American Mathematics Competitions
2005 AMC 10 A Results for British Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 445
Number of unofficial participants: 0
Average score of participants: 79.9
Average score for female students is: 76.7 ( 207 Students)
Average score for male students is: 84.2 ( 207 Students)
Average score for unspecified gender is 72.8 ( 31 Students)
Average score for grade 10 is: 80.6 ( 309 Students)
Average score for grade 9 is: 78.6 ( 115 Students)
Average score for grade 8 and below is: 86.0 ( 7 Students)
Average score with unknown grade: 72.8 ( 14 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 9
Number of schools returning results 19
Average school winning score 106.55
American Mathematics Competitions
2005 AMC 12 A Results for British Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 404
Number of unofficial participants: 0
Average score of participants: 83.4
Average score for female students is: 80.6 ( 156 Students)
Average score for male students is: 86.1 ( 224 Students)
Average score for unspecified gender is 75.9 ( 24 Students)
Average score for grade 12 is: 82.9 ( 250 Students)
Average score for grade 11 is: 84.3 ( 135 Students)
Average score for grade 10 is: 77.8 ( 4 Students)
Average score for grade 9 is: 133.5 ( 1 Student)
Average score for grade 8 and below is: 129.0 ( 1 Student)
Average score with unknown grade: 78.5 ( 13 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 52
Number of schools returning results 21
Average school winning score 108.98
Average school team score 297.83
American Mathematics Competitions
2005 AMC 10 B Results for British Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 489
Number of unofficial participants: 0
Average score of participants: 80.3
Average score for female students is: 77.5 ( 192 Students)
Average score for male students is: 84.7 ( 254 Students)
Average score for unspecified gender is 67.2 ( 43 Students)
Average score for grade 10 is: 79.6 ( 369 Students)
Average score for grade 9 is: 83.7 ( 103 Students)
Average score for grade 8 and below is: 104.6 ( 5 Students)
Average score with unknown grade: 64.3 ( 12 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 16
Number of schools returning results 28
Average school winning score 112.88
American Mathematics Competitions
2005 AMC 12 B Results for British Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 956
Number of unofficial participants: 0
Average score of participants: 84.1
Average score for female students is: 81.1 ( 365 Students)
Average score for male students is: 86.5 ( 525 Students)
Average score for unspecified gender is 80.6 ( 66 Students)
Average score for grade 12 is: 83.1 ( 636 Students)
Average score for grade 11 is: 85.7 ( 288 Students)
Average score for grade 10 is: 94.4 ( 13 Students)
Average score for grade 9 is: 99.8 ( 3 Students)
Average score with unknown grade: 81.3 ( 16 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 146
Number of schools returning results 46
Average school winning score 107.10
