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Missing Title
American Mathematics Competitions
2006 AMC 10 A Results for Ontario
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 386
Number of unofficial participants: 0
Average score of participants: 85.5
Average score for female students is: 84.7 ( 106 Students)
Average score for male students is: 86.3 ( 255 Students)
Average score for unspecified gender is 81.2 ( 25 Students)
Average score for grade 10 is: 86.1 ( 226 Students)
Average score for grade 9 is: 84.7 ( 126 Students)
Average score for grade 8 and below is: 93.8 ( 20 Students)
Average score with unknown grade: 72.0 ( 14 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 15
Number of schools returning results 14
Average school winning score 116.68
American Mathematics Competitions
2006 AMC 12 A Results for Ontario
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 647
Number of unofficial participants: 0
Average score of participants: 93.3
Average score for female students is: 91.3 ( 186 Students)
Average score for male students is: 94.2 ( 434 Students)
Average score for unspecified gender is 92.9 ( 27 Students)
Average score for grade 12 is: 95.1 ( 304 Students)
Average score for grade 11 is: 92.1 ( 242 Students)
Average score for grade 10 is: 90.8 ( 61 Students)
Average score for grade 9 is: 90.7 ( 26 Students)
Average score for grade 8 and below is: 108.0 ( 3 Students)
Average score with unknown grade: 84.2 ( 11 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 247
Number of schools returning results 18
Average school winning score 120.44
Average school team score 346.92
American Mathematics Competitions
2006 AMC 10 B Results for Ontario
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 590
Number of unofficial participants: 0
Average score of participants: 70.6
Average score for female students is: 64.7 ( 247 Students)
Average score for male students is: 75.9 ( 303 Students)
Average score for unspecified gender is 66.0 ( 40 Students)
Average score for grade 10 is: 71.9 ( 444 Students)
Average score for grade 9 is: 66.9 ( 128 Students)
Average score for grade 8 and below is: 88.3 ( 2 Students)
Average score with unknown grade: 59.5 ( 16 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 19
Number of schools returning results 24
Average school winning score 108.71
American Mathematics Competitions
2006 AMC 12 B Results for Ontario
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 977
Number of unofficial participants: 0
Average score of participants: 92.4
Average score for female students is: 89.8 ( 368 Students)
Average score for male students is: 94.4 ( 571 Students)
Average score for unspecified gender is 87.3 ( 38 Students)
Average score for grade 13 is: 120.3 ( 3 Students)
Average score for grade 12 is: 92.5 ( 518 Students)
Average score for grade 11 is: 90.9 ( 368 Students)
Average score for grade 10 is: 98.5 ( 59 Students)
Average score for grade 9 is: 102.8 ( 12 Students)
Average score for grade 8 and below is: 120.0 ( 2 Students)
Average score with unknown grade: 86.0 ( 15 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 359
