{"id":1950,"date":"2020-03-12T11:50:17","date_gmt":"2020-03-12T18:50:17","guid":{"rendered":"https:\/\/areteem.org\/blog\/?p=1950"},"modified":"2021-04-22T14:56:40","modified_gmt":"2021-04-22T21:56:40","slug":"2020-aime-i-answer-key-released","status":"publish","type":"post","link":"https:\/\/areteem.org\/blog\/2020-aime-i-answer-key-released\/","title":{"rendered":"2020 AIME I Answer Key Released"},"content":{"rendered":"\n<p>Yesterday, selected middle school and high school students participated in this year&#8217;s AIME I Competition (including some students at Areteem Headquarters seen below). <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"https:\/\/areteem.org\/blog\/wp-content\/uploads\/2019\/11\/AMC-8-Participants.jpg\"><img decoding=\"async\" loading=\"lazy\" width=\"300\" height=\"300\" src=\"https:\/\/areteem.org\/blog\/wp-content\/uploads\/2020\/03\/2020_AIMEI-300x300.png\" alt=\"\" class=\"wp-image-1951\" srcset=\"https:\/\/areteem.org\/blog\/wp-content\/uploads\/2020\/03\/2020_AIMEI-300x300.png 300w, https:\/\/areteem.org\/blog\/wp-content\/uploads\/2020\/03\/2020_AIMEI-150x150.png 150w, https:\/\/areteem.org\/blog\/wp-content\/uploads\/2020\/03\/2020_AIMEI-768x768.png 768w, https:\/\/areteem.org\/blog\/wp-content\/uploads\/2020\/03\/2020_AIMEI-1024x1024.png 1024w, https:\/\/areteem.org\/blog\/wp-content\/uploads\/2020\/03\/2020_AIMEI.png 1080w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><figcaption>Students taking the AIME exam at Areteem Headquarters.<\/figcaption><\/figure><\/div>\n\n\n\n<p>The problems can now be discussed! See below for the answer key for both the 2020 AIME I questions as well as the concepts tested on each problem. All answers for the AIME are in the form of 3-digit integers.<\/p>\n\n\n\n<div style=\"display: flex; flex-wrap: wrap;\"><div style=\"width: 50%; min-width: 20em\"><div style=\"display: flex;  align-items: top;\">\n<div style=\"text-align: right; padding: 0.2em 0.2em; min-width: 3em;\"><strong>1<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>547<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry: angles in triangles<\/div>\n<\/div>\n<div style=\"display: flex;  align-items: top;\">\n<div style=\"text-align: right; padding: 0.2em 0.2em; min-width: 3em;\"><strong>2<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>017<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra: logarithms<\/div>\n<\/div>\n<div style=\"display: flex;  align-items: top;\">\n<div style=\"text-align: right; padding: 0.2em 0.2em; min-width: 3em;\"><strong>3<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>621<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">number theory: number bases<\/div>\n<\/div>\n<div style=\"display: flex;  align-items: top;\">\n<div style=\"text-align: right; padding: 0.2em 0.2em; min-width: 3em;\"><strong>4<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>093<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">number theory: factors and divisibility<\/div>\n<\/div>\n<div style=\"display: flex;  align-items: top;\">\n<div style=\"text-align: right; padding: 0.2em 0.2em; min-width: 3em;\"><strong>5<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>052<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">combinatorics: overcounting and cases<\/div>\n<\/div>\n<div style=\"display: flex;  align-items: top;\">\n<div style=\"text-align: right; padding: 0.2em 0.2em; min-width: 3em;\"><strong>6<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>173<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry: tangent spheres and cross sections<\/div>\n<\/div>\n<div style=\"display: flex;  align-items: top;\">\n<div style=\"text-align: right; padding: 0.2em 0.2em; min-width: 3em;\"><strong>7<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>081<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">combinatorics: combinatorial identities or cases<\/div>\n<\/div>\n<div style=\"display: flex;  align-items: top;\">\n<div style=\"text-align: right; padding: 0.2em 0.2em; min-width: 3em;\"><strong>8<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>103<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry and algebra: geometric series and complex numbers<\/div>\n<\/div>\n<\/div><div style=\"width: 50%; min-width: 20em\"><div style=\"display: flex;  align-items: top;\">\n<div style=\"text-align: right; padding: 0.2em 0.2em; min-width: 3em;\"><strong>9<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>077<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">combinatorics: probability, stars and bars<\/div>\n<\/div>\n<div style=\"display: flex;  align-items: top;\">\n<div style=\"text-align: right; padding: 0.2em 0.2em; min-width: 3em;\"><strong>10<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>407<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">number theory: prime factorization, cases and logic<\/div>\n<\/div>\n<div style=\"display: flex;  align-items: top;\">\n<div style=\"text-align: right; padding: 0.2em 0.2em; min-width: 3em;\"><strong>11<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>510<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra: cases and function composition<\/div>\n<\/div>\n<div style=\"display: flex;  align-items: top;\">\n<div style=\"text-align: right; padding: 0.2em 0.2em; min-width: 3em;\"><strong>12<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>270<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">number theory: binomial theorem or lifting the exponent<\/div>\n<\/div>\n<div style=\"display: flex;  align-items: top;\">\n<div style=\"text-align: right; padding: 0.2em 0.2em; min-width: 3em;\"><strong>13<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>036<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry: angle bisectors, incircles and circumcircles<\/div>\n<\/div>\n<div style=\"display: flex;  align-items: top;\">\n<div style=\"text-align: right; padding: 0.2em 0.2em; min-width: 3em;\"><strong>14<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>085<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra: quadratics and factor theorem<\/div>\n<\/div>\n<div style=\"display: flex;  align-items: top;\">\n<div style=\"text-align: right; padding: 0.2em 0.2em; min-width: 3em;\"><strong>15<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>058<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry: circumcircles, tangents, and transformations<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<p><strong>Want to practice more AMC and AIME Problems?<\/strong> Check out the <a href=\"https:\/\/ziml.areteem.org\/ziml\/practicecontests.php?p=AIME\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (opens in a new tab)\">Zoom International Math League (ZIML) practice page here<\/a> for practice resources, including Mock Exams and old Exams. The 2020 AIME I Problems are available <a rel=\"noreferrer noopener\" aria-label=\" (opens in a new tab)\" href=\"https:\/\/ziml.areteem.org\/zimlresources\/AIME\/ZIML_Download_2020_AIME_I.pdf\" target=\"_blank\">as a PDF by clicking here<\/a>.<\/p>\n\n\n\n<p>The AIME I exam is administered by the Mathematical Association of America (MAA). Students are invited to take the AIME based on their scores for the AMC 10 and 12 exams. For general information about the AMC 10 and 12, <a href=\"https:\/\/areteem.org\/blog\/amc-10-12-all-you-need-to-know\/\">click here<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Answers to the 2020 AIME I Exam are available now. See all the answers and problem types from the 2020 exam!<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[87],"tags":[123,125,126,136,137,147,148],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v15.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>2020 AIME I Answer Key Released - Areteem Institute Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/areteem.org\/blog\/2020-aime-i-answer-key-released\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"2020 AIME I Answer Key Released - Areteem Institute Blog\" \/>\n<meta property=\"og:description\" content=\"Answers to the 2020 AIME I Exam are available now. 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