Average school team score 306.14
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
386.5 1 1
367.5 1 2
365.5 1 3
362.0 1 4
358.5 1 5
357.0 1 6
351.5 1 7
350.5 1 8
342.5 1 9
340.5 1 10
339.5 1 11
338.5 1 12
335.5 1 13
335.0 1 14
334.0 1 15
332.5 1 16
332.0 1 17
331.5 1 18
326.5 1 19
324.5 1 20
322.0 2 21
318.5 1 23
317.5 1 24
314.5 1 25
313.5 1 26
312.5 1 2 27
310.5 2 30
309.5 1 32
309.0 1 33
308.0 1 34
303.5 1 35
300.0 1 36
299.0 1 37
298.5 1 38
297.0 1 39
296.5 2 40
296.0 1 42
295.5 1 43
293.5 3 44
293.0 1 47
292.0 1 48
290.5 1 49
290.0 1 50
286.5 1 51
286.0 1 52
281.5 1 53
277.5 1 54
275.0 1 55
273.0 1 56
271.5 1 57
270.5 1 58
269.0 1 59
268.0 1 60
261.5 1 61
257.0 1 62
256.5 1 63
247.5 1 64
242.0 1 65
234.0 1 66
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 1
146.5 1
144.0 1
140.5 1
138.0 2
137.0 1
133.5 1
131.0 1 1
130.0 1 3 1
129.0 1 1
127.5 2 1
125.5 1
125.0 1
124.0 1 1 1
123.0 1
122.5 1 1
122.0 1
121.5 1 3
120.5 2 1 2
120.0 2
119.5 1 3 1
119.0 1
118.5 3 1
118.0 1 1
117.0 3 1
116.0 3 5
115.5 1
115.0 1 1 1
114.5 2 2 2 1
114.0 1
113.5 1 7 1 1
113.0 1
112.5 1 5 1 2
112.0 1 1
111.5 6 1
111.0 1 3 1
110.0 4 2
109.5 1 1 1
109.0 4 8 2 1
108.5 1 1 1
108.0 2 5 1
107.5 2 1 3
106.5 2 7 5
106.0 2 1
105.5 2 9 2 6
105.0 1 1 5 1
104.5 7 5 1
104.0 2 3 2 4
103.5 1
103.0 2 12 2
102.5 1 1 4 2
102.0 5 14 2 4
101.5 3 1 3
101.0 8 8
100.5 15 3 8
100.0 4 2
99.5 5 16 4 6
99.0 3 3
98.5 6 12 2 1
98.0 1 4 5
97.5 1 5 2 2
97.0 3 13 1 4
96.5 3 2 2
96.0 7 17 10 4
95.5 2 2 1 5
95.0 7 21 2
94.5 5 10 4 5
94.0 5 14 1 1
93.5 8 12 6 5
93.0 2 3 2
92.5 5 23 5 8
92.0 5 5 4 4
91.5 6 14 4 3
91.0 2 9 2 5
90.5 3 4
90.0 8 16 9 7
89.5 3 3 7
89.0 17 26 5 9
88.5 9 12 3 5
88.0 5 9 2 7
87.5 6 14 3 7
87.0 1 5 2 2
86.5 8 24 4 4
86.0 2 5 3 2
85.5 7 21 9 1
85.0 2 11 4 8
84.5 6 15 7 8
84.0 5 16 5 7
83.5 3 3 2 4
83.0 10 16 6 3
82.5 3 8 4 4
82.0 9 14 4 4
81.5 4 10 7 6
81.0 7 14 5 6
80.5 9 21 7 9
80.0 1 6 3 1
79.5 4 15 5 6
79.0 3 11 3 9
78.5 6 6 11 3
78.0 3 11 10 9
77.5 9 7 5 1
77.0 7 24 4 6
76.5 3 3 3 8
76.0 6 5 5 10
75.5 7 4 7 9
75.0 10 7 5 2
74.5 2 8 5 10
74.0 2 6 4 5
73.5 3 11 5 3
73.0 3 7 6 2
72.5 10 6 4
72.0 5 18 4 6
71.5 3 8 8 3
71.0 5 10 5 7
70.5 3 5 6 5
70.0 7 6 7 2
69.5 3 6 5 4
69.0 2 7 5 4
68.5 2 7 7 4
68.0 3 6 2 7
67.5 4 9 1
67.0 1 6 1 1
66.5 2 3 4 4
66.0 5 9 4 5
65.5 5 4 4
65.0 3 8 2 6
64.5 2 8 5 1
64.0 2 2 3 3
63.5 1 5 1 3
63.0 3 2 9 2
62.5 4 8 4 4
62.0 3 2 8
61.5 2 3 2 3
61.0 1 3 6
60.5 1 2 4 2
60.0 2 10 4 3
59.5 5 3 3 4
59.0 2 4 2 2
58.5 2 1 2 1
58.0 4 2
57.5 1 1 1
57.0 2 2 2 2
56.5 3 3 1
56.0 2 3
55.5 2 2
55.0 2 2 1 1
54.5 2 1 1 3
54.0 7 2 3
53.5 2 2 2 1
53.0 3 2
52.5 2 1 1 2
52.0 1
51.5 1 1 1 1
51.0 2
50.5 3 1 1
50.0 2 1
49.5 1 1 1
49.0 2 3 1
48.5 1 1
48.0 1 2 1 1
47.0 1 1 1
46.5 1 1 1
45.5 1 1
45.0 2
44.5 1 2 3 1
43.0 1 1 1
42.0 1 4 2
41.5 1
41.0 1
40.5 1
39.5 1
39.0 1
38.5 1 1
38.0 1
37.5 1
36.0 2 1 8
35.5 1
35.0 1
32.5 1
30.0 1 1 2
26.5 1
24.0 1
20.5 1
17.5 1
12.0 1
American Mathematics Competitions
2005 AMC 10 A Results for British Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0 4
149.5 124.5 99.5 1 3