Number of schools returning results 40
Average school winning score 118.15
Average school team score 330.50
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
404.0 2 1
386.5 1 3
385.5 1 4
383.5 1 5
382.0 1 6
379.5 1 7
379.0 1 8
376.0 1 9
373.5 1 10
373.0 1 11
370.5 1 1 12
370.0 1 14
367.5 1 15
365.5 1 16
363.5 1 17
362.5 1 18
362.0 1 19
361.0 1 20
357.0 1 21
355.5 1 22
355.0 1 23
346.5 1 24
345.0 2 25
342.5 1 27
342.0 1 28
341.5 1 1 29
340.0 1 31
337.5 1 32
335.5 1 33
335.0 1 34
334.5 1 35
333.0 2 36
332.0 1 38
331.5 1 39
329.5 1 40
328.5 2 41
328.0 1 43
325.0 1 44
311.5 1 45
310.5 1 46
310.0 1 47
309.0 1 48
307.5 1 49
305.0 1 50
290.5 1 51
290.0 1 52
285.0 1 53
276.5 1 54
252.5 1 55
241.0 1 56
238.0 1 57
95.0 1 58
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 1 1
144.0 1 1
143.0 1 1
140.5 1
138.0 1 1
137.0 1 1 1 2
136.0 1 2 1 1
134.5 1 1
133.5 1
132.5 1
132.0 1 1
131.0 1 1
130.0 1 3 1 1
129.0 1 3 1
127.5 1 1
126.5 3 5 1 2
126.0 1 1 1 2
125.5 3 8
125.0 1
124.0 2 3
123.0 3 9 2
122.5 1
122.0 3 12 1
121.5 2
120.5 2 6 2
119.5 5 11 1
119.0 1
118.5 13 14 1
118.0 6 2 2
117.0 4 7
116.5 1
116.0 7 11 1 1
115.5 1 1 1
115.0 6 8 1
114.5 5 3 2 3
114.0 3
113.5 4 11 3
113.0 1
112.5 18 22 1
112.0 1 2 2
111.5 2 13 1
111.0 6 9 3 1
110.5 1
110.0 27 7 4 2
109.5 1 3
109.0 8 17 3
108.5 2 1 5
108.0 4 17 1 1
107.5 13 2 3 4
107.0 2 1
106.5 12 12 2 1
106.0 1 1 2
105.5 9 20 6
105.0 4 4 3 4
104.5 1 12 2 1
104.0 15 10 4 4
103.5 1
103.0 16 17 1 3
102.5 1 3 3
102.0 10 26 2 2
101.5 9 5 5 3
101.0 6 21 2
100.5 15 9 4 1
100.0 2 5 2
99.5 12 15 1 4
99.0 2 2 7
98.5 5 21 2 2
98.0 9 2 5 1
97.5 2 2 3 1
97.0 9 11 6 2
96.5 1 1 6 3
96.0 10 23 3 2
95.5 5 9 7 2
95.0 4 30 4 2
94.5 12 6 2 4
94.0 2 1 1 1
93.5 19 9 3 2
93.0 1 3 1 2
92.5 9 22 3 3
92.0 9 9 3 1
91.5 8 6 4 3
91.0 9 5 4 5
90.5 3 5 1
90.0 9 18 6 2
89.5 4 4 2 4
89.0 9 31 7 5
88.5 4 3 3 4
88.0 1 10 1
87.5 8 14 6 9
87.0 2 2 4 3
86.5 10 16 1 4
86.0 11 4 5 4
85.5 2 8 2 2
85.0 12 5 4 4
84.5 2 8 1 3
84.0 13 6 3
83.5 5 2 3 2
83.0 10 13 7 6
82.5 8 5 2 7
82.0 1 6 2 1
81.5 5 9 5 3
81.0 2 3 3 2
80.5 9 9 5 4
80.0 7 3 8 5
79.5 7 13 4 5
79.0 6 7 1 6
78.5 4 5 2 5
78.0 6 11 3 5
77.5 4 2 3 5
77.0 10 15 5 1
76.5 6 5 5 4
76.0 3 6 5 7
75.5 5 5 3 4
75.0 3 5 1 1
74.5 4 16 4 4
74.0 5 4 3 5
73.5 4 7 3 5
73.0 1 4 2 4
72.5 6 5 4
72.0 9 10 4 6
71.5 1 4 6 1
71.0 2 12 2 6
70.5 5 8 1 4
70.0 2 1 1 5
69.5 2 7 3 6
69.0 2 4 3 6
68.5 5 5 3 3
68.0 3 5 3 4
67.5 3 2 5
67.0 1 6 3 6
66.5 1 4 2 6
66.0 2 13 1 8
65.5 3 3
65.0 2 6 3 7
64.5 1 4 2 8
64.0 1 2 3
63.5 1 2 3 3
63.0 1 1 3
62.5 2 2 3 1
62.0 2 1 4
61.5 1 2 6
61.0 1 2 3 2
60.5 1 3 1 1
60.0 2 1 4 7
59.5 1 1 2 3
59.0 1 5 1 7
58.5 1 4 7
58.0 2 2
57.5 2 1 8
57.0 2 1 3
56.5 1 3 3 5
56.0 2 3 8
55.5 2 5
55.0 2 1 8
54.5 1 5
54.0 1 8
53.5 5 2 8
53.0 2 4
52.5 2 4
52.0 1 1
51.5 4
51.0 2 2
50.5 1 10
50.0 1 2
49.5 3
49.0 7
48.5 5
48.0 4 2 7 9
47.5 1 2 7
47.0 4
46.5 2
46.0 3
45.5 4
45.0 1
44.5 1 2
44.0 2
43.5 1 2
43.0 3
42.5 3 1 2
42.0 1 3
41.5 3
41.0 4
40.5 1 2
40.0 1
39.5 1 1
39.0 1 1 2
38.5 1 4
38.0 1 1
37.5 1 1
37.0 3
36.5 1 1
36.0 2 1 13
35.5 1 2
35.0 1
34.5 1 2
33.0 1 1
30.0 8
29.5 1
28.0 1
26.5 1
24.0 1 2
23.0 1
22.5 1
18.0 2
12.0 1
