American Mathematics Competitions
2006 AMC 10 A Results for North Dakota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 808
Number of unofficial participants: 0
Average score of participants: 69.6
Average score for female students is: 68.5 ( 388 Students)
Average score for male students is: 70.6 ( 393 Students)
Average score for unspecified gender is 71.1 ( 27 Students)
Average score for grade 10 is: 71.9 ( 485 Students)
Average score for grade 9 is: 65.9 ( 309 Students)
Average score for grade 8 and below is: 89.0 ( 1 Student)
Average score with unknown grade: 72.7 ( 13 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 29
Average school winning score 92.67
American Mathematics Competitions
2006 AMC 12 A Results for North Dakota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 926
Number of unofficial participants: 0
Average score of participants: 76.2
Average score for female students is: 74.1 ( 476 Students)
Average score for male students is: 78.8 ( 433 Students)
Average score for unspecified gender is 71.8 ( 17 Students)
Average score for grade 12 is: 76.4 ( 402 Students)
Average score for grade 11 is: 76.4 ( 442 Students)
Average score for grade 10 is: 77.4 ( 52 Students)
Average score for grade 9 is: 68.0 ( 25 Students)
Average score for grade 8 and below is: 86.8 ( 2 Students)
Average score with unknown grade: 76.8 ( 3 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 50
Number of schools returning results 37
Average school winning score 98.81
Average school team score 280.46
American Mathematics Competitions
2006 AMC 10 B Results for North Dakota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 290
Number of unofficial participants: 0
Average score of participants: 57.7
Average score for female students is: 55.9 ( 157 Students)
Average score for male students is: 60.8 ( 126 Students)
Average score for unspecified gender is 44.2 ( 7 Students)
Average score for grade 10 is: 60.6 ( 196 Students)
Average score for grade 9 is: 51.3 ( 90 Students)
Average score for grade 8 and below is: 71.0 ( 1 Student)
Average score with unknown grade: 55.5 ( 3 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 12
Average school winning score 82.33
American Mathematics Competitions
2006 AMC 12 B Results for North Dakota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 537
Number of unofficial participants: 0
Average score of participants: 77.2
Average score for female students is: 74.3 ( 236 Students)
Average score for male students is: 79.5 ( 297 Students)
Average score for unspecified gender is 77.8 ( 4 Students)
Average score for grade 12 is: 81.8 ( 227 Students)
Average score for grade 11 is: 74.1 ( 254 Students)
Average score for grade 10 is: 72.4 ( 44 Students)
Average score for grade 9 is: 69.2 ( 9 Students)
Average score with unknown grade: 87.8 ( 3 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 41
Number of schools returning results 18
Average school winning score 100.67
