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Missing Title
American Mathematics Competitions
2006 AMC 10 A Results for Taiwan
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4491
Number of unofficial participants: 0
Average score of participants: 96.4
Average score for female students is: 91.8 ( 1778 Students)
Average score for male students is: 99.4 ( 2713 Students)
Average score for grade 10 is: 94.7 ( 3424 Students)
Average score for grade 9 is: 100.7 ( 661 Students)
Average score for grade 8 and below is: 105.4 ( 348 Students)
Average score with unknown grade: 90.9 ( 58 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 563
Number of schools returning results 138
Average school winning score 121.55
American Mathematics Competitions
2006 AMC 12 A Results for Taiwan
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 5432
Number of unofficial participants: 0
Average score of participants: 92.7
Average score for female students is: 89.0 ( 2250 Students)
Average score for male students is: 95.3 ( 3182 Students)
Average score for grade 13 is: 89.6 ( 8 Students)
Average score for grade 12 is: 94.2 ( 2379 Students)
Average score for grade 11 is: 90.2 ( 2707 Students)
Average score for grade 10 is: 102.8 ( 242 Students)
Average score for grade 9 is: 116.3 ( 31 Students)
Average score for grade 8 and below is: 95.5 ( 16 Students)
Average score with unknown grade: 89.7 ( 49 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 2044
Number of schools returning results 132
Average school winning score 115.38
Average school team score 322.10
American Mathematics Competitions
2006 AMC 10 B Results for Taiwan
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 0
Number of unofficial participants: 0
American Mathematics Competitions
2006 AMC 12 B Results for Taiwan
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 0
Number of unofficial participants: 0
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
436.0 1 1
417.0 1 2
400.5 1 3
391.0 1 4
389.0 1 5
388.0 1 6
384.0 1 7
380.5 1 8
379.5 1 9
377.5 1 10
372.5 1 11
371.5 1 12
370.0 3 13
368.0 2 16
367.0 2 18
366.5 1 20
366.0 1 21
364.0 1 22
362.0 4 23
361.0 1 27
360.5 1 28
358.5 2 29
356.0 1 31
355.5 1 32
354.5 1 33
354.0 1 34
353.5 2 35
352.5 1 37
352.0 1 38
350.5 2 39
350.0 1 41
349.0 2 42
348.5 1 44
348.0 1 45
347.5 1 46
346.5 1 47
346.0 2 48
345.5 1 50
345.0 1 51
344.0 1 52
343.5 2 53
343.0 1 55
342.5 1 56
341.5 2 57
341.0 3 59
339.5 2 62
336.5 1 64
336.0 1 65
334.5 3 66
332.0 1 69
329.0 1 70
326.5 2 71
325.0 1 73
324.5 1 74
324.0 3 75
323.5 1 78
323.0 1 79
322.0 2 80
319.5 3 82