6.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0 5
149.5 124.5 99.5 1
149.0 124.0 99.0 5 2
148.5 123.5 98.5 1 1
148.0 123.0 98.0 4 1
147.5 122.5 97.5 1 2
147.0 122.0 1 97.0 5 1
146.5 121.5 96.5 2 4
146.0 121.0 96.0 2
145.5 120.5 2 95.5 3 4
145.0 120.0 95.0 1 2
144.5 119.5 94.5 1 1
144.0 119.0 1 94.0 1
143.5 118.5 93.5 2 1
143.0 1 118.0 1 93.0 1
142.5 117.5 92.5 3
142.0 117.0 92.0 2 1
141.5 116.5 1 91.5 4
141.0 116.0 1 91.0 3 1
140.5 115.5 1 90.5 3 1
140.0 115.0 90.0 4 2
139.5 114.5 2 89.5
139.0 114.0 3 89.0 4 2
138.5 113.5 88.5 2 1
138.0 113.0 88.0 1
137.5 112.5 87.5 5 1
137.0 1 112.0 1 1 87.0 2 1
136.5 111.5 1 86.5 1
136.0 1 111.0 3 86.0 2 3
135.5 110.5 85.5 1 1
135.0 110.0 2 1 85.0 3 1
134.5 109.5 3 84.5 1
134.0 109.0 2 1 84.0 2
133.5 108.5 1 83.5 1 2
133.0 108.0 1 83.0 4 3
132.5 1 107.5 2 82.5 1 1
132.0 1 107.0 2 82.0 1 1
131.5 106.5 2 81.5 2 3
131.0 1 106.0 1 81.0 1 1
130.5 105.5 3 3 80.5 3 2
130.0 1 105.0 2 1 80.0 2 6
129.5 104.5 2 79.5 3 1
129.0 1 104.0 2 2 79.0 1
128.5 103.5 78.5 1 1
128.0 103.0 1 78.0 3
127.5 1 102.5 2 1 77.5 3
127.0 102.0 1 1 77.0 4 1
126.5 1 101.5 3 2 76.5 3 2
126.0 1 101.0 1 1 76.0 1 3
125.5 100.5 2 2 75.5 3
American Mathematics Competitions
2006 AMC 10 A Results for Ontario
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 1 2 49.5 24.5
74.0 3 49.0 24.0 1
73.5 2 1 48.5 23.5
73.0 2 48.0 4 2 23.0
72.5 2 2 47.5 22.5
72.0 1 3 47.0 22.0
71.5 5 1 46.5 21.5
71.0 1 46.0 21.0
70.5 1 45.5 20.5
70.0 1 45.0 20.0
69.5 3 44.5 19.5
69.0 3 44.0 19.0
68.5 3 43.5 1 18.5
68.0 3 43.0 18.0
67.5 1 1 42.5 1 17.5
67.0 2 1 42.0 1 17.0
66.5 2 41.5 16.5
66.0 1 41.0 16.0
65.5 40.5 15.5
65.0 3 40.0 15.0
64.5 1 1 39.5 14.5
64.0 39.0 14.0
63.5 3 38.5 1 13.5
63.0 1 38.0 1 13.0
62.5 1 2 37.5 12.5
62.0 1 37.0 12.0
61.5 1 1 36.5 11.5
61.0 2 36.0 1 11.0
60.5 1 35.5 10.5
60.0 3 1 35.0 10.0
59.5 2 34.5 9.5
59.0 34.0 9.0
58.5 33.5 8.5
58.0 33.0 8.0
57.5 1 32.5 7.5
57.0 1 32.0 7.0
56.5 2 31.5 6.5
56.0 2 1 31.0 6.0
55.5 1 30.5 5.5
55.0 1 30.0 5.0
54.5 29.5 4.5
54.0 1 29.0 4.0
53.5 2 28.5 3.5
53.0 1 1 28.0 3.0
52.5 27.5 2.5
52.0 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
2006 AMC 10 A Results for Ontario
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
143.0 1
137.0 1
136.0 1
132.5 1
132.0 1
131.0 1
130.0 1
129.0 1
127.5 1
126.5 1
126.0 1
122.0 1
120.5 2
119.0 1
118.0 1 1
116.5 1
116.0 1
115.5 1
115.0 1
114.5 2
114.0 1 2
113.0 1
112.0 2
111.5 1
111.0 1 1 1
110.0 1 3
109.5 2 1
109.0 1 2
108.5 1
108.0 1
107.5 3
107.0 1 1
106.5 1 1
106.0 1
105.5 2 1 3
105.0 1 2
104.5 1 1
104.0 3 1
103.0 1
102.5 1 1 1
102.0 1 1
101.5 1 2 2
101.0 2
100.5 4
100.0 1 4
99.5 1
99.0 3 4
98.5 1 1
98.0 1 4
97.5 1 2
97.0 2 4
96.5 6
96.0 1 2
95.5 3 4
95.0 4
94.5 2
94.0 1
93.5 2 1
93.0 1
92.5 2 1
92.0 2 1
91.5 1 3
91.0 1 2 1
90.5 1 4
90.0 1 4 1
89.5 1 1
89.0 1 5 1
88.5 1 2
88.0 1
87.5 1 5
87.0 1 3
86.5 1
86.0 3 2
85.5 1 1
85.0 3 1
84.5 1
84.0 1 2
83.5 3
83.0 1 3 3
82.5 2
82.0 2
81.5 2 2 1
81.0 2 1
80.5 3 2
80.0 1 7
79.5 1 3
79.0 1
78.5 1 1
78.0 1 2
77.5 1 2
77.0 1 3 1
76.5 1 1 3
76.0 2 2 1
75.5 2 1
75.0 1
74.5 2 2
74.0 3
73.5 3
73.0 1 1
72.5 4 1
72.0 2 1 1
71.5 2 1 3
71.0 1 1
70.5 1
70.0 1
69.5 1 2
69.0 3
68.5 2 1
68.0 1 2
