American Mathematics Competitions
2005 AMC 10 A Results for New Hampshire
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 518
Number of unofficial participants: 0
Average score of participants: 81.9
Average score for female students is: 78.7 ( 221 Students)
Average score for male students is: 84.4 ( 286 Students)
Average score for unspecified gender is 80.5 ( 11 Students)
Average score for grade 10 is: 83.1 ( 308 Students)
Average score for grade 9 is: 81.1 ( 193 Students)
Average score for grade 8 and below is: 80.2 ( 5 Students)
Average score with unknown grade: 66.1 ( 12 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 23
Number of schools returning results 14
Average school winning score 113.75
American Mathematics Competitions
2005 AMC 12 A Results for New Hampshire
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 588
Number of unofficial participants: 0
Average score of participants: 81.2
Average score for female students is: 79.0 ( 247 Students)
Average score for male students is: 82.9 ( 314 Students)
Average score for unspecified gender is 80.5 ( 27 Students)
Average score for grade 13 is: 110.0 ( 1 Student)
Average score for grade 12 is: 84.7 ( 216 Students)
Average score for grade 11 is: 79.9 ( 330 Students)
Average score for grade 10 is: 70.8 ( 34 Students)
Average score for grade 9 is: 58.5 ( 3 Students)
Average score with unknown grade: 88.4 ( 4 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 85
Number of schools returning results 18
Average school winning score 111.28
Average school team score 311.81
American Mathematics Competitions
2005 AMC 10 B Results for New Hampshire
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 245
Number of unofficial participants: 0
Average score of participants: 70.0
Average score for female students is: 65.1 ( 120 Students)
Average score for male students is: 75.8 ( 115 Students)
Average score for unspecified gender is 62.9 ( 10 Students)
Average score for grade 10 is: 73.4 ( 121 Students)
Average score for grade 9 is: 66.8 ( 124 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 7
Number of schools returning results 7
Average school winning score 109.86
American Mathematics Competitions
2005 AMC 12 B Results for New Hampshire
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 167
Number of unofficial participants: 0
Average score of participants: 86.3
Average score for female students is: 81.0 ( 68 Students)
Average score for male students is: 90.8 ( 94 Students)
Average score for unspecified gender is 72.7 ( 5 Students)
Average score for grade 12 is: 86.2 ( 80 Students)
Average score for grade 11 is: 84.5 ( 75 Students)
Average score for grade 10 is: 104.2 ( 7 Students)
Average score for grade 9 is: 104.0 ( 3 Students)
Average score with unknown grade: 66.3 ( 2 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 40