317.5 2 85
317.0 1 87
316.5 1 88
314.5 1 89
313.0 1 90
312.0 1 91
311.5 1 92
311.0 2 93
310.5 1 95
310.0 1 96
308.0 1 97
306.5 2 98
305.5 1 100
303.0 2 101
301.0 1 103
300.0 1 104
298.0 1 105
294.5 1 106
293.0 2 107
292.5 1 109
292.0 2 110
289.0 1 112
288.5 1 113
286.5 1 114
280.0 1 115
277.0 1 116
274.0 1 117
272.5 1 118
271.5 1 119
269.5 1 120
242.5 1 121
237.5 1 122
225.5 1 123
215.5 1 124
211.0 1 125
203.5 1 126
189.0 1 127
160.5 1 128
153.0 1 129
133.5 1 130
115.0 1 131
106.5 1 132
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 7
146.5 2
144.0 24
143.0 1 1
140.5 9
139.5 1 3
138.0 27
137.0 4 15
136.0 3 7
134.5 3 12
133.5 4 15
132.5 8 6
132.0 2 30
131.0 2 27
130.0 11 26
129.0 7 3
128.5 19
127.5 7 38
126.5 7 24
126.0 1 19
125.5 15 4
125.0 2 34
124.0 9 36
123.0 33 30
122.5 17
122.0 26 4
121.5 10 40
120.5 29 62
120.0 4 24
119.5 50 28
119.0 3 30
118.5 34 4
118.0 11 51
117.0 54 39
116.5 18
116.0 90 30
115.5 3 41
115.0 20 5
114.5 34 55
114.0 8 28
113.5 88 43
113.0 6 35
112.5 129 17
112.0 19 66
111.5 11 6
111.0 51 52
110.5 3 18
110.0 125 37
109.5 4 37
109.0 64 10
108.5 26 61
108.0 19 31
107.5 88 49
107.0 4 34
106.5 152 31
106.0 10 60
105.5 38 13
105.0 57 74
104.5 7 18
104.0 135 56
103.5 6 56
103.0 110 31
102.5 35 64
102.0 34 53
101.5 116 58
101.0 6 19
100.5 182 46
100.0 20 53
99.5 61 21
99.0 70 63
98.5 20 33
98.0 173 58
97.5 10 33
97.0 109 37
96.5 37 58
96.0 56 56
95.5 86 52
95.0 13 23
94.5 118 50
94.0 21 30
93.5 73 20
93.0 53 56
92.5 25 30
92.0 97 53
91.5 11 30
91.0 78 29
90.5 34 51
90.0 61 47
89.5 72 54
89.0 20 27
88.5 106 38
88.0 19 29
87.5 60 29
87.0 50 49
86.5 25 46
86.0 81 53
85.5 10 36
85.0 81 36
84.5 31 34
84.0 78 62
83.5 40 35
83.0 27 19
82.5 64 32
82.0 16 24
81.5 54 21
81.0 38 30
80.5 30 24
80.0 60 29
79.5 13 31
79.0 60 32
78.5 17 35
78.0 68 58
77.5 42 37
77.0 33 31
76.5 48 18
76.0 18 25
75.5 38 17
75.0 31 23
74.5 19 12
74.0 29 32
73.5 17 23
73.0 33 19
72.5 21 22
72.0 65 44
71.5 32 20
71.0 18 13
70.5 26 20
70.0 18 17
69.5 25 7
69.0 21 14
68.5 18 8
68.0 21 11
67.5 10 16
67.0 16 12
66.5 15 12
66.0 40 40
65.5 21 8
65.0 12 4
64.5 15 7
64.0 13 9
63.5 13 6
63.0 19 11
62.5 22 17
62.0 11 9
61.5 12 5
61.0 9 7
60.5 7 5
60.0 37 28
59.5 9 7
59.0 12 7
58.5 13 4
58.0 10 7
57.5 3 1
57.0 7 11
56.5 3 7
56.0 6 4
55.5 2 9
55.0 8 5
54.5 8 4
54.0 28 14
53.5 5 2
53.0 6 2
52.5 5 1
52.0 8 6
51.5 1 4
51.0 8 1
50.5 5 1
50.0 5 3
49.5 2 3
49.0 2
48.5 2 3
48.0 14 14
47.5 2 3
47.0 1 3
46.5 2 3
46.0 4 1
45.0 1 2
44.5 1
44.0 1
43.5 1
43.0 1
42.5 2 3
42.0 12 15
41.5 1 1
41.0 2 1
40.0 1 4
38.5 2
37.5 1 1
36.0 8 3
35.0 2
32.5 1
30.0 1 3
25.5 1
24.0 1 1
20.5 1
