American Mathematics Competitions
2005 AMC 10 A Results for Delaware
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 368
Number of unofficial participants: 0
Average score of participants: 72.6
Average score for female students is: 70.5 ( 167 Students)
Average score for male students is: 74.9 ( 188 Students)
Average score for unspecified gender is 66.3 ( 13 Students)
Average score for grade 10 is: 72.0 ( 201 Students)
Average score for grade 9 is: 73.7 ( 163 Students)
Average score with unknown grade: 54.3 ( 4 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 2
Number of schools returning results 10
Average school winning score 107.80
American Mathematics Competitions
2005 AMC 12 A Results for Delaware
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 294
Number of unofficial participants: 0
Average score of participants: 80.3
Average score for female students is: 77.4 ( 117 Students)
Average score for male students is: 82.4 ( 171 Students)
Average score for unspecified gender is 80.0 ( 6 Students)
Average score for grade 12 is: 80.8 ( 123 Students)
Average score for grade 11 is: 79.5 ( 145 Students)
Average score for grade 10 is: 80.8 ( 22 Students)
Average score for grade 9 is: 118.5 ( 1 Student)
Average score with unknown grade: 86.3 ( 3 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 39
Number of schools returning results 10
Average school winning score 111.40
Average school team score 315.95
American Mathematics Competitions
2005 AMC 10 B Results for Delaware
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 56
Number of unofficial participants: 0
Average score of participants: 84.6
Average score for female students is: 80.0 ( 32 Students)
Average score for male students is: 90.0 ( 23 Students)
Average score for unspecified gender is 110.0 ( 1 Student)
Average score for grade 10 is: 83.2 ( 40 Students)
Average score for grade 9 is: 88.2 ( 16 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 2
Number of schools returning results 3
Average school winning score 116.33
American Mathematics Competitions
2005 AMC 12 B Results for Delaware
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 138
Number of unofficial participants: 0
Average score of participants: 80.6
Average score for female students is: 81.9 ( 73 Students)
Average score for male students is: 79.3 ( 62 Students)
Average score for unspecified gender is 73.7 ( 3 Students)
Average score for grade 12 is: 81.1 ( 43 Students)
Average score for grade 11 is: 80.2 ( 66 Students)
