American Mathematics Competitions
2006 AMC 10 A Results for Missouri
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1345
Number of unofficial participants: 0
Average score of participants: 75.6
Average score for female students is: 72.8 ( 573 Students)
Average score for male students is: 77.8 ( 704 Students)
Average score for unspecified gender is 75.6 ( 68 Students)
Average score for grade 10 is: 77.2 ( 749 Students)
Average score for grade 9 is: 72.9 ( 566 Students)
Average score for grade 8 and below is: 94.5 ( 17 Students)
Average score with unknown grade: 71.6 ( 13 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 19
Number of schools returning results 44
Average school winning score 107.33
American Mathematics Competitions
2006 AMC 12 A Results for Missouri
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1455
Number of unofficial participants: 0
Average score of participants: 83.1
Average score for female students is: 79.5 ( 593 Students)
Average score for male students is: 85.7 ( 827 Students)
Average score for unspecified gender is 84.0 ( 35 Students)
Average score for grade 12 is: 83.9 ( 628 Students)
Average score for grade 11 is: 82.3 ( 742 Students)
Average score for grade 10 is: 85.3 ( 48 Students)
Average score for grade 9 is: 79.8 ( 20 Students)
Average score with unknown grade: 87.9 ( 17 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 256
Number of schools returning results 47
Average school winning score 109.16
Average school team score 313.17
American Mathematics Competitions
2006 AMC 10 B Results for Missouri
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 381
Number of unofficial participants: 0
Average score of participants: 65.9
Average score for female students is: 63.5 ( 125 Students)
Average score for male students is: 65.6 ( 239 Students)
Average score for unspecified gender is 88.8 ( 17 Students)
Average score for grade 10 is: 69.2 ( 205 Students)
Average score for grade 9 is: 61.1 ( 166 Students)
Average score for grade 8 and below is: 91.0 ( 5 Students)
Average score with unknown grade: 66.3 ( 5 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 5
Number of schools returning results 16
Average school winning score 101.53
American Mathematics Competitions
2006 AMC 12 B Results for Missouri
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 489
Number of unofficial participants: 0
Average score of participants: 85.9
Average score for female students is: 83.8 ( 136 Students)
Average score for male students is: 86.8 ( 318 Students)
Average score for unspecified gender is 85.8 ( 35 Students)
Average score for grade 12 is: 86.6 ( 201 Students)
Average score for grade 11 is: 84.1 ( 203 Students)
Average score for grade 10 is: 89.5 ( 46 Students)
Average score for grade 9 is: 86.7 ( 13 Students)
Average score for grade 8 and below is: 102.3 ( 3 Students)
Average score with unknown grade: 84.8 ( 23 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 107
Number of schools returning results 22
Average school winning score 111.14
Average school team score 291.80
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
387.5 1 1
379.5 1 2
374.0 1 3
362.5 1 4
360.5 1 5
