American Mathematics Competitions
GRAND STATISTICS
2010 AMC 10 A Results
TOTAL NUMBER of official students taking exam: 62254
Number of unofficial participants: 1153
Average score of participants: 70.8
Average score for female students is: 66.5 ( 22988 Students)
Average score for male students is: 74.8 ( 28438 Students)
Average score for unspecified gender is 69.4 ( 10828 Students)
Average score for grade 10 is: 73.1 ( 30768 Students)
Average score for grade 9 is: 66.5 ( 21717 Students)
Average score for grade 8 and below is: 79.6 ( 4686 Students)
Average score with unknown grade: 66.5 ( 5083 Students)
AIME qualifying score = 118.5 or better
Number of AIME qualifers 960
Number of schools returning results 2197
Average school winning score 99.67
American Mathematics Competitions
GRAND STATISTICS
2010 AMC 12 A Results
TOTAL NUMBER of official students taking exam: 67155
Number of unofficial participants: 1300
Average score of participants: 62.5
Average score for female students is: 58.6 ( 23921 Students)
Average score for male students is: 65.4 ( 33296 Students)
Average score for unspecified gender is 62.1 ( 9938 Students)
Average score for grade 13 is: 66.9 ( 61 Students)
Average score for grade 12 is: 63.6 ( 26546 Students)
Average score for grade 11 is: 61.5 ( 31229 Students)
Average score for grade 10 is: 64.0 ( 4258 Students)
Average score for grade 9 is: 62.2 ( 1173 Students)
Average score for grade 8 and below is: 74.6 ( 184 Students)
Average score with unknown grade: 60.5 ( 3704 Students)
AIME qualifying score = 88.5 or better
Number of AIME qualifers 4874
Number of schools returning results 2323
Average school winning score 88.35
Average school team score 239.82
American Mathematics Competitions
GRAND STATISTICS
2010 AMC 10 B Results
TOTAL NUMBER of official students taking exam: 38091
Number of unofficial participants: 267
Average score of participants: 68.3
Average score for female students is: 63.2 ( 13402 Students)
Average score for male students is: 72.0 ( 16796 Students)
Average score for unspecified gender is 69.3 ( 7893 Students)
Average score for grade 10 is: 69.2 ( 18231 Students)
Average score for grade 9 is: 64.2 ( 12880 Students)
Average score for grade 8 and below is: 78.1 ( 3124 Students)
Average score with unknown grade: 70.0 ( 3856 Students)
AIME qualifying score = 118.5 or better
Number of AIME qualifers 770
Number of schools returning results 1461
Average school winning score 97.34
American Mathematics Competitions
GRAND STATISTICS
2010 AMC 12 B Results
TOTAL NUMBER of official students taking exam: 40750
Number of unofficial participants: 151
Average score of participants: 59.8
Average score for female students is: 54.7 ( 13367 Students)
Average score for male students is: 62.4 ( 20428 Students)
Average score for unspecified gender is 62.1 ( 6955 Students)
Average score for grade 13 is: 62.8 ( 99 Students)
Average score for grade 12 is: 59.5 ( 14223 Students)
Average score for grade 11 is: 58.6 ( 18927 Students)
Average score for grade 10 is: 63.1 ( 3210 Students)
Average score for grade 9 is: 64.9 ( 1072 Students)
Average score for grade 8 and below is: 70.4 ( 392 Students)
Average score with unknown grade: 62.4 ( 2827 Students)
AIME qualifying score = 88.5 or better
Number of AIME qualifers 3270
Number of schools returning results 1735
Average school winning score 87.18
Average school team score 231.15
2010 AMC Contest Score Distributions
-----------------------------------------------
score 12A 12B 10A 10B
-----------------------------------------------
150.0 4 1 5 1
148.5
147.0
145.5 1 2 6
144.0 2 6 9 18
142.5
141.0 5 7 11
139.5 4 5 15
138.0 8 4 16 14
136.5 4 1 14 17
135.0 3 4 12 24
133.5 4 3 19 16
132.0 11 9 60 55
130.5 9 5 29 29
129.0 10 4 21 22
127.5 18 11 52 38
126.0 26 10 112 93
124.5 5 6 49 44
123.0 23 12 89 52
121.5 35 20 140 73
120.0 41 26 189 162
118.5 33 21 130 80
117.0 44 25 198 123
115.5 47 29 176 103
114.0 67 41 369 223
112.5 66 47 227 129
111.0 68 49 256 138
109.5 102 54 328 185
108.0 115 98 538 351
106.5 114 77 339 188
105.0 123 88 430 244
103.5 154 125 495 268
102.0 198 143 797 526
100.5 223 167 520 287
99.0 222 152 656 366
97.5 218 174 674 412
96.0 297 222 1048 644
94.5 514 313 784 359
93.0 348 213 833 488
91.5 405 232 910 509
90.0 564 357 1341 782
88.5 749 511 1015 540
87.0 622 357 1088 607
85.5 714 388 1194 654
84.0 884 560 1645 903
82.5 1117 700 1220 691
81.0 1034 573 1341 733
79.5 948 562 1422 720
78.0 1457 790 1851 1051
76.5 1531 831 1479 745
75.0 1365 775 1504 757
73.5 1545 814 1552 884
72.0 2145 1103 2065 1150
70.5 1859 1025 1588 877
69.0 1874 941 1627 864
67.5 2246 1009 1602 886
66.0 2824 1384 2105 1232
64.5 2400 1122 1623 867
63.0 2395 1110 1584 866
61.5 2415 1137 1696 917
60.0 2981 1516 2064 1158
58.5 2538 1200 1532 891
57.0 2454 1202 1435 862
55.5 2422 1241 1529 889
54.0 2803 1433 1841 1083
52.5 2218 1184 1230 780
51.0 2071 1186 1225 778
49.5 1891 1128 1232 770
48.0 2351 1465 1561 944
46.5 1607 1054 961 658
45.0 1439 993 859 589
43.5 1284 934 806 558
42.0 1623 1191 1134 790
40.5 878 822 571 486
39.0 735 693 514 433
37.5 732 759 529 486
36.0 836 887 628 585
34.5 378 504 270 320
33.0 289 442 237 295
31.5 256 404 197 286
30.0 423 586 320 337
28.5 136 236 89 156
27.0 93 199 68 150
25.5 92 175 60 147
24.0 171 326 146 205
22.5 39 92 23 54
21.0 27 78 22 68
19.5 22 72 20 61
18.0 62 146 39 107
16.5 6 26 3 28
15.0 5 22 18
13.5 8 9 4 10
12.0 24 64 18 41
10.5 3 6 6
9.0 4 5
7.5 2 1 1 3
6.0 4 17 6 10
4.5 1
3.0
1.5 3
3 2 1
American Mathematics Competitions
SCORE DISTRIBUTION
2010 AMC 10 A Results
GENDER and GRADES
score ----gender----------- -----------------grade-----------------
male female ?
American Mathematics Competitions
SCORE DISTRIBUTION
2010 AMC 12 A Results
GENDER and GRADES
score ----gender------------ ---------------------------grade---------------------------
male female ?
American Mathematics Competitions
SCORE DISTRIBUTION
2010 AMC 10 B Results
GENDER and GRADES
score ----gender----------- -----------------grade-----------------
male female ?
American Mathematics Competitions
SCORE DISTRIBUTION
2010 AMC 12 B Results
GENDER and GRADES
score ----gender------------ ---------------------------grade---------------------------
male female ?