Average school team score 288.31
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
351.0 1 1
344.0 1 2
343.5 1 3
336.5 1 4
324.5 1 5
324.0 1 6
317.5 1 7
315.5 1 8
315.0 1 9
313.0 1 10
312.5 1 11
306.5 1 1 12
302.5 1 14
301.0 1 15
300.0 1 16
299.0 2 17
297.5 1 19
296.5 1 20
296.0 1 21
294.5 1 22
292.5 1 23
292.0 1 24
288.0 1 25
287.0 1 26
284.0 1 27
282.5 1 28
280.0 1 29
279.0 1 30
278.5 1 31
274.0 1 32
271.5 1 33
270.5 1 34
269.0 1 35
267.5 1 36
267.0 1 37
265.0 1 38
264.0 1 39
263.0 1 40
262.5 1 41
260.5 1 42
258.0 1 43
256.0 1 44
255.0 1 45
253.5 1 46
249.5 1 47
249.0 1 48
242.5 1 49
241.0 1 50
240.0 1 51
237.5 1 52
236.5 1 53
228.5 1 54
225.5 1 55
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
132.5 1
130.0 1
122.0 1
118.5 1
117.0 1
116.0 1
115.0 1 1
113.5 2
112.5 1
111.5 2
111.0 1
110.0 2
109.0 4 1
108.5 1
108.0 2 3
107.5 1 1
106.5 1
105.5 6 2
105.0 1
104.5 2 6
103.0 9 3 1 1
102.0 6 9
101.5 1
101.0 3 10 1
100.5 5 1
99.5 6 3 3
99.0 2
98.5 9 11
98.0 3 1
97.5 3 2 3
97.0 7 3 3
96.5 1
96.0 13 5 1 1
95.5 1
95.0 8 16 8 1
94.5 5 1 1
94.0 6 6 1
93.5 9 2 6
93.0 1 1 1
92.5 11 8 7 1
92.0 3 3 1
91.5 14 5 4
91.0 6 2 1 1
90.5 5 6 1
90.0 14 2 6
89.5 2 3
89.0 20 15 9 2
88.5 8 2 1
88.0 13 11 11
87.5 13 2 5
87.0 7 7 6 1
86.5 9 5 13
86.0 2 1 2
85.5 12 7 17
85.0 6 1 2 1
84.5 11 9 14
84.0 14 8 4 3
83.5 1 1 11
83.0 20 11 9 2
82.5 6 4
82.0 18 17 16 2
81.5 8 5 5 1
81.0 9 11 4 1
80.5 16 5 9 2
80.0 5 2 5 2
79.5 23 7 19 1
79.0 4 1 3 1
78.5 14 11 14
78.0 19 8 6 1
77.5 5 10 12
77.0 13 11 19 4
76.5 6 2 4
76.0 14 6 10 3
75.5 9 4 7
75.0 17 10 11
74.5 10 8 11 2
74.0 9 4 9 1
73.5 14 13 17 3
73.0 14 7 3
72.5 19 9 15 2
72.0 13 2 4 1
71.5 5 9 16
71.0 18 8 12 2
70.5 7 5 6 2
70.0 15 11 14 4
69.5 4 2 9 2
69.0 12 10 11 2
68.5 16 2 5 4
68.0 6 4 8 2
67.5 11 7 11 5
67.0 9 5 6 2
66.5 14 4 14 2
66.0 14 3 11 3
65.5 12 7 15 4
65.0 17 7 11 6
64.5 7 4 16 2
64.0 13 5 12 3
63.5 10 3 6 6
63.0 7 5 16 5
62.5 8 1 13 4
62.0 8 6 7 2
61.5 8 3 8 6
61.0 4 5 7 4
60.5 7 5 10 1
60.0 4 2 8 2
59.5 4 4 8 3
59.0 6 5 8 4
58.5 4 4 5 3
58.0 6 4 12 3
57.5 3 4 2
57.0 3 3 6 8
56.5 5 1 9 4
56.0 3 2 2 5
55.5 9 5 4 11
55.0 4 2 3 1
54.5 3 3 6 4
54.0 3 3 7 3
53.5 1 1 2 2
53.0 2 3 7 6
52.5 3 3 2 1
52.0 3 3 4 4
51.5 3 1 5 2
51.0 2 3 4 7
50.5 4 1 5 3
50.0 1 5 1
49.5 4 2 4 3
49.0 1 4 5
48.5 2 2 4
48.0 2 2 8 2
47.5 4
47.0 2 2 2
46.5 2 1 6 2
46.0 1 2 5
45.5 1 2 5 3
45.0 1 1
44.5 3 1 1 3
44.0 1 6 1
43.5 3 1 7 3
43.0 2
42.5 2 2 4
42.0 2 1 9 3
41.5 1 1
41.0 1 3
40.5 1 2
40.0 1 2
39.5 2 3
39.0 2 4 1
38.5 1 2
38.0 2 1
37.5 1 2
36.5 1 3
36.0 1 1 5 1
35.5 1 3
35.0 1
34.0 1 2
33.5 2
32.5 1 1 3
32.0 2
31.5 1
31.0 1
30.5 1 1
30.0 2 1
29.5 2
29.0 1
28.0 1
26.5 1
24.0 1 1
23.0 1
22.5 1
22.0 1
19.5 1
18.0 1 1
16.0 2
12.0 1
8.5 1
6.0 1
American Mathematics Competitions
2006 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 2 1
149.0 124.0 99.0
148.5 123.5 98.5
148.0 123.0 98.0 2 1
147.5 122.5 97.5 2
147.0 122.0 97.0 2 1
146.5 121.5 96.5
146.0 121.0 96.0 1