67.5 2
67.0 1 2
66.5 1 1
66.0 1
65.0 2 1
64.5 2
63.5 1 2
63.0 1
62.5 1 2
62.0 1
61.5 2
61.0 2 1
60.5 1
60.0 2 2
59.5 1 1
59.0 1
57.5 1
57.0 1
56.5 2 1
56.0 2 1
55.5 1 1
55.0 1
54.5 1
54.0 1
53.5 2
53.0 2
51.0 1 1
50.5 1
50.0 1
48.0 1 6
43.5 1
42.5 1
42.0 1
38.5 1
38.0 1
36.5 1
36.0 1
24.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Ontario
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 9.87* 0.03 0.00 0.05 0.00 0.05 0.00
2 1.42 0.23 5.03* 0.26 1.24 1.81 0.00
3 0.00 8.73* 0.18 0.08 0.91 0.10 0.00
4 2.23 0.13 0.13 0.23 7.10* 0.18 0.00
5 0.10 0.52 1.19 7.62* 0.21 0.36 0.00
6 0.26 8.11* 0.36 0.18 0.16 0.93 0.00
7 7.67* 0.18 0.44 0.28 0.13 1.30 0.00
8 1.24 0.39 0.54 0.31 3.11* 4.40 0.00
9 0.80 1.58 6.74* 0.31 0.21 0.36 0.00
10 0.31 0.31 0.88 3.45 1.79* 3.26 0.00
11 1.40 1.42 1.99* 1.01 0.83 3.34 0.00
12 0.36 0.49 6.37* 0.85 0.39 1.53 0.00
13 0.41 1.04 0.31 5.91* 0.13 2.20 0.00
14 1.63 5.44* 0.31 0.73 0.28 1.61 0.00
15 0.73 0.49 0.44 2.72* 0.47 5.16 0.00
16 0.31 0.41 1.01 0.88* 0.98 6.40 0.00
17 3.55* 0.34 0.18 0.41 0.28 5.23 0.00
18 1.50 0.13 3.42* 0.47 0.16 4.33 0.00
19 0.47 1.35 1.42* 0.65 0.26 5.85 0.00
20 0.54 1.35 0.41 0.44 1.22* 6.04 0.00
21 0.88 0.83 0.47 0.93 1.71* 5.18 0.00
22 0.16 1.17 4.97* 1.92 0.34 1.45 0.00
23 0.31 2.44* 0.23 0.41 0.85 5.75 0.00
24 0.57 0.49* 0.70 0.28 0.44 7.51 0.00
25 1.50 0.93 0.83* 0.54 0.28 5.91 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 A Results for Ontario
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 7 5
149.0 124.0 2 99.0 1 1
148.5 123.5 98.5 2 2
148.0 123.0 1 1 98.0 5 3
147.5 122.5 97.5 2
147.0 122.0 2 1 97.0 5 4
146.5 121.5 96.5
146.0 121.0 96.0 8 2
145.5 120.5 1 1 95.5 4 1
145.0 120.0 95.0 3 1
144.5 119.5 2 1 94.5 9 2
144.0 119.0 94.0 2
143.5 118.5 7 5 93.5 14 5
143.0 118.0 93.0 1
142.5 117.5 92.5 3 5
142.0 117.0 4 92.0 8 1
141.5 116.5 91.5 3 5
141.0 116.0 4 3 91.0 6 3
140.5 115.5 90.5
140.0 115.0 5 1 90.0 7 2
139.5 114.5 3 1 89.5 2 2
139.0 114.0 89.0 7 2
138.5 113.5 3 1 88.5 2 2
138.0 113.0 88.0 1
137.5 112.5 14 3 87.5 5 3
137.0 1 112.0 1 87.0 1 1
136.5 111.5 2 86.5 7 2
136.0 1 111.0 3 2 86.0 9 1
135.5 110.5 85.5 1 1
135.0 110.0 20 6 85.0 9 3
134.5 109.5 84.5 2
134.0 109.0 6 2 84.0 10 3
133.5 108.5 2 83.5 4 1
133.0 108.0 2 2 83.0 3 7
132.5 107.5 11 1 82.5 5 3
132.0 107.0 82.0 1
131.5 106.5 10 1 81.5 3 2
131.0 106.0 81.0 2
130.5 105.5 4 5 80.5 5 4
130.0 1 105.0 3 1 80.0 5 2
129.5 104.5 1 79.5 4 3
129.0 1 104.0 14 1 79.0 5 1
128.5 103.5 78.5 1 1
128.0 103.0 10 6 78.0 4 2
127.5 102.5 1 77.5 3 1
127.0 102.0 6 4 77.0 6 4
126.5 3 101.5 8 1 76.5 2 4
126.0 1 101.0 5 76.0 3
125.5 3 100.5 13 2 75.5 2 3
American Mathematics Competitions
2006 AMC 12 A Results for Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 1 50.0 25.0
74.5 4 49.5 24.5
74.0 4 1 49.0 24.0
73.5 2 2 48.5 23.5
73.0 1 48.0 3 1 23.0
72.5 47.5 1 22.5
72.0 5 2 47.0 22.0
71.5 1 46.5 21.5
71.0 2 46.0 21.0
70.5 4 1 45.5 20.5
70.0 2 45.0 20.0
69.5 2 44.5 1 19.5
69.0 1 1 44.0 19.0
68.5 4 1 43.5 18.5
68.0 1 2 43.0 18.0
67.5 1 2 42.5 17.5
67.0 1 42.0 17.0
66.5 1 41.5 16.5
66.0 1 1 41.0 16.0
65.5 2 1 40.5 15.5
65.0 1 1 40.0 15.0
64.5 1 39.5 1 14.5
64.0 39.0 1 14.0
