American Mathematics Competitions
2005 AMC 10 A Results for North Dakota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 903
Number of unofficial participants: 0
Average score of participants: 65.8
Average score for female students is: 64.9 ( 466 Students)
Average score for male students is: 66.8 ( 405 Students)
Average score for unspecified gender is 65.6 ( 32 Students)
Average score for grade 10 is: 67.0 ( 563 Students)
Average score for grade 9 is: 63.6 ( 322 Students)
Average score for grade 8 and below is: 67.6 ( 4 Students)
Average score with unknown grade: 68.2 ( 14 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 31
Average school winning score 85.58
American Mathematics Competitions
2005 AMC 12 A Results for North Dakota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 992
Number of unofficial participants: 0
Average score of participants: 69.1
Average score for female students is: 67.0 ( 451 Students)
Average score for male students is: 70.9 ( 526 Students)
Average score for unspecified gender is 70.1 ( 15 Students)
Average score for grade 12 is: 71.3 ( 427 Students)
Average score for grade 11 is: 66.9 ( 515 Students)
Average score for grade 10 is: 73.5 ( 35 Students)
Average score for grade 9 is: 75.9 ( 9 Students)
Average score for grade 8 and below is: 68.0 ( 3 Students)
Average score with unknown grade: 68.3 ( 3 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 15
Number of schools returning results 36
Average school winning score 92.65
Average school team score 262.69
American Mathematics Competitions
2005 AMC 10 B Results for North Dakota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 220
Number of unofficial participants: 0
Average score of participants: 69.5
Average score for female students is: 68.7 ( 107 Students)
Average score for male students is: 70.2 ( 107 Students)
Average score for unspecified gender is 68.8 ( 6 Students)
Average score for grade 10 is: 72.2 ( 159 Students)
Average score for grade 9 is: 62.6 ( 59 Students)
Average score with unknown grade: 57.0 ( 2 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 1
Number of schools returning results 14
Average school winning score 92.32
American Mathematics Competitions
2005 AMC 12 B Results for North Dakota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 675
Number of unofficial participants: 0
Average score of participants: 76.3
Average score for female students is: 74.0 ( 356 Students)
Average score for male students is: 78.9 ( 313 Students)
Average score for unspecified gender is 76.8 ( 6 Students)
Average score for grade 13 is: 76.0 ( 1 Student)
Average score for grade 12 is: 78.7 ( 248 Students)
Average score for grade 11 is: 76.6 ( 300 Students)
Average score for grade 10 is: 71.0 ( 95 Students)
Average score for grade 9 is: 69.6 ( 27 Students)
Average score with unknown grade: 85.8 ( 4 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 15
