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Missing Title
American Mathematics Competitions
2006 AMC 10 A Results for South Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 683
Number of unofficial participants: 0
Average score of participants: 71.7
Average score for female students is: 68.4 ( 319 Students)
Average score for male students is: 74.9 ( 296 Students)
Average score for unspecified gender is 72.5 ( 68 Students)
Average score for grade 10 is: 73.3 ( 391 Students)
Average score for grade 9 is: 68.8 ( 239 Students)
Average score for grade 8 and below is: 73.8 ( 3 Students)
Average score with unknown grade: 72.6 ( 50 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 10
Number of schools returning results 24
Average school winning score 105.50
American Mathematics Competitions
2006 AMC 12 A Results for South Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 830
Number of unofficial participants: 0
Average score of participants: 80.5
Average score for female students is: 77.0 ( 373 Students)
Average score for male students is: 83.9 ( 424 Students)
Average score for unspecified gender is 77.8 ( 33 Students)
Average score for grade 12 is: 82.3 ( 362 Students)
Average score for grade 11 is: 78.8 ( 380 Students)
Average score for grade 10 is: 83.0 ( 43 Students)
Average score for grade 9 is: 78.7 ( 38 Students)
Average score with unknown grade: 74.9 ( 7 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 105
Number of schools returning results 24
Average school winning score 108.88
Average school team score 310.90
American Mathematics Competitions
2006 AMC 10 B Results for South Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 297
Number of unofficial participants: 0
Average score of participants: 64.6
Average score for female students is: 60.2 ( 143 Students)
Average score for male students is: 69.3 ( 139 Students)
Average score for unspecified gender is 62.8 ( 15 Students)
Average score for grade 10 is: 67.4 ( 162 Students)
Average score for grade 9 is: 62.3 ( 119 Students)
Average score for grade 8 and below is: 59.4 ( 5 Students)
Average score with unknown grade: 51.0 ( 11 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 3
Number of schools returning results 10
Average school winning score 104.45
American Mathematics Competitions
2006 AMC 12 B Results for South Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 271
Number of unofficial participants: 0
Average score of participants: 81.3
Average score for female students is: 76.4 ( 126 Students)
Average score for male students is: 86.3 ( 133 Students)
Average score for unspecified gender is 76.9 ( 12 Students)
Average score for grade 12 is: 82.8 ( 143 Students)
Average score for grade 11 is: 78.6 ( 121 Students)
Average score for grade 10 is: 96.5 ( 6 Students)
Average score for grade 9 is: 89.0 ( 1 Student)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 35
Number of schools returning results 13