145.5 120.5 95.5
145.0 120.0 95.0 4 4
144.5 119.5 94.5 1
144.0 119.0 94.0 1
143.5 118.5 93.5 5
143.0 118.0 93.0 1
142.5 117.5 92.5 4 3
142.0 117.0 92.0 2 1
141.5 116.5 91.5 3 1
141.0 116.0 91.0 1
140.5 115.5 90.5 1
140.0 115.0 1 90.0 3 3
139.5 114.5 89.5 1 1
139.0 114.0 89.0 5 4
138.5 113.5 88.5 1
138.0 113.0 88.0 2 7
137.5 112.5 87.5 4 1
137.0 112.0 87.0 4 2
136.5 111.5 86.5 9 4
136.0 111.0 86.0
135.5 110.5 85.5 8 9
135.0 110.0 85.0 1
134.5 109.5 84.5 6 6
134.0 109.0 84.0 3 1
133.5 108.5 83.5 5 6
133.0 108.0 83.0 5 4
132.5 107.5 82.5 2 2
132.0 107.0 82.0 6 9
131.5 106.5 81.5 1 4
131.0 106.0 81.0 3 1
130.5 105.5 80.5 5 2
130.0 105.0 80.0 3 2
129.5 104.5 79.5 6 13
129.0 104.0 79.0 2 1
128.5 103.5 78.5 7 7
128.0 103.0 1 78.0 4 2
127.5 102.5 77.5 5 6
127.0 102.0 77.0 13 6
126.5 101.5 1 76.5 2 2
126.0 101.0 1 76.0 5 5
125.5 100.5 75.5 3 4
American Mathematics Competitions
2006 AMC 10 A Results for North Dakota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 7 50.0 4 1 25.0
74.5 4 7 49.5 3 1 24.5
74.0 2 6 49.0 2 2 24.0 1
73.5 6 11 48.5 23.5
73.0 1 2 48.0 3 5 23.0
72.5 10 4 47.5 22.5
72.0 1 2 47.0 2 22.0
71.5 8 7 46.5 5 1 21.5
71.0 4 7 46.0 21.0
70.5 5 1 45.5 3 2 20.5
70.0 12 2 45.0 1 20.0
69.5 5 4 44.5 1 19.5
69.0 5 6 44.0 3 3 19.0
68.5 4 1 43.5 2 4 18.5
68.0 3 5 43.0 18.0 1
67.5 7 4 42.5 1 1 17.5
67.0 4 2 42.0 4 4 17.0
66.5 2 11 41.5 1 16.5
66.0 5 6 41.0 16.0
65.5 6 9 40.5 1 15.5
65.0 6 5 40.0 1 15.0
64.5 4 11 39.5 14.5
64.0 6 6 39.0 2 2 14.0
63.5 2 3 38.5 13.5
63.0 6 10 38.0 1 1 13.0
62.5 5 8 37.5 12.5
62.0 2 5 37.0 12.0
61.5 5 3 36.5 3 11.5
61.0 3 4 36.0 3 2 11.0
60.5 5 5 35.5 10.5
60.0 2 6 35.0 10.0
59.5 6 2 34.5 9.5
59.0 3 3 34.0 2 9.0
58.5 1 4 33.5 8.5
58.0 8 3 33.0 8.0
57.5 1 3 32.5 7.5
57.0 2 4 32.0 7.0
56.5 8 1 31.5 6.5
56.0 2 31.0 6.0
55.5 1 3 30.5 5.5
55.0 2 1 30.0 1 1 5.0
54.5 3 3 29.5 4.5
54.0 4 3 29.0 4.0
53.5 1 1 28.5 3.5
53.0 3 4 28.0 3.0
52.5 1 1 27.5 2.5
52.0 2 2 27.0 2.0
51.5 2 3 26.5 1.5
51.0 1 3 26.0 1.0
50.5 1 4 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for North Dakota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
115.0 1
103.0 1
101.5 1
101.0 1
99.5 1 2
98.0 3
97.5 2 1
97.0 3
96.0 1
95.0 2 6
94.5 1
94.0 1
93.5 5 1
93.0 1
92.5 2 5
92.0 3
91.5 1 3
91.0 1
90.5 1
90.0 2 4
89.5 2 1
89.0 1 2 6
88.5 1
88.0 9 2
87.5 5
87.0 6
86.5 1 12
85.5 6 11
85.0 2
84.5 8 5 1
84.0 2 2
83.5 4 7
83.0 3 6
82.5 4
82.0 6 10
81.5 1 4
81.0 3 1
80.5 4 5
80.0 3 2
79.5 8 11
79.0 1 1 1
78.5 9 5
78.0 1 5
77.5 4 8
77.0 9 10
76.5 2 2
76.0 2 8
75.5 7
75.0 6 5
74.5 4 7
74.0 3 6
73.5 4 13
73.0 3
72.5 5 9 1
72.0 1 3
71.5 6 10
71.0 5 7
70.5 3 3
70.0 4 10
69.5 5 3 1
69.0 7 4
68.5 2 3
68.0 4 4
67.5 3 8
67.0 1 5
66.5 6 8
66.0 3 7 1
65.5 5 10
65.0 4 7
64.5 3 13
64.0 4 8
63.5 2 4
63.0 8 8
62.5 6 6 1
62.0 4 3
61.5 5 3
61.0 4 3
60.5 5 5
60.0 5 3
59.5 5 3
59.0 2 6
58.5 3 2
58.0 5 6 1
57.5 3 1
57.0 4 2
56.5 4 5
56.0 2
55.5 2 2
55.0 2 1
54.5 1 5
54.0 3 4
53.5 1 1
53.0 3 4
52.5 1 1
52.0 1 3
51.5 5
