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Missing Title
American Mathematics Competitions
2005 AMC 10 A Results for Ontario
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 363
Number of unofficial participants: 0
Average score of participants: 77.0
Average score for female students is: 72.6 ( 93 Students)
Average score for male students is: 78.6 ( 241 Students)
Average score for unspecified gender is 78.2 ( 29 Students)
Average score for grade 10 is: 76.5 ( 224 Students)
Average score for grade 9 is: 78.1 ( 113 Students)
Average score for grade 8 and below is: 75.7 ( 12 Students)
Average score with unknown grade: 77.8 ( 14 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 7
Number of schools returning results 11
Average school winning score 109.05
American Mathematics Competitions
2005 AMC 12 A Results for Ontario
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 500
Number of unofficial participants: 0
Average score of participants: 89.0
Average score for female students is: 86.9 ( 140 Students)
Average score for male students is: 90.4 ( 324 Students)
Average score for unspecified gender is 85.3 ( 36 Students)
Average score for grade 13 is: 95.0 ( 1 Student)
Average score for grade 12 is: 91.5 ( 198 Students)
Average score for grade 11 is: 86.3 ( 208 Students)
Average score for grade 10 is: 91.4 ( 47 Students)
Average score for grade 9 is: 89.2 ( 18 Students)
Average score for grade 8 and below is: 105.3 ( 4 Students)
Average score with unknown grade: 84.0 ( 24 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 124
Number of schools returning results 15
Average school winning score 117.83
Average school team score 332.97
American Mathematics Competitions
2005 AMC 10 B Results for Ontario
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 482
Number of unofficial participants: 7
Average score of participants: 78.9
Average score for female students is: 74.8 ( 197 Students)
Average score for male students is: 82.7 ( 247 Students)
Average score for unspecified gender is 75.0 ( 38 Students)
Average score for grade 10 is: 80.3 ( 327 Students)
Average score for grade 9 is: 75.6 ( 140 Students)
Average score for grade 8 and below is: 87.3 ( 2 Students)
Average score with unknown grade: 78.7 ( 13 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 14
Number of schools returning results 26
Average school winning score 113.00
American Mathematics Competitions
2005 AMC 12 B Results for Ontario
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 807
Number of unofficial participants: 10
Average score of participants: 86.9
Average score for female students is: 84.2 ( 299 Students)
Average score for male students is: 89.2 ( 465 Students)
Average score for unspecified gender is 81.5 ( 43 Students)
Average score for grade 13 is: 76.4 ( 5 Students)
Average score for grade 12 is: 86.6 ( 448 Students)
Average score for grade 11 is: 87.1 ( 258 Students)
Average score for grade 10 is: 87.9 ( 59 Students)
Average score for grade 9 is: 96.0 ( 14 Students)
Average score for grade 8 and below is: 132.8 ( 2 Students)
