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Missing Title
American Mathematics Competitions
2005 AMC 10 A Results for South Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 831
Number of unofficial participants: 0
Average score of participants: 69.7
Average score for female students is: 66.5 ( 408 Students)
Average score for male students is: 73.3 ( 397 Students)
Average score for unspecified gender is 65.1 ( 26 Students)
Average score for grade 10 is: 71.0 ( 432 Students)
Average score for grade 9 is: 66.0 ( 331 Students)
Average score for grade 8 and below is: 83.8 ( 52 Students)
Average score with unknown grade: 65.1 ( 16 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 4
Number of schools returning results 23
Average school winning score 105.24
American Mathematics Competitions
2005 AMC 12 A Results for South Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 966
Number of unofficial participants: 0
Average score of participants: 74.1
Average score for female students is: 70.8 ( 409 Students)
Average score for male students is: 77.6 ( 471 Students)
Average score for unspecified gender is 70.7 ( 86 Students)
Average score for grade 12 is: 77.9 ( 364 Students)
Average score for grade 11 is: 72.0 ( 477 Students)
Average score for grade 10 is: 70.0 ( 43 Students)
Average score for grade 9 is: 76.3 ( 28 Students)
Average score with unknown grade: 69.5 ( 54 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 53
Number of schools returning results 26
Average school winning score 105.17
Average school team score 298.90
American Mathematics Competitions
2005 AMC 10 B Results for South Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 217
Number of unofficial participants: 0
Average score of participants: 78.3
Average score for female students is: 74.9 ( 110 Students)
Average score for male students is: 82.3 ( 98 Students)
Average score for unspecified gender is 76.0 ( 9 Students)
Average score for grade 10 is: 78.7 ( 122 Students)
Average score for grade 9 is: 78.6 ( 83 Students)
Average score for grade 8 and below is: 75.9 ( 5 Students)
Average score with unknown grade: 68.8 ( 7 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 10
Average school winning score 100.90
American Mathematics Competitions
2005 AMC 12 B Results for South Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 391
Number of unofficial participants: 0
Average score of participants: 81.3
Average score for female students is: 78.1 ( 162 Students)
Average score for male students is: 85.4 ( 170 Students)
Average score for unspecified gender is 78.2 ( 59 Students)
Average score for grade 12 is: 83.3 ( 193 Students)
Average score for grade 11 is: 80.2 ( 179 Students)
Average score for grade 10 is: 64.5 ( 13 Students)
Average score for grade 9 is: 89.2 ( 3 Students)
Average score for grade 8 and below is: 97.0 ( 1 Student)
Average score with unknown grade: 86.8 ( 2 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 28