51.0 2 2
50.5 4 1
50.0 1 4
49.5 3 1
49.0 2 2
48.0 3 5
47.0 2
46.5 3 3
45.5 4 1
45.0 1
44.5 1
44.0 4 2
43.5 2 4 1
42.5 2
42.0 7 1 1
41.5 1
40.5 2
40.0 1
39.0 2 2
38.0 2
36.5 1 2
36.0 5
34.0 2
32.5 1
30.0 2
24.0 1
18.0 1
American Mathematics Competitions
2006 AMC 10 A Results for North Dakota
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 9.93* 0.02 0.00 0.04 0.00 0.01 0.00
2 0.36 0.17 0.73* 0.26 2.13 6.35 0.00
3 0.24 7.19* 0.24 0.07 1.91 0.35 0.01
4 2.48 0.26 0.16 0.20 5.62* 1.29 0.00
5 0.46 1.65 1.44 5.37* 0.31 0.78 0.00
6 0.24 6.08* 0.58 0.12 0.09 2.90 0.00
7 5.88* 0.26 0.40 0.40 0.19 2.87 0.01
8 0.79 0.42 0.38 0.27 0.92* 7.22 0.00
9 1.92 1.42 4.05* 0.42 0.33 1.86 0.00
10 0.26 0.33 0.62 0.93 0.43* 7.43 0.00
11 1.00 1.08 0.95* 0.32 0.78 5.87 0.00
12 1.21 0.38 2.70* 0.80 0.56 4.34 0.00
13 0.35 1.46 0.52 2.57* 0.20 4.90 0.00
14 1.16 2.23* 0.28 0.80 0.95 4.57 0.00
15 0.68 0.56 0.36 0.73* 0.71 6.97 0.00
16 0.16 0.15 0.26 0.38* 0.43 8.61 0.00
17 0.71* 0.28 0.22 0.50 0.31 7.98 0.00
18 1.35 0.14 1.19* 0.51 0.30 6.52 0.00
19 0.50 0.75 0.47* 0.21 0.22 7.85 0.00
20 0.43 0.97 0.35 0.43 0.28* 7.54 0.00
21 0.79 0.61 0.32 0.46 0.61* 7.22 0.00
22 0.10 0.56 2.23* 4.02 1.21 1.88 0.00
23 0.75 0.40* 0.16 0.21 0.47 7.98 0.02
24 0.61 0.28* 0.30 0.21 0.16 8.44 0.00
25 1.16 0.43 0.38* 0.59 0.19 7.23 0.01
(*) 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 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 3 2
149.0 124.0 99.0 2
148.5 123.5 98.5 5 4
148.0 123.0 98.0
147.5 122.5 97.5 2 1
147.0 122.0 1 97.0 6 1
146.5 121.5 96.5 1
146.0 121.0 96.0 8 5
145.5 120.5 95.5 1
145.0 120.0 95.0 5 3
144.5 119.5 94.5 3 1
144.0 119.0 94.0 2 4
143.5 118.5 1 93.5 5 4
143.0 118.0 93.0 1
142.5 117.5 92.5 7 4
142.0 117.0 1 92.0 3
141.5 116.5 91.5 4 9
141.0 116.0 91.0 4 2
140.5 115.5 90.5 2 3
140.0 115.0 1 90.0 12 2
139.5 114.5 89.5 2
139.0 114.0 89.0 11 9
138.5 113.5 2 88.5 5 3
138.0 113.0 88.0 8 5
137.5 112.5 87.5 6 7
137.0 112.0 87.0 2 5
136.5 111.5 86.5 1 8
136.0 111.0 1 86.0 2
135.5 110.5 85.5 6 6
135.0 110.0 2 85.0 3 3
134.5 109.5 84.5 4 7
134.0 109.0 3 1 84.0 8 6
133.5 108.5 83.5 1
133.0 108.0 2 83.0 8 11
132.5 107.5 1 82.5 2 4
132.0 107.0 82.0 8 9
131.5 106.5 1 81.5 4 4
131.0 106.0 81.0 6 3
130.5 105.5 2 4 80.5 5 11
130.0 1 105.0 1 80.0 5
129.5 104.5 1 1 79.5 12 11
129.0 104.0 79.0 4
128.5 103.5 78.5 5 9
128.0 103.0 6 3 78.0 10 9
127.5 102.5 77.5 2 3
127.0 102.0 3 3 77.0 2 11
126.5 101.5 76.5 4 2
126.0 101.0 3 76.0 6 8
125.5 100.5 4 1 75.5 4 5
American Mathematics Competitions
2006 AMC 12 A Results for North Dakota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 7 10 50.0 1 25.0
74.5 6 4 49.5 2 2 24.5
74.0 4 5 49.0 24.0 1
73.5 5 9 48.5 2 23.5
73.0 9 5 48.0 1 23.0
72.5 5 14 47.5 22.5
72.0 6 5 47.0 2 22.0
71.5 1 3 46.5 1 1 21.5
71.0 6 12 46.0 1 21.0
70.5 2 5 45.5 1 20.5
70.0 8 6 45.0 20.0
69.5 2 2 44.5 1 2 19.5
69.0 9 3 44.0 1 19.0
68.5 7 8 43.5 3 18.5
68.0 5 1 43.0 1 1 18.0
67.5 3 7 42.5 2 17.5
