Difference between revisions of "AMC historical results"
MRENTHUSIASM (talk | contribs) m (2021 Fall/Spring AMC/12 should stay as they are. They should not be renamed as 2022 AMC 10/12.) |
(Based on the solve rate statistics for the 2021 AIME I, the average score was 5.44, and based on the contest score grade report with percentile, the median score was 5.) |
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===AIME I=== | ===AIME I=== | ||
− | *Average score: | + | *Average score: 5.44 |
− | *Median score: | + | *Median score: 5 |
*USAMO cutoff: 229.5 (AMC 12A), 231.5 (AMC 12B) | *USAMO cutoff: 229.5 (AMC 12A), 231.5 (AMC 12B) | ||
*USAJMO cutoff: 217 (AMC 10A), 213 (AMC 10B) | *USAJMO cutoff: 217 (AMC 10A), 213 (AMC 10B) |
Revision as of 16:25, 23 February 2022
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
[hide]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: 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
- 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: