{"id":2696,"date":"2024-11-13T10:52:08","date_gmt":"2024-11-13T18:52:08","guid":{"rendered":"https:\/\/areteem.org\/blog\/?p=2696"},"modified":"2024-11-13T10:52:10","modified_gmt":"2024-11-13T18:52:10","slug":"2024-amc-10b-amc-12b-answer-key-released","status":"publish","type":"post","link":"https:\/\/areteem.org\/blog\/2024-amc-10b-amc-12b-answer-key-released\/","title":{"rendered":"2024 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.<\/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 10B and 2024 AMC 12B held on November 12th, 2024.<\/p>\n\n\n\n

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

\n
1<\/strong><\/div>\n
B<\/strong><\/div>\n
arithmetic and spatial reasoning<\/div>\n<\/div>\n
\n
2<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: factorials and factoring<\/div>\n<\/div>\n
\n
3<\/strong><\/div>\n
E<\/strong><\/div>\n
arithmetic: inequalities and estimation<\/div>\n<\/div>\n
\n
4<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: sum of positive integers, patterns, and estimation<\/div>\n<\/div>\n
\n
5<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: arithmetic series, inequalities, and estimation<\/div>\n<\/div>\n
\n
6<\/strong><\/div>\n
B<\/strong><\/div>\n
number theory: prime factorization, factors, and minimizing perimeter<\/div>\n<\/div>\n
\n
7<\/strong><\/div>\n
A<\/strong><\/div>\n
number theory: factoring and remainders<\/div>\n<\/div>\n
\n
8<\/strong><\/div>\n
D<\/strong><\/div>\n
number theory: factors, number of factors, pairing, and units digit<\/div>\n<\/div>\n
\n
9<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: means, sums, and factoring<\/div>\n<\/div>\n
\n
10<\/strong><\/div>\n
A<\/strong><\/div>\n
geometry: parallelograms, similar triangles, and area ratios<\/div>\n<\/div>\n
\n
11<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: areas, Pythagorean theorem, and equations<\/div>\n<\/div>\n
\n
12<\/strong><\/div>\n
A<\/strong><\/div>\n
combinatorics: counting subsets and careful thinking<\/div>\n<\/div>\n
\n
13<\/strong><\/div>\n
B<\/strong><\/div>\n
number theory: Diophantine equations, factoring, perfect squares, and quadratic equations<\/div>\n<\/div>\n<\/div>
\n
14<\/strong><\/div>\n
B<\/strong><\/div>\n
combinatorics: geometric probability and areas and equations of circles and diamonds<\/div>\n<\/div>\n
\n
15<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: statistics (means, medians, and range), equations, and cases<\/div>\n<\/div>\n
\n
16<\/strong><\/div>\n
A<\/strong><\/div>\n
number theory: parity (mod 2) and careful thinking<\/div>\n<\/div>\n
\n
17<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: counting, permutations, and grouping<\/div>\n<\/div>\n
\n
18<\/strong><\/div>\n
B<\/strong><\/div>\n
number theory: modular arithmetic and Euler’s Totient Function<\/div>\n<\/div>\n
\n
19<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: lines, slopes, lattice points, and rational and irrational numbers<\/div>\n<\/div>\n
\n
20<\/strong><\/div>\n
A<\/strong><\/div>\n
combinatorics: counting, pairing, cases, and careful thinking<\/div>\n<\/div>\n
\n
21<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: tangent circles, tangent lines, and the Pythagorean theorem<\/div>\n<\/div>\n
\n
22<\/strong><\/div>\n
A<\/strong><\/div>\n
combinatorics and number theory: choosing groups and prime factorizations<\/div>\n<\/div>\n
\n
23<\/strong><\/div>\n
B<\/strong><\/div>\n
combinatorics: Fibonacci sequence, patterns, and sums<\/div>\n<\/div>\n
\n
24<\/strong><\/div>\n
E<\/strong><\/div>\n
number theory: polynomials and modular arithmetic<\/div>\n<\/div>\n
\n
25<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: systems of equations<\/div>\n<\/div>\n<\/div><\/div>\n\n