Number of schools returning results 18
Average school winning score 95.31
Average school team score 274.64
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
342.0 1 1
319.5 1 2
316.5 1 3
314.0 1 4
310.5 1 5
307.0 1 6
303.0 1 7
301.5 1 8
300.0 1 9
299.0 1 10
298.0 1 11
297.5 2 12
296.5 1 14
280.5 1 1 15
277.5 1 17
276.5 1 18
274.0 1 19
273.0 1 20
271.5 1 21
270.0 1 22
269.5 1 1 23
269.0 1 25
268.5 1 26
266.5 1 27
265.5 1 28
264.0 1 29
263.5 1 30
263.0 1 1 31
261.5 1 33
255.0 2 34
253.5 2 36
252.5 1 38
251.5 1 39
250.0 1 40
249.5 1 41
245.5 1 42
244.5 1 43
242.0 1 44
239.0 1 45
238.5 1 46
232.5 1 47
229.0 1 48
226.5 1 49
226.0 1 50
225.5 1 51
208.5 2 52
184.5 1 54
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
146.5 1
120.5 2
117.0 1
110.0 1
109.0 1 1 1
108.0 1 1
106.5 1
105.5 3 4 1 1
104.5 3
104.0 1
103.0 1 1 1
102.0 1 5 1
101.0 2 2
100.5 2 1
99.5 2 2
99.0 1
98.5 3 9 3 3
98.0 2
97.5 1 2 1
97.0 3
96.5 1
96.0 3 8 2
95.5 1 1
95.0 9 11 2 1
94.5 1 1
94.0 6 5 1
93.5 2 3 2
92.5 3 16 2 3
92.0 1 3
91.5 6 10 5 1
91.0 6 1
90.5 12 6 3
90.0 4 8 4 1
89.5 1
89.0 12 16 4 4
88.5 2 2 3 2
88.0 10 6 3 2
87.5 4 1 2 1
87.0 11 9 6 1
86.5 5 10 4 4
86.0 1 2 1
85.5 11 23 1 1
85.0 3 2 2
84.5 12 12 13 1
84.0 1 4 2 5
83.5 20 12 3 1
83.0 13 27 8 6
82.5 2 1 1
82.0 11 10 14 5
81.5 1 4 1
81.0 20 9 7 2
80.5 7 13 5 5
80.0 15 6 11
79.5 6 17 14 3
79.0 4 2
78.5 21 18 22 4
78.0 2 8 8 4
77.5 14 10 19 1
77.0 11 14 9 3
76.5 14 7 4
76.0 16 12 13 4
75.5 3 7 3 1
75.0 31 8 24 1
74.5 7 11 7 2
74.0 17 11 10 1
73.5 11 10 22 3
73.0 6 5 8
72.5 15 17 18
72.0 5 9 4 2
71.5 34 7 26 6
71.0 19 11 13 3
70.5 17 6 16 2
70.0 12 14 16 7
69.5 3 5 5 1
69.0 25 6 22 3
68.5 4 5 9 3
68.0 26 10 18
67.5 15 7 19 4
67.0 11 4 14 3
66.5 16 8 22 3
66.0 11 6 4 2
65.5 16 7 19 1
65.0 18 8 9 2
64.5 13 8 8 4
64.0 24 6 23 2
63.5 5 7 5 2
63.0 21 4 18 2
62.5 5 4 8 2
62.0 11 4 13
61.5 17 3 14 5
61.0 5 4 7 1
60.5 21 4 15 3
60.0 9 7 5 2
59.5 13 5 19 3
59.0 9 3 5 2
58.5 7 2 14 2
58.0 6 4 9 2
57.5 5 2 3 1
57.0 10 4 13 2
56.5 5 3 10 1
56.0 11 3 8 5
55.5 5 2 11 1
55.0 4 2 4 2
54.5 6 5 12 2
54.0 7 3 10 2
53.5 8 3 7 3
53.0 11 1 6 4
52.5 2 2 5 2
52.0 7 1 10 1
51.5 3 3 4 1
51.0 7 1 6 2
50.5 4 3 4 2
50.0 4 3 6
49.5 3 2
49.0 1 1 4 1
48.5 6 4 6
48.0 6 2 4 3
47.5 5 2
47.0 1 3 2 1
46.5 5
46.0 1 3 2
45.5 1 1 1
45.0 2 5 2
44.5 4 1 1
44.0 2 2
43.5 2 1 1
43.0 5 1 2 1
42.5 2 8 2
42.0 5 3 7 3
41.5 2
41.0 5 2
40.5 4 1
40.0 1 1
39.5 1 2 1
39.0 2 2
38.5 3 1 2
38.0 2 2 2
37.5 1
37.0 1 1 2
36.5 3
36.0 1 7 1
35.5 2
35.0 1 1
34.5 1 2 1
34.0 1 1
33.5 1 1
33.0 1
32.5 2 3
32.0 2
31.5 3 2
30.5 1 2
30.0 1 2
29.5 1 2
27.0 1
26.5 1 2
25.5 1
24.5 1
24.0 3 2
23.5 1
21.0 1 2
12.0 1 1
6.0 1
American Mathematics Competitions
2005 AMC 10 A Results for North Dakota
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
149.0 124.0 99.0
148.5 123.5 98.5 2 1
148.0 123.0 98.0
147.5 122.5 97.5
147.0 122.0 97.0
146.5 121.5 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 1
143.5 118.5 93.5