Average school winning score 111.27
Average school team score 310.58
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
375.0 1 1 1
364.5 1 3
347.0 1 1 4
344.5 1 6
342.0 1 7
340.0 1 8
339.0 1 9
337.5 1 10
337.0 1 11
336.5 1 1 12
335.0 1 14
334.0 1 15
329.5 1 16
322.0 1 17
319.0 1 18
315.5 1 19
311.0 1 20
310.5 1 21
310.0 1 22
308.0 2 23
305.5 1 25
298.0 1 26
297.5 1 27
290.5 2 28
287.5 1 30
274.5 1 31
274.0 1 32
273.0 1 33
245.0 1 34
226.0 1 35
222.0 1 36
191.0 1 37
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
143.0 1
133.5 1
132.0 2
130.0 1 2
129.0 2
126.5 1 1
126.0 1
125.5 1
125.0 1 1
124.0 1
123.0 1 1
122.0 2 2
121.5 1
120.5 2
119.5 1
118.5 5 1
117.0 1 1 1
116.0 1 1 1
115.0 4 1
114.5 2
113.5 1
112.5 10 1 1
111.5 3 1
111.0 1 1
110.0 5 1
109.0 6 2
108.5 3
108.0 3 3 1
107.5 2 2
106.5 6
105.5 5 2 1
105.0 1 1
104.5 3 2
104.0 5 1
103.5 2
103.0 9 3 2 5
102.5 1
102.0 14 3 1
101.5 1 3 2
101.0 3 7 1
100.5 12 1 2 1
100.0 2
99.5 17 4 3 1
99.0 1 1 1
98.5 5 1 1
98.0 2 4
97.5 4
97.0 15 2 8 1
96.5 1 1
96.0 15 4 4 2
95.5 2 1 1
95.0 9 8 2 1
94.5 13 3 2 1
94.0 1 2
93.5 11 4 4 2
93.0 4 2 1
92.5 12 9 2
92.0 6 1 8 1
91.5 3 2 3 2
91.0 13 7 2
90.5 1 1 1
90.0 13 3 9 1
89.5 1 2 5
89.0 12 7 5 1
88.5 7 2 1 1
88.0 6 3 1
87.5 15 2 4 1
87.0 1 1 2
86.5 15 5 10 1
86.0 7 1 5
85.5 8 2 7
85.0 14 4 12 2
84.5 1 8 4 1
84.0 19 2 13 1
83.5 3 1 3 1
83.0 17 9 4 3
82.5 13 8
82.0 11 2 7 3
81.5 12 1 10 1
81.0 1 2 8
80.5 9 7 9 3
80.0 8 1 7
79.5 7 4 7 2
79.0 9 1 7 2
78.5 8 5 7 1
78.0 23 3 11 3
77.5 5 3 6 2
77.0 10 5 9 1
76.5 5 1 10
76.0 9 9 6 5
75.5 16 6 9 3
75.0 4 2 3 1
74.5 16 3 15 6
74.0 8 2 6
73.5 2 4 8 1
73.0 10 2 5 1
72.5 4 1 10 2
72.0 13 6 12 3
71.5 9 4 10 2
71.0 15 5 7 3
70.5 6 9 2
70.0 6 1 3 6
69.5 10 3 4
69.0 11 1 4 3
68.5 12 12 5
68.0 9 1 8 2
67.5 9 1 8 3
67.0 8 10 1
66.5 6 3 4 1
66.0 9 1 9 1
65.5 6 2 4 1
65.0 9 3 7 5
64.5 1 1 6 2
64.0 5 3 7 3
63.5 4 7 2
63.0 2 3 5
62.5 6 2 7 3
62.0 2 2 3 3
61.5 3 3 6 5
61.0 1 1 4 3
60.5 3 2 3 3
60.0 14 3 11 1
59.5 2 3 1
59.0 5 2 5 6
58.5 2 3 14 1
58.0 4 1 4 3
57.5 7 2 3 4
57.0 1 1 2 3
56.5 7 2 5 1
56.0 1 3 5
55.5 4 2 2 8
55.0 4 2 4
54.5 2 5 4
54.0 9 2 8 5
53.5 1 8 4
53.0 2 5 6
52.5 3 2 3
52.0 1 1 4 4
51.5 3 6 2
51.0 1 1 4 3
50.5 1 3 1
50.0 1 3 3
49.5 4 7
49.0 2 1 5 1
48.5 1 1 4 1
48.0 5 9 5
47.5 2 2
47.0 1 4
46.5 1 1 2 3
46.0 1 6 1
45.5 1 4
45.0 1 2 3
44.5 3 4
44.0 2 2
43.5 1 2
43.0 1 2
42.5 2 1
42.0 2 1 6 3
41.5 1 2
41.0 1 2 2
40.5 1
40.0 1 2 4
39.0 2
38.5 1 2 1
38.0 1 4 1
37.5 1
37.0 3
36.5 1
36.0 3 7 2
35.5 1 1
35.0 1
34.5 1 1
34.0 1
33.5 1
33.0 1 1 1
31.0 1
30.5 1
30.0 2 1 4 2
29.5 2
28.0 1 1
24.0 1 2
23.5 1
23.0 1
19.5 1
18.0 1
American Mathematics Competitions
2006 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 1 100.0 1
149.5 124.5 99.5 2 1
149.0 124.0 1 99.0 1
148.5 123.5 98.5
148.0 123.0 1 98.0 3 1
147.5 122.5 97.5
147.0 122.0 97.0 6 2
146.5 121.5 96.5 1
146.0 121.0 96.0 2 2
145.5 120.5 1 95.5 1
145.0 120.0 95.0 2
144.5 119.5 94.5 1
144.0 119.0 94.0 1 1