Average score with unknown grade: 81.0 ( 21 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 189
Number of schools returning results 37
Average school winning score 114.57
Average school team score 318.15
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
415.5 1 1
394.5 1 2
391.0 1 3
385.0 1 4
381.0 1 5
374.5 1 6
373.5 1 7
366.5 1 8
363.5 1 9
356.0 1 10
354.5 1 11
354.0 1 12
353.0 1 13
349.0 1 14
346.5 1 15
346.0 1 16
338.5 2 17
337.0 1 19
336.0 1 20
334.5 1 21
333.5 1 22
327.0 1 23
326.0 1 1 24
321.5 1 26
321.0 1 27
320.5 1 28
317.5 1 29
316.5 1 30
314.0 1 31
313.0 1 32
312.0 1 33
310.0 1 34
309.0 1 35
307.5 1 36
304.5 1 37
304.0 1 38
297.5 2 39
296.0 1 41
286.0 1 42
283.5 2 43
279.0 1 45
274.0 1 46
272.0 1 47
271.5 1 48
271.0 1 49
260.0 1 50
256.5 1 51
166.0 1 52
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
144.0 1
140.5 1 3
139.5 2
138.0 3 1 1
137.0 1 2 1
134.5 1 1 2
133.5 1
132.5 2
132.0 1
131.0 1
130.0 1
129.0 1 2 2
128.5 2 1
127.5 1
126.5 1
126.0 1 1
125.5 1
125.0 1 1
124.0 2 3
123.0 2 3 1
122.5 1
122.0 2 1
121.5 1 1
120.5 2 1 1 1
119.5 2 1
119.0 1
118.5 2 2
118.0 2
117.0 3 2 1
116.0 1 2 3
115.5 2 1 2 1
115.0 2 2
114.5 4 1 1
113.5 4 5
113.0 1
112.5 11 8 1
112.0 1 2 1
111.5 1 9 1
111.0 2 2 3 1
110.0 1 8 1 2
109.5 1 1 1
109.0 4 10 1 1
108.5 1 1 3
108.0 6 7 1
107.5 4 8 2
106.5 3 6 8
106.0 1 1
105.5 7 10 1
105.0 1 4 1
104.5 11 5 1
104.0 5 4 5
103.5 1 2
103.0 5 12 1 2
102.5 3 2 2
102.0 11 14 4 5
101.5 5 2
101.0 10 13 1 1
100.5 4 12 2 4
100.0 1 1 1 2
99.5 7 13 2 3
99.0 4 2 3 1
98.5 13 8 1 2
98.0 2 3 8
97.5 2 3 3 2
97.0 3 12 1 4
96.5 2 3
96.0 11 18 3 6
95.5 1 4
95.0 12 22 4 4
94.5 2 8 3 3
94.0 2 3 4 1
93.5 5 16 1 3
93.0 1 5 3
92.5 10 17 1 4
92.0 1 10 1 2
91.5 10 9 2 2
91.0 6 4 3 3
90.5 4 2 1 2
90.0 12 21 2 7
89.5 8 1 1
89.0 11 26 6 5
88.5 6 9 4 3
88.0 11 4 2 2
87.5 5 8 4 10
87.0 2 5 1 6
86.5 8 14 5 5
86.0 3 1 4 4
85.5 9 11 2 3
85.0 5 8 6 8
84.5 9 5 2 4
84.0 11 12 2 7
83.5 3 1 3
83.0 17 17 6 3
82.5 2 3 1 4
82.0 6 5 5 6
81.5 5 8 1 6
81.0 3 5 6 6
80.5 4 17 8 4
80.0 4 5 5 2
79.5 13 6 5 6
79.0 6 4 4 4
78.5 9 3 8 7
78.0 6 24 11 8
77.5 2 4 2 3
77.0 13 20 6 5
76.5 3 4 2 5
76.0 4 5 11 5
75.5 2 3 5 9
75.0 5 4 6 3
74.5 4 13 4 2
74.0 1 6 3 5
73.5 6 4 7 3
73.0 8 3 4
72.5 5 7 6 7
72.0 6 11 8 20
71.5 4 4 4 7
71.0 2 5 6 6
70.5 3 3 2 5
70.0 2 3 4 1
69.5 1 6 1 2
69.0 3 3 4 3
68.5 5 3 3
68.0 3 5 4
67.5 4 8 2 2
67.0 2 2 5 4
66.5 3 2 1 4
66.0 3 11 6 11
65.5 2 1 3
65.0 5 2 5 2
64.5 1 1 4 5
64.0 1 2 4 2
63.5 2 3 2
63.0 1 2 5 4
62.5 5 3 6
62.0 1 1 1 4
61.5 2 3 1
61.0 2 2
60.5 1 2 3
60.0 4 15 4 7
59.5 1 4
59.0 5 2 2
58.5 1 2 2
58.0 2 1 2
57.5 1 1 2
57.0 1 3
56.5 4 4
56.0 2 1
55.5 1 2 5
55.0 1 2
54.5 1 1 2
54.0 7 2 2
53.5 1 1
53.0 1 2 1
52.5 1
52.0 1
51.5 2 2 4
50.5 1 1
50.0 1 2
49.5 1 1 3 1
49.0 1 1 1
48.5 3
48.0 4 6 3
47.5 1 2
47.0 1 1
46.5 1 2 1
46.0 2
45.5 1
45.0 1 1 1
44.5 1 1
43.5 2 1
43.0 1
42.5 1
42.0 1 4 5 4
41.0 1
40.5 1
40.0 1
39.0 1 1 1
38.5 1
37.5 1
36.5 1
36.0 1 2 1 4
35.5 1 1
35.0 1 2
34.0 1
33.0 1
32.5 1 1
30.5 1 1
30.0 1 1
29.0 2
26.5 1 1
24.0 1
23.0 1
18.0 2