American Mathematics Competitions
2006 AMC 10 A Results for Taiwan
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 7 125.0 29 5 100.0 34 19
149.5 124.5 99.5 13 8
149.0 124.0 29 7 99.0 35 28
148.5 123.5 98.5 23 10
148.0 123.0 21 9 98.0 28 30
147.5 122.5 15 2 97.5 20 13
147.0 122.0 3 1 97.0 23 14
146.5 121.5 30 10 96.5 31 27
146.0 121.0 96.0 44 12
145.5 120.5 41 21 95.5 36 16
145.0 120.0 22 2 95.0 13 10
144.5 119.5 18 10 94.5 27 23
144.0 24 119.0 18 12 94.0 14 16
143.5 118.5 2 2 93.5 6 14
143.0 1 118.0 37 14 93.0 33 23
142.5 117.5 92.5 18 12
142.0 117.0 22 17 92.0 38 15
141.5 116.5 14 4 91.5 20 10
141.0 116.0 23 7 91.0 24 5
140.5 7 2 115.5 34 7 90.5 28 23
140.0 115.0 3 2 90.0 25 22
139.5 2 1 114.5 36 19 89.5 32 22
139.0 114.0 15 13 89.0 14 13
138.5 113.5 32 11 88.5 20 18
138.0 26 1 113.0 22 13 88.0 20 9
137.5 112.5 6 11 87.5 12 17
137.0 12 3 112.0 48 18 87.0 26 23
136.5 111.5 4 2 86.5 25 21
136.0 5 2 111.0 32 20 86.0 29 24
135.5 110.5 13 5 85.5 20 16
135.0 110.0 24 13 85.0 14 22
134.5 11 1 109.5 29 8 84.5 14 20
134.0 109.0 5 5 84.0 35 27
133.5 14 1 108.5 41 20 83.5 20 15
133.0 108.0 22 9 83.0 10 9
132.5 5 1 107.5 31 18 82.5 17 15
132.0 24 6 107.0 24 10 82.0 14 10
131.5 106.5 12 19 81.5 7 14
131.0 20 7 106.0 33 27 81.0 15 15
130.5 105.5 9 4 80.5 16 8
130.0 18 8 105.0 46 28 80.0 13 16
129.5 104.5 12 6 79.5 19 12
129.0 3 104.0 31 25 79.0 14 18
128.5 17 2 103.5 37 19 78.5 19 16
128.0 103.0 18 13 78.0 30 28
127.5 26 12 102.5 38 26 77.5 14 23
127.0 102.0 33 20 77.0 12 19
126.5 19 5 101.5 35 23 76.5 4 14
126.0 17 2 101.0 13 6 76.0 15 10
125.5 4 100.5 23 23 75.5 7 10
American Mathematics Competitions
2006 AMC 10 A Results for Taiwan
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 14 9 50.0 2 1 25.0
74.5 3 9 49.5 2 1 24.5
74.0 14 18 49.0 24.0 1
73.5 17 6 48.5 1 2 23.5
73.0 10 9 48.0 8 6 23.0
72.5 11 11 47.5 1 2 22.5
72.0 24 20 47.0 3 22.0
71.5 7 13 46.5 2 1 21.5
71.0 7 6 46.0 1 21.0
70.5 8 12 45.5 20.5
70.0 9 8 45.0 2 20.0
69.5 5 2 44.5 19.5
69.0 8 6 44.0 1 19.0
68.5 3 5 43.5 1 18.5
68.0 5 6 43.0 18.0
67.5 7 9 42.5 3 17.5
67.0 3 9 42.0 11 4 17.0
66.5 6 6 41.5 1 16.5
66.0 20 20 41.0 1 16.0
65.5 4 4 40.5 15.5
65.0 1 3 40.0 2 2 15.0
64.5 5 2 39.5 14.5
64.0 2 7 39.0 14.0
63.5 1 5 38.5 1 1 13.5
63.0 7 4 38.0 13.0
62.5 12 5 37.5 1 12.5
62.0 4 5 37.0 12.0
61.5 5 36.5 11.5
61.0 4 3 36.0 3 11.0
60.5 1 4 35.5 10.5
60.0 14 14 35.0 10.0
59.5 2 5 34.5 9.5
59.0 3 4 34.0 9.0
58.5 2 2 33.5 8.5
58.0 3 4 33.0 8.0
57.5 1 32.5 7.5
57.0 3 8 32.0 7.0
56.5 5 2 31.5 6.5
56.0 2 2 31.0 6.0
55.5 5 4 30.5 5.5
55.0 3 2 30.0 1 2 5.0
54.5 3 1 29.5 4.5
54.0 9 5 29.0 4.0
53.5 1 1 28.5 3.5