63.5 1 38.5 13.5
63.0 1 38.0 13.0
62.5 37.5 1 12.5
62.0 37.0 12.0
61.5 36.5 11.5
61.0 36.0 11.0
60.5 1 35.5 10.5
60.0 1 35.0 10.0
59.5 1 34.5 9.5
59.0 1 34.0 9.0
58.5 1 33.5 8.5
58.0 33.0 8.0
57.5 2 32.5 7.5
57.0 32.0 7.0
56.5 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 2 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Ontario
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 1
137.0 1
136.0 1
130.0 1
129.0 1
126.5 2 1
126.0 1
125.5 2 1
124.0 2
123.0 2 1
122.0 3
120.5 2
119.5 3 2
118.5 1 6 6
117.0 2 2
116.0 3 4
115.0 1 3 2
114.5 2 3
113.5 2 2
112.5 1 4 13
112.0 1
111.5 2
111.0 1 5
110.0 1 2 9 15
109.0 1 3 2 2
108.5 1 1
108.0 2 2
107.5 2 11
106.5 1 4 6 1
105.5 1 1 3 4
105.0 4
104.5 1
104.0 1 7 7
103.0 1 10 5
102.5 1
102.0 1 2 1 6
101.5 1 8
101.0 1 1 1 2 1
100.5 1 2 2 10
100.0 1 1
99.5 2 6 4
99.0 1 1
98.5 1 1 3
98.0 1 3 5
97.5 2
97.0 1 4 4
96.5 1
96.0 1 3 4 2
95.5 1 4
95.0 1 3
94.5 2 2 7 1
94.0 1 1
93.5 1 9 9
93.0 1
92.5 2 3 4
92.0 3 5 1
91.5 3 2 1 1 1
91.0 1 5 2 1
90.0 7 2
89.5 1 3
89.0 1 3 3 2
88.5 4
88.0 1
87.5 1 3 4
87.0 1 1
86.5 1 2 4 3
86.0 1 6 3 1
85.5 1 1
85.0 1 5 6
84.5 2
84.0 5 8
83.5 2 3
83.0 2 5 3
82.5 1 3 4
82.0 1
81.5 1 1 3
81.0 2
80.5 2 1 5 1
80.0 2 5
79.5 2 3 2
79.0 1 1 4
78.5 1 1 1 1
78.0 2 1 3
77.5 1 3
77.0 1 3 6
76.5 1 5
76.0 1 2
75.5 3 2
75.0 1 1 1
74.5 1 1 2
74.0 3 2
73.5 2 2
73.0 1
72.0 1 4 4
71.5 1
71.0 1 1
70.5 1 1 2 1
70.0 1 1
69.5 2
69.0 1 1
68.5 1 1 3
68.0 1 2
67.5 2 1
67.0 1
66.5 1
66.0 1 1
65.5 1 2
65.0 1 1
64.5 1
64.0 1
63.5 1
63.0 1
62.5 2
61.0 1
60.5 1
60.0 1 1
59.5 1
59.0 1
58.5 1
57.5 2
56.5 1
52.5 2
48.0 1 3
47.5 1
44.5 1
39.5 1
39.0 1
37.5 1
American Mathematics Competitions
2006 AMC 12 A Results for Ontario
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 9.97* 0.00 0.00 0.00 0.00 0.03 0.00
2 1.39 0.12 7.00* 0.02 0.32 1.14 0.00
3 0.03 9.23* 0.00 0.00 0.70 0.05 0.00
4 1.84 0.11 0.05 0.05 7.74* 0.22 0.00
5 0.08 0.53 0.60 8.41* 0.08 0.31 0.00
6 8.22* 0.03 0.26 0.28 0.28 0.93 0.00
7 0.80 6.18* 0.54 0.68 0.42 1.38 0.00
8 0.34 1.00 8.04* 0.22 0.06 0.34 0.00
9 8.72* 0.17 0.08 0.02 0.23 0.79 0.00
10 0.09 0.08 0.73 4.05 3.28* 1.78 0.00
11 1.50 0.94 3.43* 0.96 0.73 2.44 0.00
12 1.13 6.83* 0.20 0.42 0.11 1.31 0.00
13 0.29 0.09 0.22 0.09 7.23* 2.07 0.00
14 0.11 0.56 6.57* 1.17 0.19 1.41 0.00
15 3.86* 0.97 0.15 0.62 1.56 2.83 0.00
16 0.15 5.81* 0.15 0.25 0.37 3.26 0.00
17 0.15 1.00* 0.56 0.28 0.08 7.93 0.00
18 1.25 0.06 0.23 0.57 0.59* 7.30 0.00
19 0.09 0.22 0.19 0.17 0.43* 8.90 0.00
20 0.96 0.40 1.24* 0.31 0.20 6.89 0.00
21 0.11 0.15 0.22 0.09 0.32* 9.10 0.00
22 0.11 0.08 0.11 0.22* 0.05 9.44 0.00
23 0.09 0.19* 0.09 0.17 0.08 9.38 0.00
24 0.56 0.08 0.31 0.31* 0.06 8.69 0.00
25 0.15 0.08 0.15 0.12 0.11* 9.38 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 Ontario
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 4
149.0 124.0 99.0
148.5 123.5 98.5 1 1
148.0 123.0 2 98.0
147.5 122.5 1 97.5 1
147.0 122.0 97.0 2
146.5 121.5 96.5 2 1
146.0 121.0 96.0 2
145.5 120.5 95.5 1 1
145.0 120.0 95.0 1 1
144.5 119.5 1 94.5 3
144.0 1 119.0 94.0 1
143.5 118.5 1 93.5 1 1
143.0 1 118.0 2 93.0 2
142.5 117.5 92.5 3
142.0 117.0 92.0 1
141.5 116.5 91.5 2
