American Mathematics Competitions
2006 AMC 10 A Results for British Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 526
Number of unofficial participants: 0
Average score of participants: 84.1
Average score for female students is: 81.1 ( 236 Students)
Average score for male students is: 86.8 ( 248 Students)
Average score for unspecified gender is 85.1 ( 42 Students)
Average score for grade 10 is: 84.4 ( 373 Students)
Average score for grade 9 is: 82.0 ( 130 Students)
Average score for grade 8 and below is: 95.7 ( 11 Students)
Average score with unknown grade: 89.3 ( 12 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 25
Number of schools returning results 22
Average school winning score 117.34
American Mathematics Competitions
2006 AMC 12 A Results for British Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 423
Number of unofficial participants: 0
Average score of participants: 92.1
Average score for female students is: 89.6 ( 148 Students)
Average score for male students is: 94.0 ( 251 Students)
Average score for unspecified gender is 87.0 ( 24 Students)
Average score for grade 12 is: 91.6 ( 269 Students)
Average score for grade 11 is: 92.5 ( 133 Students)
Average score for grade 10 is: 99.7 ( 13 Students)
Average score with unknown grade: 89.1 ( 8 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 125
Number of schools returning results 23
Average school winning score 116.22
Average school team score 331.74
American Mathematics Competitions
2006 AMC 10 B Results for British Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 479
Number of unofficial participants: 0
Average score of participants: 73.5
Average score for female students is: 68.3 ( 182 Students)
Average score for male students is: 77.1 ( 255 Students)
Average score for unspecified gender is 74.4 ( 42 Students)
Average score for grade 10 is: 74.5 ( 331 Students)
Average score for grade 9 is: 70.0 ( 109 Students)
Average score for grade 8 and below is: 78.2 ( 15 Students)
Average score with unknown grade: 72.0 ( 24 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 9
Number of schools returning results 27
Average school winning score 106.69
American Mathematics Competitions
2006 AMC 12 B Results for British Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 839
Number of unofficial participants: 0
Average score of participants: 89.2
Average score for female students is: 87.1 ( 305 Students)
Average score for male students is: 91.3 ( 476 Students)
Average score for unspecified gender is 83.3 ( 58 Students)
Average score for grade 13 is: 102.0 ( 1 Student)
Average score for grade 12 is: 88.1 ( 553 Students)
Average score for grade 11 is: 91.4 ( 244 Students)
Average score for grade 10 is: 100.4 ( 17 Students)
Average score for grade 9 is: 109.5 ( 2 Students)
Average score with unknown grade: 81.2 ( 22 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 235
Number of schools returning results 42
Average school winning score 113.96
Average school team score 319.36
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
390.5 1 1
385.5 1 2
383.0 1 3
375.0 1 4
370.0 1 5
368.0 1 6
367.0 1 7
364.5 1 8
361.0 1 9
359.5 1 10
356.5 1 11
356.0 1 12
355.0 2 13
354.0 1 15
353.0 1 16
351.5 1 17
348.5 1 18
347.5 1 19
347.0 1 1 20
345.5 1 22
344.5 1 23
343.5 1 24
342.5 1 25
342.0 1 26
340.0 1 1 27
339.5 1 29
337.5 2 30
334.5 1 32
333.5 1 33
322.0 1 34
321.5 2 35
321.0 1 37
318.5 1 38
317.5 1 39
317.0 1 40
314.0 1 41
312.5 1 42
312.0 1 43
308.5 2 44
305.0 1 46
304.0 1 47
303.5 2 48
303.0 1 50
299.5 1 51
296.5 1 52
296.0 1 53
293.0 1 54
290.0 1 55
289.0 1 56
286.0 1 57
284.0 1 58
283.0 1 59
279.0 1 60
276.5 1 61
275.0 1 62
249.5 1 63
179.0 1 64
178.0 1 65
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
144.0 1
140.5 2
139.5 1 1
137.0 1
136.0 1 1 1 1
134.5 1 1
133.5 2 1
132.5 1
132.0 1
131.0 2 1
130.0 1 1
129.0 1 3
127.5 1
126.5 3 1
126.0 2
125.5 1 5 1 1
125.0 1 1
124.0 2
123.0 5 1
122.5 1 1
122.0 3 6 1
121.5 3
120.5 1 4 2
119.5 4 2 1
119.0 1 4 2
118.5 5 5 1
118.0 1 1 2
117.0 3 3
116.0 7 10 1 2
115.5 1 1
115.0 3 10
114.5 1 2
114.0 2 2
113.5 5 7 1
113.0 1
112.5 7 16 2
112.0 1 1 1 1
111.5 3 9
111.0 3 2 2 2
110.5 1
110.0 6 7 1 3
109.5 3
109.0 3 13 3
108.5 1 2 2
108.0 2 8 3
107.5 3 5 4 2
107.0 1
106.5 12 7 2 1
106.0 3
105.5 9 14 1 1
105.0 3 1 2
104.5 1 12 3
104.0 9 6 4 1
103.5 2 1
103.0 8 9 5
102.5 2 1 2
102.0 4 34 2 2
101.5 5 4 6 3
101.0 7
100.5 14 7 4 5
100.0 1
99.5 5 14 2 1
99.0 1 1 1 1
98.5 2 20 3 2
98.0 14 4 9
97.5 2 2 2 2
97.0 16 7 3 5
96.5 2 4 1
96.0 6 24 7 2
95.5 9 2 8 1
95.0 3 18 2
94.5 21 3 10 5
94.0 5 2 1
93.5 9 15 5 3
93.0 2 3 7
92.5 6 18 5 3
92.0 8 5 5 1
91.5 1 13 5 1
91.0 13 7 5 9
90.5 2 3 5
90.0 6 17 8 1
89.5 3 1 4 4
89.0 8 20 9 3
88.5 9 4 4 7
88.0 1 9 2 2
87.5 8 9 8 4
87.0 10 2 1
86.5 8 25 2 7
86.0 5 4 2 2
85.5 2 21 10
85.0 9 7 7 9
84.5 1 6 2 1
84.0 4 15 13 8
83.5 8 3 4
83.0 2 13 7 6
82.5 2 6 7 3
82.0 2 19 4 6
81.5 6 6 6 7
81.0 2 6 3 1
80.5 6 9 7 4
80.0 4 6 5 3
79.5 1 8 7 2
79.0 6 3 8 2
78.5 6 7 5
78.0 8 4 10 4
77.5 3 4 3 3
77.0 2 10 6 7
76.5 1 3 5 6
76.0 1 4 6 3
75.5 3 5 7 11
75.0 1 4 8 3
74.5 6 13 11 10
74.0 4 4 10 2
73.5 1 7 8 2
73.0 4 3 6 5
72.5 2 6 1
72.0 2 6 9 5
71.5 3 8 5 4
71.0 6 4 3
70.5 3 4 3 7
70.0 3 7 1
69.5 2 4 6 2
69.0 4 2 2
68.5 2 7 4 7
68.0 2 2 5
67.5 1 4 10
67.0 3 2 4
66.5 3 5 3 7
66.0 1 7 4 3
65.5 1 8 4 5
65.0 1 2 3 3
64.5 2 2 6
64.0 2 2 2 2
63.5 1 4 2 1
63.0 1 1 1
62.5 2 5 3 6
62.0 2 1
61.5 2 4 4 6
61.0 1 2 2 3
60.5 3 4 3
60.0 4 8 6 6
59.5 2 1 1 4
59.0 5
58.5 2 1
58.0 1 1 3
57.5 3 1 1
57.0 1 2 3
56.5 1 1 8
56.0 1 5
55.5 3 4
55.0 1 3 7
54.5 1 1 1
54.0 5 4 8
53.5 1 2
53.0 1 1
52.5 1 1 4
52.0 1 1 1
51.5 5
51.0 1 1
50.5 1 1 3
50.0 1 4
49.5 1 1 2 1
49.0 4
48.5 1 1 2
48.0 1 4 4 7
47.0 1 1
46.5 2 2
46.0 2
45.5 3
45.0 1 2
44.5 1
44.0 4
43.5 1 2
43.0 1 1
42.5 1 2
42.0 1 2 3
41.5 1
41.0 1
40.5 1 3
40.0 1
39.5 2
39.0 3
38.5 1
38.0 3
37.5 1 1
37.0 1
36.0 1 7
35.0 1 1 3
33.0 1
32.5 1
31.5 1
30.0 1
24.0 2
23.5 1
23.0 1
20.5 1
American Mathematics Competitions
2006 AMC 10 A Results for British Columbia
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 1 1
149.0 124.0 99.0 1
148.5 123.5 98.5 1 2
148.0 123.0 1 98.0 2 1
147.5 122.5 1 97.5 1
147.0 122.0 1 97.0 1 2
146.5 121.5 3 96.5 3
146.0 121.0 96.0 4 3
145.5 120.5 2 95.5 5 3
145.0 120.0 95.0 2
144.5 119.5 1 94.5 5 4
144.0 1 119.0 3 1 94.0 1 1
143.5 118.5 93.5 2 2
143.0 118.0 1 93.0 4 3
142.5 117.5 92.5 3 2
142.0 117.0 92.0 1 3
141.5 116.5 91.5 2 2
141.0 116.0 1 91.0 3 2
140.5 2 115.5 1 90.5 4 1
140.0 115.0 90.0 4 4
139.5 1 114.5 1 89.5 1 3
139.0 114.0 2 89.0 2 6
138.5 113.5 1 88.5 2 2
138.0 113.0 88.0 1 1
137.5 112.5 1 1 87.5 2 6
137.0 1 112.0 1 87.0 1 1
136.5 111.5 86.5 1 1
136.0 1 111.0 2 86.0 2
135.5 110.5 1 85.5 3 6
135.0 110.0 1 85.0 1 5
134.5 1 109.5 3 84.5 2
134.0 109.0 2 84.0 7 5
133.5 2 108.5 1 1 83.5 1 2
133.0 108.0 2 1 83.0 6 1
132.5 107.5 4 82.5 5 1
132.0 1 107.0 82.0 1 2
131.5 106.5 1 81.5 2 4
131.0 2 106.0 2 81.0 2
130.5 105.5 1 80.5 4 3
130.0 105.0 1 80.0 1 4
129.5 104.5 1 2 79.5 2 4
129.0 104.0 2 1 79.0 3 4
128.5 103.5 1 1 78.5 4 2
128.0 103.0 1 4 78.0 5 4
127.5 102.5 1 77.5 2 1
127.0 102.0 1 77.0 2 4
126.5 1 101.5 2 3 76.5 3 1
126.0 1 101.0 76.0 3 2
125.5 1 100.5 3 1 75.5 3 4
American Mathematics Competitions
2006 AMC 10 A Results for British Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 4 50.0 25.0
74.5 4 7 49.5 1 24.5
74.0 5 5 49.0 24.0
73.5 5 3 48.5 2 23.5
73.0 1 5 48.0 1 3 23.0
72.5 1 47.5 22.5
72.0 3 4 47.0 22.0
71.5 2 3 46.5 1 1 21.5
71.0 2 1 46.0 21.0
70.5 2 45.5 20.5
70.0 2 4 45.0 20.0
69.5 3 2 44.5 1 19.5
69.0 2 44.0 19.0
68.5 2 1 43.5 18.5
68.0 1 1 43.0 1 18.0
67.5 42.5 17.5
67.0 2 42.0 2 17.0
66.5 1 2 41.5 16.5
66.0 2 2 41.0 16.0
65.5 1 3 40.5 15.5
65.0 1 1 40.0 15.0
64.5 1 1 39.5 14.5
64.0 2 39.0 14.0
63.5 2 38.5 13.5
63.0 1 38.0 13.0
62.5 2 1 37.5 1 12.5
62.0 1 37.0 12.0
61.5 2 2 36.5 11.5
61.0 1 1 36.0 1 11.0
60.5 1 3 35.5 10.5
60.0 3 3 35.0 1 10.0
59.5 1 34.5 9.5
59.0 34.0 9.0
58.5 2 33.5 8.5
58.0 33.0 1 8.0
57.5 1 32.5 1 7.5
57.0 1 32.0 7.0
56.5 31.5 6.5
56.0 31.0 6.0
55.5 1 2 30.5 5.5
55.0 2 1 30.0 1 5.0
54.5 1 29.5 4.5
54.0 3 29.0 4.0
53.5 1 28.5 3.5
53.0 28.0 3.0
52.5 1 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 1 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for British Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
144.0 1
140.5 2
139.5 1
137.0 1
136.0 1
134.5 1
133.5 1 1
132.0 1
131.0 1 1
126.5 1
126.0 1 1
125.5 1
125.0 1
123.0 1
122.5 1
122.0 1
121.5 1 2
120.5 1 1
119.5 1 1
119.0 4
118.5 1
118.0 1
116.0 1
115.5 1
114.5 1
114.0 2
113.5 1
112.5 2
112.0 1
111.0 1 1
110.5 1
110.0 1
109.5 1 2
109.0 2 1
108.5 2
108.0 1 2
107.5 1 3
106.5 2
106.0 2 1
105.5 1
105.0 1
104.5 1 2
104.0 1 1 2
103.5 2
103.0 1 4
102.5 1
102.0 1 1
101.5 1 5
100.5 1 1 2
99.5 2
99.0 1
98.5 3
98.0 2 2
97.5 1 1
97.0 1 2
96.5 1 3
96.0 3 4
95.5 4 4
95.0 1 1
94.5 2 8
94.0 2
93.5 4 1
93.0 2 5
92.5 2 3
92.0 1 4
91.5 5
91.0 5
90.5 1 4
90.0 2 6
89.5 1 3
89.0 2 7
88.5 2 2
88.0 2
87.5 7 1
87.0 2
86.5 2
86.0 2
85.5 10
85.0 3 4
84.5 2
84.0 2 10 1
83.5 2 2
83.0 1 6
82.5 2 5
82.0 1 3
81.5 6
81.0 3
80.5 1 2 4
80.0 1 3 1
79.5 4 3
79.0 1 7
78.5 3 4
78.0 2 7 1
77.5 3
77.0 1 5
76.5 1 4
76.0 2 4
75.5 7
75.0 3 5
74.5 1 3 7
74.0 3 6 1
73.5 4 4
73.0 3 3
72.5 1
72.0 3 5 1
71.5 1 4
71.0 1 2 1
70.5 1 2
70.0 4 3
69.5 2 4
69.0 1 1
68.5 4
68.0 2
67.0 2
66.5 2 1
66.0 2 2
65.5 4
65.0 3
64.5 2
64.0 1 1
63.5 2
63.0 1
62.5 2 1
62.0 1
61.5 4
61.0 2
60.5 1 3
60.0 1 5
59.5 1
58.5 2
58.0 1
57.5 1
57.0 1 1
55.5 3
55.0 3
54.5 1
54.0 1 3
53.5 1
52.5 1
51.0 1
50.5 1
49.5 2
48.5 1 1
48.0 3 1
46.5 1 1
44.5 1
43.0 1
42.0 2
37.5 1
36.0 1
35.0 1
33.0 1
32.5 1
30.0 1
American Mathematics Competitions
2006 AMC 10 A Results for British Columbia
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 9.85* 0.00 0.04 0.11 0.00 0.00 0.00
2 1.31 0.21 4.28* 0.11 1.24 2.85 0.00
3 0.00 8.95* 0.06 0.02 0.95 0.02 0.00
4 2.79 0.19 0.08 0.04 6.58* 0.32 0.00
5 0.17 0.68 0.91 7.55* 0.29 0.40 0.00
6 0.17 8.40* 0.30 0.08 0.17 0.87 0.00
7 7.70* 0.08 0.44 0.30 0.25 1.24 0.00
8 0.63 0.48 0.46 0.23 3.52* 4.70 0.00
9 0.87 1.52 6.48* 0.40 0.19 0.53 0.00
10 0.42 0.21 1.01 3.48 1.67* 3.19 0.02
11 1.62 1.24 1.96* 1.08 0.72 3.38 0.00
12 0.53 0.49 5.80* 0.95 0.53 1.69 0.00
13 0.44 0.95 0.23 5.25* 0.23 2.91 0.00
14 1.58 5.21* 0.27 1.01 0.44 1.50 0.00
15 1.18 0.46 0.63 2.09* 0.55 5.10 0.00
16 0.34 0.46 0.84 0.59* 0.86 6.92 0.00
17 3.33* 0.59 0.34 0.46 0.32 4.96 0.00
18 1.31 0.10 3.48* 0.34 0.40 4.37 0.00
19 0.49 1.31 1.44* 0.40 0.25 6.08 0.02
20 0.44 0.97 0.42 0.44 0.80* 6.94 0.00
21 0.80 0.72 0.48 0.76 1.46* 5.78 0.00
22 0.21 0.99 4.45* 2.26 0.38 1.71 0.00
23 0.25 2.22* 0.30 0.32 0.48 6.43 0.00
24 0.46 0.59* 0.38 0.38 0.42 7.78 0.00
25 1.75 0.67 0.86* 0.46 0.23 6.05 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2006 AMC 12 A Results for British Columbia
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 1
149.0 124.0 99.0 1
148.5 123.5 98.5 1
148.0 123.0 98.0 7 6
147.5 122.5 97.5 2
147.0 122.0 3 97.0 9 6
146.5 121.5 96.5
146.0 121.0 96.0 3 3
145.5 120.5 1 95.5 3 6
145.0 120.0 95.0 2 1
144.5 119.5 94.5 9 10
144.0 119.0 94.0
143.5 118.5 5 93.5 5 4
143.0 118.0 1 93.0 2
142.5 117.5 92.5 4 2
142.0 117.0 2 1 92.0 4 4
141.5 116.5 91.5 1
141.0 116.0 5 1 91.0 7 5
140.5 115.5 90.5 2
140.0 115.0 2 90.0 5 1
139.5 1 114.5 89.5 3
139.0 114.0 89.0 5 3
138.5 113.5 3 2 88.5 3 5
138.0 113.0 88.0 1
137.5 112.5 6 1 87.5 4 3
137.0 112.0 1 87.0
136.5 111.5 2 1 86.5 5 3
136.0 1 111.0 2 1 86.0 1 4
135.5 110.5 85.5 1 1
135.0 110.0 5 1 85.0 7 1
134.5 109.5 84.5 1
134.0 109.0 2 1 84.0 3 1
133.5 108.5 1 83.5 5 1
133.0 108.0 2 83.0 1 1
132.5 107.5 3 82.5 1 1
132.0 107.0 82.0 2
131.5 106.5 8 3 81.5 2 3
131.0 106.0 81.0 2
130.5 105.5 3 6 80.5 4 2
130.0 105.0 80.0 1 3
129.5 104.5 1 79.5 1
129.0 1 104.0 6 3 79.0 2 4
128.5 103.5 78.5
128.0 103.0 5 3 78.0 3 5
127.5 102.5 2 77.5 1 1
127.0 102.0 3 77.0 1 1
126.5 101.5 3 2 76.5 1
126.0 101.0 76.0 1
125.5 1 100.5 11 3 75.5 2 1
American Mathematics Competitions
2006 AMC 12 A Results for British Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 25.0
74.5 2 4 49.5 1 24.5
74.0 3 1 49.0 24.0
73.5 1 48.5 1 23.5
73.0 2 2 48.0 1 23.0
72.5 2 47.5 22.5
72.0 2 47.0 22.0
71.5 2 46.5 21.5
71.0 46.0 21.0
70.5 1 45.5 20.5
70.0 45.0 20.0
69.5 2 44.5 19.5
69.0 44.0 19.0
68.5 1 1 43.5 18.5
68.0 43.0 18.0
67.5 1 42.5 17.5
67.0 42.0 17.0
66.5 2 1 41.5 16.5
66.0 1 41.0 16.0
65.5 1 40.5 15.5
65.0 1 40.0 15.0
64.5 39.5 14.5
64.0 1 39.0 14.0
63.5 1 38.5 13.5
63.0 38.0 13.0
62.5 1 37.5 12.5
62.0 37.0 12.0
61.5 1 1 36.5 11.5
61.0 1 36.0 11.0
60.5 35.5 10.5
60.0 2 2 35.0 10.0
59.5 1 1 34.5 9.5
59.0 34.0 9.0
58.5 33.5 8.5
58.0 33.0 8.0
57.5 32.5 7.5
57.0 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 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 A Results for British Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
139.5 1
136.0 1
129.0 1
125.5 1
122.0 1 2
120.5 1
118.5 2 3
118.0 1
117.0 3
116.0 2 5
115.0 1 2
113.5 1 3 1
112.5 1 1 5
112.0 1
111.5 2 1
111.0 3
110.0 4 2
109.0 3
108.5 1
108.0 2
107.5 1 2
106.5 5 7
105.5 2 7
104.5 1
104.0 5 4
103.0 4 4
102.5 2
102.0 3 1
101.5 1 4
100.5 7 7
99.5 4 1
99.0 1
98.5 2
98.0 1 4 9
97.5 2
97.0 1 6 9
96.0 1 5
95.5 1 3 5
95.0 1 2
94.5 2 10 9
93.5 1 1 7
93.0 1 1
92.5 1 1 4
92.0 2 6
91.5 1
91.0 5 7 1
90.5 2
90.0 4 2
89.5 2 1
89.0 3 5
88.5 2 7
88.0 1
87.5 1 1 6
86.5 8
86.0 2 3
85.5 1 1
85.0 4 5
84.5 1
84.0 4
83.5 3 4 1
83.0 2
82.5 2
82.0 2
81.5 4 2
81.0 1 1
80.5 6
80.0 4
79.5 1
79.0 2 4
78.0 3 5
77.5 3
77.0 2
76.5 1
76.0 1
75.5 1 2
75.0 1
74.5 1 5
74.0 2 2
73.5 1
73.0 4
72.5 1 1
72.0 2
71.5 1 1 1
70.5 2 1
69.5 2
68.5 2
67.5 1
66.5 2 1
66.0 1
65.5 1
65.0 1
64.0 2
63.5 1
62.5 1 1
61.5 1 1
61.0 1
60.0 1 3
59.5 2
56.5 1
52.0 1
50.0 1
49.5 1
48.5 1
48.0 1
American Mathematics Competitions
2006 AMC 12 A Results for British Columbia
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 9.88* 0.00 0.00 0.05 0.05 0.02 0.00
2 1.04 0.12 6.24* 0.07 0.59 1.94 0.00
3 0.00 9.27* 0.00 0.00 0.69 0.05 0.00
4 1.96 0.24 0.07 0.05 7.30* 0.38 0.00
5 0.12 0.54 0.57 8.18* 0.09 0.50 0.00
6 8.25* 0.09 0.26 0.12 0.24 1.04 0.00
7 1.02 6.60* 0.76 0.47 0.31 0.85 0.00
8 0.28 0.95 7.54* 0.47 0.05 0.71 0.00
9 8.72* 0.12 0.02 0.02 0.28 0.83 0.00
10 0.12 0.09 0.76 4.04 3.00* 1.99 0.00
11 2.01 1.23 2.88* 0.99 0.76 2.13 0.00
12 0.90 7.26* 0.07 0.69 0.07 1.02 0.00
13 0.24 0.07 0.14 0.19 7.75* 1.61 0.00
14 0.02 0.50 6.55* 1.44 0.21 1.28 0.00
15 4.44* 1.18 0.14 0.83 1.77 1.63 0.00
16 0.17 6.93* 0.21 0.09 0.21 2.39 0.00
17 0.47 1.09* 0.64 0.43 0.02 7.35 0.00
18 1.39 0.09 0.28 0.69 0.35* 7.19 0.00
19 0.24 0.17 0.19 0.19 0.38* 8.84 0.00
20 1.42 0.52 0.97* 0.28 0.19 6.62 0.00
21 0.07 0.24 0.09 0.17 0.14* 9.29 0.00
22 0.17 0.17 0.12 0.07* 0.14 9.34 0.00
23 0.12 0.12* 0.09 0.17 0.14 9.36 0.00
24 0.64 0.12 0.43 0.31* 0.02 8.49 0.00
25 0.12 0.09 0.31 0.14 0.07* 9.27 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 British Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 100.0 1
149.5 124.5 99.5 1
149.0 124.0 99.0
148.5 123.5 98.5 1 1
148.0 123.0 98.0 6 3
147.5 122.5 1 97.5 2
147.0 122.0 97.0 3 2
146.5 121.5 96.5 1
146.0 121.0 96.0 1
145.5 120.5 95.5 1
145.0 120.0 95.0
144.5 119.5 1 94.5 5
144.0 119.0 2 94.0 1
143.5 118.5 93.5 3
143.0 118.0 2 93.0
142.5 117.5 92.5 2 1
142.0 117.0 92.0 1
141.5 116.5 91.5
141.0 116.0 1 1 91.0 6 1
140.5 115.5 1 90.5
140.0 115.0 90.0 1
139.5 114.5 2 89.5 2 1
139.0 114.0 1 89.0 1 1
138.5 113.5 88.5 3 3
138.0 113.0 1 88.0 2
137.5 112.5 87.5 1 1
137.0 112.0 87.0 1
136.5 111.5 86.5 6 1
136.0 1 111.0 1 1 86.0 1 1
135.5 110.5 85.5
135.0 110.0 1 1 85.0 6 2
134.5 1 109.5 84.5
134.0 109.0 84.0 6 2
133.5 1 108.5 2 83.5
133.0 108.0 83.0 3 2
132.5 107.5 1 1 82.5 1 2
132.0 107.0 1 82.0 4 1
131.5 106.5 1 81.5 3 3
131.0 1 106.0 81.0 1
130.5 105.5 1 80.5 2 2
130.0 1 105.0 1 1 80.0 1 1
129.5 104.5 79.5 1 1
129.0 104.0 1 79.0 2
128.5 103.5 1 78.5 3 2
128.0 103.0 78.0 4
127.5 1 102.5 2 77.5 2 1
127.0 102.0 1 1 77.0 3 4
126.5 101.5 2 1 76.5 4 2
126.0 101.0 76.0 1 1
125.5 1 100.5 4 1 75.5 6 3
American Mathematics Competitions
2006 AMC 10 B Results for British Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 2 50.0 1 3 25.0
74.5 3 6 49.5 24.5
74.0 1 1 49.0 1 3 24.0
73.5 2 48.5 23.5 1
73.0 3 2 48.0 4 2 23.0 1
72.5 47.5 22.5
72.0 3 2 47.0 1 22.0
71.5 4 46.5 2 21.5
71.0 2 1 46.0 2 21.0
70.5 5 2 45.5 1 2 20.5
70.0 1 45.0 1 1 20.0
69.5 1 44.5 19.5
69.0 1 44.0 2 2 19.0
68.5 5 2 43.5 2 18.5
68.0 4 43.0 18.0
67.5 3 7 42.5 1 1 17.5
67.0 1 2 42.0 2 1 17.0
66.5 2 4 41.5 1 16.5
66.0 1 1 41.0 1 16.0
65.5 1 3 40.5 1 2 15.5
65.0 2 40.0 1 15.0
64.5 3 3 39.5 1 1 14.5
64.0 1 1 39.0 2 14.0
63.5 1 38.5 1 13.5
63.0 1 38.0 3 13.0
62.5 4 2 37.5 1 12.5
62.0 37.0 1 12.0
61.5 3 2 36.5 11.5
61.0 3 36.0 3 4 11.0
60.5 1 2 35.5 10.5
60.0 3 3 35.0 1 1 10.0
59.5 4 34.5 9.5
59.0 1 3 34.0 9.0
58.5 1 33.5 8.5
58.0 1 2 33.0 8.0
57.5 1 32.5 7.5
57.0 2 32.0 7.0
56.5 6 2 31.5 6.5
56.0 4 1 31.0 6.0
55.5 2 2 30.5 5.5
55.0 1 5 30.0 5.0
54.5 1 29.5 4.5
54.0 3 4 29.0 4.0
53.5 1 28.5 3.5
53.0 1 28.0 3.0
52.5 2 2 27.5 2.5
52.0 1 27.0 2.0
51.5 4 1 26.5 1.5
51.0 1 26.0 1.0
50.5 1 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for British Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
136.0 1
134.5 1
133.5 1
131.0 1
130.0 1
127.5 1
125.5 1
125.0 1
122.5 1
119.5 1
119.0 1 1
118.0 2
116.0 2
115.5 1
114.5 1 1
114.0 1 1
113.0 1
112.0 1
111.0 2
110.0 3
108.5 2
107.5 2
107.0 1
106.5 1
105.5 1
105.0 1 1
104.0 1
103.5 1
102.5 2
102.0 2
101.5 1 2
100.5 2 2 1
100.0 1
99.5 1
99.0 1
98.5 2
98.0 2 7
97.5 2
97.0 1 4
96.5 1
96.0 2
95.5 1
94.5 2 3
94.0 1
93.5 1 2
92.5 1 1 1
92.0 1
91.5 1
91.0 9
90.0 1
89.5 3 1
89.0 1 1 1
88.5 1 5 1
88.0 2
87.5 3 1
87.0 1
86.5 7
86.0 1 1
85.0 1 7 1
84.5 1
84.0 3 5
83.0 2 4
82.5 1 2
82.0 3 3
81.5 5 1 1
81.0 1
80.5 1 3
80.0 2 1
79.5 2
79.0 2
78.5 1 4
78.0 1 3
77.5 1 2
77.0 1 6
76.5 6
76.0 1 2
75.5 5 6
75.0 2 1
74.5 10
74.0 1 1
73.5 2
73.0 1 4
72.0 4 1
71.5 1 1 2
71.0 3
70.5 7
70.0 1
69.5 2
69.0 1 1
68.5 2 4 1
68.0 1 3 1
67.5 3 7
67.0 1 2 1
66.5 4 3
66.0 2 1
65.5 2 3
65.0 2 1
64.5 1 3 2
64.0 2
63.5 1
63.0 1
62.5 1 5
61.5 1 5
61.0 1 2
60.5 3
60.0 1 2 3
59.5 1 3
59.0 4 1
58.5 1
58.0 1 2
57.5 1
57.0 1 1 1
56.5 7 1
56.0 1 4
55.5 1 3
55.0 1 6
54.5 1
54.0 1 5 2
53.5 1 1
53.0 1
52.5 2 2
52.0 1
51.5 1 3 1
51.0 1
50.5 1 2
50.0 4
49.5 1
49.0 1 1 2
48.0 4 3
47.0 1
46.5 1 1
46.0 2
45.5 1 2
45.0 1 1
44.0 4
43.5 2
42.5 2
42.0 2 1
41.5 1
41.0 1
40.5 3
40.0 1
39.5 1 1
39.0 2 1
38.5 1
38.0 2 1
37.5 1
37.0 1
36.0 1 5 1
35.0 2 1
31.5 1
23.5 1
23.0 1
American Mathematics Competitions
2006 AMC 10 B Results for British Columbia
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 0.35 0.40 7.45* 1.36 0.27 0.17 0.00
2 6.39* 0.73 0.08 0.08 0.33 2.38 0.00
3 8.33* 0.19 0.04 0.86 0.33 0.23 0.02
4 0.96 1.23 0.42 4.53* 2.25 0.61 0.00
5 0.94 5.49* 2.30 0.27 0.06 0.92 0.02
6 0.52 0.31 2.40 4.80* 0.35 1.61 0.00
7 2.53* 2.30 1.52 1.04 0.63 1.96 0.02
8 1.63 2.32* 0.46 1.38 1.27 2.94 0.00
9 0.17 8.62* 0.15 0.10 0.44 0.52 0.00
10 2.03* 0.21 1.09 0.08 3.84 2.73 0.02
11 0.63 0.35 2.99* 0.65 0.61 4.78 0.00
12 0.23 0.42 0.35 0.40 5.11* 3.49 0.00
13 0.90 0.40 1.73 0.94 3.34* 2.69 0.00
14 0.29 0.23 0.33 1.84* 0.04 7.27 0.00
15 0.63 0.52 2.82* 0.38 0.27 5.39 0.00
16 2.05 0.77 1.57 0.88 2.11* 2.63 0.00
17 2.25 1.17 1.92 2.96* 0.17 1.52 0.00
18 0.40 0.58 1.02 0.56 1.29* 6.14 0.00
19 0.40* 0.73 0.38 0.23 0.50 7.77 0.00
20 0.31 0.35 0.48 0.77 1.17* 6.91 0.00
21 0.67 0.27 1.21* 1.94 0.56 5.34 0.00
22 0.13 0.46 1.71 1.29* 0.21 6.20 0.00
23 0.25 0.63 0.23 0.40* 0.42 8.08 0.00
24 0.19 1.52* 0.67 0.38 0.23 7.01 0.00
25 0.15 2.09* 0.25 1.80 0.27 5.45 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 British Columbia
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 8 5
149.0 124.0 2 99.0
148.5 123.5 98.5 9 11
148.0 123.0 3 2 98.0
147.5 122.5 97.5 2
147.0 122.0 4 2 97.0 6 1
146.5 121.5 96.5 2
146.0 121.0 96.0 12 11
145.5 120.5 4 95.5 1 1
145.0 120.0 95.0 11 6
144.5 119.5 4 94.5 3
144.0 119.0 1 94.0 4 1
143.5 118.5 3 2 93.5 9 4
143.0 118.0 93.0 3
142.5 117.5 92.5 12 4
142.0 117.0 3 92.0 4 1
141.5 116.5 91.5 8 5
141.0 116.0 8 2 91.0 5 2
140.5 115.5 90.5 1 1
140.0 115.0 6 4 90.0 12 4
139.5 114.5 89.5 1
139.0 114.0 89.0 11 8
138.5 113.5 6 1 88.5 1 2
138.0 113.0 88.0 4 5
137.5 112.5 9 7 87.5 7 2
137.0 112.0 1 87.0 5 5
136.5 111.5 3 6 86.5 19 5
136.0 1 111.0 1 1 86.0 3 1
135.5 110.5 85.5 11 6
135.0 110.0 5 2 85.0 5 2
134.5 109.5 84.5 3 2
134.0 109.0 9 3 84.0 11 3
133.5 108.5 83.5 1 2
133.0 108.0 7 1 83.0 2 10
132.5 1 107.5 5 82.5 4 2
132.0 107.0 82.0 8 8
131.5 106.5 2 5 81.5 3 2
131.0 106.0 81.0 5 1
130.5 105.5 8 5 80.5 2 7
130.0 1 105.0 2 1 80.0 3 3
129.5 104.5 6 6 79.5 3 3
129.0 3 104.0 4 1 79.0 1 2
128.5 103.5 78.5 5 1
128.0 103.0 5 4 78.0 2 1
127.5 102.5 77.5 2 2
127.0 102.0 20 10 77.0 4 4
126.5 2 101.5 2 1 76.5 2 1
126.0 101.0 3 4 76.0 2 1
125.5 5 100.5 4 2 75.5 2 2
American Mathematics Competitions
2006 AMC 12 B Results for British Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 2 50.0 25.0
74.5 8 4 49.5 1 24.5
74.0 1 3 49.0 24.0 2
73.5 2 4 48.5 1 23.5
73.0 1 2 48.0 4 23.0
72.5 4 2 47.5 22.5
72.0 2 4 47.0 1 22.0
71.5 4 3 46.5 21.5
71.0 2 3 46.0 21.0
70.5 3 1 45.5 20.5 1
70.0 1 1 45.0 1 20.0
69.5 1 3 44.5 19.5
69.0 2 1 44.0 19.0
68.5 3 4 43.5 1 18.5
68.0 2 43.0 1 18.0
67.5 4 42.5 1 17.5
67.0 2 42.0 17.0
66.5 3 41.5 16.5
66.0 4 2 41.0 16.0
65.5 5 2 40.5 1 15.5
65.0 1 1 40.0 15.0
64.5 1 1 39.5 14.5
64.0 2 39.0 14.0
63.5 1 3 38.5 13.5
63.0 1 38.0 13.0
62.5 1 3 37.5 12.5
62.0 2 37.0 12.0
61.5 1 2 36.5 11.5
61.0 2 36.0 11.0
60.5 1 1 35.5 10.5
60.0 4 2 35.0 1 10.0
59.5 1 34.5 9.5
59.0 34.0 9.0
58.5 33.5 8.5
58.0 1 33.0 8.0
57.5 3 32.5 7.5
57.0 1 32.0 7.0
56.5 1 31.5 6.5
56.0 1 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 5.0
54.5 1 29.5 4.5
54.0 2 3 29.0 4.0
53.5 28.5 3.5
53.0 1 28.0 3.0
52.5 1 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 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for British Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
136.0 1
132.5 1
130.0 1
129.0 1 2
126.5 1 2
125.5 1 4
124.0 2
123.0 2 3
122.0 1 5
120.5 3 1
119.5 2 2
119.0 1
118.5 5
117.0 1 1 1
116.0 1 6 3
115.0 2 1 7
113.5 1 4 2
112.5 6 10
112.0 1
111.5 2 4 3
111.0 1 1
110.0 1 5 1
109.0 4 8 1
108.0 1 7
107.5 2 3
106.5 2 5
105.5 5 9
105.0 2 1
104.5 2 10
104.0 1 5
103.0 3 6
102.0 1 6 25 1 1
101.5 2 2
101.0 7
100.5 3 4
99.5 6 8
99.0 1
98.5 5 15
97.5 1 1
97.0 3 4
96.5 2
96.0 5 18 1
95.5 1 1
95.0 1 5 12
94.5 1 2
94.0 5
93.5 5 10
93.0 1 2
92.5 17 1
92.0 2 3
91.5 2 11
91.0 5 2
90.5 1 2
90.0 5 10 2
89.5 1
89.0 1 5 13 1
88.5 3 1
88.0 4 5
87.5 3 6
87.0 2 7 1
86.5 5 20
86.0 3 1
85.5 6 13 2
85.0 3 4
84.5 2 3 1
84.0 4 11
83.5 3
83.0 1 1 4 7
82.5 1 2 3
82.0 6 13
81.5 2 4
81.0 6
80.5 3 6
80.0 2 4
79.5 1 7
79.0 3
78.5 1 5
78.0 1 3
77.5 2 2
77.0 1 7 2
76.5 2 1
76.0 1 2 1
75.5 1 4
75.0 2 2
74.5 5 8
74.0 2 2
73.5 3 4
73.0 2 1
72.5 1 5
72.0 3 3
71.5 2 6
71.0 1 4 1
70.5 4
70.0 3
69.5 2 2
69.0 4
68.5 7
68.0 1 1
67.5 1 3
67.0 1 2
66.5 3 2
66.0 3 4
65.5 1 7
65.0 2
64.5 1 1
64.0 1 1
63.5 4
63.0 1
62.5 4 1
62.0 2
61.5 1 3
61.0 1 1
60.5 1 2
60.0 1 6 1
59.5 1
58.0 1
57.5 2 1
57.0 1
56.5 1
56.0 1
55.0 1
54.5 1
54.0 1 3 1
53.0 1
52.5 1
52.0 1
50.5 1
49.5 1
48.5 1
48.0 2 2
47.0 1
45.0 1
43.5 1
43.0 1
42.5 1
42.0 1
40.5 1
35.0 1
24.0 2
20.5 1
American Mathematics Competitions
2006 AMC 12 B Results for British Columbia
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 0.23 0.31 8.65* 0.52 0.17 0.12 0.00
2 7.45* 0.37 0.10 0.08 0.19 1.81 0.00
3 8.80* 0.15 0.01 0.45 0.33 0.25 0.00
4 8.93* 0.27 0.17 0.17 0.06 0.41 0.00
5 7.97* 0.61 0.21 0.25 0.12 0.83 0.00
6 0.08 9.21* 0.11 0.07 0.25 0.27 0.00
7 0.46 8.62* 0.29 0.23 0.17 0.24 0.00
8 0.07 0.27 0.10 0.35 8.38* 0.83 0.00
9 0.44 4.93* 0.36 0.73 0.36 3.18 0.00
10 3.08* 0.43 0.93 0.08 2.93 2.55 0.00
11 0.52 0.13 0.70 0.93 5.53* 2.18 0.00
12 0.83 0.66 0.73 1.82* 0.64 5.32 0.00
13 0.73 0.68 4.02* 0.18 0.39 4.00 0.00
14 0.17 0.41 1.43 2.79* 0.08 5.13 0.00
15 0.18 3.80* 0.87 0.44 0.21 4.49 0.00
16 0.27 0.29 1.60* 0.37 0.27 7.20 0.00
17 0.88 0.14 2.48* 1.19 0.18 5.13 0.00
18 0.36 1.06* 1.31 0.30 0.27 6.70 0.00
19 0.12 2.21* 0.14 1.33 0.35 5.85 0.00
20 0.14 0.31 0.27* 0.20 0.67 8.40 0.00
21 0.18 0.15 0.27* 0.13 0.17 9.09 0.00
22 0.08 0.31* 0.25 0.24 0.08 9.03 0.00
23 0.13 0.27 0.33 0.24 0.10* 8.93 0.00
24 0.17 0.15 0.29* 0.13 0.18 9.08 0.00
25 0.12 0.31* 0.31 0.20 0.07 8.99 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column