129.0 3 2
128.5 2
127.5 1 3 4 1
126.5 2 4 2
126.0 1 1 2
125.5 3 2 1
125.0 2 2 6
124.0 1 2 4 1
123.0 2 1 4 3
122.5 1 1
122.0 7
121.5 1 3
120.5 4 2 6 1
120.0 1
119.5 5 4 2 4
119.0 1
118.5 12 4 1 2
118.0 5 2 5 1
117.0 4 6 5 4
116.0 19 5 7 5
115.5 2 1 3
115.0 12 3 1 1
114.5 2 9 1
114.0 1
113.5 12 3 4 10
113.0 1
112.5 19 10 4 5
112.0 3 6 3
111.5 20 9 1
111.0 4 4 13 12
110.5 2
110.0 13 4 12 5
109.5 1 1 6
109.0 20 16 5 4
108.5 1 6 3
108.0 29 12 2 1
107.5 9 9 3
107.0 1
106.5 16 11 11 5
106.0 1 4 2
105.5 31 21 6 4
105.0 2 1 7 3
104.5 49 14 3 1
104.0 5 8 17 7
103.5 1
103.0 21 17 17 8
102.5 3 2 4
102.0 64 30 10 8
101.5 7 6 12 7
101.0 72 26 2 1
100.5 17 14 20 5
100.0 1 8 3
99.5 26 23 11 8
99.0 2 2 8 8
98.5 57 35 9 7
98.0 10 4 15 9
97.5 16 8 9
97.0 26 15 22 5
96.5 1 2 3 3
96.0 63 52 12 7
95.5 10 2 11 5
95.0 111 47 7 6
94.5 21 13 14 10
94.0 13 12 8 4
93.5 32 29 22 14
93.0 3 12 3
92.5 56 43 18 14
92.0 6 12 12 8
91.5 34 25 13 7
91.0 38 16 20 9
90.5 20 7 5 4
90.0 62 41 24 18
89.5 10 6 17 7
89.0 99 55 21 10
88.5 17 8 26 6
88.0 36 20 15 1
87.5 34 16 17 18
87.0 20 10 13 4
86.5 48 46 24 17
86.0 6 6 28 14
85.5 56 28 21 6
85.0 24 26 24 6
84.5 37 16 23 12
84.0 45 32 35 20
83.5 18 3 11 8
83.0 86 50 34 24
82.5 14 11 16 11
82.0 39 20 25 21
81.5 34 25 24 16
81.0 30 13 19 9
80.5 53 26 38 18
80.0 16 8 26 10
79.5 49 17 21 16
79.0 22 11 29 14
78.5 41 13 22 16
78.0 40 22 41 10
77.5 26 14 21 14
77.0 53 24 19 16
76.5 16 14 22 8
76.0 52 18 32 12
75.5 16 28 20 14
75.0 45 18 26 4
74.5 29 19 28 13
74.0 25 14 16 13
73.5 36 18 37 11
73.0 21 14 15 7
72.5 32 7 26 13
72.0 39 15 28 15
71.5 26 5 20 5
71.0 50 15 20 12
70.5 23 5 11 8
70.0 39 10 26 11
69.5 24 8 21 19
69.0 23 7 19 3
68.5 32 14 31 15
68.0 20 8 24 9
67.5 19 8 28 10
67.0 15 8 18 11
66.5 31 4 27 6
66.0 29 26 34 15
65.5 19 2 20 5
65.0 21 7 23 9
64.5 6 5 10 8
64.0 12 3 22 6
63.5 19 7 16 6
63.0 13 2 13 6
62.5 22 11 17 10
62.0 15 4 15 6
61.5 15 5 21 7
61.0 17 5 14 8
60.5 13 5 8 7
60.0 21 9 31 16
59.5 9 3 11 8
59.0 14 4 11 2
58.5 10 6 10 3
58.0 11 4 10 4
57.5 10 2 10 4
57.0 5 4 11 6
56.5 13 2 16 4
56.0 9 5 9 2
55.5 4 3 5 2
55.0 9 2 8 5
54.5 8 1 6 2
54.0 17 15 22 8
53.5 9 2 9
53.0 9 4 5 6
52.5 4 1 8 3
52.0 3 3 5 5
51.5 6 2 10 2
51.0 3 1 7 4
50.5 4 3 10 1
50.0 9 4 8 3
49.5 4 1 4 1
49.0 5 9 3
48.5 6 1 7 2
48.0 11 5 17 7
47.5 1 6 2
47.0 6 2 6 1
46.5 3 4 1
46.0 5 1 5
45.5 2 8 1
45.0 1 2 1
44.5 5 3 2 3
44.0 3 5
43.5 2 4
43.0 1 1 3
42.5 1 5 2
42.0 11 5 18 8
41.5 5 1 7
41.0 3 1 3 1
40.5 1 2 3
40.0 7
39.5 2
39.0 3 2
38.5 1 4 3
38.0 1 1
37.5 1 1
36.5 1 2
36.0 8 3 7 5
35.5 1
35.0 2 1 3
34.0 1 3 1
33.5 1
33.0 1 1
32.5 2 1 1
31.5 1 3
30.5 2 1
30.0 8 10 5
29.5 1
29.0 1 1
28.5 1
28.0 1 1
27.0 1 1
26.5 1 1
24.5 1
24.0 6 2 6 2
22.5 1
20.5 1
18.0 1 1
12.0 2 1
6.0 1
American Mathematics Competitions
2005 AMC 10 A Results for New Jersery
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 6 100.0 5 2
149.5 124.5 99.5 9 1
149.0 124.0 2 2 99.0 5 3
148.5 123.5 98.5 6 3
148.0 123.0 2 2 98.0 10 5
147.5 122.5 1 97.5 5 2
147.0 122.0 97.0 15 7
146.5 121.5 2 1 96.5 2 1
146.0 121.0 96.0 7 5
145.5 120.5 4 2 95.5 7 4
145.0 120.0 95.0 4 3
144.5 119.5 1 1 94.5 9 5
144.0 1 119.0 1 94.0 6 2