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 4 1
141.0 116.0 91.0
140.5 115.5 90.5 1 1
140.0 115.0 90.0 4
139.5 114.5 89.5
139.0 114.0 89.0 1 3
138.5 113.5 88.5 3
138.0 113.0 88.0 2 1
137.5 112.5 87.5 1 1
137.0 112.0 87.0 4 2
136.5 111.5 86.5 3 1
136.0 111.0 86.0
135.5 110.5 85.5 1
135.0 110.0 1 85.0 1 1
134.5 109.5 84.5 8 5
134.0 109.0 1 84.0 1 1
133.5 108.5 83.5 1 2
133.0 108.0 1 83.0 4 3
132.5 107.5 82.5 1
132.0 107.0 82.0 6 7
131.5 106.5 81.5 1
131.0 106.0 81.0 3 3
130.5 105.5 1 80.5 3 2
130.0 105.0 80.0 5 6
129.5 104.5 79.5 8 6
129.0 104.0 79.0
128.5 103.5 78.5 12 9
128.0 103.0 78.0 4 4
127.5 102.5 77.5 10 9
127.0 102.0 1 77.0 2 6
126.5 101.5 76.5 2 2
126.0 101.0 76.0 5 8
125.5 100.5 75.5 2 1
American Mathematics Competitions
2005 AMC 10 A Results for North Dakota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 7 16 50.0 2 3 25.0
74.5 3 3 49.5 1 1 24.5
74.0 1 8 49.0 2 2 24.0 1 1
73.5 12 10 48.5 3 3 23.5
73.0 4 3 48.0 3 1 23.0
72.5 9 8 47.5 2 22.5
72.0 3 1 47.0 1 1 22.0
71.5 11 15 46.5 21.5
71.0 3 9 46.0 1 2 21.0 1 1
70.5 6 9 45.5 1 20.5
70.0 4 12 45.0 2 3 20.0
69.5 5 44.5 1 19.5
69.0 9 12 44.0 1 1 19.0
68.5 5 3 43.5 1 18.5
68.0 8 10 43.0 1 1 18.0
67.5 9 9 42.5 8 17.5
67.0 5 9 42.0 4 3 17.0
66.5 12 8 41.5 2 16.5
66.0 3 1 41.0 2 16.0
65.5 6 13 40.5 2 2 15.5
65.0 6 3 40.0 1 15.0
64.5 7 39.5 1 1 14.5
64.0 11 12 39.0 1 1 14.0
63.5 3 2 38.5 1 1 13.5
63.0 8 10 38.0 1 1 13.0
62.5 6 1 37.5 1 12.5
62.0 4 9 37.0 1 12.0 1
61.5 8 5 36.5 1 2 11.5
61.0 2 5 36.0 2 4 11.0
60.5 8 7 35.5 2 10.5
60.0 3 2 35.0 1 10.0
59.5 5 14 34.5 2 9.5
59.0 3 2 34.0 1 9.0
58.5 3 10 33.5 1 8.5
58.0 5 4 33.0 8.0
57.5 1 2 32.5 2 1 7.5
57.0 3 9 32.0 7.0
56.5 3 7 31.5 2 6.5
56.0 3 5 31.0 6.0
55.5 4 6 30.5 1 1 5.5
55.0 3 30.0 1 1 5.0
54.5 5 7 29.5 2 4.5
54.0 6 4 29.0 4.0
53.5 5 1 28.5 3.5
53.0 2 3 28.0 3.0
52.5 1 4 27.5 2.5
52.0 6 4 27.0 2.0
51.5 1 3 26.5 1 1.5
51.0 5 1 26.0 1.0
50.5 3 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for North Dakota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
110.0 1
109.0 1
108.0 1
105.5 1
102.0 1
98.5 3
96.0 2
95.0 2
94.5 1
94.0 1
92.5 1 1
91.5 5
90.5 2 1
90.0 4
89.5 1
89.0 4
88.5 1 2
88.0 3
87.5 2
87.0 1 3 2
86.5 2 2
85.5 1
85.0 2
84.5 5 8
84.0 2
83.5 3
83.0 4 3 1
82.5 1
82.0 3 10 1
81.5 1
81.0 4 3
80.5 5
80.0 5 6
79.5 1 5 8
78.5 6 16
78.0 3 5
77.5 8 11
77.0 3 5 1
76.5 2 2
76.0 4 9
75.5 3
75.0 12 12
74.5 1 6
74.0 5 5
73.5 8 14
73.0 2 5 1
72.5 5 13
72.0 1 3
71.5 1 10 15
71.0 4 9
70.5 6 9 1
70.0 5 11
69.5 3 2
69.0 4 18
68.5 6 3
68.0 8 10
67.5 8 11
67.0 5 9
66.5 9 12 1
66.0 4
65.5 9 10
65.0 3 6
64.5 1 6 1
64.0 8 15
63.5 1 4
63.0 4 14
62.5 4 4
62.0 5 8
61.5 7 7
61.0 1 6
60.5 5 10
60.0 2 3
59.5 8 11
59.0 5
58.5 4 9 1
58.0 4 5
57.5 3
57.0 7 5 1
56.5 1 9
56.0 4 4
55.5 3 8
55.0 4
54.5 8 4
54.0 5 5
53.5 2 4 1
53.0 4 2
52.5 4 1
52.0 5 5
51.5 2 2
51.0 4 2
50.5 1 3
50.0 4 2
49.5 2
49.0 1 3
48.5 3 3
48.0 2 2
47.5 1 1
47.0 2
46.0 1 2
45.5 1
45.0 2 3
44.5 1
44.0 1 1
43.5 1