Number of schools returning results 16
Average school winning score 106.00
Average school team score 302.16
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
396.0 1 1
365.5 1 2
359.5 1 3
344.0 1 4
339.5 1 5
336.5 1 6
334.5 1 7
328.5 1 8
324.5 1 9
323.5 1 10
319.0 1 11
317.5 1 12
316.5 1 13
314.0 1 14
310.5 1 15
306.0 1 16
304.5 1 17
303.5 1 18
301.5 1 19
299.5 1 20
297.5 1 1 21
295.5 1 23
295.0 1 24
293.5 1 2 25
293.0 1 28
290.5 1 29
288.0 2 30
286.0 1 32
283.5 1 33
275.5 1 34
270.0 1 35
267.5 1 36
264.5 1 37
262.0 1 38
260.5 1 39
247.5 1 40
221.0 1 41
198.0 1 42
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
139.5 1
138.0 1
133.5 1
132.5 1
130.0 1
129.0 1
127.5 1 1
124.0 1 1
122.5 1
122.0 1 1
120.5 1
119.5 1 1
118.5 1 1
118.0 1
117.0 1 1
116.0 2 1
115.0 3
114.5 1
113.5 1 2
113.0 1
112.5 2 1
112.0 1
111.5 1 1 1
111.0 1
110.0 1 1 1
109.5 1
109.0 2 1
108.5 1 1
108.0 2 4 2
107.5 2 1
107.0 1
106.5 5 1 1 2
106.0 1 1 1
105.5 4 1 2
105.0 1
104.5 2
104.0 1 2 4 1
103.0 1 3 2 4
102.5 1 1
102.0 6 2 2 1
101.5 2
101.0 6 3
100.5 2 1
99.5 6 5 3 2
99.0 3 2
98.5 5 7 4 2
98.0 2 5 4
97.5 3 2 1
97.0 5 6 3 3
96.5 2
96.0 5 11 2 4
95.5 1
95.0 12 14 4
94.5 1 3 2 3
94.0 4 1 2
93.5 7 2 3 1
92.5 7 12 7 9
92.0 1 1 1 2
91.5 10 5 6
91.0 3 2 2 3
90.5 4 2 3 2
90.0 13 7 7 4
89.5 2 1
89.0 22 16 7 6
88.5 2 2 4
88.0 15 6 6 1
87.5 7 4 3 6
87.0 6 1
86.5 5 9 5 6
86.0 1 1 4 1
85.5 13 13 5 6
85.0 3 2 5 1
84.5 14 4 10 1
84.0 13 7 11 4
83.5 6 2 1
83.0 20 18 8 4
82.5 2 1 3 1
82.0 25 8 6 2
81.5 5 4 7 1
81.0 12 9 14 1
80.5 18 13 15 5
80.0 8 1 6 2
79.5 17 5 16 3
79.0 4 7 3
78.5 13 8 15 4
78.0 5 3 2 2
77.5 17 3 5 1
77.0 15 9 10 2
76.5 8 3 3
76.0 21 6 12 3
75.5 7 3 6 2
75.0 13 3 22 1
74.5 13 6 11 5
74.0 16 2 9 3
73.5 16 5 17 3
73.0 5 2 3 5
72.5 18 2 15 2
72.0 9 4 10 5
71.5 19 4 8
71.0 17 7 13 1
70.5 4 6 7 3
70.0 27 4 17
69.5 9 4 4
69.0 15 1 8 2
68.5 13 4 12 2
68.0 7 3 13 2
67.5 16 3 14 2
67.0 4 4 12 3
66.5 14 1 15 1
66.0 9 7 4 1
65.5 13 1 9 1
65.0 12 1 11 3
64.5 6 4 3 2
64.0 11 1 17 1
63.5 7 2 4 3
63.0 10 2 11 2
62.5 18 5 10 1
62.0 4 1 5
61.5 12 13 2
61.0 3 1 5 4
60.5 16 1 7 1
60.0 16 1 8
59.5 7 6
59.0 7 2 10 1
58.5 2 1 10 2
58.0 7 2 11
57.5 5 6 2
57.0 4 8 1
56.5 10 10 1
56.0 4 3 1
55.5 7 1 7
55.0 6 6 1
54.5 2 1 7 2
54.0 6 1 9 4
53.5 2 8
53.0 2 1 7
52.5 2 6
52.0 4 2 7
51.5 3 2 3
51.0 2 1 1
50.5 9 2 6
50.0 2 1 6 2
49.5 4 6
49.0 5 1 2 1
48.5 2 1 4
48.0 3 1 10 1
47.5 2 1 1
47.0 2 3 1
46.0 2 4 1
45.5 3 3 2
45.0 1 2
44.5 3 1
44.0 1 1 2
43.5 2 1
43.0 1 2
42.5 3
42.0 4 2 8
41.5 2
41.0 1
40.5 2 1
40.0 1
39.0 1 3
38.5 1 1
38.0 1 1
37.5 1 1
37.0 2
36.5 1 1
36.0 1 4
35.5 3
35.0 2
34.5 1 1
34.0 1
33.0 2 1
32.5 2
31.5 1
30.0 4 1 1 1
29.5 2
29.0 3
28.0 1
27.5 1
27.0 1
26.5 1
26.0 1
25.5 1
24.0 3 1 1
23.0 1
21.0 1
20.5 1
18.0 1
15.0 1
12.0 1
American Mathematics Competitions
2005 AMC 10 A Results for South 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 2 1
149.0 124.0 99.0 3
148.5 123.5 98.5 2 2
148.0 123.0 98.0 4 1
147.5 122.5 1 97.5 1
147.0 122.0 97.0 2 1