American Mathematics Competitions
Analysis
2010 AMC 10 A Results
Table of Item Difficulty for the 2010
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.21 1.56 1.23 91.61* 4.94 0.43 0.01
2 6.40 80.41* 2.29 0.92 2.84 7.13 0.01
3 0.08 0.48 1.12 95.96* 0.98 1.38 0.01
4 1.61 80.14* 3.12 1.49 3.20 10.41 0.02
5 0.93 4.79 11.74 2.75 70.22* 9.52 0.05
6 3.85 3.59 60.84* 3.06 3.68 24.97 0.01
7 11.06 9.63 43.60* 11.63 6.86 17.18 0.03
8 1.34 2.34 19.47 53.55* 3.35 19.94 0.01
9 1.43 2.03 2.96 7.74 60.00* 25.81 0.03
10 12.19 23.29 12.45 4.13 25.82* 22.10 0.03
11 8.12 21.19 3.52 21.03* 0.99 45.13 0.02
12 25.66 17.93 15.34* 2.93 2.37 35.73 0.03
13 50.88* 2.72 1.10 1.55 20.74 22.97 0.04
14 10.20 12.15 24.84* 5.79 7.87 39.12 0.04
15 2.26 16.37 24.52 43.27* 2.30 11.24 0.04
16 8.94 25.11* 5.19 4.04 1.29 55.42 0.02
17 39.29* 5.76 4.21 7.90 15.34 27.47 0.03
18 5.26 5.58* 10.20 8.85 3.82 66.26 0.03
19 6.64 5.65 4.32 3.70 5.24* 74.43 0.02
20 10.23 7.85 8.32 18.15* 3.22 52.21 0.02
21 10.38* 6.04 5.47 4.41 1.32 72.37 0.03
22 10.08* 15.85 4.48 8.19 3.51 57.86 0.04
23 6.17* 5.32 5.81 4.82 3.32 74.52 0.04
24 8.15* 5.53 7.35 3.99 3.99 70.97 0.03
25 8.36 7.55* 6.82 10.15 7.17 59.92 0.04
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
Analysis
2010 AMC 12 A Results
Table of Item Difficulty for the 2010
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.66 4.83 90.54* 1.61 1.01 1.34 0.01
2 94.35* 2.51 0.37 1.12 0.35 1.28 0.02
3 7.32 18.27 3.18 8.18 46.86* 16.16 0.03
4 2.76 14.53 4.05 72.72* 3.47 2.42 0.04
5 5.65 6.44 32.83* 4.42 22.89 27.71 0.05
6 0.85 1.47 2.14 4.68 76.97* 13.86 0.04
7 23.93 16.61 24.84* 2.70 1.95 29.93 0.04
8 8.01 13.52 29.36* 7.80 7.82 33.45 0.04
9 55.20* 4.77 3.59 6.25 15.01 15.15 0.04
10 30.48* 3.89 7.15 3.21 3.23 52.00 0.03
11 1.96 10.09 29.91* 3.92 2.65 51.44 0.03
12 1.69 15.43 20.23 52.01* 1.88 8.66 0.10
13 15.63 9.97 11.77* 5.89 3.25 53.43 0.05
14 8.60 24.65* 5.22 4.29 1.48 55.73 0.03
15 3.14 6.08 4.43 9.81* 4.29 72.22 0.03
16 5.31 6.36* 9.89 8.46 3.92 66.02 0.03
17 6.26 5.75 4.31 3.94 6.40* 73.31 0.03
18 4.89 10.92 8.35 8.05* 3.23 64.53 0.04
19 7.31* 6.07 5.61 4.34 2.93 73.72 0.03
20 3.39 4.23 11.44* 7.58 4.15 69.18 0.04
21 2.77* 3.81 5.48 4.97 2.72 80.21 0.04
22 5.25* 4.38 6.26 4.31 3.66 76.10 0.03
23 8.53* 5.64 7.00 3.93 3.81 71.04 0.05
24 3.40 4.19* 4.01 3.04 1.96 83.37 0.03
25 2.56 5.68 6.02* 3.71 1.68 80.32 0.03
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
Analysis
2010 AMC 10 B Results
Table of Item Difficulty for the 2010
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.47 1.11 89.79* 0.32 6.63 1.68 0.01
2 5.55 5.00 82.18* 3.08 1.74 2.44 0.01
3 2.62 8.62 64.10* 14.51 2.39 7.75 0.01
4 1.40 6.08 70.67* 3.29 3.03 15.51 0.02
5 13.54 49.20* 13.26 12.25 3.11 8.60 0.03
6 2.56 65.22* 2.99 8.56 4.25 16.40 0.02
7 2.86 5.28 3.93 67.69* 5.11 15.11 0.02
8 3.21 5.38 9.89 30.30 41.39* 9.74 0.10
9 4.54 4.44 9.30 53.78* 9.84 18.08 0.02
10 5.41 4.63 57.46* 5.05 2.83 24.61 0.01
11 19.80* 6.17 7.27 4.67 5.75 56.30 0.03
12 12.90 15.45 8.90 38.94* 4.31 19.46 0.03
13 13.02 20.22 20.14* 4.68 1.83 40.10 0.02
14 4.73 28.56* 10.95 5.79 8.81 41.14 0.02
15 13.50 4.28 64.62* 5.19 3.21 9.16 0.04
16 47.80 12.39* 2.11 1.29 2.22 34.17 0.02
17 13.34 29.38* 17.54 4.69 3.97 31.00 0.08
18 13.18 5.06 5.58 5.27 6.88* 64.02 0.01
19 6.84 11.99* 8.20 6.65 4.15 62.16 0.01
20 3.83 5.20 8.32 7.71* 1.97 72.96 0.02
21 9.22 10.01 18.36 3.40 7.79* 51.20 0.03
22 3.85 5.50 14.37* 4.95 3.74 67.57 0.01
23 10.07 9.52 10.95 5.28* 2.70 61.44 0.03
24 3.48 5.23 7.86 5.70 4.73* 72.98 0.03
25 4.78 5.56* 3.39 6.78 5.05 74.43 0.02
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
Analysis
2010 AMC 12 B Results
Table of Item Difficulty for the 2010
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 4.47 4.48 85.48* 2.78 1.67 1.12 0.00
2 88.09* 2.30 8.31 0.44 0.31 0.54 0.01
3 2.98 4.40 9.81 31.26 46.39* 5.04 0.11
4 12.25 57.87* 12.46 10.26 2.43 4.71 0.01
5 2.89 3.21 9.22 69.75* 6.73 8.18 0.01
6 11.43 12.27 8.75 53.34* 4.61 9.58 0.02
7 4.20 4.26 71.90* 4.89 2.05 12.69 0.01
8 13.71 44.57* 16.33 4.61 3.41 17.32 0.05
9 11.28 20.75 6.96 7.19 17.25* 36.53 0.03
10 5.97 37.82* 10.72 6.59 9.80 29.08 0.01
11 10.80 12.44 17.92 3.95 13.46* 41.40 0.03
12 4.54 6.44 6.66 39.98* 3.64 38.73 0.01
13 1.98 2.90 18.87* 8.32 9.01 58.91 0.00
14 6.53 10.64* 6.47 4.21 29.75 42.38 0.02
15 4.05 4.97 5.45 6.08* 2.11 77.33 0.02
16 11.00 5.32 5.39 6.08 9.35* 62.84 0.02
17 11.17 12.56 12.05 7.47* 3.39 53.33 0.03
18 13.45 4.82 15.11* 18.14 10.62 37.82 0.04
19 3.88 6.39 8.31 6.16 8.41* 66.82 0.02
20 4.41 9.72 5.66 4.42 4.53* 71.25 0.02
21 4.01 5.10* 3.33 6.01 4.16 77.37 0.02
22 2.73 4.05 5.20 4.95* 2.53 80.53 0.02
23 2.07* 7.51 5.32 4.62 2.76 77.70 0.02
24 3.45 5.12 5.93* 2.91 1.78 80.80 0.01
25 2.52 3.81 4.73 4.30* 2.65 81.98 0.01
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
Analysis
2010 AMC 10 A Results
Table of Item Difficulty for the 2010
Tabulation of responses by 30768 Student(s), Grade 10^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.20 1.64 1.22 92.25* 4.30 0.39 0.00
2 5.71 82.58* 1.95 0.76 2.57 6.42 0.01
3 0.07 0.45 1.05 96.43* 0.79 1.20 0.01
4 1.47 82.20* 2.91 1.42 2.89 9.10 0.02
5 0.77 4.39 10.00 2.46 75.34* 6.98 0.04
6 3.44 3.12 67.54* 2.80 3.30 19.80 0.00
7 10.46 9.18 47.36* 10.84 6.86 15.26 0.04
8 1.15 2.15 19.63 56.76* 2.87 17.42 0.02
9 1.29 1.87 2.69 6.88 62.31* 24.93 0.03
10 12.43 22.72 12.51 4.11 25.72* 22.46 0.04
11 6.87 22.95 3.13 24.45* 0.89 41.69 0.02
12 24.92 17.13 17.01* 2.77 2.27 35.86 0.04
13 55.31* 2.33 0.89 1.35 19.66 20.42 0.03
14 9.70 12.52 27.10* 5.95 7.94 36.76 0.04
15 2.29 16.03 23.83 44.32* 2.17 11.30 0.06
16 9.40 26.46* 5.26 3.91 1.29 53.65 0.03
17 42.78* 5.52 3.97 7.06 15.44 25.20 0.03
18 4.91 5.56* 9.73 8.94 3.79 67.05 0.02
19 7.17 5.64 3.97 3.73 4.83* 74.65 0.02
20 10.57 8.26 8.69 19.44* 3.27 49.76 0.02
21 12.96* 5.92 5.51 4.27 1.29 70.03 0.02
22 9.81* 16.16 4.25 8.13 3.54 58.06 0.05
23 5.69* 5.40 5.81 4.65 3.21 75.20 0.04
24 8.03* 5.56 7.65 3.77 4.02 70.94 0.04
