AMC historical results
Revision as of 10:30, 17 November 2022 by Mathiscool12 (talk | contribs) (Undo revision 181799 by Mathiscool12 (talk))
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.
2022
AMC 10A
- Average score:
- AIME floor: AoPSers project around 100, most likely between 96 and 103.5.
- Distinction:
- DHR:
AMC 10B
- Average score:
- AIME floor:
- Distinction:
- DHR:
AMC 12A
- Average score:
- AIME floor: AoPSers project around 87, most likely between 84 and 91.5.
- Distinction:
- DHR:
AMC 12B
- Average score:
- AIME floor:
- Distinction:
- DHR:
AMC 8
- Average score: 9.74
- Honor Roll: 19
- DHR: 22
AIME I
- Average score: 4.8283
- Median score: 4
- USAMO cutoff: 222 (AMC 12A), 227.5 (AMC 12B)
- USAJMO cutoff: 203.5 (AMC 10A), 190.5 (AMC 10B)
AIME II
- Average score:
- Median score:
- USAMO cutoff: 208.5 (AMC 12A), 203 (AMC 12B)
- USAJMO cutoff: 196.5 (AMC 10A), 182 (AMC 10B)
2021 Fall
AMC 10A (Wednesday, November 10)
- Average score: 59.63
- AIME floor: 96
- Distinction: 100.5
- Distinguished Honor Roll: 117
AMC 10B (Tuesday, November 16)
- Average score: 56.57
- AIME floor: 96
- Distinction: 100.5
- Distinguished Honor Roll: 120
AMC 12A (Wednesday, November 10)
- Average score: 63.65
- AIME floor: 91.5
- Distinction: 111
- Distinguished Honor Roll: 130.5
AMC 12B (Tuesday, November 16)
- Average score: 57.37
- AIME floor: 84
- Distinction: 103.5
- Distinguished Honor Roll: 130.5
Schedule Change
In April 2021, MAA announced they would be moving the AMC 10/12 to November, before the new year, and AMC 8 to January, after the new year; however, the AIME would remain after the new year. Thus there are two "2021 AMC 10/12s", no "2021 AMC 8", and one “2021 AIME”. All future AMC contests will follow this schedule.
2021 Spring
AMC 10A (Thursday, February 4)
- Average score: 65.53
- AIME floor: 103.5
- Distinction: 112.5
- Distinguished Honor Roll: 132
AMC 10B (Wednesday, February 10)
- Average score: 62.31
- AIME floor: 102
- Distinction: 108
- Distinguished Honor Roll: 126
AMC 12A (Thursday, February 4)
- Average score: 67.42
- AIME floor: 93
- Distinction: 114
- Distinguished Honor Roll: 133.5
AMC 12B (Wednesday, February 10)
- Average score: 61.55
- AIME floor: 91.5
- Distinction: 109.5
- Distinguished Honor Roll: 132
AIME I (Wednesday, March 10)
- Average score: 5.44
- Median score: 5
- USAMO cutoff: 229.5 (AMC 12A), 231.5 (AMC 12B)
- USAJMO cutoff: 217 (AMC 10A), 213 (AMC 10B)
AIME II (Thursday, March 18)
- Average score: 5.42
- Median score: 5
- USAMO cutoff: 238 (AMC 12A), 238 (AMC 12B)
- USAJMO cutoff: 223 (AMC 10A), 214.5 (AMC 10B)
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:
