American Mathematics Competitions
2007 AMC 10 A Results for North Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1218
Number of unofficial participants: 0
Average score of participants: 68.4
Average score for female students is: 64.7 ( 488 Students)
Average score for male students is: 72.7 ( 632 Students)
Average score for unspecified gender is 59.0 ( 98 Students)
Average score for grade 10 is: 72.1 ( 461 Students)
Average score for grade 9 is: 63.8 ( 423 Students)
Average score for grade 8 and below is: 71.8 ( 293 Students)
Average score with unknown grade: 49.6 ( 41 Students)
AIME qualifying score = 117.0 or better
Number of AIME qualifers 31
Number of schools returning results 58
Average school winning score 102.65
American Mathematics Competitions
2007 AMC 12 A Results for North Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1768
Number of unofficial participants: 0
Average score of participants: 67.3
Average score for female students is: 62.2 ( 788 Students)
Average score for male students is: 71.9 ( 894 Students)
Average score for unspecified gender is 65.8 ( 86 Students)
Average score for grade 13 is: 87.0 ( 1 Student)
Average score for grade 12 is: 68.4 ( 755 Students)
Average score for grade 11 is: 66.2 ( 849 Students)
Average score for grade 10 is: 69.5 ( 103 Students)
Average score for grade 9 is: 64.1 ( 43 Students)
Average score with unknown grade: 67.9 ( 17 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 89
Number of schools returning results 45
Average school winning score 99.33
Average school team score 265.83
American Mathematics Competitions
2007 AMC 10 B Results for North Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 659
Number of unofficial participants: 0
Average score of participants: 64.1
Average score for female students is: 60.7 ( 300 Students)
Average score for male students is: 67.5 ( 323 Students)
Average score for unspecified gender is 61.6 ( 36 Students)
Average score for grade 10 is: 65.3 ( 315 Students)
Average score for grade 9 is: 63.5 ( 274 Students)
Average score for grade 8 and below is: 61.7 ( 56 Students)
Average score with unknown grade: 57.8 ( 14 Students)
AIME qualifying score = 115.5 or better
Number of AIME qualifers 3
Number of schools returning results 28
Average school winning score 94.34
American Mathematics Competitions
2007 AMC 12 B Results for North Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 702
Number of unofficial participants: 0
Average score of participants: 77.0
Average score for female students is: 72.3 ( 294 Students)
Average score for male students is: 80.8 ( 369 Students)
Average score for unspecified gender is 77.3 ( 39 Students)
Average score for grade 12 is: 78.8 ( 272 Students)