356.5 2 6
355.0 1 8
353.5 1 9
352.5 1 10
348.5 1 11
348.0 1 12
347.0 2 13
344.5 3 15
341.5 1 18
341.0 1 19
338.5 1 20
336.5 1 21
329.5 1 22
328.5 1 23
327.0 1 24
325.5 2 25
324.5 1 27
322.0 1 28
320.5 1 29
319.5 2 30
318.5 1 32
316.5 1 1 33
311.5 1 35
310.5 3 36
307.0 1 39
306.5 1 40
306.0 1 41
303.5 1 42
302.5 1 43
302.0 1 44
300.0 1 45
298.0 1 46
297.0 1 47
293.0 1 48
292.0 1 49
289.0 1 50
287.5 1 51
285.5 1 52
285.0 1 53
279.0 1 54
277.5 1 55
276.0 1 56
268.5 1 57
266.5 1 58
265.0 1 59
264.0 1 60
258.5 1 61
255.5 1 62
253.5 1 63
245.0 1 64
244.5 1 65
242.5 1 66
217.5 1 67
119.5 1 68
95.0 1 69
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
144.0 3
140.5 1
137.0 1
133.5 2 1
132.5 2
130.0 2 1 1
129.0 2 1
128.5 1 1
127.5 1 1
126.5 1
125.5 1 1
124.0 1
123.0 1 1 1
122.0 1 1
121.5 2
120.5 2 3 1
119.5 5 7 2
119.0 1
118.5 10 2
118.0 1 2
117.0 2
116.0 7 2 3 2
115.5 2
115.0 11 4
114.5 1 3
113.5 8 4 2 1
113.0 1 1
112.5 22 5 2 1
112.0 1
111.5 3 1
111.0 6
110.0 5 4 5 2
109.0 13 3 1 1
108.5 2 3 1
108.0 9 16 1
107.5 4 2 3 1
106.5 29 5
106.0 2
105.5 12 3 1 2
105.0 2 2 5 1
104.5 8 2
104.0 14 1 10
103.5 1
103.0 15 2 4
102.5 1 2
102.0 24 21 6 1
101.5 7 5 3
101.0 7 11 1
100.5 36 1 8
100.0 2
99.5 23 5 5 3
99.0 1 1 7
98.5 9 8 3
98.0 11 10 1
97.5 5 2 3
97.0 15 4 9 4
96.5 2 3 1
96.0 28 18 8
95.5 6 1 6 1
95.0 16 22 4 3
94.5 17 4 7
94.0 3 2 5
93.5 22 3 9 1
93.0 4 12 1
92.5 21 8 13 1
92.0 12 1 12 1
91.5 11 17 6 2
91.0 18 10 2
90.5 3 4 7
90.0 31 11 11 6
89.5 6 6 1
89.0 25 15 10 1
88.5 13 2 11 1
88.0 7 5 7 3
87.5 25 6 25 5
87.0 10 2 5 2
86.5 22 4 14 5
86.0 11 3 19
85.5 19 16 7 3
85.0 16 4 18 5
84.5 12 8 9
84.0 27 4 20 4
83.5 5 1 8 1
83.0 25 22 13 3
82.5 17 2 12 3
82.0 20 5 14 1
81.5 17 1 17 4
81.0 9 5 10 1
80.5 22 6 19 5
80.0 15 19 6
79.5 17 6 17 3
79.0 11 1 17
78.5 19 3 18 1
78.0 23 8 26 4
77.5 12 2 17
77.0 28 7 18 5
76.5 11 2 14 3
76.0 15 6 18 2
75.5 19 2 15 4
75.0 11 4 13 1
74.5 28 4 16 2
74.0 9 1 14
73.5 9 5 13 3
73.0 13 2 15 1
72.5 20 4 19 4
72.0 17 5 27 2
71.5 7 2 10
71.0 29 5 8 5
70.5 10 1 11 1
70.0 9 4 16 6
69.5 11 2 15 3
69.0 11 2 12 1
68.5 17 3 10 1
68.0 8 3 16 2
67.5 10 2 16 3
67.0 13 20 5
66.5 11 2 9 6
66.0 18 5 13 10
65.5 8 1 13 4
65.0 12 4 15 4
64.5 6 2 11 3
64.0 7 2 11 3
63.5 7 2 11 2
63.0 7 1 10 3
62.5 9 3 13 4
62.0 7 12 2
61.5 7 3 8 8
61.0 7 2 11 3
60.5 3 2 11 5
60.0 9 3 19 2
59.5 5 7 1
59.0 7 3 11 5
58.5 4 2 6 3
58.0 2 11 5
57.5 5 7 3
57.0 6 2 8 2
56.5 6 3 5 4
56.0 3 1 11 2
55.5 3 1 5 7
55.0 3 9 2
54.5 1 7 6
54.0 7 2 15 2
53.5 4 4 2
53.0 3 5 7
52.5 1 2 8 1
52.0 4 1 4 2
51.5 4 6 4
51.0 3 1 6
50.5 2 8 9
50.0 2 1 1 4
49.5 3 3 6
49.0 1 2 2
48.5 4 3
48.0 5 3 13 6
47.5 3 5 3
47.0 1 1 3 3
46.5 1 2 3 1
46.0 2 4
45.5 1 2 6
45.0 4 1
44.5 1 3 3 1
44.0 1 3 3
43.5 3 2 2
43.0 2 2 5
42.5 2 2 1
42.0 2 1 11 1
41.5 1 2 3
41.0 1 3
40.5 1 2
40.0 1 4
39.5 1 2 1 2
39.0 2 1
38.5 4
38.0 1
37.0 4
36.5 1 3
36.0 3 2 3 2
35.5 1 2
35.0 1
34.5 1 3
34.0 1 2
33.0 3
32.5 1 1
32.0 1
31.5 2
31.0 1 1
30.5 1 1
30.0 2 4
28.5 2
28.0 1
27.0 1
26.5 1 1
26.0 1
25.5 1
24.0 1 1
23.5 2
23.0 1
18.0 1 1 1
12.0 1
6.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Missouri
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0 1 1
149.5 124.5 99.5 3 2