53.0 1 1 28.0 3.0
52.5 1 27.5 2.5
52.0 4 2 27.0 2.0
51.5 3 1 26.5 1.5
51.0 1 26.0 1.0
50.5 1 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Taiwan
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 2 2 3
144.0 7 7 10
143.0 1
140.5 1 3 5
139.5 1 2
138.0 1 3 7 16
137.0 5 10
136.0 2 5
134.5 1 3 8
133.5 1 5 9
132.5 1 1 4
132.0 2 2 7 19
131.0 1 2 9 15
130.0 2 1 23
129.0 3
128.5 2 3 3 11
127.5 2 4 7 24 1
126.5 1 4 1 18
126.0 6 6 7
125.5 1 1 2
125.0 1 1 6 3 23
124.0 1 1 3 30 1
123.0 3 1 4 22
122.5 1 4 12
122.0 1 3
121.5 2 5 10 23
120.5 3 5 10 43 1
120.0 5 8 11
119.5 1 3 23 1
119.0 1 2 8 18 1
118.5 1 3
118.0 2 3 6 39 1
117.0 3 10 24 2
116.5 2 4 12
116.0 1 6 22 1
115.5 6 8 27
115.0 1 4
114.5 2 8 13 32
114.0 1 1 3 23
113.5 1 3 7 30 2
113.0 2 9 24
112.5 1 1 15
112.0 2 5 11 47 1
111.5 6
111.0 2 3 11 36
110.5 4 6 8
110.0 2 2 33
109.5 1 1 2 11 21 1
109.0 1 4 5
108.5 3 3 10 45
108.0 2 3 6 19 1
107.5 1 2 11 35
107.0 3 7 24
106.5 1 5 3 22
106.0 2 5 8 44 1
105.5 3 10
105.0 2 1 11 60
104.5 1 3 14
104.0 1 5 1 6 42 1
103.5 1 2 4 7 42
103.0 2 3 6 20
102.5 1 2 3 7 50 1
102.0 4 5 44
101.5 2 4 5 45 2
101.0 1 2 16
100.5 3 8 35
100.0 4 7 40 2
99.5 2 1 18
99.0 1 2 7 52 1
98.5 3 1 28 1
98.0 2 3 9 43 1
97.5 3 30
97.0 1 5 31
96.5 1 1 9 47
96.0 1 5 8 41 1
95.5 4 10 38
95.0 1 2 2 5 13
94.5 1 2 6 41
94.0 1 4 25
93.5 1 3 16
93.0 6 50
92.5 2 4 24
92.0 1 4 6 41 1
91.5 2 3 25
91.0 2 2 4 21
90.5 1 8 42
90.0 1 1 5 39 1
89.5 2 1 6 44 1
89.0 1 1 25
88.5 3 6 27 2
88.0 2 3 24
87.5 1 2 25 1
87.0 7 41 1
86.5 3 7 35 1
86.0 4 11 37 1
85.5 1 2 2 29 2
85.0 1 6 28 1
84.5 9 24 1
84.0 1 1 5 53 2
83.5 1 2 5 27
83.0 1 3 15
82.5 4 28
82.0 5 19
81.5 1 2 18
81.0 2 5 21 2
80.5 1 2 19 2
80.0 2 1 7 18 1
79.5 1 3 2 2 22 1
79.0 2 30
78.5 1 2 32
78.0 1 1 1 5 50
77.5 1 6 29 1
77.0 1 8 22
76.5 3 14 1
76.0 2 3 19 1
75.5 6 11
75.0 1 1 4 17
74.5 1 1 3 7
74.0 3 4 25
73.5 2 21
73.0 2 2 15
72.5 3 19
72.0 6 37 1
71.5 4 16
71.0 1 12
70.5 1 4 15
70.0 17
69.5 7
69.0 1 13
68.5 8
68.0 1 10
67.5 2 14
67.0 1 3 8
66.5 1 11
66.0 1 37 2
65.5 8
65.0 4
64.5 7
64.0 1 7 1
63.5 1 5
63.0 3 8
62.5 2 15
62.0 8 1
61.5 5
61.0 7
60.5 1 3 1
60.0 1 2 25
59.5 2 5
59.0 1 6
58.5 4
58.0 2 5
57.5 1
57.0 1 10
56.5 3 4
56.0 4
55.5 1 1 7
55.0 5
54.5 1 3
54.0 14
53.5 2
53.0 2
52.5 1
52.0 2 4
51.5 4
51.0 1
50.5 1
50.0 3
49.5 3
48.5 3
48.0 1 12 1
47.5 2 1
47.0 3
46.5 1 2
46.0 1
45.0 1 1
44.0 1
43.5 1
42.5 3
42.0 1 3 11
41.5 1
41.0 1
40.0 4
38.5 2
37.5 1
36.0 3
30.0 2 1
25.5 1
24.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Taiwan
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.94* 0.02 0.01 0.00 0.00 0.02 0.00
2 1.21 0.12 8.10* 0.05 0.24 0.29 0.00