Average score for grade 11 is: 74.2 ( 295 Students)
Average score for grade 10 is: 81.2 ( 68 Students)
Average score for grade 9 is: 79.3 ( 18 Students)
Average score for grade 8 and below is: 79.5 ( 35 Students)
Average score with unknown grade: 73.8 ( 14 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 56
Number of schools returning results 39
Average school winning score 104.62
Average school team score 286.12
2007 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
420.0 1 1
403.5 1 2
376.5 1 3
354.0 1 4
348.0 1 5
337.5 1 6
331.5 1 7
327.0 1 8
325.5 1 9
321.0 1 1 10
319.5 1 12
316.5 1 13
315.0 1 14
313.5 1 15
310.5 2 2 16
304.5 1 1 20
303.0 1 2 22
301.5 4 25
297.0 2 2 29
294.0 1 33
292.5 1 2 34
291.0 1 37
289.5 2 38
288.0 2 40
286.5 1 42
285.0 1 43
283.5 1 44
279.0 1 45
277.5 3 46
276.0 1 1 49
273.0 2 51
270.0 1 53
267.0 1 1 54
265.5 1 56
262.5 1 2 57
261.0 1 60
259.5 1 61
258.0 2 62
255.0 1 64
252.0 1 65
249.0 1 1 66
246.0 1 68
244.5 1 69
240.0 1 70
226.5 1 2 71
213.0 1 74
208.5 1 75
205.5 1 76
199.5 1 77
178.5 1 78
174.0 1 79
172.5 1 80
159.0 1 81
153.0 1 82
109.5 1 83
73.5 1 84
2007 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 1
145.5 1
144.0 3
141.0 1
139.5 1
138.0 4
136.5 1
135.0 1
132.0 2 2 1
130.5 1
129.0 1 2
127.5 1
126.0 1 3
124.5 1
123.0 1 2
121.5 1 2
120.0 2 2 5
118.5 1
117.0 7
115.5 1 2 3 2
114.0 3 2 4
112.5 3 3 3
111.0 4 2 4
109.5 1 4 4 2
108.0 3 2 6
106.5 4 2 9 3
105.0 8 5 4 2
103.5 4 6 3
102.0 5 6 12 7
100.5 16 16 12 3
99.0 10 10 9 3
97.5 13 4 14 1
96.0 12 15 14 4
94.5 30 30 14 6
93.0 25 10 11 6
91.5 23 14 17 3
90.0 11 26 18 4
88.5 34 37 14 4
87.0 23 20 22 7
85.5 35 13 35 11
84.0 19 17 24 11
82.5 52 37 22 8
81.0 42 18 37 14
79.5 48 24 31 12
78.0 36 25 31 18
76.5 61 47 30 18
75.0 56 19 28 17
73.5 55 27 28 17
72.0 49 16 32 22
70.5 69 25 31 21
69.0 54 19 24 27
67.5 51 15 33 22
66.0 39 14 34 23
64.5 85 23 26 29
63.0 52 15 39 23
61.5 46 10 32 18
60.0 58 18 37 32
58.5 60 10 37 16
57.0 49 6 30 20
55.5 58 9 24 31
54.0 61 7 38 26
52.5 45 10 32 19
51.0 46 7 21 17
49.5 41 6 30 16
48.0 46 3 28 22
46.5 29 4 26 8
45.0 20 3 16 12
43.5 31 4 19 9
42.0 25 7 22 8
40.5 15 4 9 7
39.0 25 12 7
37.5 14 1 8 7
36.0 15 7 16 7
34.5 7 2 10 5
33.0 5 1 7 5
31.5 2 3 10 3
30.0 3 11 6
28.5 1 10 2
27.0 2 4 2
25.5 3 1 2 1
24.0 4 1 4
22.5 1 3
21.0 2 2
19.5 1 1 1
18.0 3 2
15.0 1 1 1
7.5 2
American Mathematics Competitions
2007 AMC 10 A Results for North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0
149.5 124.5 99.5
149.0 124.0 99.0 5 3
148.5 123.5 98.5
148.0 123.0 1 1 98.0
147.5 122.5 97.5 9 5
147.0 122.0 97.0
146.5 121.5 1 1 96.5
146.0 121.0 96.0 10 3
145.5 120.5 95.5
145.0 120.0 3 1 95.0
144.5 119.5 94.5 8 5
144.0 3 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0 8 2
142.5 117.5 92.5
142.0 117.0 5 2 92.0