American Mathematics Competitions
2005 AMC 10 A 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 1
149.5 124.5 99.5 2
149.0 124.0 99.0 3
148.5 123.5 98.5 1
148.0 123.0 1 98.0
147.5 122.5 97.5 3
147.0 122.0 97.0 1
146.5 121.5 1 96.5
146.0 121.0 96.0 3
145.5 120.5 1 95.5
145.0 120.0 95.0 3 1
144.5 119.5 94.5 2
144.0 119.0 94.0 3
143.5 118.5 93.5 1
143.0 118.0 2 93.0 3 1
142.5 117.5 92.5 1
142.0 117.0 2 92.0 1
141.5 116.5 91.5 1 1
141.0 116.0 91.0 3
140.5 115.5 1 90.5 1
140.0 115.0 90.0 2
139.5 114.5 1 89.5
139.0 114.0 89.0 4 2
138.5 113.5 88.5 4
138.0 113.0 88.0 1 1
137.5 112.5 87.5 2 1
137.0 112.0 87.0 1
136.5 111.5 86.5 5
136.0 111.0 2 1 86.0 2 1
135.5 110.5 85.5 1 1
135.0 110.0 1 85.0 6
134.5 1 109.5 84.5 2
134.0 109.0 84.0 2
133.5 108.5 1 83.5
133.0 108.0 83.0 4 2
132.5 107.5 82.5 1
132.0 1 107.0 82.0 3 2
131.5 106.5 81.5 1
131.0 106.0 1 81.0 2 3
130.5 105.5 80.5 5 1
130.0 105.0 80.0 3 1
129.5 104.5 79.5 5
129.0 104.0 79.0 2 1
128.5 103.5 78.5 8
128.0 103.0 1 78.0 4 4
127.5 102.5 2 77.5 1 1
127.0 102.0 3 77.0 6
126.5 101.5 76.5 1
126.0 1 101.0 1 76.0 5 6
125.5 100.5 2 75.5 4 1
American Mathematics Competitions
2005 AMC 10 A Results for Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 2 50.0 25.0
74.5 3 1 49.5 1 2 24.5
74.0 3 49.0 1 24.0
73.5 5 1 48.5 23.5
73.0 2 1 48.0 3 2 23.0
72.5 4 1 47.5 22.5
72.0 5 3 47.0 1 22.0
71.5 4 46.5 2 21.5
71.0 6 46.0 21.0
70.5 2 45.5 1 20.5
70.0 3 1 45.0 1 20.0
69.5 1 44.5 19.5
69.0 2 2 44.0 19.0
68.5 1 1 43.5 1 1 18.5
68.0 3 2 43.0 18.0
67.5 2 42.5 17.5
67.0 1 4 42.0 4 1 17.0
66.5 1 41.5 16.5
66.0 2 2 41.0 16.0
65.5 1 2 40.5 15.5
65.0 3 2 40.0 15.0
64.5 1 3 39.5 14.5
64.0 1 2 39.0 14.0
63.5 2 1 38.5 1 13.5
63.0 2 2 38.0 13.0
62.5 1 1 37.5 12.5
62.0 1 37.0 12.0
61.5 3 36.5 1 11.5
61.0 2 36.0 1 11.0
60.5 2 35.5 1 10.5
60.0 1 3 35.0 10.0
59.5 1 34.5 9.5
59.0 1 1 34.0 9.0
58.5 2 33.5 8.5
58.0 33.0 8.0
57.5 1 32.5 7.5
57.0 32.0 7.0
56.5 3 1 31.5 6.5
56.0 31.0 6.0
55.5 30.5 5.5
55.0 2 30.0 5.0
54.5 1 29.5 4.5
54.0 2 29.0 4.0
53.5 28.5 3.5
53.0 2 28.0 3.0
52.5 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 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Ontario
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
134.5 1
132.0 1
126.0 1
125.0 1
123.0 1
121.5 1
120.5 1
118.0 1 1
117.0 2
115.5 1 1
114.5 1
111.0 2 1
110.0 1
109.0 1
108.5 1
106.0 1
103.0 1
102.5 1 1
102.0 1 3
101.0 1
100.5 1 1
100.0 1
99.5 2
99.0 1 2
98.5 1
97.5 1 2
97.0 1
96.0 3
95.0 2 2
94.5 1 2
94.0 1 3
93.5 1
93.0 1 3 1
92.5 1
92.0 1
91.5 2
91.0 1 2
90.5 1
90.0 2
89.5 1
89.0 4 2
88.5 1 1 2
88.0 1 1
87.5 2 1 1
87.0 1
86.5 1 4
86.0 4
85.5 2
85.0 1 5
84.5 1 1
84.0 1 1
83.0 2 4
82.5 1
82.0 1 2 2
81.5 1
81.0 3 3
80.5 4 3 1
80.0 1 4
79.5 1 4
79.0 1 1 2
78.5 1 3 4
78.0 2 6 3
77.5 1 1
77.0 3 3
76.5 1 1
76.0 1 2 8
75.5 1 4
75.0 3 3
74.5 4
74.0 1 2
73.5 3 4
73.0 3
72.5 2 3 1
72.0 1 7
71.5 1 3
71.0 2 4
70.5 1 1
70.0 1 3
69.5 1
69.0 1 3
68.5 2 1
68.0 1 4
67.5 2
67.0 1 4
66.5 1
66.0 1 3 2
65.5 1 2
65.0 5
64.5 1 3
64.0 2 2
63.5 1 1 1
63.0 1 3 1
62.5 1 2
62.0 1
61.5 2 1
61.0 2
60.5 1 1
60.0 1 3
59.5 1
59.0 2
58.5 2