149.0 124.0 1 99.0 3 2
148.5 123.5 98.5 1 2
148.0 123.0 1 98.0 5 5
147.5 122.5 97.5 2 1
147.0 122.0 97.0 4 4
146.5 121.5 2 96.5 1 2
146.0 121.0 96.0 5 3
145.5 120.5 3 95.5 4 1
145.0 120.0 95.0 3 1
144.5 119.5 2 94.5 4 2
144.0 3 119.0 1 94.0 4 1
143.5 118.5 93.5 5 4
143.0 118.0 1 1 93.0 6 5
142.5 117.5 92.5 6 7
142.0 117.0 2 92.0 5 7
141.5 116.5 91.5 2 4
141.0 116.0 2 91.0 5 5
140.5 1 115.5 2 90.5 6 1
140.0 115.0 90.0 5 3
139.5 114.5 2 1 89.5 4 2
139.0 114.0 89.0 3 7
138.5 113.5 1 88.5 6 4
138.0 113.0 1 88.0 3 3
137.5 112.5 2 87.5 15 9
137.0 112.0 1 87.0 2 1
136.5 111.5 1 86.5 4 10
136.0 111.0 4 2 86.0 13 5
135.5 110.5 85.5 4 3
135.0 110.0 4 1 85.0 12 5
134.5 109.5 84.5 4 5
134.0 109.0 1 84.0 8 10
133.5 108.5 2 1 83.5 3 3
133.0 108.0 1 83.0 9 4
132.5 2 107.5 2 1 82.5 5 5
132.0 107.0 82.0 8 4
131.5 106.5 1 4 81.5 12 4
131.0 106.0 2 81.0 5 4
130.5 105.5 1 80.5 7 12
130.0 1 105.0 4 1 80.0 12 7
129.5 104.5 79.5 9 7
129.0 1 104.0 8 2 79.0 6 11
128.5 1 103.5 1 78.5 8 9
128.0 103.0 2 1 78.0 12 14
127.5 1 102.5 2 77.5 11 4
127.0 102.0 4 2 77.0 13 5
126.5 101.5 5 76.5 8 5
126.0 101.0 1 76.0 9 9
125.5 1 100.5 7 1 75.5 10 4
American Mathematics Competitions
2006 AMC 10 A Results for Missouri
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 5 50.0 1 25.0
74.5 8 8 49.5 2 1 24.5
74.0 6 6 49.0 1 1 24.0 1
73.5 7 6 48.5 3 1 23.5
73.0 7 7 48.0 7 6 23.0
72.5 9 9 47.5 1 3 22.5
72.0 12 12 47.0 3 22.0
71.5 5 4 46.5 1 2 21.5
71.0 4 4 46.0 1 3 21.0
70.5 8 2 45.5 2 20.5
70.0 9 6 45.0 4 20.0
69.5 6 9 44.5 3 19.5
69.0 3 9 44.0 2 19.0
68.5 6 4 43.5 2 18.5
68.0 5 8 43.0 1 18.0 1
67.5 4 11 42.5 1 1 17.5
67.0 13 6 42.0 8 2 17.0
66.5 3 6 41.5 2 16.5
66.0 9 2 41.0 16.0
65.5 4 9 40.5 1 1 15.5
65.0 6 8 40.0 4 15.0
64.5 5 5 39.5 1 14.5
64.0 6 5 39.0 2 14.0
63.5 4 5 38.5 2 2 13.5
63.0 6 4 38.0 1 13.0
62.5 7 6 37.5 12.5
62.0 5 6 37.0 12.0
61.5 5 3 36.5 1 11.5
61.0 5 5 36.0 2 1 11.0
60.5 8 3 35.5 1 10.5
60.0 8 11 35.0 10.0
59.5 2 4 34.5 9.5
59.0 5 5 34.0 1 9.0
58.5 2 4 33.5 8.5
58.0 5 6 33.0 8.0
57.5 1 6 32.5 1 7.5
57.0 6 2 32.0 7.0
56.5 4 1 31.5 2 6.5
56.0 8 3 31.0 6.0
55.5 4 1 30.5 5.5
55.0 3 5 30.0 2 2 5.0
54.5 6 29.5 4.5
54.0 8 7 29.0 4.0
53.5 1 3 28.5 3.5
53.0 1 4 28.0 3.0
52.5 2 5 27.5 2.5
52.0 3 1 27.0 2.0
51.5 4 2 26.5 1.5
51.0 1 5 26.0 1.0
50.5 6 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Missouri
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
144.0 1 1 1
140.5 1
132.5 1 1
130.0 1
129.0 1
128.5 1
127.5 1
125.5 1
124.0 1
123.0 1
121.5 1 1
120.5 2 1
119.5 1 1
119.0 1
118.0 2
117.0 1 1
116.0 1 2
115.5 2
114.5 3
113.5 1 1
113.0 1
112.5 2
112.0 1
111.5 1
111.0 1 1 4
110.0 2 3
109.0 1
108.5 3
108.0 1
107.5 1 1 1
106.5 3 2
106.0 1 1
105.5 1
105.0 1 4
104.0 3 7
103.5 1
103.0 2 2
102.5 2
102.0 1 4 1
101.5 1 2 2
101.0 1
100.5 3 4 1
100.0 2
99.5 3 2
99.0 7
98.5 1 2
98.0 1 5 4
97.5 2 1
97.0 3 6
96.5 1 2
96.0 3 5
95.5 2 4
95.0 4
94.5 1 2 4
94.0 3 2
93.5 3 6
93.0 1 3 8
92.5 1 5 7
92.0 5 7
91.5 1 5
91.0 4 6
90.5 2 5
90.0 2 9
89.5 2 4
89.0 5 5
88.5 3 8
88.0 1 6
87.5 13 12
87.0 2 3
86.5 7 7
86.0 8 11
85.5 4 3
85.0 5 13
84.5 4 5
84.0 8 11 1
83.5 3 5
83.0 7 6
82.5 6 5 1
82.0 5 9
81.5 4 12 1
81.0 1 9
80.5 8 11
80.0 12 7
79.5 2 7 8
79.0 8 9
