{"id":2264,"date":"2021-02-11T16:15:03","date_gmt":"2021-02-12T00:15:03","guid":{"rendered":"https:\/\/areteem.org\/blog\/?p=2264"},"modified":"2021-04-22T14:55:45","modified_gmt":"2021-04-22T21:55:45","slug":"2021-amc-10b-amc-12b-answer-key-released","status":"publish","type":"post","link":"https:\/\/areteem.org\/blog\/2021-amc-10b-amc-12b-answer-key-released\/","title":{"rendered":"2021 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. 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 10B and AMC 12B questions as well as the concepts tested on each problem.<\/p>\n\n\n\n

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

\n
1<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: absolute values and inequalities<\/div>\n<\/div>\n
\n
2<\/strong><\/div>\n
D<\/strong><\/div>\n
arithmetic: square roots<\/div>\n<\/div>\n
\n
3<\/strong><\/div>\n
C<\/strong><\/div>\n
arithmetic: percentages<\/div>\n<\/div>\n
\n
4<\/strong><\/div>\n
B<\/strong><\/div>\n
arithmetic: careful thinking and calculation<\/div>\n<\/div>\n
\n
5<\/strong><\/div>\n
B<\/strong><\/div>\n
number theory: factors and multiples<\/div>\n<\/div>\n
\n
6<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: ratios and averages<\/div>\n<\/div>\n
\n
7<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: circles, areas, and logic<\/div>\n<\/div>\n
\n
8<\/strong><\/div>\n
A<\/strong><\/div>\n
patterns and sequences<\/div>\n<\/div>\n
\n
9<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: coordinates and transformations<\/div>\n<\/div>\n
\n
10<\/strong><\/div>\n
A<\/strong><\/div>\n
geometry: cones, cylinders, and volumes<\/div>\n<\/div>\n
\n
11<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry and counting: squares<\/div>\n<\/div>\n
\n
12<\/strong><\/div>\n
C<\/strong><\/div>\n
number theory: factors and ratios<\/div>\n<\/div>\n
\n
13<\/strong><\/div>\n
B<\/strong><\/div>\n
number theory: number bases and place values<\/div>\n<\/div>\n<\/div>
\n
14<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: circles, chords and parallel lines<\/div>\n<\/div>\n
\n
15<\/strong><\/div>\n
B<\/strong><\/div>\n
algebra: factoring, polynomials, and substitution<\/div>\n<\/div>\n
\n
16<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: counting and divisibility<\/div>\n<\/div>\n
\n
17<\/strong><\/div>\n
C<\/strong><\/div>\n
logic and careful thinking<\/div>\n<\/div>\n
\n
18<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: probability and independence<\/div>\n<\/div>\n
\n
19<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: sets, averages, and system of equations<\/div>\n<\/div>\n
\n
20<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: pentagons, triangles, and symmetry<\/div>\n<\/div>\n
\n
21<\/strong><\/div>\n
A<\/strong><\/div>\n
geometry: Pythagorean theorem and similar triangles<\/div>\n<\/div>\n
\n
22<\/strong><\/div>\n
D<\/strong><\/div>\n
combinatorics: probability and inclusion-exclusion<\/div>\n<\/div>\n
\n
23<\/strong><\/div>\n
C<\/strong><\/div>\n
combinatorics: geometric probability and areas<\/div>\n<\/div>\n
\n
24<\/strong><\/div>\n
B<\/strong><\/div>\n
games, strategies, and symmetry<\/div>\n<\/div>\n
\n
25<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: lattice points, slopes, and patterns<\/div>\n<\/div>\n<\/div><\/div>\n\n