57.5 1
56.5 1 3
55.0 2
54.5 1
54.0 2
53.0 1 1
51.5 1 1
50.0 1
49.5 3
49.0 1
48.0 6
47.0 1
46.5 2
45.5 1
45.0 1
43.5 1 1
42.0 1 1 3
38.5 1
36.5 1
36.0 1
35.5 1
26.5 1
American Mathematics Competitions
2005 AMC 10 A Results for Ontario
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 0.17 0.08 0.22 9.01* 0.41 0.11 0.00
2 0.11 0.25 5.92* 0.00 2.04 1.68 0.00
3 0.00 8.71* 0.39 0.55 0.08 0.28 0.00
4 0.69 2.67* 1.71 0.52 0.69 3.72 0.00
5 5.87* 0.36 3.53 0.11 0.06 0.08 0.00
6 0.39 6.56* 2.01 0.17 0.08 0.80 0.00
7 0.55 4.27* 0.22 0.50 0.74 3.72 0.00
8 0.85 0.17 5.56* 0.08 0.30 3.03 0.00
9 1.27 6.03* 0.83 0.36 0.11 1.40 0.00
10 1.90* 0.50 1.13 0.41 0.11 5.95 0.00
11 0.39 2.37* 0.30 0.69 0.22 6.03 0.00
12 0.36 1.82* 0.55 0.28 0.72 6.28 0.00
13 1.24 0.50 0.30 0.47 1.29* 6.20 0.00
14 0.99 0.58 0.61 0.74 2.84* 4.24 0.00
15 0.66 0.91 0.69 1.05 0.77* 5.92 0.00
16 0.47 0.36 1.05 2.92* 0.14 5.07 0.00
17 0.11 0.30 0.39 2.42* 0.50 6.28 0.00
18 1.05* 2.75 0.94 2.20 0.39 2.67 0.00
19 0.30 0.55 0.80 3.42* 0.44 4.49 0.00
20 0.88* 0.19 0.55 0.22 0.30 7.85 0.00
21 0.91 0.72* 0.17 0.22 0.83 7.16 0.00
22 0.74 0.25 0.14 2.62* 0.50 5.76 0.00
23 0.28 0.36 1.13* 1.02 0.63 6.58 0.00
24 0.55 0.66* 0.39 0.08 0.08 8.24 0.00
25 0.33 0.55 0.66 0.63* 0.19 7.63 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 Ontario
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 7
149.0 124.0 1 1 99.0 2 1
148.5 123.5 98.5 9 3
148.0 123.0 2 98.0 1 1
147.5 122.5 97.5 1
147.0 122.0 2 97.0 2 1
146.5 121.5 1 96.5
146.0 121.0 96.0 7 3
145.5 120.5 2 95.5 1
145.0 120.0 95.0 9 3
144.5 119.5 2 94.5 2
144.0 119.0 94.0 1 1
143.5 118.5 2 93.5 3 2
143.0 118.0 93.0
142.5 117.5 92.5 7 3
142.0 117.0 92.0 1
141.5 116.5 91.5 6 2
141.0 116.0 1 91.0 3 2
140.5 1 115.5 2 90.5 3 1
140.0 115.0 2 90.0 7 4
139.5 114.5 4 89.5
139.0 114.0 89.0 8 2
138.5 113.5 4 88.5 6
138.0 1 1 113.0 88.0 7 4
137.5 112.5 6 5 87.5 3 1
137.0 1 112.0 1 87.0 2
136.5 111.5 1 86.5 5 2
136.0 111.0 1 1 86.0 3
135.5 110.5 85.5 7 1
135.0 110.0 1 85.0 3 1
134.5 109.5 1 84.5 4 4
134.0 109.0 3 1 84.0 7 2
133.5 108.5 1 83.5 3
133.0 108.0 4 2 83.0 11 4
132.5 107.5 4 82.5 2
132.0 107.0 82.0 3 3
131.5 106.5 3 81.5 3 2
131.0 106.0 81.0 1 1
130.5 105.5 6 1 80.5 1 2
130.0 105.0 1 80.0 2 2
129.5 104.5 9 1 79.5 7 5
129.0 1 104.0 3 2 79.0 4 2
128.5 103.5 78.5 5 4
128.0 103.0 3 2 78.0 5
127.5 102.5 77.5 2
127.0 102.0 10 77.0 7 5
126.5 1 101.5 76.5 2 1
126.0 101.0 6 3 76.0 2 2
125.5 100.5 3 75.5 2
American Mathematics Competitions
2005 AMC 12 A Results for Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 1 50.0 25.0
74.5 1 1 49.5 1 24.5
74.0 1 49.0 24.0
73.5 2 4 48.5 23.5
73.0 48.0 23.0
72.5 3 1 47.5 22.5
72.0 6 47.0 22.0
71.5 3 1 46.5 21.5
71.0 1 1 46.0 21.0
70.5 1 2 45.5 20.5
70.0 1 1 45.0 1 20.0
69.5 1 44.5 19.5
69.0 2 1 44.0 19.0
68.5 43.5 18.5
68.0 3 43.0 18.0
67.5 1 2 42.5 17.5
67.0 1 42.0 1 17.0
66.5 1 1 41.5 16.5
66.0 2 1 41.0 16.0
65.5 2 40.5 15.5
65.0 1 3 40.0 15.0
64.5 1 39.5 14.5
64.0 1 39.0 1 14.0
63.5 38.5 13.5
63.0 1 38.0 13.0
62.5 37.5 12.5
62.0 1 37.0 12.0
61.5 2 36.5 11.5
61.0 36.0 1 11.0