146.5 121.5 96.5 1 1
146.0 121.0 96.0 2
145.5 120.5 95.5
145.0 120.0 95.0 4
144.5 119.5 94.5 1 1
144.0 119.0 94.0 2
143.5 118.5 1 93.5 1 2
143.0 118.0 1 93.0
142.5 117.5 92.5 5 1
142.0 117.0 92.0 1
141.5 116.5 91.5 6
141.0 116.0 1 91.0 2
140.5 115.5 90.5 3
140.0 115.0 90.0 5 2
139.5 1 114.5 1 89.5 1 1
139.0 114.0 89.0 4 3
138.5 113.5 2 88.5 1 3
138.0 1 113.0 1 88.0 4 2
137.5 112.5 87.5 3
137.0 112.0 1 87.0
136.5 111.5 86.5 1 4
136.0 111.0 1 86.0 3 1
135.5 110.5 85.5 2 2
135.0 110.0 1 85.0 2 3
134.5 109.5 1 84.5 2 8
134.0 109.0 84.0 5 6
133.5 108.5 83.5 1
133.0 108.0 83.0 5 3
132.5 107.5 1 82.5 3
132.0 107.0 82.0 2 4
131.5 106.5 1 81.5 7
131.0 106.0 1 81.0 9 5
130.5 105.5 80.5 6 9
130.0 105.0 1 80.0 5
129.5 104.5 79.5 7 9
129.0 104.0 3 1 79.0 2 5
128.5 103.5 78.5 5 10
128.0 103.0 2 78.0 2
127.5 1 102.5 1 77.5 3 2
127.0 102.0 2 77.0 5 4
126.5 101.5 2 76.5 1 2
126.0 101.0 76.0 7 5
125.5 100.5 1 75.5 5 1
American Mathematics Competitions
2005 AMC 10 A Results for South Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 14 50.0 3 2 25.0
74.5 5 6 49.5 3 3 24.5
74.0 5 4 49.0 2 24.0 1
73.5 9 6 48.5 1 3 23.5
73.0 1 2 48.0 5 5 23.0
72.5 7 8 47.5 1 22.5
72.0 4 4 47.0 3 22.0
71.5 4 4 46.5 21.5
71.0 9 4 46.0 1 3 21.0 1
70.5 3 4 45.5 1 2 20.5
70.0 9 7 45.0 1 1 20.0
69.5 1 3 44.5 19.5
69.0 2 6 44.0 2 19.0
68.5 9 3 43.5 1 18.5
68.0 5 8 43.0 2 18.0 1
67.5 7 7 42.5 17.5
67.0 4 7 42.0 2 5 17.0
66.5 6 6 41.5 2 16.5
66.0 2 1 41.0 1 16.0
65.5 6 2 40.5 1 15.5
65.0 6 3 40.0 1 15.0 1
64.5 3 39.5 14.5
64.0 7 9 39.0 3 14.0
63.5 3 1 38.5 13.5
63.0 5 5 38.0 1 13.0
62.5 3 7 37.5 1 12.5
62.0 5 37.0 12.0 1
61.5 9 4 36.5 1 11.5
61.0 2 3 36.0 2 2 11.0
60.5 3 4 35.5 2 1 10.5
60.0 3 4 35.0 1 1 10.0
59.5 3 3 34.5 9.5
59.0 3 7 34.0 1 9.0
58.5 5 5 33.5 8.5
58.0 4 6 33.0 1 8.0
57.5 1 5 32.5 1 1 7.5
57.0 3 5 32.0 7.0
56.5 5 4 31.5 1 6.5
56.0 1 2 31.0 6.0
55.5 3 4 30.5 5.5
55.0 5 30.0 1 5.0
54.5 1 6 29.5 1 1 4.5
54.0 3 6 29.0 3 4.0
53.5 2 6 28.5 3.5
53.0 2 5 28.0 3.0
52.5 3 3 27.5 1 2.5
52.0 3 4 27.0 2.0
51.5 1 2 26.5 1 1.5
51.0 1 26.0 1.0
50.5 2 4 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for South Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
139.5 1
138.0 1
127.5 1
122.5 1
118.5 1
118.0 1
116.0 1
114.5 1
113.5 2
113.0 1
112.0 1
111.0 1
110.0 1
109.5 1
107.5 1
106.5 1
106.0 1
105.0 1
104.0 4
103.0 2
102.5 1
102.0 1 1
101.5 1 1
100.5 1
99.5 1 2
99.0 3
98.5 1 3
98.0 3 2
97.5 1
97.0 1 2
96.5 1 1
96.0 2
95.0 1 3
94.5 1 1
94.0 2
93.5 1 1 1
92.5 1 5 1
92.0 1
91.5 2 4
91.0 2
90.5 2 1
90.0 4 3
89.5 1 1
89.0 1 6
88.5 3 1
88.0 1 3 2
87.5 1 2
86.5 2 2 1
86.0 1 3
85.5 2 2 1
85.0 5
84.5 2 3 4 1
84.0 1 1 9
83.5 1
83.0 3 5
82.5 1 2
82.0 1 2 3
81.5 1 6
81.0 5 9
80.5 2 3 10
80.0 2 3 1
79.5 4 12
79.0 1 1 5
78.5 7 8
78.0 2
77.5 1 4
77.0 1 3 6
76.5 1 2
76.0 2 5 5
75.5 4 2
75.0 13 9
74.5 2 5 4
74.0 1 1 7
73.5 4 4 9
73.0 3
72.5 8 7
72.0 6 3 1
71.5 3 5
71.0 1 4 8
70.5 1 3 3
70.0 1 7 9
69.5 2 2
69.0 4 4
68.5 1 4 7
68.0 6 7
67.5 2 7 5
67.0 4 8
