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AMC historical results

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This is the AMC historical results page. This page should include results for the AIME as well. For USAMO results, see USAMO historical results.

Contents

1 Explanations of Awards
2 2021
- 2.1 AMC 10A
- 2.2 AMC 10B
- 2.3 AMC 12A
- 2.4 AMC 12B
- 2.5 AIME I
- 2.6 AIME II
- 2.7 AMC 8
3 2020
- 3.1 AMC 10A
- 3.2 AMC 10B
- 3.3 AMC 12A
- 3.4 AMC 12B
- 3.5 AIME I
- 3.6 AIME II
- 3.7 AMC 8
4 2019
- 4.1 AMC 10A
- 4.2 AMC 10B
- 4.3 AMC 12A
- 4.4 AMC 12B
- 4.5 AIME I
- 4.6 AIME II
- 4.7 AMC 8
5 2018
- 5.1 AMC 10A
- 5.2 AMC 10B
- 5.3 AMC 12A
- 5.4 AMC 12B
- 5.5 AIME I
- 5.6 AIME II
- 5.7 AMC 8
6 2017
- 6.1 AMC 10A
- 6.2 AMC 10B
- 6.3 AMC 12A
- 6.4 AMC 12B
- 6.5 AIME I
- 6.6 AIME II
- 6.7 AMC 8
7 2016
- 7.1 AMC 10A
- 7.2 AMC 10B
- 7.3 AMC 12A
- 7.4 AMC 12B
- 7.5 AIME I
- 7.6 AIME II
- 7.7 AMC 8
8 2015
- 8.1 AMC 10A
- 8.2 AMC 10B
- 8.3 AMC 12A
- 8.4 AMC 12B
- 8.5 AIME I
- 8.6 AIME II
- 8.7 AMC 8
9 2014
- 9.1 AMC 10A
- 9.2 AMC 10B
- 9.3 AMC 12A
- 9.4 AMC 12B
- 9.5 AIME I
- 9.6 AIME II
- 9.7 AMC 8
10 2013
- 10.1 AMC 10A
- 10.2 AMC 10B
- 10.3 AMC 12A
- 10.4 AMC 12B
- 10.5 AIME I
- 10.6 AIME II
- 10.7 AMC 8
11 2012
- 11.1 AMC 10A
- 11.2 AMC 10B
- 11.3 AMC 12A
- 11.4 AMC 12B
- 11.5 AIME I
- 11.6 AIME II
- 11.7 AMC 8
12 2011
- 12.1 AMC 10A
- 12.2 AMC 10B
- 12.3 AMC 12A
- 12.4 AMC 12B
- 12.5 AIME I
- 12.6 AIME II
- 12.7 AMC 8
13 2010
- 13.1 AMC 10A
- 13.2 AMC 10B
- 13.3 AMC 12A
- 13.4 AMC 12B
- 13.5 AIME I
- 13.6 AIME II
- 13.7 USAJMO
- 13.8 USAMO
- 13.9 AMC 8
14 2009
- 14.1 AMC 10A
- 14.2 AMC 10B
- 14.3 AMC 12A
- 14.4 AMC 12B
- 14.5 AIME I
- 14.6 AIME II
- 14.7 USAMO
- 14.8 AMC 8
15 2008
- 15.1 AMC 10A
- 15.2 AMC 10B
- 15.3 AMC 12A
- 15.4 AMC 12B
- 15.5 AIME I
- 15.6 AIME II
- 15.7 AMC 8
16 2007
- 16.1 AMC 10A
- 16.2 AMC 10B
- 16.3 AMC 12A
- 16.4 AMC 12B
- 16.5 AIME I
- 16.6 AIME II
- 16.7 AMC 8
17 2006
- 17.1 AMC 10A
- 17.2 AMC 10B
- 17.3 AMC 12A
- 17.4 AMC 12B
- 17.5 AIME I
- 17.6 AIME II
- 17.7 USAMO
- 17.8 AMC 8
18 2005
- 18.1 AMC 10A
- 18.2 AMC 10B
- 18.3 AMC 12A
- 18.4 AMC 12B
- 18.5 AIME I
- 18.6 AIME II
- 18.7 USAMO
- 18.8 AMC 8
19 2004
- 19.1 AMC 10A
- 19.2 AMC 10B
- 19.3 AMC 12A
- 19.4 AMC 12B
- 19.5 AIME I
- 19.6 AIME II
- 19.7 USAMO
- 19.8 AMC 8
20 2003
- 20.1 AMC 10A
- 20.2 AMC 10B
- 20.3 AMC 12A
- 20.4 AMC 12B
- 20.5 AIME I
- 20.6 AIME II
- 20.7 USAMO
- 20.8 AMC 8
21 2002
- 21.1 AMC 10A
- 21.2 AMC 10B
- 21.3 AMC 12A
- 21.4 AMC 12B
- 21.5 AIME I
- 21.6 AIME II
- 21.7 USAMO
22 2001
- 22.1 AMC 10
- 22.2 AMC 12
- 22.3 AIME I
- 22.4 AIME II
- 22.5 USAMO
23 2000
- 23.1 AMC 10
- 23.2 AMC 12
- 23.3 AIME I
- 23.4 AIME II
- 23.5 USAMO
24 1999
- 24.1 AHSME
- 24.2 AIME