Average score for grade 10 is: 80.2 ( 26 Students)
Average score for grade 9 is: 83.5 ( 2 Students)
Average score with unknown grade: 81.5 ( 1 Student)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 6
Number of schools returning results 5
Average school winning score 104.70
Average school team score 300.60
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
375.0 1 1
324.5 1 1 2
324.0 1 4
322.5 2 5
318.0 1 7
313.0 1 8
308.0 1 9
296.5 1 10
294.5 1 11
290.5 1 12
290.0 1 13
285.0 1 14
274.0 1 15
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
143.0 1
134.5 1
128.5 1
126.5 1
122.0 1
121.5 1
118.5 1
116.0 2
115.5 1
115.0 1
113.5 1
112.5 1
111.5 3 1
111.0 1 1
110.0 1 1
109.5 2
109.0 1 2 1 2
108.5 2
108.0 8 1
107.5 2 1
106.5 3
106.0 1
105.5 4
104.5 1 1
104.0 1 1
103.0 3 1 1
102.0 2 1 2
101.0 2 2
100.5 2 3
99.5 3 2 1 1
99.0 1 1
98.5 4 3 1
98.0 1 3
97.5 2 2
97.0 2 2
96.0 3 2 1 1
95.5 4 1
95.0 9 2 1
94.5 1 2 2
94.0 2 1
93.5 1 1 2
93.0 1 1
92.5 5 4 2 1
92.0 1
91.5 5 2 2
91.0 2 1 2
90.5 1 1
90.0 5 3 5 1
89.5 1 1
89.0 5 4 6 1
88.5 1 2
88.0 4 3 2
87.5 1 2 4
87.0 2 1
86.5 5 6 4
86.0 2 5 1
85.5 7 4 5 1
85.0 1 4 5 2
84.5 5 4 4
84.0 6 1 1 2
83.5 2 4
83.0 7 4 2
82.5 1 1
82.0 4 3 6 4
81.5 1 1 4
81.0 4 2 5 3
80.5 4 6 5 1
80.0 3 2 1
79.5 3 1 7
79.0 1 1
78.5 6 3 7
78.0 2 2 2
77.5 3 3 1 1
77.0 12 1 9
76.5 1 2 1
76.0 7 3 6 1
75.5 2 3 4
75.0 6 2 5
74.5 9 3 5 1
74.0 2 2
73.5 3 1 6
73.0 2 3
72.5 2 1 7
72.0 1 4 5
71.5 4 2 2
71.0 3 2 4 1
70.5 1 4
70.0 3 1 9
69.5 2 1 4
69.0 3 3
68.5 2 6
68.0 2 3
67.5 2 1 9
67.0 2 3
66.5 3 9 2
66.0 7 2 3
65.5 1 1 4
65.0 4 6
64.5 2 1 5
64.0 4 2 4
63.5 5 5
63.0 2 1
62.5 2 4 1
62.0 1 4
61.5 2 3
61.0 2 1 3 1
60.5 1 2 1
60.0 4 6
59.5 1 1
59.0 5 1 6
58.5 2 3
58.0 3 2
57.5 1 2
57.0 1 4
56.5 1 2 4
56.0 1 2 2
55.5 5 1
55.0 1 1 3
54.5 2
54.0 4 5
53.5 1 1
53.0 3
52.5 1
52.0 1
51.5 1 1
51.0 1 1
50.5 1 1 3
49.0 2
48.5 1
48.0 1 2 1
47.5 1 1
47.0 1 1
46.5 2
46.0 1
45.5 1
44.5 3
44.0 1
43.5 1
42.5 3
42.0 1 1
41.5 1
40.5 1
39.5 2 1
38.5 1
38.0 1
36.5 1
36.0 3
31.0 1
30.0 1
23.0 1
21.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Delaware
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 1
149.0 124.0 99.0 1
148.5 123.5 98.5 1
148.0 123.0 98.0 1 1
147.5 122.5 97.5 2
147.0 122.0 97.0 2
146.5 121.5 96.5
146.0 121.0 96.0 1
145.5 120.5 95.5 3 1
145.0 120.0 95.0 1
144.5 119.5 94.5 2
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 1 1
142.0 117.0 92.0
141.5 116.5 91.5 1 1
141.0 116.0 91.0 2
140.5 115.5 1 90.5
140.0 115.0 90.0 4 1
