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AMC historical results

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

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.
  • Honor Roll: Stopped in 2020, top 5% of the scores on the AMC 10.

2021 Fall

AMC 10A

  • Average score: 59.63
  • AIME floor: 96
  • Distinction: 100.5
  • Distinguished Honor Roll: 117

AMC 10B

  • Average score: 56.57
  • AIME floor: 96
  • Distinction: 100.5
  • Distinguished Honor Roll: 120

AMC 12A

  • Average score: 63.65
  • AIME floor: 91.5
  • Distinction: 111
  • Distinguished Honor Roll: 130.5

AMC 12B

  • Average score: 57.37
  • AIME floor: 84
  • Distinction: 103.5
  • Distinguished Honor Roll: 130

2021 Spring

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: NA
  • Honor Roll: NA
  • DHR: NA

The AMC 8 did not occur in the spring of 2021.

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

  • AIME floor: 112.5
  • DHR: 127.5
  • HR: 112.5
  • Mean: 59.33
  • Median: 55.5

AMC 10B

  • AIME floor: 120
  • DHR: 136.5
  • HR: 120
  • Mean: 66.56
  • Median: 61.5

AMC 12A

  • AIME floor: 96
  • DHR: 115.5
  • HR: 96
  • Mean: 57.0
  • Median: 52.5

AMC 12B

  • AIME floor: 100
  • DHR: 129
  • HR: 100.5
  • Mean: 58.35
  • Median: 54

AIME I

  • USAMO floor: 225.5 (AMC 12A), 235 (AMC 12B)
  • USAJMO floor: 224.5 (AMC 10A), 233 (AMC 10B)
  • Mean: 5.69
  • Median: 5

AIME II

  • USAMO floor: 221 (AMC 12A), 230.5 (AMC 12B)
  • USAJMO floor: 219 (AMC 10A), 225 (AMC 10B)
  • Mean: 5.64
  • Median: 5

USAJMO

  • Participants: 208

USAMO

  • Participants: 280

AMC 8

  • DHR: 20
  • HR: 17
  • Mean: 8.96

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

  • AIME floor: 117
  • DHR: 129
  • HR: 117
  • Mean: 64.24

AMC 10B

  • AIME floor: 117
  • DHR: 133.5
  • HR: 117
  • Mean: 71.78

AMC 12A

  • AIME floor: 93
  • DHR: 112.5
  • HR: 92
  • Mean: 65.38

AMC 12B

  • AIME floor: 97.5
  • DHR: 121.5
  • HR: 92
  • Mean: 64.71

AIME I

  • USAMO floor: 188
  • USAJMO floor: 179
  • Mean: 2.23
  • Median: 2

AIME II

  • USAMO floor: 215.5
  • USAJMO floor: 196.5
  • Mean: 5.47
  • Median: 5

USAJMO

  • Participants: 222

USAMO

  • Participants: 282

AMC 8

  • DHR: 22
  • HR: 17
  • Mean: 10.75

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: 4.12
  • Median: 3
  • Participants: 3618

AIME II

  • Mean: 5.91
  • Median: 6
  • Participants: 2904

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%)
  • DHR: 133.5
  • HR: 120
  • Mean: 70.4

AMC 10B

  • AIME floor: 120
  • AIME qualifiers: 2365 (7.5%)
  • DHR: 141
  • HR: 124.5
  • Mean: 74.4

AMC 12A

  • AIME floor: 97.5
  • AIME qualifiers: 5614 (6.7%)
  • DHR: 117
  • HR: 100.5
  • Mean: 68.0

AMC 12B

  • AIME floor: 100
  • AIME qualifiers: 3723 (10.8%)
  • DHR: 124.5
  • HR: 108
  • Mean: 71.7

AIME I

  • Mean: 4.17
  • Median: 4

AIME II

  • Mean: 3.27
  • Median: 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

  • AIME floor: 117
  • AIME qualifiers: 1765 (2.6%)
  • DHR: 127.5
  • HR: 100.5
  • Mean: 58.1

AMC 10B

  • AIME floor: 120
  • AIME qualifiers: 933 (2.7%)
  • DHR: 127.5
  • HR: 100.5
  • Mean: 66.6

AMC 12A

  • AIME floor: 97.5
  • AIME qualifiers: 5183 (6.5%)
  • DHR: 120
  • HR: 97.5
  • Mean: 65.6

AMC 12B

  • AIME floor: 97.5
  • AIME qualifiers: 3367 (8.1%)
  • DHR: 120
  • HR: 97.5
  • Mean: 68.9

AIME I

  • Mean: 4.77
  • Median: 4

AIME II

  • Mean: 5.27
  • Median: 5

USAMO

  • USAMO floor: 204 (215 Index with 7 AIME for non juniors and seniors)
  • Participants: 503

AMC 8

  • DHR: 22
  • HR: 19
  • Mean: 11.45

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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