143.5 118.5 1 93.5 10 11
143.0 118.0 3 2 93.0 8 4
142.5 117.5 92.5 10 7
142.0 117.0 2 3 92.0 8 4
141.5 116.5 91.5 7 5
141.0 116.0 6 1 91.0 13 5
140.5 115.5 2 1 90.5 2 3
140.0 115.0 1 90.0 14 9
139.5 114.5 5 4 89.5 8 9
139.0 114.0 1 89.0 16 5
138.5 113.5 4 88.5 17 7
138.0 1 113.0 1 88.0 12 3
137.5 112.5 4 87.5 10 7
137.0 112.0 5 1 87.0 10 2
136.5 111.5 1 86.5 11 13
136.0 111.0 7 6 86.0 17 11
135.5 110.5 1 1 85.5 12 9
135.0 110.0 10 2 85.0 14 10
134.5 1 109.5 2 4 84.5 14 9
134.0 109.0 5 84.0 14 18
133.5 108.5 6 83.5 6 3
133.0 108.0 2 83.0 20 13
132.5 107.5 5 2 82.5 9 5
132.0 1 1 107.0 1 82.0 12 12
131.5 106.5 4 6 81.5 19 5
131.0 4 106.0 2 1 81.0 12 6
130.5 105.5 4 2 80.5 17 20
130.0 1 105.0 5 1 80.0 11 13
129.5 104.5 2 1 79.5 9 10
129.0 2 104.0 12 4 79.0 17 10
128.5 1 103.5 1 78.5 13 9
128.0 103.0 11 5 78.0 21 17
127.5 3 1 102.5 4 77.5 7 13
127.0 102.0 6 4 77.0 9 8
126.5 2 1 101.5 9 2 76.5 11 9
126.0 2 101.0 1 76.0 13 18
125.5 100.5 11 8 75.5 10 10
American Mathematics Competitions
2005 AMC 10 A Results for New Jersery
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 13 10 50.0 3 4 25.0
74.5 11 17 49.5 2 2 24.5 1
74.0 10 6 49.0 5 4 24.0 4 1
73.5 17 19 48.5 2 4 23.5
73.0 9 4 48.0 10 6 23.0
72.5 10 14 47.5 1 3 22.5
72.0 16 9 47.0 2 4 22.0
71.5 7 11 46.5 2 1 21.5
71.0 9 10 46.0 1 3 21.0
70.5 3 6 45.5 5 3 20.5
70.0 8 14 45.0 1 1 20.0
69.5 8 12 44.5 1 19.5
69.0 12 7 44.0 2 3 19.0
68.5 16 15 43.5 1 3 18.5
68.0 9 12 43.0 18.0 1
67.5 12 12 42.5 2 3 17.5
67.0 9 9 42.0 13 5 17.0
66.5 9 16 41.5 3 4 16.5
66.0 17 14 41.0 1 16.0
65.5 10 10 40.5 2 15.5
65.0 6 15 40.0 4 3 15.0
64.5 4 5 39.5 1 1 14.5
64.0 14 6 39.0 1 2 14.0
63.5 11 5 38.5 2 2 13.5
63.0 5 5 38.0 13.0
62.5 5 11 37.5 12.5
62.0 6 9 37.0 12.0 1
61.5 10 10 36.5 2 11.5
61.0 5 7 36.0 2 4 11.0
60.5 4 4 35.5 10.5
60.0 13 16 35.0 2 1 10.0
59.5 7 4 34.5 9.5
59.0 4 6 34.0 1 2 9.0
58.5 5 4 33.5 8.5
58.0 7 3 33.0 8.0
57.5 8 2 32.5 1 7.5
57.0 3 8 32.0 7.0
56.5 6 10 31.5 2 6.5
56.0 3 5 31.0 6.0
55.5 2 3 30.5 1 1 5.5
55.0 4 3 30.0 7 2 5.0
54.5 2 4 29.5 1 4.5
54.0 10 9 29.0 1 4.0
53.5 3 6 28.5 3.5
53.0 2 3 28.0 1 3.0
52.5 7 27.5 2.5
52.0 2 3 27.0 1 2.0
51.5 4 5 26.5 1 1.5
51.0 2 4 26.0 1.0
50.5 3 5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for New Jersery
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
144.0 1
138.0 1
134.5 1
132.0 2
131.0 1 1 2
130.0 1
129.0 1 1
128.5 2
127.5 1 3
126.5 3 1
126.0 2
125.0 4 2
124.0 2 2
123.0 1 3
122.5 1
121.5 1 2
120.5 1 5
119.5 2
119.0 1
118.5 1
118.0 1 1 3
117.0 2 3
116.0 2 5
115.5 3
115.0 1
114.5 3 6
114.0 1
113.5 3 1
113.0 1
112.5 1 3
112.0 1 5
111.5 1
111.0 5 8
110.5 2
110.0 2 10
109.5 2 4
109.0 1 4
108.5 3 3
108.0 2
107.5 2 7
107.0 1
106.5 1 3 7
106.0 3 1
105.5 3 3
105.0 3 4
104.5 3
104.0 7 9 1
103.5 1
103.0 1 8 8
102.5 1 3
102.0 3 2 5
101.5 3 9
101.0 1 1
100.5 8 11 1
100.0 1 7
99.5 1 2 8
99.0 3 5
98.5 1 2 6
98.0 2 3 10
97.5 3 6
97.0 11 11
96.5 1 2
96.0 7 5
95.5 5 6
95.0 3 4
94.5 1 3 10
94.0 5 3
93.5 1 12 9
93.0 4 8
92.5 6 12
92.0 1 5 6
91.5 8 4 1
91.0 2 8 9 1
90.5 1 4
90.0 1 8 15
89.5 1 4 12
89.0 2 9 10
88.5 11 14 1
88.0 5 9 1
87.5 1 9 7
87.0 2 4 7
86.5 1 13 10
86.0 1 16 11