3 0.01 9.48* 0.01 0.00 0.47 0.02 0.00
4 3.00 0.88 0.10 0.12 5.31* 0.59 0.00
5 0.08 0.39 0.80 8.34* 0.16 0.24 0.00
6 0.07 8.79* 0.53 0.09 0.14 0.37 0.00
7 8.44* 0.05 0.41 0.18 0.22 0.69 0.00
8 0.14 0.24 0.17 0.05 8.64* 0.76 0.00
9 0.53 1.70 5.89* 0.28 0.30 1.29 0.00
10 0.36 0.21 0.53 5.13 1.78* 1.99 0.00
11 1.12 1.70 4.58* 0.35 0.61 1.63 0.00
12 0.44 0.29 7.70* 0.65 0.13 0.80 0.00
13 0.13 0.81 0.14 7.19* 0.10 1.63 0.00
14 1.24 6.31* 0.37 0.56 0.24 1.28 0.00
15 0.87 0.39 0.41 1.09* 1.00 6.23 0.00
16 0.22 0.20 2.59 1.28* 1.03 4.69 0.00
17 7.73* 0.32 0.20 0.21 0.10 1.44 0.00
18 1.86 0.12 3.84* 0.16 0.27 3.75 0.00
19 0.38 2.22 4.10* 0.35 0.17 2.78 0.00
20 0.26 0.73 0.38 0.37 1.91* 6.35 0.00
21 0.57 0.66 0.43 0.59 1.42* 6.33 0.00
22 0.10 0.79 6.01* 1.72 0.44 0.93 0.00
23 0.23 7.05* 0.20 0.14 0.47 1.91 0.00
24 0.94 1.22* 0.98 1.19 0.67 4.99 0.01
25 2.11 0.74 0.90* 0.35 0.23 5.67 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 Taiwan
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 2 100.0 14 6
149.5 124.5 99.5 35 26
149.0 124.0 8 1 99.0 43 27
148.5 123.5 98.5 11 9
148.0 123.0 29 4 98.0 109 64
147.5 122.5 97.5 6 4
147.0 122.0 13 13 97.0 68 41
146.5 2 121.5 10 96.5 24 13
146.0 121.0 96.0 30 26
145.5 120.5 24 5 95.5 56 30
145.0 120.0 3 1 95.0 6 7
144.5 119.5 38 12 94.5 68 50
144.0 119.0 3 94.0 11 10
143.5 118.5 24 10 93.5 48 25
143.0 1 118.0 10 1 93.0 35 18
142.5 117.5 92.5 14 11
142.0 117.0 45 9 92.0 46 51
141.5 116.5 91.5 2 9
141.0 116.0 65 25 91.0 45 33
140.5 115.5 1 2 90.5 17 17
140.0 115.0 13 7 90.0 37 24
139.5 1 114.5 28 6 89.5 40 32
139.0 114.0 5 3 89.0 11 9
138.5 113.5 67 21 88.5 63 43
138.0 113.0 6 88.0 11 8
137.5 112.5 75 54 87.5 30 30
137.0 3 1 112.0 15 4 87.0 26 24
136.5 111.5 8 3 86.5 11 14
136.0 3 111.0 38 13 86.0 39 42
135.5 110.5 3 85.5 4 6
135.0 110.0 92 33 85.0 42 39
134.5 3 109.5 3 1 84.5 13 18
134.0 109.0 42 22 84.0 44 34
133.5 4 108.5 14 12 83.5 17 23
133.0 108.0 14 5 83.0 6 21
132.5 8 107.5 56 32 82.5 35 29
132.0 2 107.0 2 2 82.0 9 7
131.5 106.5 92 60 81.5 30 24
131.0 2 106.0 7 3 81.0 22 16
130.5 105.5 19 19 80.5 19 11
130.0 11 105.0 35 22 80.0 31 29
129.5 104.5 1 6 79.5 4 9
129.0 5 2 104.0 97 38 79.0 34 26
128.5 103.5 5 1 78.5 9 8
128.0 103.0 59 51 78.0 37 31
127.5 6 1 102.5 17 18 77.5 25 17
127.0 102.0 22 12 77.0 16 17
126.5 6 1 101.5 73 43 76.5 24 24
126.0 1 101.0 4 2 76.0 6 12
125.5 11 4 100.5 122 60 75.5 15 23
American Mathematics Competitions
2006 AMC 12 A Results for Taiwan
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 11 20 50.0 3 2 25.0
74.5 9 10 49.5 1 1 24.5
74.0 13 16 49.0 2 24.0 1
73.5 12 5 48.5 2 23.5