141.0 116.0 1 91.0 2 3
140.5 1 115.5 1 90.5 1
140.0 115.0 90.0 2
139.5 114.5 2 1 89.5 2 2
139.0 114.0 89.0 2 3
138.5 113.5 2 88.5 1 3
138.0 1 113.0 88.0
137.5 112.5 1 87.5 7 1
137.0 1 1 112.0 2 87.0 3
136.5 111.5 86.5 2 1
136.0 1 111.0 1 86.0 2 2
135.5 110.5 85.5 1
135.0 110.0 2 85.0 1 3
134.5 1 109.5 84.5 3
134.0 109.0 84.0
133.5 108.5 4 83.5 2
133.0 108.0 1 83.0 2 3
132.5 107.5 4 82.5 4 1
132.0 107.0 1 82.0 1
131.5 106.5 1 81.5 2 1
131.0 1 106.0 2 81.0 2
130.5 105.5 80.5 4
130.0 1 105.0 2 2 80.0 1 3
129.5 104.5 1 79.5 2 3
129.0 104.0 3 1 79.0 4 1
128.5 103.5 1 78.5 2 3
128.0 103.0 2 1 78.0 4
127.5 1 102.5 2 1 77.5 3 1
127.0 102.0 1 77.0 1
126.5 1 1 101.5 1 2 76.5 1 3
126.0 1 101.0 76.0 4 3
125.5 100.5 1 75.5 1 2
American Mathematics Competitions
2006 AMC 10 B Results for Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 1 1 25.0
74.5 1 3 49.5 3 24.5
74.0 3 2 49.0 3 4 24.0 1
73.5 3 2 48.5 3 2 23.5
73.0 1 3 48.0 3 5 23.0 1
72.5 1 3 47.5 4 2 22.5 1
72.0 4 2 47.0 1 3 22.0
71.5 1 46.5 1 1 21.5
71.0 1 4 46.0 2 21.0
70.5 2 2 45.5 2 2 20.5
70.0 3 2 45.0 1 20.0
69.5 3 2 44.5 19.5
69.0 3 2 44.0 2 19.0
68.5 3 43.5 2 18.5
68.0 2 1 43.0 1 2 18.0 1
67.5 2 3 42.5 1 17.5
67.0 4 2 42.0 1 2 17.0
66.5 3 3 41.5 1 2 16.5
66.0 6 2 41.0 1 3 16.0
65.5 3 40.5 2 15.5
65.0 2 5 40.0 1 15.0
64.5 5 3 39.5 1 14.5
64.0 1 2 39.0 2 14.0
63.5 2 1 38.5 1 2 13.5
63.0 2 1 38.0 13.0
62.5 1 37.5 1 12.5
62.0 1 3 37.0 3 12.0
61.5 4 2 36.5 1 11.5
61.0 1 1 36.0 6 4 11.0
60.5 1 35.5 1 10.5
60.0 3 4 35.0 1 10.0
59.5 3 34.5 2 9.5
59.0 1 5 34.0 9.0
58.5 5 2 33.5 8.5
58.0 1 33.0 1 8.0
57.5 4 3 32.5 7.5
57.0 2 1 32.0 7.0
56.5 3 2 31.5 6.5
56.0 3 5 31.0 6.0 1
55.5 3 2 30.5 5.5
55.0 4 4 30.0 4 3 5.0
54.5 1 4 29.5 1 4.5
54.0 2 4 29.0 4.0
53.5 5 3 28.5 3.5
53.0 3 1 28.0 1 3.0
52.5 2 2 27.5 2.5
52.0 1 27.0 2.0
51.5 4 26.5 1 1.5
51.0 1 1 26.0 1.0
50.5 2 8 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Ontario
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
144.0 1
143.0 1
140.5 1
138.0 1
137.0 2
136.0 1
134.5 1
131.0 1
130.0 1
127.5 1
126.5 1 1
126.0 2
123.0 1 1
122.5 1
119.5 1
118.5 1
118.0 2
116.0 1
115.5 1
114.5 1 2
113.5 3
112.5 1
112.0 2
111.0 1
110.0 2
108.5 1 4
108.0 1
107.5 4
107.0 1
106.5 1
106.0 2
105.0 1 3
104.5 1
104.0 4
103.5 1
103.0 3
102.5 3
102.0 1 1
101.5 3
100.5 1
100.0 2
99.5 1 3
98.5 2
98.0 1
97.5 1
97.0 2
96.5 1 2
96.0 2
95.5 1 1
95.0 1 1
94.5 4
94.0 1
93.5 2
93.0 2
92.5 3
92.0 1
91.5 2 1
91.0 1 4
90.5 1
90.0 2
89.5 4
89.0 2 3
88.5 1 3
87.5 2 7
87.0 3
86.5 2 1 1
86.0 1 3
85.5 2
85.0 1 3
84.5 3
83.5 1 1
83.0 5 1
82.5 3 4
82.0 1
81.5 3
81.0 2
80.5 1 3
80.0 1 4
79.5 2 3
79.0 2 4
78.5 1 4
78.0 2 3
77.5 2 2 1
77.0 1
76.5 4
76.0 2 5
75.5 1 2 1
75.0 1
74.5 1 3
74.0 5
73.5 1 3 1
73.0 1 3
72.5 1 3
72.0 1 5
71.5 1
71.0 1 5
70.5 4
70.0 5
69.5 1 1 4
69.0 5 1
68.5 3
68.0 1 3
67.5 5
67.0 1 5
66.5 2 4
66.0 3 5
65.5 2 1
65.0 3 4
64.5 2 6
64.0 1 2
63.5 1 2
63.0 1 2
62.5 1
62.0 4
61.5 3 3
61.0 2
60.5 1
60.0 3 4
59.5 3
59.0 4 3
58.5 3 4
58.0 2
57.5 1 6 1
57.0 3
56.5 5
56.0 2 6
55.5 2 3
55.0 4 4
54.5 1 4
54.0 2 5 1
53.5 3 5
53.0 1 3
52.5 4
52.0 1
51.5 1 3
51.0 1 1
50.5 9 1
50.0 2
49.5 2 1
49.0 7
48.5 2 3
48.0 3 5 1