25 8.22 7.56* 6.96 10.11 7.10 60.00 0.05
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 10 A Results
Table of Item Difficulty for the 2010
Tabulation of responses by 21717 Student(s), Grade 9^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.23 1.60 1.35 90.46* 5.88 0.47 0.01
2 7.40 76.75* 2.68 1.17 3.21 8.78 0.00
3 0.09 0.57 1.24 95.17* 1.24 1.69 0.00
4 1.86 76.65* 3.55 1.71 3.68 12.53 0.01
5 1.22 5.53 14.98 3.26 61.44* 13.52 0.05
6 4.43 4.32 50.25* 3.39 4.43 33.15 0.02
7 12.39 10.07 36.94* 13.36 7.12 20.09 0.03
8 1.51 2.48 20.13 48.95* 3.97 22.94 0.01
9 1.61 2.25 3.49 9.57 53.92* 29.12 0.05
10 11.92 24.22 12.60 4.15 24.16* 22.94 0.02
11 9.79 18.90 3.84 15.20* 1.07 51.19 0.01
12 26.75 18.97 12.01* 3.04 2.69 36.52 0.02
13 44.28* 3.44 1.27 1.79 22.60 26.57 0.04
14 11.17 11.71 21.70* 5.42 8.21 41.77 0.03
15 2.41 16.73 26.15 40.05* 2.62 12.02 0.02
16 8.66 23.07* 5.10 4.05 1.25 57.86 0.01
17 32.81* 6.23 4.42 9.06 15.71 31.75 0.03
18 5.61 5.29* 10.57 8.46 3.70 66.33 0.04
19 5.92 5.51 4.71 3.38 5.66* 74.80 0.02
20 10.22 7.21 7.62 14.89* 3.01 57.04 0.01
21 6.73* 6.01 5.43 4.45 1.32 76.02 0.04
22 10.49* 14.98 4.72 7.99 3.41 58.37 0.03
23 5.63* 4.85 5.67 4.93 3.26 75.62 0.04
24 8.44* 5.35 6.46 4.10 3.51 72.14 0.01
25 8.79 7.06* 6.50 9.79 7.26 60.56 0.03
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 10 A Results
Table of Item Difficulty for the 2010
Tabulation of responses by 4686 Student(s), Grades 8 and Below^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.17 1.09 0.55 94.41* 3.54 0.23 0.00
2 5.06 87.60* 1.75 0.51 1.98 3.09 0.00
3 0.04 0.19 0.75 98.02* 0.47 0.51 0.02
4 1.22 87.03* 2.11 0.79 1.81 7.02 0.02
5 0.58 2.84 5.89 2.30 82.35* 6.00 0.04
6 2.80 2.20 74.88* 2.62 2.50 14.98 0.02
7 7.79 9.39 55.25* 9.30 4.91 13.34 0.02
8 1.34 2.43 14.11 58.94* 3.29 19.89 0.00
9 1.24 1.60 2.01 3.14 78.45* 13.55 0.02
10 12.93 20.61 11.14 3.80 37.07* 14.45 0.00
11 7.23 19.97 3.91 32.31* 1.02 35.53 0.02
12 24.63 17.78 24.18* 2.86 1.45 29.02 0.09
13 59.82* 1.49 1.62 1.56 16.03 19.46 0.02
14 8.07 11.84 28.47* 6.42 5.89 39.24 0.06
15 1.09 16.15 21.40 54.25* 1.88 5.21 0.02
16 6.96 29.58* 5.06 4.23 1.34 52.84 0.00
17 53.07* 4.69 3.97 7.04 11.69 19.50 0.02
18 5.10 7.45* 12.08 9.75 4.61 60.97 0.04
19 6.36 6.27 4.42 4.93 6.66* 71.36 0.00
20 7.75 8.81 9.15 27.68* 3.59 42.96 0.06
21 14.68* 6.17 5.83 4.55 1.32 67.46 0.00
22 9.88* 19.21 4.52 9.35 4.20 52.82 0.02
23 13.08* 7.11 6.32 5.23 4.16 64.08 0.02
24 7.21* 6.23 10.03 5.04 6.17 65.30 0.02
25 7.64 10.20* 7.70 12.19 6.83 55.40 0.04
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 10 A Results
Table of Item Difficulty for the 2010
Tabulation of responses by 28438 Student(s), MALES
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.11 1.21 1.04 92.94* 4.35 0.36 0.01
2 6.40 83.40* 2.05 0.67 2.25 5.22 0.01
3 0.05 0.24 0.82 97.31* 0.71 0.86 0.01
4 1.35 84.03* 2.87 1.24 2.45 8.03 0.02
5 0.84 4.10 10.10 2.71 74.68* 7.51 0.06
6 3.46 2.91 66.92* 3.27 3.07 20.36 0.01
7 8.71 9.73 51.72* 10.13 6.34 13.33 0.04
8 1.19 2.11 16.76 60.93* 3.11 15.88 0.02
9 1.26 1.92 2.70 6.87 67.67* 19.52 0.05
10 11.94 21.39 11.61 4.06 29.33* 21.64 0.04
11 7.68 22.22 3.56 26.18* 0.97 39.36 0.02
12 26.00 18.53 19.68* 2.62 1.84 31.29 0.04
13 54.77* 2.08 1.11 1.51 20.52 19.96 0.05
14 9.44 12.22 27.58* 6.25 7.68 36.78 0.04
15 2.02 16.06 24.75 45.99* 2.23 8.89 0.06
16 8.54 26.94* 5.64 3.92 1.42 53.53 0.02
17 47.04* 5.42 3.91 7.28 13.41 22.91 0.03
18 5.83 6.27* 10.34 9.57 4.10 63.85 0.05
19 7.03 6.10 4.58 4.35 5.46* 72.45 0.03
20 9.49 8.36 9.19 22.93* 3.43 46.59 0.02
21 13.46* 6.23 5.83 4.67 1.41 68.37 0.03
22 9.42* 17.17 4.70 8.92 3.64 56.09 0.05
23 7.85* 6.39 6.50 5.19 3.80 70.21 0.05
24 7.96* 5.95 8.56 4.45 4.34 68.70 0.04
25 8.10 8.24* 7.63 11.15 7.09 57.72 0.07
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 10 A Results
Table of Item Difficulty for the 2010
Tabulation of responses by 22988 Student(s), Females
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.33 2.05 1.51 90.23* 5.41 0.46 0.00
2 6.36 77.01* 2.47 1.24 3.53 9.39 0.00
3 0.12 0.77 1.45 94.50* 1.28 1.88 0.00
4 1.87 75.58* 3.49 1.87 3.92 13.26 0.01
5 1.04 5.79 13.64 2.86 64.77* 11.86 0.03
6 4.22 4.30 54.02* 2.74 4.48 30.23 0.01
7 13.77 9.31 34.63* 13.59 7.52 21.16 0.03
8 1.45 2.54 23.30 45.50* 3.50 23.69 0.01
9 1.63 2.13 3.37 8.91 50.36* 33.58 0.02
10 12.66 25.86 13.46 4.24 21.72* 22.04 0.02
11 8.45 19.61 3.25 16.47* 0.97 51.26 0.01
12 25.48 17.03 11.19* 3.18 3.03 40.05 0.03
13 47.32* 3.51 1.11 1.55 20.76 25.73 0.02
14 11.09 11.90 22.81* 5.20 8.11 40.86 0.03
15 2.57 16.47 24.57 40.02* 2.51 13.84 0.02
16 9.55 24.63* 4.65 4.13 1.16 55.86 0.02
17 30.44* 6.26 4.48 8.60 17.57 32.63 0.03
18 4.58 4.91* 10.37 8.03 3.50 68.59 0.02
19 6.26 5.17 4.01 3.14 5.15* 76.28 0.00
20 11.31 7.36 7.40 12.46* 2.90 58.56 0.01
21 8.40* 5.61 5.15 4.14 1.22 75.47 0.02
22 11.09* 15.02 4.20 7.24 3.38 59.04 0.03
23 4.16* 4.09 5.19 4.52 2.89 79.11 0.03
24 8.31* 5.10 6.15 3.54 3.75 73.13 0.02
25 8.88 6.95* 6.06 9.13 7.40 61.55 0.03
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 10 A Results
Table of Item Difficulty for the 2010
Tabulation of responses by 10828 Student(s), Unknown Gender
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.23 1.46 1.15 91.08* 5.50 0.56 0.02
2 6.51 79.74* 2.54 0.92 2.94 7.34 0.01
3 0.06 0.51 1.19 95.53* 1.04 1.66 0.00
4 1.76 79.61* 3.02 1.36 3.61 10.62 0.02
5 0.94 4.52 12.00 2.63 70.06* 9.80 0.06
6 4.07 3.88 59.37* 3.18 3.57 25.91 0.01
7 11.44 10.05 41.34* 11.43 6.84 18.87 0.03
8 1.50 2.48 18.44 51.26* 3.68 22.64 0.00
9 1.47 2.10 2.75 7.54 60.29* 25.83 0.03
10 11.83 22.83 12.51 4.07 25.31* 23.42 0.02
11 8.55 21.85 4.02 17.20* 1.08 47.28 0.03
12 25.18 18.28 12.76* 3.20 2.36 38.22 0.02
13 48.24* 2.72 1.05 1.65 21.29 25.01 0.05
14 10.28 12.49 21.94* 5.85 7.83 41.56 0.06
15 2.23 16.97 23.83 43.03* 2.03 11.90 0.00
16 8.69 21.34* 5.13 4.16 1.24 59.43 0.01
17 37.70* 5.62 4.41 8.03 15.69 28.52 0.02
18 5.23 5.16* 9.47 8.70 3.76 67.66 0.03
19 6.46 5.46 4.30 3.20 4.85* 75.69 0.03
