American Mathematics Competitions
2005 AMC 10 A Results for North Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1473
Number of unofficial participants: 0
Average score of participants: 74.0
Average score for female students is: 70.8 ( 656 Students)
Average score for male students is: 75.6 ( 664 Students)
Average score for unspecified gender is 81.0 ( 153 Students)
Average score for grade 10 is: 74.1 ( 615 Students)
Average score for grade 9 is: 74.2 ( 458 Students)
Average score for grade 8 and below is: 70.7 ( 301 Students)
Average score with unknown grade: 82.3 ( 99 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 21
Number of schools returning results 61
Average school winning score 101.60
American Mathematics Competitions
2005 AMC 12 A Results for North Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1980
Number of unofficial participants: 0
Average score of participants: 80.1
Average score for female students is: 76.3 ( 827 Students)
Average score for male students is: 82.7 ( 1000 Students)
Average score for unspecified gender is 83.7 ( 153 Students)
Average score for grade 12 is: 80.7 ( 779 Students)
Average score for grade 11 is: 78.7 ( 974 Students)
Average score for grade 10 is: 81.6 ( 148 Students)
Average score for grade 9 is: 102.5 ( 5 Students)
Average score with unknown grade: 88.4 ( 74 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 225
Number of schools returning results 53
Average school winning score 106.44
Average school team score 301.74
American Mathematics Competitions
2005 AMC 10 B Results for North Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 913
Number of unofficial participants: 0
Average score of participants: 79.0
Average score for female students is: 77.0 ( 424 Students)
Average score for male students is: 80.1 ( 396 Students)
Average score for unspecified gender is 83.6 ( 93 Students)
Average score for grade 10 is: 80.6 ( 399 Students)
Average score for grade 9 is: 77.2 ( 284 Students)
Average score for grade 8 and below is: 77.9 ( 173 Students)
Average score with unknown grade: 80.3 ( 57 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 7
Number of schools returning results 40
Average school winning score 106.22
American Mathematics Competitions
2005 AMC 12 B Results for North Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 750
Number of unofficial participants: 0
Average score of participants: 83.6
Average score for female students is: 81.0 ( 305 Students)
Average score for male students is: 85.7 ( 402 Students)
Average score for unspecified gender is 82.5 ( 43 Students)
Average score for grade 12 is: 85.3 ( 295 Students)
Average score for grade 11 is: 81.9 ( 383 Students)
Average score for grade 10 is: 89.7 ( 47 Students)
Average score for grade 9 is: 84.5 ( 5 Students)
Average score for grade 8 and below is: 104.0 ( 3 Students)
Average score with unknown grade: 72.6 ( 17 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 93
Number of schools returning results 38
Average school winning score 103.70
Average school team score 291.37
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
411.0 1 1
399.0 1 2
381.5 1 3
355.0 1 4
354.0 1 5
353.5 1 6
353.0 1 7
350.5 1 8
347.0 1 9
345.0 1 10
339.0 1 11
337.5 1 12
335.5 1 13
333.0 1 14
332.5 1 15
330.5 1 16
330.0 1 17
329.5 2 18
328.0 1 20
327.0 1 1 21
325.5 1 23
324.5 1 24
322.5 2 1 25
321.5 1 28
318.0 1 29
317.0 1 30
316.5 1 31
315.5 2 32
313.0 2 34
308.5 1 36
307.0 1 37
306.5 1 38
305.0 1 39
304.5 1 40
304.0 1 41
303.5 1 42
303.0 2 43
300.0 1 45
299.5 1 1 46
298.5 3 48
298.0 1 1 51
296.5 2 53
295.5 2 55
292.0 1 57
290.5 1 58
285.5 2 59
284.0 1 61
282.5 1 62
281.0 2 63
280.5 1 65
277.5 1 66
276.0 1 67
273.5 1 68
272.5 1 69
270.0 1 70
269.0 1 71
268.0 1 72
267.0 1 73
266.5 2 1 74
256.5 1 77
256.0 2 78
247.0 1 1 80
246.5 1 1 82
243.0 1 84
240.0 1 85
237.5 1 86
231.0 1 87
227.5 1 88
203.5 1 89
202.5 1 90
92.5 1 91
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
140.5 1
138.0 1
137.0 2 1
136.0 1
134.5 1
133.5 1 1 1
132.5 1
132.0 1 1 1
131.0 2 1
130.0 1 1
129.0 2
126.0 1 1
125.5 1 1 4
125.0 1 1
124.0 2 3
123.0 3 1 1
122.5 1 1
122.0 3 1
120.5 4 1
119.5 5
118.5 1 1
118.0 1
117.0 1 1 2 2
116.5 1
116.0 6 3 3
115.5 1 1 1
115.0 3 1 2 1
114.5 1 4 2
114.0 1
113.5 3 1
112.5 7 1 3
112.0 1 1 5 2
111.5 6 6 1 1
111.0 2 4
110.0 4 3 3 3
109.0 16 8 4
108.5 1 1 2
108.0 12 9 4 2
107.5 2 2 6 5
106.5 11 2 1 9
106.0 2
105.5 22 8 2 1
105.0 3 1 2 2
104.5 19 11 4 2
104.0 5 11
103.5 1 1 1
103.0 11 4 7 4
102.5 2 2 1
102.0 25 12 2 4
101.5 1 5 1
101.0 31 11 3 6
100.5 6 8 5 5
100.0 1
99.5 18 10 8 11
99.0 4 1 6 2
98.5 24 11 8 11
98.0 6 5 8 9
97.5 7 4 1 2
97.0 12 11 8 7
96.5 3 1
96.0 28 15 11 15
95.5 4 1 3 12
95.0 54 21 11 4
94.5 7 4 7 5
94.0 7 5 4 2
93.5 18 7 14 17
93.0 4 6
92.5 39 25 12 9
92.0 4 3 9 13
91.5 26 15 9 9
91.0 13 11 14 10
90.5 19 6 3 2
90.0 32 23 15 19
89.5 8 4 6
89.0 59 25 13 13
88.5 9 5 8 6
88.0 28 7 11 4
87.5 19 15 15 19
87.0 15 5 9 6
86.5 22 21 15 12
86.0 5 2 7 9
85.5 42 9 15 12
85.0 18 4 10 19
84.5 34 5 7 6
84.0 21 12 21 19
83.5 10 1 7 8
83.0 62 25 20 11
82.5 9 9 7 9
82.0 20 8 16 7
81.5 11 10 17 11
81.0 22 7 15 10
80.5 31 17 18 22
80.0 11 3 8 11
79.5 26 15 30 10
79.0 8 9 13 10
78.5 35 6 23 12
78.0 26 17 19 10
77.5 30 3 14 15
77.0 35 21 9 14
76.5 11 7 11 13
76.0 32 14 33 7
75.5 15 7 21 7
75.0 24 6 22 9
74.5 19 11 15 8
74.0 32 6 6
73.5 22 9 21 9
73.0 12 4 13 6
72.5 27 4 20 9