143.5 118.5 93.5 3 1
143.0 118.0 93.0
142.5 117.5 92.5
142.0 117.0 92.0 3 3
141.5 116.5 91.5 2 1
141.0 116.0 91.0 3 3
140.5 115.5 90.5 1
140.0 115.0 90.0 5 2
139.5 114.5 2 89.5 4 1
139.0 114.0 89.0 4 1
138.5 113.5 1 88.5 1
138.0 113.0 88.0 1
137.5 112.5 87.5 2 2
137.0 112.0 87.0 2
136.5 111.5 86.5 8 2
136.0 111.0 86.0 4 1
135.5 110.5 85.5 1 6
135.0 110.0 1 85.0 4 4
134.5 109.5 84.5 3 1
134.0 109.0 84.0 8 4
133.5 108.5 3 83.5 1 2
133.0 108.0 1 83.0 1 3
132.5 107.5 82.5 4 4
132.0 1 1 107.0 82.0 2 5
131.5 106.5 81.5 5 3
131.0 106.0 81.0 6 2
130.5 105.5 1 80.5 4 5
130.0 2 105.0 80.0 3 3
129.5 104.5 79.5 4 2
129.0 104.0 1 79.0 3 3
128.5 103.5 2 78.5 4 2
128.0 103.0 1 1 78.0 6 4
127.5 102.5 1 77.5 4 2
127.0 102.0 77.0 3 5
126.5 101.5 2 1 76.5 5 4
126.0 1 101.0 1 76.0 2 4
125.5 100.5 1 75.5 1 6
American Mathematics Competitions
2006 AMC 10 A Results for South Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 2 50.0 2 1 25.0
74.5 3 8 49.5 2 2 24.5
74.0 2 4 49.0 4 24.0
73.5 2 6 48.5 1 2 23.5
73.0 2 3 48.0 4 5 23.0
72.5 6 3 47.5 1 22.5
72.0 4 5 47.0 1 22.0
71.5 5 5 46.5 1 1 21.5
71.0 2 3 46.0 2 4 21.0
70.5 5 4 45.5 1 20.5
70.0 1 2 45.0 1 1 20.0
69.5 3 44.5 1 2 19.5
69.0 1 2 44.0 2 19.0
68.5 3 8 43.5 18.5
68.0 4 3 43.0 1 18.0
67.5 1 7 42.5 1 1 17.5
67.0 5 4 42.0 2 4 17.0
66.5 2 2 41.5 16.5
66.0 3 3 41.0 2 16.0
65.5 4 40.5 15.5
65.0 5 2 40.0 2 2 15.0
64.5 2 4 39.5 14.5
64.0 5 2 39.0 2 14.0
63.5 1 4 38.5 1 1 13.5
63.0 2 1 38.0 1 3 13.0
62.5 3 3 37.5 1 12.5
62.0 1 2 37.0 12.0
61.5 3 3 36.5 1 11.5
61.0 1 3 36.0 2 4 11.0
60.5 2 1 35.5 1 10.5
60.0 5 3 35.0 1 10.0
59.5 3 34.5 1 9.5
59.0 2 3 34.0 9.0
58.5 6 5 33.5 8.5
58.0 1 2 33.0 1 8.0
57.5 1 2 32.5 7.5
57.0 2 32.0 7.0
56.5 1 2 31.5 6.5
56.0 3 31.0 6.0
55.5 1 30.5 1 5.5
55.0 1 3 30.0 3 5.0
54.5 1 4 29.5 4.5
54.0 3 4 29.0 4.0
53.5 4 4 28.5 3.5
53.0 5 28.0 3.0
52.5 2 27.5 2.5
52.0 3 27.0 2.0
51.5 1 5 26.5 1.5
51.0 1 2 26.0 1.0
50.5 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for South Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
132.0 1 1
130.0 2
126.0 1
125.0 1
124.0 1
123.0 1
120.5 1 1
114.5 2
113.5 1
110.0 1
108.5 1 2
108.0 1
105.5 1
104.0 1
103.5 1 1
103.0 2
102.5 1
102.0 1
101.5 3
101.0 1
100.5 1 1
100.0 2
99.5 3
99.0 1
98.5 1
98.0 4
97.0 1 7
96.5 1
96.0 1 3
95.5 1
95.0 2
94.5 1 1
94.0 1 1
93.5 1 3
93.0 1 1
92.0 3 4 1
91.5 1 2
91.0 2 4 1
90.5 1
90.0 3 4 2
89.5 3 2
89.0 5
88.5 1
88.0 1
87.5 1 3
87.0 2
86.5 1 9
86.0 1 3 1
85.5 2 5
85.0 3 6 3
84.5 1 2 1
84.0 4 8 1
83.5 3
83.0 4
82.5 4 4
82.0 1 5 1
81.5 3 6 1
81.0 5 3
80.5 3 5 1
80.0 1 6
79.5 2 5
79.0 2 4 1
78.5 2 5
78.0 3 7 1
77.5 2 4
77.0 2 6 1
76.5 5 4 1
76.0 2 4
75.5 4 4 1
75.0 2 1
74.5 8 5 2
74.0 6
73.5 8
73.0 1 4
72.5 5 4 1
72.0 5 5 2
71.5 4 6
71.0 2 4 1
70.5 1 7 1
70.0 1 2
69.5 3
69.0 3 1
68.5 2 9 1
68.0 3 4 1
67.5 3 5
67.0 3 6 1
66.5 4
66.0 1 6 2
65.5 4
65.0 1 6
64.5 2 4
64.0 6 1
63.5 4 1 2
63.0 1 2
62.5 5 2
62.0 1 2
61.5 4 2
61.0 2 1 1
60.5 3
60.0 6 3 2
59.5 3
59.0 4 1
58.5 8 3 3
58.0 1 3