85.5 1 11 9
85.0 4 8 12
84.5 12 11
84.0 1 14 19 1
83.5 6 5
83.0 1 2 12 19
82.5 2 6 8
82.0 1 14 10
81.5 2 6 16
81.0 9 9 1
80.5 1 17 19 1
80.0 1 11 13 1
79.5 1 10 10
79.0 1 1 12 14 1
78.5 1 12 9
78.0 1 13 25 2
77.5 9 12
77.0 10 7 2
76.5 9 13
76.0 1 10 21
75.5 7 13
75.0 12 13 1
74.5 1 11 16
74.0 7 9
73.5 18 19
73.0 1 4 9 1
72.5 9 17
72.0 15 12 1
71.5 10 10
71.0 1 11 7 1
70.5 4 6 1
70.0 1 15 10
69.5 1 11 9
69.0 8 11
68.5 16 15
68.0 6 18
67.5 13 14 1
67.0 8 10
66.5 12 15
66.0 1 16 16 1
65.5 12 8
65.0 14 9
64.5 1 5 4
64.0 1 9 12
63.5 10 6
63.0 5 5 3
62.5 7 10
62.0 1 6 8
61.5 13 7 1
61.0 4 9 1
60.5 2 6
60.0 14 17
59.5 3 8
59.0 5 6
58.5 1 3 5 1
58.0 5 5
57.5 3 7
57.0 9 2
56.5 11 5
56.0 1 2 6
55.5 4 1
55.0 1 3 4
54.5 3 3
54.0 1 11 10
53.5 2 6 1
53.0 3 2
52.5 4 4
52.0 1 4
51.5 6 4
51.0 3 3 1
50.5 6 3 1
50.0 2 5 1
49.5 1 3
49.0 2 7
48.5 2 5
48.0 11 6
47.5 1 5
47.0 3 3
46.5 2 2
46.0 3 1 1
45.5 5 3
45.0 2
44.5 1 1
44.0 1 4
43.5 1 3
43.0 1
42.5 3 2
42.0 9 9
41.5 3 4
41.0 3
40.5 1 1
40.0 2 5
39.5 1 1
39.0 2 1
38.5 3 1
38.0 1
36.5 2
36.0 3 4
35.0 1 2
34.0 2 1
32.5 1
31.5 1 1 1
30.5 1 1
30.0 5 5
29.5 1
29.0 1
28.0 1
27.0 1
26.5 1
24.5 1
24.0 4 2
18.0 1
12.0 1
American Mathematics Competitions
2005 AMC 10 A Results for New Jersery
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 0.21 0.11 0.26 9.00* 0.29 0.12 0.00
2 0.12 0.14 6.92* 0.09 1.40 1.32 0.00
3 0.04 9.12* 0.23 0.40 0.04 0.18 0.00
4 0.50 2.51* 1.87 0.54 0.63 3.96 0.00
5 6.58* 0.42 2.73 0.08 0.08 0.11 0.00
6 0.24 6.33* 2.39 0.14 0.07 0.83 0.00
7 0.77 4.66* 0.30 0.37 0.76 3.14 0.00
8 1.13 0.38 4.80* 0.14 0.18 3.37 0.00
9 1.28 6.10* 0.92 0.24 0.15 1.32 0.00
10 2.69* 0.50 1.19 0.45 0.16 5.01 0.00
11 0.40 2.64* 0.32 0.92 0.14 5.58 0.00
12 0.41 1.58* 0.80 0.33 0.71 6.16 0.00
13 1.65 0.61 0.43 0.37 1.47* 5.48 0.00
14 1.13 0.64 0.48 0.56 3.05* 4.12 0.00
15 0.57 0.91 0.99 1.46 1.19* 4.88 0.00
16 0.69 0.36 0.95 2.94* 0.16 4.90 0.00
17 0.27 0.36 0.60 2.63* 0.55 5.60 0.00
18 1.32* 2.34 0.98 3.42 0.23 1.72 0.00
19 0.37 0.81 0.80 3.95* 0.59 3.47 0.01
20 0.85* 0.52 0.72 0.48 0.36 7.06 0.00
21 1.64 0.95* 0.40 0.35 0.72 5.95 0.00
22 1.06 0.59 0.29 3.17* 0.60 4.28 0.00
23 0.24 0.62 1.48* 1.05 0.90 5.72 0.00
24 1.10 1.02* 0.47 0.15 0.12 7.14 0.00
25 0.38 0.78 0.85 1.00* 0.15 6.84 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 New Jersery
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 2 100.0 1
149.5 124.5 99.5 15 8
149.0 124.0 1 99.0 1 1
148.5 123.5 98.5 32 21
148.0 123.0 1 98.0 8 2
147.5 122.5 97.5 8 8
147.0 122.0 5 1 97.0 19 6
146.5 121.5 1 96.5 1
146.0 121.0 96.0 38 21
145.5 120.5 3 1 95.5 7 1
145.0 120.0 95.0 77 31
144.5 119.5 3 2 94.5 16 4
144.0 2 119.0 94.0 6 7
143.5 118.5 10 2 93.5 17 14
143.0 1 118.0 5 93.0
142.5 117.5 92.5 39 13
142.0 117.0 4 92.0 3 3
141.5 116.5 91.5 19 12
141.0 116.0 16 3 91.0 24 14
140.5 2 115.5 1 1 90.5 12 7
140.0 115.0 9 3 90.0 42 18
139.5 4 114.5 1 1 89.5 7 3
139.0 114.0 89.0 63 31
138.5 113.5 11 1 88.5 10 6
138.0 2 113.0 88.0 22 13
137.5 112.5 16 3 87.5 24 8
137.0 1 112.0 87.0 11 8
136.5 111.5 16 3 86.5 32 15
136.0 3 111.0 3 1 86.0 3 3
135.5 110.5 85.5 30 25
135.0 110.0 10 3 85.0 16 8