20 9.85 7.59 8.00 17.68* 3.35 53.51 0.02
21 6.47* 6.44 5.20 4.29 1.27 76.30 0.04
22 9.65* 14.14 4.46 8.27 3.44 60.01 0.03
23 6.02* 5.15 5.30 4.48 2.95 76.08 0.02
24 8.29* 5.37 6.70 3.70 3.56 72.34 0.03
25 7.91 7.02* 6.28 9.68 6.88 62.21 0.03
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 A Results
Table of Item Difficulty for the 2010
Tabulation of responses by 61 Student(s), Grade 13^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.00 4.92 91.80* 0.00 1.64 1.64 0.00
2 96.72* 1.64 0.00 1.64 0.00 0.00 0.00
3 4.92 9.84 6.56 1.64 62.30* 14.75 0.00
4 3.28 6.56 3.28 78.69* 4.92 3.28 0.00
5 4.92 4.92 29.51* 4.92 31.15 24.59 0.00
6 0.00 1.64 0.00 4.92 83.61* 9.84 0.00
7 18.03 18.03 40.98* 1.64 1.64 19.67 0.00
8 6.56 18.03 29.51* 6.56 6.56 32.79 0.00
9 54.10* 4.92 3.28 8.20 18.03 11.48 0.00
10 45.90* 4.92 9.84 1.64 1.64 36.07 0.00
11 0.00 11.48 45.90* 3.28 1.64 37.70 0.00
12 0.00 14.75 16.39 57.38* 3.28 8.20 0.00
13 22.95 8.20 16.39* 4.92 4.92 42.62 0.00
14 19.67 18.03* 4.92 6.56 1.64 49.18 0.00
15 3.28 3.28 4.92 14.75* 1.64 72.13 0.00
16 3.28 8.20* 8.20 8.20 4.92 67.21 0.00
17 3.28 4.92 9.84 3.28 9.84* 68.85 0.00
18 6.56 9.84 4.92 14.75* 4.92 59.02 0.00
19 6.56* 8.20 8.20 4.92 1.64 70.49 0.00
20 1.64 4.92 11.48* 11.48 4.92 65.57 0.00
21 4.92* 1.64 6.56 3.28 3.28 80.33 0.00
22 1.64* 1.64 8.20 9.84 1.64 77.05 0.00
23 3.28* 4.92 8.20 1.64 4.92 77.05 0.00
24 3.28 8.20* 3.28 1.64 1.64 81.97 0.00
25 1.64 3.28 6.56* 0.00 3.28 85.25 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 A Results
Table of Item Difficulty for the 2010
Tabulation of responses by 26546 Student(s), Grade 12^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.62 4.83 90.99* 1.43 0.98 1.13 0.02
2 94.72* 2.35 0.40 1.05 0.34 1.10 0.02
3 6.99 18.15 3.23 8.33 48.26* 15.01 0.04
4 2.46 11.71 3.36 77.39* 3.05 1.97 0.05
5 5.65 5.95 34.98* 4.23 22.44 26.69 0.05
6 0.87 1.52 2.04 4.24 78.28* 13.01 0.04
7 23.30 15.98 27.77* 2.55 1.80 28.56 0.05
8 7.18 13.71 28.44* 8.51 7.39 34.72 0.05
9 57.57* 4.86 3.57 5.89 14.10 13.96 0.05
10 32.59* 3.93 7.03 3.15 3.25 50.02 0.03
11 1.88 10.34 33.35* 3.89 2.61 47.90 0.03
12 1.70 15.03 18.93 53.16* 2.01 9.07 0.09
13 16.29 10.41 12.42* 5.94 3.29 51.60 0.05
14 8.26 23.59* 5.37 4.45 1.55 56.75 0.03
15 3.35 6.48 4.50 10.84* 4.12 70.68 0.03
16 5.10 6.41* 9.88 8.02 4.00 66.57 0.03
17 6.08 5.91 4.16 3.99 6.01* 73.82 0.03
18 4.77 10.43 8.59 8.41* 3.62 64.13 0.05
19 8.04* 6.54 5.63 4.23 2.94 72.58 0.04
20 3.48 4.28 11.68* 7.61 4.31 68.59 0.04
21 2.89* 4.06 5.45 4.94 2.79 79.83 0.04
22 4.95* 4.40 6.34 4.31 3.71 76.26 0.04
23 7.94* 5.76 7.18 3.97 3.80 71.31 0.05
24 3.73 4.39* 4.19 2.99 2.01 82.65 0.04
25 2.60 5.26 6.00* 3.70 1.57 80.83 0.04
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 A Results
Table of Item Difficulty for the 2010
Tabulation of responses by 31229 Student(s), Grade 11^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.68 4.83 90.24* 1.79 1.03 1.42 0.01
2 94.19* 2.57 0.33 1.17 0.36 1.37 0.01
3 7.95 18.43 3.10 8.22 45.52* 16.75 0.04
4 2.88 16.40 4.51 69.71* 3.75 2.71 0.04
5 5.61 6.91 31.36* 4.52 23.21 28.33 0.06
6 0.85 1.41 2.23 5.02 76.04* 14.40 0.04
7 24.89 17.28 22.46* 2.84 2.03 30.44 0.05
8 8.67 13.52 29.89* 7.48 8.17 32.22 0.05
9 53.17* 4.68 3.62 6.56 15.69 16.24 0.04
10 28.96* 3.97 7.28 3.25 3.31 53.19 0.04
11 2.04 10.37 27.64* 4.03 2.73 53.15 0.04
12 1.67 15.79 21.35 50.76* 1.83 8.48 0.13
13 15.28 9.56 11.13* 6.10 3.33 54.54 0.06
14 9.04 25.81* 5.15 4.28 1.43 54.26 0.03
15 3.09 5.91 4.39 8.81* 4.58 73.20 0.03
16 5.62 6.33* 10.06 8.90 3.90 65.14 0.04
17 6.46 5.98 4.43 4.07 6.54* 72.51 0.02
18 4.94 11.60 8.41 7.71* 3.00 64.30 0.04
19 6.48* 5.98 5.85 4.60 2.93 74.13 0.03
20 3.36 4.34 11.49* 7.80 4.16 68.81 0.04
21 2.69* 3.75 5.60 5.17 2.72 80.04 0.03
22 5.52* 4.57 6.36 4.46 3.78 75.28 0.03
23 8.88* 5.78 6.96 4.05 3.87 70.41 0.04
24 3.26 4.13* 3.99 3.14 1.95 83.51 0.03
25 2.54 6.11 6.18* 3.82 1.81 79.52 0.02
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 A Results
Table of Item Difficulty for the 2010
Tabulation of responses by 4258 Student(s), Grade 10^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.40 4.34 91.59* 1.57 0.87 1.22 0.00
2 94.74* 2.30 0.42 1.13 0.35 1.03 0.02
3 5.50 18.20 2.72 7.75 49.58* 16.23 0.02
4 3.08 15.66 4.13 71.23* 3.88 1.97 0.05
5 5.14 5.71 33.11* 4.39 23.20 28.35 0.09
6 0.73 1.46 1.55 3.99 78.58* 13.62 0.07
7 22.71 15.99 26.02* 2.42 1.83 31.02 0.00
8 7.56 12.78 33.07* 7.14 8.29 31.14 0.02
9 57.75* 4.46 3.05 5.94 15.78 12.99 0.02
10 32.01* 3.36 6.67 3.19 2.61 52.16 0.00
11 1.55 7.63 28.44* 3.59 2.54 56.22 0.02
12 1.48 15.62 20.34 54.46* 1.32 6.74 0.05
13 15.10 10.12 12.64* 5.33 2.49 54.25 0.07
14 8.41 26.05* 4.34 3.73 1.36 56.04 0.07
15 2.75 5.43 4.16 10.40* 3.99 73.23 0.05
16 4.51 6.15* 8.88 9.07 4.04 67.36 0.00
17 5.80 4.49 4.23 3.45 7.80* 74.21 0.02
18 4.93 10.50 7.26 8.34* 2.91 66.06 0.00
19 8.55* 4.65 4.23 3.99 2.98 75.58 0.02
20 3.26 3.36 11.53* 6.79 3.57 71.47 0.02
21 2.49* 3.24 4.91 4.20 2.96 82.15 0.05
22 5.52* 3.69 5.99 3.59 3.03 78.14 0.05
23 8.38* 4.84 6.18 3.55 3.80 73.23 0.02
24 2.58 3.92* 3.03 2.65 1.78 86.00 0.02
25 2.25 5.59 5.43* 3.24 1.43 82.06 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 A Results
Table of Item Difficulty for the 2010
Tabulation of responses by 1173 Student(s), Grade 9^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.02 4.01 89.86* 1.45 1.02 2.64 0.00
2 93.44* 2.73 0.34 1.45 0.26 1.79 0.00
3 5.20 17.22 3.15 5.80 46.97* 21.65 0.00
4 3.92 21.06 6.48 59.85* 3.84 4.86 0.00
5 5.80 7.59 31.20* 4.52 23.87 27.02 0.00
6 0.77 1.11 2.39 6.14 74.51* 15.09 0.00
7 22.08 16.28 22.93* 2.81 2.81 33.08 0.00
8 9.89 11.25 30.52* 5.20 7.25 35.89 0.00
9 54.82* 4.18 3.24 6.56 13.47 17.73 0.00
10 29.67* 1.96 7.33 2.47 2.56 56.01 0.00
11 2.13 6.65 23.19* 3.50 1.79 62.75 0.00
12 1.71 16.62 19.61 51.07* 2.05 8.95 0.00
13 13.21 7.59 12.87* 4.60 2.47 59.25 0.00
14 6.73 24.04* 4.35 2.56 1.11 61.21 0.00
15 2.56 4.94 4.26 9.38* 3.07 75.79 0.00