47.5 1 6
47.0 1 3
46.5 1 1
46.0 1 2
45.5 1 3
45.0 1
44.0 1 1
43.5 2
43.0 3
42.5 2
42.0 1 2
41.5 3
41.0 2 2
40.5 2
40.0 1
39.5 1
39.0 2
38.5 1 3
37.5 1
37.0 3
36.5 1
36.0 5 8
35.5 2
35.0 1
34.5 2
33.0 1
30.0 2 5 1
29.5 1
28.0 1
26.5 1
24.0 1 1
23.0 1
22.5 1
18.0 2
12.0 1
6.0 1
American Mathematics Competitions
2006 AMC 10 B Results for Ontario
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 0.47 0.29 6.66* 1.61 0.80 0.17 0.00
2 5.59* 0.86 0.14 0.17 0.54 2.69 0.00
3 7.95* 0.19 0.08 1.37 0.29 0.12 0.00
4 1.25 1.59 0.69 4.08* 1.92 0.46 0.00
5 1.00 5.17* 2.32 0.34 0.12 1.03 0.02
6 0.47 0.25 3.10 4.61* 0.44 1.12 0.00
7 2.53* 1.73 1.14 1.15 1.27 2.19 0.00
8 1.92 2.19* 0.42 1.75 1.00 2.71 0.02
9 0.17 8.41* 0.15 0.07 0.73 0.46 0.02
10 2.27* 0.27 1.44 0.25 3.47 2.29 0.00
11 0.69 0.68 2.56* 0.47 0.83 4.76 0.00
12 0.19 0.44 0.24 0.56 6.31* 2.27 0.00
13 1.17 0.25 2.14 0.98 3.14* 2.32 0.00
14 0.39 0.46 0.59 1.24* 0.10 7.22 0.00
15 0.95 0.58 3.14* 0.41 0.53 4.41 0.00
16 2.41 0.64 1.75 1.24 2.14* 1.83 0.00
17 2.56 1.76 1.75 2.71* 0.07 1.15 0.00
18 0.83 0.37 1.32 0.68 1.37* 5.42 0.00
19 0.78* 0.63 0.39 0.44 0.49 7.27 0.00
20 0.19 0.56 0.49 0.86 2.05* 5.85 0.00
21 0.69 0.39 1.47* 1.85 0.93 4.64 0.02
22 0.34 0.80 1.88 1.53* 0.17 5.29 0.00
23 0.31 0.90 0.64 0.85* 0.25 7.05 0.00
24 0.31 1.68* 0.90 0.31 0.37 6.42 0.02
25 0.22 2.24* 0.29 2.05 0.47 4.71 0.02
(*) 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 Ontario
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 12 3
149.0 124.0 2 99.0 2
148.5 123.5 98.5 14 7
148.0 123.0 8 1 98.0 2
147.5 122.5 97.5 1 1
147.0 122.0 7 5 97.0 6 4
146.5 121.5 1 1 96.5 1
146.0 121.0 96.0 13 7
145.5 120.5 5 1 95.5 6 2
145.0 120.0 95.0 21 8
144.5 119.5 9 2 94.5 2 4
144.0 1 119.0 94.0 1
143.5 118.5 8 6 93.5 6 3
143.0 118.0 4 1 93.0 3
142.5 117.5 92.5 14 8
142.0 117.0 4 3 92.0 4 5
141.5 116.5 91.5 4 2
141.0 116.0 5 6 91.0 3 1
140.5 115.5 1 90.5 1 2
140.0 115.0 4 4 90.0 8 9
139.5 114.5 3 89.5 2 2
139.0 114.0 89.0 19 12
138.5 113.5 8 3 88.5 2
138.0 1 113.0 88.0 4 5
137.5 112.5 13 9 87.5 8 5
137.0 1 112.0 87.0 1 1
136.5 111.5 7 6 86.5 9 7
136.0 2 111.0 5 2 86.0 2 2
135.5 110.5 1 85.5 4 4
135.0 110.0 5 1 85.0 3 2
134.5 1 109.5 1 84.5 3 4
134.0 109.0 11 6 84.0 3 2
133.5 1 108.5 83.5 1 1
133.0 108.0 11 6 83.0 6 5
132.5 107.5 2 82.5 1 4
132.0 1 107.0 82.0 3 3
131.5 106.5 7 5 81.5 5 2
131.0 106.0 1 81.0 1 2
130.5 105.5 12 8 80.5 6 3
130.0 3 105.0 3 1 80.0 2 1
129.5 104.5 6 6 79.5 7 6
129.0 2 1 104.0 3 6 79.0 4 3
128.5 103.5 78.5 4 1
128.0 103.0 7 8 78.0 6 5
127.5 102.5 77.5 1 1
127.0 102.0 15 9 77.0 9 6
126.5 4 1 101.5 2 3 76.5 2 3
126.0 1 101.0 14 7 76.0 2 3
125.5 7 1 100.5 8 1 75.5 3 1
American Mathematics Competitions
2006 AMC 12 B Results for Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 50.0 25.0
74.5 11 4 49.5 24.5
74.0 1 3 49.0 24.0
73.5 2 5 48.5 23.5
73.0 2 2 48.0 2 23.0
72.5 3 3 47.5 1 1 22.5
72.0 6 4 47.0 22.0
71.5 2 1 46.5 21.5
71.0 5 7 46.0 21.0
70.5 6 2 45.5 20.5
70.0 1 45.0 20.0
69.5 5 2 44.5 2 19.5
69.0 3 44.0 19.0
68.5 3 1 43.5 18.5
68.0 2 3 43.0 18.0
67.5 42.5 2 1 17.5
67.0 3 3 42.0 17.0
66.5 3 1 41.5 16.5
66.0 10 3 41.0 16.0
65.5 40.5 1 15.5