43.0 2
42.5 3 5
42.0 3 4
41.5 2
41.0 1 1
40.5 1 3
40.0 1
39.5 2
39.0 2
38.5 1 1
38.0 2
37.5 1
37.0 1 1
36.5 1 2
36.0 2 5
35.5 1 1
35.0 1
34.5 2
34.0 1
33.5 1
32.5 1 1 1
31.5 1 1
30.5 2
30.0 1 1
29.5 1 1
26.5 2
24.0 1 1
21.0 2
12.0 1
American Mathematics Competitions
2005 AMC 10 A Results for North Dakota
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 0.48 0.20 0.44 7.80* 0.38 0.71 0.00
2 0.13 0.09 2.58* 0.11 1.68 5.40 0.00
3 0.09 8.22* 0.50 0.42 0.22 0.55 0.00
4 0.33 0.49* 1.82 0.58 0.42 6.37 0.00
5 4.32* 0.41 4.94 0.11 0.04 0.18 0.00
6 0.22 3.64* 3.39 0.14 0.10 2.50 0.00
7 0.70 2.38* 0.32 0.45 0.80 5.35 0.00
8 1.12 0.28 1.83* 0.16 0.10 6.52 0.00
9 1.04 4.92* 1.04 0.24 0.20 2.56 0.00
10 0.47* 0.21 0.60 0.30 0.12 8.29 0.01
11 0.48 1.10* 0.14 0.59 0.04 7.65 0.00
12 0.20 0.21* 0.37 0.17 0.23 8.82 0.01
13 0.85 0.62 0.33 0.31 0.39* 7.50 0.00
14 0.55 0.38 0.32 0.40 1.47* 6.88 0.00
15 0.48 0.37 0.72 0.59 0.39* 7.46 0.00
16 0.68 0.55 0.52 1.09* 0.14 7.02 0.00
17 0.28 0.35 0.33 0.90* 0.53 7.60 0.01
18 1.64* 1.41 1.17 2.50 0.37 2.90 0.01
19 0.48 0.60 0.68 1.67* 0.79 5.79 0.00
20 0.17* 0.28 0.47 0.39 0.25 8.45 0.00
21 1.42 0.47* 0.31 0.33 0.59 6.89 0.00
22 0.51 0.47 0.29 1.20* 0.34 7.19 0.01
23 0.21 0.41 0.71* 0.96 0.63 7.08 0.00
24 0.49 0.39* 0.37 0.19 0.13 8.44 0.00
25 0.38 0.49 0.76 0.55* 0.22 7.60 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2005 AMC 12 A Results for North Dakota
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 2
147.5 122.5 97.5 1
147.0 122.0 97.0
146.5 121.5 96.5
146.0 121.0 96.0 2 1
145.5 120.5 1 95.5
145.0 120.0 95.0 6 3
144.5 119.5 94.5 1
144.0 119.0 94.0 5 1
143.5 118.5 93.5 2
143.0 118.0 93.0
142.5 117.5 92.5 2 1
142.0 117.0 1 92.0 1
141.5 116.5 91.5 3 3
141.0 116.0 91.0
140.5 115.5 90.5 6 6
140.0 115.0 90.0 3 1
139.5 114.5 89.5
139.0 114.0 89.0 4 8
138.5 113.5 88.5 1 1
138.0 113.0 88.0 7 3
137.5 112.5 87.5 2 2
137.0 112.0 87.0 9 2
136.5 111.5 86.5 4 1
136.0 111.0 86.0 1
135.5 110.5 85.5 5 6
135.0 110.0 85.0 3
134.5 109.5 84.5 7 5
134.0 109.0 1 84.0 1
133.5 108.5 83.5 10 9
133.0 108.0 1 83.0 11 2
132.5 107.5 82.5 2
132.0 107.0 82.0 6 5
131.5 106.5 81.5 1
131.0 106.0 81.0 14 6
130.5 105.5 3 80.5 4 3
130.0 105.0 80.0 5 10
129.5 104.5 2 1 79.5 2 4
129.0 104.0 79.0
128.5 103.5 78.5 13 8
128.0 103.0 1 78.0 1 1
127.5 102.5 77.5 10 4
127.0 102.0 1 77.0 6 4
126.5 101.5 76.5 7 7
126.0 101.0 2 76.0 9 6
125.5 100.5 75.5 1 2
American Mathematics Competitions
2005 AMC 12 A Results for North Dakota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 17 14 50.0 1 3 25.0
74.5 4 3 49.5 1 2 24.5 1
74.0 7 10 49.0 1 24.0 2 1
73.5 8 2 48.5 3 3 23.5 1
73.0 4 2 48.0 2 4 23.0
72.5 12 3 47.5 2 3 22.5
72.0 3 2 47.0 22.0
71.5 15 18 46.5 4 1 21.5
71.0 12 6 46.0 1 21.0 1
70.5 10 7 45.5 1 20.5
70.0 4 8 45.0 20.0
69.5 2 1 44.5 3 1 19.5
69.0 14 11 44.0 1 1 19.0
68.5 2 1 43.5 2 18.5
68.0 15 11 43.0 2 3 18.0
67.5 4 11 42.5 2 17.5
67.0 3 8 42.0 3 2 17.0
66.5 7 9 41.5 16.5