16 3.75 6.56* 10.06 7.84 3.41 68.37 0.00
17 5.37 4.01 4.09 2.05 7.76* 76.73 0.00
18 4.26 8.10 6.73 9.29* 2.05 69.57 0.00
19 9.46* 4.86 3.67 3.75 2.30 75.96 0.00
20 3.24 3.92 9.38* 5.80 2.30 75.36 0.00
21 2.98* 2.56 3.32 4.52 1.79 84.83 0.00
22 3.84* 3.75 3.92 3.50 2.05 82.95 0.00
23 7.76* 3.84 5.71 2.47 3.92 76.30 0.00
24 2.05 2.81* 2.98 1.88 2.13 88.15 0.00
25 2.05 4.86 5.54* 3.41 0.60 83.55 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 A Results
Table of Item Difficulty for the 2010
Tabulation of responses by 184 Student(s), Grades 8 and Below^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.09 4.35 91.30* 2.17 0.00 1.09 0.00
2 95.11* 2.17 0.00 1.09 0.00 1.63 0.00
3 2.72 10.87 3.26 2.72 73.37* 7.07 0.00
4 3.26 11.96 2.17 78.80* 1.63 2.17 0.00
5 6.52 8.70 44.57* 2.72 17.39 20.11 0.00
6 0.00 1.09 1.63 5.43 85.87* 5.43 0.54
7 17.93 10.33 42.93* 4.35 2.17 22.28 0.00
8 6.52 9.24 44.02* 3.80 7.61 28.80 0.00
9 65.76* 4.89 1.63 3.26 10.33 14.13 0.00
10 60.87* 4.35 4.35 2.17 2.17 26.09 0.00
11 2.17 7.07 34.78* 3.80 1.09 51.09 0.00
12 0.00 10.87 17.39 65.76* 0.54 5.43 0.00
13 19.57 11.96 18.48* 3.80 2.17 44.02 0.00
14 2.72 39.67* 6.52 1.63 1.63 47.83 0.00
15 2.17 3.80 3.26 24.46* 3.80 62.50 0.00
16 1.09 8.15* 11.41 8.15 4.89 66.30 0.00
17 4.89 5.43 1.63 2.17 15.22* 70.11 0.54
18 1.63 8.15 7.61 18.48* 4.35 59.78 0.00
19 22.28* 4.89 2.72 1.09 3.26 65.76 0.00
20 7.07 3.80 16.85* 7.07 3.80 61.41 0.00
21 6.52* 2.72 3.80 4.35 2.72 79.35 0.54
22 9.78* 5.43 5.43 0.54 4.35 74.46 0.00
23 6.52* 4.35 10.33 3.80 2.17 72.83 0.00
24 2.72 5.43* 3.26 4.35 1.63 82.61 0.00
25 1.09 4.89 4.35* 4.35 3.26 82.07 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 A Results
Table of Item Difficulty for the 2010
Tabulation of responses by 33296 Student(s), MALES
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.47 4.67 91.74* 1.38 0.79 0.94 0.02
2 94.62* 2.47 0.35 1.18 0.34 1.02 0.02
3 6.32 18.26 2.73 7.37 52.38* 12.88 0.05
4 2.29 12.44 3.42 76.98* 3.00 1.82 0.04
5 5.31 5.15 41.73* 4.16 24.46 19.13 0.06
6 0.65 1.29 1.73 3.98 82.05* 10.24 0.05
7 23.24 16.30 30.68* 2.37 1.53 25.83 0.04
8 7.32 13.59 31.44* 8.33 7.39 31.88 0.06
9 62.80* 4.30 3.26 5.45 12.30 11.85 0.04
10 37.10* 4.01 7.78 3.24 2.75 45.10 0.02
11 2.06 10.17 32.83* 4.18 2.80 47.92 0.04
12 1.51 15.55 19.73 54.34* 1.63 7.10 0.15
13 17.12 11.84 13.90* 6.00 3.09 47.98 0.07
14 7.91 26.26* 5.51 4.28 1.50 54.51 0.03
15 3.54 6.83 4.69 11.71* 4.61 68.58 0.04
16 5.72 7.10* 9.61 8.65 4.24 64.63 0.05
17 6.11 6.12 4.32 4.46 6.90* 72.05 0.04
18 4.71 11.16 9.26 9.95* 3.67 61.19 0.06
19 9.18* 6.78 6.22 4.50 3.13 70.15 0.04
20 4.11 4.80 13.27* 8.11 4.42 65.24 0.05
21 2.94* 4.14 5.69 5.39 2.87 78.94 0.04
22 5.67* 4.76 6.78 4.44 3.54 74.76 0.04
23 7.70* 5.85 7.77 4.08 4.03 70.52 0.05
24 3.34 4.75* 4.41 3.54 2.12 81.80 0.03
25 2.51 6.01 6.22* 3.96 1.74 79.52 0.04
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 A Results
Table of Item Difficulty for the 2010
Tabulation of responses by 23921 Student(s), Females
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.90 4.69 89.34* 1.92 1.34 1.81 0.01
2 94.24* 2.38 0.42 1.06 0.35 1.54 0.01
3 8.66 18.63 3.79 9.41 38.97* 20.53 0.02
4 3.44 17.95 5.05 66.22* 4.07 3.23 0.05
5 6.15 8.53 20.75* 4.75 20.55 39.23 0.04
6 1.12 1.71 2.71 5.95 69.48* 18.99 0.04
7 25.40 17.12 16.79* 3.16 2.51 34.97 0.05
8 9.01 13.41 27.41* 7.06 8.59 34.48 0.03
9 44.65* 5.49 3.91 7.54 18.62 19.76 0.03
10 21.92* 3.77 6.21 3.07 3.80 61.18 0.04
11 1.79 10.01 25.83* 3.66 2.37 56.31 0.02
12 1.86 15.40 21.07 48.71* 2.23 10.64 0.07
13 13.59 7.33 9.00* 5.80 3.46 60.78 0.04
14 9.72 24.41* 4.87 4.13 1.41 55.44 0.03
15 2.67 5.18 4.12 7.54* 3.92 76.56 0.01
16 4.63 5.52* 10.57 8.55 3.81 66.90 0.03
17 6.55 5.59 4.26 3.40 6.22* 73.97 0.02
18 5.02 10.96 7.48 5.90* 2.78 67.85 0.01
19 4.95* 5.21 4.89 4.39 2.69 77.85 0.02
20 2.63 3.63 9.50* 6.94 3.83 73.45 0.02
21 2.63* 3.38 5.18 4.66 2.64 81.48 0.03
22 4.97* 4.11 5.90 4.18 3.87 76.94 0.02
23 9.56* 5.53 6.17 3.85 3.65 71.20 0.03
24 3.56 3.54* 3.48 2.43 1.76 85.20 0.03
25 2.59 5.30 6.04* 3.57 1.61 80.88 0.01
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 A Results
Table of Item Difficulty for the 2010
Tabulation of responses by 9938 Student(s), Unknown Gender
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.71 5.71 89.42* 1.67 0.93 1.55 0.01
2 93.74* 2.96 0.31 1.05 0.40 1.52 0.02
3 7.47 17.42 3.20 7.92 47.37* 16.61 0.01
4 2.67 13.31 3.77 74.13* 3.63 2.46 0.03
5 5.61 5.74 32.07* 4.51 23.31 28.72 0.04
6 0.83 1.50 2.13 3.94 77.95* 13.61 0.03
7 22.72 16.39 24.65* 2.71 1.98 31.51 0.04
8 7.90 13.55 27.06* 7.84 7.42 36.22 0.01
9 55.13* 4.63 3.89 5.82 15.39 15.11 0.03
10 28.95* 3.78 7.33 3.44 3.45 53.00 0.05
11 2.04 9.98 29.93* 3.66 2.85 51.52 0.02
12 1.84 15.13 19.86 52.17* 1.85 9.12 0.02
13 15.58 10.03 11.30* 5.73 3.30 54.05 0.02
14 8.22 19.84* 5.07 4.71 1.59 60.54 0.03
15 2.92 5.74 4.33 8.94* 4.08 73.98 0.03
16 5.56 5.92* 9.21 7.59 3.12 68.59 0.02
17 6.05 4.91 4.43 3.52 5.13* 75.94 0.02
18 5.15 10.02 7.38 6.86* 2.81 67.74 0.04
19 6.74* 5.71 5.30 3.66 2.84 75.73 0.02
20 2.82 3.74 9.97* 7.37 3.98 72.08 0.04
21 2.54* 3.74 5.51 4.31 2.44 81.41 0.05
22 4.50* 3.78 5.36 4.19 3.55 78.58 0.04
23 8.81* 5.19 6.41 3.65 3.45 72.41 0.07
24 3.19 3.90* 3.93 2.84 1.87 84.22 0.04
25 2.65 5.50 5.29* 3.24 1.63 81.67 0.02
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 10 B Results
Table of Item Difficulty for the 2010
Tabulation of responses by 18231 Student(s), Grade 10^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.43 1.03 90.50* 0.25 6.46 1.33 0.01
2 5.46 5.21 82.61* 3.01 1.73 1.98 0.01
3 2.67 8.66 64.19* 14.20 2.38 7.91 0.00
4 1.27 5.48 73.86* 2.62 3.03 13.72 0.02
5 13.32 49.79* 13.15 12.21 2.95 8.56 0.02
6 2.42 68.02* 2.64 8.13 4.19 14.59 0.01
7 2.68 5.29 3.72 70.29* 4.38 13.62 0.01
8 3.21 5.52 9.77 31.43 40.68* 9.22 0.16
9 4.23 4.36 9.34 56.73* 8.74 16.58 0.02
10 5.11 4.56 58.67* 5.06 2.55 24.04 0.00
11 20.06* 5.83 7.44 4.72 5.59 56.34 0.02
12 12.40 15.33 8.78 39.69* 4.28 19.48 0.04