57.5 3
57.0 2
56.5 3 2
56.0 1 2
55.5 2
55.0 3 1
54.5 1 4
54.0 4 3 1
53.5 4 4
53.0 4 1
52.5 2
52.0 1 3
51.5 4 2
51.0 2 2
50.5 1 1 1
50.0 3
49.5 3 1
49.0 1 3 1
48.5 2 1 1
48.0 3 6
47.5 2
47.0 1
46.5 2
46.0 1 5
45.5 1
45.0 1 1
44.5 1 2
44.0 2
43.0 1
42.5 2
42.0 3 3
41.0 2
40.0 2 2
39.0 2
38.5 1 1
38.0 3 1
37.5 1
36.5 1
36.0 2 4 1
35.5 1
35.0 1
34.5 1
33.0 1
30.5 1
30.0 2 1 1
American Mathematics Competitions
2006 AMC 10 A Results for South Carolina
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.96* 0.01 0.01 0.01 0.00 0.00 0.00
2 1.05 0.19 1.96* 0.20 2.61 3.98 0.00
3 0.10 8.14* 0.18 0.13 1.36 0.09 0.00
4 2.61 0.10 0.07 0.26 6.30* 0.66 0.00
5 0.22 1.49 1.14 6.57* 0.34 0.23 0.00
6 0.19 7.72* 0.59 0.15 0.09 1.27 0.00
7 6.54* 0.16 0.42 0.38 0.59 1.90 0.00
8 1.11 0.66 0.64 0.22 1.32* 6.05 0.00
9 2.01 1.77 4.67* 0.35 0.47 0.73 0.00
10 0.48 0.38 0.95 2.18 0.88* 5.12 0.00
11 1.41 1.57 1.54* 1.04 1.24 3.21 0.00
12 1.26 0.59 3.98* 1.13 0.34 2.71 0.00
13 0.37 1.46 0.37 4.44* 0.22 3.15 0.00
14 1.71 2.93* 0.38 1.11 1.29 2.58 0.00
15 0.79 0.73 0.51 1.32* 0.59 6.06 0.00
16 0.19 0.28 0.48 0.53* 0.70 7.82 0.00
17 1.46* 0.41 0.35 0.60 0.42 6.73 0.01
18 2.68 0.25 2.42* 0.67 0.19 3.79 0.00
19 0.82 1.58 0.72* 0.32 0.42 6.13 0.00
20 0.50 1.33 0.53 0.48 0.59* 6.57 0.00
21 1.10 0.66 0.63 0.67 0.92* 6.02 0.00
22 0.18 0.60 2.47* 4.03 1.27 1.45 0.00
23 0.78 0.97* 0.26 0.31 0.78 6.91 0.00
24 1.19 0.44* 0.42 0.20 0.32 7.42 0.00
25 1.99 0.85 0.56* 0.67 0.29 5.64 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2006 AMC 12 A Results for 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 11 6
149.0 124.0 99.0
148.5 123.5 98.5 3 2
148.0 123.0 1 98.0 1
147.5 122.5 97.5
147.0 122.0 2 97.0 9 6
146.5 121.5 96.5 1
146.0 121.0 96.0 9 6
145.5 120.5 95.5 1 1
145.0 120.0 95.0 6 3
144.5 119.5 1 94.5 8 5
144.0 119.0 94.0
143.5 118.5 4 1 93.5 7 3
143.0 118.0 93.0 3 1
142.5 117.5 92.5 9 2
142.0 117.0 1 92.0 4 2
141.5 116.5 91.5 1 2
141.0 116.0 1 91.0 10 2
140.5 115.5 90.5 1
140.0 115.0 2 1 90.0 8 5
139.5 114.5 89.5 1
139.0 114.0 89.0 7 4
138.5 113.5 88.5 3 3
138.0 113.0 88.0 3 3
137.5 112.5 5 4 87.5 6 9
137.0 112.0 87.0 1
136.5 111.5 1 1 86.5 9 6
136.0 111.0 86.0 6 1
135.5 110.5 85.5 4 4
135.0 110.0 3 2 85.0 10 4
134.5 109.5 84.5 1
134.0 109.0 3 3 84.0 7 12
133.5 1 108.5 83.5 1 1
133.0 108.0 1 2 83.0 10 7
132.5 107.5 2 82.5 6 4
132.0 107.0 82.0 5 6
131.5 106.5 5 1 81.5 8 4
131.0 106.0 81.0 1
130.5 105.5 3 2 80.5 6 3
130.0 105.0 1 80.0 3 4
129.5 104.5 2 1 79.5 2 5
129.0 104.0 1 4 79.0 3 6
128.5 103.5 78.5 3 5
128.0 103.0 6 3 78.0 15 7
127.5 102.5 77.5 3
127.0 102.0 11 3 77.0 3 6
126.5 1 101.5 1 76.5 3 2
126.0 101.0 3 76.0 5 4
125.5 100.5 8 3 75.5 7 9
American Mathematics Competitions
2006 AMC 12 A Results for South Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 2 50.0 1 25.0
74.5 6 9 49.5 24.5
74.0 6 2 49.0 1 1 24.0
73.5 2 48.5 1 23.5
73.0 4 5 48.0 5 23.0
72.5 1 3 47.5 1 1 22.5
72.0 3 9 47.0 22.0
71.5 5 4 46.5 1 21.5