78.5 5 13
78.0 16 10
77.5 6 10 1
77.0 11 7
76.5 6 8
76.0 7 11
75.5 5 10
75.0 5 8
74.5 6 10
74.0 6 8
73.5 1 3 9
73.0 4 11
72.5 11 7 1
72.0 11 15 1
71.5 6 4
71.0 4 4
70.5 4 7
70.0 9 7
69.5 6 9
69.0 1 4 7
68.5 3 7
68.0 6 10
67.5 10 6
67.0 8 12
66.5 9
66.0 7 6
65.5 5 8
65.0 8 7
64.5 5 6
64.0 5 6
63.5 1 5 5
63.0 3 7
62.5 7 6
62.0 7 5
61.5 2 6
61.0 3 7 1
60.5 3 8
60.0 6 13
59.5 4 3
59.0 4 7
58.5 4 2
58.0 5 6
57.5 5 2
57.0 5 2 1
56.5 2 3
56.0 1 10
55.5 2 3
55.0 4 4 1
54.5 6 1
54.0 7 8
53.5 3 1
53.0 2 3
52.5 5 3
52.0 3 1
51.5 3 3
51.0 1 5
50.5 5 3
50.0 1
49.5 3
49.0 2
48.5 1 3
48.0 7 6
47.5 4 1
47.0 2 1
46.5 2 1
46.0 3 1
45.5 2
45.0 2 2
44.5 2 1
44.0 1 2
43.5 2
43.0 1 1
42.5 1 1
42.0 7 3 1
41.5 1 1
40.5 2
40.0 3 1
39.5 1
39.0 2
38.5 4
38.0 1
36.5 1
36.0 3
35.5 1
34.0 1
32.5 1
31.5 2
30.0 1 1 2
28.0 1
24.0 1
18.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Missouri
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 9.94* 0.01 0.03 0.01 0.00 0.01 0.00
2 1.21 0.22 2.10* 0.16 2.39 3.93 0.00
3 0.04 8.26* 0.07 0.04 1.44 0.13 0.00
4 2.28 0.15 0.08 0.17 6.84* 0.48 0.00
5 0.26 1.29 1.37 6.35* 0.23 0.51 0.00
6 0.22 7.61* 0.46 0.10 0.10 1.51 0.00
7 7.30* 0.08 0.36 0.30 0.29 1.67 0.00
8 0.91 0.56 0.54 0.22 1.99* 5.78 0.00
9 2.08 1.45 4.95* 0.30 0.25 0.97 0.01
10 0.30 0.25 0.68 2.32 0.91* 5.54 0.00
11 1.52 1.43 1.45* 0.62 0.94 4.03 0.00
12 1.09 0.35 4.62* 0.77 0.45 2.71 0.00
13 0.34 1.38 0.31 4.84* 0.20 2.92 0.00
14 1.66 3.58* 0.26 0.99 0.89 2.62 0.00
15 0.99 0.51 0.51 1.29* 0.70 6.01 0.00
16 0.27 0.25 0.36 0.42* 0.76 7.95 0.00
17 1.83* 0.42 0.39 0.51 0.27 6.58 0.00
18 1.99 0.25 2.72* 0.37 0.30 4.36 0.01
19 0.59 1.49 0.68* 0.37 0.23 6.62 0.00
20 0.53 1.26 0.45 0.40 0.62* 6.74 0.00
21 0.74 0.83 0.45 0.64 1.03* 6.30 0.01
22 0.10 0.86 2.94* 3.61 0.95 1.55 0.00
23 0.88 1.26* 0.25 0.28 0.68 6.63 0.01
24 0.86 0.48* 0.39 0.16 0.29 7.81 0.01
25 1.80 0.83 0.65* 0.55 0.37 5.80 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 Missouri
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 14 9
149.0 124.0 99.0 1
148.5 123.5 98.5 5 4
148.0 123.0 1 98.0 8 3
147.5 122.5 97.5 2 3
147.0 122.0 1 97.0 9 5
146.5 121.5 96.5 2
146.0 121.0 96.0 18 9
145.5 120.5 95.5 5
145.0 120.0 95.0 10 6
144.5 119.5 4 1 94.5 11 5
144.0 119.0 94.0 3
143.5 118.5 6 4 93.5 14 8
143.0 118.0 93.0 4
142.5 117.5 92.5 12 9
142.0 117.0 92.0 6 6
141.5 116.5 91.5 7 4
141.0 116.0 5 2 91.0 9 8
140.5 115.5 90.5 2 1
140.0 115.0 9 2 90.0 19 11
139.5 114.5 89.5 4 2
139.0 114.0 89.0 13 12
138.5 113.5 8 88.5 9 2
138.0 113.0 88.0 3 4
137.5 112.5 18 3 87.5 13 12
137.0 1 112.0 87.0 6 4
136.5 111.5 86.5 14 8
136.0 111.0 86.0 7 4
135.5 110.5 85.5 10 8
135.0 110.0 3 85.0 9 7
134.5 109.5 84.5 8 4
134.0 109.0 9 4 84.0 16 10
133.5 108.5 83.5 4 1
133.0 108.0 6 2 83.0 12 11
132.5 107.5 4 82.5 12 5
132.0 107.0 82.0 10 5
131.5 106.5 21 6 81.5 12 5
131.0 106.0 81.0 2 7
130.5 105.5 7 5 80.5 9 13
130.0 105.0 2 80.0 8 7
129.5 104.5 7 1 79.5 6 11
129.0 2 104.0 10 4 79.0 7 4
128.5 103.5 78.5 8 11
128.0 103.0 9 6 78.0 11 12
127.5 102.5 1 77.5 5 6
127.0 102.0 20 4 77.0 19 8
126.5 1 101.5 3 4 76.5 5 5
126.0 101.0 4 3 76.0 6 9
125.5 1 100.5 25 11 75.5 13 6
American Mathematics Competitions