73.0 13 20 48.0 8 6 23.0
72.5 9 12 47.5 1 1 22.5
72.0 31 34 47.0 1 22.0
71.5 15 17 46.5 1 1 21.5
71.0 7 11 46.0 2 2 21.0
70.5 11 15 45.5 20.5 1
70.0 12 6 45.0 1 20.0
69.5 7 18 44.5 1 19.5
69.0 11 10 44.0 19.0
68.5 6 12 43.5 18.5
68.0 12 9 43.0 1 18.0
67.5 7 3 42.5 1 1 17.5
67.0 7 9 42.0 7 5 17.0
66.5 2 13 41.5 1 16.5
66.0 21 19 41.0 1 1 16.0
65.5 7 14 40.5 15.5
65.0 6 6 40.0 1 15.0
64.5 7 8 39.5 14.5
64.0 7 6 39.0 14.0
63.5 6 7 38.5 13.5
63.0 7 12 38.0 13.0
62.5 9 13 37.5 1 12.5
62.0 4 7 37.0 12.0
61.5 2 10 36.5 11.5
61.0 4 5 36.0 5 3 11.0
60.5 3 4 35.5 10.5
60.0 19 18 35.0 1 1 10.0
59.5 6 3 34.5 9.5
59.0 6 6 34.0 9.0
58.5 3 10 33.5 8.5
58.0 4 6 33.0 8.0
57.5 1 2 32.5 1 7.5
57.0 5 2 32.0 7.0
56.5 2 1 31.5 6.5
56.0 3 3 31.0 6.0
55.5 2 30.5 5.5
55.0 5 3 30.0 1 5.0
54.5 4 4 29.5 4.5
54.0 10 18 29.0 4.0
53.5 2 3 28.5 3.5
53.0 2 4 28.0 3.0
52.5 3 2 27.5 2.5
52.0 6 2 27.0 2.0
51.5 1 26.5 1.5
51.0 5 3 26.0 1.0
50.5 4 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Taiwan
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 1
146.5 1 1
143.0 1
139.5 1
137.0 2 2
136.0 1 1 1
134.5 1 2
133.5 1 1 1 1
132.5 1 2 3 2
132.0 1 1
131.0 1 1
130.0 2 6 3
129.0 2 3 2
127.5 1 4 2
126.5 2 1 4
126.0 1
125.5 1 8 6
125.0 2
124.0 2 5 2
123.0 1 1 12 19
122.0 1 3 5 17
121.5 3 7
120.5 3 7 18 1
120.0 1 3
119.5 1 2 24 23
119.0 3
118.5 1 3 4 14 12
118.0 4 7
117.0 4 21 28 1
116.0 1 5 45 35 4
115.5 3
115.0 4 10 6
114.5 1 2 9 22
114.0 2 1 4 1
113.5 1 7 44 36
113.0 1 3 2
112.5 3 14 63 49
112.0 1 2 9 7
111.5 2 3 6
111.0 1 1 3 24 22
110.5 1 2
110.0 9 49 66 1
109.5 2 2
109.0 1 2 10 27 23 1
108.5 2 11 13
108.0 1 6 11 1
107.5 3 39 45 1
107.0 1 2 1
106.5 1 1 11 60 74 1 4
106.0 6 4
105.5 7 16 15
105.0 2 18 36 1
104.5 7
104.0 1 1 11 50 71 1
103.5 2 4
103.0 1 11 47 51
102.5 13 22
102.0 4 13 16 1
101.5 1 4 49 61 1
101.0 1 4 1
100.5 1 1 10 78 91 1
100.0 1 6 13
99.5 3 38 19 1
99.0 6 28 35 1
98.5 3 8 9
98.0 5 83 83 2
97.5 7 3
97.0 5 52 52
96.5 15 22
96.0 1 22 32 1
95.5 1 1 4 43 36 1
95.0 1 4 8
94.5 4 55 57 2
94.0 1 11 9
93.5 1 1 40 31
93.0 1 3 27 22
92.5 10 15
92.0 58 39
91.5 5 6
91.0 2 36 40
90.5 3 20 11
90.0 34 24 3
89.5 1 1 41 28 1
89.0 1 9 10
88.5 4 53 49
88.0 1 10 8
87.5 34 24 2
87.0 29 21
86.5 17 8
86.0 2 44 35
85.5 1 6 3
85.0 1 39 40 1
84.5 1 1 18 11
84.0 5 42 29 2
83.5 23 17
83.0 16 11
82.5 40 23 1
82.0 2 8 6
81.5 2 29 22 1
81.0 2 23 13
80.5 1 15 14
80.0 38 21 1
79.5 10 3
79.0 1 1 34 24
78.5 9 8
78.0 1 38 29
77.5 1 25 15 1
77.0 2 17 14
76.5 28 20
76.0 13 5
75.5 25 11 2
75.0 1 19 10 1
74.5 10 9
74.0 1 19 9
73.5 1 9 6 1
73.0 3 20 10
72.5 15 5 1
72.0 1 39 24 1
71.5 21 11
71.0 13 5