134.5 109.5 1 84.5 17 18
134.0 109.0 13 7 84.0 27 17
133.5 3 108.5 1 83.5 10 7
133.0 108.0 23 5 83.0 47 36
132.5 107.5 7 2 82.5 11 3
132.0 2 107.0 82.0 19 18
131.5 106.5 9 7 81.5 23 9
131.0 1 106.0 1 81.0 10 19
130.5 105.5 21 8 80.5 29 22
130.0 3 105.0 1 1 80.0 10 6
129.5 104.5 32 15 79.5 26 20
129.0 2 1 104.0 4 1 79.0 11 10
128.5 103.5 78.5 25 13
128.0 103.0 14 6 78.0 22 17
127.5 1 102.5 3 77.5 10 14
127.0 102.0 44 19 77.0 34 16
126.5 1 101.5 6 1 76.5 11 5
126.0 1 101.0 49 17 76.0 32 19
125.5 1 1 100.5 13 2 75.5 11 4
American Mathematics Competitions
2005 AMC 12 A Results for New Jersery
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 14 29 50.0 4 5 25.0
74.5 16 11 49.5 2 2 24.5
74.0 11 13 49.0 2 3 24.0 2 2
73.5 10 24 48.5 4 2 23.5
73.0 12 7 48.0 6 4 23.0
72.5 20 11 47.5 1 22.5 1
72.0 16 19 47.0 4 1 22.0
71.5 11 14 46.5 2 1 21.5
71.0 29 19 46.0 2 3 21.0
70.5 10 12 45.5 2 20.5 1
70.0 21 17 45.0 1 20.0
69.5 8 15 44.5 3 2 19.5
69.0 10 13 44.0 3 19.0
68.5 14 18 43.5 2 18.5
68.0 9 11 43.0 1 18.0 1
67.5 8 9 42.5 17.5
67.0 3 10 42.0 4 7 17.0
66.5 19 11 41.5 3 2 16.5
66.0 11 16 41.0 2 1 16.0
65.5 9 9 40.5 1 15.5
65.0 6 15 40.0 15.0
64.5 2 4 39.5 14.5
64.0 4 7 39.0 14.0
63.5 8 10 38.5 13.5
63.0 6 7 38.0 13.0
62.5 10 10 37.5 1 12.5
62.0 6 6 37.0 12.0 1 1
61.5 6 9 36.5 1 11.5
61.0 9 8 36.0 2 5 11.0
60.5 6 7 35.5 1 10.5
60.0 15 5 35.0 2 10.0
59.5 5 4 34.5 9.5
59.0 5 8 34.0 1 9.0
58.5 3 6 33.5 8.5
58.0 4 7 33.0 1 8.0
57.5 1 9 32.5 2 7.5
57.0 3 2 32.0 7.0
56.5 8 4 31.5 6.5
56.0 3 6 31.0 6.0 1
55.5 1 3 30.5 5.5
55.0 6 3 30.0 5 3 5.0
54.5 3 5 29.5 4.5
54.0 5 10 29.0 4.0
53.5 4 5 28.5 1 3.5
53.0 5 4 28.0 3.0
52.5 2 2 27.5 2.5
52.0 1 2 27.0 1 2.0
51.5 6 26.5 1 1.5
51.0 2 1 26.0 1.0
50.5 1 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for New Jersery
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
144.0 2
143.0 1
140.5 1 1
139.5 1 1 2
138.0 2
137.0 1
136.0 3
133.5 1 1 1
132.0 1 1
131.0 1 1
130.0 3
129.0 1 2
127.5 1
126.5 1 1
126.0 1
125.5 2 1
125.0 1 1
124.0 1
123.0 2
122.0 1 4 2
121.5 1
120.5 1 1 2
119.5 1 2 2
118.5 7 5
118.0 4 1
117.0 2 2
116.0 4 6 9
115.5 2
115.0 1 5 6
114.5 1 1
113.5 1 5 6
112.5 2 10 6 1
111.5 2 6 12
111.0 2 1 1
110.0 1 7 5
109.5 1
109.0 3 5 12
108.5 1
108.0 3 10 16
107.5 1 3 5
106.5 1 5 10
106.0 1
105.5 1 1 12 17
105.0 1 1
104.5 4 22 23
104.0 3 2
103.0 1 5 15
102.5 3
102.0 1 7 23 33
101.5 3 4
101.0 2 6 29 34 1
100.5 1 9 7
100.0 1
99.5 2 9 15
99.0 2
98.5 5 24 28
98.0 1 1 2 6
97.5 1 6 9
97.0 1 14 11
96.5 1
96.0 6 33 24
95.5 2 4 3 1
95.0 1 1 1 14 39 55
94.5 11 10
94.0 2 1 4 6
93.5 5 10 16 1
92.5 1 2 28 22 3
92.0 4 2
91.5 5 10 19
91.0 2 21 15
90.5 3 8 9
90.0 4 4 30 24
89.5 1 5 4
89.0 3 10 40 43 3
88.5 2 8 7
88.0 3 17 14 2
87.5 3 14 17
87.0 1 4 8 7
86.5 3 27 17 1
86.0 1 2 3
85.5 3 10 27 16
85.0 1 2 15 5 1
84.5 4 21 12
84.0 5 3 20 17
83.5 9 8 1
83.0 1 9 38 37 1
82.5 1 9 4
82.0 2 7 16 14
81.5 1 5 15 13
81.0 1 4 18 7
80.5 6 23 24
80.0 2 1 9 4
79.5 1 5 22 20 1
79.0 2 12 7 1
78.5 10 18 12 1
78.0 1 2 19 17 1
77.5 1 14 11
77.0 1 4 28 19 1
76.5 1 5 7 3
76.0 4 31 17
75.5 3 7 6
75.0 4 3 17 20 1
74.5 2 3 19 5
74.0 3 1 9 11 1
73.5 1 9 11 15
73.0 12 9
72.5 1 3 18 10