141.5 116.5 91.5 11 5
141.0 116.0 91.0
140.5 115.5 2 1 90.5
140.0 115.0 90.0 9 8
139.5 114.5 89.5
139.0 114.0 3 1 89.0
138.5 113.5 88.5 8 4
138.0 3 1 113.0 88.0
137.5 112.5 3 87.5
137.0 112.0 87.0 14 8
136.5 1 111.5 86.5
136.0 111.0 3 1 86.0
135.5 110.5 85.5 25 10
135.0 110.0 85.0
134.5 109.5 3 84.5
134.0 109.0 84.0 17 5
133.5 108.5 83.5
133.0 108.0 5 1 83.0
132.5 107.5 82.5 11 11
132.0 2 107.0 82.0
131.5 106.5 6 2 81.5
131.0 106.0 81.0 20 14
130.5 105.5 80.5
130.0 105.0 1 2 80.0
129.5 104.5 79.5 20 10
129.0 104.0 79.0
128.5 103.5 3 78.5
128.0 103.0 78.0 17 10
127.5 1 102.5 77.5
127.0 102.0 6 4 77.0
126.5 101.5 76.5 18 11
126.0 3 101.0 76.0
125.5 100.5 7 5 75.5
American Mathematics Competitions
2007 AMC 10 A Results for North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 16 11 50.0 25.0
74.5 49.5 16 12 24.5
74.0 49.0 24.0 1 1
73.5 11 12 48.5 23.5
73.0 48.0 14 10 23.0
72.5 47.5 22.5 1
72.0 21 10 47.0 22.0
71.5 46.5 13 9 21.5
71.0 46.0 21.0
70.5 20 10 45.5 20.5
70.0 45.0 6 8 20.0
69.5 44.5 19.5
69.0 9 14 44.0 19.0
68.5 43.5 8 11 18.5
68.0 43.0 18.0 1
67.5 17 14 42.5 17.5
67.0 42.0 10 11 17.0
66.5 41.5 16.5
66.0 21 10 41.0 16.0
65.5 40.5 4 5 15.5
65.0 40.0 15.0
64.5 14 11 39.5 14.5
64.0 39.0 3 9 14.0
63.5 38.5 13.5
63.0 18 17 38.0 13.0
62.5 37.5 2 4 12.5
62.0 37.0 12.0
61.5 15 13 36.5 11.5
61.0 36.0 3 8 11.0
60.5 35.5 10.5
60.0 17 18 35.0 10.0
59.5 34.5 5 5 9.5
59.0 34.0 9.0
58.5 13 23 33.5 8.5
58.0 33.0 2 4 8.0
57.5 32.5 7.5 1
57.0 14 15 32.0 7.0
56.5 31.5 3 3 6.5
56.0 31.0 6.0
55.5 13 11 30.5 5.5
55.0 30.0 6 3 5.0
54.5 29.5 4.5
54.0 16 20 29.0 4.0
53.5 28.5 2 7 3.5
53.0 28.0 3.0
52.5 14 15 27.5 2.5
52.0 27.0 1 3 2.0
51.5 26.5 1.5
51.0 7 11 26.0 1.0
50.5 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2007 AMC 10 A Results for North Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
144.0 1 2
138.0 1 1 1 1
136.5 1
132.0 1 1
127.5 1
126.0 1 2
123.0 1 1
121.5 1 1
120.0 1 3 1
117.0 1 1 4 1
115.5 2 1
114.0 2 2
112.5 1 2
111.0 1 1 2
109.5 1 2 1
108.0 2 4
106.5 3 1 5
105.0 2 2
103.5 1 2
102.0 1 1 10
100.5 1 5 6
99.0 6 3
97.5 1 2 5 6
96.0 2 1 3 8
94.5 2 6 6
93.0 4 2 5
91.5 1 1 5 5 5
90.0 5 3 10
88.5 1 2 3 6 2
87.0 1 1 3 5 11 1
85.5 1 1 4 10 19
84.0 3 10 10 1
82.5 1 4 4 13
81.0 3 3 6 11 13 1
79.5 4 9 11 7
78.0 4 9 8 10
76.5 2 2 13 11 2
75.0 1 3 4 6 14
73.5 3 7 9 9
72.0 4 7 8 13
70.5 6 4 7 14
69.0 2 3 9 10
67.5 3 1 5 14 10
66.0 3 3 11 17
64.5 1 3 5 6 11
63.0 1 8 16 13 1
61.5 1 6 18 7
60.0 1 1 4 11 19 1
58.5 2 8 18 8 1
57.0 5 5 11 9
55.5 1 2 4 6 11
54.0 3 5 15 14 1
52.5 1 1 4 16 9 1
51.0 2 3 6 10
49.5 2 3 12 13
48.0 1 1 4 14 7 1
46.5 1 2 1 10 8 4
45.0 2 7 5 2
43.5 2 2 10 5
42.0 3 1 9 7 2
40.5 1 5 3
39.0 2 1 5 4
37.5 1 1 4 2
36.0 1 1 6 4 4
34.5 1 1 4 4
33.0 4 2 1
31.5 5 2 3
30.0 2 7 1 1
28.5 1 5 4
27.0 3 1