66.5 6 8 1
66.0 1 3
65.5 7 2
65.0 4 6 1
64.5 2 1
64.0 1 5 11
63.5 1 3
63.0 1 5 5
62.5 3 7
62.0 2 3
61.5 4 8 1
61.0 4 1
60.5 5 2
60.0 3 5
59.5 5 1
59.0 1 5 4
58.5 7 3
58.0 4 5 2
57.5 3 3
57.0 3 5
56.5 1 9
56.0 2 1
55.5 1 5 1
55.0 3 2 1
54.5 3 4
54.0 4 5
53.5 4 4
53.0 5 2
52.5 2 4
52.0 5 2
51.5 2 1
51.0 1
50.5 3 3
50.0 4 2
49.5 1 3 2
49.0 1 1
48.5 2 2
48.0 4 6
47.5 1
47.0 2 1
46.0 1 3
45.5 2 1
45.0 1 1
44.0 1 1
43.5 1
43.0 2
42.0 3 3 2
41.5 2
41.0 1
40.5 1
40.0 1
39.0 2 1
38.0 1
37.5 1
36.5 1
36.0 4
35.5 3
35.0 2
34.0 1
33.0 1
32.5 2
31.5 1
30.0 1
29.5 2
29.0 2 1
27.5 1
26.5 1
25.5 1
24.0 1
21.0 1
20.5 1
18.0 1
15.0 1
12.0 1
American Mathematics Competitions
2005 AMC 10 A Results for South 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 0.42 0.22 0.45 8.22* 0.48 0.22 0.00
2 0.18 0.18 5.68* 0.08 1.76 2.12 0.00
3 0.04 9.06* 0.17 0.35 0.12 0.26 0.00
4 0.55 1.26* 2.13 0.72 0.40 4.93 0.00
5 5.50* 0.51 3.67 0.13 0.02 0.17 0.00
6 0.28 4.06* 3.87 0.16 0.06 1.58 0.00
7 0.76 3.31* 0.46 0.45 0.76 4.27 0.00
8 1.11 0.37 3.48* 0.12 0.11 4.80 0.01
9 1.23 5.08* 1.55 0.19 0.12 1.83 0.00
10 1.08* 0.43 1.14 0.53 0.11 6.70 0.00
11 0.45 2.05* 0.42 0.85 0.08 6.15 0.00
12 0.31 0.72* 0.53 0.19 0.61 7.63 0.00
13 1.66 0.65 0.43 0.34 0.93* 5.99 0.00
14 0.77 0.63 0.60 0.48 1.82* 5.70 0.00
15 0.59 0.84 0.70 1.11 0.65* 6.11 0.00
16 0.82 0.54 0.72 1.77* 0.17 5.98 0.00
17 0.43 0.41 0.42 1.84* 0.57 6.33 0.00
18 1.64* 1.73 1.03 2.96 0.29 2.35 0.00
19 0.55 0.61 0.77 2.43* 0.72 4.91 0.00
20 0.35* 0.40 0.65 0.48 0.29 7.83 0.00
21 1.48 0.70* 0.30 0.29 0.71 6.52 0.00
22 0.70 0.47 0.28 1.95* 0.61 5.99 0.00
23 0.26 0.52 1.23* 0.79 0.72 6.47 0.00
24 0.97 0.71* 0.30 0.31 0.12 7.58 0.00
25 0.28 0.70 0.93 0.83* 0.08 7.18 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 South 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 5 1
149.0 124.0 1 99.0
148.5 123.5 98.5 3 2
148.0 123.0 98.0
147.5 122.5 97.5 2
147.0 122.0 1 97.0 5
146.5 121.5 96.5
146.0 121.0 96.0 3 2
145.5 120.5 1 95.5
145.0 120.0 95.0 7 4
144.5 119.5 1 94.5 1
144.0 119.0 94.0 2 2
143.5 118.5 1 93.5 4 3
143.0 118.0 93.0
142.5 117.5 92.5 6 1
142.0 117.0 1 92.0 1
141.5 116.5 91.5 5 4
141.0 116.0 2 91.0 2 1
140.5 115.5 90.5 1 3
140.0 115.0 3 90.0 5 8
139.5 114.5 89.5
139.0 114.0 89.0 14 7
138.5 113.5 88.5 1 1
138.0 113.0 88.0 6 8
137.5 112.5 2 87.5 6 1
137.0 112.0 87.0 1 4
136.5 111.5 1 86.5 4 1
136.0 111.0 86.0 1
135.5 110.5 85.5 7 6
135.0 110.0 1 85.0 1 1
134.5 109.5 84.5 9 4
134.0 109.0 2 84.0 9 2
133.5 1 108.5 1 83.5 3 3
133.0 108.0 2 83.0 7 12
132.5 1 107.5 2 82.5 2
132.0 107.0 82.0 13 10
131.5 106.5 4 1 81.5 4 1
131.0 106.0 1 81.0 6 5
130.5 105.5 2 2 80.5 10 7
130.0 1 105.0 80.0 4 3
129.5 104.5 2 79.5 7 8
129.0 1 104.0 1 79.0 4
128.5 103.5 78.5 3 8
128.0 103.0 78.0 4 1
127.5 1 102.5 77.5 8 5
127.0 102.0 6 77.0 9 4
126.5 101.5 76.5 4 2
126.0 101.0 4 1 76.0 10 10
125.5 100.5 75.5 2 2
American Mathematics Competitions
2005 AMC 12 A Results for South Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 7 50.0 1 1 25.0