Number of schools returning results 9
Average school winning score 112.94
Average school team score 306.11
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
421.5 1 1
412.0 1 2
368.0 1 3
365.5 1 4
344.5 1 5
343.5 1 6
343.0 1 7
334.5 1 8
333.0 1 9
321.5 1 10
320.0 1 11
319.0 1 12
316.5 1 13
310.0 1 14
307.0 1 15
302.5 1 16
300.0 1 17
299.0 1 18
285.0 1 19
280.5 2 20
274.0 1 22
255.0 1 23
250.0 1 24
238.5 1 25
225.5 1 26
217.5 1 27
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 2 1
144.0 1 2 3
140.5 1
139.5 1
138.0 2 2 3 1
137.0 2 1
136.0 1
132.5 2 1
132.0 2
131.0 1
130.0 1 1 2
128.5 1 1
127.5 1 1
126.0 1 1
125.5 2
125.0 1 2
124.0 3 1
123.0 1
121.5 2 2 1
120.5 2 2 1
120.0 1 2
119.5 1 2
119.0 1 1
118.5 1
118.0 2 1
117.0 3 2
116.5 1 1
116.0 1 1
115.5 2 1
114.5 4 2 3
113.5 1 1 5
113.0 1
112.5 2 1
112.0 2
111.5 2 1
111.0 2 1 1
110.0 3 2 1 1
109.5 1
109.0 3 3 2
108.5 2
108.0 7 2
107.5 1 2 2
107.0 1
106.5 2 1 6 1
105.5 6 4
105.0 3
104.5 6 1 1
104.0 3 3
103.5 1
103.0 5 5 1
102.5 2 2
102.0 5 2 4
101.5 1 1
101.0 10 2
100.5 1 4 2
99.5 6 2 4
99.0 1
98.5 3 2 3
98.0 4 1 6
97.5 5 2 1
97.0 4 6 2
96.5 1
96.0 10 2 7 1
95.5 4 1
95.0 11 2 9
94.5 3 1 5
94.0 2
93.5 4 5 7
93.0 1 1 1
92.5 10 3 3 1
92.0 2 1 5 1
91.5 8 1 3
91.0 4 2 4 3
90.5 6 2 3
90.0 5 2 3 2
89.5 1 4 3
89.0 15 3 6 1
88.5 2 2 5
88.0 6 6 1
87.5 8 2 4 3
87.0 3 5 1
86.5 5 4 9 3
86.0 2 1
85.5 7 1 9
85.0 3 4 5
84.5 8 1 5 1
84.0 4 4 9 3
83.5 3 1 4
83.0 20 5 5 1
82.5 1 1 2
82.0 7 4 10 2
81.5 5 7 6
81.0 5 1 10
80.5 10 3 9 4
80.0 4 2 1
79.5 11 2 9 4
79.0 3 1 1 1
78.5 9 3 8 1
78.0 9 3 3 3
77.5 6 1 1
77.0 12 6 9 5
76.5 3 2 2
76.0 6 1 7 2
75.5 5 1 3 4
75.0 8 2 1 2
74.5 7 3 7 4
74.0 6 2 2
73.5 8 1 12 3
73.0 1 1 3
72.5 12 3 6 3
72.0 6 1 6 5
71.5 7 4 7
71.0 8 3 2
70.5 3 1 1 2
70.0 7 3 9 1
69.5 3 1 5 1
69.0 9 2 3 7
68.5 8 6 3
68.0 5 2 4 3
67.5 6 2 6 2
67.0 4 1 3
66.5 8 1 7 3
66.0 11 8 2
65.5 2 2 2
65.0 7 5 2
64.5 1 2 2
64.0 10 6 1
63.5 3 2 3 2
63.0 6 1 9 1
62.5 3 3 5 4
62.0 1 1 5
61.5 3 4 3
61.0 1 5
60.5 3 3 3
60.0 2 1 5 2
59.5 2 5 3
59.0 5 1
58.5 1 2 3
58.0 6 1 1
57.5 1 2 3
57.0 1 1 3
56.5 3 2 1 4
56.0 1 3
55.5 3 4 2
55.0 2 2 2
54.5 3 2
54.0 3 2 4
53.5 1 3 2
53.0 1 1 2
52.5 2 1
52.0 2 1
51.5 2 1 2
51.0 2 1
50.5 1 2
50.0 2 1 3
49.5 1 3
49.0 1 2
48.5 2
48.0 4 3 3
47.5 2 1 1
47.0 1
46.5 1
46.0 2
45.5 2 3
45.0 1 2
44.5 1 1 1
43.5 1 2
43.0 2
42.5 1 2
42.0 4 1 1 4
41.5 1
41.0 1
40.5 2
40.0 1
39.5 1
39.0 1 1
38.0 1
37.5 1
36.5 1 3
36.0 3 3 1
35.5 1 2
34.0 1
32.0 1 1
30.0 1 1
25.5 1
24.5 1
24.0 1 1 1 1
22.0 1 1
American Mathematics Competitions
2005 AMC 10 A Results for New Hampshire
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 1 125.0 2 100.0
149.5 124.5 99.5 2 2
149.0 124.0 1 99.0 1
148.5 123.5 98.5 1 2
148.0 123.0 98.0 6
147.5 122.5 97.5 1
147.0 122.0 97.0 3 3
146.5 121.5 1 96.5 1
146.0 121.0 96.0 5 2
145.5 120.5 1 1 95.5
145.0 120.0 2 95.0 6 3
144.5 119.5 2 94.5 3 2