25.5 1 1
24.0 2 1 1
22.5 1 2
21.0 1 1
19.5 1
18.0 1 1
7.5 1 1
American Mathematics Competitions
2007 AMC 10 A Results for North Carolina
Analysis
Table of Item Difficulty for the 2007
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.49 1.89 92.53* 3.37 1.23 0.49 0.00
2 70.11* 3.12 1.48 2.96 1.31 21.02 0.00
3 4.93 2.46 3.69 61.74* 5.50 21.67 0.00
4 82.51* 1.56 6.81 0.66 1.07 7.31 0.08
5 0.99 61.49* 1.97 5.17 4.68 25.70 0.00
6 59.77* 0.74 1.31 2.05 34.32 1.81 0.00
7 0.49 3.53 21.43 62.81* 0.82 10.84 0.08
8 8.13 4.68 7.22 51.64* 3.53 24.79 0.00
9 3.86 3.20 3.53 7.72 26.19* 55.50 0.00
10 5.75 9.52 7.96 4.76 38.34* 33.58 0.08
11 2.63 9.03 56.16* 3.45 2.22 26.52 0.00
12 5.34 5.09 20.44 14.12* 10.67 44.33 0.00
13 5.75 21.92* 3.37 1.97 16.67 50.33 0.00
14 16.09* 8.37 4.27 7.06 2.79 61.33 0.08
15 15.68 13.79* 4.68 4.02 5.75 56.08 0.00
16 5.67 7.22 22.17 6.65 9.85* 48.44 0.00
17 4.27 6.40 2.96 37.68* 4.43 44.17 0.08
18 3.37 7.64 17.32* 8.13 5.99 57.55 0.00
19 3.61 4.02 9.69* 3.61 4.02 75.04 0.00
20 4.35 3.45 6.65 25.21* 3.04 57.31 0.00
21 3.53 13.88 8.87* 4.11 18.88 50.66 0.08
22 9.03 4.93 6.16 12.07* 1.15 66.58 0.08
23 17.08 13.96* 5.75 3.04 2.55 57.55 0.08
24 3.04 10.51* 4.02 6.24 4.52 71.67 0.00
25 8.29 5.75 7.55 4.60* 2.05 71.76 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
2007 AMC 12 A Results for North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0
149.5 124.5 1 99.5
149.0 124.0 99.0 8
148.5 123.5 98.5
148.0 123.0 1 98.0
147.5 122.5 97.5 9 3
147.0 122.0 97.0
146.5 121.5 1 96.5
146.0 121.0 96.0 8 4
145.5 1 120.5 95.5
145.0 120.0 2 95.0
144.5 119.5 94.5 19 11
144.0 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0 17 7
142.5 117.5 92.5
142.0 117.0 92.0
141.5 116.5 91.5 19 4
141.0 116.0 91.0
140.5 115.5 1 90.5
140.0 115.0 90.0 7 4
139.5 1 114.5 89.5
139.0 114.0 3 89.0
138.5 113.5 88.5 27 7
138.0 113.0 88.0
137.5 112.5 2 1 87.5
137.0 112.0 87.0 12 9
136.5 111.5 86.5
136.0 111.0 3 1 86.0
135.5 110.5 85.5 17 14
135.0 1 110.0 85.0
134.5 109.5 1 84.5
134.0 109.0 84.0 12 6
133.5 108.5 83.5
133.0 108.0 3 83.0
132.5 107.5 82.5 37 14
132.0 2 107.0 82.0
131.5 106.5 3 1 81.5
131.0 106.0 81.0 26 13
130.5 1 105.5 80.5
130.0 105.0 7 1 80.0
129.5 104.5 79.5 29 16
129.0 1 104.0 79.0
128.5 103.5 4 78.5
128.0 103.0 78.0 21 14
127.5 102.5 77.5
127.0 102.0 5 77.0
126.5 101.5 76.5 43 14
126.0 101.0 76.0
125.5 100.5 10 6 75.5
American Mathematics Competitions
2007 AMC 12 A Results for North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 32 22 50.0 25.0
74.5 49.5 15 25 24.5
74.0 49.0 24.0 1 3
73.5 31 21 48.5 23.5
73.0 48.0 22 20 23.0
72.5 47.5 22.5 1
72.0 23 25 47.0 22.0
71.5 46.5 8 19 21.5
71.0 46.0 21.0 2
70.5 33 30 45.5 20.5
70.0 45.0 6 14 20.0
69.5 44.5 19.5 1
69.0 23 27 44.0 19.0