Explanations of Awards

Average score: Average score of all participants, regardless of age, grade level, gender, and region.
AIME floor: Before 2020, approximately the top 2.5% of scores on the AMC 10 and the top 5% of scores on the AMC 12 were invited to participate in AIME. Since 2020, the AIME floor has been set to a higher percentage of scores, possibly to allow a consistent number of AIME qualifiers, rather than a fixed percentage.
Distinction: First awarded in 2020. Top 5% of scores on the AMC 10/12.
Distinguished Honor Roll: Top 1% of scores on the AMC 10/12.

2021

AMC 10A

Average score: 65.53
AIME floor: 103.5
Distinction: 112.5
Distinguished Honor Roll: 132

AMC 10B

Average score: 62.31
AIME floor: 102
Distinction: 108
Distinguished Honor Roll: 126

AMC 12A

Average score: 67.42
AIME floor: 93
Distinction: 114
Distinguished Honor Roll: 133.5

AMC 12B

Average score: 61.55
AIME floor: 91.5
Distinction: 109.5
Distinguished Honor Roll: 132

AIME I

Average score: 4.11
Median score: 4
USAMO cutoff: 229.5 (AMC 12A), 231.5 (AMC 12B)
USAJMO cutoff: 217 (AMC 10A), 213 (AMC 10B)

AIME II

Average score: 5.42
Median score: 5
USAMO cutoff: 238 (AMC 12A), 238 (AMC 12B)
USAJMO cutoff: 223 (AMC 10A), 214.5 (AMC 10B)

AMC 8

Average score:
Honor Roll:
DHR:

2020

AMC 10A

Average score: 64.29
AIME floor: 103.5
Distinction: 105
Distinguished Honor Roll: 124.5

AMC 10B

Average score: 61.22
AIME floor: 102
Distinction: 103.5
Distinguished Honor Roll: 120

AMC 12A

Average score: 61.42
AIME floor: 87
Distinction: 100.5
Distinguished Honor Roll: 123

AMC 12B

Average score: 60.47
AIME floor: 87
Distinction: 97.5
Distinguished Honor Roll: 120

AIME I

Average score: 5.69
Median score: 6
USAMO cutoff: 233.5 (AMC 12A), 235 (AMC 12B)
USAJMO cutoff: 229.5 (AMC 10A), 230 (AMC 10B)

AIME II

Due to COVID-19, the 2020 AIME II was administered online and referred to as the AOIME.

Average score: 6.13
Median score: 6
USAMO cutoff: 234 (AMC 12A), 234.5 (AMC 12B)
USAJMO cutoff: 233.5 (AMC 10A), 229.5 (AMC 10B)

AMC 8

Average score: 10.00
Honor Roll: 18
DHR: 21

2019

AMC 10A

Average score: 51.66
Honor roll: 96
AIME floor: 103.5
DHR: 123

AMC 10B

Average score: 58.42
Honor roll: 102
AIME floor: 108
Distinguished Honor Roll: 121.5

AMC 12A

Average score: 49.22
AIME floor: 84
DHR: 121.5

AMC 12B

Average score: 56.73
AIME floor: 94.5
DHR: 123

AIME I

Average score: 5.88
Median score: 6
USAMO cutoff: 220 (AMC 12A), 230.5 (AMC 12B)
USAJMO cutoff: 209.5 (AMC 10A), 216 (AMC 10B)

AIME II

Average score: 6.47
Median score: 6
USAMO cutoff: 230.5 (AMC 12A), 236 (AMC 12B)
USAJMO cutoff: 216.5 (AMC 10A), 220.5 (AMC 10B)

AMC 8

Average score: 9.43
Honor roll: 19
DHR: 23

2018

AMC 10A

Average score: 53.84
Honor roll: 100.5
AIME floor: 111
DHR: 127.5

AMC 10B

Average score: 57.81
Honor roll: 97.5
AIME floor: 108
DHR: 123

AMC 12A

Average score: 56.36
AIME floor: 93
DHR: 120

AMC 12B

Average score: 57.85
AIME floor: 99
DHR: 126

AIME I

Average score: 5.09
Median score: 5
USAMO cutoff: 215 (AMC 12A), 235 (AMC 12B)
USAJMO cutoff: 222 (AMC 10A), 212 (AMC 10B)

AIME II

Average score: 5.48
Median score: 5
USAMO cutoff: 216 (AMC 12A), 230.5 (AMC 12B)
USAJMO cutoff: 222 (AMC 10A), 212 (AMC 10B)

AMC 8

Average score: 8.51
Honor roll: 15
DHR: 19

2017

AMC 10A

Average score: 59.33
AIME floor: 112.5
DHR: 127.5

AMC 10B

Average score: 66.56
AIME floor: 120
DHR: 136.5

AMC 12A

Average score: 59.66
AIME floor: 96
DHR: 115.5

AMC 12B

Average score: 58.35
AIME floor: 100
DHR: 129

AIME I

Average score: 5.69
Median score: 5
USAMO cutoff: 225 (AMC 12A), 235 (AMC 12B)
USAJMO cutoff: 224.5 (AMC 10A), 233 (AMC 10B)

AIME II

Average score: 5.64
Median score: 5
USAMO cutoff: 221 (AMC 12A), 230.5 (AMC 12B)
USAJMO cutoff: 219 (AMC 10A), 225 (AMC 10B)