72.0 24 11 15 18
71.5 22 23 10
71.0 22 7 23 3
70.5 17 8 11 2
70.0 16 6 25 8
69.5 11 2 11 5
69.0 30 1 27 9
68.5 17 5 23 7
68.0 13 3 13 8
67.5 27 6 22 10
67.0 10 8 13 12
66.5 18 4 17 6
66.0 19 13 14 15
65.5 21 7 10 7
65.0 19 5 16 4
64.5 9 4 9 5
64.0 16 3 22 6
63.5 12 3 8 3
63.0 18 2 11 7
62.5 5 7 9 9
62.0 16 2 20 7
61.5 8 2 13 3
61.0 6 3 10 1
60.5 19 2 19 6
60.0 15 4 24 6
59.5 8 4 13 3
59.0 14 1 17 5
58.5 12 7
58.0 8 1 18 6
57.5 9 1 15 8
57.0 16 4 4 4
56.5 7 3 14 4
56.0 4 11 4
55.5 9 1 8 3
55.0 2 1 3 1
54.5 4 2 12 3
54.0 12 1 15 6
53.5 2 2 5 3
53.0 4 2 8 2
52.5 5 2 2
52.0 4 3 4
51.5 7 1 3
51.0 3 1 6 5
50.5 7 1 7 2
50.0 4 4 4
49.5 5 1 9 2
49.0 5
48.5 4 8
48.0 7 1 7 3
47.5 1 11 3
47.0 2 5 1
46.5 2 1 5 2
46.0 3 2 3
45.5 1 3 2
45.0 4 4
44.5 3 2 3
44.0 1 1 1 1
43.5 1 5 1
43.0 1 7 1
42.5 1 3 1
42.0 7 7 4
41.5 1
41.0 1 1 1
40.5 1 1
40.0 1 3
39.5 2
39.0 1 1
38.5 1 1 3
38.0 2 1 3
37.5 1 1 2
37.0 1
36.5 5
36.0 5 1 5 5
35.5 1
35.0 1 1 1
34.5 1
34.0 1
33.0 1
32.5 1 1
32.0 1
31.5 1
31.0 1
30.5 2 1
30.0 3 3 1
29.0 2
28.0 1
27.5 1
26.5 2
24.0 3 1 1
23.0 1
22.5 2
18.0 1 1
16.0 1
12.0 2
6.0 1
American Mathematics Competitions
2005 AMC 10 A Results for North Carolina
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 3 3
149.0 124.0 1 99.0 4 1
148.5 123.5 98.5 3 4
148.0 123.0 98.0 1 6
147.5 122.5 1 97.5 1
147.0 122.0 97.0 5 3
146.5 121.5 96.5
146.0 121.0 96.0 5 4
145.5 120.5 2 1 95.5 2
145.0 120.0 95.0 7 1
144.5 119.5 94.5 4 1
144.0 119.0 94.0 2
143.5 118.5 1 93.5 8 4
143.0 118.0 93.0 3 1
142.5 117.5 92.5 5 6
142.0 117.0 1 92.0 7
141.5 116.5 91.5 4 4
141.0 116.0 1 1 91.0 10 4
140.5 115.5 90.5 2 1
140.0 115.0 1 1 90.0 8 5
139.5 114.5 4 89.5 3 1
139.0 114.0 1 89.0 4 8
138.5 113.5 1 88.5 4 4
138.0 113.0 88.0 8 2
137.5 112.5 1 87.5 7 4
137.0 1 112.0 3 2 87.0 3 4
136.5 111.5 1 86.5 7 4
136.0 111.0 3 1 86.0 4 3
135.5 110.5 85.5 6 5
135.0 110.0 1 1 85.0 5 5
134.5 109.5 84.5 4 2
134.0 109.0 84.0 8 11
133.5 108.5 83.5 2 4
133.0 108.0 4 83.0 8 9
132.5 1 107.5 5 1 82.5 3 3
132.0 1 107.0 82.0 4 9
131.5 106.5 1 81.5 10 7
131.0 106.0 2 81.0 10 5
130.5 105.5 2 80.5 9 7
130.0 105.0 1 80.0 3 4
129.5 104.5 1 3 79.5 11 15
129.0 1 1 104.0 4 79.0 7 5
128.5 103.5 1 78.5 12 6
128.0 103.0 5 78.0 9 6
127.5 102.5 2 77.5 8 6
127.0 102.0 1 1 77.0 4 2
126.5 101.5 1 1 76.5 5 6
126.0 101.0 1 1 76.0 15 15
125.5 1 2 100.5 3 2 75.5 8 9
American Mathematics Competitions
2005 AMC 10 A Results for North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 13 7 50.0 4 25.0
74.5 4 9 49.5 3 5 24.5
74.0 3 2 49.0 1 3 24.0 1
73.5 10 9 48.5 2 5 23.5
73.0 6 6 48.0 3 3 23.0
72.5 7 12 47.5 5 6 22.5
72.0 8 4 47.0 1 4 22.0
71.5 10 12 46.5 3 2 21.5
71.0 8 13 46.0 2 21.0
70.5 4 6 45.5 1 2 20.5
70.0 9 16 45.0 4 20.0
69.5 4 7 44.5 2 19.5
69.0 11 15 44.0 1 19.0
68.5 10 12 43.5 5 18.5
68.0 4 6 43.0 2 3 18.0 1
67.5 9 13 42.5 1 2 17.5
67.0 8 4 42.0 2 3 17.0
66.5 12 3 41.5 16.5
66.0 4 8 41.0 16.0 1
65.5 1 9 40.5 15.5
65.0 2 12 40.0 1 15.0
64.5 5 3 39.5 14.5
64.0 10 11 39.0 1 14.0
63.5 2 6 38.5 3 13.5
63.0 4 5 38.0 1 13.0
62.5 4 4 37.5 1 12.5
62.0 9 10 37.0 12.0
61.5 6 7 36.5 4 11.5
61.0 2 8 36.0 4 11.0
60.5 10 8 35.5 10.5
60.0 9 14 35.0 1 10.0
59.5 8 4 34.5 1 9.5
59.0 5 10 34.0 9.0
58.5 4 3 33.5 8.5
58.0 10 8 33.0 1 8.0
57.5 5 10 32.5 1 7.5
57.0 4 32.0 1 7.0
56.5 5 9 31.5 1 6.5
56.0 5 6 31.0 1 6.0
55.5 5 3 30.5 5.5
55.0 2 1 30.0 1 2 5.0
54.5 6 5 29.5 4.5
54.0 8 7 29.0 4.0
53.5 3 2 28.5 3.5
53.0 4 3 28.0 3.0
52.5 2 27.5 1 2.5
52.0 1 2 27.0 2.0
51.5 2 1 26.5 1 1 1.5
51.0 4 2 26.0 1.0
50.5 4 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for North Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
137.0 1
133.5 1
132.5 1
132.0 1
130.0 1
129.0 1 1
125.5 3 1
125.0 1
124.0 1 2
123.0 1
122.5 1
120.5 1 2 1
118.5 1
117.0 2
116.0 2 1
115.5 1
115.0 2
114.5 2 2
114.0 1
113.5 1
112.5 1
112.0 1 3 1
111.5 1
111.0 1 1 2
110.0 2 1
108.5 1
108.0 2 2
107.5 1 2 3
106.5 1
106.0 2
105.5 1 1
105.0 1 1
104.5 1 2 1
104.0 1 3 1
103.5 1
103.0 3 3 1
102.5 1 1
102.0 1 1
101.5 1 1 3
101.0 1 2
100.5 1 3 1
100.0 1
99.5 6 2
99.0 3 2 1
98.5 1 3 3 1
98.0 4 3 1
97.5 1
97.0 3 5
96.0 1 3 5 2
95.5 1 1 1
95.0 1 4 3 3
94.5 1 3 2 1
94.0 1 2 1
93.5 1 1 4 7 1
93.0 1 2 1
92.5 2 2 8
92.0 4 3 2
91.5 2 1 1 4 1
91.0 1 5 8
90.5 1 1 1
90.0 1 2 1 5 4 2
89.5 2 1 1
89.0 6 7
88.5 3 5
88.0 1 2 4 4
87.5 1 5 6 3
87.0 1 2 5 1
86.5 4 8 3
86.0 1 2 4
85.5 1 5 7 2
85.0 1 9
84.5 1 1 2 2 1
84.0 1 1 1 8 10
83.5 1 3 2 1
83.0 5 3 11 1
82.5 1 5 1
82.0 1 2 3 8 2
81.5 1 1 1 5 9
81.0 1 1 4 4 5
80.5 2 10 5 1
80.0 1 3 3 1
79.5 4 5 5 14 2
79.0 1 6 5 1
78.5 6 6 7 4
78.0 1 3 8 5 2
77.5 1 3 4 6
77.0 1 3 2 3
76.5 2 6 3
76.0 2 6 11 12 2
75.5 3 2 14 2
75.0 1 3 5 6 5 2
74.5 1 1 6 6 1
74.0 2 3 1
73.5 2 4 6 8 1
73.0 1 1 5 5 1
72.5 3 5 5 7
72.0 3 5 5 2
71.5 3 2 8 9 1
71.0 1 5 9 8
70.5 4 6 1
70.0 2 7 9 7
69.5 1 5 5
69.0 1 14 12
68.5 8 9 5 1
68.0 4 3 4 2
67.5 3 4 4 11
67.0 1 2 3 6 1
66.5 1 7 5 2 2
66.0 1 1 2 8 2
65.5 3 2 5
65.0 1 9 4 2
64.5 4 4 1
64.0 2 7 4 8 1
63.5 1 1 6
63.0 1 1 3 5 1
62.5 1 2 1 4 1
62.0 3 3 7 6 1
61.5 1 3 3 6
61.0 3 4 3
60.5 1 1 4 7 5 1
60.0 1 3 9 11
59.5 2 2 2 7
59.0 4 1 3 8 1
58.5 1 2 4
58.0 2 2 11 3
57.5 1 5 9
57.0 1 3
56.5 1 5 8
56.0 5 6
55.5 2 4 2
55.0 1 1 1
54.5 6 5 1
54.0 1 5 3 6
53.5 1 3 1
53.0 2 2 1 3
52.5 1 1
52.0 2 1
51.5 2 1
51.0 3 2 1
50.5 2 2 3
50.0 1 3
49.5 3 2 4
49.0 1 3 1
48.5 1 1 2 3 1
48.0 2 2 2 1
47.5 2 3 6
47.0 1 1 3
46.5 2 3
46.0 1 1
45.5 2 1
45.0 1 3
44.5 2
44.0 1
43.5 2 3
43.0 1 2 4