144.0 2 119.0 1 94.0
143.5 118.5 93.5 4 3
143.0 118.0 93.0 1
142.5 117.5 92.5 1 2
142.0 117.0 1 1 92.0 2 3
141.5 116.5 1 91.5 2 1
141.0 116.0 91.0 2 2
140.5 115.5 1 90.5 1 2
140.0 115.0 90.0 2
139.5 114.5 3 89.5 2 2
139.0 114.0 89.0 3 3
138.5 113.5 4 1 88.5 4 1
138.0 3 113.0 88.0 2 3
137.5 112.5 1 87.5 3 1
137.0 1 112.0 2 87.0 2 3
136.5 111.5 86.5 5 4
136.0 111.0 1 86.0 1
135.5 110.5 85.5 4 5
135.0 110.0 85.0 3 1
134.5 109.5 1 84.5 2 3
134.0 109.0 1 1 84.0 6 3
133.5 108.5 1 1 83.5 2 1
133.0 108.0 83.0 2 2
132.5 107.5 2 82.5 1
132.0 2 107.0 82.0 2 8
131.5 106.5 6 81.5 4 3
131.0 1 106.0 81.0 4 6
130.5 105.5 2 2 80.5 7 2
130.0 2 105.0 1 2 80.0 1
129.5 104.5 1 79.5 6 3
129.0 104.0 3 79.0 1
128.5 1 103.5 1 78.5 6 2
128.0 103.0 3 2 78.0 1 2
127.5 1 102.5 1 1 77.5 1
127.0 102.0 3 1 77.0 4 4
126.5 101.5 1 76.5 1 1
126.0 101.0 1 1 76.0 3 4
125.5 100.5 3 1 75.5 1 2
American Mathematics Competitions
2005 AMC 10 A Results for New Hampshire
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 3 3 49.5 24.5
74.0 1 1 49.0 24.0 1
73.5 4 7 48.5 2 23.5
73.0 2 1 48.0 2 1 23.0
72.5 3 3 47.5 1 22.5
72.0 6 47.0 22.0 1
71.5 2 2 46.5 21.5
71.0 1 2 46.0 2 21.0
70.5 1 45.5 20.5
70.0 3 6 45.0 1 20.0
69.5 3 2 44.5 19.5
69.0 3 44.0 19.0
68.5 3 3 43.5 18.5
68.0 1 3 43.0 18.0
67.5 3 3 42.5 2 17.5
67.0 1 42.0 1 17.0
66.5 6 1 41.5 16.5
66.0 5 2 41.0 1 16.0
65.5 2 40.5 15.5
65.0 1 4 40.0 15.0
64.5 2 39.5 14.5
64.0 1 5 39.0 1 14.0
63.5 1 2 38.5 13.5
63.0 4 5 38.0 13.0
62.5 5 37.5 12.5
62.0 4 1 37.0 12.0
61.5 1 3 36.5 11.5
61.0 1 4 36.0 11.0
60.5 2 1 35.5 1 10.5
60.0 4 1 35.0 10.0
59.5 2 3 34.5 9.5
59.0 34.0 9.0
58.5 2 33.5 8.5
58.0 1 33.0 8.0
57.5 2 32.5 7.5
57.0 2 1 32.0 1 7.0
56.5 1 31.5 6.5
56.0 31.0 6.0
55.5 1 3 30.5 5.5
55.0 2 30.0 5.0
54.5 3 29.5 4.5
54.0 2 29.0 4.0
53.5 2 1 28.5 3.5
53.0 1 28.0 3.0
52.5 2 27.5 2.5
52.0 27.0 2.0
51.5 1 26.5 1.5
51.0 26.0 1.0
50.5 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for New Hampshire
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 2
144.0 2
138.0 1 2
137.0 1
132.0 1 1
131.0 1
130.0 1 1
128.5 1
127.5 1
125.0 2
124.0 1
121.5 1
120.5 2
120.0 1 1
119.5 1 1
119.0 1
117.0 2
116.5 1
115.5 1
114.5 2 1
113.5 4 1
112.5 1
112.0 2
111.0 1
110.0 1
109.5 1
109.0 2
108.5 2
107.5 1 1
106.5 1 4 1
105.5 1 3
105.0 3
104.5 1
104.0 1 2
103.5 1
103.0 1 4
102.5 1 1
102.0 1 3
101.5 1
101.0 2
100.5 3 1
99.5 2 2
99.0 1
98.5 1 2
98.0 3 3
97.5 1
97.0 3 3
96.5 1
96.0 4 3
95.5 1
95.0 3 6
94.5 1 4
93.5 1 6
93.0 1
92.5 2 1
92.0 2 3
91.5 1 2
91.0 2 2
90.5 3
90.0 3
89.5 3 1
89.0 2 4
88.5 2 3
88.0 1 5
87.5 4
87.0 2 3
86.5 9
86.0 1
85.5 4 5
85.0 4
84.5 2 3
84.0 4 5
83.5 4
83.0 1 4
82.5 1
82.0 4 6
81.5 3 4
81.0 3 7
80.5 3 6
80.0 1
79.5 1 4 4
79.0 1
78.5 5 3
78.0 1 2
77.5 1
77.0 2 6 1
76.5 2
76.0 2 5
75.5 2 1
75.0 1
74.5 3 4
74.0 2
73.5 7 5
73.0 2 1
72.5 3 3
72.0 2 4
71.5 1 3
71.0 1 2
70.5 1
70.0 2 7