2006 AMC 12 A Results for Missouri
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 9 50.0 2 25.0
74.5 14 14 49.5 1 2 24.5
74.0 2 5 49.0 24.0
73.5 2 7 48.5 23.5
73.0 6 7 48.0 3 2 23.0
72.5 12 8 47.5 1 2 22.5
72.0 10 6 47.0 1 22.0
71.5 5 2 46.5 1 21.5
71.0 18 10 46.0 2 21.0
70.5 6 4 45.5 20.5
70.0 4 5 45.0 20.0
69.5 8 3 44.5 1 19.5
69.0 6 5 44.0 1 19.0
68.5 8 8 43.5 1 2 18.5
68.0 3 5 43.0 2 18.0 1
67.5 5 5 42.5 1 1 17.5
67.0 9 4 42.0 1 17.0
66.5 3 8 41.5 1 16.5
66.0 10 7 41.0 1 16.0
65.5 3 5 40.5 15.5
65.0 7 5 40.0 1 15.0
64.5 5 1 39.5 1 14.5
64.0 2 5 39.0 14.0
63.5 7 38.5 13.5
63.0 3 4 38.0 13.0
62.5 4 5 37.5 12.5
62.0 5 2 37.0 12.0
61.5 3 4 36.5 11.5
61.0 3 4 36.0 3 11.0
60.5 3 35.5 10.5
60.0 2 7 35.0 10.0
59.5 1 4 34.5 1 9.5
59.0 6 1 34.0 9.0
58.5 3 1 33.5 8.5
58.0 2 33.0 8.0
57.5 2 3 32.5 1 7.5
57.0 4 2 32.0 7.0
56.5 2 4 31.5 6.5
56.0 1 2 31.0 6.0
55.5 3 30.5 5.5
55.0 3 30.0 2 5.0
54.5 29.5 4.5
54.0 3 4 29.0 4.0
53.5 1 3 28.5 3.5
53.0 3 28.0 3.0
52.5 1 27.5 2.5
52.0 2 2 27.0 2.0
51.5 1 1 26.5 1 1.5
51.0 2 1 26.0 1.0
50.5 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Missouri
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
137.0 1
129.0 1 1
126.5 1
125.5 1
123.0 1
122.0 1
119.5 2 3
118.5 6 4
116.0 1 6
115.0 9 2
113.5 4 4
112.5 2 8 12
110.0 1 1 2 1
109.0 1 3 9
108.0 1 3 5
107.5 3 1
106.5 2 10 15 2
105.5 1 7 4
105.0 2
104.5 3 5
104.0 6 8
103.0 10 4 1
102.5 1
102.0 2 9 13
101.5 4 3
101.0 4 3
100.5 17 19
99.5 1 1 13 8
99.0 1
98.5 4 5
98.0 5 6
97.5 2 3
97.0 1 10 4
96.5 2
96.0 11 15 2
95.5 2 3 1
95.0 2 7 7
94.5 11 6
94.0 3
93.5 2 11 9
93.0 2 2
92.5 13 8
92.0 4 8
91.5 10 1
91.0 10 8
90.5 1 2
90.0 2 15 13 1
89.5 3 3
89.0 1 1 11 11 1
88.5 6 7
88.0 5 2
87.5 17 8
87.0 1 6 3
86.5 1 1 9 11
86.0 7 4
85.5 8 10 1
85.0 1 7 8
84.5 1 4 7
84.0 2 13 11 1
83.5 2 3
83.0 1 1 13 10
82.5 9 8
82.0 1 13 5 1
81.5 12 5
81.0 1 4 4
80.5 1 11 10
80.0 1 9 5
79.5 1 8 8
79.0 6 5
78.5 7 12
78.0 3 1 9 10
77.5 7 4 1
77.0 11 17
76.5 5 5 1
76.0 1 11 3
75.5 12 7
75.0 1 1 4 5
74.5 3 1 15 9
74.0 5 4
73.5 6 3
73.0 8 5
72.5 2 7 11
72.0 12 4 1
71.5 5 2
71.0 1 15 12 1
70.5 6 4
70.0 1 4 4
69.5 1 7 3
69.0 1 1 5 4
68.5 1 8 8
68.0 6 2
67.5 1 6 3
67.0 2 5 6
66.5 7 4
66.0 1 8 9
65.5 1 5 2
65.0 7 5
64.5 4 2
64.0 3 4
63.5 3 4
63.0 4 3
62.5 8 1
62.0 1 4 2
61.5 5 2
61.0 4 3
60.5 1 2
60.0 1 4 4
59.5 2 3
59.0 1 3 3
58.5 3 1
58.0 1 1
57.5 3 2
57.0 1 4 1
56.5 3 3
56.0 1 2
55.5 1 2
55.0 2 1
54.0 3 3 1
53.5 1 3
53.0 2 1
52.5 1
52.0 2 2
51.5 3 1
51.0 3
50.5 2
50.0 1 1
49.5 1 2
48.0 2 3
47.5 3
47.0 1
46.5 1
46.0 2
44.5 1
44.0 1
43.5 3
43.0 2
42.5 1 1
42.0 2
41.5 1
41.0 1
40.0 1
39.5 1
36.0 2 1
34.5 1
32.5 1
30.0 2
26.5 1
18.0 1
American Mathematics Competitions
2006 AMC 12 A Results for Missouri
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 9.95* 0.01 0.02 0.02 0.00 0.00 0.00
2 1.42 0.12 4.03* 0.11 0.99 3.33 0.00
3 0.08 8.41* 0.05 0.03 1.37 0.05 0.00
4 1.97 0.12 0.03 0.12 7.51* 0.25 0.00
5 0.25 0.65 1.02 7.68* 0.10 0.30 0.00
6 7.36* 0.16 0.37 0.25 0.26 1.59 0.00
7 0.75 4.68* 0.68 0.49 0.43 2.97 0.00
8 0.93 1.39 6.45* 0.20 0.08 0.94 0.00
9 8.03* 0.16 0.10 0.03 0.29 1.38 0.01
10 0.27 0.16 0.69 2.87 1.62* 4.38 0.00
11 1.64 0.80 1.91* 1.07 0.53 4.05 0.00
