{"id":2523,"date":"2023-02-08T10:54:34","date_gmt":"2023-02-08T18:54:34","guid":{"rendered":"https:\/\/areteem.org\/blog\/?p=2523"},"modified":"2023-02-08T10:54:36","modified_gmt":"2023-02-08T18:54:36","slug":"2023-aime-i-answer-key-released","status":"publish","type":"post","link":"https:\/\/areteem.org\/blog\/2023-aime-i-answer-key-released\/","title":{"rendered":"2023 AIME I Answer Key Released"},"content":{"rendered":"\n<p>On February 7th, 2023, select middle school and high school students participated in this year&#8217;s AIME I Competition. <\/p>\n\n\n\n<p>The problems can now be discussed! See below for the answer key for the 2023 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>191<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">combinatorics: pairs, permutations, and probability<\/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>881<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra: logarithms and systems of equations<\/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>607<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry and combinatorics: intersecting lines and overcounting<\/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>12<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">number theory: factors, squares, and sum of factors<\/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>106<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry: cyclic quadrilaterals, areas, and equations<\/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>51<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">combinatorics: probability, logic, and expected value<\/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>49<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">number theory: remainders, modular arithmetic, and counting<\/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>125<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry: rhombii, incircles, angle bisectors, and trigonometry<\/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>738<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra and combinatorics: cubics, graphing, and Vieta&#8217;s 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>10<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>944<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra: sums, floor function, remainders, and estimation<\/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>235<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">combinatorics: counting, subsets, and recursions<\/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>75<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry: trigonometry, cyclic quadrilaterals, and area methods<\/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>125<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry: solids, rhombii, parallelepipeds, and volumes<\/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>608<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">combinatorics and number theory: counting, sequences, remainders, and bijections<\/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>349<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra and number theory: complex numbers, primes, and triangle inequality<\/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 aria-label=\" (opens in a new tab)\" href=\"https:\/\/ziml.areteem.org\/ziml\/practicecontests.php?p=AIME\" target=\"_blank\" rel=\"noreferrer noopener\">Zoom International Math League (ZIML) practice page here<\/a> for practice resources, including Mock Exams and old Exams.<\/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 2023 AIME I Exam are available now. See all the answers and problem types from the 2023 exam!<\/p>\n","protected":false},"author":11,"featured_media":2525,"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>2023 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\/2023-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=\"2023 AIME I Answer Key Released - Areteem Institute Blog\" \/>\n<meta property=\"og:description\" content=\"Answers to the 2023 AIME I Exam are available now. 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