69.5 1 2 2
69.0 2 1
68.5 5 1
68.0 3 1
67.5 1 5
67.0 1
66.5 5 2
66.0 5 3
65.5 1 1
65.0 1 4
64.5 2
64.0 2 4
63.5 2 1
63.0 5 3 1
62.5 1 4
62.0 1 4
61.5 1 2 1
61.0 2 2 1
60.5 1 1 1
60.0 1 4
59.5 1 4
58.5 2
58.0 1
57.5 2
57.0 3
56.5 1
55.5 2 2
55.0 1 1
54.5 3
54.0 1 1
53.5 3
53.0 1
52.5 1 1
51.5 1
50.5 1 1
50.0 1
48.5 2
48.0 1 2
47.5 1
46.0 1 1
45.0 2
42.5 1 1
42.0 1
41.0 1
39.0 1
35.5 1
32.0 1
24.0 1
22.0 1
American Mathematics Competitions
2005 AMC 10 A Results for New Hampshire
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 0.10 0.08 0.15 9.21* 0.31 0.15 0.00
2 0.06 0.08 6.76* 0.04 1.22 1.85 0.00
3 0.04 9.07* 0.19 0.23 0.04 0.41 0.02
4 0.19 2.80* 1.47 0.27 0.33 4.94 0.00
5 6.81* 0.37 2.64 0.00 0.02 0.15 0.00
6 0.10 6.00* 2.59 0.12 0.08 1.12 0.00
7 0.37 4.25* 0.17 0.42 0.89 3.90 0.00
8 0.73 0.10 5.44* 0.06 0.08 3.59 0.00
9 0.95 6.31* 0.66 0.19 0.27 1.62 0.00
10 2.55* 0.29 0.95 0.19 0.08 5.95 0.00
11 0.60 2.90* 0.17 0.50 0.08 5.75 0.00
12 0.21 2.32* 0.41 0.15 0.54 6.37 0.00
13 1.25 0.21 0.19 0.33 1.45* 6.56 0.00
14 1.06 0.27 0.29 0.33 2.97* 5.08 0.00
15 0.41 0.62 0.62 1.25 0.95* 6.16 0.00
16 0.31 0.25 0.56 3.13* 0.06 5.69 0.00
17 0.10 0.23 0.44 2.53* 0.29 6.41 0.00
18 1.35* 2.47 1.00 2.90 0.14 2.14 0.00
19 0.21 0.75 0.54 3.88* 0.44 4.17 0.00
20 1.41* 0.17 0.37 0.33 0.23 7.49 0.00
21 1.41 0.95* 0.15 0.17 0.58 6.74 0.00
22 0.46 0.29 0.25 2.80* 0.46 5.73 0.00
23 0.21 0.39 1.43* 0.91 0.71 6.35 0.00
24 0.97 0.89* 0.17 0.14 0.10 7.74 0.00
25 0.25 0.62 0.54 1.02* 0.04 7.53 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2005 AMC 12 A Results for New Hampshire
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 2 4
149.0 124.0 99.0
148.5 123.5 98.5 1 2
148.0 123.0 1 98.0 2 1
147.5 122.5 97.5 2 3
147.0 122.0 97.0 3 1
146.5 121.5 2 96.5
146.0 121.0 96.0 5 5
145.5 120.5 2 95.5 4
145.0 120.0 1 95.0 5 5
144.5 119.5 1 94.5 2 1
144.0 1 119.0 1 94.0 1 1
143.5 118.5 93.5 2 2
143.0 118.0 93.0
142.5 117.5 92.5 4 4
142.0 117.0 1 2 92.0 2
141.5 116.5 1 91.5 6 2
141.0 116.0 91.0 4
140.5 1 115.5 90.5 4 1
140.0 115.0 90.0 4
139.5 1 114.5 3 1 89.5 1
139.0 114.0 89.0 7 7
138.5 113.5 88.5 2
138.0 2 113.0 88.0 4 2
137.5 112.5 2 87.5 5 3
137.0 2 112.0 87.0 3
136.5 111.5 1 1 86.5 3 1
136.0 111.0 86.0
135.5 110.5 85.5 4 3
135.0 110.0 1 2 85.0 2 1
134.5 109.5 84.5 4 3
134.0 109.0 1 2 84.0 1 3
133.5 108.5 83.5 3
133.0 108.0 4 2 83.0 11 8
132.5 2 107.5 82.5 1
132.0 107.0 82.0 3 4
131.5 106.5 2 81.5 2 3
131.0 106.0 81.0 4 1
130.5 105.5 5 80.5 6 4
130.0 1 105.0 80.0 3 1
129.5 104.5 4 2 79.5 5 6
129.0 104.0 1 2 79.0 1 2
128.5 103.5 78.5 5 3
128.0 103.0 2 3 78.0 6 2
127.5 102.5 77.5 3 3
127.0 102.0 4 1 77.0 6 6
126.5 101.5 76.5 1 2
126.0 1 101.0 7 3 76.0 3 2
125.5 2 100.5 75.5 2 3
American Mathematics Competitions
2005 AMC 12 A Results for New Hampshire
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 4 50.0 2 25.0