66.0 7 4 41.0 3 2 16.0
65.5 4 12 40.5 15.5
65.0 8 10 40.0 1 15.0
64.5 7 6 39.5 1 14.5
64.0 12 11 39.0 1 1 14.0
63.5 3 2 38.5 2 1 13.5
63.0 8 13 38.0 1 1 13.0
62.5 2 3 37.5 12.5
62.0 6 5 37.0 1 12.0 1
61.5 8 9 36.5 11.5
61.0 1 4 36.0 1 11.0
60.5 8 13 35.5 10.5
60.0 6 3 35.0 1 10.0
59.5 7 5 34.5 1 9.5
59.0 8 1 34.0 1 9.0
58.5 7 33.5 8.5
58.0 2 4 33.0 1 8.0
57.5 2 2 32.5 1 1 7.5
57.0 7 3 32.0 2 7.0
56.5 3 2 31.5 2 1 6.5
56.0 6 5 31.0 6.0 1
55.5 1 4 30.5 1 5.5
55.0 3 1 30.0 5.0
54.5 4 2 29.5 1 4.5
54.0 3 4 29.0 4.0
53.5 3 4 28.5 3.5
53.0 5 6 28.0 3.0
52.5 1 1 27.5 2.5
52.0 2 5 27.0 2.0
51.5 3 26.5 1 1.5
51.0 6 1 26.0 1.0
50.5 2 2 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for North Dakota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
120.5 1 1
117.0 1
109.0 1
108.0 1
105.5 1 1 1
104.5 3
103.0 1
102.0 1
101.0 1 1
99.5 2
99.0 1
98.5 1 2
98.0 1 1
97.5 1
96.0 1 2
95.0 1 4 4
94.5 1
94.0 1 4 1
93.5 1 1
92.5 1 2
92.0 1
91.5 3 3
90.5 1 5 6
90.0 3 1
89.0 7 5
88.5 2
88.0 5 5
87.5 2 2
87.0 1 6 4
86.5 3 2
86.0 1
85.5 2 9
85.0 2 1
84.5 3 9
84.0 1
83.5 1 2 8 9
83.0 6 7
82.5 2
82.0 6 5
81.5 1
81.0 1 13 6
80.5 5 2
80.0 1 5 9
79.5 4 2
78.5 11 10
78.0 2
77.5 4 10
77.0 1 4 6
76.5 2 5 7
76.0 1 8 7
75.5 2 1
75.0 2 8 21
74.5 4 3
74.0 1 9 6 1
73.5 1 7 2 1
73.0 2 3 1
72.5 5 10
72.0 3 2
71.5 2 19 13
71.0 10 9
70.5 1 10 6
70.0 1 3 8
69.5 3
69.0 14 11
68.5 3 1
68.0 2 15 9
67.5 1 8 6
67.0 2 4 5
66.5 2 8 6
66.0 1 4 6
65.5 1 8 7
65.0 10 8
64.5 10 3
64.0 15 9
63.5 3 2
63.0 1 13 7
62.5 2 3
62.0 3 8
61.5 10 7
61.0 3 2
60.5 11 10
60.0 7 2
59.5 1 10 2
59.0 3 6
58.5 5 2
58.0 1 5
57.5 3 1 1
57.0 6 4
56.5 3 2
56.0 1 6 4
55.5 5
55.0 2 2
54.5 4 2
54.0 6 1
53.5 5 3
53.0 1 6 4
52.5 2
52.0 1 5 1
51.5 2 1
51.0 3 4
50.5 1 3
50.0 1 3
49.5 1 2
49.0 1
48.5 4 2
48.0 5 1
47.5 3 2
47.0 1
46.5 1 2 2
46.0 1
45.5 1
44.5 2 2
44.0 1 1
43.5 2
43.0 2 3
42.5 2
42.0 3 2
41.0 1 4
40.0 1
39.5 1
39.0 1 1
38.5 1 2
38.0 2
37.0 1
36.0 1
35.0 1
34.5 1
34.0 1
33.0 1
32.5 2
32.0 1 1
31.5 2 1
30.5 1
30.0 1
29.5 1
26.5 1
25.5 1
24.5 1
24.0 2 1
23.5 1
21.0 1
12.0 1
6.0 1
American Mathematics Competitions
2005 AMC 12 A Results for North Dakota
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 0.13 0.18 0.24 8.50* 0.19 0.75 0.01
2 0.03 8.74* 0.40 0.36 0.12 0.33 0.01
3 0.29 1.73* 1.50 0.55 0.43 5.48 0.00
4 5.47* 0.38 3.79 0.05 0.04 0.26 0.00
5 0.36 4.48* 2.84 0.07 0.08 2.17 0.00
6 0.61 3.29* 0.28 0.31 0.81 4.70 0.00
7 0.97 0.30 4.17* 0.16 0.07 4.32 0.00
8 0.21 0.50 0.30 0.91* 0.41 7.66 0.00
9 1.30* 0.33 0.82 0.22 0.08 7.24 0.01
10 0.44 1.46* 0.16 0.60 0.17 7.16 0.00
11 0.90 0.41 0.34 0.36 2.16* 5.83 0.00
12 0.80 0.32 0.18 1.92* 1.02 5.75 0.02
13 0.25 0.31 0.38 1.69* 0.36 7.00 0.00
14 0.46 0.47 2.84 0.49* 0.37 5.35 0.00
15 0.16 0.41 0.98* 0.68 0.66 7.12 0.00
16 0.20 0.27 0.52 0.39* 0.33 8.28 0.00
17 0.90* 1.19 0.82 0.36 0.42 6.31 0.00
18 0.25* 0.37 0.21 0.30 0.19 8.67 0.00
19 0.82 1.45* 0.96 0.66 1.20 4.92 0.00
