{"id":2454,"date":"2022-11-17T09:31:01","date_gmt":"2022-11-17T17:31:01","guid":{"rendered":"https:\/\/areteem.org\/blog\/?p=2454"},"modified":"2022-11-17T09:31:03","modified_gmt":"2022-11-17T17:31:03","slug":"2022-amc-10b-amc-12b-answer-key-released","status":"publish","type":"post","link":"https:\/\/areteem.org\/blog\/2022-amc-10b-amc-12b-answer-key-released\/","title":{"rendered":"2022 AMC 10B & AMC 12B Answer Key Released"},"content":{"rendered":"\n

Middle school and high school students competed across the world in the AMC 10B and 12B Competition yesterday! Congrats to all who participated!<\/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 10B and AMC 12B held on November 16th, 2022.<\/p>\n\n\n\n

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

\n
1<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: absolute values and arithmetic<\/div>\n<\/div>\n
\n
2<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: areas and Pythagorean triples<\/div>\n<\/div>\n
\n
3<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: counting, digits, and cases<\/div>\n<\/div>\n
\n
4<\/strong><\/div>\n
A<\/strong><\/div>\n
arithmetic: units and conversions<\/div>\n<\/div>\n
\n
5<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra and arithmetic: radicals, fractions, and difference of squares<\/div>\n<\/div>\n
\n
6<\/strong><\/div>\n
A<\/strong><\/div>\n
arithmetic and number theory: primes, multiplication, and factoring<\/div>\n<\/div>\n
\n
7<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: quadratics, Vieta’s theorem, and factors<\/div>\n<\/div>\n
\n
8<\/strong><\/div>\n
B<\/strong><\/div>\n
number theory: multiples, patterns, and counting<\/div>\n<\/div>\n
\n
9<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: sums, factorials, and patterns<\/div>\n<\/div>\n
\n
10<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: statistics (mean, median, and mode) and equations<\/div>\n<\/div>\n
\n
11<\/strong><\/div>\n
B<\/strong><\/div>\n
logic: equivalent statements and negation<\/div>\n<\/div>\n
\n
12<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: probability, dice sums, and complementary counting<\/div>\n<\/div>\n
\n
13<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra and number theory: primes, factoring, and prime factorizations<\/div>\n<\/div>\n<\/div>
\n
14<\/strong><\/div>\n
B<\/strong><\/div>\n
combinatorics: subsets, logic, and sums<\/div>\n<\/div>\n
\n
15<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: arithmetic sequences and series<\/div>\n<\/div>\n
\n
16<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: areas, similar triangles, Pythagorean triples<\/div>\n<\/div>\n
\n
17<\/strong><\/div>\n
C<\/strong><\/div>\n
number theory: divisibility, modular arithmetic, patterns<\/div>\n<\/div>\n
\n
18<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra and combinatorics: systems of equations, cases, and counting<\/div>\n<\/div>\n
\n
19<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: counting, thinking carefully, and cases<\/div>\n<\/div>\n
\n
20<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: angles, parallelograms, and cyclic quadrilaterals<\/div>\n<\/div>\n
\n
21<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: polynomials, quotients and remainders, and systems of equations<\/div>\n<\/div>\n
\n
22<\/strong><\/div>\n
E<\/strong><\/div>\n
geometry: tangent circles and graphs<\/div>\n<\/div>\n
\n
23<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: geometric probability, law of total probability<\/div>\n<\/div>\n
\n
24<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: slopes, absolute values, and inequalities<\/div>\n<\/div>\n
\n
25<\/strong><\/div>\n
A<\/strong><\/div>\n
number theory: modular arithmetic and patterns<\/div>\n<\/div>\n<\/div><\/div>\n\n

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

\n
1<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: absolute values and arithmetic<\/div>\n<\/div>\n
\n
2<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: areas and Pythagorean triples<\/div>\n<\/div>\n
\n
3<\/strong><\/div>\n
A<\/strong><\/div>\n
arithmetic and number theory: primes, multiplication, and factoring<\/div>\n<\/div>\n
\n
4<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: quadratics, Vieta’s theorem, and factors<\/div>\n<\/div>\n
\n
5<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: coordinates and rotations<\/div>\n<\/div>\n
\n
6<\/strong><\/div>\n
B<\/strong><\/div>\n
number theory: multiples, patterns, and counting<\/div>\n<\/div>\n
\n
7<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: statistics (mean, median, and mode) and equations<\/div>\n<\/div>\n
\n
8<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: factoring, conics, and graphing<\/div>\n<\/div>\n
\n
9<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: arithmetic sequences and logarithms<\/div>\n<\/div>\n
\n
10<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: hexagons, perimeter, and Law of Cosines<\/div>\n<\/div>\n
\n
11<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: complex numbers, polar form, and De Moivre’s Theorem<\/div>\n<\/div>\n
\n
12<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: probability and cases<\/div>\n<\/div>\n
\n
13<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: areas, similar triangles, Pythagorean triples<\/div>\n<\/div>\n<\/div>
\n
14<\/strong><\/div>\n
E<\/strong><\/div>\n
geometry and algebra: intercepts, trigonometry, and identities<\/div>\n<\/div>\n
\n
15<\/strong><\/div>\n
C<\/strong><\/div>\n
number theory: divisibility, modular arithmetic, patterns<\/div>\n<\/div>\n
\n
16<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: logarithms, simplification, and substitution<\/div>\n<\/div>\n
\n
17<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: careful thinking, symmetry, and permutations<\/div>\n<\/div>\n
\n
18<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: counting, thinking carefully, and cases<\/div>\n<\/div>\n
\n
19<\/strong><\/div>\n
A<\/strong><\/div>\n
geometry: medians, centroids, and Law of Cosines<\/div>\n<\/div>\n
\n
20<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: polynomials, quotients and remainders, and systems of equations<\/div>\n<\/div>\n
\n
21<\/strong><\/div>\n
E<\/strong><\/div>\n
geometry: tangent circles and graphs<\/div>\n<\/div>\n
\n
22<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: geometric probability, law of total probability<\/div>\n<\/div>\n
\n
23<\/strong><\/div>\n
A<\/strong><\/div>\n
number theory: modular arithmetic and patterns<\/div>\n<\/div>\n
\n
24<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry and algebra: diagonals, complex numbers, and roots of unity<\/div>\n<\/div>\n
\n
25<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: areas, regular polygons, Law of Sines<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n

In total, 13 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>
2<\/td>2<\/td><\/tr>
6<\/td>3<\/td><\/tr>
7<\/td>4<\/td><\/tr>
8<\/td>6<\/td><\/tr>
10<\/td>7<\/td><\/tr>
16<\/td>13<\/td><\/tr>
17<\/td>15<\/td><\/tr>
19<\/td>18<\/td><\/tr>
21<\/td>20<\/td><\/tr>
22<\/td>21<\/td><\/tr>
23<\/td>22<\/td><\/tr>
25<\/td>23<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Want reviews of past AMC 10 and 12 questions questions?<\/strong> Check out our AMC 10+12 contest page. Click here for more information.<\/a> The 2022 AMC 10B and 12B 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 10B and 12B Exams held November 16, 2022 are available now. See all the answers and problem types from the exams!<\/p>\n","protected":false},"author":11,"featured_media":2456,"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 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\/2022-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=\"2022 AMC 10B & AMC 12B Answer Key Released - Areteem Institute Blog\" \/>\n<meta property=\"og:description\" content=\"Answers to the 2022 AMC 10B and 12B Exams held November 16, 2022 are available now. 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