{"id":1923,"date":"2020-02-06T14:56:11","date_gmt":"2020-02-06T22:56:11","guid":{"rendered":"https:\/\/areteem.org\/blog\/?p=1923"},"modified":"2021-04-22T14:56:50","modified_gmt":"2021-04-22T21:56:50","slug":"2020-amc-10b-amc-12b-answer-key-released","status":"publish","type":"post","link":"https:\/\/areteem.org\/blog\/2020-amc-10b-amc-12b-answer-key-released\/","title":{"rendered":"2020 AMC 10B & AMC 12B Answer Key Released"},"content":{"rendered":"\n

Yesterday, thousands of middle school and high school students participated in this year’s AMC 10B and 12B Competition (including some students at Areteem Headquarters seen below). <\/p>\n\n\n\n

\"\"<\/a>
Students taking the AMC 10B and 12B tests at Areteem Headquarters on February 5th, 2020.<\/figcaption><\/figure><\/div>\n\n\n\n

The problems can now be discussed! See below for answer keys for both the 2020 AMC 10B and AMC 12B questions as well as the concepts tested on each problem.<\/p>\n\n\n\n

AMC 10B Answers<\/strong><\/p>\n\n

\n
1<\/strong><\/div>\n
D<\/strong><\/div>\n
arithmetic and negative numbers<\/div>\n<\/div>\n
\n
2<\/strong><\/div>\n
E<\/strong><\/div>\n
geometry: cubes and volumes<\/div>\n<\/div>\n
\n
3<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: ratios<\/div>\n<\/div>\n
\n
4<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry and number theory: primes numbers and angles in triangles<\/div>\n<\/div>\n
\n
5<\/strong><\/div>\n
B<\/strong><\/div>\n
combinatorics: permutations with repeated objects<\/div>\n<\/div>\n
\n
6<\/strong><\/div>\n
B<\/strong><\/div>\n
motion and palindromes<\/div>\n<\/div>\n
\n
7<\/strong><\/div>\n
A<\/strong><\/div>\n
number theory: LCMs and perfect squares<\/div>\n<\/div>\n
\n
8<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: right triangles and areas<\/div>\n<\/div>\n
\n
9<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: diophantine equations<\/div>\n<\/div>\n
\n
10<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: cones and volumes, lateral surfaces<\/div>\n<\/div>\n
\n
11<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: probability<\/div>\n<\/div>\n
\n
12<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: place values and arithmetic<\/div>\n<\/div>\n
\n
13<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: coordinates and patterns<\/div>\n<\/div>\n<\/div>
\n
14<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: areas, hexagons, and circles<\/div>\n<\/div>\n
\n
15<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: patterns and multiples<\/div>\n<\/div>\n
\n
16<\/strong><\/div>\n
A<\/strong><\/div>\n
logic and game theory<\/div>\n<\/div>\n
\n
17<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: cases and logic<\/div>\n<\/div>\n
\n
18<\/strong><\/div>\n
B<\/strong><\/div>\n
combinatorics: probability and repetition<\/div>\n<\/div>\n
\n
19<\/strong><\/div>\n
A<\/strong><\/div>\n
number theory: computation and modular arithmetic<\/div>\n<\/div>\n
\n
20<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: volumes, prisms, cylinders, and spheres<\/div>\n<\/div>\n
\n
21<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: areas, squares, right triangles<\/div>\n<\/div>\n
\n
22<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: remainders, divisibility, and factoring<\/div>\n<\/div>\n
\n
23<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: composing transformations<\/div>\n<\/div>\n
\n
24<\/strong><\/div>\n
C<\/strong><\/div>\n
number theory: floor function and equations<\/div>\n<\/div>\n
\n
25<\/strong><\/div>\n
A<\/strong><\/div>\n
combinatorics: permutations of products, cases, and patterns<\/div>\n<\/div>\n<\/div><\/div>\n\n