20 0.23 0.21 0.10 0.08 0.22* 9.15 0.00
21 0.35 0.26 0.34* 0.28 0.07 8.69 0.00
22 0.39 0.34* 0.20 0.23 0.26 8.57 0.00
23 0.55 0.21* 0.14 0.23 0.31 8.55 0.00
24 0.18 0.11* 0.18 0.24 0.03 9.25 0.00
25 0.32 0.27 0.22* 0.19 0.14 8.85 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 10 B Results for North Dakota
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
149.0 124.0 99.0
148.5 123.5 98.5 3
148.0 123.0 98.0
147.5 122.5 97.5 1
147.0 122.0 97.0
146.5 1 121.5 96.5
146.0 121.0 96.0
145.5 120.5 95.5 1
145.0 120.0 95.0 1
144.5 119.5 94.5
144.0 119.0 94.0
143.5 118.5 93.5 1 1
143.0 118.0 93.0
142.5 117.5 92.5 1 2
142.0 117.0 92.0
141.5 116.5 91.5 1
141.0 116.0 91.0 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 3
138.5 113.5 88.5 1
138.0 113.0 88.0 1 1
137.5 112.5 87.5 1
137.0 112.0 87.0 1
136.5 111.5 86.5 3 1
136.0 111.0 86.0 1
135.5 110.5 85.5 1
135.0 110.0 85.0
134.5 109.5 84.5 1
134.0 109.0 84.0 2 3
133.5 108.5 83.5 1
133.0 108.0 83.0 6
132.5 107.5 82.5
132.0 107.0 82.0 4 1
131.5 106.5 1 81.5
131.0 106.0 81.0 2
130.5 105.5 1 80.5 2 3
130.0 105.0 80.0
129.5 104.5 79.5 1 2
129.0 104.0 1 79.0 1 1
128.5 103.5 78.5 1 2
128.0 103.0 1 78.0 1 3
127.5 102.5 77.5 1
127.0 102.0 77.0 1 2
126.5 101.5 76.5
126.0 101.0 76.0 3 1
125.5 100.5 1 75.5 1
American Mathematics Competitions
2005 AMC 10 B Results for North Dakota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 25.0
74.5 1 1 49.5 24.5
74.0 1 49.0 1 24.0
73.5 2 1 48.5 23.5
73.0 48.0 2 1 23.0
72.5 47.5 22.5
72.0 2 47.0 1 22.0
71.5 3 3 46.5 21.5
71.0 3 46.0 1 1 21.0
70.5 2 45.5 1 20.5
70.0 6 1 45.0 2 20.0
69.5 1 44.5 1 19.5
69.0 2 1 44.0 19.0
68.5 1 2 43.5 1 18.5
68.0 43.0 1 18.0
67.5 1 3 42.5 1 1 17.5
67.0 1 1 42.0 1 2 17.0
66.5 3 41.5 16.5
66.0 1 1 41.0 16.0
65.5 1 40.5 1 15.5
65.0 2 40.0 15.0
64.5 1 2 39.5 1 14.5
64.0 1 1 39.0 14.0
63.5 2 38.5 13.5
63.0 1 1 38.0 1 1 13.0
62.5 2 37.5 12.5
62.0 37.0 12.0
61.5 5 36.5 11.5
61.0 1 36.0 1 11.0
60.5 1 2 35.5 10.5
60.0 1 1 35.0 10.0
59.5 1 2 34.5 1 9.5
59.0 1 1 34.0 9.0
58.5 2 33.5 1 8.5
58.0 1 33.0 8.0
57.5 1 32.5 7.5
57.0 2 32.0 7.0
56.5 1 31.5 6.5
56.0 4 31.0 6.0
55.5 1 30.5 5.5
55.0 1 1 30.0 5.0
54.5 1 1 29.5 4.5
54.0 2 29.0 4.0
53.5 3 28.5 3.5
53.0 1 3 28.0 3.0
52.5 1 1 27.5 2.5
52.0 1 27.0 2.0
51.5 1 26.5 1.5
51.0 1 1 26.0 1.0
50.5 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for North Dakota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
146.5 1
106.5 1
105.5 1
104.0 1
103.0 1
100.5 1
98.5 1 2
97.5 1
95.5 1
95.0 1
93.5 2
92.5 3
91.5 1
91.0 1
90.0 1
89.0 4
88.5 2
88.0 2
87.5 1
87.0 1
86.5 1 3
86.0 1
85.5 1
84.5 1
84.0 2 3
83.5 1
83.0 1 5
82.0 2 3
81.0 1 1
80.5 1 4
79.5 3
79.0 2
78.5 4
78.0 2 2
77.5 1
77.0 3
76.0 1 3
75.5 1
75.0 1
74.5 2
74.0 1
73.5 1 2
72.0 2
71.5 1 5
71.0 1 2
70.5 2
70.0 2 5
69.5 1
69.0 3
68.5 3
67.5 4
67.0 2 1
66.5 3
66.0 2
65.5 1
65.0 2
64.5 1 3
64.0 2
63.5 2
63.0 2
62.5 2
61.5 3 2
61.0 1
60.5 1 2
60.0 2
59.5 1 2
59.0 1 1
58.5 1 1
58.0 1 1
57.5 1