74.5 7 6 49.5 2 2 24.5
74.0 3 9 49.0 1 3 24.0 1 2
73.5 9 7 48.5 1 1 23.5
73.0 4 1 48.0 2 1 23.0
72.5 4 11 47.5 1 1 22.5
72.0 4 3 47.0 1 22.0
71.5 10 9 46.5 21.5
71.0 9 7 46.0 1 1 21.0
70.5 2 45.5 1 2 20.5
70.0 12 15 45.0 1 20.0
69.5 4 5 44.5 2 19.5
69.0 8 6 44.0 1 19.0
68.5 4 8 43.5 2 18.5
68.0 2 3 43.0 1 18.0
67.5 9 7 42.5 2 1 17.5
67.0 2 2 42.0 3 1 17.0
66.5 5 8 41.5 16.5
66.0 4 4 41.0 16.0
65.5 4 6 40.5 2 15.5
65.0 8 4 40.0 15.0
64.5 4 2 39.5 14.5
64.0 2 7 39.0 1 14.0
63.5 2 4 38.5 13.5
63.0 4 6 38.0 13.0
62.5 6 7 37.5 1 12.5
62.0 1 2 37.0 2 12.0
61.5 7 3 36.5 11.5
61.0 2 36.0 1 11.0
60.5 3 12 35.5 10.5
60.0 4 11 35.0 10.0
59.5 3 1 34.5 9.5
59.0 1 5 34.0 9.0
58.5 1 33.5 8.5
58.0 2 3 33.0 2 8.0
57.5 4 1 32.5 7.5
57.0 1 3 32.0 7.0
56.5 5 5 31.5 6.5
56.0 1 3 31.0 6.0
55.5 2 4 30.5 5.5
55.0 2 4 30.0 2 2 5.0
54.5 2 29.5 4.5
54.0 3 2 29.0 4.0
53.5 1 1 28.5 3.5
53.0 1 1 28.0 1 3.0
52.5 2 27.5 2.5
52.0 4 27.0 2.0
51.5 2 1 26.5 1.5
51.0 2 26.0 1 1.0
50.5 3 5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for South Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
133.5 1
132.5 1
130.0 1
129.0 1
127.5 1
124.0 1
122.0 1
120.5 1
119.5 1
118.5 1
117.0 1
116.0 1 1
115.0 1 2
112.5 2
111.5 1
110.0 1
109.0 2
108.5 1
108.0 1 1
107.5 1 1
106.5 2 3
106.0 1
105.5 3 1
104.5 1 1
104.0 1
103.0 1
102.0 1 1 4
101.0 1 5
99.5 1 5
98.5 3 2
97.5 2 1
97.0 1 4
96.0 3 2
95.0 1 2 8 1
94.5 1
94.0 1 3
93.5 4 3
92.5 1 3 3
92.0 1
91.5 5 4 1
91.0 2 1
90.5 1 1 2
90.0 6 7
89.0 5 17
88.5 2
88.0 1 1 5 7 1
87.5 4 3
87.0 1 1 1 3
86.5 3 2
86.0 1
85.5 7 6
85.0 1 2
84.5 1 8 4 1
84.0 1 7 5
83.5 1 2 3
83.0 1 12 7
82.5 1 1
82.0 3 13 9
81.5 4 1
81.0 1 7 3 1
80.5 9 9
80.0 1 1 6
79.5 2 1 6 8
79.0 1 3
78.5 7 4 2
78.0 3 2
77.5 7 7 3
77.0 11 3 1
76.5 2 4 2
76.0 4 2 8 6 1
75.5 2 1 3 1
75.0 4 7 2
74.5 8 5
74.0 1 1 6 5 3
73.5 1 1 8 6
73.0 5
72.5 2 9 5 2
72.0 1 3 4 1
71.5 2 2 12 3
71.0 2 1 10 3 1
70.5 2 2
70.0 2 1 16 8
69.5 1 4 4
69.0 7 7 1
68.5 9 3 1
68.0 5 2
67.5 1 10 5
67.0 2 2
66.5 9 4 1
66.0 1 4 3 1
65.5 1 8 2 2
65.0 1 4 7
64.5 4 2
64.0 6 4 1
63.5 1 3 2 1
63.0 7 3
62.5 1 8 6 3
62.0 2 1 1
61.5 1 1 6 4
61.0 3
60.5 9 6 1
60.0 1 10 5
59.5 1 3 3
59.0 5 1 1
58.5 1 1
58.0 3 2 2
57.5 1 3 1
57.0 3 1
56.5 1 7 2
56.0 3 1
55.5 3 3 1
55.0 4 2
54.5 1 1
54.0 4 2
53.5 1 1
53.0 1 1
52.5 1 1
52.0 1 3
51.5 1 2
51.0 2
50.5 1 6 2
50.0 2
49.5 2 2
49.0 1 4
48.5 1 1
48.0 2 1
47.5 2
47.0 1 1
46.0 1 1
45.5 2 1
45.0 1
44.5 2 1
44.0 1
43.5 1 1
43.0 1
42.5 3
42.0 1 3
40.5 1 1
39.0 1
37.5 1
37.0 2
36.0 1
34.5 1
33.0 1 1
30.0 3 1
28.0 1
27.0 1
26.0 1
24.0 1 1 1
American Mathematics Competitions
2005 AMC 12 A Results for South 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 0.07 0.11 9.39* 0.10 0.29 0.00
2 0.04 9.48* 0.14 0.25 0.01 0.07 0.00
3 0.40 3.02* 1.34 0.56 0.52 4.16 0.00
4 6.54* 0.39 2.83 0.04 0.04 0.16 0.00
5 0.23 6.21* 2.60 0.10 0.05 0.81 0.00
6 0.75 4.22* 0.31 0.25 0.73 3.74 0.00
7 0.83 0.19 5.82* 0.16 0.10 2.91 0.00