60.5 35.5 10.5
60.0 3 1 35.0 1 10.0
59.5 34.5 9.5
59.0 34.0 9.0
58.5 33.5 8.5
58.0 2 33.0 8.0
57.5 32.5 7.5
57.0 32.0 7.0
56.5 31.5 6.5
56.0 31.0 6.0
55.5 1 30.5 5.5
55.0 1 30.0 1 5.0
54.5 29.5 4.5
54.0 29.0 4.0
53.5 28.5 3.5
53.0 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 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Ontario
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
140.5 1
138.0 1 2
137.0 1
129.0 1
126.5 1
125.0 1
124.0 2
123.0 1 1
122.0 2
121.5 1
120.5 1 1
119.5 2
118.5 1 1
116.0 1
115.5 1 1
115.0 2
114.5 1 1 2
113.5 1 1 2
112.5 2 3 6
112.0 1
111.5 1
111.0 1 1
110.0 1
109.5 1
109.0 1 1 2
108.5 1
108.0 2 3 1
107.5 1 3
106.5 3
105.5 4 3
105.0 1
104.5 6 4 1
104.0 1 4
103.0 1 4
102.0 1 2 3 4 1
101.0 2 5 3
100.5 1 2 1
100.0 1
99.5 1 2 4
99.0 1 2 1
98.5 1 1 3 8
98.0 2
97.5 1 1
97.0 1 2
96.0 5 6
95.5 1
95.0 2 3 2 4 1
94.5 1 1
94.0 1 1
93.5 1 2 2
92.5 1 1 7 1
92.0 1
91.5 6 3 1
91.0 2 1 2 1
90.5 3 1
90.0 1 2 6 3
89.0 1 1 6 3
88.5 4 2
88.0 1 1 7 2
87.5 1 2 1 1
87.0 2
86.5 1 3 3 1
86.0 1 2
85.5 1 6 1 1
85.0 1 2 2
84.5 2 6 1
84.0 2 4 4 1
83.5 3
83.0 1 1 5 8 2
82.5 2
82.0 2 2 2
81.5 2 3
81.0 1 1 1
80.5 1 1 1 1
80.0 3 1
79.5 1 8 4
79.0 3 3
78.5 5 4
78.0 5 1
77.5 1 1
77.0 2 1 6 3 1
76.5 1 2
76.0 2 2
75.5 1 1
75.0 1 4
74.5 2 1 1
74.0 1
73.5 1 2 3
72.5 1 2 1 1
72.0 4 2
71.5 1 2 1
71.0 2
70.5 2 1
70.0 1 1
69.5 1
69.0 1 2
68.0 1 2
67.5 2 1 1
67.0 2
66.5 2 1
66.0 3
65.5 1 1
65.0 4 1
64.5 1
64.0 1
63.0 1
62.0 1
61.5 2
60.0 1 3
58.0 2
55.5 1
55.0 1
53.0 1
49.5 1
45.0 1
42.0 1
39.0 1
36.0 1
35.0 1
32.5 1
30.0 1
American Mathematics Competitions
2005 AMC 12 A Results for Ontario
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 0.04 0.02 0.16 9.64* 0.10 0.04 0.00
2 0.00 9.58* 0.06 0.34 0.02 0.00 0.00
3 0.38 5.96* 0.78 0.34 0.48 2.06 0.00
4 7.60* 0.20 2.08 0.06 0.00 0.06 0.00
5 0.12 9.04* 0.58 0.02 0.00 0.24 0.00
6 0.46 6.72* 0.14 0.18 0.58 1.92 0.00
7 0.20 0.14 8.72* 0.06 0.16 0.72 0.00
8 0.30 0.30 0.24 5.06* 0.22 3.88 0.00
9 6.24* 0.30 0.70 0.28 0.06 2.42 0.00
10 0.20 4.66* 0.18 0.50 0.24 4.22 0.00
11 1.20 0.38 0.26 0.30 5.08* 2.76 0.02
12 1.48 0.30 0.28 3.48* 1.10 3.34 0.02
13 0.04 0.12 0.38 4.70* 0.08 4.68 0.00
14 0.22 0.26 3.02 1.42* 0.12 4.96 0.00
15 0.44 0.26 2.62* 0.76 0.68 5.24 0.00
16 0.20 0.30 0.54 1.14* 0.22 7.60 0.00
17 2.46* 0.26 1.14 0.24 0.40 5.50 0.00
18 0.54* 0.52 0.30 0.16 0.06 8.42 0.00
19 0.70 2.16* 0.42 0.20 0.46 6.06 0.00
20 0.20 0.12 0.24 0.04 0.28* 9.12 0.00
21 0.16 0.34 0.46* 0.26 0.02 8.76 0.00
22 0.24 0.80* 0.14 0.20 0.14 8.48 0.00
23 0.14 0.70* 0.32 0.10 0.36 8.38 0.00
24 0.08 0.12* 0.18 0.24 0.02 9.36 0.00
25 0.14 0.14 0.26* 0.16 0.08 9.22 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 Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 1
149.5 124.5 99.5 2 1
149.0 124.0 99.0 1
148.5 123.5 98.5 2
148.0 123.0 98.0 3 5
147.5 122.5 97.5 1
147.0 122.0 1 97.0 2 1
146.5 121.5 96.5 2
146.0 121.0 96.0 4 2
145.5 120.5 1 95.5
145.0 120.0 95.0 2 2
144.5 119.5 94.5 1 1
144.0 1 119.0 94.0 1
143.5 118.5 93.5 1 1
143.0 118.0 93.0 1 2
142.5 117.5 92.5 3 1
142.0 117.0 1 92.0 2
