{"id":2449,"date":"2022-11-11T09:02:30","date_gmt":"2022-11-11T17:02:30","guid":{"rendered":"https:\/\/areteem.org\/blog\/?p=2449"},"modified":"2022-11-11T09:06:04","modified_gmt":"2022-11-11T17:06:04","slug":"2022-amc-10a-amc-12a-answer-key-released","status":"publish","type":"post","link":"https:\/\/areteem.org\/blog\/2022-amc-10a-amc-12a-answer-key-released\/","title":{"rendered":"2022 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. It was great to be able to have students back onsite taking the exam!<\/p>\n\n\n\n

The problems can now be discussed! See below for answer keys and concepts tested for every problem on the 2022 AMC 10A and AMC 12A held on November 10th, 2022.<\/p>\n\n\n\n

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

\n
1<\/strong><\/div>\n
D<\/strong><\/div>\n
arithmetic, fractions, and reciprocals<\/div>\n<\/div>\n
\n
2<\/strong><\/div>\n
B<\/strong><\/div>\n
speeds, ratios, and estimation<\/div>\n<\/div>\n
\n
3<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: multiples, differences, and linear equations<\/div>\n<\/div>\n
\n
4<\/strong><\/div>\n
E<\/strong><\/div>\n
rates, units, and conversions<\/div>\n<\/div>\n
\n
5<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: polygons, perimeter, and special triangles<\/div>\n<\/div>\n
\n
6<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: absolute values and square roots<\/div>\n<\/div>\n
\n
7<\/strong><\/div>\n
B<\/strong><\/div>\n
number theory: GCDs, LCMs, and factors<\/div>\n<\/div>\n
\n
8<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: averages and multiples<\/div>\n<\/div>\n
\n
9<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: counting carefully<\/div>\n<\/div>\n
\n
10<\/strong><\/div>\n
E<\/strong><\/div>\n
geometry: diagonals and Pythagorean theorem<\/div>\n<\/div>\n
\n
11<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: rules of exponents and radicals<\/div>\n<\/div>\n
\n
12<\/strong><\/div>\n
A<\/strong><\/div>\n
combinatorics: logic and expressions<\/div>\n<\/div>\n
\n
13<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: angle bisectors, parallel lines, and trapezoids<\/div>\n<\/div>\n
\n
14<\/strong><\/div>\n
E<\/strong><\/div>\n
combinatorics: counting, logic, and careful thinking<\/div>\n<\/div>\n<\/div>\n
\n\n
\n
15<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: circles, triangles, and Pythagorean triples<\/div>\n<\/div>\n
\n
16<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: polynomials and Vieta’s theorem<\/div>\n<\/div>\n
\n
17<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra and number theory: repeated decimals and Diophantine equations<\/div>\n<\/div>\n
\n
18<\/strong><\/div>\n
A<\/strong><\/div>\n
geometry: transformations, rotations, and multiples<\/div>\n<\/div>\n
\n
19<\/strong><\/div>\n
C<\/strong><\/div>\n
number theory and algebra: harmonic series, LCMs, and remainders<\/div>\n<\/div>\n
\n
20<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: arithmetic and geometric sequences, differences, and equations<\/div>\n<\/div>\n
\n
21<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: solid geometry, polygons, and symmetry<\/div>\n<\/div>\n
\n
22<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: careful thinking, subsets, and complementary counting<\/div>\n<\/div>\n
\n
23<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: trapezoids, Pythagorean theorem, and coordinates<\/div>\n<\/div>\n
\n
24<\/strong><\/div>\n
E<\/strong><\/div>\n
combinatorics: permutations, partitions, and cases<\/div>\n<\/div>\n
\n
25<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra and geometry: lattice points, “areas”, ratios, and equations<\/div>\n<\/div>\n<\/div><\/div>\n\n