68.5 43.5 8 22 18.5
68.0 43.0 18.0 1 2
67.5 31 18 42.5 17.5
67.0 42.0 4 20 17.0
66.5 41.5 16.5
66.0 14 25 41.0 16.0
65.5 40.5 4 11 15.5
65.0 40.0 15.0 1
64.5 41 40 39.5 14.5
64.0 39.0 6 19 14.0
63.5 38.5 13.5
63.0 30 19 38.0 13.0
62.5 37.5 2 11 12.5
62.0 37.0 12.0
61.5 23 23 36.5 11.5
61.0 36.0 3 9 11.0
60.5 35.5 10.5
60.0 24 30 35.0 10.0
59.5 34.5 7 9.5
59.0 34.0 9.0
58.5 27 29 33.5 8.5
58.0 33.0 2 2 8.0
57.5 32.5 7.5
57.0 22 26 32.0 7.0
56.5 31.5 2 6.5
56.0 31.0 6.0
55.5 29 27 30.5 5.5
55.0 30.0 3 5.0
54.5 29.5 4.5
54.0 23 35 29.0 4.0
53.5 28.5 3.5
53.0 28.0 3.0
52.5 14 24 27.5 2.5
52.0 27.0 2 2.0
51.5 26.5 1.5
51.0 22 22 26.0 1.0
50.5 25.5 2 1 .5
0.0 0 0
American Mathematics Competitions
2007 AMC 12 A Results for North Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 1
145.5 1
139.5 1
135.0 1
132.0 2
130.5 1
129.0 1
126.0 1
124.5 1
123.0 1
121.5 1
120.0 2
115.5 1
114.0 3
112.5 1 1 1
111.0 1 1 2
109.5 1
108.0 1 2
106.5 2 1 1
105.0 1 5 2
103.5 2 2
102.0 2 3
100.5 1 8 7
99.0 1 4 5
97.5 1 6 4 2
96.0 1 6 5
94.5 1 3 6 20
93.0 11 14
91.5 2 8 13
90.0 2 5 4
88.5 4 22 8
87.0 1 9 11 1 1
85.5 2 16 17
84.0 10 8 1
82.5 5 22 25
81.0 3 6 16 16 1
79.5 1 22 24 1
78.0 3 19 14
76.5 1 1 28 31
75.0 1 29 25 1
73.5 2 3 22 28
72.0 2 26 21
70.5 1 4 36 27 1
69.0 2 2 32 17 1
67.5 2 2 22 25
66.0 1 4 16 18
64.5 2 3 40 38 2
63.0 7 3 24 17 1
61.5 4 4 21 17
60.0 1 5 25 27
58.5 2 1 32 25
57.0 4 24 21
55.5 1 5 26 26
54.0 2 31 28
52.5 1 2 22 19 1
51.0 1 6 29 10
49.5 1 4 29 7
48.0 2 3 25 15 1
46.5 16 12 1
45.0 1 6 13
43.5 2 17 12
42.0 1 12 12
40.5 7 8
39.0 1 2 16 6
37.5 7 6 1
36.0 3 6 5 1
34.5 1 2 4
33.0 3 2
31.5 2
30.0 1 2
27.0 2
25.5 2 1
24.0 2 2
22.5 1
21.0 1 1
19.5 1
18.0 1 2
15.0 1
American Mathematics Competitions
2007 AMC 12 A Results for North Carolina
Analysis
Table of Item Difficulty for the 2007
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.17 1.41 96.10* 1.41 0.51 0.40 0.00
2 2.60 2.71 1.81 77.49* 2.77 12.61 0.00
3 92.31* 0.34 2.83 0.34 0.79 3.39 0.00
4 80.54* 2.04 8.99 1.87 2.94 3.62 0.00
5 0.34 0.96 12.22 81.22* 0.68 4.58 0.00
6 8.88 3.22 4.13 68.44* 2.32 13.01 0.00
7 30.54 0.90 30.66* 0.28 9.33 28.28 0.00
8 2.26 3.90 40.95* 13.57 16.06 23.25 0.00
9 5.09 40.89* 2.66 2.77 14.03 34.50 0.06
10 28.17* 9.56 3.56 3.51 2.09 53.11 0.00
11 9.05 4.69 5.66 27.66* 1.02 51.92 0.00
12 7.18 4.98 20.64 6.96 16.18* 44.00 0.06
13 7.52 41.97* 14.48 8.37 3.73 23.87 0.06
14 6.11 17.14 28.34* 3.17 2.15 43.10 0.00
15 8.99 4.47 16.80 5.32 34.33* 29.98 0.11
16 10.58 4.69 8.82* 8.60 3.05 64.25 0.00
17 4.30 7.86* 3.73 3.45 3.39 77.26 0.00
18 3.28 2.77 3.39 6.90* 2.83 80.83 0.00
19 2.60 3.05 4.36 3.11 3.34* 83.54 0.00
20 1.75 4.47* 3.00 4.52 3.96 82.30 0.00
21 4.24* 4.75 8.43 6.45 6.00 70.14 0.00
22 8.09 6.17 7.92 4.02* 1.24 72.57 0.00