141.5 116.5 91.5 2
141.0 116.0 2 1 91.0 2 1
140.5 2 1 115.5 1 90.5 2
140.0 115.0 90.0 2 4
139.5 114.5 89.5 1
139.0 114.0 89.0 1 3
138.5 113.5 88.5 3
138.0 1 113.0 88.0 1 1
137.5 112.5 1 87.5 6 4
137.0 1 112.0 1 87.0 4 1
136.5 111.5 1 86.5 3 2
136.0 111.0 1 86.0 3 1
135.5 110.5 85.5 2 1
135.0 110.0 2 85.0 5 3
134.5 2 109.5 1 84.5 2 2
134.0 109.0 1 84.0 5 1
133.5 108.5 2 1 83.5 2 1
133.0 108.0 1 83.0 1 1
132.5 107.5 2 82.5 3 1
132.0 107.0 82.0 4 2
131.5 106.5 4 2 81.5 4 1
131.0 106.0 1 81.0 1 4
130.5 105.5 1 80.5 2 2
130.0 105.0 1 80.0 2
129.5 104.5 1 79.5 2 3
129.0 2 104.0 3 2 79.0 3 1
128.5 103.5 1 1 78.5 4 3
128.0 103.0 1 1 78.0 5 3
127.5 102.5 2 77.5 2
127.0 102.0 4 1 77.0 2 3
126.5 101.5 1 1 76.5 3 1
126.0 1 101.0 1 76.0 4 1
125.5 100.5 2 2 75.5 5 3
American Mathematics Competitions
2005 AMC 10 B Results for Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 2 50.0 1 1 25.0
74.5 2 49.5 1 24.5
74.0 2 2 49.0 1 24.0
73.5 1 2 48.5 2 1 23.5
73.0 4 48.0 1 2 23.0 1
72.5 6 1 47.5 2 22.5
72.0 10 9 47.0 1 22.0
71.5 6 1 46.5 1 21.5
71.0 3 2 46.0 21.0
70.5 3 2 45.5 20.5
70.0 1 45.0 1 20.0
69.5 1 1 44.5 1 19.5
69.0 1 2 44.0 19.0
68.5 3 43.5 1 18.5
68.0 2 2 43.0 18.0 2
67.5 1 1 42.5 1 17.5
67.0 1 3 42.0 3 17.0
66.5 1 3 41.5 16.5
66.0 7 2 41.0 16.0
65.5 40.5 15.5
65.0 1 40.0 1 15.0
64.5 4 39.5 14.5
64.0 2 39.0 1 14.0
63.5 1 1 38.5 13.5
63.0 4 38.0 13.0
62.5 1 5 37.5 1 12.5
62.0 1 2 37.0 12.0
61.5 1 36.5 11.5
61.0 36.0 3 1 11.0
60.5 1 2 35.5 10.5
60.0 5 35.0 1 10.0
59.5 3 1 34.5 9.5
59.0 1 34.0 1 9.0
58.5 2 33.5 8.5
58.0 2 33.0 8.0
57.5 1 1 32.5 1 7.5
57.0 1 2 32.0 7.0
56.5 31.5 6.5
56.0 1 31.0 6.0
55.5 2 30.5 1 5.5
55.0 30.0 5.0
54.5 2 29.5 4.5
54.0 2 29.0 2 4.0
53.5 1 28.5 3.5
53.0 1 28.0 3.0
52.5 27.5 2.5
52.0 27.0 2.0
51.5 2 2 26.5 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 Ontario
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
144.0 1
140.5 1 2
138.0 1
137.0 1
134.5 1 1
129.0 2
128.5 1
126.0 1
122.0 1
120.5 1
117.0 1
116.0 2 1
115.5 1
112.5 1
112.0 1
111.5 1
111.0 1
110.0 1 1
109.5 1
109.0 1
108.5 3
108.0 1
107.5 1 1
106.5 2 5 1
106.0 1
105.5 1
105.0 1
104.5 1
104.0 1 4
103.5 1 1
103.0 1 1
102.5 2
102.0 2 3
101.5 2
101.0 1
100.5 1 3
100.0 1 1
99.5 3
99.0 1
98.5 2
98.0 5 3
97.5 1 1
97.0 3 1
96.5 2 1
96.0 3 3
95.0 1 3
94.5 1 2
94.0 1
93.5 3
93.0 2 1
92.5 4
92.0 2
91.5 1 1
91.0 3
90.5 2
90.0 2 4 1
89.5 1
89.0 5
88.5 3
88.0 1 1
87.5 10
87.0 2 4
86.5 1 4
86.0 1 3
85.5 1 2
85.0 2 6
84.5 4
84.0 5 2
83.5 3
83.0 3
82.5 1 3
82.0 2 4
81.5 3 3
81.0 5 1
80.5 4
80.0 2
79.5 1 5
79.0 4
78.5 4 3
78.0 2 5 1
77.5 2 1
77.0 2 3
76.5 3 2
76.0 3 2
75.5 3 6
75.0 3
74.5 2
74.0 1 3 1
73.5 2 1
73.0 4
72.5 3 4
72.0 6 14
71.5 1 6
71.0 1 2 2 1
70.5 5
70.0 1
69.5 2
69.0 3
68.5 1 2
68.0 1 3
67.5 2
67.0 2 2
66.5 2 2
66.0 4 6 1
65.0 2
64.5 5
64.0 2
63.5 1 1
63.0 4
62.5 2 4
62.0 4
61.5 1
60.5 1 2
60.0 5 1 1
59.5 1 3
59.0 2
58.5 1 1
58.0 1 1
57.5 2
57.0 1 2
56.0 1
55.5 1 4
54.5 2
54.0 2
53.5 1
53.0 1
51.5 4
50.5 1
50.0 1 1
49.5 1
49.0 1
48.5 2 1
48.0 2 1
47.5 2
47.0 1
46.5 1
45.0 1
44.5 1
43.5 1
42.5 1
42.0 3 1
40.0 1
39.0 1