72.0 1 4 19 14 1
71.5 4 3 11 8
71.0 5 3 24 17 1
70.5 1 11 11
70.0 1 6 21 11
69.5 2 4 13 4 1
69.0 2 3 12 6
68.5 2 1 16 13
68.0 3 2 11 4
67.5 6 8 5
67.0 2 6 7
66.5 2 5 16 8
66.0 2 1 21 5
65.5 1 3 6 9
65.0 2 3 10 6
64.5 2 4
64.0 1 9 2
63.5 1 12 6
63.0 3 4 6
62.5 1 1 13 6 1
62.0 2 7 6
61.5 1 4 4 6
61.0 10 7
60.5 5 1 5 2
60.0 1 2 8 10
59.5 2 4 3
59.0 3 2 7 2
58.5 2 6 2
58.0 4 5 2
57.5 2 4 4
57.0 3 2
56.5 1 1 8 3
56.0 3 6
55.5 1 2 1
55.0 1 4 4
54.5 1 1 5 1
54.0 1 2 8 6
53.5 2 5 2
53.0 1 1 3 4
52.5 1 3
52.0 3
51.5 4 2
51.0 2 1
50.5 1 2 1
50.0 6 3
49.5 2 2
49.0 1 2 2
48.5 1 2 1 2
48.0 1 1 5 4
47.5 1
47.0 1 3 2
46.5 2 1
46.0 1 1 3
45.5 1 1
45.0 1
44.5 1 2 2
44.0 2 1
43.5 1 1
43.0 1
42.0 1 3 6 1
41.5 3 2
41.0 3
40.5 1
37.5 1
36.5 1
36.0 2 2 4
35.5 1
35.0 1 1
34.0 1
33.0 1
32.5 1 1
30.0 2 1 2 3
28.5 1
27.0 1
26.5 1
24.0 1 1 2 1 1
22.5 1
20.5 1
18.0 1
12.0 1 1
6.0 1
American Mathematics Competitions
2005 AMC 12 A Results for New Jersery
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 0.02 0.03 0.05 9.75* 0.08 0.07 0.00
2 0.01 9.52* 0.16 0.26 0.02 0.04 0.00
3 0.34 5.52* 0.90 0.39 0.43 2.40 0.01
4 7.65* 0.27 1.89 0.05 0.03 0.11 0.00
5 0.16 8.30* 0.96 0.08 0.03 0.46 0.00
6 0.52 5.96* 0.29 0.25 0.63 2.36 0.00
7 0.50 0.17 7.70* 0.10 0.09 1.45 0.00
8 0.42 0.47 0.38 2.94* 0.21 5.59 0.00
9 4.53* 0.46 1.01 0.30 0.12 3.58 0.00
10 0.38 3.77* 0.23 0.62 0.12 4.88 0.00
11 1.12 0.45 0.42 0.54 4.22* 3.25 0.00
12 1.08 0.30 0.25 4.01* 1.24 3.11 0.00
13 0.19 0.25 0.48 3.34* 0.37 5.37 0.00
14 0.34 0.45 3.24 1.37* 0.32 4.28 0.00
15 0.27 0.32 1.88* 0.92 0.76 5.85 0.00
16 0.27 0.41 1.07 0.66* 0.35 7.23 0.00
17 1.92* 0.73 1.12 0.39 0.36 5.49 0.00
18 0.37* 0.42 0.27 0.27 0.28 8.38 0.00
19 0.81 2.38* 0.98 0.45 0.67 4.70 0.01
20 0.33 0.17 0.26 0.18 0.29* 8.76 0.00
21 0.41 0.45 0.55* 0.18 0.07 8.34 0.00
22 0.38 0.66* 0.36 0.24 0.21 8.15 0.00
23 0.41 0.72* 0.26 0.27 0.57 7.78 0.00
24 0.10 0.19* 0.25 0.22 0.06 9.18 0.00
25 0.30 0.27 0.19* 0.18 0.13 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
American Mathematics Competitions
2005 AMC 10 B Results for New Jersery
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0 2
149.5 124.5 99.5 2 6
149.0 124.0 1 99.0 6 2
148.5 123.5 98.5 3 4
148.0 123.0 2 1 98.0 7 2
147.5 122.5 1 97.5
147.0 122.0 97.0 4 1
146.5 121.5 96.5 2 1
146.0 121.0 96.0 5 1
145.5 120.5 1 95.5 4 1
145.0 120.0 1 95.0 3 3
144.5 119.5 3 94.5 6 3
144.0 119.0 94.0 4
143.5 118.5 1 1 93.5 9 4
143.0 118.0 1 93.0 2 1
142.5 117.5 92.5 5 8
142.0 117.0 2 1 92.0 8
141.5 116.5 91.5 3 3
141.0 116.0 4 1 91.0 3 6
140.5 115.5 90.5 3 1
140.0 115.0 1 90.0 10 6
139.5 1 114.5 1 89.5 3 4
139.0 114.0 89.0 6 4
138.5 113.5 7 3 88.5 3 2
138.0 2 113.0 88.0 1
137.5 112.5 4 1 87.5 10 7
137.0 112.0 2 1 87.0 3
136.5 111.5 86.5 4 11
136.0 111.0 4 8 86.0 8 4
135.5 110.5 85.5 6
135.0 110.0 2 3 85.0 4 2
134.5 1 109.5 84.5 6 5
134.0 109.0 2 2 84.0 9 11
133.5 1 108.5 2 1 83.5 5 3
133.0 108.0 1 83.0 17 7
132.5 1 107.5 2 82.5 7 1
132.0 1 107.0 82.0 9 11
131.5 106.5 5 81.5 7 9
131.0 1 106.0 1 1 81.0 3 6
130.5 105.5 1 3 80.5 9 6
130.0 105.0 2 1 80.0 8 2
129.5 104.5 1 79.5 8 8
129.0 104.0 5 2 79.0 8 6
128.5 103.5 78.5 6 9