13 13.34 20.45 21.15* 4.46 1.88 38.70 0.01
14 4.82 28.77* 10.54 5.87 8.68 41.33 0.01
15 12.80 4.08 66.07* 5.07 2.99 8.94 0.04
16 50.40 13.42* 2.00 1.06 2.16 30.96 0.01
17 13.19 29.94* 18.22 4.67 4.20 29.70 0.09
18 12.24 5.07 5.85 5.36 6.80* 64.66 0.01
19 7.15 12.71* 8.30 6.91 4.61 60.30 0.01
20 3.72 5.31 8.42 8.23* 1.97 72.33 0.02
21 8.67 10.64 19.18 3.64 6.71* 51.15 0.02
22 3.56 5.47 13.93* 4.90 3.71 68.42 0.01
23 10.23 9.69 11.00 5.50* 2.55 61.03 0.01
24 3.26 5.29 8.12 5.52 4.46* 73.33 0.01
25 4.81 5.57* 3.58 7.00 4.94 74.09 0.01
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 10 B Results
Table of Item Difficulty for the 2010
Tabulation of responses by 12880 Student(s), Grade 9^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.45 1.16 88.76* 0.41 7.32 1.89 0.00
2 6.47 5.47 79.42* 3.56 2.06 3.03 0.00
3 2.49 8.39 62.52* 16.51 2.45 7.61 0.03
4 1.61 7.64 63.31* 4.29 2.55 20.57 0.03
5 13.81 48.13* 13.56 11.97 3.35 9.15 0.02
6 2.80 58.70* 3.49 10.17 4.30 20.52 0.02
7 3.03 5.17 4.37 62.41* 6.44 18.56 0.03
8 3.65 5.85 11.20 30.31 38.62* 10.36 0.01
9 4.99 4.25 9.60 48.53* 12.01 20.58 0.02
10 6.54 5.35 50.22* 5.60 3.37 28.91 0.02
11 17.33* 6.27 6.52 4.51 5.88 59.45 0.05
12 14.39 16.29 9.16 34.01* 4.70 21.44 0.01
13 12.00 21.12 13.84* 4.91 1.82 46.32 0.01
14 4.88 21.63* 12.00 5.54 8.94 46.99 0.03
15 16.05 4.74 59.87* 5.59 3.53 10.20 0.02
16 45.27 8.31* 2.04 1.48 2.24 40.64 0.03
17 14.36 24.66* 16.93 4.84 3.97 35.16 0.09
18 14.15 4.94 4.96 4.57 5.56* 65.82 0.01
19 6.36 8.80* 7.57 5.96 3.10 68.21 0.01
20 3.80 4.64 7.24 5.36* 1.65 77.31 0.02
21 9.91 9.20 16.96 2.77 6.75* 54.37 0.04
22 3.88 5.30 12.47* 4.83 3.91 69.60 0.02
23 10.75 8.73 10.39 4.50* 2.67 62.93 0.04
24 3.80 4.84 7.08 5.56 3.96* 74.73 0.02
25 4.64 5.05* 2.78 6.14 5.02 76.32 0.05
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 10 B Results
Table of Item Difficulty for the 2010
Tabulation of responses by 3124 Student(s), Grades 8 and Below^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.48 1.38 91.20* 0.32 5.09 1.54 0.00
2 2.94 2.43 90.40* 1.92 0.83 1.44 0.03
3 2.40 9.60 72.47* 8.67 2.02 4.83 0.00
4 0.90 3.36 83.35* 3.39 1.60 7.39 0.00
5 13.83 51.22* 12.64 13.70 3.04 5.51 0.06
6 2.72 72.31* 2.85 5.28 4.55 12.26 0.03
7 2.14 3.78 2.91 76.15* 4.74 10.24 0.03
8 1.34 2.98 6.18 24.55 58.26* 6.59 0.10
9 4.10 5.25 7.84 60.92* 7.71 14.15 0.03
10 3.10 2.82 73.24* 3.55 2.82 14.47 0.00
11 27.43* 7.01 7.11 5.06 7.04 46.32 0.03
12 12.52 11.62 7.97 51.57* 3.49 12.80 0.03
13 16.04 14.85 30.73* 4.35 1.82 32.11 0.10
14 4.26 48.40* 9.57 5.44 7.94 24.39 0.00
15 7.68 3.62 75.06* 4.58 2.91 6.15 0.00
16 48.53 14.88* 2.66 1.54 2.53 29.83 0.03
17 11.36 42.22* 16.68 3.84 3.27 22.60 0.03
18 15.59 5.54 5.03 6.59 10.82* 56.40 0.03
19 7.27 15.81* 8.35 7.52 3.97 57.04 0.03
20 4.74 5.70 9.54 10.60* 2.62 66.81 0.00
21 10.15 10.50 14.31 4.00 18.95* 42.09 0.00
22 5.15 6.21 21.93* 4.51 3.65 58.55 0.00
23 8.83 10.92 10.95 6.18* 3.55 59.57 0.00
24 3.39 5.67 7.78 6.82 8.55* 67.73 0.06
25 5.31 6.47* 3.68 6.43 5.35 72.76 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 10 B Results
Table of Item Difficulty for the 2010
Tabulation of responses by 16796 Student(s), MALES
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.28 0.77 92.20* 0.26 5.37 1.12 0.00
2 4.55 4.18 85.23* 2.85 1.61 1.57 0.01
3 2.19 7.29 69.89* 12.51 2.31 5.79 0.02
4 1.19 5.08 75.70* 2.91 2.51 12.60 0.01
5 13.31 51.41* 12.74 11.78 2.89 7.85 0.02
6 2.70 68.75* 2.81 7.81 3.92 13.99 0.02
7 2.40 5.02 3.95 70.31* 4.77 13.54 0.01
8 3.20 4.40 8.45 29.38 46.59* 7.85 0.13
9 4.42 4.29 9.79 56.41* 9.16 15.90 0.02
10 5.01 4.58 62.69* 5.57 2.79 19.34 0.01
11 24.24* 6.40 7.05 4.94 6.57 50.77 0.03
12 11.77 13.60 9.17 44.45* 4.41 16.56 0.04
13 13.84 19.97 22.42* 4.64 1.89 37.22 0.02
14 5.18 31.99* 11.06 6.13 9.50 36.12 0.02
15 8.64 3.75 72.71* 5.55 2.62 6.70 0.03
16 48.20 14.30* 2.29 1.27 2.29 31.64 0.02
17 12.20 33.32* 18.21 4.72 3.64 27.79 0.11
18 13.81 5.45 6.14 5.91 8.36* 60.32 0.01
19 6.88 13.56* 7.88 7.19 4.24 60.23 0.02
20 4.07 5.58 9.16 9.12* 2.09 69.94 0.04
21 8.87 10.66 19.28 3.55 9.54* 48.06 0.05
22 3.92 5.63 15.87* 5.03 3.62 65.92 0.02
23 9.60 10.32 11.13 5.67* 2.78 60.47 0.03
24 3.32 5.76 8.59 6.44 5.58* 70.27 0.04
25 4.82 5.83* 3.95 6.94 5.22 73.21 0.04
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 10 B Results
Table of Item Difficulty for the 2010
Tabulation of responses by 13402 Student(s), Females
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.65 1.47 87.55* 0.37 7.81 2.14 0.01
2 7.18 6.22 77.83* 3.49 2.01 3.25 0.01
3 3.08 10.43 56.50* 17.55 2.57 9.86 0.01
4 1.63 7.69 63.80* 3.74 3.10 20.00 0.03
5 13.56 46.60* 13.89 12.94 3.52 9.48 0.02
6 2.42 60.13* 3.22 10.00 4.63 19.59 0.01
7 3.52 5.58 3.86 64.07* 5.78 17.16 0.03
8 3.25 6.90 12.04 31.23 34.57* 11.92 0.09
9 4.78 4.43 8.69 50.06* 11.42 20.59 0.02
10 6.27 4.91 49.02* 4.62 2.98 32.20 0.00
11 13.58* 5.81 7.39 4.19 4.75 64.25 0.03
12 14.48 18.10 8.76 30.85* 4.34 23.44 0.01
13 11.60 21.00 16.56* 4.51 1.84 44.47 0.01
14 4.28 23.06* 11.04 4.98 7.79 48.84 0.01
15 20.35 5.01 53.44* 4.78 3.92 12.46 0.03
16 46.60 9.61* 1.87 1.32 2.19 38.38 0.02
17 14.95 23.78* 16.85 4.76 4.46 35.14 0.06
18 12.15 4.72 4.84 4.22 4.61* 69.44 0.01
19 6.79 9.39* 8.35 6.26 3.95 65.26 0.01
20 3.53 4.48 6.92 5.90* 1.76 77.40 0.00
21 9.95 9.45 16.83 3.04 5.72* 54.98 0.01
22 3.71 5.22 12.45* 4.60 4.00 70.03 0.00
23 10.92 8.51 10.46 4.69* 2.57 62.85 0.01
24 3.66 4.57 6.75 4.86 3.63* 76.53 0.01
25 4.92 5.14* 2.64 6.47 5.03 75.79 0.01
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 10 B Results
Table of Item Difficulty for the 2010
Tabulation of responses by 7893 Student(s), Unknown Gender
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.57 1.20 88.48* 0.34 7.31 2.08 0.01
2 4.89 4.69 83.06* 2.90 1.52 2.94 0.00
3 2.75 8.39 64.68* 13.58 2.26 8.35 0.00
4 1.43 5.49 71.65* 3.32 4.03 14.08 0.01
5 14.03 48.94* 13.32 12.06 2.89 8.72 0.05
6 2.53 66.34* 2.99 7.72 4.29 16.13 0.00
7 2.70 5.35 4.03 68.24* 4.70 14.96 0.03