37.5 1
36.0 1 3
35.0 1 1
34.0 1
33.0 1
32.5 1
30.5 1
30.0 1
29.0 2
23.0 1
18.0 2
American Mathematics Competitions
2005 AMC 10 B Results for Ontario
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 8.55* 0.27 0.52 0.29 0.35 0.02 0.00
2 0.17 0.17 0.15 8.94* 0.21 0.37 0.00
3 0.04 0.79 1.08 6.91* 0.93 0.25 0.00
4 1.45 0.08 0.73 4.96* 0.41 2.37 0.00
5 0.10 0.06 8.92* 0.17 0.44 0.31 0.00
6 0.23 8.42* 0.39 0.21 0.27 0.48 0.00
7 1.35 2.12* 0.54 1.62 1.10 3.28 0.00
8 7.53* 0.27 0.98 0.06 0.08 1.08 0.00
9 0.73 0.62 1.70 5.52* 0.77 0.66 0.00
10 2.18* 1.37 1.02 0.35 0.52 4.56 0.00
11 0.52 0.54 0.52 1.83 3.15* 3.44 0.00
12 0.77 1.51 0.89 0.87 0.64* 5.29 0.02
13 0.89 0.58 2.59* 2.39 0.37 3.17 0.00
14 0.44 0.50 3.65* 1.78 0.68 2.95 0.00
15 1.43 0.50 0.91 4.83* 0.68 1.64 0.00
16 0.48 1.31 1.06 0.71* 0.21 6.24 0.00
17 0.58 3.11* 1.29 0.71 0.25 4.07 0.00
18 0.39 4.56 1.16 2.24* 0.83 0.81 0.00
19 0.58 6.04* 0.85 0.66 0.50 1.37 0.00
20 0.77 0.68 2.12* 0.66 0.73 5.04 0.00
21 0.41* 0.85 0.60 0.71 0.50 6.93 0.00
22 1.04 1.54 0.66* 0.64 0.33 5.79 0.00
23 2.93 0.98 0.89* 0.56 0.39 4.25 0.00
24 0.66 0.58 0.58 0.58 1.29* 6.31 0.00
25 0.35 0.23 3.46* 0.46 0.31 5.19 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 Ontario
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 1
149.5 124.5 99.5 10 3
149.0 124.0 1 2 99.0 1 1
148.5 123.5 98.5 6 2
148.0 123.0 3 98.0 1 1
147.5 122.5 1 97.5 1 2
147.0 122.0 97.0 8 3
146.5 121.5 96.5 2
146.0 121.0 96.0 10 7
145.5 120.5 1 95.5 4
145.0 120.0 95.0 16 6
144.5 119.5 1 94.5 4 4
144.0 119.0 1 94.0 2 1
143.5 118.5 2 93.5 12 4
143.0 118.0 93.0 1
142.5 117.5 92.5 8 8
142.0 117.0 3 92.0 4 5
141.5 116.5 91.5 7 1
141.0 116.0 2 91.0 4
140.5 115.5 1 90.5 1 1
140.0 115.0 2 90.0 13 6
139.5 2 114.5 1 89.5 6 1
139.0 114.0 89.0 21 5
138.5 113.5 2 3 88.5 4 5
138.0 1 113.0 1 88.0 2 1
137.5 112.5 4 3 87.5 3 5
137.0 2 112.0 2 87.0 3 2
136.5 111.5 4 5 86.5 7 6
136.0 111.0 2 86.0 1
135.5 110.5 85.5 4 6
135.0 110.0 5 3 85.0 5 2
134.5 1 109.5 1 84.5 3 2
134.0 109.0 6 4 84.0 7 4
133.5 1 108.5 83.5 1
133.0 108.0 4 3 83.0 4 11
132.5 2 107.5 2 5 82.5 1 2
132.0 107.0 82.0 3 2
131.5 106.5 4 2 81.5 5 2
131.0 1 106.0 81.0 1 4
130.5 105.5 8 2 80.5 9 8
130.0 1 105.0 3 1 80.0 2 3
129.5 104.5 1 3 79.5 4 2
129.0 1 1 104.0 4 79.0 3
128.5 1 1 103.5 1 78.5 2 1
128.0 103.0 6 5 78.0 14 9
127.5 1 102.5 2 1 77.5 1 2
127.0 102.0 9 5 77.0 13 7
126.5 101.5 4 1 76.5 1 3
126.0 101.0 9 3 76.0 3 2
125.5 1 100.5 9 3 75.5 2
American Mathematics Competitions
2005 AMC 12 B Results for Ontario
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 6 5 49.5 24.5
74.0 4 2 49.0 1 24.0 1
73.5 1 2 48.5 23.5
73.0 5 1 48.0 2 2 23.0
72.5 2 3 47.5 1 22.5
72.0 2 6 47.0 22.0
71.5 2 2 46.5 1 21.5
71.0 2 3 46.0 1 1 21.0
70.5 1 1 45.5 20.5
70.0 3 45.0 20.0
69.5 3 3 44.5 1 19.5
69.0 1 2 44.0 19.0
68.5 5 43.5 18.5
68.0 43.0 1 18.0
67.5 4 3 42.5 17.5
67.0 2 42.0 2 1 17.0
66.5 2 41.5 16.5
66.0 5 4 41.0 1 16.0
65.5 1 40.5 1 15.5
65.0 2 40.0 15.0
64.5 1 39.5 14.5
64.0 2 39.0 1 14.0
63.5 1 1 38.5 13.5
63.0 2 38.0 13.0
62.5 3 2 37.5 12.5
62.0 1 37.0 12.0
61.5 36.5 11.5
61.0 2 36.0 2 11.0
60.5 1 35.5 1 10.5
60.0 7 7 35.0 10.0
59.5 34.5 9.5
59.0 3 2 34.0 9.0
58.5 1 33.5 8.5
58.0 1 33.0 8.0
57.5 1 32.5 7.5
57.0 1 32.0 7.0
56.5 3 1 31.5 6.5
56.0 2 31.0 6.0
55.5 1 1 30.5 1 5.5
55.0 30.0 5.0
54.5 1 29.5 4.5
54.0 1 6 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 1 27.0 2.0
51.5 1 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 12 B Results for Ontario
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
139.5 1 1
138.0 1
137.0 1 1
134.5 1
133.5 1
132.5 1 1
131.0 1
130.0 1
129.0 2
128.5 2
127.5 1
125.5 1
124.0 3
123.0 1 2
122.5 1
120.5 1
119.5 1
119.0 1
118.5 1 1
117.0 1 1 1
116.0 2
115.5 1
115.0 1 1
114.5 1
113.5 2 3
113.0 1
112.5 4 3 1
112.0 1 1
111.5 1 5 3
111.0 1 1
110.0 1 1 1 5
109.5 1
109.0 1 3 6
108.0 1 1 5
107.5 5 2 1
106.5 4 2
105.5 1 2 6 1
105.0 1 3
104.5 1 4
104.0 1 2 1
103.5 1
103.0 5 7
102.5 1 2
102.0 2 8 4
101.5 1 4
101.0 2 2 2 6 1
100.5 1 4 7
100.0 1
99.5 1 8 4
99.0 2
98.5 1 7
98.0 1 2
97.5 1 1 1
97.0 1 3 7 1
96.5 2
96.0 1 9 8
95.5 1 3
95.0 3 5 3 10 1
94.5 3 5
94.0 3
93.5 3 3 10
93.0 1
92.5 6 11
92.0 1 5 4
91.5 3 6
91.0 2 2
90.5 2
90.0 1 6 13 1
89.5 1 6 1
89.0 2 1 11 12
88.5 3 6
88.0 1 2 1
87.5 1 7
87.0 4 1
86.5 1 4 9
86.0 1
85.5 1 3 6 1
85.0 3 4 1
84.5 1 1 3
84.0 1 2 9
83.5 1
83.0 6 4 6 1
82.5 2 1
82.0 1 3 1
81.5 2 5 1
81.0 2 3
80.5 1 7 9
80.0 3 2
79.5 1 5
79.0 1 1 2
78.5 3
78.0 8 15 1
77.5 2 2
77.0 1 2 17
76.5 4
76.0 2 3
75.5 1 2
75.0 1 2 1
74.5 4 9
74.0 1 2 2 1
73.5 1 1 2
73.0 2 2 3 1
72.5 2 4 1
72.0 6 3 2
71.5 1 3
71.0 5
70.5 1 1 1
70.0 2 1
69.5 1 1 2 2
69.0 2 1
68.5 1 4
67.5 1 6 1
67.0 1 1
66.5 1 1
66.0 5 4 2
65.5 1
65.0 1 1
64.5 1
64.0 1 1
63.5 2
63.0 1 1
62.5 3 2
62.0 1
61.0 1 1
60.5 1
60.0 4 11
59.0 3 1 1
58.5 1
58.0 1
57.5 1
57.0 1
56.5 4
56.0 1 1
55.5 1 1
54.5 1
54.0 6 1
53.5 1
52.5 1
52.0 1
51.5 1 1
50.5 1
49.5 1
49.0 1
48.0 4
47.5 1
46.5 1
46.0 2
44.5 1
43.0 1
42.0 3 1
41.0 1
40.5 1
39.0 1
36.0 1 1
35.5 1
30.5 1
26.5 1
24.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Ontario
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 9.44* 0.14 0.21 0.01 0.12 0.07 0.00
2 0.09 0.16 0.07 9.38* 0.15 0.15 0.00
3 0.10 0.04 9.16* 0.14 0.33 0.24 0.00
4 0.09 9.00* 0.22 0.27 0.07 0.35 0.00
5 8.87* 0.11 0.40 0.07 0.02 0.52 0.00
6 5.82* 0.74 0.48 0.47 0.20 2.28 0.00
7 1.54 1.25 0.41 3.32* 0.73 2.73 0.02
8 0.81 1.66 4.71* 0.06 1.24 1.52 0.00
9 0.32 7.73* 0.37 0.38 0.26 0.92 0.01
10 0.16 0.43 0.21 1.72 5.30* 2.17 0.00
11 1.04 1.72 0.84 4.49* 0.36 1.54 0.01
12 0.35 0.81 1.21 2.58* 0.21 4.85 0.00
13 0.42 0.46 0.26 3.75* 0.26 4.85 0.00
14 1.02 1.25 0.92 0.29 1.71* 4.82 0.00
15 0.69 0.26 0.37 5.07* 0.50 3.11 0.00
16 0.29 0.37 1.29 1.08* 0.24 6.74 0.00
17 0.64 1.14* 0.46 0.32 0.86 6.58 0.00
18 1.18 0.73 1.07* 0.42 0.50 6.11 0.00
19 0.24 0.35 0.31 0.53 2.68* 5.90 0.00
20 0.10 0.40 4.73* 0.61 1.34 2.81 0.01
21 0.31 0.35 0.89* 0.74 0.46 7.25 0.00
22 0.38 0.74 0.30 0.25 0.41* 7.92 0.00
23 0.22 0.74* 0.33 0.29 0.14 8.28 0.00
24 0.29* 0.37 0.46 0.38 0.29 8.22 0.00
25 0.42* 0.42 0.19 0.33 0.45 8.19 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