139.5 114.5 89.5
139.0 114.0 89.0 3 3
138.5 113.5 88.5 1 1
138.0 113.0 88.0
137.5 112.5 87.5 3 1
137.0 112.0 87.0 1
136.5 111.5 1 86.5 3
136.0 111.0 1 86.0 3 2
135.5 110.5 85.5 1 3
135.0 110.0 1 85.0 3 2
134.5 109.5 2 84.5 1 3
134.0 109.0 1 84.0 1
133.5 108.5 2 83.5 2 2
133.0 108.0 1 83.0 2
132.5 107.5 1 82.5
132.0 107.0 82.0 3 3
131.5 106.5 81.5 3 1
131.0 106.0 1 81.0 2 3
130.5 105.5 80.5 2 3
130.0 105.0 80.0 2
129.5 104.5 79.5 3 4
129.0 104.0 1 79.0
128.5 1 103.5 78.5 3 4
128.0 103.0 78.0 1 1
127.5 102.5 77.5 1
127.0 102.0 2 77.0 4 5
126.5 1 101.5 76.5 1
126.0 101.0 76.0 3 3
125.5 100.5 2 1 75.5 3 1
American Mathematics Competitions
2005 AMC 10 A Results for Delaware
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 4 50.0 25.0
74.5 4 1 49.5 24.5
74.0 1 1 49.0 2 24.0
73.5 5 1 48.5 23.5
73.0 2 1 48.0 2 23.0
72.5 2 5 47.5 1 22.5
72.0 4 1 47.0 1 22.0
71.5 1 46.5 1 1 21.5
71.0 3 1 46.0 1 21.0 1
70.5 4 45.5 1 20.5
70.0 3 6 45.0 20.0
69.5 3 1 44.5 1 1 19.5
69.0 1 2 44.0 1 19.0
68.5 2 4 43.5 18.5
68.0 2 43.0 18.0
67.5 5 4 42.5 1 2 17.5
67.0 1 2 42.0 1 17.0
66.5 4 4 41.5 1 16.5
66.0 1 2 41.0 16.0
65.5 1 3 40.5 15.5
65.0 3 3 40.0 15.0
64.5 1 4 39.5 1 14.5
64.0 3 1 39.0 14.0
63.5 2 2 38.5 13.5
63.0 2 38.0 1 13.0
62.5 3 1 37.5 12.5
62.0 3 1 37.0 12.0
61.5 2 1 36.5 11.5
61.0 1 2 36.0 1 2 11.0
60.5 1 1 35.5 10.5
60.0 5 1 35.0 10.0
59.5 1 34.5 9.5
59.0 1 4 34.0 9.0
58.5 1 2 33.5 8.5
58.0 2 33.0 8.0
57.5 1 1 32.5 7.5
57.0 2 1 32.0 7.0
56.5 1 3 31.5 6.5
56.0 1 1 31.0 1 6.0
55.5 4 30.5 5.5
55.0 2 1 30.0 1 5.0
54.5 1 1 29.5 4.5
54.0 2 2 29.0 4.0
53.5 1 28.5 3.5
53.0 2 28.0 3.0
52.5 1 27.5 2.5
52.0 1 27.0 2.0
51.5 1 26.5 1.5
51.0 26.0 1.0
50.5 2 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Delaware
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
128.5 1
126.5 1
115.5 1
111.5 1
111.0 1
110.0 1
109.5 1 1
109.0 1
108.5 1 1
108.0 1
107.5 1
106.0 1
104.0 1
102.0 2
100.5 2 1
99.5 1
99.0 1
98.5 1
98.0 1 2
97.5 2
97.0 2
96.0 1
95.5 4
95.0 1
94.5 1 1
93.5 1
92.5 1 1
91.5 2
91.0 1 1
90.0 1 4
89.0 3 3
88.5 2
87.5 1 3
87.0 1
86.5 2 2
86.0 4 1
85.5 2 3
85.0 1 4
84.5 3 1
84.0 1
83.5 2 2
83.0 2
82.0 2 4
81.5 2 2
81.0 5
80.5 1 4
80.0 2
79.5 3 4
78.5 5 2
78.0 2
77.5 1
77.0 1 8
76.5 1
76.0 4 2
75.5 2 2
75.0 4 1
74.5 2 3
74.0 2
73.5 3 3
73.0 1 2
72.5 1 6
72.0 1 3 1
71.5 2
71.0 2 2
70.5 3 1
70.0 5 4
69.5 1 3
69.0 2 1
68.5 2 4
68.0 3
67.5 2 7
67.0 3
66.5 5 4
66.0 2 1
65.5 3 1
65.0 3 3
64.5 3 2
64.0 2 2
63.5 3 2
63.0 2
62.5 2 2
62.0 3 1
61.5 1 2
61.0 3
60.5 1 1