71.0 5 9 46.0 1 21.0
70.5 3 3 45.5 20.5
70.0 2 4 45.0 1 20.0
69.5 7 3 44.5 19.5 1
69.0 5 5 44.0 19.0
68.5 4 8 43.5 18.5
68.0 4 4 43.0 18.0
67.5 2 7 42.5 17.5
67.0 4 4 42.0 1 1 17.0
66.5 3 3 41.5 16.5
66.0 3 5 41.0 1 16.0
65.5 2 3 40.5 15.5
65.0 3 6 40.0 15.0
64.5 1 39.5 14.5
64.0 2 3 39.0 14.0
63.5 1 3 38.5 1 13.5
63.0 2 38.0 1 13.0
62.5 2 4 37.5 12.5
62.0 2 37.0 12.0
61.5 1 2 36.5 11.5
61.0 1 36.0 2 1 11.0
60.5 1 2 35.5 10.5
60.0 6 7 35.0 10.0
59.5 1 34.5 9.5
59.0 2 2 34.0 9.0
58.5 2 33.5 8.5
58.0 3 1 33.0 1 8.0
57.5 2 5 32.5 7.5
57.0 1 32.0 7.0
56.5 4 3 31.5 6.5
56.0 1 31.0 6.0
55.5 2 2 30.5 5.5
55.0 2 2 30.0 1 1 5.0
54.5 2 29.5 4.5
54.0 3 5 29.0 4.0
53.5 1 28.5 3.5
53.0 1 1 28.0 3.0
52.5 2 1 27.5 2.5
52.0 1 27.0 2.0
51.5 1 2 26.5 1.5
51.0 1 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for South Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
133.5 1
126.5 1
123.0 1
122.0 1 1
119.5 1
118.5 1 4
117.0 1
116.0 1
115.0 2 2
112.5 1 3 6
111.5 1 1 1
110.0 2 3
109.0 1 5
108.0 1 2
107.5 1 1
106.5 1 1 4
105.5 2 3
105.0 1
104.5 2 1
104.0 2 3
103.0 6 3
102.0 7 7
101.5 1
101.0 1 1 1
100.5 2 7 3
99.5 1 7 9
98.5 2 3
98.0 1 1
97.0 2 9 4
96.5 1
96.0 2 1 6 6
95.5 2
95.0 5 4
94.5 1 3 9
93.5 4 7
93.0 1 1 2
92.5 1 5 5 1
92.0 2 4
91.5 1 1 1
91.0 1 7 5
90.5 1
90.0 1 6 6
89.5 1
89.0 1 4 7
88.5 1 6
88.0 2 4
87.5 2 1 6 5 1
87.0 1
86.5 1 1 7 6
86.0 3 4
85.5 1 7
85.0 2 7 5
84.5 1
84.0 1 2 8 8
83.5 1 2
83.0 2 3 4 8
82.5 8 4 1
82.0 2 7 2
81.5 1 7 4
81.0 1
80.5 1 5 3
80.0 1 4 3
79.5 1 4 2
79.0 4 5
78.5 7 1
78.0 2 1 7 13
77.5 5
77.0 9 1
76.5 2 3
76.0 1 1 4 3
75.5 2 6 8
75.0 2 2
74.5 1 7 8
74.0 4 4
73.5 2
73.0 1 5 4
72.5 2 2
72.0 5 7 1
71.5 5 4
71.0 1 3 5 6
70.5 1 1 4
70.0 3 3
69.5 1 6 3
69.0 1 4 5 1
68.5 2 1 5 4
68.0 1 4 3 1
67.5 5 4
67.0 4 4
66.5 1 1 3 1
66.0 1 5 3
65.5 1 4 1
65.0 1 6 2
64.5 1
64.0 1 1 3
63.5 1 1 2
63.0 1 1
62.5 1 2 3
62.0 2
61.5 1 2
61.0 1
60.5 2 1
60.0 1 1 8 4
59.5 2
59.0 1 3 1
58.5 1 1
58.0 2 2
57.5 5 2
57.0 1
56.5 3 4
56.0 1
55.5 2 2
55.0 1 3
54.5 1 1
54.0 6 3
53.5 1
53.0 2
52.5 1 1 1
52.0 1
51.5 3
51.0 1
50.5 1
50.0 1
49.0 1 1
48.5 1
48.0 3 2
47.5 2
46.5 1
46.0 1
45.0 1
42.0 1 1
41.0 1
40.0 1
38.5 1
38.0 1
36.0 3
33.0 1
30.0 1 1
24.0 1
19.5 1
American Mathematics Competitions
2006 AMC 12 A Results for South Carolina
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.92* 0.00 0.06 0.02 0.00 0.00 0.00
2 1.73 0.20 4.53* 0.12 1.02 2.39 0.00
3 0.04 8.72* 0.08 0.00 1.10 0.06 0.00
4 1.96 0.13 0.05 0.07 7.29* 0.48 0.01
5 0.19 1.05 1.07 7.16* 0.17 0.36 0.00
6 6.94* 0.11 0.46 0.28 0.30 1.92 0.00
7 0.59 4.45* 0.90 0.59 0.49 2.98 0.00
8 1.35 1.41 6.08* 0.22 0.17 0.77 0.00
9 8.14* 0.19 0.10 0.04 0.29 1.24 0.00
10 0.36 0.31 0.63 3.10 1.49* 4.11 0.00
11 1.75 0.90 1.80* 1.42 0.58 3.55 0.00
12 1.45 4.52* 0.20 0.82 0.61 2.40 0.00
13 0.72 0.19 0.23 0.16 4.82* 3.87 0.01
14 0.12 0.54 4.04* 3.24 0.52 1.54 0.00
15 2.95* 1.53 0.28 0.48 1.30 3.46 0.00
16 0.41 2.57* 0.25 0.29 0.51 5.98 0.00