149.0 124.0 99.0 3
148.5 123.5 98.5 1
148.0 123.0 98.0 3 2
147.5 122.5 97.5 2
147.0 122.0 97.0 1
146.5 121.5 1 96.5 2
146.0 121.0 96.0 8 2
145.5 120.5 1 1 95.5 1
145.0 120.0 2 95.0 1 1
144.5 119.5 3 94.5 1 3
144.0 119.0 94.0 1
143.5 118.5 93.5 3 3
143.0 118.0 93.0 2 1
142.5 117.5 92.5 1 3
142.0 117.0 1 92.0 3
141.5 116.5 91.5 1 3
141.0 116.0 91.0 1 1
140.5 115.5 90.5
140.0 115.0 90.0 4 4
139.5 114.5 2 89.5 2
139.0 114.0 89.0 1 3
138.5 113.5 1 88.5 3
138.0 113.0 88.0 1 1
137.5 112.5 1 87.5 1 2
137.0 112.0 87.0 2
136.5 111.5 86.5 1 3
136.0 111.0 2 1 86.0 1 2
135.5 110.5 85.5 5 4
135.0 110.0 85.0 2 2
134.5 109.5 1 84.5 4 3
134.0 109.0 1 1 84.0 3 2
133.5 108.5 1 83.5 2
133.0 108.0 83.0 4 2
132.5 107.5 1 82.5 2 2
132.0 107.0 82.0 2 2
131.5 106.5 81.5 2 4
131.0 1 106.0 1 81.0 4
130.5 105.5 1 1 80.5 4 3
130.0 1 105.0 4 1 80.0 2 1
129.5 104.5 79.5 2 3
129.0 104.0 1 79.0 3
128.5 103.5 78.5 4 7
128.0 103.0 2 78.0 3 6
127.5 1 102.5 4 77.5 2 3
127.0 102.0 2 77.0 2 2
126.5 101.5 1 76.5 2
126.0 101.0 76.0 1 4
125.5 100.5 3 75.5 3 3
American Mathematics Competitions
2005 AMC 10 A Results for British Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 4 50.0 25.0
74.5 2 3 49.5 24.5
74.0 1 3 49.0 2 24.0
73.5 1 3 48.5 23.5
73.0 4 2 48.0 1 23.0
72.5 4 2 47.5 22.5
72.0 3 1 47.0 22.0
71.5 5 3 46.5 21.5
71.0 2 3 46.0 21.0
70.5 3 3 45.5 1 20.5
70.0 2 4 45.0 20.0
69.5 1 3 44.5 1 2 19.5
69.0 4 1 44.0 19.0
68.5 1 5 43.5 18.5
68.0 1 1 43.0 1 18.0
67.5 2 6 42.5 17.5
67.0 1 42.0 17.0
66.5 1 2 41.5 16.5
66.0 2 41.0 16.0
65.5 1 2 40.5 15.5
65.0 1 1 40.0 15.0
64.5 1 3 39.5 14.5
64.0 1 1 39.0 14.0
63.5 1 38.5 1 13.5
63.0 6 3 38.0 13.0
62.5 1 1 37.5 12.5
62.0 2 37.0 12.0
61.5 2 36.5 11.5
61.0 1 1 36.0 1 11.0
60.5 3 1 35.5 10.5
60.0 1 2 35.0 1 10.0
59.5 1 1 34.5 9.5
59.0 1 1 34.0 9.0
58.5 2 33.5 8.5
58.0 1 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 1 1 31.0 6.0
55.5 2 30.5 5.5
55.0 30.0 1 5.0
54.5 1 29.5 4.5
54.0 2 29.0 4.0
53.5 1 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 1 26.5 1.5
51.0 2 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for British Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
131.0 1
130.0 1
127.5 1
121.5 1
120.5 1 1
120.0 1 1
119.5 3
117.0 1
114.5 2
113.5 1
112.5 1
111.0 1 2
109.5 1
109.0 1 1
108.5 1
107.5 1
106.0 1
105.5 2
105.0 2 3
104.0 2
103.0 2
102.5 1 3
102.0 2
101.5 1
100.5 3
100.0 4
99.5 4
99.0 3
98.5 1 1
98.0 1 4
97.5 1 1
97.0 1
96.5 2
96.0 2 8
95.5 1
95.0 2
94.5 4
94.0 1
93.5 1 2 3
93.0 1 2
92.5 1 4
92.0 2 2
91.5 2 2
91.0 2
90.0 1 7 1
89.5 3
89.0 1 4
88.5 3
88.0 2
87.5 3
87.0 1 1
86.5 4
86.0 3
85.5 2 7
85.0 2 2
84.5 2 5
84.0 2 3
83.5 1 1
83.0 2 4
82.5 1 3
82.0 1 1 2
81.5 1 1 3 2
81.0 2 3
80.5 2 5
80.0 3
79.5 1 4
79.0 2 1
78.5 2 9
78.0 4 5 1
77.5 5
77.0 1 3
76.5 1 2
76.0 5
75.5 3 4
75.0 2 3
74.5 2 3
74.0 4
73.5 5
73.0 1 5
72.5 2 4
72.0 4
71.5 8
71.0 2 3
70.5 3 3
70.0 3 4
69.5 1 3 1
69.0 3 2
68.5 1 6
68.0 2
67.5 4 5
67.0 1
66.5 1 2 1
66.0 1 2 1
65.5 4
65.0 2
64.5 2 3
64.0 3
63.5 1
63.0 3 6
62.5 2 1 1
62.0 1 1
61.5 1 1
61.0 1 1 1
60.5 1 3
60.0 2 2
59.5 2 1
59.0 1 1
58.5 2
58.0 1 1
57.0 2
56.5 1 2
56.0 1 1
55.5 2
55.0 1
54.5 1
54.0 2
53.5 2
52.5 1
51.5 1
51.0 2
50.5 1
49.0 2 1
48.0 1
45.5 1
44.5 2 1
43.0 1
38.5 1
36.0 1
35.0 1
30.0 1
American Mathematics Competitions
2005 AMC 10 A Results for British Columbia
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.07 0.07 0.34 9.26* 0.18 0.09 0.00
2 0.07 0.07 6.40* 0.02 1.48 1.96 0.00
3 0.04 9.21* 0.25 0.29 0.02 0.18 0.00
4 0.58 2.40* 1.39 0.49 1.06 4.07 0.00
5 6.81* 0.38 2.56 0.07 0.04 0.13 0.00
6 0.20 6.90* 1.62 0.16 0.02 1.10 0.00
7 0.65 4.74* 0.29 0.34 0.54 3.44 0.00
8 0.97 0.27 5.82* 0.07 0.13 2.74 0.00
9 1.30 6.07* 0.81 0.09 0.11 1.62 0.00
10 2.70* 0.43 1.30 0.27 0.20 5.10 0.00
11 0.34 2.79* 0.13 0.90 0.13 5.71 0.00
12 0.49 2.13* 0.56 0.22 0.63 5.96 0.00
13 1.51 0.79 0.40 0.49 1.24* 5.55 0.02
14 1.21 0.63 0.49 0.38 2.90* 4.38 0.00
15 0.49 1.10 0.81 1.33 0.99* 5.28 0.00
16 0.45 0.36 0.94 2.81* 0.11 5.33 0.00
17 0.22 0.43 0.38 2.74* 0.47 5.75 0.00
18 1.03* 2.36 1.01 2.74 0.13 2.72 0.00
19 0.22 0.72 0.56 4.07* 0.31 4.11 0.00
20 0.94* 0.34 0.61 0.40 0.43 7.28 0.00
21 1.19 0.92* 0.20 0.34 0.63 6.70 0.02
22 0.92 0.40 0.29 2.79* 0.20 5.39 0.00
23 0.16 0.47 1.44* 0.83 0.94 6.16 0.00
24 1.01 0.85* 0.43 0.07 0.13 7.51 0.00
25 0.16 0.54 0.34 1.06* 0.13 7.78 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2005 AMC 12 A Results for 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 2
149.0 124.0 1 99.0
148.5 123.5 98.5 3 3
148.0 123.0 98.0 1
147.5 122.5 97.5 1
147.0 122.0 97.0 1 2
146.5 121.5 96.5
146.0 121.0 96.0 6 1
145.5 120.5 1 95.5 2
145.0 120.0 95.0 4 3
144.5 119.5 94.5 3 2
144.0 119.0 94.0 3 2
143.5 118.5 93.5 4 3
143.0 118.0 1 93.0
142.5 117.5 92.5 3 2
142.0 117.0 92.0 3 2
141.5 116.5 91.5 2 4
141.0 116.0 3 91.0 2
140.5 115.5 90.5 3
140.0 115.0 1 90.0 5 3
139.5 114.5 2 89.5
139.0 114.0 89.0 7 9
138.5 113.5 1 88.5 7 2
138.0 113.0 88.0 2 3
137.5 112.5 1 87.5 3 3
137.0 1 112.0 87.0 1
136.5 111.5 86.5 6 1
136.0 111.0 86.0 1
135.5 110.5 85.5 3 2
135.0 110.0 85.0 2
134.5 109.5 84.5 6
134.0 109.0 4 84.0 1 4
133.5 1 108.5 83.5 2
133.0 108.0 1 1 83.0 9
132.5 107.5 82.5 2 1
132.0 107.0 82.0 3 6
131.5 106.5 2 81.5 4
131.0 106.0 81.0 2 5
130.5 105.5 2 80.5 5 4
130.0 1 105.0 1 80.0 1
129.5 104.5 5 2 79.5 1 3
129.0 1 104.0 1 79.0 2 1
128.5 103.5 78.5 3 2
128.0 103.0 2 78.0 2 1
127.5 102.5 1 77.5 4 5
127.0 102.0 4 1 77.0 4 3
126.5 101.5 76.5 3
126.0 101.0 5 3 76.0 3 3
125.5 100.5 75.5 4 3
American Mathematics Competitions
2005 AMC 12 A Results for British Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 5 4 50.0 25.0
74.5 2 49.5 1 24.5
74.0 2 49.0 24.0
73.5 2 1 48.5 23.5
73.0 1 2 48.0 1 23.0
72.5 47.5 22.5
72.0 4 1 47.0 22.0
71.5 3 46.5 1 21.5
71.0 2 3 46.0 21.0
70.5 1 1 45.5 20.5
70.0 4 3 45.0 1 1 20.0
69.5 1 1 44.5 1 19.5
69.0 2 44.0 19.0
68.5 2 43.5 18.5
68.0 1 2 43.0 18.0
67.5 42.5 17.5
67.0 42.0 1 17.0
66.5 1 1 41.5 16.5
66.0 3 2 41.0 16.0
65.5 40.5 15.5
65.0 3 40.0 15.0
64.5 39.5 14.5
64.0 2 39.0 14.0
63.5 38.5 13.5
63.0 2 38.0 13.0
62.5 3 37.5 12.5
62.0 37.0 12.0
61.5 1 1 36.5 11.5
61.0 36.0 11.0
60.5 35.5 10.5
60.0 2 35.0 10.0
59.5 2 2 34.5 9.5
59.0 1 1 34.0 9.0
58.5 1 33.5 8.5
58.0 33.0 8.0
57.5 1 32.5 7.5
57.0 1 1 32.0 7.0
56.5 31.5 6.5
56.0 31.0 6.0
55.5 30.5 5.5
55.0 1 1 30.0 1 5.0
54.5 1 1 29.5 4.5
54.0 29.0 4.0
53.5 2 28.5 3.5
53.0 28.0 3.0
52.5 1 1 27.5 2.5
52.0 27.0 2.0
51.5 1 26.5 1.5
51.0 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for British Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
137.0 1
133.5 1
130.0 1
129.0 1
124.0 1
120.5 2
118.0 1
116.0 3
115.0 1
114.5 2
113.5 1
112.5 1
109.0 1 2 1
108.0 1 1
106.5 2
105.5 2
105.0 1
104.5 3 4
104.0 2
103.0 2
102.5 1
102.0 2 3
101.0 3 5
99.5 1 4
98.5 1 5
98.0 1
97.5 1
97.0 3
96.0 1 6
95.5 1 1
95.0 2 5
94.5 4 1
94.0 1 3 1
93.5 3 4 1
92.5 2 3
92.0 3 2
91.5 1 5
91.0 2
90.5 3
90.0 4 4
89.0 6 9 2
88.5 2 7
88.0 2 3
87.5 6
87.0 1
86.5 2 5 1
86.0 1 1
85.5 3 3 1
85.0 1 1
84.5 3 3
84.0 2 3
83.5 1 2
83.0 3 6 1
82.5 3
82.0 3 6
81.5 1 3
81.0 3 4
80.5 3 6
80.0 1
79.5 1 3
79.0 1 2
78.5 6
78.0 1 2
77.5 1 3 5
77.0 1 6
76.5 1 2
76.0 3 3
75.5 3 4
75.0 5 4 1
74.5 1 1
74.0 2
73.5 2 1
73.0 3
72.0 2 3
71.5 3
71.0 1 4
70.5 1 1 1
70.0 5 2
69.5 1 2
69.0 2
68.5 2
68.0 2 1
67.0 1
66.5 2
66.0 3 2
65.0 1 2
64.5 2
64.0 2
63.5 1
63.0 1 2
62.5 1 2 1
61.5 2
60.5 1
60.0 1 1
59.5 1 4
59.0 2
58.5 1 1
57.5 1
57.0 1 1
55.0 1 1
54.5 2
53.5 2
52.5 2
51.5 1
49.5 1
48.0 1
47.0 1
46.5 1
45.0 1 1
44.5 1
42.0 1
30.0 1
American Mathematics Competitions
2005 AMC 12 A Results for British Columbia
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.07 0.05 0.15 9.53* 0.05 0.15 0.00
2 0.05 9.46* 0.07 0.37 0.00 0.05 0.00
3 0.40 4.80* 1.36 0.22 0.45 2.75 0.02
4 6.98* 0.27 2.57 0.05 0.02 0.10 0.00
5 0.07 8.39* 0.94 0.07 0.02 0.50 0.00
6 0.42 6.26* 0.25 0.27 0.74 2.05 0.00
7 0.32 0.15 8.44* 0.05 0.02 1.01 0.00
8 0.35 0.52 0.50 3.47* 0.12 5.05 0.00
9 5.15* 0.42 0.94 0.25 0.17 3.07 0.00
10 0.20 3.09* 0.15 0.54 0.10 5.92 0.00
11 1.49 0.37 0.27 0.47 4.18* 3.22 0.00
12 1.21 0.37 0.22 3.56* 1.41 3.22 0.00
13 0.07 0.20 0.40 3.61* 0.30 5.42 0.00
14 0.37 0.25 3.12 1.41* 0.37 4.48 0.00
15 0.07 0.45 2.40* 0.97 0.87 5.25 0.00
16 0.27 0.35 0.79 1.14* 0.45 7.00 0.00
17 1.76* 0.42 1.34 0.25 0.54 5.69 0.00
18 0.30* 0.25 0.40 0.25 0.20 8.61 0.00
19 0.72 1.96* 0.79 0.35 0.37 5.82 0.00
20 0.20 0.07 0.15 0.17 0.30* 9.11 0.00
21 0.40 0.57 0.45* 0.10 0.15 8.34 0.00
22 0.32 0.52* 0.22 0.20 0.10 8.64 0.00
23 0.27 0.52* 0.30 0.22 0.42 8.27 0.00
24 0.07 0.15* 0.15 0.12 0.05 9.46 0.00
25 0.17 0.17 0.12* 0.10 0.12 9.31 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2005 AMC 10 B Results for British Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 1 100.0 2
149.5 124.5 99.5 2 4
149.0 124.0 1 99.0
148.5 123.5 98.5 1
148.0 123.0 98.0
147.5 122.5 1 97.5 2
147.0 122.0 1 97.0 3 1
146.5 1 121.5 1 2 96.5 1 1
146.0 121.0 96.0 4
145.5 120.5 95.5 4 1
145.0 120.0 95.0
144.5 119.5 1 94.5 3 2
144.0 1 119.0 1 94.0
143.5 118.5 1 93.5 2 3
143.0 118.0 93.0 1 1
142.5 117.5 92.5 6 2
142.0 117.0 92.0 2 2
141.5 116.5 91.5 1 2
141.0 116.0 91.0 3 2