70.5 13 13
70.0 1 11 5 1
69.5 14 11
69.0 14 7
68.5 13 5
68.0 1 11 9
67.5 8 2
67.0 9 6 1
66.5 7 8
66.0 22 17 1
65.5 13 8
65.0 7 5
64.5 6 9
64.0 8 5
63.5 6 7
63.0 9 10
62.5 11 11
62.0 8 3
61.5 3 8 1
61.0 1 6 2
60.5 5 2
60.0 1 28 7 1
59.5 7 2
59.0 1 6 5
58.5 7 6
58.0 7 3
57.5 2 1
57.0 5 2
56.5 1 2
56.0 4 2
55.5 2
55.0 5 2 1
54.5 4 4
54.0 19 9
53.5 3 2
53.0 3 3
52.5 3 2
52.0 4 4
51.5 1
51.0 5 3
50.5 4 1
50.0 4 1
49.5 2
49.0 1 1
48.5 2
48.0 1 9 4
47.5 1 1
47.0 1
46.5 2
46.0 4
45.0 1
44.5 1
43.0 1
42.5 1 1
42.0 1 7 3 1
41.5 1
41.0 2
40.0 1
37.5 1
36.0 4 3 1
35.0 2
32.5 1
30.0 1
24.0 1
20.5 1
American Mathematics Competitions
2006 AMC 12 A Results for Taiwan
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.94* 0.02 0.03 0.00 0.00 0.01 0.00
2 0.79 0.15 8.06* 0.08 0.34 0.59 0.00
3 0.02 9.53* 0.01 0.00 0.42 0.02 0.00
4 2.74 0.89 0.10 0.16 5.56* 0.54 0.00
5 0.13 0.35 0.73 8.51* 0.10 0.17 0.01
6 8.32* 0.10 0.41 0.16 0.25 0.76 0.00
7 0.79 6.41* 0.54 0.92 0.29 1.05 0.00
8 0.35 1.45 6.55* 0.34 0.25 1.05 0.00
9 9.09* 0.15 0.06 0.04 0.34 0.32 0.01
10 0.26 0.16 0.51 5.56 1.86* 1.65 0.00
11 1.03 1.27 5.30* 0.34 0.97 1.08 0.00
12 1.05 6.69* 0.35 0.50 0.23 1.18 0.00
13 0.18 0.11 0.27 0.07 8.88* 0.49 0.01
14 0.11 0.49 7.00* 1.49 0.32 0.59 0.00
15 4.66* 2.13 0.36 0.81 0.95 1.08 0.00
16 0.16 7.93* 0.19 0.15 0.47 1.11 0.00
17 0.38 1.63* 0.86 0.22 0.12 6.81 0.00
18 1.26 0.13 0.26 1.32 0.76* 6.28 0.00
19 0.15 0.23 0.42 0.37 0.84* 7.99 0.00
20 2.08 0.82 1.25* 0.30 0.30 5.24 0.01
21 0.17 0.19 0.66 0.32 1.42* 7.24 0.00
22 0.22 0.26 0.32 0.34* 0.17 8.69 0.00
23 0.17 0.34* 0.32 0.22 0.28 8.66 0.00
24 0.79 0.31 0.36 0.45* 0.29 7.79 0.00
25 0.22 0.30 0.45 0.35 0.35* 8.33 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 Taiwan
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
149.0 124.0 99.0
148.5 123.5 98.5
148.0 123.0 98.0
147.5 122.5 97.5
147.0 122.0 97.0
146.5 121.5 96.5
146.0 121.0 96.0
145.5 120.5 95.5
145.0 120.0 95.0
144.5 119.5 94.5
144.0 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0
142.5 117.5 92.5
142.0 117.0 92.0
141.5 116.5 91.5
141.0 116.0 91.0
140.5 115.5 90.5
140.0 115.0 90.0
139.5 114.5 89.5
139.0 114.0 89.0
138.5 113.5 88.5
138.0 113.0 88.0
137.5 112.5 87.5
137.0 112.0 87.0
136.5 111.5 86.5
136.0 111.0 86.0
135.5 110.5 85.5
135.0 110.0 85.0
134.5 109.5 84.5
134.0 109.0 84.0
133.5 108.5 83.5
133.0 108.0 83.0
132.5 107.5 82.5
132.0 107.0 82.0
131.5 106.5 81.5
131.0 106.0 81.0
130.5 105.5 80.5
130.0 105.0 80.0
129.5 104.5 79.5
129.0 104.0 79.0
128.5 103.5 78.5
128.0 103.0 78.0
127.5 102.5 77.5
127.0 102.0 77.0
126.5 101.5 76.5
126.0 101.0 76.0
