AMC 12A Item Difficulty - Grade 13^, 105 Students
|
ITEM
|
A
|
|
B
|
|
C
|
|
D
|
|
E
|
|
OMITS
|
?
|
1
|
0.29
|
|
0.00
|
|
3.62
|
|
0.29
|
|
5.81
|
*
|
0.00
|
0
|
2
|
0.29
|
|
0.29
|
|
8.86
|
*
|
0.00
|
|
0.38
|
|
0.19
|
0
|
3
|
0.29
|
|
4.48
|
*
|
1.43
|
|
0.19
|
|
0.38
|
|
3.24
|
0
|
4
|
0.00
|
|
0.00
|
|
0.38
|
|
0.29
|
|
8.10
|
*
|
1.24
|
0
|
5
|
0.86
|
|
7.14
|
*
|
0.00
|
|
0.76
|
|
0.19
|
|
1.05
|
0
|
6
|
5.24
|
*
|
0.29
|
|
1.62
|
|
0.00
|
|
0.67
|
|
2.19
|
0
|
7
|
1.14
|
|
3.62
|
*
|
1.24
|
|
1.62
|
|
0.29
|
|
2.10
|
0
|
8
|
0.57
|
|
5.05
|
*
|
0.19
|
|
0.38
|
|
0.29
|
|
3.52
|
0
|
9
|
0.19
|
|
1.14
|
|
5.24
|
*
|
0.57
|
|
0.67
|
|
2.19
|
0
|
10
|
0.19
|
|
0.38
|
|
6.19
|
*
|
0.38
|
|
0.10
|
|
2.76
|
0
|
11
|
2.95
|
*
|
0.19
|
|
0.19
|
|
0.57
|
|
0.29
|
|
5.81
|
0
|
12
|
0.10
|
|
4.19
|
*
|
0.57
|
|
0.10
|
|
0.57
|
|
4.48
|
0
|
13
|
0.57
|
|
3.62
|
*
|
0.38
|
|
0.19
|
|
1.14
|
|
4.10
|
0
|
14
|
1.81
|
*
|
0.00
|
|
0.76
|
|
1.24
|
|
0.10
|
|
6.10
|
0
|
15
|
0.48
|
|
1.05
|
|
1.43
|
*
|
0.95
|
|
0.38
|
|
5.71
|
0
|
16
|
1.52
|
|
1.33
|
*
|
0.10
|
|
0.38
|
|
0.57
|
|
6.10
|
0
|
17
|
0.38
|
|
0.38
|
|
1.62
|
|
2.67
|
*
|
0.19
|
|
4.76
|
0
|
18
|
0.38
|
|
0.19
|
|
0.48
|
|
1.33
|
*
|
0.48
|
|
7.14
|
0
|
19
|
0.10
|
|
0.57
|
|
0.10
|
|
0.38
|
*
|
0.38
|
|
8.48
|
0
|
20
|
0.86
|
|
0.48
|
|
1.05
|
|
0.29
|
|
0.76
|
*
|
6.57
|
0
|
21
|
0.10
|
|
0.10
|
|
0.38
|
|
1.24
|
*
|
0.29
|
|
7.90
|
0
|
22
|
0.19
|
|
0.48
|
*
|
0.10
|
|
0.38
|
|
0.29
|
|
8.57
|
0
|
23
|
0.10
|
|
0.10
|
|
0.10
|
|
0.48
|
|
0.95
|
*
|
8.29
|
0
|
24
|
0.19
|
|
0.10
|
|
0.10
|
*
|
0.29
|
|
0.29
|
|
9.05
|
0
|
25
|
0.38
|
|
0.10
|
|
0.10
|
|
0.29
|
|
0.19
|
*
|
8.95
|
0
|
(*) 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. |
|
AMC 12A Item Difficulty - Grade 12^, 42,597 Students
|
ITEM
|
A
|
|
B
|
|
C
|
|
D
|
|
E
|
|
OMITS
|
?