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

\n
1<\/strong><\/div>\n
D<\/strong><\/div>\n
arithmetic, fractions, and reciprocals<\/div>\n<\/div>\n
\n
2<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: multiples, differences, and linear equations<\/div>\n<\/div>\n
\n
3<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: areas and perimeters<\/div>\n<\/div>\n
\n
4<\/strong><\/div>\n
B<\/strong><\/div>\n
number theory: GCDs, LCMs, and factors<\/div>\n<\/div>\n
\n
5<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: lattice points, counting, and symmetry<\/div>\n<\/div>\n
\n
6<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: averages and multiples<\/div>\n<\/div>\n
\n
7<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: counting carefully<\/div>\n<\/div>\n
\n
8<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: exponents, radicals, and geometric series<\/div>\n<\/div>\n
\n
9<\/strong><\/div>\n
A<\/strong><\/div>\n
combinatorics: logic and expressions<\/div>\n<\/div>\n
\n
10<\/strong><\/div>\n
E<\/strong><\/div>\n
combinatorics: counting and careful thinking<\/div>\n<\/div>\n
\n
11<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: rules of logarithms and equations<\/div>\n<\/div>\n
\n
12<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: 3D geometry, angles, law of cosines<\/div>\n<\/div>\n
\n
13<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra and geometry: complex numbers, magnitudes, and areas<\/div>\n<\/div>\n
\n
14<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: logarithms, substitutions, and factoring<\/div>\n<\/div>\n<\/div>\n
\n
\n
15<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: polynomials and Vieta’s theorem<\/div>\n<\/div>\n
\n
16<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: factors and perfect squares<\/div>\n<\/div>\n
\n
17<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: trigonometry, identities, and graphing<\/div>\n<\/div>\n
\n
18<\/strong><\/div>\n
A<\/strong><\/div>\n
geometry: transformations, rotations, and multiples<\/div>\n<\/div>\n
\n
19<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: careful thinking, subsets, and complementary counting<\/div>\n<\/div>\n
\n
20<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: trapezoids, Pythagorean theorem, and coordinates<\/div>\n<\/div>\n
\n
21<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: polynomials, quotients and remainders, and roots of unity<\/div>\n<\/div>\n
\n
22<\/strong><\/div>\n
A<\/strong><\/div>\n
geometry and algebra: complex numbers, conjugates, and areas<\/div>\n<\/div>\n
\n
23<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory and algebra: LCMs, GCDs, and harmonic numbers<\/div>\n<\/div>\n
\n
24<\/strong><\/div>\n
E<\/strong><\/div>\n
combinatorics: permutations, partitions, and cases<\/div>\n<\/div>\n
\n
25<\/strong><\/div>\n
E<\/strong><\/div>\n
geometry and number theory: circles, tangents, Pythagorean triples, and factors<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n

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

AMC 10A<\/strong><\/td>AMC 12A<\/strong><\/td><\/tr>
1<\/td>1<\/td><\/tr>
3<\/td>2<\/td><\/tr>
7<\/td>4<\/td><\/tr>
8<\/td>6<\/td><\/tr>
9<\/td>7<\/td><\/tr>
12<\/td>9<\/td><\/tr>
14<\/td>10<\/td><\/tr>
16<\/td>15<\/td><\/tr>
18<\/td>18<\/td><\/tr>
22<\/td>19<\/td><\/tr>
23<\/td>20<\/td><\/tr>
24<\/td>24<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Want full solutions to all the 2022 AMC 10A & 12A questions?<\/strong> Our full solutions review video has you covered! Click here for registration and video access.<\/a> The 2022 AMC 10A and 12A problems will also be 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> 8 Week Preparation Courses start soon! 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 2022 AMC 10A and 12A Exams held November 10, 2022 are available now. See all the answers and problem types from the exams!<\/p>\n","protected":false},"author":11,"featured_media":2450,"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":"\n2022 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\/2022-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=\"2022 AMC 10A & AMC 12A Answer Key Released - Areteem Institute Blog\" \/>\n<meta property=\"og:description\" content=\"Answers to the 2022 AMC 10A and 12A Exams held November 10, 2022 are available now. 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