12 1.53 5.07* 0.17 0.72 0.41 2.10 0.00
13 0.56 0.12 0.19 0.12 5.12* 3.90 0.00
14 0.11 0.52 4.71* 2.52 0.49 1.65 0.00
15 3.21* 1.42 0.27 0.45 1.24 3.41 0.00
16 0.34 3.14* 0.16 0.23 0.66 5.47 0.00
17 0.20 0.58* 0.42 0.22 0.10 8.48 0.00
18 1.23 0.08 0.29 0.50 0.39* 7.50 0.01
19 0.11 0.16 0.14 0.12 0.24* 9.22 0.00
20 1.66 0.46 0.47* 0.27 0.09 7.04 0.00
21 0.07 0.05 0.37 0.12 0.10* 9.28 0.00
22 0.12 0.13 0.15 0.08* 0.05 9.46 0.00
23 0.12 0.08* 0.16 0.09 0.14 9.41 0.00
24 1.04 0.16 0.13 0.12* 0.14 8.40 0.00
25 0.12 0.19 0.12 0.14 0.14* 9.29 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 Missouri
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
148.0 123.0 1 98.0 1
147.5 122.5 97.5
147.0 122.0 97.0 3 1
146.5 121.5 96.5 1
146.0 121.0 96.0
145.5 120.5 95.5 1
145.0 120.0 95.0 2 1
144.5 119.5 94.5
144.0 119.0 94.0
143.5 118.5 93.5 1
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 1 1
141.0 116.0 2 91.0 1 1
140.5 115.5 90.5
140.0 115.0 90.0 4 2
139.5 114.5 89.5 1
139.0 114.0 89.0 1
138.5 113.5 1 88.5 1
138.0 113.0 1 88.0 2 1
137.5 112.5 87.5 2 3
137.0 112.0 87.0 1
136.5 111.5 86.5 2 1
136.0 111.0 86.0
135.5 110.5 85.5 2 1
135.0 110.0 1 85.0 4 1
134.5 109.5 84.5
134.0 109.0 1 84.0 3
133.5 1 108.5 1 83.5 1
133.0 108.0 83.0 3
132.5 107.5 1 82.5 3
132.0 107.0 82.0 1
131.5 106.5 81.5 3 1
131.0 106.0 81.0 1
130.5 105.5 2 80.5 5
130.0 1 105.0 1 80.0 5 1
129.5 104.5 79.5 2 1
129.0 104.0 79.0
128.5 103.5 78.5 1
128.0 103.0 78.0 3
127.5 102.5 77.5
127.0 102.0 1 77.0 4 1
126.5 101.5 1 76.5 1 2
126.0 101.0 76.0 1 1
125.5 100.5 75.5 2 1
American Mathematics Competitions
2006 AMC 10 B Results for Missouri
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 3 1 25.0
74.5 2 49.5 5 1 24.5
74.0 49.0 1 24.0 1
73.5 2 1 48.5 2 1 23.5 1 1
73.0 1 48.0 3 3 23.0
72.5 4 47.5 1 2 22.5
72.0 1 47.0 3 22.0
71.5 46.5 1 21.5
71.0 3 2 46.0 21.0
70.5 1 45.5 4 2 20.5
70.0 3 3 45.0 1 20.0
69.5 2 1 44.5 1 19.5
69.0 1 44.0 2 1 19.0
68.5 1 43.5 1 1 18.5
68.0 2 43.0 4 1 18.0
67.5 2 1 42.5 1 17.5
67.0 2 2 42.0 1 17.0
66.5 3 3 41.5 1 2 16.5
66.0 7 3 41.0 2 1 16.0
65.5 3 1 40.5 15.5
65.0 1 3 40.0 15.0
64.5 2 1 39.5 2 14.5
64.0 2 1 39.0 1 14.0
63.5 1 1 38.5 13.5
63.0 2 1 38.0 13.0
62.5 3 1 37.5 12.5
62.0 1 1 37.0 2 2 12.0 1
61.5 3 5 36.5 2 1 11.5
61.0 2 1 36.0 2 11.0
60.5 4 1 35.5 1 1 10.5
60.0 2 35.0 10.0
59.5 1 34.5 2 1 9.5
59.0 3 2 34.0 1 1 9.0
58.5 2 1 33.5 8.5
58.0 3 2 33.0 1 2 8.0
57.5 3 32.5 7.5
57.0 2 32.0 1 7.0
56.5 2 2 31.5 6.5
56.0 1 1 31.0 1 6.0 1
55.5 5 2 30.5 1 5.5
55.0 1 1 30.0 5.0
54.5 6 29.5 4.5
54.0 2 29.0 4.0
53.5 1 1 28.5 1 1 3.5
53.0 4 3 28.0 3.0
52.5 1 27.5 2.5
52.0 1 1 27.0 1 2.0
51.5 2 2 26.5 1 1.5
51.0 26.0 1 1.0
50.5 5 3 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Missouri
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
133.5 1
130.0 1
128.5 1
123.0 1
120.5 1
116.0 2
113.5 1
113.0 1
112.5 1
110.0 1 1
109.0 1
108.5 1
107.5 1
105.5 1 1
105.0 1
102.0 1
101.5 2 1
99.5 1 1 1
98.0 1
97.0 2 2
96.5 1
95.5 1
95.0 3
93.5 1
93.0 1
92.5 1
92.0 1
91.5 2
91.0 2
90.0 2 4
89.5 1
89.0 1
88.5 1
88.0 1 2
87.5 5
87.0 1 1
86.5 3 2
85.5 1 2
85.0 1 2 2
84.0 2 2
83.5 1
83.0 1 2
82.5 2 1
82.0 1
81.5 2 2
81.0 1
80.5 5
80.0 1 5
79.5 3
78.5 1
