{"id":2223,"date":"2021-02-05T11:52:47","date_gmt":"2021-02-05T19:52:47","guid":{"rendered":"https:\/\/areteem.org\/blog\/?p=2223"},"modified":"2021-04-22T14:55:31","modified_gmt":"2021-04-22T21:55:31","slug":"2021-amc-10a-amc-12a-answer-key-released","status":"publish","type":"post","link":"https:\/\/areteem.org\/blog\/2021-amc-10a-amc-12a-answer-key-released\/","title":{"rendered":"2021 AMC 10A & AMC 12A Answer Key Released"},"content":{"rendered":"\n

Yesterday, thousands of middle school and high school students participated in this year’s AMC 10A and 12A Competition. Hopefully everyone was able to take the exam safely, whether they took it online or in school!<\/p>\n\n\n\n

The problems can now be discussed! See below for answer keys for both the 2021 AMC 10A and AMC 12A questions as well as the concepts tested on each problem.<\/p>\n\n\n\n

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

\n
1<\/strong><\/div>\n
D<\/strong><\/div>\n
arithmetic and exponents<\/div>\n<\/div>\n
\n
2<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: ratios<\/div>\n<\/div>\n
\n
3<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: place values and arithmetic<\/div>\n<\/div>\n
\n
4<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: arithmetic sequences with motion<\/div>\n<\/div>\n
\n
5<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: averages<\/div>\n<\/div>\n
\n
6<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: motion<\/div>\n<\/div>\n
\n
7<\/strong><\/div>\n
D<\/strong><\/div>\n
logic and cases<\/div>\n<\/div>\n
\n
8<\/strong><\/div>\n
E<\/strong><\/div>\n
number theory: place values and repeating decimals<\/div>\n<\/div>\n
\n
9<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: factoring and minimums<\/div>\n<\/div>\n
\n
10<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: factoring and differences of squares<\/div>\n<\/div>\n
\n
11<\/strong><\/div>\n
E<\/strong><\/div>\n
number theory: bases and divisibility<\/div>\n<\/div>\n
\n
12<\/strong><\/div>\n
E<\/strong><\/div>\n
geometry: volumes and cones<\/div>\n<\/div>\n
\n
13<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: volumes and pyramids<\/div>\n<\/div>\n<\/div>
\n
14<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: polynomials and Vieta’s theorem<\/div>\n<\/div>\n
\n
15<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra and combinatorics: quadratics and cases<\/div>\n<\/div>\n
\n
16<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: arithmetic and medians<\/div>\n<\/div>\n
\n
17<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: areas and trapezoids<\/div>\n<\/div>\n
\n
18<\/strong><\/div>\n
E<\/strong><\/div>\n
number theory and algebra: prime factorizations and functions<\/div>\n<\/div>\n
\n
19<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra and geometry: absolute values, graphing, circles and areas<\/div>\n<\/div>\n
\n
20<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: cases and logic<\/div>\n<\/div>\n
\n
21<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: hexagons, equilateral triangles, and area<\/div>\n<\/div>\n
\n
22<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra and number theory: Diophantine equations<\/div>\n<\/div>\n
\n
23<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: cases and total probability<\/div>\n<\/div>\n
\n
24<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry and algebra: graphing, areas, parallelograms<\/div>\n<\/div>\n
\n
25<\/strong><\/div>\n
E<\/strong><\/div>\n
combinatorics: cases and symmetry<\/div>\n<\/div>\n<\/div><\/div>\n\n

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

\n
1<\/strong><\/div>\n
B<\/strong><\/div>\n
arithmetic and exponents<\/div>\n<\/div>\n
\n
2<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra and logic: square roots<\/div>\n<\/div>\n
\n
3<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: place values and arithmetic<\/div>\n<\/div>\n
\n
4<\/strong><\/div>\n
D<\/strong><\/div>\n
logic and cases<\/div>\n<\/div>\n
\n
5<\/strong><\/div>\n
E<\/strong><\/div>\n
number theory: place values and repeating decimals<\/div>\n<\/div>\n
\n
6<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: probability<\/div>\n<\/div>\n
\n
7<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: factoring and minimums<\/div>\n<\/div>\n
\n
8<\/strong><\/div>\n
C<\/strong><\/div>\n
number theory: sequences, parity, and patterns<\/div>\n<\/div>\n
\n
9<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: factoring and differences of squares<\/div>\n<\/div>\n
\n
10<\/strong><\/div>\n
E<\/strong><\/div>\n
geometry: volumes and cones<\/div>\n<\/div>\n
\n
11<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: coordinates, reflections, and distance<\/div>\n<\/div>\n
\n
12<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: polynomials and Vieta’s theorem<\/div>\n<\/div>\n
\n
13<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: complex numbers and powers<\/div>\n<\/div>\n<\/div>
\n
14<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: logarithms, sums and summation notation, patterns<\/div>\n<\/div>\n
\n
15<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: groups and cases<\/div>\n<\/div>\n
\n
16<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: arithmetic and medians<\/div>\n<\/div>\n
\n
17<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: areas and trapezoids<\/div>\n<\/div>\n
\n
18<\/strong><\/div>\n
E<\/strong><\/div>\n
number theory and algebra: prime factorizations and functions<\/div>\n<\/div>\n
\n
19<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: trigonometric functions<\/div>\n<\/div>\n
\n
20<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra and geometry: parabolas and distances<\/div>\n<\/div>\n
\n
21<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra and geometry: complex numbers, ellipses, and eccentricity<\/div>\n<\/div>\n
\n
22<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: trigonometric identities and Vieta’s theorem<\/div>\n<\/div>\n
\n
23<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: cases and total probability<\/div>\n<\/div>\n
\n
24<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: circles, tangents, and triangles<\/div>\n<\/div>\n
\n
25<\/strong><\/div>\n
E<\/strong><\/div>\n
number theory: prime factorizations and the divisor function<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n

In total, 11 questions appeared on both the AMC 10B and AMC 12B. They are listed below:<\/p>\n\n\n\n

AMC 10A<\/strong><\/td>AMC 12A<\/strong><\/td><\/tr>
3<\/td>3<\/td><\/tr>
7<\/td>4<\/td><\/tr>
8<\/td>5<\/td><\/tr>
9<\/td>7<\/td><\/tr>
10<\/td>9<\/td><\/tr>
12<\/td>10<\/td><\/tr>
14<\/td>12<\/td><\/tr>
16<\/td>16<\/td><\/tr>
17<\/td>17<\/td><\/tr>
18<\/td>18<\/td><\/tr>
23<\/td>23<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Want full solutions to all the 2021 AMC 10A & 12A questions?<\/strong> Our full solutions review video has you covered! Click here for registration.<\/a> The 2021 AMC 10A and 12A 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

Starting to prep for the AIME?<\/strong> Join our Online AIME Two Day workshop on February 14th and 15th to prepare for next month’s AIME. Click here for more details and registration<\/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 2021 AMC 10A and 12A Exams are available now. See all the answers and problem types from the 2021 exams!<\/p>\n","protected":false},"author":1,"featured_media":2231,"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":"\n2021 AMC 10A & AMC 12A 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-amc-10a-amc-12a-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 AMC 10A & AMC 12A Answer Key Released - Areteem Institute Blog\" \/>\n<meta property=\"og:description\" content=\"Answers to the 2021 AMC 10A and 12A Exams are available now. 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