65.0 4 2 40.0 15.0
64.5 4 39.5 14.5
64.0 2 39.0 1 14.0
63.5 2 38.5 13.5
63.0 38.0 1 13.0
62.5 1 1 37.5 12.5
62.0 1 1 37.0 12.0
61.5 1 36.5 11.5
61.0 1 1 36.0 1 11.0
60.5 1 2 35.5 1 10.5
60.0 1 35.0 10.0
59.5 1 34.5 1 9.5
59.0 2 3 34.0 9.0
58.5 1 2 33.5 8.5
58.0 2 33.0 1 8.0
57.5 32.5 7.5
57.0 1 1 32.0 7.0
56.5 3 31.5 6.5
56.0 2 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 5.0
54.5 29.5 4.5
54.0 29.0 4.0
53.5 2 2 28.5 3.5
53.0 28.0 3.0
52.5 27.5 2.5
52.0 1 27.0 2.0
51.5 26.5 1.5
51.0 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Ontario
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
144.0 1
138.0 1
137.0 1
136.0 1 1
134.5 1
133.5 1
132.0 1
130.0 1 1 1
129.0 1 2
126.5 1 3 1
126.0 1
125.5 2 1 4 1
125.0 1
124.0 1 1 1
123.0 7 2
122.0 2 5 5
121.5 2
120.5 6
119.5 1 5 5
118.5 1 10 3
118.0 1 5
117.0 6 1
116.0 3 4 4
115.5 1
115.0 4 4
114.5 2 1
113.5 2 9
112.5 1 2 5 14
111.5 1 5 4 3
111.0 6 2 1
110.5 1
110.0 2 5
109.5 1
109.0 1 8 8
108.0 3 4 10
107.5 1 1
106.5 4 8
106.0 1
105.5 2 7 11
105.0 1 3
104.5 1 1 4 6
104.0 3 6 1
103.0 1 4 12
102.0 1 3 10 10 2
101.5 3 2
101.0 1 2 2 16
100.5 4 5
99.5 5 10
99.0 2
98.5 1 3 16 1
98.0 1 1
97.5 1 1
97.0 1 4 6
96.5 1
96.0 1 8 13 1
95.5 4 5
95.0 1 9 20
94.5 4 2
94.0 1
93.5 3 6
93.0 2 1
92.5 4 5 13
92.0 5 4
91.5 1 3 2
91.0 1 3 1
90.5 2 1
90.0 1 2 14 1
89.5 1 2 1
89.0 2 11 16 2
88.5 1 1 1
88.0 4 6
87.5 1 5 8
87.0 2
86.5 7 9
86.0 2 2
85.5 4 4
85.0 2 3
84.5 3 4 1
84.0 3 3
83.5 1 1
83.0 6 7
82.5 1 4
82.0 1 5
81.5 5 3 1
81.0 2 1
80.5 5 4
80.0 1 2
79.5 1 6 6
79.0 1 2 4
78.5 2 1 2
78.0 1 5 5
77.5 1 1
77.0 2 7 6
76.5 1 1 3
76.0 5 1
75.5 3 2
75.0 1 4
74.5 8 8
74.0 1 2 1
73.5 2 5
73.0 4
72.5 2 2 2
72.0 1 3 6
71.5 3 1
71.0 4 8
70.5 3 5
70.0 1
69.5 3 4
69.0 2 2
68.5 2 2 1
68.0 1 3 1
67.0 4 2
66.5 1 3
66.0 1 3 9
65.0 1 3 2
64.5 1 2 1
64.0 2
63.5 2
62.5 2
62.0 2
61.5 1
61.0 2
60.5 1 2
60.0 1
59.5 1
59.0 2 3
58.5 1 3
58.0 2
57.0 2
56.5 1 2
56.0 2
55.0 1 1
53.5 4 1
52.0 1
48.0 1 1
47.5 2
44.5 1 1
42.5 3
40.5 1
39.0 1
38.0 1
36.0 2
35.5 1
34.5 1
33.0 1
American Mathematics Competitions
2006 AMC 12 B Results for Ontario
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 0.14 0.18 8.99* 0.35 0.26 0.08 0.00
2 8.10* 0.24 0.04 0.09 0.31 1.23 0.00
3 8.66* 0.11 0.01 0.72 0.26 0.25 0.00
4 9.05* 0.40 0.11 0.15 0.03 0.26 0.00
5 8.31* 0.55 0.18 0.27 0.10 0.58 0.00
6 0.08 9.29* 0.04 0.07 0.28 0.24 0.00
7 0.40 8.87* 0.28 0.18 0.13 0.13 0.00
8 0.06 0.19 0.21 0.26 8.40* 0.87 0.00
9 0.37 5.53* 0.43 0.92 0.47 2.28 0.00
10 4.36* 0.50 0.94 0.11 2.68 1.39 0.01
11 0.45 0.15 0.83 0.80 5.98* 1.79 0.00
12 0.62 0.67 0.63 2.35* 0.56 5.16 0.00
13 0.56 0.59 5.07* 0.23 0.32 3.23 0.00
14 0.23 0.33 1.56 3.85* 0.16 3.88 0.00
15 0.18 3.96* 0.81 0.37 0.17 4.50 0.00
16 0.32 0.20 2.37* 0.33 0.29 6.49 0.00
17 0.85 0.25 2.52* 1.16 0.34 4.89 0.00
18 0.40 1.23* 1.42 0.29 0.23 6.44 0.00
19 0.10 2.71* 0.08 1.39 0.24 5.48 0.00
20 0.13 0.28 0.43* 0.11 0.66 8.39 0.00
21 0.25 0.09 0.33* 0.18 0.19 8.96 0.00
22 0.17 0.38* 0.35 0.23 0.09 8.78 0.00
23 0.16 0.16 0.42 0.29 0.19* 8.77 0.00
24 0.23 0.10 0.26* 0.15 0.07 9.19 0.00
25 0.09 0.26* 0.26 0.30 0.09 9.01 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