78.0 2 1 1
77.0 2 3
76.5 3
76.0 1 1
75.5 1 3
75.0 1
74.5 2
73.5 2 1
73.0 1
72.5 2 2
72.0 1 1
71.0 5
70.5 1
70.0 5 1
69.5 2 1
69.0 1
68.5 1
68.0 2
67.5 1 2
67.0 2 3
66.5 3 3
66.0 6 4
65.5 4
65.0 2 2
64.5 3
64.0 3
63.5 2
63.0 3
62.5 2 2
62.0 1 1
61.5 1 7
61.0 2 1
60.5 3 2
60.0 2
59.5 1
59.0 1 4
58.5 3
58.0 4 1
57.5 3
57.0 1 1
56.5 2 2
56.0 2
55.5 4 3
55.0 2
54.5 5 1
54.0 1 1
53.5 1 1
53.0 3 4
52.5 1
52.0 2
51.5 2 2
50.5 2 7
50.0 4
49.5 3 3
49.0 1 1
48.5 1 2
48.0 5 1
47.5 1 2
47.0 2 1
46.5 1
45.5 2 4
45.0 1
44.5 1
44.0 2 1
43.5 1 1
43.0 2 3
42.5 1
42.0 1
41.5 2 1
41.0 2 1
39.5 1 1
39.0 1
37.0 1 3
36.5 3
36.0 2
35.5 1 1
34.5 2 1
34.0 2
33.0 1 1 1
32.0 1
31.0 1
30.5 1
28.5 2
27.0 1
26.5 1
26.0 1
25.5 1
24.0 1
23.5 1 1
12.0 1
6.0 1
American Mathematics Competitions
2006 AMC 10 B Results for Missouri
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 1.00 0.94 4.59* 1.94 0.76 0.76 0.00
2 4.07* 0.81 0.05 0.26 0.39 4.41 0.00
3 8.16* 0.26 0.08 0.94 0.37 0.18 0.00
4 1.71 2.28 0.45 2.41* 1.94 1.21 0.00
5 0.50 5.30* 2.02 0.39 0.10 1.68 0.00
6 0.31 0.24 3.60 2.81* 0.26 2.78 0.00
7 2.26* 1.42 1.36 1.29 0.52 3.15 0.00
8 1.42 1.08* 0.39 1.23 0.52 5.35 0.00
9 0.16 7.51* 0.29 0.05 1.29 0.71 0.00
10 2.52* 0.55 1.42 0.16 2.10 3.25 0.00
11 0.24 0.84 2.10* 0.47 0.26 6.09 0.00
12 0.34 0.21 0.24 0.42 3.78* 5.01 0.00
13 0.71 0.21 2.55 0.68 2.49* 3.36 0.00
14 0.13 0.00 0.24 0.39* 0.13 9.11 0.00
15 0.79 0.29 1.63* 0.31 0.34 6.64 0.00
16 2.05 0.55 2.13 0.87 1.94* 2.47 0.00
17 3.12 1.26 1.44 2.44* 0.13 1.60 0.00
18 0.60 0.39 0.94 0.26 0.66* 7.14 0.00
19 0.21* 0.37 0.34 0.08 0.21 8.79 0.00
20 0.37 0.18 0.37 0.71 0.60* 7.77 0.00
21 0.58 0.34 0.71* 2.18 0.63 5.56 0.00
22 0.31 0.71 2.05 1.08* 0.16 5.70 0.00
23 0.31 0.84 0.24 0.42* 0.13 8.06 0.00
24 0.16 0.92* 0.55 0.31 0.26 7.80 0.00
25 0.24 2.44* 0.18 1.78 0.29 5.07 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 Missouri
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 4 1
149.0 124.0 99.0 1
148.5 123.5 98.5 7 1
148.0 123.0 98.0
147.5 122.5 97.5 1 1
147.0 122.0 1 97.0 2
146.5 121.5 96.5
146.0 121.0 96.0 11 4
145.5 120.5 2 95.5 1
145.0 120.0 95.0 15 7
144.5 119.5 4 2 94.5 3
144.0 119.0 94.0 2
143.5 118.5 2 93.5 2
143.0 118.0 1 93.0
142.5 117.5 92.5 4 4
142.0 117.0 92.0 1
141.5 116.5 91.5 12 4
141.0 116.0 2 91.0
140.5 115.5 90.5 2 2
140.0 115.0 3 1 90.0 9
139.5 114.5 1 89.5
139.0 114.0 89.0 11 4
138.5 113.5 3 1 88.5 1
138.0 113.0 88.0 4 1
137.5 112.5 3 2 87.5 5
137.0 112.0 87.0 2
136.5 111.5 1 2 86.5 3 1
136.0 111.0 86.0 3
135.5 110.5 85.5 10 6
135.0 110.0 4 85.0 3 1
134.5 109.5 84.5 5 3
134.0 109.0 1 2 84.0 1 3
133.5 2 108.5 2 83.5 1
133.0 108.0 15 1 83.0 12 7
132.5 107.5 2 82.5 2
132.0 107.0 82.0 1 4
131.5 106.5 81.5 1
131.0 106.0 81.0 4 1
130.5 105.5 3 80.5 4 2
130.0 2 105.0 2 80.0
129.5 104.5 2 79.5 2 4
129.0 104.0 1 79.0 1
128.5 103.5 78.5 3
128.0 103.0 1 78.0 4 3
127.5 1 102.5 77.5 1 1
127.0 102.0 12 3 77.0 4 2
126.5 101.5 76.5 1 1
126.0 101.0 8 3 76.0 2 3
125.5 100.5 1 75.5 1 1
American Mathematics Competitions
2006 AMC 12 B Results for Missouri
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 1 50.0 1 25.0
74.5 2 1 49.5 24.5
74.0 1 49.0 1 24.0
73.5 2 3 48.5 23.5
