{"id":2726,"date":"2025-02-13T12:46:14","date_gmt":"2025-02-13T20:46:14","guid":{"rendered":"https:\/\/areteem.org\/blog\/?p=2726"},"modified":"2025-02-13T12:46:16","modified_gmt":"2025-02-13T20:46:16","slug":"2025-aime-ii-answer-key-released","status":"publish","type":"post","link":"https:\/\/areteem.org\/blog\/2025-aime-ii-answer-key-released\/","title":{"rendered":"2025 AIME II Answer Key Released"},"content":{"rendered":"\n<p>This year&#8217;s AIME II was held on February 12th, 2025. 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 2025 AIME II 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>468<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry: triangles, areas, 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>2<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>049<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">number theory: polynomial long division or factoring, and 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>3<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>082<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">combinatorics: counting 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>4<\/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;\">algebra: logarithms, change of base, and factoring<\/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>336<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry: triangles, circumcircles, inscribed angles, and angle chasing<\/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>293<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry and algebra: tangent circles, triangles, Pythagorean theorem, 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>7<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>237<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">combinatorics: factors, subsets, complementary counting, and principle of inclusion-exclusion<\/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>610<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">number theory and combinatorics: greedy algorithms, making change, and patterns<\/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>149<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra: trigonometry, graphs,maximums and minimums, and tangents<\/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>907<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">combinatorics: groups and spacing, stars and bars, 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>11<\/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;\">combinatorics: counting, polygons, diagonals, 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>12<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>019<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">geometry: congruent triangles, areas, perimeters, Law of Cosines, 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>13<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>248<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra and number theory: recursive sequences, patterns, modular arithmetic, and Chinese Remainder 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: symmetry, construction, equilateral triangles, and isosceles 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>15<\/strong><\/div>\n<div style=\"text-align: center; padding: 0.2em 0.2em; min-width: 3em;\"><strong>240<\/strong><\/div>\n<div style=\"padding: 0.2em 0.5em;\">algebra: polynomials, minimums, quadratics, and factoring<\/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 an archive of old Exams.<\/p>\n\n\n\n<p><strong>Preparing for the 2025 USA(J)MO?<\/strong> Join Areteem&#8217;s Sprint course to review before the exam. <a href=\"https:\/\/programs.areteem.org\/product\/2025-usajmo-sprint-course\" target=\"_blank\" rel=\"noreferrer noopener\">Learn more and register 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 2025 AIME II Exam are available now. See all the answers and problem types from the 2025 exam!<\/p>\n","protected":false},"author":11,"featured_media":2728,"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>2025 AIME II 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\/2025-aime-ii-answer-key-released\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"2025 AIME II Answer Key Released - Areteem Institute Blog\" \/>\n<meta property=\"og:description\" content=\"Answers to the 2025 AIME II Exam are available now. See all the answers and problem types from the 2025 exam!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/areteem.org\/blog\/2025-aime-ii-answer-key-released\/\" \/>\n<meta property=\"og:site_name\" content=\"Areteem Institute Blog\" \/>\n<meta property=\"article:published_time\" content=\"2025-02-13T20:46:14+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-02-13T20:46:16+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/areteem.org\/blog\/wp-content\/uploads\/2025\/02\/2025AIMEIIAns.png\" \/>\n\t<meta property=\"og:image:width\" content=\"560\" \/>\n\t<meta property=\"og:image:height\" content=\"315\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\">\n\t<meta name=\"twitter:data1\" content=\"2 minutes\">\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/areteem.org\/blog\/#website\",\"url\":\"https:\/\/areteem.org\/blog\/\",\"name\":\"Areteem Institute Blog\",\"description\":\"Challenging Talented Minds\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":\"https:\/\/areteem.org\/blog\/?s={search_term_string}\",\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/areteem.org\/blog\/2025-aime-ii-answer-key-released\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/areteem.org\/blog\/wp-content\/uploads\/2025\/02\/2025AIMEIIAns.png\",\"width\":560,\"height\":315},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/areteem.org\/blog\/2025-aime-ii-answer-key-released\/#webpage\",\"url\":\"https:\/\/areteem.org\/blog\/2025-aime-ii-answer-key-released\/\",\"name\":\"2025 AIME II Answer Key Released - Areteem Institute Blog\",\"isPartOf\":{\"@id\":\"https:\/\/areteem.org\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/areteem.org\/blog\/2025-aime-ii-answer-key-released\/#primaryimage\"},\"datePublished\":\"2025-02-13T20:46:14+00:00\",\"dateModified\":\"2025-02-13T20:46:16+00:00\",\"author\":{\"@id\":\"https:\/\/areteem.org\/blog\/#\/schema\/person\/02237852b45e7c235c18cdedabc005ba\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/areteem.org\/blog\/2025-aime-ii-answer-key-released\/\"]}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/areteem.org\/blog\/#\/schema\/person\/02237852b45e7c235c18cdedabc005ba\",\"name\":\"John Lensmire\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/areteem.org\/blog\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/31ef7aa2dde40e811a9678448e86a934?s=96&d=mm&r=g\",\"caption\":\"John Lensmire\"},\"description\":\"Lifelong learner in math and science. Director of Curriculum and Instruction at Areteem Institute.\",\"sameAs\":[\"http:\/\/www.areteem.org\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","_links":{"self":[{"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/posts\/2726"}],"collection":[{"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/comments?post=2726"}],"version-history":[{"count":2,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/posts\/2726\/revisions"}],"predecessor-version":[{"id":2729,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/posts\/2726\/revisions\/2729"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/media\/2728"}],"wp:attachment":[{"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/media?parent=2726"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/categories?post=2726"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/tags?post=2726"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}