{"id":2660,"date":"2024-02-02T13:53:53","date_gmt":"2024-02-02T21:53:53","guid":{"rendered":"https:\/\/areteem.org\/blog\/?p=2660"},"modified":"2024-02-02T13:58:53","modified_gmt":"2024-02-02T21:58:53","slug":"2024-aime-i-answer-key-released","status":"publish","type":"post","link":"https:\/\/areteem.org\/blog\/2024-aime-i-answer-key-released\/","title":{"rendered":"2024 AIME I Answer Key Released"},"content":{"rendered":"\n<p>This years AIME I was February 1st, 2024. Middle school and high school students who qualified through the AMC 10 and AMC 12 were able to compete. Congrats to everyone who participated!<\/p>\n\n\n\n<p>The problems can now be discussed! See below for the answer key for the 2024 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>204<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra: motion, system of equations, and quadratics<\/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>025<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra: logarithms and change of base<\/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>809<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">games: winning and losing positions, patterns, and modular arithmetic<\/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>116<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">combinatorics: subsets, conditional probability, and Bayes&#8217; 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>5<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>104<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry: cyclic quadrilaterals, similar triangles, 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>294<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">combinatorics: counting, paths, bijections, and 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>7<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>540<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra: complex numbers, inequalities, and trigonometry<\/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>197<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry: inscribed circles, trigonometry, patterns, and equations<\/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>480<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra and geometry: hyperbolas, rhombi, and inequalities<\/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>113<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry: circles, similar triangles, and Stewart&#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>11<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>371<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">combinatorics: counting, probability, symmetry, cases, and careful thinking<\/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>385*<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra: absolute values, trigonometry, graphing, 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>13<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>110<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">number theory: modular arithmetic, multiplicative order, and binomial 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>14<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>104<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry: tetrahedra, inscribed polyhedra, volumes, surface areas, and circumradii of polyhedra<\/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>721<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra and geometry: surface area and volume, circumradii of boxes, Vieta&#8217;s formulas, and inequalities<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<p><strong>Note on Question 12:<\/strong> As of 2\/2\/2024, 384 is the answer in the official MAA portal. The correct answer should be 385. We will update this post once we hear an official update from the MAA.<\/p>\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 an archive of 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 2024 AIME I Exam are available now. See all the answers and problem types from the 2024 exam!<\/p>\n","protected":false},"author":11,"featured_media":2661,"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>2024 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\/2024-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=\"2024 AIME I Answer Key Released - Areteem Institute Blog\" \/>\n<meta property=\"og:description\" content=\"Answers to the 2024 AIME I Exam are available now. 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