128.0 103.0 2 5 78.0 3 6
127.5 1 102.5 77.5 7 7
127.0 102.0 3 5 77.0 7 8
126.5 1 1 101.5 5 2 76.5 4 3
126.0 101.0 1 76.0 12
125.5 1 100.5 5 75.5 6 6
American Mathematics Competitions
2005 AMC 10 B Results for New Jersery
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 2 50.0 3 25.0
74.5 6 6 49.5 24.5
74.0 4 8 49.0 1 2 24.0 2
73.5 4 5 48.5 1 23.5
73.0 5 2 48.0 3 4 23.0
72.5 6 7 47.5 1 1 22.5
72.0 6 7 47.0 1 22.0
71.5 1 4 46.5 1 21.5
71.0 9 2 46.0 21.0
70.5 3 5 45.5 1 20.5
70.0 5 5 45.0 1 20.0
69.5 14 5 44.5 2 19.5
69.0 1 2 44.0 19.0
68.5 8 4 43.5 18.5
68.0 5 3 43.0 2 1 18.0
67.5 3 7 42.5 1 1 17.5
67.0 5 3 42.0 4 4 17.0
66.5 4 1 41.5 16.5
66.0 7 7 41.0 1 16.0
65.5 2 2 40.5 3 15.5
65.0 6 3 40.0 15.0
64.5 6 2 39.5 14.5
64.0 3 3 39.0 1 14.0
63.5 3 3 38.5 2 13.5
63.0 3 3 38.0 1 13.0
62.5 4 6 37.5 1 12.5
62.0 1 4 37.0 12.0
61.5 3 1 36.5 11.5
61.0 4 4 36.0 2 3 11.0
60.5 2 4 35.5 10.5
60.0 15 35.0 10.0
59.5 2 5 34.5 9.5
59.0 2 34.0 1 9.0
58.5 3 33.5 1 8.5
58.0 1 2 33.0 1 8.0
57.5 1 2 32.5 7.5
57.0 1 5 32.0 7.0
56.5 1 3 31.5 6.5
56.0 2 31.0 6.0
55.5 1 1 30.5 1 5.5
55.0 3 2 30.0 3 2 5.0
54.5 2 29.5 4.5
54.0 4 3 29.0 4.0
53.5 28.5 3.5
53.0 2 4 28.0 1 3.0
52.5 1 2 27.5 2.5
52.0 3 2 27.0 2.0
51.5 1 26.5 1.5
51.0 1 3 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for New Jersery
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
139.5 1
138.0 1 1
134.5 1
133.5 1
132.5 1
132.0 1
131.0 1
130.0 1
127.5 1
126.5 2
125.5 1
124.0 1
123.0 1 2
122.5 1
120.5 1
120.0 1
119.5 3 1
118.5 1 1
118.0 1
117.0 1 2 1
116.0 5
115.0 1
114.5 1
113.5 2 8
112.5 2 3
112.0 1 2
111.0 1 3 8
110.0 3 2
109.0 1 1 2
108.5 1 2
108.0 1
107.5 1 2
106.5 2 3
106.0 1 1
105.5 2 2
105.0 3
104.5 1
104.0 7
103.0 4 4
102.0 3 5
101.5 4 3
101.0 1
100.5 1 1 3
100.0 1 2
99.5 6 2
99.0 4 4
98.5 1 3 3
98.0 2 7
97.0 5
96.5 3
96.0 2 5
95.5 2 3
95.0 3 3
94.5 1 2 7
94.0 1 2 1
93.5 4 10
93.0 2 1
92.5 2 12
92.0 4 4
91.5 3 3 1
91.0 5 4
90.5 2 1 1
90.0 7 11
89.5 3 4
89.0 3 7
88.5 2 4
88.0 1
87.5 6 12
87.0 2 2
86.5 1 8 8
86.0 1 6 7
85.5 2 4
85.0 2 4
84.5 4 7 1
84.0 13 7
83.5 2 6
83.0 7 17
82.5 1 4 6
82.0 10 11
81.5 6 10
81.0 3 6
80.5 8 10
80.0 1 3 6
79.5 1 5 10
79.0 1 5 8
78.5 1 1 6 8
78.0 1 3 5 1
77.5 8 6
77.0 7 9
76.5 2 5 1
76.0 7 4 1
75.5 2 7 5
75.0 1 1 2
74.5 1 4 8
74.0 3 10
73.5 4 7
73.0 4 2 1
72.5 1 6 6
72.0 1 6 8
71.5 1 3 1
71.0 1 5 5 1
70.5 2 5 1
70.0 1 1 6 3
69.5 9 10
69.0 1 1 1
68.5 11 4
68.0 1 2 6
67.5 3 7
67.0 1 5 5
66.5 1 3 2
66.0 1 5 8 1
65.5 4 1
65.0 4 5
64.5 5 3
64.0 5 1
63.5 1 5
63.0 1 1 3 1
62.5 2 8
62.0 4 2
61.5 1 1 4 1
61.0 1 3 4
60.5 1 2 4
60.0 1 6 8 1
59.5 1 1 5 1
59.0 2
58.5 3
58.0 1 1 1 1
57.5 1 1 2
57.0 1 2 3
56.5 1 3
56.0 1 1
55.5 2
55.0 3 2
54.5 2
54.0 2 1 2 3
53.0 1 2 3
52.5 3
52.0 3 2
51.5 1 1
51.0 4
50.5 1
50.0 1 2
49.5 1
49.0 3
48.5 1 1
48.0 1 6
47.5 1 1
47.0 1
46.5 1
45.5 1
45.0 1
44.5 1 1 1
43.0 1 2
42.5 1 1
42.0 3 5
41.0 1
40.5 1 2
39.0 1 1
38.5 1 2
38.0 1
37.5 1
36.0 1 1 3
34.0 1
33.5 1
33.0 1
30.5 1
30.0 1 1 3
28.0 1
24.0 1 1
American Mathematics Competitions
2005 AMC 10 B Results for New Jersery
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 8.87* 0.29 0.35 0.13 0.31 0.06 0.00