140.5 1 115.5 1 90.5
140.0 115.0 1 90.0 5 2
139.5 114.5 1 89.5 5 2
139.0 114.0 1 89.0 4 5
138.5 113.5 1 88.5 1 3
138.0 2 113.0 1 88.0 4 3
137.5 112.5 2 87.5 4 3
137.0 112.0 1 87.0 1
136.5 111.5 1 86.5 1 1
136.0 111.0 1 86.0 1 1
135.5 110.5 85.5 1
135.0 110.0 1 1 85.0 3 4
134.5 109.5 1 84.5 5 2
134.0 109.0 1 84.0 5 1
133.5 108.5 1 83.5 3 1
133.0 108.0 1 83.0 3
132.5 107.5 2 1 82.5 1 3
132.0 107.0 82.0 1 2
131.5 106.5 4 1 81.5 5 1
131.0 1 106.0 81.0 3 3
130.5 105.5 3 3 80.5 3 5
130.0 105.0 1 80.0 1
129.5 104.5 1 79.5 2 2
129.0 1 104.0 3 1 79.0 5 3
128.5 103.5 1 78.5 3
128.0 103.0 78.0 3 5
127.5 102.5 2 77.5
127.0 102.0 2 2 77.0 2 3
126.5 101.5 1 2 76.5 5 2
126.0 101.0 76.0 6 4
125.5 1 100.5 6 2 75.5 2 6
American Mathematics Competitions
2005 AMC 10 B Results for British Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 50.0 25.0
74.5 7 3 49.5 24.5
74.0 2 2 49.0 24.0 1
73.5 3 48.5 23.5
73.0 1 1 48.0 1 23.0
72.5 1 3 47.5 22.5
72.0 3 2 47.0 1 22.0
71.5 2 1 46.5 1 21.5
71.0 3 4 46.0 21.0
70.5 3 1 45.5 1 20.5
70.0 1 1 45.0 20.0
69.5 1 3 44.5 1 19.5
69.0 1 3 44.0 19.0
68.5 1 2 43.5 18.5
68.0 5 2 43.0 18.0
67.5 42.5 17.5 1
67.0 1 42.0 1 1 17.0
66.5 1 3 41.5 1 16.5
66.0 4 1 41.0 1 16.0
65.5 3 1 40.5 15.5
65.0 2 2 40.0 15.0
64.5 1 39.5 1 14.5
64.0 1 1 39.0 14.0
63.5 1 2 38.5 13.5
63.0 1 1 38.0 1 13.0
62.5 1 2 37.5 12.5
62.0 3 3 37.0 12.0
61.5 1 2 36.5 11.5
61.0 4 36.0 3 3 11.0
60.5 2 35.5 10.5
60.0 2 1 35.0 10.0
59.5 3 1 34.5 9.5
59.0 1 1 34.0 9.0
58.5 1 33.5 8.5
58.0 33.0 8.0
57.5 1 32.5 1 7.5
57.0 2 32.0 7.0
56.5 1 31.5 6.5
56.0 2 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 2 5.0
54.5 1 2 29.5 4.5
54.0 1 1 29.0 4.0
53.5 28.5 3.5
53.0 2 28.0 3.0
52.5 1 1 27.5 2.5
52.0 27.0 2.0
51.5 1 26.5 1 1.5
51.0 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for British Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
146.5 1
144.0 1
140.5 1
138.0 2
131.0 1
129.0 1
125.5 1
125.0 1
124.0 1
122.5 1
122.0 1
121.5 1 2
119.5 1
119.0 1
118.5 1
115.5 1
115.0 1
114.5 1
114.0 1
113.5 1
113.0 1
112.5 2
112.0 1
111.5 1
111.0 1
110.0 1 1
109.5 1
109.0 1
108.5 1
108.0 1
107.5 1 2
106.5 2 3
105.5 1 5
105.0 1
104.5 1
104.0 2 2
103.5 1
102.5 1 1
102.0 1 3
101.5 1 2
100.5 4 4
100.0 2
99.5 2 4
98.5 1
97.5 1 1
97.0 4
96.5 2
96.0 1 3
95.5 5
94.5 1 4
94.0 1
93.5 1 4
93.0 1 1
92.5 2 6
92.0 1 3
91.5 1 2
91.0 5
90.0 1 1 5
89.5 2 5
89.0 1 8
88.5 1 1 2 1
88.0 3 4
87.5 7
87.0 1 1
86.5 1 3
86.0 1 1
85.5 1
85.0 1 7
84.5 1 7
84.0 1 6
83.5 4
83.0 3
82.5 1 3
82.0 4
81.5 2 4
81.0 2 4
80.5 3 6
80.0 1
79.5 1 4 1
79.0 1 8
78.5 3
78.0 1 8
77.5 1
77.0 1 4 1
76.5 4 4
76.0 3 7
75.5 3 5 1
75.0 2
74.5 1 9
74.0 3 2
73.5 2 1
73.0 1 1
72.5 1 3
72.0 1 4 1
71.5 3
71.0 7
70.5 5
70.0 2
69.5 1 3
69.0 1 3
68.5 1 2 1
68.0 1 6
67.5 1
67.0 1
66.5 2 2
66.0 4 1
65.5 4
65.0 1 5
64.5 1
64.0 3
63.5 3
63.0 2
62.5 3 1
62.0 7 1
61.5 2 1
61.0 1 4 1
60.5 2
60.0 3
59.5 1 3
59.0 2
58.5 1
57.5 1
57.0 2
56.5 1
56.0 1 1 1
55.0 1
54.5 1 2
54.0 3
53.5 1
53.0 2
52.5 2
51.5 1
50.5 1
50.0 1
49.5 1
49.0 1
48.5 1
48.0 1
47.0 1
46.5 1
45.5 1
44.5 1
43.0 1