|
1
|
0.07
|
|
0.12
|
|
4.01
|
|
0.28
|
|
5.44
|
*
|
0.08
|
0
|
2
|
0.16
|
|
0.23
|
|
9.03
|
*
|
0.09
|
|
0.46
|
|
0.04
|
0
|
3
|
0.37
|
|
3.91
|
*
|
2.03
|
|
0.47
|
|
0.56
|
|
2.66
|
0
|
4
|
0.10
|
|
0.05
|
|
0.39
|
|
0.28
|
|
8.52
|
*
|
0.65
|
0
|
5
|
1.17
|
|
6.68
|
*
|
0.05
|
|
0.72
|
|
0.19
|
|
1.20
|
0
|
6
|
4.84
|
*
|
0.36
|
|
2.13
|
|
0.12
|
|
0.75
|
|
1.80
|
0
|
7
|
1.06
|
|
3.45
|
*
|
1.52
|
|
1.58
|
|
0.74
|
|
1.64
|
0
|
8
|
1.14
|
|
4.96
|
*
|
0.25
|
|
0.39
|
|
0.16
|
|
3.10
|
0
|
9
|
0.30
|
|
1.12
|
|
4.56
|
*
|
0.44
|
|
0.64
|
|
2.95
|
0
|
10
|
0.12
|
|
0.33
|
|
6.61
|
*
|
0.51
|
|
0.07
|
|
2.36
|
0
|
11
|
2.34
|
*
|
0.53
|
|
0.54
|
|
0.45
|
|
0.28
|
|
5.87
|
0
|
12
|
0.37
|
|
3.65
|
*
|
0.58
|
|
0.17
|
|
0.28
|
|
4.95
|
0
|
13
|
0.72
|
|
3.20
|
*
|
0.44
|
|
0.33
|
|
0.64
|
|
4.67
|
0
|
14
|
1.04
|
*
|
0.19
|
|
0.77
|
|
1.21
|
|
0.24
|
|
6.55
|
0
|
15
|
0.88
|
|
1.26
|
|
1.65
|
*
|
0.65
|
|
0.58
|
|
4.99
|
0
|
16
|
1.07
|
|
0.40
|
*
|
0.15
|
|
0.13
|
|
0.81
|
|
7.43
|
0
|
17
|
0.60
|
|
0.54
|
|
1.95
|
|
1.73
|
*
|
0.14
|
|
5.04
|
0
|
18
|
0.46
|
|
0.33
|
|
0.62
|
|
1.20
|
*
|
0.37
|
|
7.01
|
0
|
19
|
0.24
|
|
0.50
|
|
0.27
|
|
0.27
|
*
|
0.37
|
|
8.35
|
0
|
20
|
0.91
|
|
0.61
|
|
1.04
|
|
0.47
|
|
0.67
|
*
|
6.30
|
0
|
21
|
0.11
|
|
0.20
|
|
0.22
|
|
0.39
|
*
|
0.15
|
|
8.93
|
0
|
22
|
0.14
|
|
0.30
|
*
|
0.13
|
|
0.14
|
|
0.50
|
|
8.79
|
0
|
23
|
0.25
|
|
0.23
|
|
0.21
|
|
0.22
|
|
0.33
|
*
|
8.76
|
0
|
24
|
0.17
|
|
0.16
|
|
0.15
|
*
|
0.13
|
|
0.14
|
|
9.25
|
0
|
25
|
0.12
|
|
0.15
|
|
0.22
|
|
0.16
|
|
0.08
|
*
|
9.28
|
0
|
(*) 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.
|
|
AMC 12A Item Difficulty - Grade 11^, 48,470 Students
|
ITEM
|
A
|
|
B
|
|
C
|
|
D
|
|
E
|
|
OMITS
|
?
|
1
|
0.07
|
|
0.14
|
|
4.28
|
|
0.35
|
|
5.02
|
*
|
0.13
|
0
|
2
|
0.16
|
|
0.26
|
|
8.84
|
*
|
0.09
|
|
0.59
|
|
0.05
|
0
|
3
|
0.42
|
|
3.52
|
*
|
2.12
|
|
0.49
|
|
0.58
|
|
2.87
|
0
|
4
|
0.11
|
|
0.06
|
|
0.47
|
|
0.30
|
|
8.34
|
*
|
0.71
|
0
|
5
|
1.20
|
|
5.85
|
*
|
0.07
|
|
1.03
|
|
0.26
|
|
1.58
|
0
|
6
|
4.04
|
*
|
0.41
|
|
2.62
|
|
0.14
|
|
0.75
|
|
2.03
|
0
|
7
|
1.19
|
|
3.15
|
*
|
1.53
|
|
1.70
|
|
0.79
|
|
1.64
|
0
|
8
|
1.24
|
|
4.72
|
*
|
0.24
|
|
0.42
|
|
0.18
|
|
3.19
|
0
|
9
|
0.32
|
|
1.67
|
|
3.70
|
*
|
0.49
|
|
0.55
|
|
3.27
|
0
|
10
|
0.15
|
|
0.34
|
|
6.42
|
*
|
0.56
|
|
0.07
|
|
2.45
|
0
|
11
|
2.01
|
*
|
0.65
|
|
0.64
|
|
0.48
|
|
0.30
|
|
5.92
|
0
|
12
|
0.36
|
|
3.03
|
*
|
0.91
|
|
0.17
|
|
0.30
|
|
5.23
|
0
|
13
|
0.88
|
|
2.92
|
*
|
0.48
|
|
0.36
|
|
0.65
|
|
4.71
|
0
|
14
