{"id":2270,"date":"2021-03-11T12:12:08","date_gmt":"2021-03-11T20:12:08","guid":{"rendered":"https:\/\/areteem.org\/blog\/?p=2270"},"modified":"2021-04-22T14:55:39","modified_gmt":"2021-04-22T21:55:39","slug":"2021-aime-i-answer-key-released","status":"publish","type":"post","link":"https:\/\/areteem.org\/blog\/2021-aime-i-answer-key-released\/","title":{"rendered":"2021 AIME I Answer Key Released"},"content":{"rendered":"\n

Yesterday, selected middle school and high school students participated in this year’s AIME I Competition (including some students proctored by Areteem online). <\/p>\n\n\n\n

The problems can now be discussed! See below for the answer key for the 2021 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

\n
1<\/strong><\/div>\n
97<\/strong><\/div>\n
combinatorics: probability and independence<\/div>\n<\/div>\n
\n
2<\/strong><\/div>\n
109<\/strong><\/div>\n
geometry: areas, rectangles, and similar triangles<\/div>\n<\/div>\n
\n
3<\/strong><\/div>\n
50<\/strong><\/div>\n
number theory: counting, factoring, and cases<\/div>\n<\/div>\n
\n
4<\/strong><\/div>\n
331<\/strong><\/div>\n
combinatorics: counting, cases, and overcounting<\/div>\n<\/div>\n
\n
5<\/strong><\/div>\n
31<\/strong><\/div>\n
algebra: arithmetic sequences, factoring, and equations<\/div>\n<\/div>\n
\n
6<\/strong><\/div>\n
192<\/strong><\/div>\n
geometry: 3D space, points, distances, and equations<\/div>\n<\/div>\n
\n
7<\/strong><\/div>\n
63<\/strong><\/div>\n
algebra and number theory: trigonometric equations and mods<\/div>\n<\/div>\n
\n
8<\/strong><\/div>\n
57<\/strong><\/div>\n
algebra: absolute values, symmetry, and cases<\/div>\n<\/div>\n<\/div>
\n
9<\/strong><\/div>\n
567<\/strong><\/div>\n
geometry: trapezoids, similar triangles, and Ptolemy’s theorem<\/div>\n<\/div>\n
\n
10<\/strong><\/div>\n
59<\/strong><\/div>\n
number theory: recursive sequences, GCDs, and Euclidean Algorithm<\/div>\n<\/div>\n
\n
11<\/strong><\/div>\n
301<\/strong><\/div>\n
geometry: cyclic quadrilaterals, similar quadrilaterals, and areas<\/div>\n<\/div>\n
\n
12<\/strong><\/div>\n
19<\/strong><\/div>\n
combinatorics: expected values, states, and conditional expectation<\/div>\n<\/div>\n
\n
13<\/strong><\/div>\n
672<\/strong><\/div>\n
geometry: circles, radical axis, and triangles<\/div>\n<\/div>\n
\n
14<\/strong><\/div>\n
125<\/strong><\/div>\n
number theory: primes, divisors, and multiplicative orders<\/div>\n<\/div>\n
\n
15<\/strong><\/div>\n
285<\/strong><\/div>\n
algebra: equations for conics and factoring<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n

Want to practice more AMC and AIME Problems?<\/strong> Check out the Zoom International Math League (ZIML) practice page here<\/a> for practice resources, including Mock Exams and old Exams.<\/p>\n\n\n\n

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, click here<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"

Answers to the 2021 AIME I Exam are available now. See all the answers and problem types from the 2021 exam!<\/p>\n","protected":false},"author":1,"featured_media":2275,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[87],"tags":[123,125,126,136,137,147,148],"yoast_head":"\n2021 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\/2021-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=\"2021 AIME I Answer Key Released - Areteem Institute Blog\" \/>\n<meta property=\"og:description\" content=\"Answers to the 2021 AIME I Exam are available now. See all the answers and problem types from the 2021 exam!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/areteem.org\/blog\/2021-aime-i-answer-key-released\/\" \/>\n<meta property=\"og:site_name\" content=\"Areteem Institute Blog\" \/>\n<meta property=\"article:published_time\" content=\"2021-03-11T20:12:08+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-04-22T21:55:39+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/areteem.org\/blog\/wp-content\/uploads\/2021\/03\/AIME_AnswerKey_BlogPost.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\/2021-aime-i-answer-key-released\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/areteem.org\/blog\/wp-content\/uploads\/2021\/03\/AIME_AnswerKey_BlogPost.png\",\"width\":560,\"height\":315},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/areteem.org\/blog\/2021-aime-i-answer-key-released\/#webpage\",\"url\":\"https:\/\/areteem.org\/blog\/2021-aime-i-answer-key-released\/\",\"name\":\"2021 AIME I Answer Key Released - Areteem Institute Blog\",\"isPartOf\":{\"@id\":\"https:\/\/areteem.org\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/areteem.org\/blog\/2021-aime-i-answer-key-released\/#primaryimage\"},\"datePublished\":\"2021-03-11T20:12:08+00:00\",\"dateModified\":\"2021-04-22T21:55:39+00:00\",\"author\":{\"@id\":\"https:\/\/areteem.org\/blog\/#\/schema\/person\/54d56bfae62d14555f6efaca03696680\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/areteem.org\/blog\/2021-aime-i-answer-key-released\/\"]}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/areteem.org\/blog\/#\/schema\/person\/54d56bfae62d14555f6efaca03696680\",\"name\":\"Areteem\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/areteem.org\/blog\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/8801cf797f125863cf7ec6e45b90f960?s=96&d=mm&r=g\",\"caption\":\"Areteem\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","_links":{"self":[{"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/posts\/2270"}],"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\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/comments?post=2270"}],"version-history":[{"count":3,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/posts\/2270\/revisions"}],"predecessor-version":[{"id":2274,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/posts\/2270\/revisions\/2274"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/media\/2275"}],"wp:attachment":[{"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/media?parent=2270"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/categories?post=2270"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/tags?post=2270"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}