8 3.14 4.87 9.29 30.67 41.91* 10.05 0.08
9 4.41 4.75 9.26 54.50* 8.62 18.45 0.01
10 4.79 4.28 60.66* 4.68 2.67 22.91 0.01
11 20.92* 6.31 7.53 4.93 5.73 54.57 0.03
12 12.62 14.87 8.56 40.97* 4.04 18.89 0.04
13 13.66 19.42 21.35* 5.06 1.69 38.81 0.03
14 4.56 30.61* 10.55 6.46 9.05 38.74 0.03
15 12.23 4.16 66.38* 5.11 3.27 8.79 0.08
16 48.99 13.05* 2.12 1.30 2.13 32.41 0.00
17 13.05 30.51* 17.28 4.50 3.83 30.79 0.05
18 13.57 4.79 5.63 5.71 7.58* 62.70 0.03
19 6.85 13.06* 8.60 6.17 4.28 61.02 0.01
20 3.81 5.59 8.92 7.77* 2.05 71.86 0.00
21 8.74 9.58 18.98 3.69 7.55* 51.45 0.01
22 3.95 5.70 14.46* 5.41 3.56 66.92 0.00
23 9.65 9.54 11.42 5.42* 2.77 61.13 0.06
24 3.50 5.21 8.21 5.55 4.79* 72.71 0.04
25 4.45 5.70* 3.48 6.94 4.71 74.71 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 B Results
Table of Item Difficulty for the 2010
Tabulation of responses by 99 Student(s), Grade 13^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 2.02 3.03 87.88* 3.03 2.02 2.02 0.00
2 88.89* 4.04 5.05 1.01 1.01 0.00 0.00
3 1.01 3.03 5.05 35.35 50.51* 5.05 0.00
4 13.13 56.57* 16.16 9.09 3.03 2.02 0.00
5 3.03 2.02 10.10 79.80* 3.03 2.02 0.00
6 10.10 4.04 5.05 65.66* 6.06 9.09 0.00
7 2.02 2.02 82.83* 9.09 0.00 4.04 0.00
8 15.15 48.48* 18.18 4.04 2.02 12.12 0.00
9 9.09 10.10 12.12 6.06 13.13* 49.49 0.00
10 6.06 46.46* 11.11 7.07 9.09 20.20 0.00
11 7.07 15.15 18.18 4.04 10.10* 45.45 0.00
12 4.04 2.02 10.10 44.44* 4.04 35.35 0.00
13 1.01 1.01 18.18* 4.04 10.10 65.66 0.00
14 6.06 13.13* 7.07 3.03 36.36 34.34 0.00
15 4.04 4.04 6.06 6.06* 1.01 78.79 0.00
16 11.11 4.04 9.09 4.04 10.10* 61.62 0.00
17 13.13 13.13 12.12 10.10* 4.04 47.47 0.00
18 8.08 3.03 18.18* 12.12 13.13 45.45 0.00
19 2.02 5.05 7.07 4.04 5.05* 76.77 0.00
20 4.04 9.09 6.06 4.04 2.02* 74.75 0.00
21 1.01 2.02* 4.04 6.06 6.06 80.81 0.00
22 2.02 3.03 4.04 2.02* 2.02 86.87 0.00
23 3.03* 3.03 4.04 4.04 3.03 82.83 0.00
24 6.06 3.03 6.06* 2.02 1.01 81.82 0.00
25 1.01 3.03 5.05 3.03* 2.02 85.86 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 B Results
Table of Item Difficulty for the 2010
Tabulation of responses by 14223 Student(s), Grade 12^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 4.48 4.35 85.58* 2.97 1.74 0.88 0.00
2 88.41* 2.52 7.83 0.44 0.37 0.42 0.01
3 3.16 4.49 10.62 32.36 44.74* 4.58 0.04
4 12.10 58.86* 12.13 9.89 2.41 4.60 0.01
5 2.59 2.90 9.48 70.55* 6.59 7.88 0.00
6 10.74 11.79 8.66 54.16* 4.75 9.89 0.01
7 3.95 4.23 72.22* 5.13 2.05 12.40 0.02
8 13.56 44.36* 16.93 4.76 3.19 17.17 0.03
9 11.41 19.48 7.06 7.07 15.71* 39.25 0.02
10 6.66 36.81* 10.48 6.46 10.07 29.49 0.02
11 10.43 12.85 16.78 3.80 12.68* 43.43 0.04
12 4.77 6.93 6.69 37.97* 3.69 39.93 0.01
13 2.14 2.85 16.87* 8.30 8.44 61.40 0.01
14 6.45 10.00* 6.66 4.21 28.97 43.69 0.01
15 3.99 4.75 4.93 5.55* 1.97 78.81 0.01
16 11.14 4.91 4.96 5.69 8.60* 64.68 0.01
17 11.41 12.23 11.46 7.20* 3.30 54.38 0.02
18 13.31 4.64 15.21* 17.35 10.66 38.78 0.04
19 3.63 6.14 7.76 6.04 7.42* 68.97 0.02
20 4.45 9.57 5.25 4.21 4.19* 72.31 0.02
21 4.06 4.81* 3.22 5.72 3.73 78.45 0.00
22 2.63 3.88 5.06 4.51* 2.54 81.39 0.00
23 2.10* 6.88 5.13 4.49 2.71 78.67 0.01
24 3.38 4.56 5.74* 2.55 1.74 82.02 0.01
25 2.46 3.61 4.46 4.06* 2.55 82.87 0.01
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 B Results
Table of Item Difficulty for the 2010
Tabulation of responses by 18927 Student(s), Grade 11^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 4.71 5.09 84.51* 2.88 1.72 1.08 0.01
2 87.26* 2.27 9.25 0.47 0.31 0.43 0.01
3 3.05 4.62 9.97 31.44 45.51* 5.30 0.11
4 12.70 56.75* 12.86 10.34 2.56 4.78 0.01
5 3.22 3.34 9.29 68.60* 7.19 8.34 0.02
6 12.22 13.33 9.07 50.80* 4.81 9.76 0.02
7 4.64 4.44 70.22* 4.97 2.11 13.60 0.01
8 14.40 42.52* 16.65 4.65 3.66 18.06 0.07
9 11.84 21.74 6.78 7.02 15.96* 36.62 0.04
10 5.94 35.59* 11.22 6.86 9.81 30.56 0.02
11 11.11 12.57 18.49 3.99 12.27* 41.54 0.03
12 4.67 6.65 6.68 38.60* 3.60 39.79 0.01
13 1.88 3.00 18.53* 8.73 9.17 58.69 0.00
14 6.58 10.13* 6.33 4.45 29.39 43.10 0.02
15 3.95 5.02 5.55 5.76* 2.12 77.57 0.03
16 11.03 5.67 5.50 6.04 8.55* 63.18 0.03
17 11.71 12.71 12.41 7.10* 3.41 52.63 0.04
18 13.92 5.05 14.79* 19.08 10.68 36.45 0.04
19 4.06 6.63 8.76 6.27 7.87* 66.40 0.02
20 4.64 10.35 5.80 4.47 4.15* 70.58 0.01
21 4.13 5.33* 3.39 6.09 4.31 76.75 0.02
22 2.81 4.31 5.25 5.06* 2.52 80.03 0.03
23 1.95* 7.97 5.45 4.89 2.93 76.80 0.01
24 3.41 5.37 5.81* 3.13 1.81 80.46 0.01
25 2.57 3.86 4.69 4.26* 2.63 81.97 0.02
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 B Results
Table of Item Difficulty for the 2010
Tabulation of responses by 3210 Student(s), Grade 10^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 3.83 3.68 87.98* 2.40 1.46 0.65 0.00
2 90.40* 1.87 6.85 0.44 0.16 0.25 0.03
3 2.71 3.64 7.98 28.94 52.65* 3.89 0.19
4 11.71 59.72* 11.68 10.93 2.21 3.74 0.00
5 2.40 3.30 8.54 73.18* 5.73 6.85 0.00
6 11.53 10.65 8.13 58.26* 3.99 7.41 0.03
7 3.89 3.89 75.26* 4.36 2.12 10.47 0.00
8 13.40 49.53* 15.05 3.89 2.96 15.17 0.00
9 10.59 18.29 7.13 9.22 23.58* 31.18 0.00
10 5.14 43.30* 10.28 6.07 10.12 25.08 0.00
11 11.40 11.87 16.26 4.14 18.07* 38.26 0.00
12 3.43 4.74 7.01 46.29* 3.80 34.74 0.00
13 1.81 3.12 21.71* 7.10 9.41 56.85 0.00
14 5.39 11.87* 7.26 3.83 33.15 38.44 0.06
15 4.05 5.17 5.42 6.88* 2.55 75.89 0.03
16 10.87 4.67 5.64 6.26 11.00* 61.56 0.00
17 9.53 11.78 12.09 8.57* 3.33 54.70 0.00
18 12.12 4.83 14.70* 17.45 10.53 40.34 0.03
19 3.93 5.95 8.07 5.73 10.00* 66.29 0.03
20 3.64 8.69 5.39 4.05 4.89* 73.33 0.00
21 3.12 4.33* 3.15 5.42 4.55 79.35 0.09
22 2.09 3.71 4.77 5.14* 2.15 82.15 0.00
23 1.74* 7.45 4.64 3.99 1.81 80.31 0.06
24 2.90 4.49 6.01* 2.68 1.59 82.27 0.06
25 2.18 4.08 4.74 4.17* 2.12 82.68 0.03
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 B Results
Table of Item Difficulty for the 2010
Tabulation of responses by 1072 Student(s), Grade 9^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 3.92 2.33 89.74* 2.05 1.12 0.84 0.00
2 90.30* 2.43 6.72 0.19 0.28 0.00 0.09
3 2.05 3.17 7.93 29.10 54.01* 3.73 0.00