|
0.83
|
*
|
0.20
|
|
0.88
|
|
1.07
|
|
0.26
|
|
6.76
|
0
|
15
|
1.02
|
|
1.40
|
|
1.50
|
*
|
0.76
|
|
0.73
|
|
4.59
|
0
|
16
|
1.18
|
|
0.30
|
*
|
0.13
|
|
0.11
|
|
0.60
|
|
7.68
|
0
|
17
|
0.60
|
|
0.52
|
|
2.40
|
|
1.19
|
*
|
0.13
|
|
5.17
|
0
|
18
|
0.54
|
|
0.36
|
|
0.57
|
|
1.07
|
*
|
0.38
|
|
7.09
|
0
|
19
|
0.31
|
|
0.51
|
|
0.27
|
|
0.27
|
*
|
0.43
|
|
8.22
|
0
|
20
|
1.01
|
|
0.73
|
|
1.17
|
|
0.54
|
|
0.68
|
*
|
5.88
|
0
|
21
|
0.10
|
|
0.19
|
|
0.22
|
|
0.23
|
*
|
0.14
|
|
9.12
|
0
|
22
|
0.15
|
|
0.25
|
*
|
0.13
|
|
0.15
|
|
0.49
|
|
8.82
|
0
|
23
|
0.27
|
|
0.24
|
|
0.21
|
|
0.21
|
|
0.29
|
*
|
8.79
|
0
|
24
|
0.21
|
|
0.15
|
|
0.16
|
*
|
0.12
|
|
0.16
|
|
9.21
|
0
|
25
|
0.14
|
|
0.16
|
|
0.25
|
|
0.17
|
|
0.08
|
*
|
9.20
|
0
|
(*) 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.
|
|
AMC 12A Item Difficulty - Grade 10^, 8,050 Students
|
ITEM
|
A
|
|
B
|
|
C
|
|
D
|
|
E
|
|
OMITS
|
?
|
1
|
0.07
|
|
0.11
|
|
3.97
|
|
0.35
|
|
5.37
|
*
|
0.13
|
0
|
2
|
0.17
|
|
0.22
|
|
9.05
|
*
|
0.08
|
|
0.44
|
|
0.04
|
0
|
3
|
0.37
|
|
3.87
|
*
|
2.07
|
|
0.47
|
|
0.54
|
|
2.69
|
0
|
4
|
0.07
|
|
0.05
|
|
0.38
|
|
0.29
|
|
8.59
|
*
|
0.62
|
0.01
|
5
|
1.12
|
|
5.88
|
*
|
0.07
|
|
1.08
|
|
0.26
|
|
1.60
|
0
|
6
|
4.43
|
*
|
0.39
|
|
2.33
|
|
0.12
|
|
0.71
|
|
2.01
|
0
|
7
|
1.16
|
|
3.39
|
*
|
1.63
|
|
1.65
|
|
0.78
|
|
1.39
|
0
|
8
|
1.08
|
|
4.77
|
*
|
0.21
|
|
0.48
|
|
0.17
|
|
3.28
|
0
|
9
|
0.31
|
|
1.59
|
|
3.94
|
*
|
0.41
|
|
0.46
|
|
3.29
|
0
|
10
|
0.13
|
|
0.33
|
|
6.59
|
*
|
0.54
|
|
0.06
|
|
2.35
|
0
|
11
|
2.20
|
*
|
0.60
|
|
0.54
|
|
0.42
|
|
0.26
|
|
5.99
|
0
|
12
|
0.39
|
|
3.32
|
*
|
0.81
|
|
0.15
|
|
0.30
|
|
5.04
|
0
|
13
|
0.84
|
|
3.14
|
*
|
0.43
|
|
0.31
|
|
0.69
|
|
4.59
|
0
|
14
|
1.08
|
*
|
0.15
|
|
0.75
|
|
1.03
|
|
0.20
|
|
6.79
|
0
|
15
|
1.03
|
|
1.28
|
|
1.64
|
*
|
0.73
|
|
0.65
|
|
4.66
|
0
|
16
|
1.03
|
|
0.42
|
*
|
0.11
|
|
0.08
|
|
0.65
|
|
7.71
|
0
|
17
|
0.52
|
|
0.48
|
|
2.44
|
|
1.53
|
*
|
0.11
|
|
4.92
|
0
|
18
|
0.48
|
|
0.30
|
|
0.44
|
|
1.22
|
*
|
0.32
|
|
7.25
|
0
|
19
|
0.25
|
|
0.40
|
|
0.20
|
|
0.25
|
*
|
0.29
|
|
8.60
|
0
|
20
|
0.93
|
|
0.75
|
|
1.17
|
|
0.56
|
|
0.74
|
*
|
5.85
|
0
|
21
|
0.05
|
|
0.12
|
|
0.16
|
|
0.23
|
*
|
0.10
|
|
9.34
|
0
|
22
|
0.11
|
|
0.22
|
*
|
0.09
|
|
0.11
|
|
0.39
|
|
9.08
|
0
|
23
|
0.23
|
|
0.21
|
|
0.15
|
|
0.15
|
|
0.26
|
*
|
9.00
|
0
|
24
|
0.17
|
|
0.10
|
|
0.14
|
*
|
0.09
|
|
0.11
|
|
9.38
|
0
|
25
|
0.11
|
|
0.13
|
|
0.19
|
|
0.14
|
|
0.07
|
*
|
9.36
|
0
|
(*) 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.
