Yesterday, thousands of middle school and high school students participated in this year’s AMC 10A and 12A Competition.
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.
2024 AMC 10A Answers
1
A
arithmetic: multiplication and patterns
2
B
algebra: word problems and systems of equations
3
B
number theory: primes and parity
4
B
arithmetic: division and remainders
5
D
number theory: prime factorization and factorials
6
D
combinatorics: counting, swaps, and sorting
7
B
number theory: prime factorization and careful thinking
8
A
algebra: word problems, work, and ratios
9
B
combinatorics: counting, combinations, and choosing teams
10
C
algebra and number theory: divisibility, arithmetic, and patterns
11
D
number theory: Diophantine equations, completing the rectangle, and factors
12
E
arithmetic: daily change, bar graphs, and averages
13
C
geometry: transformations and commutativity
14
D
geometry: areas, triangles, circles, and tangents
15
E
algebra and number theory: equations, difference of squares, and units digits
16
D
geometry: similar rectangles and ratio of areas and side lengths
17
E
combinatorics: probability, cases, and equations
18
D
number theory: number bases and modular arithmetic
19
E
number theory: prime factorization, factors, and geometric sequences
20
C
combinatorics: subsets, patterns, and construction
21
C
algebra: arithmetic sequences, symmetry, and system of equations
22
B
geometry: polygons, areas, and 30-60-90 triangles
23
D
number theory: Diophantine equations, differences, and factoring
24
B
combinatorics: probability, spatial reasoning, and cases
25
C
combinatorics: counting, loops, careful thinking, and cases
2024 AMC 12A Answers
1
A
arithmetic: multiplication and patterns
2
B
algebra: word problems and systems of equations
3
B
arithmetic: division and remainders
4
D
number theory: prime factorization and factorials
5
D
algebra: averages/means and sums
6
B
number theory: prime factorization and careful thinking
7
D
geometry: vectors, pairing, and 45-45-90 triangles
8
A
algebra: basics of logarithms and trigonometry
9
E
algebra and number theory: equations, difference of squares, and units digits
10
C
geometry: right triangle trigonometry and trig. identities
11
D
number theory: number bases and modular arithmetic
12
E
number theory: prime factorization, factors, and geometric sequences
13
D
algebra: graphs, substitutions, and symmetry
14
C
algebra: arithmetic sequences, symmetry, and system of equations
15
D
algebra: polynomials, factoring, and Vieta’s theorem
16
C
combinatorics: arrangements and probability
17
D
number theory: Diophantine equations, differences, and factoring
18
A
geometry: right triangle trigonometry, symmetry, triangles, and rotations
19
D
geometry: cyclic quadrilaterals, law of cosines, and Ptolemy’s theorem
20
D
combinatorics: geometric probability, graphing equations, and estimation
21
B
algebra: recurrences, patterns, series, and estimation
22
C
combinatorics: counting, loops, careful thinking, and cases
23
B
algebra: factoring, trigonometry, and trig. identities
24
D
geometry: solid geometry, inequalities, and surface area
25
B
algebra and combinatorics: symmetry, equations, and complementary counting
In total, 11 questions of the same questions appeared on both the AMC 10A and AMC 12A. They are listed below:
AMC 10A
AMC 12A
1
1
2
2
4
3
5
4
7
6
15
9
18
11
19
12
21
14
23
17
25
22
Want to see the problems? The 2024 AMC 10A and 12A problems will be available on the ZIML site along with previous exams. Click here for AMC 10 and here for AMC 12.
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.
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