42.5 1 2
42.0 2 1 2 2
40.5 1
40.0 1
39.0 1
38.5 1 2
38.0 1
37.5 1
36.5 1 3 1
36.0 1 2 1 1
35.0 1
34.5 1
34.0 1
33.0 1
32.5 1
32.0 1
31.5 1
31.0 1
30.0 1 2
27.5 1
26.5 2
24.0 1
18.0 1
16.0 1
American Mathematics Competitions
2005 AMC 10 A Results for North Carolina
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 0.27 0.15 0.31 8.53* 0.45 0.29 0.00
2 0.14 0.21 5.46* 0.08 1.41 2.70 0.00
3 0.07 8.91* 0.25 0.38 0.10 0.29 0.00
4 0.45 1.68* 1.73 0.60 0.54 5.00 0.00
5 5.98* 0.42 3.27 0.13 0.06 0.13 0.01
6 0.22 5.25* 3.08 0.15 0.05 1.26 0.00
7 0.74 3.62* 0.33 0.41 0.74 4.15 0.01
8 1.05 0.23 4.11* 0.14 0.09 4.38 0.01
9 1.17 5.69* 1.02 0.22 0.16 1.73 0.00
10 1.77* 0.43 0.95 0.34 0.14 6.36 0.01
11 0.39 2.29* 0.23 0.77 0.09 6.23 0.00
12 0.27 1.16* 0.55 0.22 0.69 7.10 0.01
13 1.48 0.45 0.37 0.38 0.99* 6.31 0.01
14 0.65 0.44 0.35 0.50 2.23* 5.82 0.00
15 0.42 0.64 0.81 1.02 1.00* 6.12 0.00
16 0.58 0.35 0.73 2.32* 0.14 5.89 0.00
17 0.30 0.30 0.41 1.93* 0.43 6.63 0.00
18 1.26* 1.87 0.94 3.53 0.35 2.06 0.00
19 0.40 0.73 0.84 3.52* 0.61 3.90 0.00
20 0.68* 0.34 0.43 0.41 0.22 7.91 0.00
21 1.43 0.75* 0.29 0.36 0.62 6.54 0.00
22 0.73 0.45 0.31 2.34* 0.57 5.59 0.00
23 0.26 0.44 1.25* 0.84 0.64 6.57 0.00
24 0.90 0.82* 0.35 0.13 0.14 7.66 0.00
25 0.29 0.75 0.93 0.64* 0.11 7.28 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 North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 100.0
149.5 124.5 99.5 12 3
149.0 124.0 1 1 99.0 1 3
148.5 123.5 98.5 14 8
148.0 123.0 2 98.0 5 1
147.5 122.5 97.5 2 5
147.0 122.0 2 1 97.0 11 1
146.5 121.5 96.5 1 1
146.0 121.0 96.0 19 8
145.5 120.5 95.5 2 1
145.0 120.0 95.0 38 15
144.5 119.5 5 94.5 5 1
144.0 119.0 94.0 5 2
143.5 118.5 1 93.5 11 6
143.0 118.0 93.0
142.5 117.5 92.5 23 11
142.0 117.0 92.0 4
141.5 116.5 1 91.5 17 6
141.0 116.0 1 2 91.0 10 3
140.5 1 115.5 1 90.5 10 8
140.0 115.0 3 90.0 16 10
139.5 114.5 1 89.5 8
139.0 114.0 89.0 32 21
138.5 113.5 88.5 6 3
138.0 113.0 88.0 7 18
137.5 112.5 6 87.5 9 9
137.0 1 1 112.0 87.0 6 7
136.5 111.5 5 1 86.5 12 10
136.0 111.0 2 86.0 4
135.5 110.5 85.5 24 16
135.0 110.0 2 1 85.0 8 10
134.5 109.5 84.5 12 18
134.0 109.0 12 1 84.0 12 9
133.5 1 108.5 1 83.5 5 5
133.0 108.0 6 5 83.0 29 31
132.5 107.5 2 82.5 7 2
132.0 1 107.0 82.0 8 10
131.5 106.5 6 5 81.5 6 4
131.0 2 106.0 81.0 8 12
130.5 105.5 17 3 80.5 11 16
130.0 1 105.0 1 1 80.0 4 6
129.5 104.5 13 4 79.5 16 9
129.0 104.0 79.0 4 3
128.5 103.5 78.5 19 14
128.0 103.0 7 2 78.0 13 11
127.5 102.5 2 77.5 14 13
127.0 102.0 18 5 77.0 16 18
126.5 101.5 1 76.5 5 6
126.0 1 101.0 14 12 76.0 12 18
125.5 1 100.5 5 1 75.5 9 6
American Mathematics Competitions
2005 AMC 12 A Results for North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 10 13 50.0 3 1 25.0
74.5 8 10 49.5 1 4 24.5
74.0 17 11 49.0 24.0 2
73.5 13 9 48.5 1 3 23.5
73.0 5 7 48.0 4 3 23.0
72.5 13 12 47.5 22.5
72.0 7 13 47.0 1 1 22.0
71.5 7 14 46.5 1 1 21.5
71.0 11 6 46.0 1 1 21.0
70.5 7 7 45.5 1 20.5
70.0 5 8 45.0 2 2 20.0
69.5 6 4 44.5 2 1 19.5
69.0 14 15 44.0 1 19.0
68.5 9 8 43.5 1 18.5
68.0 5 7 43.0 18.0
67.5 11 13 42.5 1 17.5
67.0 4 6 42.0 3 2 17.0
66.5 7 10 41.5 16.5
66.0 11 7 41.0 1 16.0
65.5 10 11 40.5 15.5
65.0 10 8 40.0 15.0
64.5 5 3 39.5 1 1 14.5
64.0 7 9 39.0 1 14.0
63.5 1 10 38.5 1 13.5
63.0 4 13 38.0 1 1 13.0
62.5 2 2 37.5 1 12.5
62.0 9 6 37.0 1 12.0 2
61.5 1 7 36.5 11.5
61.0 4 2 36.0 3 1 11.0
60.5 9 10 35.5 10.5
60.0 3 10 35.0 1 10.0
59.5 4 2 34.5 9.5
59.0 5 8 34.0 9.0
58.5 7 5 33.5 8.5
58.0 4 2 33.0 8.0
57.5 3 6 32.5 1 7.5
57.0 3 13 32.0 7.0
56.5 4 3 31.5 6.5
56.0 1 3 31.0 6.0
55.5 4 5 30.5 1 1 5.5
55.0 2 30.0 2 1 5.0
54.5 3 1 29.5 4.5
54.0 3 8 29.0 1 1 4.0
53.5 2 28.5 3.5
53.0 1 3 28.0 3.0
52.5 1 4 27.5 2.5
52.0 1 3 27.0 2.0
51.5 4 3 26.5 1.5
51.0 1 2 26.0 1.0
50.5 2 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for North Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
140.5 1
137.0 1 1
136.0 1
134.5 1
133.5 1
132.0 1
131.0 2
130.0 1
126.0 1
125.5 1
125.0 1
124.0 1 1
123.0 1 1 1
122.0 1 2
119.5 1 2 2
118.5 1
117.0 1
116.5 1
116.0 2 3 1
115.5 1
115.0 2 1
114.5 1
113.5 3
112.5 2 1 4
112.0 1
111.5 1 1 4
111.0 2
110.0 1 2 1
109.0 1 8 6 1
108.5 1
108.0 1 1 6 3 1
107.5 2
106.5 1 3 7
105.5 1 10 10 1
105.0 1 1 1
104.5 2 3 13 1
103.0 3 4 4
102.5 2
102.0 1 15 9
101.5 1
101.0 1 14 15 1
100.5 3 3
99.5 2 9 5 2
99.0 1 2 1
98.5 9 14 1
98.0 1 3 2
97.5 5 2
97.0 2 4 6
96.5 1 2
96.0 2 10 16
95.5 1 2 1
95.0 5 25 24
94.5 5 1 1
94.0 1 2 4
93.5 1 10 6 1
92.5 1 15 20 3
92.0 2 2
91.5 2 20 2 2
91.0 2 7 4
90.5 1 7 11
90.0 15 14 3
89.5 1 6 1
89.0 25 31 3
88.5 4 5
88.0 2 15 9 2
87.5 2 11 5 1
87.0 5 9 1
86.5 2 15 5
86.0 1 1 2 1
85.5 2 20 19 1
85.0 2 11 4 1
84.5 1 16 15 2
84.0 12 9
83.5 1 6 3
83.0 6 27 27 2
82.5 6 3
82.0 1 11 6 2
81.5 1 8 2
81.0 1 2 10 7 2
80.5 5 14 10 2
80.0 1 6 4
79.5 2 14 8 2
79.0 4 4
78.5 1 4 20 9 1
78.0 7 12 5 2
77.5 1 18 10 1
77.0 3 20 12
76.5 1 6 4
76.0 6 17 9
75.5 1 10 4
75.0 3 11 9 1
74.5 1 7 9 2
74.0 1 12 17 2
73.5 3 12 6 1
73.0 1 7 4
72.5 1 14 12
72.0 2 6 15 1
71.5 4 6 12
71.0 10 10 2
70.5 1 9 6 1
70.0 12 3 1
69.5 3 4 4
69.0 1 17 12
68.5 1 9 7
68.0 10 2 1
67.5 1 14 10 2
67.0 6 4
66.5 3 11 4
66.0 8 10 1
65.5 1 10 10
65.0 2 11 6
64.5 2 3 4
64.0 1 6 9
63.5 7 5
63.0 2 9 7
62.5 2 2 1
62.0 1 9 6
61.5 1 3 4
61.0 1 5
60.5 1 7 11
60.0 10 5
59.5 4 3 1
59.0 3 8 3
58.5 2 9 1
58.0 2 3 3
57.5 4 5
57.0 13 3
56.5 5 2
56.0 2 1 1
55.5 1 3 5
55.0 2
54.5 3 1
54.0 11 1
53.5 2
53.0 1 2 1
52.5 2 3
52.0 2 2
51.5 4 3
51.0 3