125.5 100.5 75.5
American Mathematics Competitions
2006 AMC 10 B Results for Taiwan
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 50.0 25.0
74.5 49.5 24.5
74.0 49.0 24.0
73.5 48.5 23.5
73.0 48.0 23.0
72.5 47.5 22.5
72.0 47.0 22.0
71.5 46.5 21.5
71.0 46.0 21.0
70.5 45.5 20.5
70.0 45.0 20.0
69.5 44.5 19.5
69.0 44.0 19.0
68.5 43.5 18.5
68.0 43.0 18.0
67.5 42.5 17.5
67.0 42.0 17.0
66.5 41.5 16.5
66.0 41.0 16.0
65.5 40.5 15.5
65.0 40.0 15.0
64.5 39.5 14.5
64.0 39.0 14.0
63.5 38.5 13.5
63.0 38.0 13.0
62.5 37.5 12.5
62.0 37.0 12.0
61.5 36.5 11.5
61.0 36.0 11.0
60.5 35.5 10.5
60.0 35.0 10.0
59.5 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 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 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 10 B Results for Taiwan
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
American Mathematics Competitions
2006 AMC 12 B Results for Taiwan
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
149.0 124.0 99.0
148.5 123.5 98.5
148.0 123.0 98.0
147.5 122.5 97.5
147.0 122.0 97.0
146.5 121.5 96.5
146.0 121.0 96.0
145.5 120.5 95.5
145.0 120.0 95.0
144.5 119.5 94.5
144.0 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0
142.5 117.5 92.5
142.0 117.0 92.0
141.5 116.5 91.5
141.0 116.0 91.0
140.5 115.5 90.5
140.0 115.0 90.0
139.5 114.5 89.5
139.0 114.0 89.0
138.5 113.5 88.5
138.0 113.0 88.0
137.5 112.5 87.5
137.0 112.0 87.0
136.5 111.5 86.5
136.0 111.0 86.0
135.5 110.5 85.5
135.0 110.0 85.0
134.5 109.5 84.5
134.0 109.0 84.0
133.5 108.5 83.5
133.0 108.0 83.0
132.5 107.5 82.5
132.0 107.0 82.0
131.5 106.5 81.5
131.0 106.0 81.0
130.5 105.5 80.5
130.0 105.0 80.0
129.5 104.5 79.5
129.0 104.0 79.0
128.5 103.5 78.5
128.0 103.0 78.0
127.5 102.5 77.5
127.0 102.0 77.0
126.5 101.5 76.5
126.0 101.0 76.0
125.5 100.5 75.5
American Mathematics Competitions
2006 AMC 12 B Results for Taiwan
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 50.0 25.0
74.5 49.5 24.5
74.0 49.0 24.0
73.5 48.5 23.5
73.0 48.0 23.0
72.5 47.5 22.5
72.0 47.0 22.0
71.5 46.5 21.5
71.0 46.0 21.0
70.5 45.5 20.5
70.0 45.0 20.0
69.5 44.5 19.5
69.0 44.0 19.0
68.5 43.5 18.5
68.0 43.0 18.0
67.5 42.5 17.5
67.0 42.0 17.0
66.5 41.5 16.5
66.0 41.0 16.0
65.5 40.5 15.5
65.0 40.0 15.0
64.5 39.5 14.5
64.0 39.0 14.0
63.5 38.5 13.5
63.0 38.0 13.0
62.5 37.5 12.5
62.0 37.0 12.0
61.5 36.5 11.5
61.0 36.0 11.0
60.5 35.5 10.5
60.0 35.0 10.0
59.5 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 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 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 Taiwan
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