2 0.15 0.22 0.15 8.86* 0.10 0.52 0.00
3 0.06 0.73 1.81 5.91* 0.92 0.55 0.01
4 0.97 0.15 0.84 4.92* 0.23 2.90 0.00
5 0.06 0.08 8.69* 0.15 0.42 0.60 0.00
6 0.11 8.37* 0.13 0.27 0.28 0.84 0.00
7 1.01 1.84* 0.35 1.34 0.77 4.69 0.00
8 6.23* 0.16 0.97 0.12 0.11 2.40 0.00
9 0.53 0.77 1.49 5.32* 0.61 1.26 0.01
10 1.82* 0.95 0.57 0.34 0.32 6.00 0.00
11 0.25 0.51 0.31 2.11 2.22* 4.61 0.00
12 0.55 1.45 0.60 0.23 0.39* 6.78 0.00
13 0.56 0.71 1.95* 1.60 0.28 4.90 0.00
14 0.46 0.31 2.31* 2.07 0.55 4.30 0.00
15 1.31 0.55 0.84 4.22* 0.52 2.56 0.00
16 0.44 0.69 0.95 0.69* 0.10 7.14 0.00
17 0.45 2.86* 0.97 0.42 0.20 5.10 0.00
18 0.46 4.59 0.97 1.96* 0.54 1.48 0.00
19 0.38 5.96* 0.32 0.48 0.52 2.34 0.00
20 0.55 0.42 1.13* 0.46 0.37 7.07 0.00
21 0.34* 0.35 0.38 0.34 0.24 8.34 0.00
22 0.59 1.10 0.44* 0.20 0.26 7.40 0.00
23 2.79 0.52 0.55* 0.21 0.14 5.77 0.02
24 0.34 0.30 0.23 0.44 1.22* 7.47 0.00
25 0.30 0.30 3.25* 0.32 0.21 5.62 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 New Jersery
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 2 100.0
149.5 124.5 99.5 20 2
149.0 124.0 1 1 99.0 2
148.5 123.5 98.5 21 13
148.0 123.0 1 98.0 3 1
147.5 122.5 97.5 4 4
147.0 122.0 97.0 9 4
146.5 1 121.5 96.5 1 1
146.0 121.0 96.0 30 20
145.5 120.5 2 95.5 2
145.0 120.0 95.0 33 13
144.5 119.5 4 94.5 7 5
144.0 119.0 94.0 4 8
143.5 118.5 2 1 93.5 20 9
143.0 1 118.0 2 93.0 1 2
142.5 117.5 92.5 23 19
142.0 117.0 4 2 92.0 9 2
141.5 116.5 91.5 16 9
141.0 116.0 5 91.0 10 6
140.5 1 115.5 1 90.5 2 3
140.0 115.0 2 1 90.0 18 22
139.5 1 114.5 89.5 3 3
139.0 114.0 89.0 36 17
138.5 113.5 2 88.5 7 1
138.0 113.0 88.0 9 11
137.5 112.5 6 2 87.5 9 5
137.0 1 112.0 3 87.0 5 2
136.5 111.5 6 3 86.5 20 25
136.0 111.0 2 2 86.0 4 2
135.5 110.5 85.5 13 11
135.0 110.0 3 1 85.0 17 7
134.5 109.5 1 84.5 12 4
134.0 109.0 11 5 84.0 20 12
133.5 2 108.5 83.5 2 1
133.0 108.0 6 5 83.0 30 19
132.5 107.5 82.5 5 6
132.0 107.0 82.0 6 12
131.5 106.5 11 81.5 16 9
131.0 1 106.0 81.0 7 5
130.5 105.5 16 5 80.5 17 8
130.0 1 105.0 1 80.0 3 4
129.5 104.5 10 4 79.5 4 10
129.0 104.0 6 2 79.0 5 5
128.5 103.5 78.5 6 6
128.0 103.0 11 5 78.0 13 7
127.5 3 102.5 1 1 77.5 9 5
127.0 102.0 22 7 77.0 12 12
126.5 101.5 4 2 76.5 7 7
126.0 1 101.0 13 11 76.0 7 9
125.5 2 100.5 12 2 75.5 20 6
American Mathematics Competitions
2005 AMC 12 B Results for New Jersery
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 12 5 50.0 1 3 25.0
74.5 9 6 49.5 1 24.5
74.0 6 7 49.0 24.0 2
73.5 9 8 48.5 1 23.5
73.0 8 5 48.0 2 3 23.0
72.5 3 4 47.5 22.5
72.0 8 6 47.0 2 22.0
71.5 4 1 46.5 21.5
71.0 7 8 46.0 1 21.0
70.5 1 3 45.5 20.5
70.0 4 5 45.0 20.0
69.5 3 4 44.5 1 19.5
69.0 5 2 44.0 19.0
68.5 8 6 43.5 18.5
68.0 2 6 43.0 18.0
67.5 3 5 42.5 1 17.5
67.0 3 4 42.0 2 3 17.0
66.5 2 2 41.5 1 16.5
66.0 13 13 41.0 1 16.0
65.5 2 40.5 15.5
65.0 5 2 40.0 15.0
64.5 1 4 39.5 14.5
64.0 1 2 39.0 14.0
63.5 4 3 38.5 1 13.5
63.0 1 1 38.0 13.0
62.5 4 4 37.5 12.5
62.0 2 2 37.0 12.0
61.5 2 3 36.5 11.5
61.0 3 2 36.0 3 11.0
60.5 2 3 35.5 10.5
60.0 4 3 35.0 1 10.0
59.5 2 1 34.5 9.5
59.0 1 3 34.0 9.0
58.5 4 2 33.5 8.5
58.0 2 2 33.0 8.0
57.5 1 1 32.5 1 7.5
57.0 4 32.0 7.0
56.5 1 1 31.5 1 6.5
56.0 3 2 31.0 6.0