4 12.22 61.38* 11.57 10.54 1.87 2.43 0.00
5 2.61 3.26 6.72 75.19* 5.78 6.44 0.00
6 11.29 10.82 7.37 59.05* 4.01 7.46 0.00
7 3.26 3.64 75.09* 4.57 2.33 11.10 0.00
8 13.62 51.21* 12.69 4.48 2.80 15.21 0.00
9 9.51 18.47 7.00 7.65 28.82* 28.54 0.00
10 3.45 49.25* 9.51 7.18 6.72 23.88 0.00
11 12.69 9.61 12.69 3.73 25.84* 35.45 0.00
12 2.80 4.57 5.32 43.84* 2.43 40.95 0.09
13 1.77 2.61 18.66* 6.72 9.61 60.63 0.00
14 6.62 13.15* 6.44 3.64 34.14 35.82 0.19
15 4.94 5.69 5.78 7.65* 2.43 73.51 0.00
16 10.35 5.41 5.69 7.65 12.50* 58.40 0.00
17 8.40 12.78 12.50 7.18* 2.89 56.25 0.00
18 12.97 4.38 16.60* 14.74 10.07 41.23 0.00
19 3.73 5.69 6.90 5.22 12.13* 66.23 0.09
20 3.08 6.81 4.38 5.04 5.50* 75.19 0.00
21 2.99 4.57* 3.54 5.41 4.29 79.10 0.09
22 3.26 3.54 5.22 4.10* 1.96 81.90 0.00
23 2.43* 4.66 4.57 4.10 2.24 82.00 0.00
24 2.80 5.41 6.25* 2.05 2.05 81.44 0.00
25 3.17 2.61 4.76 3.92* 2.61 82.93 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 B Results
Table of Item Difficulty for the 2010
Tabulation of responses by 392 Student(s), Grades 8 and Below^
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 2.04 2.30 93.62* 1.02 1.02 0.00 0.00
2 93.62* 1.53 4.34 0.26 0.00 0.26 0.00
3 0.51 1.53 3.83 21.68 70.66* 1.79 0.00
4 11.73 65.05* 8.16 10.46 1.28 3.32 0.00
5 2.30 3.06 6.63 75.26* 5.10 7.65 0.00
6 11.99 8.42 6.38 63.52* 3.57 6.12 0.00
7 2.81 3.06 80.87* 3.32 2.30 7.65 0.00
8 9.69 57.14* 9.95 7.14 2.30 13.78 0.00
9 7.14 9.69 6.12 5.61 42.86* 28.32 0.26
10 2.30 57.14* 10.20 4.59 7.65 18.11 0.00
11 10.71 11.73 12.76 3.06 29.59* 32.14 0.00
12 4.59 2.30 3.57 49.49* 2.81 37.24 0.00
13 2.55 1.79 23.47* 6.89 9.18 56.12 0.00
14 9.18 16.58* 4.85 2.81 33.93 32.65 0.00
15 6.89 5.61 6.38 8.67* 2.04 70.41 0.00
16 10.46 4.08 5.61 6.12 19.64* 54.08 0.00
17 8.93 16.58 8.42 12.50* 4.59 48.98 0.00
18 11.99 4.34 14.03* 14.80 7.40 47.45 0.00
19 3.06 6.63 5.36 5.87 17.60* 61.48 0.00
20 2.04 5.61 6.12 3.57 4.85* 77.81 0.00
21 4.59 4.59* 2.30 4.85 3.32 80.36 0.00
22 2.30 3.06 3.83 5.61* 3.06 82.14 0.00
23 1.79* 5.36 3.57 2.30 2.55 84.44 0.00
24 2.81 4.34 5.61* 2.04 1.79 83.42 0.00
25 3.32 2.55 3.83 4.34* 3.83 82.14 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 B Results
Table of Item Difficulty for the 2010
Tabulation of responses by 20428 Student(s), MALES
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 3.71 3.39 88.28* 2.58 1.41 0.64 0.00
2 89.68* 2.54 6.96 0.30 0.18 0.33 0.01
3 2.74 4.06 8.39 29.61 51.35* 3.74 0.13
4 11.98 59.94* 11.95 9.62 2.31 4.19 0.01
5 2.59 3.08 9.42 71.79* 6.42 6.71 0.00
6 10.01 10.49 8.60 59.29* 4.46 7.13 0.02
7 3.67 4.08 75.97* 5.14 1.84 9.28 0.01
8 12.27 49.30* 16.54 4.45 2.82 14.56 0.05
9 11.15 19.98 7.13 7.77 20.96* 32.99 0.02
10 6.42 42.47* 10.34 6.77 10.03 23.94 0.02
11 10.97 12.48 18.43 4.15 15.90* 38.05 0.03
12 4.37 6.24 7.09 44.86* 3.79 33.64 0.01
13 2.15 3.02 21.49* 8.27 9.37 55.70 0.00
14 6.84 12.38* 6.50 4.18 33.50 36.57 0.03
15 4.69 5.73 5.87 6.93* 2.35 74.40 0.03
16 11.88 5.34 5.76 6.70 11.22* 59.09 0.02
17 10.52 13.16 12.23 8.37* 3.42 52.27 0.03
18 14.09 5.11 16.58* 16.45 10.48 37.25 0.04
19 3.80 6.81 8.52 6.57 10.04* 64.22 0.04
20 4.43 9.85 6.16 4.58 4.99* 69.97 0.01
21 4.01 5.23* 3.78 6.15 4.04 76.74 0.03
22 2.76 3.98 5.38 5.21* 2.76 79.90 0.01
23 2.44* 7.13 5.67 4.40 2.80 77.53 0.02
24 3.60 5.31 6.40* 3.23 1.82 79.63 0.02
25 2.59 4.16 5.16 4.71* 2.79 80.57 0.02
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 B Results
Table of Item Difficulty for the 2010
Tabulation of responses by 13367 Student(s), Females
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 6.04 6.55 80.54* 3.22 2.16 1.48 0.00
2 84.96* 2.13 11.10 0.67 0.56 0.56 0.01
3 3.55 5.48 12.39 33.74 37.94* 6.83 0.07
4 12.93 54.35* 13.30 11.27 2.83 5.33 0.00
5 3.43 3.39 8.89 66.36* 7.68 10.22 0.03
6 13.93 16.09 9.04 42.42* 4.97 13.52 0.02
7 5.39 4.77 63.90* 4.71 2.52 18.71 0.01
8 17.02 35.12* 16.72 5.03 4.23 21.83 0.04
9 12.11 21.96 6.73 6.33 10.39* 42.44 0.03
10 5.47 28.28* 11.79 6.45 9.58 38.44 0.00
11 11.05 12.70 16.65 3.59 9.22* 46.75 0.03
12 4.97 6.97 5.91 29.61* 3.22 49.30 0.02
13 1.74 2.79 13.68* 8.63 8.33 64.84 0.00
14 5.84 7.14* 6.59 4.43 23.56 52.43 0.01
15 3.00 3.96 4.82 4.59* 1.73 81.90 0.01
16 10.06 5.20 4.85 5.15 5.48* 69.25 0.01
17 12.80 11.57 12.10 5.79* 3.11 54.60 0.03
18 12.82 4.59 12.61* 21.19 10.85 37.90 0.04
19 4.07 5.95 8.18 5.47 5.09* 71.23 0.00
20 4.47 9.96 4.84 4.28 3.26* 73.17 0.01
21 4.11 4.67* 2.84 5.66 4.41 78.31 0.01
22 2.69 4.31 4.72 4.49* 2.11 81.67 0.01
23 1.41* 8.33 4.78 5.13 2.81 77.53 0.01
24 2.96 4.74 5.39* 2.51 1.73 82.66 0.01
25 2.47 3.28 3.96 3.58* 2.39 84.32 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
American Mathematics Competitions
Analysis
2010 AMC 12 B Results
Table of Item Difficulty for the 2010
Tabulation of responses by 6955 Student(s), Unknown Gender
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 3.70 3.68 86.76* 2.52 1.50 1.85 0.00
2 89.43* 1.90 6.93 0.42 0.19 1.12 0.01
3 2.62 3.35 9.00 31.36 48.07* 5.45 0.16
4 11.75 58.58* 12.35 10.19 2.03 5.08 0.03
5 2.73 3.26 9.30 70.29* 5.79 8.60 0.01
6 10.80 10.15 8.60 56.84* 4.36 9.22 0.04
7 3.48 3.77 75.34* 4.47 1.78 11.13 0.03
8 11.59 48.80* 14.97 4.28 3.55 16.74 0.07
9 10.08 20.65 6.93 7.16 19.54* 35.57 0.07
10 5.61 42.50* 9.79 6.33 9.53 26.21 0.03
11 9.85 11.80 18.84 4.05 14.45* 40.98 0.03
12 4.21 6.00 6.83 45.54* 4.03 33.39 0.01
13 1.96 2.75 21.18* 7.89 9.26 56.95 0.01
14 6.96 12.25* 6.17 3.88 30.63 40.10 0.01
15 4.16 4.67 5.42 6.47* 2.14 77.14 0.00
16 10.22 5.52 5.33 6.05 11.30* 61.54 0.03
17 9.92 12.72 11.43 8.08* 3.81 54.00 0.03
18 12.80 4.40 15.60* 17.25 10.58 39.34 0.03
19 3.78 6.00 7.94 6.28 10.01* 65.97 0.03
20 4.24 8.87 5.74 4.23 5.58* 71.30 0.04
21 3.81 5.52* 2.95 6.28 4.03 77.38 0.03
22 2.76 3.77 5.56 5.08* 2.65 80.16 0.03
23 2.29* 7.02 5.33 4.26 2.53 78.55 0.03
24 3.95 5.28 5.58* 2.72 1.77 80.69 0.01
25 2.40 3.80 4.95 4.49* 2.75 81.62 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not
included in this analysis.