23 4.52* 2.71 4.41 2.77 3.79 81.79 0.00
24 1.30 3.56 3.79 1.64* 2.38 87.33 0.00
25 4.58 4.30 2.77 3.22 2.55* 82.58 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
2007 AMC 10 B Results for North Carolina
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 1
148.5 123.5 98.5
148.0 123.0 98.0
147.5 122.5 97.5 1
147.0 122.0 97.0
146.5 121.5 96.5
146.0 121.0 96.0 3 1
145.5 120.5 95.5
145.0 120.0 95.0
144.5 119.5 94.5 3 3
144.0 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0 4 2
142.5 117.5 92.5
142.0 117.0 92.0
141.5 116.5 91.5 2 1
141.0 116.0 91.0
140.5 115.5 1 1 90.5
140.0 115.0 90.0 4
139.5 114.5 89.5
139.0 114.0 89.0
138.5 113.5 88.5 4
138.0 113.0 88.0
137.5 112.5 87.5
137.0 112.0 87.0 5 1
136.5 111.5 86.5
136.0 111.0 86.0
135.5 110.5 85.5 7 3
135.0 110.0 85.0
134.5 109.5 1 1 84.5
134.0 109.0 84.0 8 2
133.5 108.5 83.5
133.0 108.0 83.0
132.5 107.5 82.5 6 2
132.0 1 107.0 82.0
131.5 106.5 2 1 81.5
131.0 106.0 81.0 10 4
130.5 105.5 80.5
130.0 105.0 2 80.0
129.5 104.5 79.5 8 4
129.0 104.0 79.0
128.5 103.5 78.5
128.0 103.0 78.0 13 5
127.5 102.5 77.5
127.0 102.0 6 1 77.0
126.5 101.5 76.5 8 10
126.0 101.0 76.0
125.5 100.5 3 75.5
American Mathematics Competitions
2007 AMC 10 B Results for North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 8 50.0 25.0
74.5 49.5 8 7 24.5
74.0 49.0 24.0
73.5 8 8 48.5 23.5
73.0 48.0 8 13 23.0
72.5 47.5 22.5
72.0 11 11 47.0 22.0
71.5 46.5 2 4 21.5
71.0 46.0 21.0
70.5 12 8 45.5 20.5
70.0 45.0 6 6 20.0
69.5 44.5 19.5
69.0 16 10 44.0 19.0
68.5 43.5 5 3 18.5
68.0 43.0 18.0
67.5 11 10 42.5 17.5
67.0 42.0 5 3 17.0
66.5 41.5 16.5
66.0 7 13 41.0 16.0
65.5 40.5 3 4 15.5
65.0 40.0 15.0 1
64.5 15 12 39.5 14.5
64.0 39.0 2 5 14.0
63.5 38.5 13.5
63.0 6 13 38.0 13.0
62.5 37.5 5 2 12.5
62.0 37.0 12.0
61.5 5 12 36.5 11.5
61.0 36.0 2 5 11.0
60.5 35.5 10.5
60.0 13 18 35.0 10.0
59.5 34.5 1 4 9.5
59.0 34.0 9.0
58.5 10 6 33.5 8.5
58.0 33.0 1 3 8.0
57.5 32.5 7.5
57.0 8 8 32.0 7.0
56.5 31.5 1 1 6.5
56.0 31.0 6.0
55.5 11 19 30.5 5.5
55.0 30.0 3 3 5.0
54.5 29.5 4.5
54.0 11 14 29.0 4.0
53.5 28.5 1 1 3.5
53.0 28.0 3.0
52.5 9 9 27.5 2.5
52.0 27.0 2 2.0
51.5 26.5 1.5
51.0 7 10 26.0 1.0
50.5 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2007 AMC 10 B Results for North Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
132.0 1
115.5 1 1
109.5 1 1
106.5 1 2
105.0 2
102.0 3 4
100.5 3
99.0 2 1
97.5 1
96.0 2 2
94.5 4 1 1
93.0 1 5
91.5 1 1 1
90.0 2 2
88.5 3 1
87.0 3 4
85.5 6 5
84.0 2 3 6
82.5 1 2 5
81.0 1 7 6
79.5 1 6 5
78.0 2 7 9
76.5 3 5 10
75.0 1 5 11
73.5 9 7 1
72.0 2 8 12
70.5 1 5 15
69.0 2 13 11 1
67.5 3 7 12
66.0 9 13 1
64.5 1 2 13 11 2
63.0 2 7 14
61.5 2 15 1
60.0 4 12 16
58.5 1 1 7 6 1
57.0 1 7 10 2
55.5 4 15 12
54.0 2 10 13 1
52.5 2 9 8
51.0 2 8 7
49.5 1 8 7
48.0 1 9 11 1
46.5 3 5