60.0 3 3
59.5 1
59.0 2 4
58.5 3
58.0 1 1
57.5 1 1
57.0 1 3
56.5 3 1
56.0 2
55.5 1 4
55.0 2 1
54.5 2
54.0 3 1 1
53.5 1
53.0 1 2
52.5 1
52.0 1
51.5 1
50.5 3
49.0 2
48.0 1 1
47.5 1
47.0 1
46.5 1 1
46.0 1
45.5 1
44.5 1 1 1
44.0 1
42.5 2 1
42.0 1
41.5 1
39.5 1
38.0 1
36.0 3
31.0 1
30.0 1
21.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Delaware
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 0.16 0.05 0.27 9.08* 0.24 0.19 0.00
2 0.19 0.24 5.46* 0.03 1.30 2.77 0.00
3 0.03 8.91* 0.19 0.46 0.08 0.33 0.00
4 0.19 1.52* 1.68 0.82 0.41 5.38 0.00
5 5.46* 0.57 3.75 0.03 0.03 0.16 0.00
6 0.41 4.46* 3.29 0.14 0.08 1.63 0.00
7 0.68 3.86* 0.33 0.38 0.76 3.99 0.00
8 1.14 0.38 3.72* 0.14 0.11 4.51 0.00
9 1.33 5.03* 1.33 0.11 0.19 2.01 0.00
10 1.28* 0.27 1.39 0.16 0.16 6.74 0.00
11 0.54 1.60* 0.14 0.90 0.05 6.77 0.00
12 0.19 1.03* 0.46 0.19 0.49 7.64 0.00
13 1.47 0.54 0.24 0.27 0.92* 6.55 0.00
14 0.68 0.49 0.38 0.24 2.09* 6.11 0.00
15 0.27 0.65 0.41 0.95 0.65* 7.07 0.00
16 0.57 0.33 0.68 1.74* 0.11 6.58 0.00
17 0.22 0.33 0.35 2.07* 0.52 6.52 0.00
18 1.66* 1.60 1.25 3.32 0.24 1.93 0.00
19 0.54 0.63 0.54 3.18* 0.65 4.46 0.00
20 0.38* 0.33 0.30 0.38 0.24 8.37 0.00
21 1.90 0.79* 0.11 0.24 0.57 6.39 0.00
22 0.63 0.49 0.35 1.98* 0.46 6.09 0.00
23 0.22 0.33 0.92* 0.98 0.90 6.66 0.00
24 0.68 0.82* 0.22 0.22 0.16 7.91 0.00
25 0.38 0.65 0.82 0.60* 0.08 7.47 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 Delaware
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
149.0 124.0 99.0
148.5 123.5 98.5 2 2
148.0 123.0 98.0
147.5 122.5 97.5 1
147.0 122.0 1 97.0 2
146.5 121.5 96.5
146.0 121.0 96.0 3
145.5 120.5 95.5
145.0 120.0 95.0 7 2
144.5 119.5 94.5 1
144.0 119.0 94.0 1 1
143.5 118.5 1 93.5 1
143.0 118.0 93.0 1
142.5 117.5 92.5 4 1
142.0 117.0 92.0
141.5 116.5 91.5 2 3
141.0 116.0 1 1 91.0 1 1
140.5 115.5 90.5 1
140.0 115.0 1 90.0 2 2
139.5 114.5 89.5
139.0 114.0 89.0 2 3
138.5 113.5 88.5
138.0 113.0 88.0 2 2
137.5 112.5 1 87.5 1
137.0 112.0 87.0
136.5 111.5 1 2 86.5 2 3
136.0 111.0 1 86.0
135.5 110.5 85.5 5 1
135.0 110.0 85.0 1
134.5 1 109.5 84.5 2 3
134.0 109.0 1 84.0 3 3
133.5 108.5 83.5 1 1
133.0 108.0 6 2 83.0 6 1
132.5 107.5 2 82.5
132.0 107.0 82.0 2 2
131.5 106.5 3 81.5 1
131.0 106.0 81.0 2 2
130.5 105.5 3 1 80.5 2 2
130.0 105.0 80.0 3
129.5 104.5 1 79.5 2 1
129.0 104.0 79.0
128.5 103.5 78.5 3 3
128.0 103.0 2 1 78.0 2
127.5 102.5 77.5 1 2
127.0 102.0 2 77.0 4 7
126.5 101.5 76.5 1
126.0 101.0 1 1 76.0 5 2
125.5 100.5 2 75.5 2
American Mathematics Competitions