50.5 7
50.0 2 2
49.5 2 3
48.5 3 1
48.0 2 5
47.0 1 1
46.5 2
46.0 1 2
45.5 1
45.0 1 1 2
44.5 2 1
44.0 1
43.5 1
42.5 1
42.0 1 2 4
41.0 1
39.5 2
39.0 1
38.5 1
38.0 1 1
37.5 1
37.0 1
36.0 3 2
35.0 1
32.5 1
30.5 1 1
30.0 1 2
29.0 1 1
24.0 2 1
12.0 1 1
American Mathematics Competitions
2005 AMC 12 A Results for North Carolina
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 0.03 0.03 0.11 9.60* 0.10 0.15 0.00
2 0.02 9.47* 0.18 0.25 0.03 0.05 0.00
3 0.45 4.48* 0.99 0.31 0.48 3.28 0.00
4 6.91* 0.33 2.57 0.07 0.03 0.09 0.00
5 0.19 7.44* 1.54 0.10 0.05 0.68 0.00
6 0.46 5.08* 0.29 0.32 0.71 3.14 0.00
7 0.40 0.18 7.24* 0.07 0.11 2.02 0.00
8 0.30 0.49 0.38 2.11* 0.16 6.56 0.00
9 3.54* 0.38 0.95 0.23 0.08 4.82 0.00
10 0.36 3.31* 0.27 0.44 0.15 5.48 0.00
11 0.78 0.43 0.34 0.48 3.41* 4.55 0.01
12 1.05 0.23 0.19 3.73* 1.31 3.49 0.00
13 0.15 0.18 0.40 3.10* 0.31 5.86 0.00
14 0.31 0.43 2.90 1.22* 0.31 4.83 0.01
15 0.22 0.38 1.35* 0.65 0.76 6.63 0.00
16 0.30 0.26 0.85 0.69* 0.25 7.65 0.00
17 1.81* 0.85 1.34 0.35 0.35 5.29 0.01
18 0.46* 0.45 0.29 0.21 0.19 8.40 0.00
19 0.88 2.25* 0.91 0.43 0.63 4.88 0.01
20 0.29 0.18 0.16 0.09 0.27* 9.00 0.01
21 0.36 0.49 0.46* 0.19 0.07 8.43 0.00
22 0.43 0.54* 0.26 0.29 0.21 8.28 0.00
23 0.50 0.56* 0.29 0.25 0.41 7.98 0.01
24 0.03 0.13* 0.20 0.24 0.06 9.34 0.00
25 0.29 0.22 0.18* 0.16 0.08 9.07 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 A Results for North Carolina
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses by 615 Student(s), Grade 10^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 2.76 2.28 2.93 83.41* 5.04 3.58 0.00
2 1.46 1.79 61.79* 0.65 12.36 21.95 0.00
3 0.33 89.27* 2.44 4.07 0.98 2.93 0.00
4 4.23 18.05* 16.75 6.99 5.37 48.62 0.00
5 57.40* 4.39 34.80 1.63 0.65 1.14 0.00
6 2.11 53.01* 30.57 1.79 0.65 11.87 0.00
7 7.64 36.75* 3.09 5.04 8.13 39.19 0.16
8 10.24 2.60 45.20* 1.14 0.98 39.84 0.00
9 11.38 54.63* 9.76 3.09 1.14 20.00 0.00
10 20.33* 4.72 8.62 4.07 2.11 60.16 0.00
11 4.23 22.11* 2.11 7.32 1.14 63.09 0.00
12 3.41 13.01* 6.83 2.60 6.99 66.99 0.16
13 15.12 4.55 2.93 4.88 10.89* 61.63 0.00
14 6.50 5.20 3.41 4.72 21.95* 58.21 0.00
15 4.39 6.99 8.62 9.76 10.24* 60.00 0.00
16 5.69 2.76 7.15 24.23* 1.79 58.37 0.00
17 3.41 1.95 4.07 20.00* 5.20 65.37 0.00
18 11.22* 17.07 8.78 39.19 3.25 20.49 0.00
19 3.41 8.29 9.11 38.54* 5.20 35.45 0.00
20 6.67* 2.60 3.90 4.72 1.63 80.49 0.00
21 15.61 6.67* 2.28 5.20 7.48 62.76 0.00
22 8.46 4.39 3.09 22.76* 4.72 56.59 0.00
23 2.28 4.39 13.01* 10.24 6.02 64.07 0.00
24 9.92 9.59* 3.58 0.65 1.30 74.96 0.00
25 2.28 8.62 10.73 5.69* 1.30 71.38 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
2005 AMC 10 A Results for North Carolina
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses by 458 Student(s), Grade 9^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 2.62 0.87 1.97 88.21* 3.28 3.06 0.00
2 1.31 1.97 53.93* 1.09 14.41 27.29 0.00
3 1.53 89.08* 1.97 3.28 1.31 2.84 0.00
4 4.80 16.16* 20.96 5.68 4.59 47.82 0.00
5 60.70* 3.49 32.31 1.31 0.66 1.31 0.22
6 2.84 48.91* 34.06 1.31 0.66 12.23 0.00
7 5.90 37.34* 3.93 3.28 8.08 41.48 0.00
8 9.83 2.62 41.05* 1.09 0.66 44.54 0.22
9 10.04 60.26* 11.35 2.40 2.18 13.76 0.00
10 18.34* 4.59 12.01 2.84 0.66 61.57 0.00
11 3.93 23.36* 1.53 7.64 0.44 63.10 0.00
12 3.06 11.35* 5.02 1.97 6.99 71.62 0.00
13 15.28 4.15 3.71 3.49 9.17* 64.19 0.00
14 5.24 3.71 3.28 5.68 24.02* 58.08 0.00
15 4.15 5.46 8.95 11.14 9.61* 60.70 0.00
16 5.68 3.06 7.21 21.62* 1.53 60.92 0.00
17 2.18 4.59 4.80 18.78* 4.15 65.50 0.00
18 12.66* 18.78 10.70 33.62 4.15 20.09 0.00
19 6.33 6.77 7.64 36.68* 7.21 35.37 0.00
20 8.95* 3.49 4.80 4.15 2.84 75.76 0.00
21 15.50 8.08* 3.71 2.62 6.11 63.97 0.00
22 6.99 3.71 3.28 25.55* 5.68 54.80 0.00
23 1.97 4.80 13.10* 8.52 7.42 64.19 0.00
24 9.39 8.52* 2.62 1.97 1.31 76.20 0.00
25 2.18 7.64 10.26 7.86* 1.53 70.52 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
2005 AMC 10 A Results for North Carolina
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses by 301 Student(s), Grades 8 and Below^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 2.66 0.66 4.98 84.39* 5.32 1.99 0.00
2 1.99 2.66 35.88* 1.00 17.94 40.53 0.00
3 0.33 87.38* 3.65 4.32 0.66 3.65 0.00
4 4.65 9.30* 15.95 5.65 5.65 58.80 0.00
5 60.80* 4.98 31.23 1.00 0.33 1.66 0.00
6 1.66 52.49* 29.24 1.33 0.00 15.28 0.00
7 10.30 30.23* 2.99 3.65 5.98 46.84 0.00
8 11.63 1.99 26.91* 2.33 1.00 56.15 0.00
9 14.95 53.16* 9.63 0.66 1.66 19.93 0.00
10 6.64* 3.65 7.97 3.32 1.33 76.74 0.33
11 1.99 21.26* 3.99 8.31 1.00 63.46 0.00
12 1.66 3.32* 3.65 1.99 5.65 83.72 0.00
13 15.28 5.32 5.65 2.33 6.31* 64.78 0.33
14 6.31 4.32 4.32 5.98 16.28* 62.79 0.00
15 4.32 3.99 5.32 8.64 9.63* 68.11 0.00
16 6.64 4.98 6.98 20.60* 0.66 60.13 0.00
17 3.65 2.66 3.32 17.28* 3.65 69.44 0.00
18 17.28* 20.27 10.63 29.57 3.32 18.94 0.00
19 2.66 6.98 9.97 23.59* 5.65 51.16 0.00
20 2.99* 4.98 4.32 3.65 2.99 81.06 0.00
21 10.63 7.97* 2.99 2.66 5.32 70.43 0.00
22 5.65 5.65 3.32 20.27* 8.31 56.81 0.00
23 3.99 4.65 10.63* 5.65 4.32 70.76 0.00
24 5.98 5.65* 4.32 1.33 1.99 80.73 0.00
25 4.98 6.31 6.31 5.98* 0.33 76.08 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
2005 AMC 10 A Results for North Carolina
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses by 664 Student(s), MALES
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.81 1.51 3.46 85.54* 4.97 2.71 0.00
2 1.66 1.51 57.53* 0.60 13.40 25.30 0.00