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

\n
1<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: absolute values and inequalities<\/div>\n<\/div>\n
\n
2<\/strong><\/div>\n
B<\/strong><\/div>\n
arithmetic: careful thinking and calculation<\/div>\n<\/div>\n
\n
3<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: fractions and equations<\/div>\n<\/div>\n
\n
4<\/strong><\/div>\n
C<\/strong><\/div>\n
algebra: ratios and averages<\/div>\n<\/div>\n
\n
5<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: coordinates and transformations<\/div>\n<\/div>\n
\n
6<\/strong><\/div>\n
A<\/strong><\/div>\n
geometry: cones, cylinders, and volumes<\/div>\n<\/div>\n
\n
7<\/strong><\/div>\n
C<\/strong><\/div>\n
number theory: factors and ratios<\/div>\n<\/div>\n
\n
8<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: circles, chords and parallel lines<\/div>\n<\/div>\n
\n
9<\/strong><\/div>\n
D<\/strong><\/div>\n
arithmetic: rules of logarithms<\/div>\n<\/div>\n
\n
10<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: completing the rectangle<\/div>\n<\/div>\n
\n
11<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: similar triangles and altitudes<\/div>\n<\/div>\n
\n
12<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: sets, averages, and system of equations<\/div>\n<\/div>\n
\n
13<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: trigonometry and identities<\/div>\n<\/div>\n<\/div>
\n
14<\/strong><\/div>\n
A<\/strong><\/div>\n
geometry: pyramids, distance, and volume<\/div>\n<\/div>\n
\n
15<\/strong><\/div>\n
D<\/strong><\/div>\n
geometry: pentagons, triangles, and symmetry<\/div>\n<\/div>\n
\n
16<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: polynomials and Vieta’s theorem<\/div>\n<\/div>\n
\n
17<\/strong><\/div>\n
B<\/strong><\/div>\n
geometry: areas, trapezoids, and triangles<\/div>\n<\/div>\n
\n
18<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: complex numbers, moduli, conjugates<\/div>\n<\/div>\n
\n
19<\/strong><\/div>\n
B<\/strong><\/div>\n
probability: dice rolls, cases, and patterns<\/div>\n<\/div>\n
\n
20<\/strong><\/div>\n
A<\/strong><\/div>\n
algebra: polynomials, roots of unity<\/div>\n<\/div>\n
\n
21<\/strong><\/div>\n
D<\/strong><\/div>\n
algebra: exponents, logarithms, and equations<\/div>\n<\/div>\n
\n
22<\/strong><\/div>\n
B<\/strong><\/div>\n
games, strategies, and symmetry<\/div>\n<\/div>\n
\n
23<\/strong><\/div>\n
A<\/strong><\/div>\n
combinatorics: cases, patterns, and infinite geometric sums<\/div>\n<\/div>\n
\n
24<\/strong><\/div>\n
A<\/strong><\/div>\n
geometry: projections, parallelograms, and cyclic quadrilaterals<\/div>\n<\/div>\n
\n
25<\/strong><\/div>\n
E<\/strong><\/div>\n
algebra: lattice points, slopes, and patterns<\/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 10B<\/strong><\/td>AMC 12B<\/strong><\/td><\/tr>
1<\/td>1<\/td><\/tr>
4<\/td>2<\/td><\/tr>
6<\/td>4<\/td><\/tr>
9<\/td>5<\/td><\/tr>
10<\/td>6<\/td><\/tr>
12<\/td>7<\/td><\/tr>
14<\/td>8<\/td><\/tr>
19<\/td>12<\/td><\/tr>
20<\/td>15<\/td><\/tr>
24<\/td>22<\/td><\/tr>
25<\/td>25<\/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><\/p>\n\n\n\n

The 2021 AMC 10A, 10B, 12A, and 12B problems are all 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 10B and 12B Exams are available now. See all the answers and problem types from the 2021 exams!<\/p>\n","protected":false},"author":1,"featured_media":2266,"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 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\/2021-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=\"2021 AMC 10B & AMC 12B Answer Key Released - Areteem Institute Blog\" \/>\n<meta property=\"og:description\" content=\"Answers to the 2021 AMC 10B and 12B Exams are available now. 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