AMC 12B Answers<\/strong><\/p>\n

\n
1<\/strong><\/div>\n
C<\/strong><\/div>\n
arithmetic and square roots<\/div>\n<\/div>\n
\n
2<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: arithmetic and factoring<\/div>\n<\/div>\n
\n
3<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: ratios<\/div>\n<\/div>\n
\n
4<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry and number theory: primes numbers and angles in triangles<\/div>\n<\/div>\n
\n
5<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: ratios and equations<\/div>\n<\/div>\n
\n
6<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: factoring and simplifying<\/div>\n<\/div>\n
\n
7<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: slopes, angles, and trigonometry<\/div>\n<\/div>\n
\n
8<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: diophantine equations<\/div>\n<\/div>\n
\n
9<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: cones and volumes, lateral surfaces<\/div>\n<\/div>\n
\n
10<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: squares, inscribed circles, and power of a point<\/div>\n<\/div>\n
\n
11<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: areas, hexagons, and circles<\/div>\n<\/div>\n
\n
12<\/strong><\/div>\n
E<\/strong><\/div>\n
geometry: circles, chords, and power of a point<\/div>\n<\/div>\n
\n
13<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: logarithms and square roots<\/div>\n<\/div>\n<\/div>
\n
14<\/strong><\/div>\n
A<\/strong><\/div>\n
logic and game theory<\/div>\n<\/div>\n
\n
15<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: cases and logic<\/div>\n<\/div>\n
\n
16<\/strong><\/div>\n
B<\/strong><\/div>\n
combinatorics: probability and repetition<\/div>\n<\/div>\n
\n
17<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: polynomials, roots, and complex numbers<\/div>\n<\/div>\n
\n
18<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: areas, squares, right triangles<\/div>\n<\/div>\n
\n
19<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: composing transformations<\/div>\n<\/div>\n
\n
20<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: probability, coloring cubes<\/div>\n<\/div>\n
\n
21<\/strong><\/div>\n
C<\/strong><\/div>\n
number theory: floor function and equations<\/div>\n<\/div>\n
\n
22<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: maximums, AM-GM inequality<\/div>\n<\/div>\n
\n
23<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: complex numbers and polar coordinates<\/div>\n<\/div>\n
\n
24<\/strong><\/div>\n
A<\/strong><\/div>\n
combinatorics: permutations of products, cases, and patterns<\/div>\n<\/div>\n
\n
25<\/strong><\/div>\n
B<\/strong><\/div>\n
combinatorics: geometric probability, trigonometric functions, and maximums<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n

In total 12 questions appeared on both the AMC 10B and AMC 12B. They are listed below:<\/p>\n\n\n\n
AMC 10B<\/strong><\/td>AMC 12B<\/strong><\/td><\/tr>
3<\/td>3<\/td><\/tr>
4<\/td>4<\/td><\/tr>
9<\/td>8<\/td><\/tr>
10<\/td>9<\/td><\/tr>
14<\/td>11<\/td><\/tr>
16<\/td>14<\/td><\/tr>
17<\/td>15<\/td><\/tr>
18<\/td>16<\/td><\/tr>
21<\/td>18<\/td><\/tr>
23<\/td>19<\/td><\/tr>
24<\/td>21<\/td><\/tr>
25<\/td>24<\/td><\/tr><\/tbody><\/table>\n\n\n\n

Starting to prep for the AIME?<\/strong> Join one of Areteem’s AIME Prep courses to prepare for next month’s AIME. Click here for more details and registration<\/a>. For answers to this year’s AMC 10A and 12A exams, click here<\/a>. The 2020 AMC 10B and 12B problems are available on the ZIML site along with previous exams. Click here for AMC 10<\/a> and here for AMC 12<\/a>.<\/p>\n\n\n\n

The AMC 10 and 12 exams are administered by the Mathematical Association of America (MAA). For general information about the AMC 10 and 12, click here<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"

Answers to the 2020 AMC 10B and 12B Exams 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":[123,125,126,137,147,148,151,152],"yoast_head":"\n2020 AMC 10B & AMC 12B 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-amc-10b-amc-12b-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 AMC 10B & AMC 12B Answer Key Released - Areteem Institute Blog\" \/>\n<meta property=\"og:description\" content=\"Answers to the 2020 AMC 10B and 12B Exams are available now. See all the answers and problem types from the 2020 exam!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/areteem.org\/blog\/2020-amc-10b-amc-12b-answer-key-released\/\" \/>\n<meta property=\"og:site_name\" content=\"Areteem Institute Blog\" \/>\n<meta property=\"article:published_time\" content=\"2020-02-06T22:56:11+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-04-22T21:56:50+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/areteem.org\/blog\/wp-content\/uploads\/2020\/02\/AMC10B12B-300x225.jpg\" \/>\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\/2020-amc-10b-amc-12b-answer-key-released\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/areteem.org\/blog\/wp-content\/uploads\/2020\/02\/AMC10B12B.jpg\",\"width\":2566,\"height\":1928},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/areteem.org\/blog\/2020-amc-10b-amc-12b-answer-key-released\/#webpage\",\"url\":\"https:\/\/areteem.org\/blog\/2020-amc-10b-amc-12b-answer-key-released\/\",\"name\":\"2020 AMC 10B & AMC 12B Answer Key Released - Areteem Institute Blog\",\"isPartOf\":{\"@id\":\"https:\/\/areteem.org\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/areteem.org\/blog\/2020-amc-10b-amc-12b-answer-key-released\/#primaryimage\"},\"datePublished\":\"2020-02-06T22:56:11+00:00\",\"dateModified\":\"2021-04-22T21:56:50+00:00\",\"author\":{\"@id\":\"https:\/\/areteem.org\/blog\/#\/schema\/person\/54d56bfae62d14555f6efaca03696680\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/areteem.org\/blog\/2020-amc-10b-amc-12b-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\/1923"}],"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=1923"}],"version-history":[{"count":6,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/posts\/1923\/revisions"}],"predecessor-version":[{"id":1931,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/posts\/1923\/revisions\/1931"}],"wp:attachment":[{"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/media?parent=1923"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/categories?post=1923"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/areteem.org\/blog\/wp-json\/wp\/v2\/tags?post=1923"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}