67.0 6 3 42.0 2 17.0
66.5 2 11 41.5 16.5
66.0 10 4 41.0 1 16.0
65.5 4 8 40.5 15.5
65.0 6 11 40.0 15.0
64.5 2 5 39.5 14.5
64.0 4 9 39.0 1 1 14.0
63.5 4 6 38.5 13.5
63.0 1 6 38.0 13.0
62.5 3 4 37.5 1 12.5
62.0 2 5 37.0 12.0
61.5 2 6 36.5 1 11.5
61.0 3 1 36.0 1 11.0
60.5 4 3 35.5 1 10.5
60.0 1 3 35.0 10.0
59.5 3 1 34.5 9.5
59.0 2 4 34.0 1 9.0
58.5 2 1 33.5 8.5 1
58.0 2 4 33.0 8.0
57.5 1 2 32.5 1 7.5
57.0 1 2 32.0 7.0
56.5 2 3 31.5 1 6.5
56.0 2 1 31.0 6.0
55.5 4 5 30.5 1 5.5
55.0 4 30.0 5.0
54.5 1 2 29.5 4.5
54.0 1 2 29.0 4.0
53.5 1 28.5 3.5
53.0 1 1 28.0 1 3.0
52.5 3 27.5 2.5
52.0 1 2 27.0 2.0
51.5 3 26.5 1.5
51.0 2 26.0 1.0
50.5 1 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for North Dakota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
130.0 1
122.0 1
118.5 1
117.0 1
115.0 1
113.5 1 1
111.0 1
110.0 1 1
109.0 4
108.0 1 1
107.5 1
106.5 1
105.5 3 3
105.0 1
104.5 1 1
103.0 5 4
102.0 3 3
101.0 2 1
100.5 1 4
99.5 3 3
99.0 1 1
98.5 1 3 5
97.5 1 2
97.0 3 4
96.5 1
96.0 5 8
95.5 1
95.0 6 2
94.5 1 3 1
94.0 1 1 1 3
93.5 3 6
93.0 1
92.5 1 7 3
92.0 3
91.5 6 7 1
91.0 1 2 3
90.5 1 4
90.0 2 5 7
89.5 1 1
89.0 1 13 6
88.5 5 3
88.0 1 1 5 6
87.5 8 5
87.0 1 3 3
86.5 8 1
86.0 1 1
85.5 1 5 6
85.0 1 1 4
84.5 5 6
84.0 3 7 4
83.5 1
83.0 1 9 10
82.5 6
82.0 2 8 8
81.5 2 6
81.0 1 5 3
80.5 1 9 6
80.0 3 2
79.5 4 7 12
79.0 2 2
78.5 2 7 5
78.0 1 7 11
77.5 2 3
77.0 1 1 6 4 1
76.5 3 3
76.0 1 1 7 5
75.5 7 2
75.0 9 8
74.5 1 5 4
74.0 4 5
73.5 1 1 6 6
73.0 11 3
72.5 1 4 5 9
72.0 1 6 6
71.5 1 2 2
71.0 2 11 5
70.5 1 3 3
70.0 1 7 7
69.5 2 2
69.0 8 4
68.5 1 7 8
68.0 4 2
67.5 1 8 2
67.0 3 5 1
66.5 1 3 6 4
66.0 1 5 8
65.5 1 7 4
65.0 1 1 8 7
64.5 7
64.0 4 9
63.5 2 1 3 4
63.0 2 3 2
62.5 1 1 4 2
62.0 4 3 1
61.5 2 4 2
61.0 2 2
60.5 3 4
60.0 4
59.5 3 1
59.0 4 2
58.5 1 1 2
58.0 1 2 3
57.5 2 1
57.0 1 2
56.5 5
56.0 1 1 1
55.5 1 5 3
55.0 1 3
54.5 3
54.0 2 1
53.5 1
53.0 2
52.5 3
52.0 3
51.5 1 2
51.0 1 1
50.5 4
50.0 1
49.5 2 2
48.5 1 1
48.0 1 1
47.0 2
46.5 2
46.0 1
45.5 1
44.5 3
44.0 1
43.5 3
43.0 1 1
42.5 2
42.0 1 1
41.0 1
39.0 1 1
37.5 1
36.5 1
36.0 1
35.5 1
34.0 1
32.5 1
31.5 1
30.5 1
28.0 1
24.0 1
8.5 1
American Mathematics Competitions
2006 AMC 12 A Results for North Dakota
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 9.90* 0.02 0.03 0.04 0.00 0.00 0.00
2 0.64 0.14 1.67* 0.08 1.16 6.32 0.00
3 0.14 7.99* 0.06 0.09 1.44 0.28 0.00
4 2.16 0.19 0.10 0.21 6.58* 0.77 0.00
5 0.36 1.22 1.37 6.30* 0.24 0.52 0.00
6 6.78* 0.11 0.29 0.16 0.24 2.42 0.00
7 0.83 3.06* 0.94 0.46 0.48 4.23 0.00
8 1.38 1.45 5.11* 0.28 0.16 1.62 0.00
9 7.33* 0.35 0.14 0.08 0.24 1.87 0.00
10 0.25 0.19 0.53 1.76 0.94* 6.33 0.00
11 1.23 0.86 1.05* 0.95 0.70 5.21 0.00
12 1.40 3.68* 0.29 0.79 0.56 3.27 0.00
13 0.54 0.12 0.30 0.14 3.36* 5.54 0.00
14 0.08 0.36 3.41* 3.57 0.65 1.93 0.00
15 1.89* 1.38 0.36 0.30 1.03 5.03 0.01
16 0.51 1.52* 0.12 0.26 0.49 7.11 0.00
17 0.38 0.40* 0.33 0.18 0.11 8.60 0.00
18 0.81 0.13 0.33 0.33 0.38* 8.01 0.00
19 0.08 0.10 0.27 0.10 0.13* 9.33 0.00