45.0 6 5 1
43.5 1 4 4
42.0 1 2 5
40.5 4 3
39.0 4 3
37.5 1 1 4 1
36.0 1 1 2 3
34.5 2 1 1 1
33.0 4 1
31.5 3
30.0 1 1 4
28.5 1 1
27.0 1 1
25.5 1
19.5 1
15.0 1
American Mathematics Competitions
2007 AMC 10 B Results for North Carolina
Analysis
Table of Item Difficulty for the 2007
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.15 1.37 3.03 3.95 79.67* 11.84 0.00
2 1.21 0.76 12.14 0.91 76.63* 8.35 0.00
3 0.15 26.25* 66.16 1.21 0.76 5.46 0.00
4 0.61 3.03 1.67 66.62* 6.22 21.85 0.00
5 9.86 7.59 7.74 59.33* 6.22 9.26 0.00
6 0.00 1.06 3.79 79.36* 15.63 0.15 0.00
7 26.71 2.12 18.66 3.49 23.67* 25.34 0.00
8 5.61 9.41 8.04 18.51* 5.92 52.50 0.00
9 9.26 2.73 2.88 73.29* 6.83 5.01 0.00
10 13.66* 8.19 16.08 9.56 11.99 40.52 0.00
11 10.47 7.44 5.92* 4.70 5.31 66.16 0.00
12 13.20 6.37 5.92 21.85* 5.92 46.74 0.00
13 1.82 4.55 4.70 11.84* 7.89 69.20 0.00
14 1.21 4.25 67.98* 6.37 5.46 14.72 0.00
15 2.73 10.02 1.97 44.61* 5.16 35.51 0.00
16 21.24 4.25 56.60* 4.25 1.82 11.84 0.00
17 5.46 4.70 5.31 6.07* 0.91 77.54 0.00
18 1.97 14.57* 6.07 7.89 5.77 63.73 0.00
19 6.22 6.37 28.68* 3.79 2.28 52.66 0.00
20 3.64 12.14 12.14* 6.83 5.77 59.48 0.00
21 7.44 5.16* 3.64 4.55 8.95 70.26 0.00
22 12.29 10.02* 5.46 13.35 14.57 44.31 0.00
23 0.46 7.28 3.79 8.04 5.01* 75.42 0.00
24 3.19 6.22 6.98* 3.79 5.46 74.36 0.00
25 2.73* 3.34 4.40 0.76 27.47 61.31 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
2007 AMC 12 B Results for North Carolina
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 7 3
148.5 123.5 98.5
148.0 123.0 98.0
147.5 122.5 97.5 3 1
147.0 122.0 97.0
146.5 121.5 96.5
146.0 121.0 96.0 11 4
145.5 120.5 95.5
145.0 120.0 1 95.0
144.5 119.5 94.5 20 8
144.0 119.0 94.0
143.5 118.5 1 93.5
143.0 118.0 93.0 5 5
142.5 117.5 92.5
142.0 117.0 92.0
141.5 116.5 91.5 10 3
141.0 1 116.0 91.0
140.5 115.5 1 90.5
140.0 115.0 90.0 15 10
139.5 114.5 89.5
139.0 114.0 2 89.0
138.5 113.5 88.5 26 8
138.0 113.0 88.0
137.5 112.5 2 87.5
137.0 112.0 87.0 9 9
136.5 111.5 86.5
136.0 111.0 2 86.0
135.5 110.5 85.5 10 3
135.0 110.0 85.0
134.5 109.5 4 84.5
134.0 109.0 84.0 7 9
133.5 108.5 83.5
133.0 108.0 1 83.0
132.5 107.5 82.5 18 18
132.0 107.0 82.0
131.5 106.5 1 1 81.5
131.0 106.0 81.0 11 7
130.5 105.5 80.5
130.0 105.0 3 2 80.0
129.5 104.5 79.5 16 8
129.0 1 1 104.0 79.0
128.5 103.5 3 3 78.5
128.0 103.0 78.0 13 11
127.5 102.5 77.5
127.0 102.0 5 1 77.0
126.5 101.5 76.5 25 16
126.0 101.0 76.0
125.5 100.5 12 3 75.5
American Mathematics Competitions
2007 AMC 12 B Results for North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 11 50.0 25.0
74.5 49.5 1 4 24.5
74.0 49.0 24.0 1
73.5 13 12 48.5 23.5
73.0 48.0 1 2 23.0
72.5 47.5 22.5
72.0 4 12 47.0 22.0
71.5 46.5 4 21.5
71.0 46.0 21.0
70.5 10 14 45.5 20.5
70.0 45.0 1 2 20.0
69.5 44.5 19.5