55.5 3 30.5 5.5
55.0 1 1 30.0 5.0
54.5 1 29.5 4.5
54.0 7 7 29.0 1 4.0
53.5 1 1 28.5 3.5
53.0 1 2 28.0 3.0
52.5 1 27.5 2.5
52.0 3 27.0 2.0
51.5 2 26.5 1.5
51.0 1 26.0 1.0
50.5 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for New Jersery
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
146.5 1
143.0 1
140.5 1
139.5 1
137.0 1
133.5 1 1
131.0 1
130.0 1
127.5 1 1 1
126.0 1
125.5 2
125.0 1 1
124.0 2
123.0 1
120.5 1 1
119.5 1 2 1
118.5 1 1 2
118.0 1 1
117.0 5 1
116.0 2 1 2
115.5 1
115.0 3
113.5 1 1 1
112.5 5 5
112.0 1 1 1
111.5 2 4 3
111.0 1 2 1
110.0 3 1
109.5 1
109.0 2 6 8
108.0 4 4 4
106.5 2 2 7
105.5 3 8 9 1
105.0 1
104.5 2 6 6
104.0 4 4
103.0 1 3 9 3 1
102.5 1 1
102.0 1 1 2 11 15
101.5 1 2 3
101.0 1 3 11 10 1
100.5 2 3 9
99.5 1 12 10
99.0 2
98.5 4 4 17 10
98.0 1 2 1
97.5 6 2
97.0 2 6 7
96.5 1 1
96.0 1 6 20 25
95.5 2
95.0 1 4 21 21
94.5 7 6
94.0 1 1 4 6
93.5 2 3 10 14
93.0 1 1 1
92.5 1 3 15 24
92.0 2 5 5
91.5 1 5 7 11 1
91.0 6 10
90.5 1 4 2
90.0 1 15 24 1
89.5 3 3
89.0 1 6 23 24 1
88.5 1 7
88.0 2 7 11
87.5 1 1 10 3 1
87.0 2 5 3
86.5 3 19 23 1
86.0 4 2
85.5 2 3 6 15 2
85.0 4 11 11
84.5 1 1 1 5 8
84.0 4 14 14
83.5 3
83.0 2 4 25 18 1
82.5 6 5
82.0 2 7 10 1
81.5 1 2 9 12 1
81.0 1 1 9 2
80.5 1 4 11 10
80.0 3 5
79.5 2 8 6 1
79.0 3 6 2
78.5 1 1 8 3
78.0 3 8 9 2
77.5 1 2 5 6
77.0 1 16 7
76.5 1 5 8
76.0 1 10 6 1
75.5 1 2 12 12 1
75.0 1 1 5 11
74.5 2 12 3 2
74.0 1 7 6
73.5 9 8 1
73.0 8 6
72.5 3 4
72.0 1 12 2
71.5 4 1
71.0 1 1 6 7
70.5 1 3 1
70.0 7 3
69.5 6 2
69.0 4 3
68.5 6 8
68.0 5 3
67.5 6 2
67.0 6 2
66.5 3 1
66.0 1 5 16 4
65.5 2
65.0 5 1 1
64.5 4 1
64.0 1 2
63.5 6 1
63.0 2
62.5 2 1 5 1 2
62.0 1 2 1
61.5 1 4
61.0 1 3 1
60.5 2 3
60.0 2 3 3 1
59.5 1 2
59.0 1 3
58.5 1 4 1
58.0 2 2
57.5 2
57.0 1 3
56.5 1 1
56.0 4 1
55.5 1 2
55.0 2
54.5 1
54.0 1 1 12 1
53.5 2
53.0 3 1
52.5 1
52.0 1 2
51.5 1 1
51.0 1
50.5 3
50.0 1 3
49.5 1
48.5 1
48.0 1 1 3
47.0 1 1
46.0 1
44.5 1 1 1
42.5 1
42.0 1 3 1
41.5 1
41.0 1
38.5 1
36.0 1 2
35.0 1
32.5 1
31.5 1
29.0 1
24.0 2
American Mathematics Competitions
2005 AMC 12 B Results for New Jersery
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 9.47* 0.10 0.20 0.06 0.13 0.04 0.00
2 0.04 0.11 0.09 9.56* 0.06 0.14 0.00
3 0.08 0.04 9.37* 0.10 0.20 0.21 0.00
4 0.07 9.24* 0.12 0.11 0.20 0.24 0.01
5 8.41* 0.08 0.65 0.05 0.04 0.77 0.00
6 3.78* 0.90 0.55 0.36 0.33 4.07 0.00
7 0.75 1.66 0.24 2.79* 0.54 4.03 0.00
8 1.00 1.56 4.85* 0.06 0.97 1.57 0.00
9 0.25 8.30* 0.30 0.32 0.18 0.65 0.01
10 0.16 0.63 0.13 2.28 4.31* 2.49 0.00
11 1.05 1.29 0.77 4.58* 0.30 2.02 0.01
12 0.31 0.68 1.08 1.07* 0.11 6.75 0.00
13 0.56 0.38 0.30 2.24* 0.23 6.29 0.00
14 0.67 1.08 0.75 0.39 1.23* 5.88 0.00
15 0.61 0.38 0.36 5.47* 0.39 2.80 0.00
16 0.26 0.25 0.92 0.61* 0.23 7.73 0.00
17 0.47 0.66* 0.30 0.16 0.68 7.73 0.01
18 1.61 0.54 0.59* 0.36 0.28 6.62 0.00
19 0.25 0.19 0.26 0.30 2.56* 6.44 0.01
20 0.08 0.30 4.74* 0.57 1.81 2.49 0.01
21 0.23 0.35 0.52* 0.36 0.19 8.35 0.00
22 0.35 0.84 0.21 0.17 0.15* 8.28 0.00
23 0.18 0.34* 0.20 0.12 0.10 9.06 0.00
24 0.27* 0.30 0.33 0.28 0.22 8.61 0.00
25 0.30* 0.34 0.28 0.17 0.33 8.58 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column