{"id":2691,"date":"2024-11-07T10:30:08","date_gmt":"2024-11-07T18:30:08","guid":{"rendered":"https:\/\/areteem.org\/blog\/?p=2691"},"modified":"2024-11-07T10:32:56","modified_gmt":"2024-11-07T18:32:56","slug":"2024-amc-10a-amc-12a-answer-key-released","status":"publish","type":"post","link":"https:\/\/areteem.org\/blog\/2024-amc-10a-amc-12a-answer-key-released\/","title":{"rendered":"2024 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.<\/p>\n\n\n\n

The problems can now be discussed! See below for answer keys and concepts tested for every problem on the 2024 AMC 10A and AMC 12A held on November 6th, 2024.<\/p>\n\n\n\n

2024 AMC 10A Answers<\/strong><\/p>\n\n

\n
1<\/strong><\/div>\n
A<\/strong><\/div>\n
arithmetic: multiplication and patterns<\/div>\n<\/div>\n
\n
2<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: word problems and systems of equations<\/div>\n<\/div>\n
\n
3<\/strong><\/div>\n
B<\/strong><\/div>\n
number theory: primes and parity<\/div>\n<\/div>\n
\n
4<\/strong><\/div>\n
B<\/strong><\/div>\n
arithmetic: division and remainders<\/div>\n<\/div>\n
\n
5<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: prime factorization and factorials<\/div>\n<\/div>\n
\n
6<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: counting, swaps, and sorting<\/div>\n<\/div>\n
\n
7<\/strong><\/div>\n
B<\/strong><\/div>\n
number theory: prime factorization and careful thinking<\/div>\n<\/div>\n
\n
8<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: word problems, work, and ratios<\/div>\n<\/div>\n
\n
9<\/strong><\/div>\n
B<\/strong><\/div>\n
combinatorics: counting, combinations, and choosing teams<\/div>\n<\/div>\n
\n
10<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra and number theory: divisibility, arithmetic, and patterns<\/div>\n<\/div>\n
\n
11<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: Diophantine equations, completing the rectangle, and factors<\/div>\n<\/div>\n
\n
12<\/strong><\/div>\n
E<\/strong><\/div>\n
arithmetic: daily change, bar graphs, and averages<\/div>\n<\/div>\n
\n
13<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: transformations and commutativity<\/div>\n<\/div>\n<\/div>
\n
14<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: areas, triangles, circles, and tangents<\/div>\n<\/div>\n
\n
15<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra and number theory: equations, difference of squares, and units digits<\/div>\n<\/div>\n
\n
16<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: similar rectangles and ratio of areas and side lengths<\/div>\n<\/div>\n
\n
17<\/strong><\/div>\n
E<\/strong><\/div>\n
combinatorics: probability, cases, and equations<\/div>\n<\/div>\n
\n
18<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: number bases and modular arithmetic<\/div>\n<\/div>\n
\n
19<\/strong><\/div>\n
E<\/strong><\/div>\n
number theory: prime factorization, factors, and geometric sequences<\/div>\n<\/div>\n
\n
20<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: subsets, patterns, and construction<\/div>\n<\/div>\n
\n
21<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: arithmetic sequences, symmetry, and system of equations<\/div>\n<\/div>\n
\n
22<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: polygons, areas, and 30-60-90 triangles<\/div>\n<\/div>\n
\n
23<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: Diophantine equations, differences, and factoring<\/div>\n<\/div>\n
\n
24<\/strong><\/div>\n
B<\/strong><\/div>\n
combinatorics: probability, spatial reasoning, and cases<\/div>\n<\/div>\n
\n
25<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: counting, loops, careful thinking, and cases<\/div>\n<\/div>\n<\/div><\/div>\n\n

2024 AMC 12A Answers<\/strong><\/p>\n\n

\n
1<\/strong><\/div>\n
A<\/strong><\/div>\n
arithmetic: multiplication and patterns<\/div>\n<\/div>\n
\n
2<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: word problems and systems of equations<\/div>\n<\/div>\n
\n
3<\/strong><\/div>\n
B<\/strong><\/div>\n
arithmetic: division and remainders<\/div>\n<\/div>\n
\n
4<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: prime factorization and factorials<\/div>\n<\/div>\n
\n
5<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: averages\/means and sums<\/div>\n<\/div>\n
\n
6<\/strong><\/div>\n
B<\/strong><\/div>\n
number theory: prime factorization and careful thinking<\/div>\n<\/div>\n
\n
7<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: vectors, pairing, and 45-45-90 triangles<\/div>\n<\/div>\n
\n
8<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: basics of logarithms and trigonometry<\/div>\n<\/div>\n
\n
9<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra and number theory: equations, difference of squares, and units digits<\/div>\n<\/div>\n
\n
10<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: right triangle trigonometry and trig. identities<\/div>\n<\/div>\n
\n
11<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: number bases and modular arithmetic<\/div>\n<\/div>\n
\n
12<\/strong><\/div>\n
E<\/strong><\/div>\n
number theory: prime factorization, factors, and geometric sequences<\/div>\n<\/div>\n
\n
13<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: graphs, substitutions, and symmetry<\/div>\n<\/div>\n<\/div>
\n
14<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: arithmetic sequences, symmetry, and system of equations<\/div>\n<\/div>\n
\n
15<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: polynomials, factoring, and Vieta’s theorem<\/div>\n<\/div>\n
\n
16<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: arrangements and probability<\/div>\n<\/div>\n
\n
17<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: Diophantine equations, differences, and factoring<\/div>\n<\/div>\n
\n
18<\/strong><\/div>\n
A<\/strong><\/div>\n
geometry: right triangle trigonometry, symmetry, triangles, and rotations<\/div>\n<\/div>\n
\n
19<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: cyclic quadrilaterals, law of cosines, and Ptolemy’s theorem<\/div>\n<\/div>\n
\n
20<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: geometric probability, graphing equations, and estimation<\/div>\n<\/div>\n
\n
21<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: recurrences, patterns, series, and estimation<\/div>\n<\/div>\n
\n
22<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: counting, loops, careful thinking, and cases<\/div>\n<\/div>\n
\n
23<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: factoring, trigonometry, and trig. identities<\/div>\n<\/div>\n
\n
24<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: solid geometry, inequalities, and surface area<\/div>\n<\/div>\n
\n
25<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra and combinatorics: symmetry, equations, and complementary counting<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n

In total, 11 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>
4<\/td>3<\/td><\/tr>
5<\/td>4<\/td><\/tr>
7<\/td>6<\/td><\/tr>
15<\/td>9<\/td><\/tr>
18<\/td>11<\/td><\/tr>
19<\/td>12<\/td><\/tr>
21<\/td>14<\/td><\/tr>
23<\/td>17<\/td><\/tr>
25<\/td>22<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Want to see the problems?<\/strong> The 2024 AMC 10A and 12A problems will 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 2024 AMC 10A and 12A Exams held November 6, 2024 are available now. See all the answers and problem types from the exams!<\/p>\n","protected":false},"author":11,"featured_media":2695,"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":"\n2024 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\/2024-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=\"2024 AMC 10A & AMC 12A Answer Key Released - Areteem Institute Blog\" \/>\n<meta property=\"og:description\" content=\"Answers to the 2024 AMC 10A and 12A Exams held November 6, 2024 are available now. 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