73.0 1 1 48.0 1 1 23.0 1
72.5 2 2 47.5 22.5
72.0 1 2 47.0 1 22.0
71.5 1 1 46.5 2 21.5
71.0 1 3 46.0 21.0
70.5 1 45.5 1 20.5
70.0 4 45.0 20.0
69.5 1 1 44.5 3 19.5
69.0 2 44.0 19.0
68.5 1 2 43.5 18.5
68.0 3 43.0 18.0 1
67.5 1 1 42.5 17.5
67.0 42.0 1 17.0
66.5 1 1 41.5 16.5
66.0 5 41.0 16.0
65.5 1 40.5 1 15.5
65.0 3 1 40.0 15.0
64.5 2 39.5 2 14.5
64.0 2 39.0 14.0
63.5 1 38.5 13.5
63.0 1 38.0 13.0
62.5 2 1 37.5 12.5
62.0 37.0 12.0
61.5 1 2 36.5 11.5
61.0 1 1 36.0 2 11.0
60.5 2 35.5 10.5
60.0 3 35.0 1 10.0
59.5 34.5 9.5
59.0 1 2 34.0 9.0
58.5 1 33.5 8.5
58.0 33.0 8.0
57.5 32.5 7.5
57.0 2 32.0 7.0
56.5 2 1 31.5 6.5
56.0 31.0 1 6.0
55.5 1 30.5 1 5.5
55.0 30.0 5.0
54.5 1 29.5 4.5
54.0 1 29.0 4.0
53.5 28.5 3.5
53.0 28.0 3.0
52.5 2 27.5 2.5
52.0 1 27.0 2.0
51.5 26.5 1.5
51.0 1 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Missouri
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
133.5 1 1
130.0 1 1
127.5 1
122.0 1
120.5 2
119.5 1 1 1 2 2
118.5 1 1
118.0 1
116.0 2
115.0 1 3
114.5 1
113.5 3 1
112.5 2 2 1
111.5 1 2
110.0 4
109.0 1 2
108.5 1 1
108.0 2 4 10
107.5 2
105.5 2 1
105.0 1 1
104.5 1 1
104.0 1
103.0 1 1
102.0 1 8 8 4
101.0 2 6 3
100.5 1
99.5 1 4
99.0 1
98.5 1 3 4
97.5 2
97.0 1 2 1
96.0 5 5 7 1
95.5 1
95.0 1 2 7 12
94.5 3 1
94.0 2
93.5 2 1
92.5 1 4 3
92.0 1
91.5 2 1 8 6
90.5 1 2 1
90.0 3 6 2
89.0 2 6 7
88.5 1 1
88.0 1 4
87.5 5 1
87.0 1 1
86.5 1 3
86.0 1 2
85.5 2 10 4
85.0 3 1
84.5 2 5 1
84.0 4
83.5 1
83.0 2 6 11 3
82.5 2
82.0 1 4
81.5 1
81.0 1 4
80.5 2 4
79.5 4 2
79.0 1
78.5 1 1 1
78.0 5 2 1
77.5 2
77.0 1 2 3 1
76.5 1 1
76.0 1 1 3 1
75.5 1 1
75.0 1 1 2
74.5 1 2 1
74.0 1
73.5 3 2
73.0 1 1
72.5 1 1 2
72.0 3 1 1
71.5 1 1
71.0 1 3 1
70.5 1
70.0 2 2
69.5 1 1
69.0 1 1
68.5 2 1
68.0 1 2
67.5 2
66.5 2
66.0 2 1 2
65.5 1
65.0 1 1 2
64.5 2
64.0 2
63.5 1 1
63.0 1
62.5 1 2
61.5 1 2
61.0 2
60.5 2
60.0 2 1
59.0 3
58.5 1 1
57.0 1 1
56.5 3
56.0 1
55.5 1
54.5 1
54.0 1 1
52.5 1 1
52.0 1
51.0 1
50.0 1
49.0 1
48.0 1 1 1
47.0 1
46.5 2
45.5 1
44.5 2 1
42.0 1
40.5 1
39.5 2
36.0 1 1
35.0 1
31.0 1
30.5 1
23.0 1
18.0 1
American Mathematics Competitions
2006 AMC 12 B Results for Missouri
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 0.29 0.33 7.79* 0.96 0.31 0.33 0.00
2 7.46* 0.39 0.06 0.04 0.27 1.78 0.00
3 8.85* 0.06 0.06 0.70 0.29 0.04 0.00
4 9.30* 0.22 0.10 0.18 0.02 0.16 0.00
5 7.46* 0.72 0.39 0.16 0.14 1.12 0.00
6 0.06 8.79* 0.14 0.04 0.51 0.45 0.00
7 0.43 8.63* 0.31 0.25 0.08 0.31 0.00
8 0.22 0.22 0.33 0.41 6.71* 2.11 0.00
9 0.53 5.03* 0.27 0.51 0.29 3.37 0.00
10 3.37* 0.47 1.21 0.10 2.43 2.41 0.00
11 0.84 0.16 1.19 0.88 4.60* 2.33 0.00
12 0.47 0.39 0.41 0.90* 0.65 7.18 0.00
13 0.57 0.27 2.86* 0.12 0.35 5.83 0.00
14 0.22 0.27 2.00 1.96* 0.10 5.44 0.00
15 0.18 2.35* 0.59 0.33 0.20 6.34 0.00
16 0.14 0.20 1.21* 0.25 0.22 7.98 0.00
17 0.51 0.12 1.35* 1.62 0.47 5.93 0.00
18 0.35 0.74* 1.06 0.39 0.25 7.22 0.00
19 0.12 2.29* 0.20 1.29 0.27 5.83 0.00
20 0.25 0.29 0.20* 0.14 0.45 8.67 0.00
21 0.14 0.16 0.25* 0.08 0.08 9.28 0.00
22 0.22 0.22* 0.29 0.08 0.06 9.12 0.00
23 0.25 0.22 0.31 0.22 0.08* 8.92 0.00
24 0.06 0.12 0.16* 0.18 0.02 9.45 0.00
25 0.12 0.22* 0.25 0.20 0.12 9.08 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column