20 1.38 0.42 0.30* 0.35 0.09 7.46 0.00
21 0.13 0.06 0.35 0.11 0.12* 9.23 0.00
22 0.24 0.12 0.09 0.06* 0.06 9.43 0.00
23 0.08 0.13* 0.09 0.09 0.15 9.46 0.01
24 1.24 0.15 0.12 0.21* 0.16 8.11 0.01
25 0.11 0.28 0.25 0.12 0.06* 9.18 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2006 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
148.0 123.0 98.0 1
147.5 122.5 97.5
147.0 122.0 97.0 3
146.5 121.5 96.5
146.0 121.0 96.0 1
145.5 120.5 95.5
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
143.0 118.0 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 91.0 1
140.5 115.5 90.5
140.0 115.0 90.0
139.5 114.5 89.5
139.0 114.0 89.0 2
138.5 113.5 88.5
138.0 113.0 88.0
137.5 112.5 87.5
137.0 112.0 87.0 1
136.5 111.5 86.5
136.0 111.0 86.0 1 1
135.5 110.5 85.5
135.0 110.0 85.0 1
134.5 109.5 84.5
134.0 109.0 84.0 1 2
133.5 108.5 1 83.5
133.0 108.0 83.0 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 1
130.5 105.5 80.5 2
130.0 105.0 80.0 1 1
129.5 104.5 79.5 1
129.0 104.0 79.0 1
128.5 103.5 78.5
128.0 103.0 1 78.0 1
127.5 102.5 77.5
127.0 102.0 77.0 4
126.5 101.5 76.5
126.0 101.0 76.0 2 1
125.5 100.5 75.5
American Mathematics Competitions
2006 AMC 10 B Results for North Dakota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 50.0 1 25.0
74.5 2 49.5 1 2 24.5
74.0 1 49.0 5 24.0
73.5 2 1 48.5 2 2 23.5
73.0 48.0 2 23.0 1
72.5 2 47.5 1 3 22.5 1
72.0 1 47.0 1 1 22.0 1
71.5 46.5 1 1 21.5
71.0 2 46.0 3 2 21.0
70.5 2 45.5 1 2 20.5
70.0 3 45.0 1 20.0
69.5 1 1 44.5 3 19.5 1
69.0 2 44.0 1 19.0
68.5 2 2 43.5 2 18.5
68.0 1 1 43.0 18.0 1
67.5 3 2 42.5 3 1 17.5
67.0 2 42.0 3 17.0
66.5 2 41.5 1 16.5
66.0 1 2 41.0 2 1 16.0 1
65.5 2 2 40.5 15.5
65.0 2 4 40.0 1 1 15.0
64.5 2 39.5 2 1 14.5
64.0 2 1 39.0 1 14.0
63.5 4 2 38.5 1 13.5
63.0 2 3 38.0 1 13.0
62.5 1 3 37.5 2 12.5
62.0 1 1 37.0 12.0 1
61.5 1 5 36.5 11.5
61.0 1 2 36.0 1 11.0
60.5 1 35.5 3 10.5
60.0 2 35.0 1 10.0
59.5 2 1 34.5 9.5
59.0 3 1 34.0 9.0
58.5 3 33.5 1 1 8.5
58.0 1 2 33.0 8.0
57.5 2 32.5 3 7.5
57.0 2 6 32.0 1 1 7.0
56.5 1 3 31.5 6.5
56.0 1 4 31.0 1 6.0 1
55.5 3 8 30.5 1 5.5
55.0 1 30.0 1 5.0
54.5 1 3 29.5 1 4.5
54.0 2 1 29.0 1 4.0
53.5 2 28.5 3.5
53.0 2 4 28.0 3.0
52.5 1 27.5 2.5
52.0 2 2 27.0 2.0
51.5 2 26.5 1 1.5
51.0 1 5 26.0 1.0
50.5 1 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for North Dakota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
108.5 1
103.0 1
98.0 1
97.0 3
96.0 1
95.0 1
93.0 1
92.5 1
92.0 1
91.0 1
89.0 1 1
87.0 1
86.0 2
85.0 1
84.0 1 2
83.0 2
82.0 2
81.5 1
81.0 1
80.5 1 1
80.0 2
79.5 1
79.0 1
78.0 1
77.0 4
76.0 1 2
74.5 2
74.0 1
73.5 3
72.5 1 1
72.0 1
71.0 1 1
70.5 1 1
70.0 1 2 1
69.5 2
69.0 1 1
68.5 4
68.0 2
67.5 5
67.0 2
66.5 2
66.0 1 2
65.5 4
65.0 1 5
64.5 2
64.0 2 1
63.5 1 5
63.0 4 1
62.5 1 3
62.0 2
61.5 3 3
61.0 2 2
60.5 1
60.0 2
59.5 1 2
59.0 4
58.5 3
58.0 2 1
57.5 1 1
57.0 2 6
56.5 1 3
56.0 1 4
55.5 3 8
55.0 1
54.5 1 3
54.0 3
53.5 1 1
53.0 4 2
52.5 1
52.0 2 2
51.5 1 1
51.0 4 3
50.5 2 1