74.5 2 5 49.5 1 24.5
74.0 5 1 49.0 24.0 1
73.5 2 6 48.5 23.5
73.0 1 48.0 2 2 23.0
72.5 7 5 47.5 1 22.5
72.0 3 2 47.0 1 22.0
71.5 5 2 46.5 21.5
71.0 3 3 46.0 21.0
70.5 2 1 45.5 1 1 20.5
70.0 1 5 45.0 1 20.0
69.5 2 1 44.5 1 19.5
69.0 4 5 44.0 19.0
68.5 1 7 43.5 18.5
68.0 5 43.0 18.0
67.5 2 3 42.5 17.5
67.0 2 1 42.0 2 2 17.0
66.5 6 2 41.5 1 16.5
66.0 5 4 41.0 16.0
65.5 1 1 40.5 15.5
65.0 3 4 40.0 15.0
64.5 1 39.5 14.5
64.0 7 3 39.0 14.0
63.5 3 38.5 13.5
63.0 3 3 38.0 13.0
62.5 2 1 37.5 1 12.5
62.0 1 37.0 12.0
61.5 1 1 36.5 1 11.5
61.0 1 36.0 2 1 11.0
60.5 1 2 35.5 10.5
60.0 2 35.0 10.0
59.5 2 34.5 9.5
59.0 1 4 34.0 9.0
58.5 1 33.5 8.5
58.0 3 3 33.0 8.0
57.5 1 32.5 7.5
57.0 1 32.0 1 7.0
56.5 1 2 31.5 6.5
56.0 1 31.0 6.0
55.5 2 1 30.5 5.5
55.0 2 30.0 1 5.0
54.5 29.5 4.5
54.0 2 1 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 1 1 27.0 2.0
51.5 26.5 1.5
51.0 2 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for New Hampshire
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
144.0 1
140.5 1
139.5 1
138.0 2
137.0 1 1
132.5 1 1
130.0 1
126.0 1
125.5 1 1
125.0 1
123.0 1
121.5 1 1
120.5 2
120.0 1
119.5 1
119.0 1
117.0 1 2
116.5 1
114.5 1 3
113.5 1
112.5 2
111.5 1 1
110.0 1 1 1
109.0 3
108.0 1 5 1
106.5 2
105.5 2 4
104.5 3 3
104.0 2 1
103.0 4 1
102.0 1 3 1
101.0 6 4
99.5 3 3
98.5 3
98.0 2 2
97.5 1 4
97.0 2 2
96.0 6 4
95.5 1 1 2
95.0 3 8
94.5 2 1
94.0 1 1
93.5 1 3
92.5 3 7
92.0 1 1
91.5 1 4 3
91.0 4
90.5 1 4 1
90.0 1 2 2
89.5 1
89.0 1 10 3 1
88.5 2
88.0 5 1
87.5 6 2
87.0 2 1
86.5 1 4
85.5 5 2
85.0 2 1
84.5 1 4 3
84.0 3 1
83.5 3
83.0 11 9
82.5 1
82.0 4 3
81.5 4 1
81.0 2 1 2
80.5 1 5 4
80.0 1 3
79.5 7 4
79.0 2 1
78.5 1 6 2
78.0 4 5
77.5 1 2 3
77.0 6 6
76.5 1 1 1
76.0 4 2
75.5 2 3
75.0 1 6 1
74.5 4 3
74.0 5 1
73.5 1 5 2
73.0 1
72.5 1 7 4
72.0 1 4 1
71.5 1 4 2
71.0 1 5 2
70.5 2 1
70.0 4 3
69.5 3
69.0 5 4
68.5 2 3 3
68.0 5
67.5 1 5
67.0 2 2
66.5 1 4 3
66.0 1 8 1 1
65.5 1 1
65.0 1 3 3
64.5 1
64.0 5 5
63.5 2 1
63.0 5 1
62.5 2 1
62.0 1
61.5 2 1
61.0 1
60.5 2 1
60.0 2
59.5 2
59.0 3 2
58.5 1
58.0 2 3 1
57.5 1
57.0 1
56.5 1 2
56.0 1
55.5 1 1 1
55.0 1 1
54.0 3
53.5 1
53.0 1
52.0 2
51.0 2
50.5 1
50.0 2
49.5 1
48.0 1 3
47.5 2
47.0 1
45.5 2
45.0 1
44.5 1
42.0 2 2
41.5 1
37.5 1
36.5 1
36.0 1 1 1
32.0 1
30.0 1
24.0 1
American Mathematics Competitions
2005 AMC 12 A Results for New Hampshire
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 0.07 9.61* 0.22 0.03 0.00
2 0.02 9.40* 0.24 0.31 0.00 0.03 0.00
3 0.19 4.44* 1.14 0.39 0.58 3.27 0.00
4 7.57* 0.32 1.97 0.07 0.03 0.03 0.00
5 0.24 7.40* 1.56 0.07 0.05 0.68 0.00
6 0.56 5.22* 0.29 0.31 0.90 2.72 0.00
7 0.49 0.15 7.41* 0.10 0.10 1.73 0.00
8 0.68 0.34 0.36 2.36* 0.19 6.07 0.00
9 4.12* 0.34 0.94 0.34 0.14 4.13 0.00
10 0.32 3.44* 0.17 0.63 0.12 5.32 0.00
11 1.19 0.44 0.27 0.53 3.72* 3.84 0.00
12 0.99 0.12 0.17 3.66* 1.41 3.66 0.00
13 0.07 0.22 0.41 3.13* 0.32 5.85 0.00
14 0.36 0.39 3.40 1.45* 0.46 3.95 0.00
15 0.22 0.24 1.75* 0.83 0.77 6.19 0.00
16 0.27 0.39 0.73 0.85* 0.29 7.47 0.00
17 2.18* 0.71 1.50 0.34 0.37 4.88 0.02
18 0.53* 0.41 0.17 0.32 0.32 8.25 0.00
19 1.05 2.40* 0.68 0.53 0.70 4.64 0.00
20 0.36 0.19 0.26 0.03 0.34* 8.83 0.00
21 0.60 0.41 0.68* 0.12 0.12 8.08 0.00
22 0.37 0.88* 0.27 0.27 0.07 8.13 0.00
23 0.44 0.80* 0.22 0.27 0.60 7.67 0.00
24 0.12 0.15* 0.17 0.15 0.03 9.37 0.00
25 0.39 0.17 0.15* 0.10 0.14 9.05 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2005 AMC 10 B Results for New Hampshire
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0
149.5 124.5 99.5
149.0 124.0 99.0
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 1
146.5 121.5 96.5
146.0 121.0 96.0 1
145.5 120.5 1 95.5
145.0 120.0 95.0
144.5 119.5 94.5
144.0 3 119.0 94.0
143.5 118.5 93.5
143.0 118.0 1 93.0 1
142.5 117.5 92.5 1
142.0 117.0 92.0 1
141.5 116.5 91.5
141.0 116.0 1 91.0 2 1
140.5 115.5 90.5
140.0 115.0 90.0 2
139.5 114.5 89.5 2 1
139.0 114.0 89.0 1
138.5 113.5 88.5
138.0 1 113.0 1 88.0 1
137.5 112.5 87.5 2
137.0 112.0 87.0 1
136.5 111.5 86.5 1 2
136.0 111.0 1 86.0
135.5 110.5 85.5
135.0 110.0 1 85.0 1 4
134.5 109.5 84.5 1
134.0 109.0 84.0 2 1
133.5 108.5 83.5
133.0 108.0 83.0 1
132.5 107.5 2 82.5 2
132.0 107.0 82.0 1 1
131.5 106.5 1 81.5 2 4
131.0 106.0 81.0
130.5 105.5 80.5 3 1
130.0 105.0 80.0
129.5 104.5 79.5 3 1
129.0 104.0 79.0 1
128.5 1 103.5 78.5 1
128.0 103.0 1 78.0 2
127.5 102.5 77.5 1
127.0 102.0 77.0 2 3
126.5 101.5 1 76.5 1 1
126.0 101.0 76.0 2
125.5 100.5 2 75.5 1 2
American Mathematics Competitions
2005 AMC 10 B Results for New Hampshire
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 50.0 2 1 25.0
74.5 1 3 49.5 2 1 24.5
74.0 1 1 49.0 2 24.0 1
73.5 3 48.5 23.5
73.0 48.0 1 2 23.0
72.5 3 47.5 1 22.5
72.0 3 1 47.0 22.0 1
71.5 3 4 46.5 1 21.5
71.0 1 1 46.0 21.0
70.5 1 1 45.5 1 2 20.5
70.0 1 45.0 20.0
69.5 1 44.5 1 19.5
69.0 4 3 44.0 19.0
68.5 2 1 43.5 1 1 18.5
68.0 1 2 43.0 2 18.0
67.5 2 42.5 17.5
67.0 3 42.0 2 2 17.0
66.5 3 41.5 16.5
66.0 1 41.0 16.0
65.5 1 1 40.5 1 15.5
65.0 1 1 40.0 15.0
64.5 2 39.5 1 14.5
64.0 1 39.0 1 14.0
63.5 2 38.5 13.5
63.0 1 38.0 1 13.0
62.5 2 1 37.5 12.5
62.0 37.0 12.0
61.5 1 2 36.5 3 11.5
61.0 36.0 1 11.0
60.5 1 2 35.5 2 10.5
60.0 2 35.0 10.0
59.5 1 2 34.5 9.5
59.0 1 34.0 1 9.0
58.5 2 1 33.5 8.5
58.0 1 33.0 8.0
57.5 1 2 32.5 7.5
57.0 32.0 7.0
56.5 4 31.5 6.5
56.0 3 31.0 6.0
55.5 1 30.5 5.5
55.0 2 30.0 1 5.0
54.5 2 29.5 4.5
54.0 2 2 29.0 4.0
53.5 1 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 1 26.0 1.0
50.5 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for New Hampshire
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
144.0 2 1
138.0 1
128.5 1
120.5 1
118.0 1
116.0 1
113.0 1
111.0 1
110.0 1
107.5 2
106.5 1
103.0 1
101.5 1
100.5 2
97.0 2
96.0 1
93.0 1
92.5 1
92.0 1
91.0 1 2
90.0 1 1
89.5 2 1
89.0 1
88.0 1
87.5 1 2
87.0 1
86.5 2 1
85.0 1 4
84.5 1
84.0 1 2
83.0 1
82.5 1 1
82.0 2
81.5 3 3
80.5 1 3
79.5 1 3
79.0 1
78.5 1
78.0 2 1
77.5 1
77.0 1 4
76.5 2
76.0 1 1
75.5 1 3
75.0 2
74.5 2 2
74.0 1 1
73.5 2 1
72.5 3
72.0 4 1
71.5 7
71.0 1 1
70.5 2
70.0 1
69.5 1
69.0 7
68.5 3
68.0 3
67.5 2
67.0 3
66.5 2 1
66.0 1 1
65.5 1 1
65.0 2
64.5 1 1
64.0 1
63.5 1 1
63.0 1
62.5 1 3
61.5 1 2
60.5 3
60.0 2
59.5 3
59.0 1
58.5 3
58.0 1
57.5 2 1
56.5 3 1
56.0 1 2
55.5 2
55.0 1 1
54.5 2
54.0 3 1
53.5 2
53.0 2
52.5 1
52.0 1
51.5 2
51.0 1
50.0 3
49.5 3
49.0 2
48.0 3
47.5 1
46.5 1
45.5 3
44.5 1
43.5 2
43.0 1 1
42.0 4
40.5 1 1
40.0 1
39.5 1
39.0 1
38.0 1
36.5 1 2
36.0 1
35.5 1 1
34.0 1
30.0 1
25.5 1
24.0 1
22.0 1
American Mathematics Competitions
2005 AMC 10 B Results for New Hampshire
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 7.51* 0.45 0.69 0.29 0.94 0.12 0.00
2 0.24 0.78 0.24 6.94* 0.53 1.27 0.00
3 0.00 0.94 3.31 4.41* 0.65 0.69 0.00
4 1.92 0.08 0.65 3.27* 0.24 3.84 0.00
5 0.08 0.08 8.45* 0.24 0.82 0.33 0.00
6 0.16 7.39* 0.33 0.57 0.45 1.10 0.00
7 0.86 1.02* 0.49 1.27 0.90 5.47 0.00
8 5.06* 0.24 1.71 0.16 0.16 2.65 0.00
9 0.90 0.20 3.02 4.04* 0.86 0.98 0.00
10 1.51* 0.73 0.78 0.69 0.61 5.63 0.04
11 0.41 0.90 0.16 2.29 1.80* 4.45 0.00
12 0.53 2.41 0.45 0.41 0.65* 5.51 0.04
13 0.90 0.82 2.00* 1.51 0.49 4.29 0.00
14 0.57 0.24 1.63* 2.49 0.53 4.49 0.04
15 1.96 0.90 0.94 4.04* 0.65 1.51 0.00
16 0.78 1.18 0.49 0.73* 0.04 6.78 0.00
17 0.73 2.16* 1.39 0.69 0.41 4.61 0.00
18 0.49 5.10 0.90 1.92* 0.57 1.02 0.00
19 0.45 4.29* 0.69 0.90 0.86 2.82 0.00
20 1.18 0.12 1.43* 0.57 0.20 6.45 0.04
21 0.57* 0.41 0.49 0.41 0.12 8.00 0.00
22 0.98 1.22 0.73* 0.37 0.20 6.49 0.00
23 2.65 1.22 0.49* 0.37 0.24 5.02 0.00
24 0.37 0.57 0.08 0.49 1.14* 7.35 0.00
25 0.24 0.33 3.67* 0.29 0.61 4.86 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2005 AMC 12 B Results for New Hampshire
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 1
149.0 124.0 1 2 99.0
148.5 123.5 98.5 2
148.0 123.0 98.0 1
147.5 122.5 97.5 1 1
147.0 122.0 97.0
146.5 121.5 1 1 96.5
146.0 121.0 96.0 1 1
145.5 120.5 95.5
145.0 120.0 95.0 2
144.5 119.5 94.5 1
144.0 119.0 94.0
143.5 118.5 1 93.5 4 1
143.0 118.0 1 93.0 1
142.5 117.5 92.5 2 1
142.0 117.0 92.0 1
141.5 116.5 91.5 1
141.0 116.0 1 91.0 1 1
140.5 115.5 2 90.5 1 1
140.0 115.0 90.0 2
139.5 114.5 2 89.5
139.0 114.0 89.0 1 2
138.5 113.5 1 88.5 1
138.0 2 113.0 88.0
137.5 112.5 87.5 2
137.0 112.0 87.0
136.5 111.5 1 86.5 4
136.0 1 111.0 2 86.0 1 1
135.5 110.5 85.5 1
135.0 110.0 2 85.0
134.5 109.5 84.5 1
134.0 109.0 3 84.0 3 1
133.5 108.5 83.5 1
133.0 108.0 1 1 83.0 1 4
132.5 1 107.5 1 82.5
132.0 107.0 1 82.0 2 2
131.5 106.5 1 81.5
131.0 106.0 81.0 1
130.5 105.5 80.5 2 1
130.0 1 105.0 80.0 2
129.5 104.5 1 79.5 2
129.0 104.0 79.0 1
128.5 103.5 78.5 2 1
128.0 103.0 78.0 2 1
127.5 1 102.5 1 1 77.5
127.0 102.0 2 77.0 3 3