8 0.25 0.50 0.31 1.40* 0.21 7.34 0.00
9 2.40* 0.40 1.04 0.33 0.14 5.68 0.00
10 0.36 2.54* 0.23 0.82 0.18 5.88 0.00
11 1.05 0.50 0.32 0.55 2.77* 4.81 0.00
12 1.04 0.39 0.25 2.44* 1.40 4.48 0.00
13 0.24 0.26 0.56 2.53* 0.36 6.06 0.00
14 0.31 0.43 3.15 0.73* 0.55 4.82 0.00
15 0.23 0.33 1.24* 0.82 0.81 6.57 0.00
16 0.36 0.16 0.76 0.46* 0.31 7.96 0.00
17 1.45* 1.14 1.06 0.31 0.57 5.48 0.00
18 0.31* 0.27 0.36 0.26 0.28 8.52 0.00
19 0.85 1.98* 0.90 0.54 0.90 4.83 0.00
20 0.28 0.16 0.21 0.08 0.21* 9.07 0.00
21 0.42 0.48 0.37* 0.20 0.03 8.50 0.00
22 0.40 0.51* 0.41 0.26 0.19 8.23 0.00
23 0.69 0.34* 0.19 0.27 0.54 7.97 0.00
24 0.10 0.07* 0.17 0.27 0.04 9.35 0.00
25 0.31 0.30 0.19* 0.18 0.07 8.95 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 South 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 2
149.0 124.0 99.0 2
148.5 123.5 98.5 1 1
148.0 123.0 98.0 3
147.5 122.5 97.5
147.0 122.0 97.0 3
146.5 121.5 96.5
146.0 121.0 96.0 1 3
145.5 120.5 95.5 1
145.0 120.0 95.0
144.5 119.5 94.5 2 1
144.0 119.0 94.0
143.5 118.5 93.5 1
143.0 118.0 93.0
142.5 117.5 92.5 6 3
142.0 117.0 92.0 2
141.5 116.5 91.5
141.0 116.0 91.0 2 1
140.5 115.5 90.5 1 1
140.0 115.0 90.0 2 2
139.5 114.5 89.5 1
139.0 114.0 89.0 3 3
138.5 113.5 88.5
138.0 113.0 88.0 1
137.5 112.5 87.5 5 1
137.0 112.0 87.0
136.5 111.5 1 86.5 4 2
136.0 111.0 86.0 1
135.5 110.5 85.5 1 3
135.0 110.0 1 85.0 1
134.5 109.5 84.5 1
134.0 109.0 84.0 4
133.5 108.5 83.5
133.0 108.0 1 1 83.0 2 2
132.5 107.5 82.5 1
132.0 107.0 1 82.0 1
131.5 106.5 1 1 81.5 1
131.0 106.0 81.0 1
130.5 105.5 2 80.5 2 3
130.0 105.0 80.0 1 1
129.5 104.5 79.5 2 1
129.0 104.0 1 79.0 3
128.5 103.5 78.5 1 3
128.0 103.0 2 1 78.0 2
127.5 102.5 1 77.5 1
127.0 102.0 1 77.0 2
126.5 101.5 76.5
126.0 101.0 76.0 1 2
125.5 100.5 75.5 2
American Mathematics Competitions
2005 AMC 10 B Results for South Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 1 1 25.0
74.5 2 3 49.5 24.5
74.0 2 1 49.0 1 24.0
73.5 3 48.5 23.5
73.0 3 2 48.0 1 23.0 1
72.5 1 1 47.5 1 22.5
72.0 2 3 47.0 1 22.0
71.5 46.5 21.5
71.0 1 46.0 1 21.0
70.5 3 45.5 2 20.5
70.0 45.0 20.0
69.5 44.5 19.5
69.0 2 44.0 19.0
68.5 2 43.5 18.5
68.0 1 1 43.0 18.0
67.5 2 42.5 17.5
67.0 3 42.0 17.0
66.5 1 41.5 16.5
66.0 1 41.0 16.0
65.5 1 40.5 15.5
65.0 2 1 40.0 15.0
64.5 2 39.5 14.5
64.0 1 39.0 14.0
63.5 1 2 38.5 1 13.5
63.0 1 1 38.0 13.0
62.5 1 37.5 12.5
62.0 37.0 12.0
61.5 2 36.5 1 11.5
61.0 1 2 36.0 11.0
60.5 1 35.5 10.5
60.0 35.0 10.0
59.5 34.5 1 9.5
59.0 1 34.0 9.0
58.5 1 33.5 8.5
58.0 33.0 8.0
57.5 2 32.5 7.5
57.0 1 32.0 7.0
56.5 31.5 6.5
56.0 1 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 1 5.0
54.5 1 1 29.5 4.5
54.0 2 1 29.0 4.0
53.5 28.5 3.5
53.0 28.0 3.0
52.5 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for South Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
111.5 1
110.0 1
108.0 1 1
107.0 1
106.5 2
105.5 1 1
104.0 1
103.0 1 3
102.5 1
102.0 1
99.5 2
99.0 1 1
98.5 2
98.0 2 2
97.0 2 1
96.0 1 3
95.5 1
94.5 1 2
93.5 1
92.5 5 4
92.0 1 1
91.0 1 1 1
90.5 2