50.0 1
49.5 2 1
49.0 3 2
48.5 3 1
48.0 1 1
47.5 2 2
47.0 1 1
46.5 2
46.0 2 3
45.5 3
45.0 1
44.5 3
44.0 1
43.5 2 1
42.5 2 2
42.0 1 2
41.5 1
41.0 1 2
40.0 1 1
39.5 1 2
39.0 1
38.5 1 1
38.0 1
37.5 1 1
36.0 1
35.5 1 2
35.0 1
33.5 1 1
32.5 1 2
32.0 2
31.0 1
30.5 1
30.0 1
29.5 1 1
29.0 1
26.5 1
23.0 1
22.5 1
22.0 1
19.5 1
18.0 1
16.0 1 1
12.0 1
6.0 1
American Mathematics Competitions
2006 AMC 10 B Results for North Dakota
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 1.21 0.62 4.24* 2.41 0.62 0.90 0.00
2 2.66* 1.24 0.03 0.31 0.10 5.66 0.00
3 6.83* 0.45 0.14 2.10 0.21 0.28 0.00
4 1.52 2.55 0.59 1.10* 2.00 2.24 0.00
5 1.14 3.79* 1.62 0.28 0.24 2.93 0.00
6 0.45 0.24 3.69 1.31* 0.76 3.55 0.00
7 1.28* 0.90 0.76 2.21 0.48 4.38 0.00
8 2.00 0.93* 0.17 1.79 0.31 4.79 0.00
9 0.00 6.07* 0.21 0.21 1.97 1.55 0.00
10 1.07* 0.41 1.86 0.28 1.97 4.41 0.00
11 0.31 1.07 1.41* 0.31 0.31 6.59 0.00
12 0.24 0.59 0.38 0.55 2.90* 5.34 0.00
13 1.10 0.24 2.69 0.72 1.62* 3.62 0.00
14 0.03 0.24 0.21 0.24* 0.14 9.14 0.00
15 0.83 0.14 1.52* 0.55 0.21 6.76 0.00
16 2.76 0.48 2.21 0.69 1.03* 2.83 0.00
17 3.17 1.21 1.79 1.41* 0.17 2.24 0.00
18 0.55 0.41 0.83 0.31 0.97* 6.93 0.00
19 0.28* 0.45 0.34 0.24 0.03 8.66 0.00
20 0.31 0.48 0.28 0.69 0.66* 7.59 0.00
21 0.79 0.31 0.59* 2.17 0.76 5.38 0.00
22 0.34 0.83 2.10 0.52* 0.24 5.97 0.00
23 0.34 1.07 0.24 0.45* 0.24 7.66 0.00
24 0.14 0.59* 0.97 0.38 0.10 7.83 0.00
25 0.24 1.66* 0.24 1.72 0.72 5.41 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 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 1
149.0 124.0 99.0
148.5 123.5 98.5 9 2
148.0 123.0 98.0
147.5 122.5 97.5 2
147.0 122.0 97.0
146.5 121.5 96.5
146.0 121.0 96.0 4 1
145.5 120.5 95.5
145.0 120.0 95.0 10 6
144.5 119.5 94.5 1
144.0 119.0 94.0 4 2
143.5 118.5 93.5 1 1
143.0 118.0 93.0
142.5 117.5 92.5 8
142.0 117.0 92.0
141.5 116.5 91.5 4 1
141.0 116.0 1 91.0 1 1
140.5 115.5 90.5 4 2
140.0 115.0 90.0 2
139.5 114.5 89.5
139.0 114.0 89.0 9 6
138.5 113.5 88.5 2
138.0 113.0 88.0 4 7
137.5 112.5 1 87.5 2
137.0 112.0 87.0 3 4
136.5 111.5 1 1 86.5 2 3
136.0 111.0 86.0 1
135.5 110.5 85.5 2 5
135.0 110.0 85.0 1
134.5 109.5 84.5 3 6
134.0 109.0 1 84.0 7
133.5 108.5 83.5 1
133.0 108.0 2 1 83.0 7 4
132.5 1 107.5 1 82.5
132.0 107.0 82.0 7 9
131.5 106.5 81.5 2 3
131.0 106.0 81.0 7 4
130.5 105.5 2 80.5 1 4
130.0 105.0 80.0 1 1
129.5 104.5 4 2 79.5 4 3
129.0 104.0 79.0 1
128.5 103.5 78.5 9 2
128.0 103.0 3 78.0 4 4
127.5 102.5 77.5 4 6
127.0 102.0 7 2 77.0 5 6
126.5 101.5 76.5 1 1
126.0 101.0 8 2 76.0 3 3
125.5 100.5 1 75.5 2 2
American Mathematics Competitions
2006 AMC 12 B Results for North Dakota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 5 5 50.0 25.0
74.5 4 4 49.5 1 1 24.5
74.0 1 3 49.0 1 24.0
73.5 8 4 48.5 2 23.5
73.0 4 3 48.0 1 1 23.0
72.5 5 4 47.5 22.5
72.0 1 1 47.0 22.0
71.5 3 5 46.5 1 21.5
71.0 4 4 46.0 1 1 21.0
70.5 1 4 45.5 2 20.5
70.0 5 6 45.0 20.0
69.5 2 44.5 1 19.5
69.0 6 4 44.0 19.0
68.5 2 43.5 1 18.5