126.5 101.5 76.5
126.0 1 101.0 76.0 1
125.5 100.5 1 75.5 1
American Mathematics Competitions
2005 AMC 12 B Results for New Hampshire
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 1 50.0 25.0
74.5 3 49.5 24.5
74.0 49.0 1 24.0 1
73.5 1 48.5 23.5
73.0 1 48.0 23.0
72.5 2 1 47.5 22.5
72.0 1 47.0 22.0
71.5 46.5 21.5
71.0 46.0 21.0
70.5 1 45.5 20.5
70.0 2 45.0 20.0
69.5 1 44.5 1 19.5
69.0 1 1 44.0 19.0
68.5 43.5 1 18.5
68.0 1 1 43.0 18.0
67.5 2 42.5 1 17.5
67.0 42.0 1 17.0
66.5 1 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 1 1 38.5 13.5
63.0 1 38.0 13.0
62.5 2 37.5 12.5
62.0 1 37.0 12.0
61.5 36.5 11.5
61.0 36.0 2 1 11.0
60.5 35.5 10.5
60.0 1 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 1 32.0 7.0
56.5 1 1 31.5 6.5
56.0 31.0 6.0
55.5 30.5 5.5
55.0 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 2 26.5 1.5
51.0 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for New Hampshire
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
138.0 1 1
136.0 1
132.5 1
130.0 1
127.5 1
126.0 1
124.0 3
121.5 1 1
118.5 1
118.0 1 1
116.0 1
115.5 2
114.5 1 1
113.5 1
111.5 1
111.0 1 1
110.0 1 1
109.0 1 2
108.0 2
107.5 1
107.0 1
106.5 1
104.5 1
102.5 1 1
102.0 1 1
100.5 1
99.5 1 1
98.5 1 1
98.0 1
97.5 2
96.0 1 1
95.0 1 1
94.5 1
93.5 1 4
93.0 1
92.5 3
92.0 1
91.5 1
91.0 2
90.5 1 1
90.0 1 1
89.0 2 1
88.5 1 1
87.5 1 1
86.5 1 3
86.0 1 1
85.5 1
84.5 1
84.0 4
83.5 1
83.0 1 4
82.0 2 2
81.0 1
80.5 1 2
80.0 1 1
79.5 2
79.0 1
78.5 2 1
78.0 2 1
77.0 2 4
76.0 1
75.5 1
75.0 2
74.5 1 2
73.5 1
73.0 1
72.5 2 1
72.0 1
70.5 1
70.0 2 1
69.5 1
69.0 2
68.0 2
67.5 2
66.5 1
63.5 1 1
63.0 1
62.5 1 1 1
62.0 1
60.0 1
57.0 1
56.5 1 1
51.5 2
49.0 1
44.5 1
43.5 1
42.5 1
42.0 1
36.0 3
24.5 1
24.0 1
American Mathematics Competitions
2005 AMC 12 B Results for New Hampshire
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 8.98* 0.12 0.54 0.06 0.18 0.12 0.00
2 0.18 0.12 0.06 9.16* 0.12 0.36 0.00
3 0.18 0.00 9.16* 0.06 0.30 0.30 0.00
4 0.30 8.80* 0.18 0.24 0.06 0.42 0.00
5 8.20* 0.12 0.48 0.00 0.06 1.14 0.00
6 4.19* 0.60 0.54 0.54 0.18 3.95 0.00
7 0.90 1.26 0.24 3.23* 0.66 3.71 0.00
8 0.90 1.32 4.91* 0.00 1.14 1.74 0.00
9 0.54 7.49* 0.36 0.48 0.18 0.96 0.00
10 0.24 0.96 0.18 1.98 4.31* 2.34 0.00
11 1.08 0.90 1.02 4.85* 0.42 1.74 0.00
12 0.42 1.08 0.96 1.68* 0.18 5.69 0.00
13 0.60 0.12 0.12 2.93* 0.18 6.05 0.00
14 1.08 0.54 0.48 0.36 2.16* 5.39 0.00
15 0.36 0.42 0.48 5.33* 0.54 2.87 0.00
16 0.36 0.06 1.20 1.44* 0.54 6.41 0.00
17 0.66 1.32* 0.24 0.06 1.02 6.71 0.00
18 1.26 0.66 1.32* 0.54 0.30 5.93 0.00
19 0.36 0.30 0.42 0.12 2.93* 5.87 0.00
20 0.18 0.48 4.37* 0.96 1.50 2.51 0.00
21 0.12 0.18 1.50* 0.54 0.18 7.49 0.00
22 0.48 0.48 0.36 0.30 0.30* 8.08 0.00
23 0.24 0.84* 0.36 0.12 0.06 8.38 0.00
24 0.54* 0.18 0.36 0.60 0.12 8.20 0.00
25 0.18* 0.60 0.18 0.18 0.42 8.44 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column