2005 AMC 12 A Results for Delaware
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 2 50.0 25.0
74.5 5 4 49.5 24.5
74.0 1 1 49.0 24.0
73.5 2 1 48.5 23.5
73.0 2 48.0 23.0
72.5 1 1 47.5 1 22.5
72.0 1 47.0 1 22.0
71.5 2 2 46.5 21.5
71.0 1 1 46.0 21.0
70.5 1 45.5 20.5
70.0 2 1 45.0 20.0
69.5 1 1 44.5 19.5
69.0 1 2 44.0 19.0
68.5 2 43.5 1 18.5
68.0 1 1 43.0 18.0
67.5 1 1 42.5 17.5
67.0 42.0 1 17.0
66.5 1 2 41.5 16.5
66.0 4 3 41.0 16.0
65.5 1 40.5 1 15.5
65.0 4 40.0 15.0
64.5 2 39.5 2 14.5
64.0 1 3 39.0 14.0
63.5 4 1 38.5 1 13.5
63.0 38.0 13.0
62.5 2 37.5 12.5
62.0 37.0 12.0
61.5 2 36.5 1 11.5
61.0 1 1 36.0 11.0
60.5 35.5 10.5
60.0 2 2 35.0 10.0
59.5 1 34.5 9.5
59.0 1 3 34.0 9.0
58.5 2 33.5 8.5
58.0 2 1 33.0 8.0
57.5 1 32.5 7.5
57.0 1 32.0 7.0
56.5 1 31.5 6.5
56.0 1 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 5.0
54.5 29.5 4.5
54.0 3 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 1 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Delaware
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
134.5 1
122.0 1
118.5 1
116.0 2
115.0 1
112.5 1
111.5 2 1
111.0 1
109.0 1
108.0 1 4 3
107.5 1 1
106.5 1 2
105.5 1 2 1
104.5 1
103.0 1 2
102.0 1 1
101.0 2
100.5 1 1
99.5 1 2
98.5 1 3
97.5 1 1
97.0 2
96.0 1 1 1
95.0 1 7 1
94.5 1
94.0 1 1
93.5 1
93.0 1
92.5 1 4
91.5 1 4
91.0 1 1
90.5 1
90.0 3 2
89.0 2 3
88.0 1 3
87.5 1
86.5 3 2
85.5 3 4
85.0 1
84.5 2 3
84.0 1 5
83.5 1 1
83.0 3 4
82.0 1 2 1
81.5 1
81.0 4
80.5 4
80.0 3
79.5 1 2
78.5 5 1
78.0 1 1
77.5 2 1
77.0 8 4
76.5 1
76.0 5 2
75.5 2
75.0 4 2
74.5 1 5 3
74.0 2
73.5 1 1 1
73.0 1 1
72.5 2
72.0 1
71.5 4
71.0 3
70.5 1
70.0 2 1
69.5 1 1
69.0 2 1
68.5 2
68.0 1 1
67.5 2
66.5 1 1 1
66.0 3 4
65.5 1
65.0 1 3
64.5 1 1
64.0 1 2 1
63.5 1 1 3
62.5 1 1
61.5 2
61.0 1 1
60.0 2 2
59.5 1
59.0 1 3 1
58.5 2
58.0 1 2
57.5 1
57.0 1
56.5 1
56.0 1
55.0 1
54.0 1 2 1
51.0 1
50.5 1
47.5 1
47.0 1
43.5 1
42.0 1
40.5 1
39.5 2
38.5 1
36.5 1
American Mathematics Competitions
2005 AMC 12 A Results for Delaware
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 0.00 0.03 9.80* 0.10 0.03 0.00
2 0.00 9.46* 0.14 0.41 0.00 0.00 0.00
3 0.31 4.49* 1.09 0.37 0.58 3.16 0.00
4 6.87* 0.20 2.86 0.03 0.00 0.03 0.00
5 0.20 7.11* 1.67 0.00 0.10 0.92 0.00
6 0.37 5.92* 0.17 0.31 0.58 2.65 0.00
7 0.68 0.31 7.01* 0.14 0.14 1.73 0.00
8 0.24 0.17 0.27 2.11* 0.34 6.87 0.00
9 3.10* 0.58 0.99 0.20 0.17 4.97 0.00
10 0.31 2.86* 0.20 0.44 0.17 6.02 0.00
11 0.65 0.31 0.37 0.61 4.12* 3.95 0.00
12 0.95 0.17 0.07 4.25* 1.46 3.10 0.00