3 0.75 88.86* 2.71 3.77 1.20 2.71 0.00
4 5.72 17.47* 17.77 4.22 5.12 49.70 0.00
5 59.34* 3.61 33.89 1.20 0.30 1.66 0.00
6 2.11 57.83* 26.81 1.96 0.60 10.69 0.00
7 6.78 40.51* 2.86 4.07 7.68 37.95 0.15
8 11.14 2.26 43.07* 1.51 0.60 41.27 0.15
9 12.35 58.89* 9.19 2.11 1.05 16.42 0.00
10 21.39* 4.22 9.49 3.01 1.36 60.39 0.15
11 2.56 25.15* 2.41 7.98 0.90 60.99 0.00
12 2.41 11.90* 4.67 1.81 6.17 72.89 0.15
13 15.66 4.52 4.67 4.37 12.50* 58.13 0.15
14 6.33 4.37 3.61 4.82 24.25* 56.63 0.00
15 3.61 8.13 7.98 10.09 11.14* 59.04 0.00
16 5.87 3.77 7.23 24.85* 0.90 57.38 0.00
17 3.16 2.71 3.31 18.07* 5.27 67.47 0.00
18 10.99* 18.98 9.94 37.65 2.26 20.18 0.00
19 5.27 7.08 7.38 39.16* 6.02 35.09 0.00
20 8.73* 3.92 2.56 3.46 2.41 78.92 0.00
21 14.61 9.04* 3.46 3.16 5.87 63.86 0.00
22 7.98 4.37 3.01 27.26* 5.87 51.51 0.00
23 3.31 3.92 12.35* 8.58 5.42 66.42 0.00
24 7.53 8.89* 3.61 1.66 1.66 76.66 0.00
25 3.31 7.08 7.83 6.48* 1.36 73.95 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
2005 AMC 10 A Results for North Carolina
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses by 656 Student(s), Females
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 3.51 1.52 2.74 84.60* 4.27 3.35 0.00
2 1.22 2.74 48.32* 1.22 15.24 31.25 0.00
3 0.76 88.11* 2.59 3.96 0.91 3.66 0.00
4 3.81 12.65* 18.14 8.08 5.18 52.13 0.00
5 58.99* 4.88 32.32 1.68 0.91 1.07 0.15
6 2.44 44.51* 36.89 1.07 0.46 14.63 0.00
7 9.30 29.12* 4.12 4.42 7.77 45.27 0.00
8 9.91 2.59 35.52* 0.91 1.22 49.85 0.00
9 11.13 53.35* 11.59 2.59 2.29 19.05 0.00
10 12.04* 4.73 9.45 3.81 1.68 68.29 0.00
11 4.73 19.66* 2.29 7.47 0.91 64.94 0.00
12 3.51 8.08* 6.55 2.44 7.32 72.10 0.00
13 14.48 4.42 3.20 3.81 6.40* 67.68 0.00
14 5.49 4.88 3.51 6.10 18.29* 61.74 0.00
15 4.73 3.96 8.54 10.06 7.77* 64.94 0.00
16 6.40 3.05 6.86 20.12* 1.83 61.74 0.00
17 3.05 3.35 5.34 19.82* 3.96 64.48 0.00
18 15.24* 17.38 9.45 32.32 5.18 20.43 0.00
19 3.20 7.47 10.21 30.18* 6.25 42.68 0.00
20 3.66* 3.05 6.40 4.88 2.29 79.73 0.00
21 13.57 6.10* 2.59 4.42 7.62 65.70 0.00
22 7.01 4.42 3.51 18.45* 5.95 60.67 0.00
23 1.83 5.34 12.96* 9.15 6.86 63.87 0.00
24 10.21 7.62* 3.35 0.91 1.37 76.52 0.00
25 2.13 8.38 11.28 7.16* 1.07 69.97 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
2005 AMC 10 A Results for North Carolina
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses by 153 Student(s), Unknown Gender
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 3.27 1.31 2.61 86.93* 3.92 1.96 0.00
2 1.31 1.96 68.63* 0.00 11.76 16.34 0.00
3 0.00 94.77* 1.31 3.27 0.00 0.65 0.00
4 1.96 32.03* 11.76 4.58 7.19 42.48 0.00
5 65.36* 3.92 29.41 0.00 0.65 0.65 0.00
6 1.31 64.05* 21.57 1.31 0.00 11.76 0.00
7 1.96 47.71* 1.31 3.27 4.58 41.18 0.00
8 10.46 1.31 56.21* 2.61 0.65 28.76 0.00
9 11.76 63.40* 8.50 1.31 1.31 13.73 0.00
10 26.14* 3.27 9.80 3.27 0.00 57.52 0.00
11 5.88 26.80* 1.96 7.84 0.65 56.86 0.00
12 0.65 25.49* 4.58 2.61 8.50 58.17 0.00
13 12.42 5.23 1.96 1.31 13.73* 65.36 0.00
14 11.76 2.61 2.61 1.31 31.37* 50.33 0.00
15 4.58 9.15 6.54 11.11 14.38* 54.25 0.00
16 2.61 3.92 9.15 29.41* 1.31 53.59 0.00
17 1.96 2.61 1.96 22.22* 1.96 69.28 0.00
18 7.84* 22.88 7.19 37.91 1.31 22.88 0.00
19 1.96 7.19 4.58 39.87* 5.88 40.52 0.00
20 11.76* 2.61 3.27 3.92 1.31 77.12 0.00
21 16.34 7.19* 1.96 1.96 1.96 70.59 0.00
22 5.88 5.88 1.96 27.45* 3.92 54.90 0.00
23 2.61 2.61 11.11* 4.58 8.50 70.59 0.00
24 10.46 7.84* 3.27 1.31 0.00 77.12 0.00
25 3.92 5.88 7.19 3.27* 0.00 79.74 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
2005 AMC 12 A Results for North Carolina
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses by 779 Student(s), Grade 12^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.13 0.00 1.16 96.92* 0.77 1.03 0.00
2 0.13 93.71* 2.57 2.95 0.26 0.39 0.00
3 4.24 49.17* 8.99 2.57 5.13 29.91 0.00
4 72.14* 3.21 22.98 0.64 0.39 0.64 0.00
5 2.05 75.87* 14.38 0.90 0.39 6.42 0.00
6 4.62 53.40* 2.70 2.95 6.93 29.40 0.00
7 3.59 2.31 73.43* 0.64 1.03 19.00 0.00
8 3.21 6.42 3.47 21.05* 1.93 63.93 0.00
9 36.97* 3.21 9.88 2.44 1.03 46.47 0.00
10 4.75 34.53* 3.08 3.98 1.67 51.99 0.00
11 8.09 5.52 3.47 5.78 31.96* 45.06 0.13
12 9.50 2.57 2.82 37.23* 13.22 34.66 0.00
13 1.80 2.18 3.72 30.94* 3.47 57.89 0.00
14 3.21 3.59 27.98 13.99* 2.82 48.40 0.00
15 2.31 4.11 13.09* 6.68 8.47 65.34 0.00
16 2.70 2.82 7.57 8.09* 2.44 76.38 0.00
17 17.97* 7.45 13.86 2.57 2.82 55.33 0.00
18 4.36* 4.75 3.34 2.05 2.05 83.44 0.00
19 9.63 22.34* 8.86 3.08 6.93 49.17 0.00
20 2.82 1.16 2.05 1.28 3.08* 89.60 0.00
21 2.95 4.75 4.62* 2.57 1.03 84.08 0.00
22 3.59 5.65* 2.95 3.21 2.18 82.41 0.00
23 3.72 4.62* 2.44 2.57 3.98 82.54 0.13
24 0.51 1.80* 2.57 1.80 0.77 92.55 0.00
25 2.70 3.08 2.31* 1.41 1.03 89.47 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
2005 AMC 12 A Results for North Carolina
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses by 974 Student(s), Grade 11^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.41 0.51 0.92 95.07* 1.13 1.95 0.00
2 0.31 95.07* 1.23 2.36 0.31 0.72 0.00
3 5.03 40.55* 10.37 3.70 4.93 35.42 0.00
4 65.71* 3.49 28.54 0.82 0.31 1.13 0.00
5 1.85 72.48* 16.53 1.03 0.51 7.60 0.00
6 4.62 48.25* 3.39 3.39 7.49 32.85 0.00
7 4.72 1.75 69.10* 0.62 1.13 22.69 0.00
8 2.77 4.00 4.21 18.69* 1.64 68.69 0.00
9 32.55* 4.00 9.34 2.57 0.41 51.13 0.00
10 3.29 30.90* 2.26 4.52 1.13 57.91 0.00
11 7.80 3.80 3.70 4.31 33.98* 46.41 0.00
12 10.16 2.05 1.54 35.93* 13.55 36.76 0.00