17 0.37 0.42* 0.42 0.33 0.07 8.39 0.00
18 1.02 0.17 0.41 0.64 0.57* 7.19 0.00
19 0.16 0.23 0.29 0.22 0.20* 8.90 0.00
20 1.53 0.60 0.43* 0.41 0.10 6.93 0.00
21 0.12 0.18 0.47 0.13 0.22* 8.87 0.01
22 0.27 0.17 0.20 0.17* 0.11 9.08 0.00
23 0.11 0.22* 0.25 0.16 0.12 9.14 0.00
24 1.12 0.18 0.22 0.23* 0.13 8.12 0.00
25 0.17 0.25 0.18 0.13 0.16* 9.11 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2006 AMC 10 B Results for South 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 1
149.0 124.0 99.0 1
148.5 123.5 98.5
148.0 123.0 98.0
147.5 122.5 97.5
147.0 122.0 97.0 1
146.5 121.5 1 96.5
146.0 121.0 96.0 1
145.5 120.5 95.5 1
145.0 120.0 95.0 1
144.5 119.5 94.5 1
144.0 119.0 94.0
143.5 118.5 1 93.5 2
143.0 1 118.0 93.0 1
142.5 117.5 92.5 2
142.0 117.0 1 92.0 1
141.5 116.5 91.5 1 1
141.0 116.0 1 91.0 1 1
140.5 115.5 90.5
140.0 115.0 90.0 1
139.5 114.5 89.5
139.0 114.0 89.0 1
138.5 113.5 88.5 1
138.0 113.0 88.0
137.5 112.5 1 87.5 1
137.0 112.0 87.0
136.5 111.5 1 86.5 1
136.0 111.0 1 86.0
135.5 110.5 85.5
135.0 110.0 85.0 2
134.5 109.5 84.5 1
134.0 109.0 84.0 1
133.5 108.5 83.5 1
133.0 108.0 83.0 2
132.5 107.5 1 1 82.5
132.0 107.0 82.0 3
131.5 106.5 81.5 1
131.0 106.0 81.0
130.5 105.5 80.5 2 1
130.0 105.0 1 80.0
129.5 104.5 79.5 2
129.0 104.0 79.0 2
128.5 103.5 78.5 1
128.0 103.0 3 2 78.0 2 1
127.5 102.5 77.5 1
127.0 102.0 77.0 1
126.5 101.5 1 1 76.5
126.0 101.0 76.0 3 2
125.5 100.5 1 75.5 1 1
American Mathematics Competitions
2006 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 2 25.0
74.5 2 3 49.5 4 2 24.5
74.0 49.0 1 24.0 1
73.5 1 48.5 1 23.5 1
73.0 1 48.0 1 4 23.0
72.5 1 1 47.5 22.5
72.0 2 1 47.0 4 22.0
71.5 2 46.5 1 2 21.5
71.0 2 46.0 1 21.0
70.5 2 45.5 2 2 20.5
70.0 2 4 45.0 1 2 20.0
69.5 1 2 44.5 2 1 19.5
69.0 2 1 44.0 2 19.0
68.5 4 1 43.5 1 1 18.5
68.0 1 43.0 2 18.0 1
67.5 1 2 42.5 1 17.5
67.0 1 42.0 1 2 17.0
66.5 1 41.5 2 16.5
66.0 1 41.0 2 16.0
65.5 1 40.5 1 15.5
65.0 3 2 40.0 15.0
64.5 2 39.5 14.5
64.0 2 1 39.0 14.0
63.5 2 38.5 1 13.5
63.0 3 2 38.0 1 13.0
62.5 2 1 37.5 12.5
62.0 1 2 37.0 2 12.0
61.5 2 2 36.5 11.5
61.0 3 36.0 2 11.0
60.5 3 35.5 1 10.5
60.0 1 35.0 10.0
59.5 1 34.5 1 9.5
59.0 3 3 34.0 1 9.0
58.5 1 33.5 1 8.5
58.0 1 1 33.0 1 8.0
57.5 1 3 32.5 7.5
57.0 2 1 32.0 7.0
56.5 1 31.5 6.5
56.0 5 31.0 1 6.0
55.5 3 5 30.5 5.5
55.0 30.0 2 5.0
54.5 1 3 29.5 2 4.5
54.0 1 4 29.0 4.0
53.5 3 1 28.5 3.5
53.0 3 3 28.0 1 3.0
52.5 1 1 27.5 2.5
52.0 4 27.0 2.0
51.5 2 26.5 1.5
51.0 1 2 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for South Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
143.0 1
125.0 1
121.5 1
118.5 1
117.0 1
116.0 1
112.5 1
111.5 1
111.0 1
107.5 2
105.0 1
103.0 5
101.5 2
100.5 1
99.5 1
99.0 1
97.0 1
96.0 1 1
95.5 1
95.0 1
94.5 1
93.5 1 1
93.0 1
92.5 1 1
92.0 1
91.5 1 1
91.0 1 1
90.0 1
89.0 1
88.5 1
87.5 1
86.5 1
85.0 2
84.5 1
84.0 1
83.5 1
83.0 1 2
82.0 2 1
81.5 1
80.5 1 2
79.5 1 1
79.0 2
78.5 1
78.0 1 2
77.5 1 1
77.0 1
76.0 1 4
75.5 1 1 1
75.0 1
74.5 5 1
73.5 1
73.0 1