57.0 2
56.5 1
56.0 1 3 1
55.5 1
55.0 2
54.5 2
54.0 1 1
53.5 1 2
53.0 2 2
52.5 1 1
52.0 1
51.5 1
51.0 1 1
50.5 2
49.0 1
48.0 2 1
47.0 1
46.0 2
45.5 1
45.0 2
44.5 1
43.5 1
43.0 1
42.5 2
42.0 2 1
40.5 1
39.5 1
38.0 1 1
36.0 1
34.5 1
33.5 1
American Mathematics Competitions
2005 AMC 10 B Results for North Dakota
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 7.55* 0.45 0.59 0.55 0.77 0.09 0.00
2 0.23 0.05 0.18 6.77* 0.55 2.23 0.00
3 0.00 0.86 4.18 3.55* 0.45 0.95 0.00
4 0.64 0.05 0.59 1.91* 0.27 6.55 0.00
5 0.23 0.14 7.86* 0.27 0.73 0.77 0.00
6 0.32 7.68* 0.45 0.41 0.18 0.95 0.00
7 0.55 0.41* 0.27 1.05 0.50 7.23 0.00
8 3.68* 0.05 1.05 0.27 0.32 4.64 0.00
9 0.36 0.55 3.00 3.86* 0.64 1.59 0.00
10 1.23* 0.59 0.41 0.36 0.09 7.32 0.00
11 0.23 0.45 0.18 1.23 0.95* 6.95 0.00
12 0.50 1.18 0.27 0.41 0.27* 7.36 0.00
13 0.59 0.68 1.09* 1.32 0.73 5.59 0.00
14 0.23 0.41 0.82* 2.23 0.55 5.77 0.00
15 1.55 0.91 0.82 3.68* 0.59 2.45 0.00
16 0.27 0.45 0.55 0.14* 0.00 8.59 0.00
17 0.73 1.55* 1.36 0.45 0.18 5.73 0.00
18 0.41 4.68 1.18 1.64* 0.55 1.55 0.00
19 0.45 4.36* 0.55 0.55 0.36 3.73 0.00
20 0.91 0.36 0.64* 0.27 0.23 7.59 0.00
21 0.18* 0.36 0.27 0.18 0.18 8.82 0.00
22 0.55 0.82 0.41* 0.23 0.18 7.82 0.00
23 2.45 0.41 0.27* 0.50 0.27 6.09 0.00
24 0.32 0.36 0.14 0.41 0.73* 8.05 0.00
25 0.41 0.00 2.36* 0.18 0.23 6.82 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2005 AMC 12 B Results for North Dakota
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 99.0
148.5 123.5 98.5 4 5
148.0 123.0 98.0
147.5 122.5 97.5 2
147.0 122.0 97.0 3
146.5 121.5 96.5 1
146.0 121.0 96.0 5 3
145.5 120.5 95.5 1
145.0 120.0 95.0 7 4
144.5 119.5 94.5
144.0 119.0 94.0 4 1
143.5 118.5 93.5 2
143.0 118.0 93.0
142.5 117.5 92.5 8 8
142.0 117.0 92.0 2 1
141.5 116.5 91.5 6 4
141.0 116.0 91.0 4 2
140.5 115.5 90.5 1 5
140.0 115.0 90.0 7 1
139.5 114.5 89.5
139.0 114.0 89.0 12 4
138.5 113.5 88.5 2
138.0 113.0 88.0 1 4
137.5 112.5 87.5 1
137.0 112.0 87.0 5 4
136.5 111.5 86.5 7 3
136.0 111.0 86.0 1 1
135.5 110.5 85.5 8 15
135.0 110.0 85.0 2
134.5 109.5 84.5 4 8
134.0 109.0 1 84.0 4
133.5 108.5 83.5 5 7
133.0 108.0 83.0 11 16
132.5 107.5 82.5 1
132.0 107.0 82.0 5 4
131.5 106.5 81.5 2 2
131.0 106.0 81.0 6 3
130.5 105.5 2 2 80.5 10 3
130.0 105.0 80.0 3 3
129.5 104.5 79.5 10 7
129.0 104.0 79.0 1 3
128.5 103.5 78.5 11 7
128.0 103.0 1 78.0 3 5
127.5 102.5 77.5 6 4
127.0 102.0 4 1 77.0 4 10
126.5 101.5 76.5 3 4
126.0 101.0 2 76.0 3 9
125.5 100.5 2 75.5 4 3
American Mathematics Competitions
2005 AMC 12 B Results for North Dakota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 5 50.0 3 25.0
74.5 7 4 49.5 24.5
74.0 5 6 49.0 1 24.0
73.5 3 7 48.5 4 23.5
73.0 5 48.0 1 1 23.0
72.5 8 9 47.5 22.5
72.0 3 5 47.0 2 1 22.0
71.5 7 46.5 21.5
71.0 8 3 46.0 21.0
70.5 6 45.5 20.5
70.0 4 10 45.0 1 1 20.0
69.5 1 4 44.5 19.5
69.0 2 4 44.0 19.0
68.5 2 3 43.5 18.5
68.0 3 7 43.0 1 18.0
67.5 7 42.5 17.5
67.0 2 2 42.0 3 17.0
66.5 2 6 41.5 16.5