13 1.33 1.75 4.31 29.57* 3.39 59.65 0.00
14 3.39 5.13 30.18 10.37* 3.18 47.64 0.10
15 1.95 3.80 12.32* 6.37 7.08 68.48 0.00
16 3.08 2.57 8.52 5.85* 2.67 77.31 0.00
17 17.35* 9.96 13.14 4.11 4.11 51.13 0.21
18 4.72* 4.00 2.46 2.05 1.85 84.91 0.00
19 7.91 22.18* 9.55 5.03 5.95 49.38 0.00
20 3.08 2.57 1.33 0.72 1.95* 90.35 0.00
21 4.11 5.24 3.80* 1.44 0.51 84.91 0.00
22 5.03 4.93* 2.36 2.98 1.75 82.96 0.00
23 6.57 5.44* 3.29 2.26 4.00 78.44 0.00
24 0.21 1.03* 1.64 2.87 0.62 93.63 0.00
25 2.98 1.75 1.75* 1.64 0.82 91.07 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
2005 AMC 12 A Results for North Carolina
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses by 148 Student(s), Grade 10^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.00 0.00 2.70 95.27* 0.68 1.35 0.00
2 0.00 97.97* 1.35 0.68 0.00 0.00 0.00
3 2.70 43.24* 12.16 2.70 4.73 34.46 0.00
4 72.97* 2.70 23.65 0.68 0.00 0.00 0.00
5 2.70 73.65* 16.89 1.35 0.00 5.41 0.00
6 6.08 51.35* 1.35 2.03 5.41 33.78 0.00
7 2.03 0.00 79.73* 0.68 0.68 16.89 0.00
8 2.70 5.41 2.70 27.03* 0.00 62.16 0.00
9 38.51* 4.73 12.16 1.35 0.68 42.57 0.00
10 1.35 33.11* 3.38 4.05 2.70 55.41 0.00
11 6.08 2.70 2.70 2.03 35.14* 51.35 0.00
12 13.51 2.03 0.68 44.59* 8.11 31.08 0.00
13 0.00 0.68 6.08 32.43* 0.68 60.14 0.00
14 2.03 2.70 31.08 12.84* 4.73 46.62 0.00
15 3.38 2.70 21.62* 8.78 6.76 56.76 0.00
16 4.73 0.68 12.84 6.76* 2.70 72.30 0.00
17 16.22* 8.78 15.54 4.05 3.38 52.03 0.00
18 4.73* 6.76 2.03 0.68 1.35 84.46 0.00
19 12.16 18.92* 9.46 5.41 8.11 45.27 0.68
20 2.70 0.68 1.35 0.68 4.05* 90.54 0.00
21 3.38 4.05 7.43* 2.03 0.68 82.43 0.00
22 4.05 4.05* 3.38 0.68 2.03 85.81 0.00
23 3.38 5.41* 3.38 4.05 6.08 77.70 0.00
24 0.00 1.35* 1.35 2.70 0.00 94.59 0.00
25 3.38 1.35 0.00* 2.70 0.00 92.57 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
2005 AMC 12 A Results for North Carolina
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses by 5 Student(s), Grade 9^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.00 0.00 0.00 100.00* 0.00 0.00 0.00
2 0.00 100.00* 0.00 0.00 0.00 0.00 0.00
3 0.00 60.00* 0.00 0.00 0.00 40.00 0.00
4 100.00* 0.00 0.00 0.00 0.00 0.00 0.00
5 0.00 80.00* 0.00 0.00 0.00 20.00 0.00
6 0.00 80.00* 0.00 0.00 0.00 20.00 0.00
7 0.00 0.00 60.00* 0.00 0.00 40.00 0.00
8 0.00 0.00 0.00 60.00* 0.00 40.00 0.00
9 80.00* 0.00 0.00 0.00 0.00 20.00 0.00
10 0.00 60.00* 0.00 0.00 0.00 40.00 0.00
11 20.00 20.00 0.00 0.00 20.00* 40.00 0.00
12 0.00 0.00 0.00 80.00* 0.00 20.00 0.00
13 0.00 0.00 0.00 60.00* 0.00 40.00 0.00
14 0.00 0.00 20.00 40.00* 0.00 40.00 0.00
15 0.00 0.00 40.00* 0.00 0.00 60.00 0.00
16 0.00 0.00 0.00 0.00* 0.00 100.00 0.00
17 60.00* 0.00 0.00 0.00 0.00 40.00 0.00
18 20.00* 0.00 0.00 0.00 20.00 60.00 0.00
19 0.00 0.00* 0.00 0.00 0.00 100.00 0.00
20 0.00 0.00 0.00 0.00 20.00* 80.00 0.00
21 0.00 0.00 20.00* 0.00 0.00 80.00 0.00
22 0.00 20.00* 0.00 0.00 0.00 80.00 0.00
23 0.00 40.00* 0.00 0.00 0.00 60.00 0.00
24 0.00 0.00* 0.00 0.00 0.00 100.00 0.00
25 0.00 0.00 0.00* 0.00 0.00 100.00 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
2005 AMC 12 A Results for North Carolina
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses by 1000 Student(s), MALES
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.40 0.20 1.00 97.10* 1.00 0.30 0.00
2 0.20 94.70* 2.10 2.20 0.40 0.40 0.00
3 4.60 51.30* 9.20 2.20 4.40 28.30 0.00
4 68.50* 3.20 26.70 0.50 0.40 0.70 0.00
5 2.30 80.50* 10.70 0.90 0.50 5.10 0.00
6 3.70 59.90* 2.20 2.90 7.50 23.80 0.00
7 3.40 1.40 76.60* 0.60 0.80 17.20 0.00
8 3.00 5.30 4.10 24.90* 1.90 60.80 0.00
9 40.60* 4.20 9.70 2.10 0.80 42.60 0.00
10 3.80 38.90* 3.20 4.70 1.70 47.70 0.00
11 7.00 3.50 3.80 5.30 38.90* 41.40 0.10
12 10.60 2.40 2.10 41.50* 12.00 31.40 0.00
13 1.10 1.90 3.40 31.20* 2.90 59.50 0.00
14 2.90 4.30 29.00 14.10* 3.30 46.30 0.10
15 2.80 2.70 14.40* 6.40 6.80 66.90 0.00
16 2.90 2.30 8.10 7.70* 2.60 76.40 0.00
17 22.50* 7.60 13.80 3.40 2.60 49.90 0.20
18 5.30* 4.20 2.50 1.70 1.50 84.80 0.00
19 9.40 24.50* 8.60 3.00 6.20 48.20 0.10
20 3.50 1.90 1.70 1.00 3.70* 88.20 0.00
21 2.60 4.60 5.30* 2.20 0.80 84.50 0.00
22 3.40 5.10* 2.70 3.50 2.00 83.30 0.00
23 4.90 6.60* 3.50 1.80 4.50 78.70 0.00
24 0.40 1.20* 2.30 2.50 0.70 92.90 0.00
25 3.90 2.40 2.00* 1.20 0.50 90.00 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
2005 AMC 12 A Results for North Carolina
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses by 827 Student(s), Females
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.12 0.36 1.45 94.44* 0.97 2.66 0.00
2 0.24 94.44* 1.45 3.02 0.12 0.73 0.00
3 4.47 35.19* 11.25 4.11 5.93 39.06 0.00
4 70.62* 2.90 24.67 1.09 0.24 0.48 0.00
5 1.69 66.02* 21.16 1.09 0.36 9.67 0.00
6 6.17 39.90* 3.75 2.90 6.53 40.75 0.00
7 4.84 2.30 65.90* 0.48 1.45 25.03 0.00
8 2.90 4.59 3.14 14.99* 1.45 72.91 0.00
9 28.05* 3.26 9.79 3.02 0.48 55.38 0.00
10 3.39 25.15* 2.18 3.87 1.33 64.09 0.00
11 8.59 5.68 3.39 3.87 26.00* 52.48 0.00
12 10.28 2.18 1.45 32.16* 14.15 39.78 0.00
13 1.69 1.69 5.32 29.50* 3.26 58.52 0.00
14 3.14 4.35 29.75 9.67* 2.90 50.18 0.00
15 1.69 5.32 11.85* 7.38 7.98 65.78 0.00
16 2.90 2.66 8.22 5.80* 2.78 77.63 0.00
17 11.49* 10.28 12.82 3.75 4.59 57.07 0.00
18 3.99* 4.72 2.90 2.18 2.66 83.56 0.00
19 8.10 18.14* 10.16 5.80 6.77 51.03 0.00
20 1.93 1.69 1.45 0.97 1.57* 92.38 0.00
21 4.47 4.96 3.02* 1.81 0.73 85.01 0.00
22 5.32 5.32* 2.66 2.06 1.93 82.71 0.00