13 0.10 0.24 0.48 3.27* 0.20 5.71 0.00
14 0.10 0.58 3.20 1.39* 0.37 4.35 0.00
15 0.17 0.31 1.02* 1.02 0.82 6.67 0.00
16 0.07 0.44 0.82 0.82* 0.44 7.41 0.00
17 1.60* 0.85 1.26 0.27 0.44 5.58 0.00
18 0.41* 0.27 0.34 0.24 0.20 8.54 0.00
19 0.58 2.79* 1.05 0.24 0.78 4.56 0.00
20 0.34 0.07 0.14 0.10 0.10* 9.25 0.00
21 0.58 0.37 0.34* 0.20 0.00 8.50 0.00
22 0.27 0.41* 0.31 0.20 0.07 8.74 0.00
23 0.48 0.48* 0.48 0.17 0.54 7.86 0.00
24 0.03 0.17* 0.10 0.03 0.10 9.56 0.00
25 0.27 0.17 0.07* 0.10 0.00 9.39 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 Delaware
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 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
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
144.5 119.5 94.5 2
144.0 119.0 94.0
143.5 118.5 93.5 2
143.0 1 118.0 93.0 1
142.5 117.5 92.5 1
142.0 117.0 92.0
141.5 116.5 91.5
141.0 116.0 91.0
140.5 115.5 90.5
140.0 115.0 90.0 1
139.5 114.5 89.5 1
139.0 114.0 89.0 1
138.5 113.5 88.5
138.0 113.0 88.0 1 1
137.5 112.5 87.5
137.0 112.0 87.0
136.5 111.5 86.5
136.0 111.0 86.0 1
135.5 110.5 85.5 1
135.0 110.0 85.0 2
134.5 109.5 84.5
134.0 109.0 1 1 84.0 1 1
133.5 108.5 83.5
133.0 108.0 83.0
132.5 107.5 82.5 1
132.0 107.0 82.0 1 3
131.5 106.5 81.5
131.0 106.0 81.0 1 2
130.5 105.5 80.5 1
130.0 105.0 80.0 1
129.5 104.5 79.5
129.0 104.0 1 79.0 1
128.5 103.5 78.5
128.0 103.0 1 78.0
127.5 102.5 77.5 1
127.0 102.0 77.0
126.5 101.5 76.5
126.0 101.0 1 1 76.0 1
125.5 100.5 75.5
American Mathematics Competitions
2005 AMC 10 B Results for Delaware
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 50.0 25.0
74.5 1 49.5 24.5
74.0 49.0 24.0
73.5 48.5 23.5
73.0 48.0 1 23.0
72.5 47.5 22.5
72.0 47.0 22.0
71.5 46.5 21.5
71.0 1 46.0 21.0
70.5 45.5 20.5
70.0 45.0 20.0
69.5 44.5 19.5
69.0 44.0 19.0
68.5 43.5 18.5
68.0 43.0 18.0
67.5 42.5 17.5
67.0 42.0 17.0
66.5 2 41.5 16.5
66.0 41.0 16.0
65.5 40.5 15.5
65.0 40.0 15.0
64.5 39.5 14.5
64.0 39.0 14.0
63.5 38.5 13.5
63.0 1 38.0 13.0
62.5 1 37.5 12.5
62.0 37.0 12.0
61.5 36.5 11.5
61.0 1 36.0 11.0
60.5 1 35.5 10.5
60.0 35.0 10.0
59.5 34.5 9.5
59.0 34.0 9.0
58.5 33.5 8.5
58.0 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 5.0
54.5 29.5 4.5
54.0 29.0 4.0
53.5 1 28.5 3.5
53.0 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 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Delaware
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
143.0 1
121.5 1
110.0 1
109.0 1 1
104.0 1
103.0 1
101.0 1 1
99.5 1
99.0 1
96.0 1
95.5 1
94.5 2
93.5 1 1
93.0 1
92.5 1
90.0 1