90.0 2 2
89.5 1
89.0 5 1
88.0 1
87.5 1 5
86.5 1 4 1
86.0 1
85.5 1 3 2
85.0 1
84.5 1
84.0 2 2
83.0 4
82.5 1
82.0 1 1
81.5 1
81.0 1
80.5 1 4
80.0 1 1
79.5 1 2
79.0 1 2
78.5 2 1 1
78.0 1 1
77.5 1
77.0 2
76.0 2 1
75.5 1 1
75.0 1
74.5 2 3
74.0 1 2
73.5 2 1
73.0 2 2 1
72.5 2
72.0 2 3
71.0 1
70.5 1 2
69.0 1 1
68.5 2
68.0 1 1
67.5 2
67.0 1 2
66.5 1
66.0 1
65.5 1
65.0 1 1 1
64.5 1 1
64.0 1
63.5 3
63.0 1 1
62.5 1
61.5 2
61.0 1 3
60.5 1
59.0 1
58.5 2
57.5 1 1
57.0 1
56.5 1
56.0 1
55.0 1
54.5 2
54.0 1 2 1
50.0 2
49.0 1
48.0 1
47.5 1
47.0 1
46.0 1
45.5 2
38.5 1
36.5 1
34.5 1
30.0 1
23.0 1
American Mathematics Competitions
2005 AMC 10 B Results for South 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 8.80* 0.32 0.14 0.23 0.46 0.05 0.00
2 0.18 0.14 0.09 8.85* 0.23 0.51 0.00
3 0.00 0.78 2.07 5.39* 1.11 0.65 0.00
4 0.65 0.18 0.46 5.16* 0.23 3.32 0.00
5 0.14 0.05 8.85* 0.18 0.28 0.51 0.00
6 0.32 8.57* 0.14 0.23 0.28 0.46 0.00
7 0.88 1.11* 0.37 1.20 0.78 5.67 0.00
8 6.08* 0.05 1.01 0.05 0.00 2.81 0.00
9 0.41 0.46 2.03 5.16* 0.60 1.34 0.00
10 1.01* 1.06 0.55 0.37 0.46 6.54 0.00
11 0.18 0.65 0.23 2.12 2.26* 4.56 0.00
12 0.65 1.20 0.69 0.37 0.18* 6.91 0.00
13 0.32 0.60 1.94* 1.98 0.41 4.75 0.00
14 0.37 0.18 2.03* 1.89 0.69 4.84 0.00
15 1.43 0.55 0.78 3.87* 0.55 2.81 0.00
16 0.41 0.78 0.60 0.60* 0.14 7.47 0.00
17 0.32 2.17* 1.66 0.37 0.05 5.44 0.00
18 0.28 4.70 0.88 1.84* 0.74 1.57 0.00
19 0.37 6.27* 0.41 0.37 0.37 2.21 0.00
20 0.60 0.28 0.88* 0.28 0.18 7.79 0.00
21 0.14* 0.23 0.28 0.60 0.28 8.48 0.00
22 0.55 0.78 0.41* 0.23 0.23 7.79 0.00
23 2.30 0.51 0.32* 0.23 0.23 6.41 0.00
24 0.28 0.14 0.18 0.32 1.06* 8.02 0.00
25 0.51 0.32 3.04* 0.23 0.05 5.85 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 South 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 4 1
149.0 124.0 1 99.0
148.5 123.5 98.5 4 2
148.0 123.0 98.0 1 1
147.5 122.5 97.5 1 1
147.0 122.0 1 97.0 3 3
146.5 121.5 96.5
146.0 121.0 96.0 9 2
145.5 120.5 95.5
145.0 120.0 95.0 5 7
144.5 119.5 1 94.5 2 1
144.0 119.0 94.0 1
143.5 118.5 93.5 2
143.0 118.0 93.0
142.5 117.5 92.5 7 5
142.0 117.0 1 92.0 1
141.5 116.5 91.5 3 1
141.0 116.0 91.0 1
140.5 115.5 90.5 2
140.0 115.0 90.0 4 1
139.5 114.5 89.5
139.0 114.0 89.0 6 5
138.5 113.5 1 88.5 1 1
138.0 113.0 88.0 3 1
137.5 112.5 1 87.5 3
137.0 112.0 87.0
136.5 111.5 1 86.5 5 2
136.0 111.0 86.0 1
135.5 110.5 85.5 3 8
135.0 110.0 85.0 2
134.5 109.5 84.5 2 2
134.0 109.0 1 84.0 3
133.5 108.5 1 83.5 1 1
133.0 108.0 3 1 83.0 7 6
132.5 107.5 82.5 1
132.0 107.0 82.0 1 6
131.5 106.5 1 81.5 1 2
131.0 106.0 1 81.0 5 3
130.5 105.5 1 80.5 5 8
130.0 105.0 80.0 1
129.5 104.5 79.5 2 1
129.0 104.0 2 79.0
128.5 103.5 78.5 4 2
128.0 103.0 2 1 78.0 1 1
127.5 102.5 77.5 1 2
127.0 102.0 1 1 77.0 2 4
126.5 101.5 76.5 3
126.0 101.0 2 1 76.0 3 3
125.5 100.5 1 1 75.5 1 2
American Mathematics Competitions
2005 AMC 12 B Results for South Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 1 25.0
74.5 2 2 49.5 24.5
74.0 1 1 49.0 1 24.0 1