42.0 2
41.5 1
41.0 1
39.5 1
39.0 1
38.5 1
38.0 1
36.0 1 6 1
32.5 1
30.0 2
26.5 1
24.0 1
17.5 1
American Mathematics Competitions
2005 AMC 10 B Results for British Columbia
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 8.96* 0.31 0.29 0.16 0.25 0.04 0.00
2 0.29 0.27 0.12 8.57* 0.22 0.53 0.00
3 0.02 0.72 1.41 6.44* 1.12 0.29 0.00
4 1.25 0.18 0.55 4.89* 0.37 2.76 0.00
5 0.14 0.14 8.55* 0.25 0.41 0.51 0.00
6 0.16 8.00* 0.39 0.31 0.22 0.92 0.00
7 1.10 2.84* 0.43 1.25 0.82 3.56 0.00
8 7.28* 0.10 0.92 0.06 0.10 1.53 0.00
9 0.61 0.55 1.27 5.95* 0.53 1.06 0.02
10 2.43* 0.88 0.88 0.31 0.53 4.97 0.00
11 0.35 0.67 0.49 1.41 2.39* 4.68 0.00
12 0.59 1.49 0.94 0.39 0.61* 5.97 0.00
13 0.43 0.43 2.29* 2.68 0.39 3.78 0.00
14 0.33 0.29 3.66* 1.06 0.51 4.15 0.00
15 1.25 0.74 1.06 4.34* 0.35 2.27 0.00
16 0.55 0.72 0.84 0.74* 0.18 6.97 0.00
17 0.55 3.09* 1.04 0.43 0.25 4.64 0.00
18 0.43 3.76 1.25 2.47* 0.53 1.53 0.02
19 0.43 4.99* 0.74 0.67 0.49 2.68 0.00
20 0.59 0.51 1.31* 0.43 0.35 6.81 0.00
21 0.41* 0.45 0.70 0.39 0.35 7.69 0.02
22 0.76 1.23 0.41* 0.27 0.59 6.75 0.00
23 2.09 0.74 0.86* 0.29 0.25 5.79 0.00
24 0.29 0.53 0.43 0.45 1.12* 7.18 0.00
25 0.25 0.43 2.33* 0.29 0.25 6.46 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2005 AMC 12 B Results for 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 11 4
149.0 124.0 1 99.0 2 1
148.5 123.5 98.5 6 4
148.0 123.0 1 98.0 3 1
147.5 122.5 1 97.5 2 3
147.0 122.0 97.0 7 6
146.5 121.5 96.5 3
146.0 121.0 96.0 12 5
145.5 120.5 1 95.5 1 1
145.0 120.0 95.0 10 11
144.5 119.5 1 94.5 8 2
144.0 119.0 94.0 8 6
143.5 118.5 2 1 93.5 10 2
143.0 118.0 1 93.0 1 1
142.5 117.5 92.5 15 7
142.0 117.0 2 92.0 3 1
141.5 116.5 91.5 9 5
141.0 116.0 4 1 91.0 3 5
140.5 115.5 90.5 2 1
140.0 115.0 1 90.0 13 3
139.5 114.5 2 89.5 2
139.0 114.0 89.0 18 7
138.5 113.5 3 4 88.5 8 1
138.0 113.0 88.0 4 5
137.5 112.5 4 1 87.5 7 6
137.0 112.0 1 87.0 1 4
136.5 111.5 3 3 86.5 16 7
136.0 111.0 1 86.0 4 1
135.5 110.5 85.5 7 13
135.0 110.0 3 85.0 8 2
134.5 109.5 1 84.5 5 8
134.0 109.0 5 2 84.0 9 4
133.5 108.5 83.5 2 1
133.0 108.0 3 2 83.0 7 9
132.5 107.5 1 82.5 4 4
132.0 107.0 82.0 7 7
131.5 106.5 4 2 81.5 3 6
131.0 106.0 1 1 81.0 5 7
130.5 105.5 6 2 80.5 12 7
130.0 3 105.0 1 80.0 3 3
129.5 104.5 4 79.5 3 11
129.0 104.0 2 1 79.0 6 5
128.5 103.5 78.5 3 3
128.0 103.0 8 4 78.0 4 4
127.5 2 102.5 1 77.5 4 2
127.0 102.0 11 3 77.0 14 6
126.5 101.5 3 76.5 2
126.0 101.0 4 4 76.0 3 2
125.5 100.5 13 1 75.5 3 1
American Mathematics Competitions
2005 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 5 50.0 1 25.0
74.5 3 3 49.5 1 24.5
74.0 3 3 49.0 1 1 24.0
73.5 5 4 48.5 23.5
73.0 3 4 48.0 1 23.0
72.5 4 5 47.5 22.5
72.0 9 7 47.0 1 22.0
71.5 2 5 46.5 21.5
71.0 3 7 46.0 21.0
70.5 2 3 45.5 20.5 1
70.0 4 2 45.0 20.0
69.5 3 3 44.5 1 1 19.5
69.0 2 5 44.0 19.0
68.5 3 4 43.5 18.5
68.0 1 5 43.0 18.0
67.5 3 42.5 17.5
67.0 2 3 42.0 1 2 17.0
66.5 2 1 41.5 16.5
66.0 4 4 41.0 16.0
65.5 4 1 40.5 1 15.5
65.0 4 4 40.0 15.0
64.5 4 3 39.5 14.5
64.0 2 39.0 14.0
63.5 4 1 38.5 13.5
63.0 1 1 38.0 13.0