23 5.56 3.39* 2.06 3.26 3.75 81.86 0.12
24 0.24 1.21* 1.81 1.93 0.48 94.32 0.00
25 1.45 2.18 1.57* 1.93 1.21 91.66 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
2005 AMC 12 A Results for North Carolina
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses by 153 Student(s), Unknown Gender
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.00 0.00 0.00 96.73* 0.65 2.61 0.00
2 0.00 96.73* 1.96 1.31 0.00 0.00 0.00
3 3.92 54.90* 7.19 3.92 1.96 28.10 0.00
4 64.71* 5.88 24.84 0.00 0.00 4.58 0.00
5 0.65 80.39* 14.38 0.65 1.31 2.61 0.00
6 2.61 50.33* 2.61 7.19 7.19 30.07 0.00
7 3.27 1.31 79.74* 1.96 0.65 13.07 0.00
8 3.27 4.58 5.23 28.76* 0.65 57.52 0.00
9 41.18* 3.92 7.19 0.00 1.96 45.75 0.00
10 3.27 37.91* 1.96 5.23 0.65 50.98 0.00
11 8.50 2.61 1.31 6.54 47.06* 33.99 0.00
12 10.46 1.96 3.27 37.25* 15.03 32.03 0.00
13 2.61 1.31 1.31 37.91* 3.92 52.94 0.00
14 3.92 3.92 24.84 13.07* 2.61 51.63 0.00
15 1.31 3.27 16.99* 2.61 11.11 64.71 0.00
16 3.92 3.92 13.07 7.19* 0.65 71.24 0.00
17 24.84* 5.23 13.73 2.61 3.27 50.33 0.00
18 3.92* 5.88 5.23 3.92 0.00 81.05 0.00
19 9.15 33.33* 7.19 5.23 4.58 40.52 0.00
20 3.92 1.96 1.96 0.00 2.61* 88.89 0.65
21 5.23 6.54 9.15* 0.00 0.00 79.08 0.00
22 4.58 7.19* 1.31 3.27 3.27 80.39 0.00
23 2.61 11.11* 3.92 3.27 3.27 75.82 0.00
24 0.00 2.61* 1.31 3.92 0.65 91.50 0.00
25 3.92 0.65 1.96* 2.61 0.65 90.20 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
2005 AMC 10 B Results for North Carolina
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 8 2
149.0 124.0 99.0 2
148.5 123.5 98.5 6 4
148.0 123.0 1 98.0 8 1
147.5 122.5 1 97.5 1
147.0 122.0 1 97.0 2 4
146.5 121.5 96.5 1
146.0 121.0 96.0 2 9
145.5 120.5 1 95.5 6 3
145.0 120.0 95.0 3 1
144.5 119.5 94.5 3 1
144.0 119.0 94.0 1 1
143.5 118.5 93.5 2 12
143.0 118.0 1 93.0 1 3
142.5 117.5 92.5 6 3
142.0 117.0 2 92.0 6 6
141.5 116.5 91.5 1 8
141.0 116.0 1 1 91.0 5 4
140.5 115.5 90.5 2
140.0 115.0 1 90.0 10 7
139.5 114.5 2 89.5 2 4
139.0 114.0 89.0 2 10
138.5 113.5 88.5 3 2
138.0 1 113.0 88.0 3
137.5 112.5 2 87.5 10 7
137.0 112.0 1 87.0 2 3
136.5 111.5 1 86.5 4 8
136.0 111.0 86.0 2 3
135.5 110.5 85.5 4 7
135.0 110.0 2 1 85.0 8 11
134.5 109.5 84.5 2 4
134.0 109.0 1 2 84.0 7 11
133.5 108.5 2 83.5 2 4
133.0 108.0 1 1 83.0 7 4
132.5 107.5 2 1 82.5 4 4
132.0 1 107.0 82.0 4 2
131.5 106.5 5 3 81.5 7 4
131.0 106.0 81.0 5 4
130.5 105.5 1 80.5 9 12
130.0 105.0 1 1 80.0 5 3
129.5 104.5 1 1 79.5 5 4
129.0 104.0 4 6 79.0 3 6
128.5 103.5 1 78.5 3 6
128.0 103.0 4 78.0 4 5
127.5 102.5 77.5 9 5
127.0 102.0 1 2 77.0 7 5
126.5 101.5 1 76.5 7 3
126.0 101.0 3 2 76.0 3 4
125.5 100.5 4 1 75.5 4 1
American Mathematics Competitions
2005 AMC 10 B Results for North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 3 50.0 2 2 25.0
74.5 4 4 49.5 1 1 24.5
74.0 4 49.0 24.0 1
73.5 5 3 48.5 23.5
73.0 3 3 48.0 3 23.0
72.5 6 2 47.5 3 22.5 2
72.0 8 9 47.0 1 22.0
71.5 5 4 46.5 1 1 21.5
71.0 1 2 46.0 1 2 21.0
70.5 1 1 45.5 1 1 20.5
70.0 2 6 45.0 20.0
69.5 2 3 44.5 2 1 19.5
69.0 5 4 44.0 1 19.0
68.5 2 4 43.5 1 18.5
68.0 3 4 43.0 1 18.0 1
67.5 4 5 42.5 1 17.5
67.0 5 7 42.0 2 1 17.0
66.5 3 2 41.5 1 16.5
66.0 5 8 41.0 1 16.0
65.5 5 2 40.5 15.5
65.0 3 1 40.0 1 2 15.0
64.5 1 3 39.5 14.5
64.0 5 1 39.0 14.0
63.5 1 2 38.5 13.5
63.0 3 3 38.0 2 1 13.0
62.5 2 6 37.5 2 12.5
62.0 4 2 37.0 12.0
61.5 1 2 36.5 11.5
61.0 36.0 5 11.0
60.5 4 2 35.5 1 10.5
60.0 1 5 35.0 1 10.0
59.5 3 34.5 9.5
59.0 1 3 34.0 9.0
58.5 33.5 8.5
58.0 6 33.0 8.0
57.5 2 5 32.5 7.5
57.0 1 3 32.0 7.0
56.5 3 31.5 6.5
56.0 2 2 31.0 6.0 1
55.5 2 1 30.5 5.5
55.0 1 30.0 1 5.0
54.5 2 1 29.5 4.5
54.0 1 5 29.0 4.0
53.5 1 2 28.5 3.5
53.0 2 28.0 1 3.0
52.5 1 1 27.5 2.5
52.0 3 1 27.0 2.0
51.5 26.5 1.5
51.0 2 2 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for North Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
138.0 1
132.0 1
126.0 1
123.0 1
122.5 1
122.0 1
120.5 1
118.0 1
117.0 1 1
116.0 1 1 1
115.0 1
114.5 2
112.5 2 1
112.0 1 1
111.5 1
110.0 1 2
109.0 1 1 2
108.5 1 1
108.0 1 1
107.5 1 1 2 1
106.5 1 8
105.5 1
105.0 1 1
104.5 1 1
104.0 1 1 2 6 1
103.5 1
103.0 1 1 2
102.5 1
102.0 1 3
101.5 1
101.0 1 3 2
100.5 1 4
99.5 3 7 1
99.0 1 1
98.5 1 1 2 7
98.0 1 2 4 2
97.5 1 1
97.0 2 2 2 1
96.5 1
96.0 5 7 3
95.5 2 1 7 2
95.0 2 2
94.5 3 1 1
94.0 1 1
93.5 3 6 7 1
93.0 1 4 1
92.5 3 6
92.0 1 1 4 7
91.5 2 3 4
91.0 3 6 1
90.5 1 1
90.0 1 6 10 2
89.5 1 3 2
89.0 3 1 8 1
88.5 1 2 2 1
88.0 4
87.5 1 7 10 1
87.0 2 2 2
86.5 1 2 5 4
86.0 1 6 2
85.5 2 5 4 1
85.0 3 6 9 1
84.5 1 5
84.0 1 3 7 8
83.5 1 7
83.0 1 2 4 4
82.5 1 4 4
82.0 5 2
81.5 1 2 3 5
81.0 2 4 4
80.5 3 6 12 1
80.0 2 3 4 2
79.5 5 2 2 1
79.0 1 3 5 1
78.5 1 1 3 2 2 3
78.0 3 4 2 1
77.5 3 2 5 4 1
77.0 1 2 3 7 1
76.5 2 5 4 2
76.0 1 1 5
75.5 1 1 1 1 2 1
75.0 1 5 2 1
74.5 1 4 1 2
74.0 1 4 1
73.5 3 5 1
73.0 2 1 3
72.5 5 2 1 1
72.0 1 3 3 5 5 1
71.5 1 3 6
71.0 1 1 1
70.5 1 1
70.0 1 6 1
69.5 1 1 3
69.0 3 2 4
68.5 1 2 3 1
68.0 5 2 1
67.5 1 5 3 1
67.0 1 3 7 1
66.5 2 1 1 2
66.0 2 2 10 1
65.5 1 4 2
65.0 1 1 1 1
64.5 1 2 1 1
64.0 3 3
63.5 1 2
63.0 2 4 1
62.5 1 4 4
62.0 1 3 3
61.5 1 1 1
61.0 1
60.5 1 1 4
60.0 2 3 1
59.5 1 1 1
59.0 1 4
58.0 2 2 2
57.5 1 3 3 1
57.0 1 3
56.5 1 2 1
56.0 2 2
55.5 3
55.0 1
54.5 3
54.0 1 2 1 2
53.5 1 1 1
53.0 1 1
52.5 1 1
52.0 1 2 1
51.0 1 3 1
50.5 1 1
50.0 3 1
49.5 1 1
48.0 1 1 1
47.5 3
47.0 1
46.5 2
46.0 1 1 1
45.5 2
44.5 2 1
44.0 1
43.5 1
43.0 1
42.5 1
42.0 1 2 1
41.5 1
41.0 1
40.0 2 1
38.0 1 1 1
37.5 1 1
36.0 1 2 2
35.5 1
35.0 1
30.0 1
28.0 1