89.5 1
89.0 1
88.0 1 1
86.0 1
85.5 1
85.0 2
84.0 1 1
82.5 1
82.0 1 3
81.0 1 2
80.5 1
80.0 1
79.0 1
77.5 1
76.0 1
74.5 1
71.0 1
66.5 1 1
63.0 1
62.5 1
61.0 1
60.5 1
55.5 1
53.5 1
51.5 1
51.0 1
48.0 1
American Mathematics Competitions
2005 AMC 10 B Results for Delaware
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 8.75* 0.18 0.18 0.36 0.36 0.18 0.00
2 0.00 0.00 0.00 10.00* 0.00 0.00 0.00
3 0.00 1.07 0.54 7.14* 1.07 0.18 0.00
4 0.89 0.00 0.36 6.61* 0.18 1.96 0.00
5 0.36 0.00 9.46* 0.00 0.00 0.18 0.00
6 0.54 9.11* 0.36 0.00 0.00 0.00 0.00
7 1.61 1.25* 0.36 1.43 0.71 4.64 0.00
8 7.68* 0.18 0.36 0.00 0.00 1.79 0.00
9 0.54 0.89 1.07 5.54* 0.71 1.25 0.00
10 1.96* 0.71 0.71 0.36 0.00 6.25 0.00
11 0.18 0.54 0.00 2.68 3.21* 3.39 0.00
12 0.89 0.89 0.36 0.18 0.89* 6.79 0.00
13 0.71 0.89 1.79* 1.43 0.89 4.29 0.00
14 0.71 0.00 2.14* 0.71 0.36 6.07 0.00
15 1.79 0.54 0.71 4.29* 0.71 1.96 0.00
16 0.18 1.07 0.36 0.54* 0.18 7.68 0.00
17 0.54 3.39* 1.25 0.54 0.18 4.11 0.00
18 0.54 5.18 0.71 2.32* 0.18 1.07 0.00
19 0.36 7.14* 0.54 0.36 0.36 1.25 0.00
20 0.36 0.36 1.25* 0.71 0.36 6.96 0.00
21 0.36* 0.00 0.71 0.54 0.36 8.04 0.00
22 0.36 1.61 1.07* 0.18 0.00 6.79 0.00
23 2.86 0.36 0.89* 0.18 0.18 5.54 0.00
24 0.18 0.89 0.00 0.54 1.61* 6.79 0.00
25 0.36 0.36 4.46* 0.00 0.36 4.46 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 Delaware
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
148.5 123.5 98.5 3
148.0 123.0 98.0 1
147.5 122.5 97.5
147.0 122.0 97.0
146.5 121.5 96.5
146.0 121.0 96.0 2
145.5 120.5 95.5
145.0 120.0 95.0 2
144.5 119.5 94.5
144.0 119.0 94.0 1
143.5 118.5 93.5
143.0 118.0 93.0
142.5 117.5 92.5 2 2
142.0 117.0 92.0 1
141.5 116.5 91.5 2
141.0 116.0 91.0 1
140.5 115.5 90.5 1
140.0 115.0 90.0 3
139.5 114.5 89.5 1
139.0 114.0 89.0 3 1
138.5 113.5 1 88.5 1
138.0 113.0 88.0 1 2
137.5 112.5 87.5 1 1
137.0 112.0 87.0 2
136.5 111.5 86.5 2 4
136.0 111.0 86.0 2
135.5 110.5 85.5 1 3
135.0 110.0 85.0 2 2
134.5 109.5 84.5 1 3
134.0 109.0 2 84.0 1
133.5 108.5 83.5
133.0 108.0 83.0 2 2
132.5 107.5 82.5 1
132.0 107.0 82.0 1 2
131.5 106.5 81.5
131.0 106.0 81.0 2
130.5 105.5 80.5 3 3
130.0 105.0 80.0
129.5 104.5 1 79.5 1
129.0 104.0 79.0 1
128.5 103.5 78.5 3
128.0 103.0 1 78.0 1 1
127.5 102.5 77.5 3
127.0 102.0 1 77.0 1
126.5 101.5 76.5 2
126.0 101.0 76.0 1 2
125.5 100.5 75.5 1 2
American Mathematics Competitions
2005 AMC 12 B Results for Delaware
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 50.0 25.0
74.5 2 1 49.5 24.5
74.0 49.0 24.0
73.5 1 48.5 1 23.5