66.0 4 2 41.0 16.0
65.5 1 6 40.5 15.5
65.0 4 3 40.0 15.0
64.5 2 6 39.5 14.5
64.0 2 4 39.0 14.0
63.5 1 6 38.5 1 13.5
63.0 1 3 38.0 13.0
62.5 4 37.5 12.5
62.0 3 1 37.0 1 12.0
61.5 1 2 36.5 11.5
61.0 1 3 36.0 11.0
60.5 2 2 35.5 10.5
60.0 2 4 35.0 10.0
59.5 2 3 34.5 9.5
59.0 1 2 34.0 9.0
58.5 2 33.5 8.5
58.0 1 3 33.0 8.0
57.5 1 1 32.5 7.5
57.0 1 3 32.0 7.0
56.5 3 31.5 6.5
56.0 3 31.0 6.0
55.5 1 1 30.5 5.5
55.0 2 30.0 5.0
54.5 3 2 29.5 4.5
54.0 3 29.0 4.0
53.5 1 2 28.5 3.5
53.0 1 28.0 3.0
52.5 2 27.5 2.5
52.0 1 27.0 1 2.0
51.5 3 26.5 1.5
51.0 1 26.0 1.0
50.5 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for North Dakota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
109.0 1
105.5 2 2
103.0 1
102.0 2 3
101.0 1 1
100.5 1 1
99.5 2
98.5 4 3 2
97.5 1 1
97.0 1 2
96.5 1
96.0 2 2 4
95.5 1
95.0 1 6 4
94.0 3 2
93.5 1 2
92.5 1 9 6
92.0 1 2
91.5 1 4 5
91.0 3 3
90.5 5 1
90.0 1 5 2
89.0 1 1 7 6 1
88.5 2
88.0 1 3 2
87.5 1
87.0 4 5
86.5 2 3 5
86.0 1 1
85.5 4 12 7
85.0 1 1
84.5 1 8 3
84.0 1 2 1
83.5 2 4 6
83.0 7 20
82.5 1
82.0 1 6 3
81.5 3 1
81.0 2 1 5 1
80.5 9 4
80.0 1 2 2 1
79.5 9 8
79.0 1 2 1
78.5 2 6 10
78.0 2 3 3
77.5 1 5 4
77.0 2 5 7
76.5 1 3 3
76.0 3 3 5 1
75.5 4 3
75.0 1 3 4
74.5 3 4 4
74.0 2 2 6 1
73.5 1 1 3 5
73.0 1 1 3
72.5 3 3 5 6
72.0 3 3 3
71.5 1 5 1
71.0 2 3 6
70.5 1 4 1
70.0 1 10 3
69.5 1 2 2
69.0 1 4 1
68.5 1 4
68.0 2 3 4 1
67.5 3 4
67.0 1 1 1 1
66.5 3 5
66.0 2 4
65.5 3 3 1
65.0 3 5
64.5 1 3 1 3
64.0 2 3 1
63.5 1 2 2 2
63.0 1 2 1
62.5 2 2
62.0 1 2 1
61.5 2 1
61.0 2 2
60.5 3 1
60.0 3 2 2
59.5 1 2 2
59.0 1 2
58.5 2
58.0 3 1
57.5 1 1
57.0 3 1
56.5 1 2
56.0 1 1 1
55.5 1 1
55.0 1 1
54.5 2 1 2
54.0 1 1 1
53.5 3
53.0 1
52.5 1 1
52.0 1
51.5 3
51.0 1
50.5 1 2
50.0 1 1 1
49.0 1
48.5 1 2 1
48.0 1 1
47.0 1 1 1
45.0 1 1
43.0 1
42.0 1 2
38.5 1
37.0 1
27.0 1
American Mathematics Competitions
2005 AMC 12 B Results for North Dakota
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 8.68* 0.31 0.28 0.15 0.49 0.09 0.00
2 0.13 0.28 0.15 8.03* 0.15 1.24 0.01
3 0.18 0.07 8.24* 0.24 0.53 0.74 0.00
4 0.10 8.25* 0.28 0.30 0.12 0.95 0.00
5 5.82* 0.09 0.77 0.04 0.12 3.16 0.00
6 1.39* 1.21 0.77 0.25 0.34 6.03 0.00
7 0.93 0.99 0.28 1.01* 0.50 6.28 0.00
8 1.17 1.41 2.46* 0.03 0.86 4.07 0.00
9 0.53 5.50* 0.46 0.46 0.44 2.61 0.00
10 0.07 0.56 0.16 2.07 1.64* 5.48 0.00
11 1.26 0.65 0.65 4.34* 0.56 2.53 0.00
12 0.25 0.70 0.53 0.34* 0.09 8.09 0.00
13 0.31 0.28 0.30 0.53* 0.13 8.44 0.00
14 0.55 0.76 0.39 0.34 0.55* 7.42 0.00
15 0.52 0.34 0.37 4.46* 0.34 3.97 0.00
16 0.16 0.19 0.41 0.28* 0.27 8.68 0.00
17 0.19 0.30* 0.18 0.10 0.53 8.70 0.00
18 1.10 0.36 0.40* 0.24 0.22 7.69 0.00
19 0.37 0.16 0.16 0.31 1.41* 7.57 0.01
20 0.09 0.30 3.45* 0.40 2.18 3.59 0.00
21 0.21 0.25 0.31* 0.19 0.21 8.83 0.00
22 0.43 0.65 0.18 0.22 0.07* 8.44 0.00
23 0.18 0.18* 0.16 0.04 0.10 9.33 0.00
24 0.34* 0.24 0.33 0.24 0.15 8.70 0.01
25 0.36* 0.24 0.15 0.18 0.37 8.71 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column