69.0 8 10 44.0 19.0
68.5 43.5 1 2 18.5
68.0 43.0 18.0
67.5 8 7 42.5 17.5
67.0 42.0 3 4 17.0
66.5 41.5 16.5
66.0 9 4 41.0 16.0
65.5 40.5 1 3 15.5
65.0 40.0 15.0 1
64.5 15 7 39.5 14.5
64.0 39.0 14.0
63.5 38.5 13.5
63.0 4 11 38.0 13.0
62.5 37.5 1 12.5
62.0 37.0 12.0
61.5 2 7 36.5 11.5
61.0 36.0 1 5 11.0
60.5 35.5 10.5
60.0 8 9 35.0 10.0
59.5 34.5 1 1 9.5
59.0 34.0 9.0
58.5 2 6 33.5 8.5
58.0 33.0 1 8.0
57.5 32.5 7.5
57.0 4 2 32.0 7.0
56.5 31.5 1 2 6.5
56.0 31.0 6.0
55.5 6 2 30.5 5.5
55.0 30.0 5.0
54.5 29.5 4.5
54.0 4 3 29.0 4.0
53.5 28.5 1 3.5
53.0 28.0 3.0
52.5 2 6 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 5 2 26.0 1.0
50.5 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2007 AMC 12 B Results for North Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
141.0 1
129.0 1 1
120.0 1 1
118.5 1
115.5 1 1
114.0 2
112.5 1 2
111.0 1 1
109.5 1 2 1
108.0 1 1
106.5 1 1
105.0 3 2
103.5 1 5
102.0 4 2
100.5 1 2 5 7 1
99.0 2 3 5
97.5 2 2
96.0 1 1 6 7
94.5 1 2 12 15
93.0 1 5 4
91.5 1 5 8
90.0 1 4 7 14
88.5 3 1 5 9 18 1
87.0 1 5 8 6
85.5 1 1 7 4
84.0 1 1 2 5 7 1
82.5 4 3 12 18
81.0 2 7 5 4
79.5 2 5 8 9
78.0 1 1 11 10 2
76.5 3 1 3 20 18 2
75.0 1 3 11 4
73.5 1 2 17 6 1
72.0 2 7 7
70.5 1 1 3 8 10 2
69.0 1 2 1 1 9 5
67.5 1 1 6 7
66.0 3 7 4
64.5 2 1 1 6 12 1
63.0 3 7 5
61.5 1 1 1 3 3 1
60.0 1 1 11 5
58.5 1 1 5 2 1
57.0 2 4
55.5 1 1 3 4
54.0 1 4 2
52.5 7 2 1
51.0 4 3
49.5 1 1 4
48.0 1 2
46.5 2 2
45.0 3
43.5 1 2 1
42.0 4 3
40.5 3 1
37.5 1
36.0 6 1
34.5 2
33.0 1
31.5 2 1
28.5 1
25.5 1
24.0 1
15.0 1
American Mathematics Competitions
2007 AMC 12 B Results for North Carolina
Analysis
Table of Item Difficulty for the 2007
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.71 0.85 0.85 1.57 92.59* 3.42 0.00
2 0.00 49.72* 46.72 0.57 0.28 2.56 0.14
3 1.00 2.71 1.57 78.49* 2.28 13.96 0.00
4 0.71 94.73* 0.28 1.71 1.42 1.14 0.00
5 0.14 1.14 3.85 88.03* 6.41 0.43 0.00
6 0.43 0.71 4.56 86.75* 2.99 4.56 0.00
7 13.82 2.14 16.67 2.42 46.58* 18.38 0.00
8 9.69 4.13 4.27 49.15* 4.70 28.06 0.00
9 57.55* 1.00 9.12 1.00 21.37 9.97 0.00
10 0.43 2.42 86.18* 2.85 3.99 4.13 0.00
11 1.57 11.25 1.00 71.23* 1.57 13.39 0.00
12 9.83 1.71 82.91* 2.14 0.28 3.13 0.00
13 2.85 38.75 5.98 35.04* 1.57 15.81 0.00
14 3.42 6.98 5.70 13.68* 1.28 68.95 0.00
15 1.99 1.71 1.99 3.70 5.84* 84.76 0.00
16 4.13* 3.28 3.28 3.28 2.14 83.76 0.14
17 1.99 8.97 10.11 11.40* 11.97 55.56 0.00
18 1.00 3.13 33.90* 2.85 1.14 57.98 0.00
19 8.12* 2.99 2.71 3.28 8.55 74.36 0.00
20 1.57 3.70 1.71 3.70* 1.28 88.03 0.00
21 3.42* 7.41 2.56 3.70 1.42 81.48 0.00
22 7.41* 2.71 3.99 5.98 11.11 68.80 0.00
23 4.56* 2.28 2.14 1.14 1.14 88.75 0.00
24 1.85* 2.14 1.00 0.43 15.81 78.77 0.00
25 2.42 3.28 10.11* 2.71 3.56 77.92 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column