73.0 48.0 1 23.0 1
72.5 1 47.5 22.5
72.0 1 2 47.0 22.0
71.5 1 1 46.5 21.5
71.0 2 46.0 21.0
70.5 45.5 20.5
70.0 1 45.0 20.0
69.5 1 44.5 19.5
69.0 44.0 19.0
68.5 43.5 18.5
68.0 43.0 18.0
67.5 42.5 17.5
67.0 1 1 42.0 17.0
66.5 41.5 16.5
66.0 2 41.0 16.0
65.5 1 40.5 15.5
65.0 40.0 15.0
64.5 1 39.5 14.5
64.0 1 1 39.0 14.0
63.5 38.5 13.5
63.0 38.0 13.0
62.5 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 1 35.5 10.5
60.0 35.0 10.0
59.5 34.5 9.5
59.0 1 34.0 9.0
58.5 33.5 8.5
58.0 33.0 8.0
57.5 32.5 7.5
57.0 32.0 7.0
56.5 2 31.5 6.5
56.0 1 1 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 5.0
54.5 29.5 4.5
54.0 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 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Delaware
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
113.5 1
109.0 1 1
104.5 1
103.0 1
102.0 1
99.5 1 1
98.5 2 1
98.0 1
96.0 1 1
95.0 2
94.0 1
92.5 4
92.0 1
91.5 1 1
91.0 1
90.5 1
90.0 1 1 1
89.5 1
89.0 3 1
88.5 1
88.0 2 1
87.5 2
87.0 1 1
86.5 1 4 1
86.0 1 1
85.5 1 2 1
85.0 4
84.5 3 1
84.0 1
83.0 4
82.5 1
82.0 2 1
81.5 1
81.0 2
80.5 1 1 4
79.5 1
79.0 1
78.5 1 2
78.0 2
77.5 2 1
77.0 1
76.5 1 1
76.0 1 2
75.5 2 1
75.0 1 1
74.5 1 2
73.5 1
72.5 1
72.0 1 3
71.5 1 1
71.0 1 1
70.0 1
69.5 1
67.5 1
67.0 1 1
66.0 2
65.5 1
64.5 1
64.0 1 1
62.0 1
61.0 1
60.5 1
59.0 1
56.5 1 1
56.0 1 1
55.0 1
50.5 1
48.5 1
48.0 1
23.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Delaware
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 9.64* 0.14 0.22 0.00 0.00 0.00 0.00
2 0.14 0.14 0.00 9.13* 0.07 0.51 0.00
3 0.07 0.07 9.49* 0.14 0.07 0.14 0.00
4 0.14 8.91* 0.22 0.22 0.14 0.36 0.00
5 7.83* 0.07 1.01 0.00 0.00 1.09 0.00
6 1.74* 0.72 0.65 0.29 0.29 6.30 0.00
7 2.25 1.45 0.22 1.16* 0.22 4.71 0.00
8 1.52 2.17 3.41* 0.07 0.94 1.88 0.00
9 1.01 7.61* 0.29 0.51 0.14 0.43 0.00
10 0.00 0.43 0.14 2.17 2.90* 4.28 0.07
11 0.80 0.72 0.65 4.78* 0.80 2.25 0.00
12 0.36 0.65 0.65 0.43* 0.14 7.75 0.00
13 0.58 0.22 0.22 0.87* 0.14 7.97 0.00
14 0.65 0.87 0.65 0.29 0.72* 6.81 0.00
15 0.72 0.29 0.43 4.20* 0.36 3.99 0.00
16 0.14 0.00 0.80 0.29* 0.36 8.41 0.00
17 0.36 0.14* 0.29 0.07 0.58 8.55 0.00
18 1.67 0.36 0.22* 0.36 0.14 7.25 0.00
19 0.51 0.00 0.36 0.36 2.39* 6.38 0.00
20 0.07 0.07 4.78* 0.43 1.09 3.55 0.00
21 0.29 0.51 0.00* 0.36 0.14 8.70 0.00
22 0.51 0.51 0.22 0.22 0.00* 8.55 0.00
23 0.07 0.00* 0.22 0.07 0.00 9.64 0.00
24 0.65* 0.36 0.22 0.14 0.14 8.48 0.00
25 0.07* 0.36 0.22 0.22 0.14 8.99 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column