24.0 1
22.5 1 1
18.0 1
6.0 1
American Mathematics Competitions
2005 AMC 10 B Results for North Carolina
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 8.88* 0.27 0.32 0.12 0.30 0.11 0.00
2 0.13 0.24 0.05 8.87* 0.20 0.50 0.00
3 0.02 0.76 1.76 6.09* 1.02 0.35 0.00
4 0.90 0.13 0.65 5.39* 0.21 2.73 0.00
5 0.09 0.03 9.08* 0.13 0.33 0.34 0.00
6 0.21 8.51* 0.21 0.31 0.16 0.60 0.00
7 1.20 1.47* 0.38 1.18 0.77 4.99 0.00
8 6.19* 0.19 1.15 0.03 0.15 2.29 0.00
9 0.48 0.72 1.66 5.29* 0.57 1.27 0.00
10 0.93* 0.93 0.54 0.42 0.35 6.83 0.00
11 0.27 0.73 0.34 1.92 1.92* 4.82 0.00
12 0.64 1.29 0.57 0.35 0.27* 6.88 0.00
13 0.53 0.71 1.89* 1.70 0.38 4.79 0.00
14 0.48 0.31 1.66* 1.99 0.53 5.03 0.00
15 1.39 0.55 0.67 4.16* 0.53 2.71 0.00
16 0.39 0.79 0.96 0.36* 0.07 7.43 0.00
17 0.32 3.04* 0.80 0.53 0.28 5.03 0.00
18 0.32 4.90 1.13 2.04* 0.46 1.16 0.00
19 0.42 5.96* 0.67 0.39 0.42 2.15 0.00
20 0.67 0.31 1.22* 0.33 0.39 7.09 0.00
21 0.35* 0.36 0.35 0.34 0.21 8.39 0.00
22 0.68 1.07 0.44* 0.35 0.23 7.23 0.00
23 2.92 0.47 0.45* 0.37 0.23 5.54 0.01
24 0.46 0.27 0.28 0.42 1.54* 7.02 0.00
25 0.30 0.38 3.89* 0.21 0.24 4.98 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 North Carolina
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 8 2
149.0 124.0 99.0
148.5 123.5 98.5 7 3
148.0 123.0 98.0 1 4
147.5 122.5 97.5 1
147.0 122.0 97.0 8 2
146.5 121.5 96.5
146.0 121.0 96.0 7 4
145.5 120.5 95.5 1
145.0 120.0 95.0 11 9
144.5 119.5 94.5 2 2
144.0 119.0 94.0 2 3
143.5 118.5 93.5 4 3
143.0 118.0 93.0
142.5 117.5 92.5 14 11
142.0 117.0 1 92.0 3
141.5 116.5 91.5 7 8
141.0 116.0 91.0 6 5
140.5 115.5 1 90.5 2 4
140.0 115.0 1 90.0 13 9
139.5 114.5 89.5
139.0 114.0 89.0 15 9
138.5 113.5 88.5 5
138.0 113.0 88.0 3 3
137.5 112.5 87.5 7 7
137.0 112.0 1 87.0 3 2
136.5 111.5 5 1 86.5 11 10
136.0 111.0 86.0 2
135.5 110.5 85.5 6 3
135.0 110.0 2 1 85.0 3 1
134.5 109.5 84.5 4 1
134.0 109.0 6 1 84.0 7 4
133.5 1 108.5 83.5 1
133.0 108.0 5 4 83.0 13 12
132.5 107.5 2 82.5 7 2
132.0 107.0 82.0 3 3
131.5 106.5 2 81.5 1 9
131.0 1 106.0 81.0 3 2
130.5 105.5 7 1 80.5 10 5
130.0 105.0 1 80.0 2 1
129.5 104.5 6 4 79.5 9 4
129.0 104.0 79.0 6 3
128.5 103.5 1 78.5 4 2
128.0 103.0 4 78.0 13 4
127.5 102.5 77.5 3
127.0 102.0 10 1 77.0 15 6
126.5 101.5 76.5 3 2
126.0 101.0 5 5 76.0 6 7
125.5 1 100.5 5 3 75.5 2 5
American Mathematics Competitions
2005 AMC 12 B Results for North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 4 50.0 25.0
74.5 3 8 49.5 1 24.5
74.0 49.0 24.0
73.5 2 7 48.5 23.5
73.0 2 2 48.0 1 23.0 1
72.5 2 2 47.5 1 22.5
72.0 3 8 47.0 22.0
71.5 46.5 1 21.5
71.0 4 3 46.0 21.0
70.5 4 4 45.5 20.5
70.0 2 4 45.0 20.0
69.5 2 44.5 19.5
69.0 1 44.0 1 19.0
68.5 2 2 43.5 18.5
68.0 2 43.0 1 18.0
67.5 3 2 42.5 17.5
67.0 5 3 42.0 17.0
66.5 2 2 41.5 16.5
66.0 11 2 41.0 1 16.0
65.5 1 6 40.5 1 15.5
65.0 2 3 40.0 15.0
64.5 1 2 39.5 14.5
64.0 1 2 39.0 14.0
63.5 1 2 38.5 1 13.5
63.0 1 1 38.0 13.0
62.5 1 1 37.5 12.5
62.0 1 1 37.0 12.0
61.5 1 1 36.5 11.5
61.0 3 36.0 1 11.0
60.5 1 35.5 10.5
60.0 1 3 35.0 10.0
59.5 4 34.5 9.5
59.0 1 34.0 9.0
58.5 33.5 8.5
58.0 1 33.0 8.0
57.5 1 32.5 7.5
57.0 2 1 32.0 7.0
56.5 1 2 31.5 6.5
56.0 31.0 6.0
55.5 1 30.5 1 5.5
55.0 1 30.0 5.0
54.5 1 29.5 4.5
54.0 1 29.0 4.0
53.5 2 28.5 3.5
53.0 1 1 28.0 3.0
52.5 27.5 2.5
52.0 27.0 2.0
51.5 1 26.5 1.5
51.0 1 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for North Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
133.5 1
131.0 1
125.5 1
117.0 1
115.5 1
115.0 1
112.0 1
111.5 1 2 1 2
110.0 3
109.0 1 1 6
108.0 4 5
107.5 1 1
106.5 2
105.5 3 5
105.0 1
104.5 1 2 8
103.5 1
103.0 3 1
102.0 8 4
101.0 1 1 4 5
100.5 1 2 5
99.5 1 2 7
99.0 1
98.5 2 5 4
98.0 2 3
97.5 3 1
97.0 2 3 6
96.0 2 8 4 1
95.5 1
95.0 2 12 7
94.5 1 1 2
94.0 2 3
93.5 6 1
92.5 2 14 9
92.0 1 2
91.5 1 2 7 5
91.0 4 7
90.5 3 3
90.0 2 12 8 1
89.0 17 8
88.5 2 1 2
88.0 1 5 1
87.5 2 8 5
87.0 3 2
86.5 2 9 10
86.0 2
85.5 2 6 1
85.0 4
84.5 3 2
84.0 7 5
83.5 1
83.0 1 18 6
82.5 2 3 4
82.0 1 3 3 1
81.5 4 6
81.0 6 1
80.5 1 3 13
80.0 2 1
79.5 9 6
79.0 1 3 5
78.5 3 3
78.0 1 1 10 5
77.5 2 1
77.0 2 9 10
76.5 3 3 1
76.0 1 2 10 1
75.5 4 3
75.0 4 2
74.5 1 5 5
73.5 1 7 1
73.0 4
72.5 1 3
72.0 9 2
71.0 4 3
70.5 1 7
70.0 5 1
69.5 2
69.0 1
68.5 4 1
68.0 1 1 1
67.5 1 2 2 1
67.0 5 3
66.5 3 1
66.0 7 6
65.5 5 1 1
65.0 1 2 2
64.5 3 1
64.0 1 2
63.5 2 1
63.0 1 1
62.5 2 5
62.0 1 1
61.5 1 1
61.0 2 1
60.5 2
60.0 3 1
59.5 2 2
59.0 1
58.0 1
57.5 1
57.0 3 1
56.5 2 1
55.5 1
55.0 1
54.5 2
54.0 1
53.5 2
53.0 2
51.5 1
51.0 1
50.5 1
49.5 1
48.0 1
47.5 1
46.5 1
44.0 1
43.0 1
41.0 1
40.5 1
38.5 1
36.0 1
30.5 1
23.0 1
American Mathematics Competitions
2005 AMC 12 B Results for North Carolina
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 9.29* 0.15 0.23 0.07 0.16 0.11 0.00
2 0.08 0.07 0.05 9.39* 0.13 0.28 0.00
3 0.07 0.00 9.31* 0.13 0.27 0.23 0.00
4 0.07 9.25* 0.12 0.11 0.12 0.32 0.01
5 8.35* 0.03 0.53 0.07 0.03 1.00 0.00
6 3.04* 0.83 0.51 0.32 0.21 5.09 0.00
7 1.23 1.72 0.24 2.20* 0.43 4.19 0.00
8 1.09 1.64 4.87* 0.04 0.89 1.47 0.00
9 0.23 8.20* 0.37 0.32 0.15 0.73 0.00
10 0.12 0.61 0.11 2.24 3.75* 3.17 0.00
11 1.31 1.23 0.60 3.93* 0.39 2.55 0.00
12 0.43 0.44 0.83 0.72* 0.09 7.48 0.01
13 0.45 0.35 0.17 1.99* 0.21 6.83 0.00
14 0.88 0.96 0.77 0.43 1.20* 5.76 0.00
15 0.43 0.28 0.29 4.79* 0.56 3.65 0.00
16 0.28 0.17 0.76 0.45* 0.28 8.05 0.00
17 0.41 0.44* 0.37 0.16 0.64 7.97 0.00
18 1.80 0.48 0.49* 0.19 0.27 6.77 0.00
19 0.24 0.15 0.17 0.23 2.28* 6