62.5 4 4 37.5 1 12.5
62.0 2 1 37.0 12.0 1
61.5 3 36.5 11.5
61.0 1 36.0 2 11.0
60.5 1 1 35.5 1 10.5
60.0 6 4 35.0 10.0
59.5 2 1 34.5 9.5
59.0 2 1 34.0 9.0
58.5 1 33.5 8.5
58.0 1 2 33.0 8.0
57.5 32.5 7.5
57.0 1 1 32.0 7.0
56.5 1 2 31.5 6.5
56.0 31.0 6.0
55.5 1 1 30.5 5.5
55.0 1 1 30.0 5.0
54.5 1 29.5 4.5
54.0 5 2 29.0 4.0
53.5 2 28.5 3.5
53.0 2 1 28.0 3.0
52.5 1 27.5 2.5
52.0 1 27.0 2.0
51.5 1 26.5 1.5
51.0 26.0 1.0
50.5 1 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for British Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
130.0 1 2
127.5 1 1
124.0 1
123.0 1
122.5 1
120.5 1
119.5 1
118.5 1 2
118.0 1
117.0 2 1
116.0 2 3
115.0 1
114.5 1 1
113.5 1 2 4
112.5 1 1 3
112.0 1
111.5 5 1
111.0 1
110.0 1 1 2
109.5 1
109.0 1 3 4
108.5 1
108.0 2 3
107.5 1 1
106.5 4 3
106.0 1 1
105.5 4 5
105.0 1
104.5 3 2
104.0 3
103.0 5 7
102.5 1
102.0 1 3 10
101.5 1 2
101.0 2 6
100.5 3 12
99.5 3 12 1
99.0 1 2
98.5 1 5 5 1
98.0 2 2
97.5 5
97.0 6 7
96.5 1 1 1
96.0 6 11
95.5 1 1
95.0 5 16
94.5 5 5
94.0 2 12
93.5 5 7
93.0 1 1
92.5 1 7 15
92.0 1 4
91.5 3 11
91.0 2 2 5
90.5 1 3
90.0 5 10 1
89.5 3
89.0 8 18
88.5 7 4 1
88.0 1 3 5
87.5 2 12
87.0 1 4
86.5 8 14 2
86.0 1 4
85.5 5 16
85.0 4 6 1
84.5 4 11
84.0 3 13
83.5 1 1 1
83.0 5 11
82.5 1 1 6
82.0 5 9
81.5 1 9
81.0 5 9
80.5 6 15
80.0 3 3
79.5 3 11 1
79.0 4 7
78.5 1 5
78.0 2 8 1
77.5 7
77.0 6 17 1
76.5 3
76.0 5
75.5 1 3
75.0 2 5
74.5 2 6
74.0 2 4
73.5 4 6 1
73.0 7
72.5 3 6 1
72.0 7 11
71.5 1 7
71.0 4 6
70.5 5
70.0 4 2
69.5 1 4 1
69.0 2 5
68.5 2 5
68.0 1 5
67.5 4
67.0 2 4
66.5 1 2
66.0 3 6
65.5 2 3
65.0 3 5
64.5 3 5
64.0 2
63.5 2 3
63.0 2
62.5 2 6
62.0 3
61.5 3
61.0 1
60.5 2
60.0 1 9
59.5 2 1
59.0 1 3
58.5 1
58.0 2 2
57.5 1
57.0 2
56.5 1 2
55.5 1 1
55.0 1 1
54.5 1
54.0 2 5
53.5 1 1
53.0 2 1
52.5 1
52.0 1
51.5 1
50.5 1 2
50.0 1 1
49.5 1
49.0 2
48.5 1
48.0 1 1
47.0 1
46.5 1
44.5 2
43.0 1
42.0 1 3
40.5 1
37.5 1
36.0 2
35.5 1
20.5 1
12.0 1
American Mathematics Competitions
2005 AMC 12 B Results for British Columbia
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.45* 0.10 0.23 0.07 0.08 0.06 0.00
2 0.08 0.19 0.05 9.23* 0.14 0.31 0.00
3 0.06 0.04 9.21* 0.12 0.28 0.29 0.00
4 0.21 8.70* 0.26 0.20 0.13 0.50 0.00
5 8.26* 0.08 0.55 0.02 0.02 1.06 0.00
6 4.31* 0.70 0.51 0.32 0.22 3.93 0.00
7 1.23 1.75 0.20 2.86* 0.39 3.57 0.01
8 1.29 1.72 4.97* 0.04 0.83 1.16 0.00
9 0.47 6.44* 0.74 0.45 0.21 1.68 0.00
10 0.19 0.36 0.18 1.78 4.00* 3.50 0.00
11 0.89 1.57 0.90 4.30* 0.26 2.08 0.00
12 0.39 0.71 1.15 1.56* 0.07 6.12 0.00
13 0.60 0.44 0.25 3.58* 0.24 4.90 0.00
14 0.75 1.13 0.91 0.36 1.44* 5.41 0.00
15 0.67 0.23 0.31 4.26* 0.50 4.03 0.00
16 0.22 0.26 0.74 0.71* 0.25 7.81 0.00
17 0.49 0.96* 0.44 0.19 0.89 7.03 0.00
18 1.06 0.56 0.63* 0.36 0.26 7.13 0.00
19 0.20 0.21 0.08 0.38 2.15* 6.98 0.00
20 0.16 0.39 4.10* 0.69 1.51 3.16 0.00
21 0.18 0.27 0.51* 0.48 0.28 8.27 0.00
22 0.22 0.59 0.21 0.21 0.19* 8.59 0.00
23 0.21 0.33* 0.17 0.21 0.03 9.05 0.00
24 0.20* 0.28 0.24 0.30 0.23 8.74 0.00
25 0.23* 0.32 0.20 0.30 0.23 8.71 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column