68.0 4 43.0 18.0
67.5 4 3 42.5 17.5
67.0 1 4 42.0 1 17.0
66.5 2 2 41.5 16.5
66.0 1 2 41.0 16.0
65.5 3 4 40.5 1 15.5
65.0 4 3 40.0 15.0
64.5 2 2 39.5 2 14.5
64.0 2 3 39.0 14.0
63.5 2 1 38.5 1 13.5
63.0 3 2 38.0 13.0
62.5 1 37.5 12.5
62.0 2 4 37.0 12.0
61.5 3 36.5 11.5
61.0 3 2 36.0 1 11.0
60.5 2 3 35.5 10.5
60.0 1 1 35.0 10.0
59.5 1 3 34.5 9.5
59.0 4 1 34.0 9.0
58.5 2 2 33.5 8.5
58.0 4 33.0 8.0
57.5 32.5 7.5
57.0 2 1 32.0 7.0
56.5 1 31.5 6.5
56.0 2 31.0 6.0
55.5 3 2 30.5 5.5
55.0 1 1 30.0 5.0
54.5 1 2 29.5 4.5
54.0 3 29.0 4.0
53.5 1 28.5 3.5
53.0 1 2 28.0 3.0
52.5 1 2 27.5 2.5
52.0 1 2 27.0 2.0
51.5 1 26.5 1.5
51.0 3 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for North Dakota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
132.5 1
116.0 1
112.5 1
111.5 1 1
109.0 1
108.0 1 1 1
107.5 1
105.5 1 1
104.5 3 3
103.0 1 2
102.0 3 6
101.0 1 9
100.5 1
99.5 3
98.5 3 8
97.5 2
96.0 2 3
95.0 8 8
94.5 1
94.0 3 3
93.5 1 1
92.5 1 7
91.5 2 3
91.0 2
90.5 1 4 1
90.0 1 1
89.0 1 4 10
88.5 1 1
88.0 8 3
87.5 1 1
87.0 1 4 2
86.5 2 3
86.0 1
85.5 2 3 2
85.0 1
84.5 1 4 4
84.0 4 4
83.5 1
83.0 1 6 4
82.0 1 1 5 9 1
81.5 1 1 3
81.0 2 2 7
80.5 4 1
80.0 1 1
79.5 1 4 2
79.0 1
78.5 1 7 3
78.0 2 6
77.5 1 1 5 3
77.0 1 2 5 3
76.5 1 1
76.0 3 3
75.5 1 1 2
75.0 2 5 3
74.5 1 1 5 1
74.0 2 2
73.5 1 7 4 1
73.0 5 2
72.5 3 6
72.0 1 1
71.5 1 5 3
71.0 1 4 3
70.5 2 3
70.0 1 4 6
69.5 1 1
69.0 6 4
68.5 1 1
68.0 4
67.5 2 3 2
67.0 2 3
66.5 1 1 2
66.0 1 2
65.5 3 4
65.0 1 2 3 1
64.5 2 2
64.0 2 2 1
63.5 3
63.0 1 2 2
62.5 1
62.0 4 2
61.5 1 2
61.0 1 4
60.5 3 2
60.0 1 1
59.5 4
59.0 3 2
58.5 1 3
58.0 2 2
57.0 3
56.5 1
56.0 2
55.5 4 1
55.0 2
54.5 3
54.0 2 1
53.5 1
53.0 1 1 1
52.5 2 1
52.0 2 1
51.5 1
51.0 2 1
50.5 1
49.5 2
49.0 1
48.5 2
48.0 1 1
46.5 1
46.0 2
45.5 1 1
44.5 1
43.5 1
42.0 1
40.5 1
39.5 2
38.5 1
36.0 1
American Mathematics Competitions
2006 AMC 12 B Results for North Dakota
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 0.52 0.54 6.13* 1.75 0.39 0.67 0.00
2 5.16* 0.56 0.06 0.07 0.13 4.02 0.00
3 7.84* 0.15 0.04 1.30 0.34 0.34 0.00
4 8.64* 0.41 0.17 0.32 0.09 0.37 0.00
5 5.74* 0.78 0.37 0.32 0.19 2.61 0.00
6 0.06 7.77* 0.13 0.17 0.86 1.01 0.02
7 0.41 7.84* 0.56 0.39 0.15 0.65 0.00
8 0.19 0.39 0.26 0.32 4.58* 4.26 0.00
9 0.41 3.09* 0.26 0.69 0.24 5.31 0.00
10 1.94* 0.26 1.36 0.13 2.35 3.97 0.00
11 0.74 0.09 1.23 0.88 3.26* 3.80 0.00
12 0.43 0.34 0.24 0.30* 0.54 8.16 0.00
13 0.43 0.24 1.21* 0.26 0.26 7.60 0.00
14 0.06 0.58 1.92 0.97* 0.13 6.35 0.00
15 0.11 0.88* 0.67 0.26 0.11 7.97 0.00
16 0.07 0.15 0.20* 0.09 0.09 9.39 0.00
17 0.39 0.37 0.61* 1.69 0.47 6.46 0.00
18 0.35 0.45* 0.82 0.26 0.19 7.93 0.00
19 0.15 1.47* 0.11 1.38 0.32 6.57 0.00
20 0.19 0.13 0.04* 0.09 0.32 9.24 0.00
21 0.13 0.06 0.07* 0.04 0.07 9.63 0.00
22 0.11 0.26* 0.22 0.00 0.02 9.39 0.00
23 0.17 0.13 0.37 0.24 0.06* 9.03 0.00
24 0.11 0.06 0.13* 0.13 0.02 9.55 0.00
25 0.06 0.19* 0.11 0.22 0.07 9.35 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column