73.5 3 2 48.5 1 23.5
73.0 1 48.0 1 23.0
72.5 2 47.5 22.5
72.0 3 1 47.0 22.0
71.5 2 1 46.5 21.5
71.0 1 5 46.0 21.0
70.5 4 2 45.5 20.5
70.0 3 45.0 20.0
69.5 2 2 44.5 1 19.5
69.0 1 44.0 1 19.0
68.5 2 2 43.5 18.5
68.0 1 2 43.0 18.0
67.5 1 2 42.5 17.5
67.0 2 2 42.0 1 1 17.0
66.5 1 41.5 16.5
66.0 1 6 41.0 16.0
65.5 1 40.5 15.5
65.0 40.0 15.0
64.5 3 39.5 14.5
64.0 1 39.0 14.0
63.5 1 1 38.5 13.5
63.0 1 38.0 1 13.0
62.5 3 2 37.5 12.5
62.0 1 37.0 12.0
61.5 36.5 11.5
61.0 1 36.0 11.0
60.5 35.5 10.5
60.0 1 35.0 10.0
59.5 34.5 9.5
59.0 2 34.0 9.0
58.5 33.5 8.5
58.0 1 33.0 8.0
57.5 32.5 7.5
57.0 32.0 7.0
56.5 31.5 6.5
56.0 31.0 6.0
55.5 1 30.5 5.5
55.0 30.0 1 5.0
54.5 29.5 4.5
54.0 1 29.0 4.0
53.5 28.5 3.5
53.0 28.0 3.0
52.5 27.5 2.5
52.0 1 1 27.0 2.0
51.5 2 26.5 1.5
51.0 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for South Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
124.0 1
122.0 1
119.5 1
117.0 1
113.5 1
112.5 1
111.5 1
109.0 1
108.5 1
108.0 1 3
106.5 1
106.0 1
105.5 1
104.0 1 1
103.0 2 1
102.0 1 1
101.0 1 2
100.5 2
99.5 2 3
98.5 4 3
98.0 2
97.5 1 1
97.0 1 1 4
96.0 5 6
95.0 3 10 1
94.5 1 2
94.0 1
93.5 2
92.5 5 7
92.0 1
91.5 4 1
91.0 2
90.5 1 1
90.0 3 4
89.0 1 5 10
88.5 1 1
88.0 3 3
87.5 1 3
87.0 1
86.5 5 4
86.0 1
85.5 6 7
85.0 2
84.5 1 3
84.0 3 4
83.5 2
83.0 10 8
82.5 1
82.0 1 7
81.5 3 1
81.0 5 4
80.5 8 5
80.0 1
79.5 1 1 3
78.5 1 4 2 1
78.0 2 1
77.5 2 1
77.0 7 2
76.5 1 2
76.0 1 3 2
75.5 1 2
75.0 1 2
74.5 4 2
74.0 1 1
73.5 1 3 1
73.0 2
72.5 1 1
72.0 1 2 1
71.5 2 2
71.0 1 4 2
70.5 3 3
70.0 1 3
69.5 2 2
69.0 1
68.5 3 1
68.0 1 2
67.5 1 2
67.0 1 3
66.5 1
66.0 5 2
65.5 1
65.0 1
64.5 3 1
64.0 1
63.5 1 1
63.0 1 1
62.5 2 3
62.0 1
61.0 1
60.5 1
60.0 1
59.0 1 1
58.5 1
58.0 2
55.5 1
54.5 1
54.0 1
53.0 1
52.0 1 1
51.5 2
51.0 1
50.5 1 1
50.0 1
49.0 1
48.5 1
48.0 1
44.5 1
44.0 1
42.0 1 1
38.5 1
38.0 1
30.0 1
24.0 1
American Mathematics Competitions
2005 AMC 12 B Results for South 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 9.13* 0.18 0.28 0.03 0.28 0.10 0.00
2 0.05 0.10 0.08 9.34* 0.10 0.33 0.00
3 0.10 0.08 9.10* 0.10 0.36 0.26 0.00
4 0.15 9.03* 0.10 0.18 0.18 0.36 0.00
5 7.67* 0.03 0.82 0.08 0.03 1.38 0.00
6 2.07* 0.87 0.56 0.38 0.18 5.93 0.00
7 0.95 1.38 0.41 1.94* 0.49 4.83 0.00
8 1.36 1.43 3.66* 0.00 1.23 2.33 0.00
9 0.26 7.85* 0.33 0.23 0.36 0.97 0.00
10 0.18 0.69 0.08 2.28 3.15* 3.63 0.00
11 0.95 0.97 0.72 3.99* 0.66 2.71 0.00
12 0.20 0.56 0.92 0.56* 0.05 7.70 0.00
13 0.23 0.28 0.49 1.36* 0.15 7.49 0.00
14 0.72 1.13 0.82 0.28 0.64* 6.42 0.00
15 0.43 0.51 0.18 4.83* 0.38 3.66 0.00
16 0.26 0.20 0.74 0.23* 0.23 8.34 0.00
17 0.13 0.36* 0.31 0.13 0.82 8.26 0.00
18 1.20 0.49 0.61* 0.33 0.20 7.16 0.00
19 0.23 0.28 0.23 0.26 2.20* 6.80 0.00
20 0.15 0.08 4.35* 0.59 2.07 2.76 0.00
21 0.26 0.28 0.54* 0.43 0.18 8.31 0.00
22 0.26 0.82 0.10 0.08 0.08* 8.67 0.00
23 0.10 0.10* 0.28 0.05 0.05 9.41 0.00
24 0.26* 0.13 0.31 0.28 0.36 8.67 0.00
25 0.31* 0.33 0.08 0.15 0.38 8.75 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