AMC 8

Average score: 8.96
Honor roll: 17
DHR: 20

2016

AMC 10A

Average score: 65.31
AIME floor: 110
DHR: 120

AMC 10B

Average score: 65.40
AIME floor: 110
DHR: 124.5

AMC 12A

Average score: 60.32
AIME floor: 93
DHR: 111

AMC 12B

Average score: 68.65
AIME floor: 100.5
DHR: 127.5

AIME I

Average score: 5.83
Median score: 6
USAMO cutoff: 220
USAJMO cutoff: 210.5

AIME II

Average score: 4.43
Median score: 4
USAMO cutoff: 205
USAJMO cutoff: 200

AMC 8

Average score: 9.36
Honor roll: 18
DHR: 22

2015

AMC 10A

Average score: 73.39
AIME floor: 106.5
DHR: 115.5

AMC 10B

Average score: 76.09
AIME floor: 120
DHR: 132

AMC 12A

Average score: 69.90
AIME floor: 99
DHR: 117

AMC 12B

Average score: 66.88
AIME floor: 100.5
DHR: 126

AIME I

Average score: 5.29
Median score: 5
USAMO cutoff: 219.0
USAJMO cutoff: 213.0

AIME II

Average score: 6.63
Median score: 6
USAMO cutoff: 229.0
USAJMO cutoff: 223.5

AMC 8

Average score: 8.55
Honor roll: 16
DHR: 21

2014

AMC 10A

Average score: 63.34
AIME floor: 120
DHR: 132

AMC 10B

Average score: 71.42
AIME floor: 120
DHR: 132

AMC 12A

Average score: 63.60
AIME floor: 93
DHR: 109.5

AMC 12B

Average score: 68.12
AIME floor: 100.5
DHR: 121.5

AIME I

Average score: 4.88
Median score: 5
USAMO cutoff: 211.5
USAJMO cutoff: 211

AIME II

Average score: 5.49
Median score: 5
USAMO cutoff: 211.5
USAJMO cutoff: 211

AMC 8

Average score: 11.43
Honor roll: 19
DHR: 23

2013

AMC 10A

Average score: 72.50
AIME floor: 108
DHR: 117

AMC 10B

Average score: 72.62
AIME floor: 120
DHR: 129

AMC 12A

Average score: 65.06
AIME floor: 88.5
DHR: 106.5

AMC 12B

Average score: 64.21
AIME floor: 93
DHR: 108

AIME I

Average score: 4.69
Median score: 4
USAMO cutoff: 209
USAJMO cutoff: 210.5

AIME II

Average score: 6.56
Median score: 6
USAMO cutoff: 209
USAJMO cutoff: 210.5

AMC 8

Average score: 10.69
Honor roll: 18
DHR: 22

2012

AMC 10A

Average score: 72.51
AIME floor: 115.5
DHR: 121.5

AMC 10B

Average score: 76.59
AIME floor: 120
DHR: 133.5

AMC 12A

Average score: 64.62
AIME floor: 94.5
DHR: 109.5

AMC 12B

Average score: 70.08
AIME floor: 99
DHR: 114

AIME I

Average score: 5.13
Median score: 5
USAMO cutoff: 204.5
USAJMO cutoff: 204

AIME II

Average score: 4.94
Median score: 5
USAMO cutoff: 204.5
USAJMO cutoff: 204

AMC 8

Average score: 10.67
Honor roll: 18
DHR: 22

2011

AMC 10A

Average score: 64.24
AIME floor: 117
DHR: 129

AMC 10B

Average score: 71.78
AIME floor: 117
DHR: 133.5

AMC 12A

Average score: 65.38
AIME floor: 93
DHR: 112.5

AMC 12B

Average score: 64.71
AIME floor: 97.5
DHR: 121.5

AIME I

Average score: 2.23
Median score: 2
USAMO cutoff: 188
USAJMO cutoff: 179

AIME II

Average score: 5.47
Median score: 5
USAMO cutoff: 215.5
USAJMO cutoff: 196.5

AMC 8

Average score: 10.75
Honor roll: 17
DHR: 22

2010

AMC 10A

AIME floor: 118.5
AIME qualifiers: 960 (1.5%)
DHR: 121.5
HR: 118.5
Mean: 70.8

AMC 10B

AIME floor: 118.5
AIME qualifiers: 770 (2.0%)
DHR: 124.5
HR: 118.5
Mean: 68.3

AMC 12A

AIME floor: 88.5
AIME qualifiers: 4874 (7.1%)
DHR: 108
HR: 88.5
Mean: 62.5

AMC 12B

AIME floor: 88.5
AIME qualifiers: 3270 (8.0%)
DHR: 108
HR: 88.5
Mean: 59.8

AIME I

Mean: 5.90
Median: 6

AIME II

Mean: 3.39
Median: 3

USAJMO

USAJMO floor: 188.5 Index or 11 AIME
Participants: 235

USAMO

USAMO floor: 208.5 (204.5 for non juniors and seniors)
Participants: 328

AMC 8

DHR: 22
HR: 17
Mean: 9.59

2009

AMC 10A

AIME floor: 120
AIME qualifiers: 3045 (4.2%)
Mean: 70.4

AMC 10B

AIME floor: 120
AIME qualifiers: 2365 (7.5%)
Mean: 74.4

AMC 12A

AIME floor: 97.5
AIME qualifiers: 5614 (6.7%)
Mean: 68.0

AMC 12B

AIME floor: 100
AIME qualifiers: 3723 (10.8%)
Mean: 71.7

AIME I

Mean: 4.17
Median: 4

AIME II

Average score: 3.27
Median score: 3

USAMO

USAMO floor: 201 Index or (7 AIME and 215 Index)
Participants: 514

AMC 8

DHR: 20
HR: 17
Mean: 10.28

2008

AMC 10A

Average score: 58.1
AIME floor: 117

AMC 10B

Average score: 66.6
AIME floor: 120

AMC 12A

Average score: 65.6
AIME floor: 97.5

AMC 12B

Average score: 68.9
AIME floor: 97.5

AIME I

Average score: 4.77
Median score: 4
USAMO floor:

AIME II

Average score: 5.27
Median score: 5
USAMO floor:

AMC 8

Average score: 11.45
Honor roll: 19
DHR: 22

2007

AMC 10A

Average score: 67.9
AIME floor: 117

AMC 10B

Average score: 61.5
AIME floor: 115.5

AMC 12A

Average score: 66.8
AIME floor: 97.5

AMC 12B

Average score: 73.1
AIME floor: 100

AIME I

Average score: 5
Median score: 3
USAMO floor: 6

AIME II

Average score:
Median score:
USAMO floor:

AMC 8

Average score: 9.87
Honor roll: 17
DHR: 21

2006

AMC 10A

AIME floor: 120
AIME qualifiers: 1680 (2.7%)
Mean: 79.0

AMC 10B

AIME floor: 120
AIME qualifiers: 870 (2.3%)
Mean: 68.5

AMC 12A

AIME floor: 100
AIME qualifiers: 17118 (22.3%)
Mean: 85.7

AMC 12B

AIME floor: 100
AIME qualifiers: 10654 (21.2%)
Mean: 85.5

AIME I

Participants:
Mean:

AIME II

Participants:
Mean:

USAMO

AMC 12 USAMO floor: 217 Index
AMC 10 USAMO floor: 8 AIME
Participants: 432

AMC 8

DHR: 21
HR: 17

2005

AMC 10A

AIME floor: 120
AIME qualifiers: 1258 (1.9%)
DHR: 120
HR: 100
Mean: 74.7

AMC 10B

AIME floor: 120
AIME qualifiers: 555 (1.6%)
DHR: 120
HR: 100
Mean: 77.9

AMC 12A

AIME floor: 100
AIME qualifiers: 9441 (11.2%)
DHR: 120
HR: 100
Mean: 78.7

AMC 12B

AIME floor: 100
AIME qualifiers: 5692 (12.8%)
DHR: 120
HR: 100
Mean: 83.4

AIME I

AMC 12 USAMO floor: 233 Index
Participants: 11197
Mean: 2.754

AIME II

AMC 12 USAMO floor: 220.5 Index
Participants: 1279
Mean: 2.439

USAMO

AMC 10 USAMO floor: 9 AIME
Participants: 259

AMC 8

DHR: 20
HR: 16

2004

AMC 10A

AIME floor: 110
AIME qualifiers: 1118 (1.4%)
DHR: 112.5
HR: 100
Mean: 69.1

AMC 10B

AIME floor: 115
AIME qualifiers: 487 (2.1%)
DHR: 126
HR: 100
Mean: 80.4

AMC 12A

AIME floor: 100
AIME qualifiers: 8401 (8.1%)
DHR: 117
HR: 100
Mean: 73.9

AMC 12B

AIME floor: 100
AIME qualifiers: 6036 (19.2%)
DHR: 123
HR: 100
Mean: 84.5

AIME I

Participants: 9824
Mean: 2.246

AIME II

Participants: 2121
Mean: 1.959

USAMO

AMC 12 USAMO floor: 210 Index
AMC 10 USAMO floor: 7 AIME
Participants: 261

AMC 8

DHR: 21
HR: 17

2003

AMC 10A

AIME floor: 119
AIME qualifiers: 1534 (2.0%)
Mean: 74.4

AMC 10B

AIME floor: 121
AIME qualifiers: 350 (1.2%)
Mean: 79.6

AMC 12A

AIME floor: 100
AIME qualifiers: 12089 (12.2%)
Mean: 77.8

AMC 12B

AIME floor: 100
AIME qualifiers: 3812 (9.6%)
Mean: 76.6

AIME I

AMC 12 USAMO floor: 226 Index
AMC 10 USAMO floor: 8 AIME
Participants:
Mean:

AIME II

AMC 12 USAMO floor: 226 Index
AMC 10 USAMO floor: 8 AIME
Participants:
Mean:

USAMO

Participants: 250

AMC 8

DHR: 22
HR: 18

2002

AMC 10A

AIME floor: 115
AIME qualifiers: 921 (1.2%)
Mean: 68.5

AMC 10B

AIME floor: 118
AIME qualifiers: 374 (1.5%)
Mean: 74.9

AMC 12A

AIME floor: 100
AIME qualifiers: 7525 (7.2%)
Mean: 72.7

AMC 12B

AIME floor: 100
AIME qualifiers: 5666 (16.8%)
Mean: 80.8

AIME I

Participants:
Mean:

AIME II

Participants:
Mean:

USAMO

AMC 12 USAMO floor: 210 Index
AMC 10 USAMO floor: 6 AIME
Participants: 326

2001

AMC 10

AIME floor: 116
AIME qualifiers: 1790 (1.7%)
Mean: 67.8

AMC 12

AIME floor: 84
AIME qualifiers: 9030 (3.4%)
Mean: 56.6

AIME I

Participants:
Mean:

AIME II

Participants:
Mean:

USAMO

AMC 12 USAMO floor: 213 Index
AMC 10 USAMO floor: 7 AIME
Participants: 268

2000

AMC 10

AIME floor: 110
AIME qualifiers: 3892
Mean: 64.2

AMC 12

AIME floor: 92
AIME qualifiers: 9260 (3.3%)
Mean: 64.9

AIME I

Participants:
Mean:

AIME II

Participants:
Mean:

USAMO

Grade 12 USAMO floor: 212 Index
Grade 11 USAMO floor: 204 Index
Grade 10 USAMO floor: 174 Index, 8 AIME
Grade 9 USAMO floor: 164 Index, 7 AIME
Participants: 239

1999

AHSME

Average score: 68.8
AIME floor:

AIME

Average score:
Median score:
USAMO floor:

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