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

\n
1<\/strong><\/div>\n
B<\/strong><\/div>\n
arithmetic and spatial reasoning<\/div>\n<\/div>\n
\n
2<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: factorials and factoring<\/div>\n<\/div>\n
\n
3<\/strong><\/div>\n
E<\/strong><\/div>\n
arithmetic: inequalities and estimation<\/div>\n<\/div>\n
\n
4<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: sum of positive integers, patterns, and estimation<\/div>\n<\/div>\n
\n
5<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: arithmetic series, inequalities, and estimation<\/div>\n<\/div>\n
\n
6<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra and number theory: number bases, logarithms, and estimation<\/div>\n<\/div>\n
\n
7<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: areas, Pythagorean theorem, and equations<\/div>\n<\/div>\n
\n
8<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: logarithms, change of base, and equations<\/div>\n<\/div>\n
\n
9<\/strong><\/div>\n
B<\/strong><\/div>\n
combinatorics: geometric probability and areas and equations of circles and diamonds<\/div>\n<\/div>\n
\n
10<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: statistics (means, medians, and range), equations, and cases<\/div>\n<\/div>\n
\n
11<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: averages, trig. identities, and pairing<\/div>\n<\/div>\n
\n
12<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: complex numbers, polar form, and areas of triangles<\/div>\n<\/div>\n
\n
13<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra and geometry: completing the square, equations of circles, tangent circles, and inequalities<\/div>\n<\/div>\n<\/div>
\n
14<\/strong><\/div>\n
B<\/strong><\/div>\n
number theory: modular arithmetic and Euler’s Totient Function<\/div>\n<\/div>\n
\n
15<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: areas of triangles or Shoelace theorem and logarithms<\/div>\n<\/div>\n
\n
16<\/strong><\/div>\n
A<\/strong><\/div>\n
combinatorics and number theory: choosing groups and prime factorizations<\/div>\n<\/div>\n
\n
17<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra and combinatorics: probability, integer roots, and Vieta’s theorem<\/div>\n<\/div>\n
\n
18<\/strong><\/div>\n
B<\/strong><\/div>\n
combinatorics: Fibonacci sequence, patterns, and sums<\/div>\n<\/div>\n
\n
19<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: rotations, areas, trigonometry, and trig. identities<\/div>\n<\/div>\n
\n
20<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: triangles, medians, areas, inequalities, and careful thinking<\/div>\n<\/div>\n
\n
21<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry and algebra: Pythagorean triples and trig. Identities<\/div>\n<\/div>\n
\n
22<\/strong><\/div>\n
C<\/strong><\/div>\n
geometry: circumcircles and cyclic quadrilaterals, Ptolemy’s theorem, and Diophantine equations<\/div>\n<\/div>\n
\n
23<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: pyramids, volume, octagons, and trig. identities<\/div>\n<\/div>\n
\n
24<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: triangles, incircles, equations, and the triangle inequality<\/div>\n<\/div>\n
\n
25<\/strong><\/div>\n
A<\/strong><\/div>\n
combinatorics: probability, independence, and casework<\/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>
3<\/td>3<\/td><\/tr>
4<\/td>4<\/td><\/tr>
5<\/td>5<\/td><\/tr>
11<\/td>7<\/td><\/tr>
14<\/td>9<\/td><\/tr>
15<\/td>10<\/td><\/tr>
18<\/td>14<\/td><\/tr>
22<\/td>16<\/td><\/tr>
23<\/td>18<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Want to see the problems?<\/strong> The 2024 AMC 10B and 12B 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 10B and 12B Exams held November 12, 2024 are available now. See all the answers and problem types from the exams!<\/p>\n","protected":false},"author":11,"featured_media":2699,"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 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\/2024-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=\"2024 AMC 10B & AMC 12B Answer Key Released - Areteem Institute Blog\" \/>\n<meta property=\"og:description\" content=\"Answers to the 2024 AMC 10B and 12B Exams held November 12, 2024 are available now. 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