72.5 1 1
72.0 3
71.5 2
71.0 3
70.5 1 1
70.0 3 3
69.5 1 3
69.0 2 1
68.5 2 3
68.0 1 1
67.5 1 2
67.0 1
66.5 1
66.0 1
65.5 1
65.0 1 1 3
64.5 2
64.0 2 1
63.5 1 1
63.0 1 2 2
62.5 2 1
62.0 3
61.5 2 3
61.0 2 1
60.5 2 1
60.0 1
59.5 1
59.0 4 2
58.5 1
58.0 3
57.5 3 1
57.0 1 1 1
56.5 1
56.0 5
55.5 6 2
54.5 3 1
54.0 1 3 1
53.5 2 2
53.0 4 2
52.5 2 1
52.0 3 1
51.5 1 1
51.0 1 2
50.5 1
50.0 3
49.5 1 3 2 1
49.0 1
48.5 1
48.0 3 2
47.0 3 1
46.5 2 1
46.0 1
45.5 2 2
45.0 1 2
44.5 4
44.0 2
43.5 2
43.0 1 1
42.5 1
42.0 1 1 1
41.5 2
41.0 2
40.5 1
38.5 1
38.0 1
37.0 2 1
36.0 2
35.5 1
34.5 1
34.0 1
33.5 1
33.0 1
31.0 1
30.0 1 1
29.5 1 1
28.0 1
24.0 1 1
23.5 1
18.0 1
American Mathematics Competitions
2006 AMC 10 B Results for South Carolina
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.54 0.61 4.88* 2.26 0.88 0.84 0.00
2 5.22* 0.67 0.03 0.17 0.47 3.43 0.00
3 7.58* 0.30 0.00 1.48 0.47 0.17 0.00
4 1.45 2.93 0.17 2.46* 1.41 1.58 0.00
5 0.64 4.61* 1.82 0.37 0.13 2.42 0.00
6 0.51 0.13 3.97 2.26* 0.27 2.86 0.00
7 1.85* 1.08 1.75 1.04 0.88 3.40 0.00
8 1.38 1.08* 0.30 1.85 0.37 5.02 0.00
9 0.17 7.41* 0.17 0.03 1.14 1.08 0.00
10 2.73* 0.30 1.45 0.24 2.53 2.76 0.00
11 0.30 0.77 1.89* 0.37 0.44 6.23 0.00
12 0.20 0.40 0.24 0.44 3.97* 4.75 0.00
13 0.81 0.10 3.13 0.67 1.95* 3.33 0.00
14 0.20 0.13 0.44 0.54* 0.07 8.62 0.00
15 0.81 0.30 1.04* 0.17 0.67 7.00 0.00
16 2.19 0.40 2.59 0.57 1.55* 2.69 0.00
17 2.36 1.14 1.92 1.78* 0.40 2.39 0.00
18 0.57 0.40 0.57 0.54 0.47* 7.44 0.00
19 0.34* 0.37 0.27 0.17 0.17 8.69 0.00
20 0.30 0.24 0.30 0.37 0.67* 8.11 0.00
21 0.61 0.27 0.30* 1.89 0.88 6.06 0.00
22 0.27 0.61 1.55 0.74* 0.10 6.73 0.00
23 0.40 0.77 0.13 0.30* 0.24 8.15 0.00
24 0.10 1.11* 0.64 0.27 0.10 7.78 0.00
25 0.30 2.32* 0.24 1.62 0.44 5.08 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2006 AMC 12 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 2
149.0 124.0 99.0 1
148.5 123.5 98.5 1
148.0 123.0 98.0
147.5 122.5 97.5 1 2
147.0 122.0 1 1 97.0 1 1
146.5 121.5 96.5
146.0 121.0 96.0 4
145.5 120.5 95.5
145.0 120.0 95.0 8
144.5 119.5 94.5 2
144.0 119.0 94.0 1
143.5 118.5 93.5 3 1
143.0 118.0 93.0
142.5 117.5 92.5 5 4
142.0 117.0 1 92.0
141.5 116.5 91.5 2
141.0 116.0 1 91.0
140.5 115.5 90.5 1
140.0 115.0 1 90.0 1 1
139.5 114.5 89.5 2
139.0 114.0 89.0 6 1
138.5 113.5 88.5 1 1
138.0 113.0 88.0 1 2
137.5 112.5 1 87.5 2
137.0 112.0 87.0 1
136.5 111.5 86.5 5
136.0 111.0 1 86.0 1
135.5 110.5 85.5 1 1
135.0 110.0 85.0 2 2
134.5 109.5 84.5 4 3
134.0 109.0 2 84.0 2
133.5 108.5 83.5 1
133.0 108.0 1 2 83.0 7 2
132.5 107.5 82.5
132.0 107.0 82.0 1 1
131.5 106.5 81.5 1
131.0 106.0 81.0 2
130.5 105.5 1 1 80.5 3 3
130.0 1 105.0 80.0 1
129.5 104.5 2 79.5 2 2
129.0 2 104.0 79.0 1
128.5 103.5 78.5 4
128.0 103.0 2 1 78.0 1 2
127.5 102.5 77.5 2 1
127.0 102.0 1 2 77.0 3 2
126.5 1 101.5 76.5
126.0 101.0 3 4 76.0 5 4
125.5 1 100.5 1 75.5 2 4
American Mathematics Competitions
2006 AMC 12 B Results for South Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 50.0 25.0
74.5 1 2 49.5 24.5
74.0 2 49.0 1 24.0
73.5 4 48.5 1 23.5
73.0 2 48.0 23.0 1
72.5 1 47.5 22.5
72.0 2 4 47.0 22.0
71.5 1 3 46.5 1 21.5
71.0 1 4 46.0 21.0
70.5 45.5 20.5
70.0 1 45.0 20.0
69.5 44.5 19.5
69.0 1 44.0 19.0
68.5 43.5 1 18.5
68.0 1 43.0 18.0
67.5 1 42.5 17.5
67.0 42.0 17.0
66.5 2 41.5 1 16.5
66.0 1 41.0 16.0
65.5 1 1 40.5 15.5
65.0 1 2 40.0 2 15.0
64.5 1 39.5 14.5
64.0 2 39.0 14.0
63.5 38.5 13.5
63.0 38.0 13.0
62.5 2 37.5 12.5
62.0 2 37.0 12.0
61.5 1 2 36.5 11.5
61.0 1 36.0 11.0
60.5 2 35.5 10.5
60.0 1 2 35.0 10.0
59.5 34.5 9.5
59.0 2 34.0 9.0
58.5 2 1 33.5 8.5
58.0 1 33.0 8.0
57.5 2 32.5 7.5
57.0 1 32.0 7.0
56.5 1 31.5 6.5
56.0 31.0 6.0
55.5 2 30.5 5.5
55.0 2 30.0 1 5.0
54.5 29.5 4.5
54.0 2 29.0 4.0
53.5 28.5 3.5
53.0 28.0 1 3.0
52.5 27.5 2.5
52.0 1 27.0 2.0
51.5 26.5 1.5
51.0 1 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for South Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
130.0 1
129.0 2
126.5 1
125.5 1
122.0 1 1
117.0 1
116.0 1
115.0 1
112.5 1
111.0 1
109.0 1 1
108.0 2 1
105.5 2
104.5 2
103.0 1 2
102.0 1 2
101.0 1 3 3
100.5 1
99.5 1 3
99.0 1
98.5 1
97.5 1 3
97.0 1 1
96.0 1 3
95.0 1 3 4
94.5 3
94.0 1
93.5 1 3
92.5 4 5
92.0 1
91.5 1 1
90.5 1
90.0 3
89.5 1 1
89.0 1 4 2
88.5 2
88.0 2 1
87.5 1 1
87.0 1
86.5 2 3
86.0 1
85.5 2
85.0 2 2
84.5 4 4
84.0 2
83.5 1
83.0 3 6
82.0 2
81.5 1
81.0 1 1
80.5 3 4
80.0 1
79.5 1 3
79.0 1
78.5 2 3
78.0 2 1
77.5 1 2
77.0 2 3
76.5 1
76.0 4 5
75.5 4 2
75.0 2
74.5 1 2
74.0 2
73.5 4
73.0 2
72.5 1
72.0 3 3
71.5 2 2
71.0 3 2
70.0 1
69.0 1
68.0 1
67.5 1
66.5 2 1
66.0 1
65.5 1 1
65.0 1 2
64.5 1
64.0 1 2
62.5 2
62.0 2
61.5 1 2
61.0 1
60.5 2
60.0 1 2
59.0 2
58.5 3
58.0 1
57.5 2
57.0 1
56.5 2
55.5 2
55.0 1 1
54.0 1 1
52.0 1
51.0 1
49.0 1
48.5 1
46.5 1
43.5 1
42.0 1
41.5 1
40.0 1 1
30.0 1
28.0 1
23.0 1
American Mathematics Competitions
2006 AMC 12 B Results for South Carolina
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.22 0.26 8.04* 1.03 0.15 0.30 0.00
2 7.93* 0.41 0.11 0.04 0.33 1.18 0.00
3 8.49* 0.15 0.00 1.07 0.18 0.11 0.00
4 8.89* 0.44 0.11 0.15 0.18 0.22 0.00
5 5.68* 0.89 0.33 0.30 0.11 2.69 0.00
6 0.07 8.52* 0.11 0.07 0.70 0.52 0.00
7 0.63 7.86* 0.41 0.59 0.07 0.44 0.00
8 0.30 0.33 0.26 0.52 5.83* 2.77 0.00
9 0.66 4.35* 0.37 0.63 0.33 3.62 0.04
10 2.99* 0.59 0.92 0.07 2.84 2.58 0.00
11 1.14 0.18 1.62 1.03 3.58* 2.44 0.00
12 0.63 0.33 0.48 0.74* 0.74 7.08 0.00
13 0.77 0.52 1.96* 0.15 0.30 6.31 0.00
14 0.30 0.70 2.25 1.59* 0.04 5.13 0.00
15 0.18 1.85* 0.81 0.44 0.30 6.42 0.00
16 0.07 0.30 1.18* 0.26 0.04 8.15 0.00
17 0.63 0.15 0.81* 1.70 0.59 6.13 0.00
18 0.55 0.44* 1.29 0.48 0.18 7.05 0.00
19 0.11 2.44* 0.11 1.48 0.26 5.61 0.00
20 0.11 0.30 0.33* 0.22 0.59 8.45 0.00
21 0.18 0.11 0.11* 0.04 0.18 9.37 0.00
22 0.30 0.41* 0.18 0.11 0.04 8.97 0.00
23 0.26 0.22 0.44 0.30 0.04* 8.75 0.00
24 0.15 0.15 0.11* 0.11 0.11 9.37 0.00
25 0.07 0.26* 0.48 0.33 0.07 8.78 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