|
|
AMC 12A Item Difficulty - Grade 9^, 2,188 Students
|
ITEM
|
A
|
|
B
|
|
C
|
|
D
|
|
E
|
|
OMITS
|
?
|
1
|
0.05
|
|
0.16
|
|
4.51
|
|
0.44
|
|
4.57
|
*
|
0.28
|
0
|
2
|
0.18
|
|
0.37
|
|
8.69
|
*
|
0.10
|
|
0.54
|
|
0.11
|
0
|
3
|
0.37
|
|
3.57
|
*
|
2.15
|
|
0.39
|
|
0.47
|
|
3.05
|
0
|
4
|
0.12
|
|
0.07
|
|
0.49
|
|
0.33
|
|
8.49
|
*
|
0.50
|
0
|
5
|
1.09
|
|
4.83
|
*
|
0.06
|
|
1.07
|
|
0.41
|
|
2.54
|
0
|
6
|
4.31
|
*
|
0.33
|
|
2.43
|
|
0.16
|
|
0.54
|
|
2.23
|
0
|
7
|
1.18
|
|
3.34
|
*
|
1.62
|
|
1.73
|
|
0.74
|
|
1.38
|
0
|
8
|
1.13
|
|
4.51
|
*
|
0.21
|
|
0.52
|
|
0.23
|
|
3.40
|
0
|
9
|
0.33
|
|
1.75
|
|
3.67
|
*
|
0.38
|
|
0.32
|
|
3.55
|
0
|
10
|
0.17
|
|
0.35
|
|
6.39
|
*
|
0.45
|
|
0.06
|
|
2.57
|
0
|
11
|
2.11
|
*
|
0.61
|
|
0.53
|
|
0.47
|
|
0.28
|
|
5.99
|
0
|
12
|
0.29
|
|
2.92
|
*
|
0.81
|
|
0.15
|
|
0.27
|
|
5.57
|
0
|
13
|
0.78
|
|
2.82
|
*
|
0.46
|
|
0.23
|
|
0.67
|
|
5.04
|
0
|
14
|
0.67
|
*
|
0.17
|
|
0.75
|
|
1.06
|
|
0.18
|
|
7.17
|
0
|
15
|
1.11
|
|
1.21
|
|
1.67
|
*
|
0.71
|
|
0.70
|
|
4.61
|
0
|
16
|
0.67
|
|
0.31
|
*
|
0.13
|
|
0.09
|
|
0.56
|
|
8.24
|
0
|
17
|
0.41
|
|
0.40
|
|
2.60
|
|
1.29
|
*
|
0.09
|
|
5.21
|
0
|
18
|
0.43
|
|
0.32
|
|
0.38
|
|
1.01
|
*
|
0.24
|
|
7.61
|
0
|
19
|
0.31
|
|
0.37
|
|
0.26
|
|
0.27
|
*
|
0.35
|
|
8.45
|
0
|
20
|
0.79
|
|
0.75
|
|
1.12
|
|
0.63
|
|
0.69
|
*
|
6.01
|
0
|
21
|
0.08
|
|
0.15
|
|
0.14
|
|
0.21
|
*
|
0.10
|
|
9.32
|
0
|
22
|
0.11
|
|
0.22
|
*
|
0.10
|
|
0.11
|
|
0.37
|
|
9.10
|
0
|
23
|
0.22
|
|
0.20
|
|
0.15
|
|
0.17
|
|
0.24
|
*
|
9.02
|
0
|
24
|
0.16
|
|
0.16
|
|
0.16
|
*
|
0.15
|
|
0.15
|
|
9.22
|
0
|
25
|
0.11
|
|
0.17
|
|
0.19
|
|
0.11
|
|
0.07
|
*
|
9.34
|
0
|
(*) 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.
|
|
AMC 12A Item Difficulty - Grade 8 & below^, 133 Students
|
ITEM
|
A
|
|
B
|
|
C
|
|
D
|
|
E
|
|
OMITS
|
?
|
1
|
0.00
|
|
0.15
|
|
3.61
|
|
0.23
|
|
5.94
|
*
|
0.08
|
0
|
2
|
0.08
|
|
0.08
|
|
9.47
|
*
|
0.08
|
|
0.30
|
|
0.00
|
0
|
3
|
0.38
|
|
4.89
|
*
|
2.48
|
|
0.30
|
|
0.38
|
|
1.58
|
0
|
4
|
0.15
|
|
0.00
|
|
0.23
|
|
0.38
|
|
8.80
|
*
|
0.45
|
0
|
5
|
1.20
|
|
5.34
|
*
|
0.15
|
|
1.05
|
|
0.38
|
|
1.88
|
0
|
6
|
6.39
|
*
|
0.30
|
|
1.50
|
|
0.00
|
|
0.45
|
|
1.35
|
0
|
7
|
0.68
|
|
3.76
|
*
|
1.28
|
|
2.33
|
|
0.53
|
|
1.43
|
0
|
8
|
0.83
|
|
4.74
|
*
|
0.15
|
|
0.38
|
|
0.30
|
|
3.61
|
0
|
9
|
0.08
|
|
0.98
|
|
5.86
|
*
|
0.15
|
|
0.00
|
|
2.93
|
0
|
10
|
0.08
|
|
0.15
|
|
7.82
|
*
|
0.38
|
|
0.15
|
|
1.43
|
0
|
11
|
3.83
|
*
|
0.60
|
|
0.60
|
|
0.23
|
|
0.30
|
|
4.44
|
0
|
12
|
0.15
|
|
4.36
|
*
|
0.38
|
|
0.00
|
|
0.23
|
|
4.89
|
0
|
13
|
0.23
|
|
5.19
|
*
|
0.15
|
|
0.08
|
|
0.53
|
|
3.83
|
0
|
14
|
1.95
|
*
|
0.15
|
|
0.45
|
|
1.65
|
|
0.23
|
|
5.56
|
0
|
15
|
0.45
|
|
0.90
|
|
2.78
|
*
|
0.23
|
|
0.53
|
|
5.11
|
0
|
16
|
0.68
|
|
0.68
|
*
|
0.00
|
|
0.15
|
|
0.83
|
|
7.67
|
0
|
17
|
0.30
|
|
0.53
|
|
2.56
|
|
2.71
|
*
|
0.08
|
|
3.83
|
0
|
18
|
0.45
|
|
0.23
|
|
0.23
|
|
1.58
|
*
|
0.15
|
|
7.37
|
0
|
19
|
0.08
|
|
0.30
|
|
0.15
|
|
0.45
|
*
|
0.15
|
|
8.87
|
0
|
20
|
1.05
|
|
0.30
|
|
1.50
|
|
0.38
|
|
0.75
|
*
|
6.02
|
0
|
21
|
0.08
|
|
0.00
|
|
0.30
|
|
0.68
|
*
|
0.23
|
|
8.72
|
0
|
22
|
0.00
|
|
0.45
|
*
|
0.08
|
|
0.00
|
|
0.45
|
|
9.02
|
0
|
23
|
0.15
|
|
0.38
|
|
0.00
|
|
0.00
|
|
0.83
|
*
|
8.65
|
0
|
24
|
0.08
|
|
0.08
|
|
0.15
|
*
|
0.00
|
|
0.23
|
|
9.47
|
0
|
25
|
0.08
|
|
0.00
|
|
0.00
|
|
0.15
|
|
0.08
|
*
|
9.70
|
0
|
(*) 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.
|
|
2004 Directory for High School |
Answers |
|
AMC 10B posted on 1/1/04
|
AMC 12A posted on 2/16/04
|
|
Statistics |
|
12A & 12B
|
Item Difficulty |
in General
|
|
|
by Gender
|
|
|
|
|
by Grade
|
|
|
|
|
Score Distribution |
in General
|
|
by Gender
|
|
|
by Grade
|
|
|
|
|
Perfect Scores |
|
Team Scores |
|
|
|