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 2025 AMC 10A and AMC 12A held on November 5th, 2025.
2025 AMC 10A Answers
1
E
arithmetic and algebra: motion
2
B
algebra: mixing and percents
3
D
geometry: isosceles triangles, counting, and triangle inequality
4
A
algebra: equations and averages
5
E
algebra: sequences and patterns
6
C
geometry: triangles, hexagons, and angles in polygons
7
E
algebra: polynomial long division and polynomial remainder theorem
8
B
logic and reasoning
9
C
algebra: cubics, factoring, and transformations
10
C
geometry: circles, chords, and areas
11
E
algebra: arithmetic and geometric sequences
12
D
combinatorics: counting, numbers, and digits
13
D
geometry and algebra: squares, areas, and geometric series
14
B
combinatorics: probability, circular permutations, and grouping
15
A
geometry: Pythagorean theorem, similar triangles, and quadratic equations
16
D
combinatorics: maximums and expected value
17
E
number theory: quotients, remainders, and prime factorizations
18
B
algebra: polynomials, Vieta’s formulas, and harmonic means
19
A
combinatorics and algebra: recurrences, differences, sequences, and patterns
20
A
geometry: circles, tangents, ratios, and similar triangles
21
C
combinatorics: sets, counting, and careful thinking
22
B
geometry: circles, radii, Pythagorean theorem, and quadratic equations
23
D
geometry: triangles, areas, altitudes, and angle bisector theorem
24
C
combinatorics: counting, digits, subsets, and patterns
25
A
combinatorics and geometry: triangles, circles, careful thinking, and areas
2025 AMC 12A Answers
1
E
arithmetic and algebra: motion
2
B
algebra: mixing and percents
3
A
algebra: equations and averages
4
B
logic and reasoning
5
D
geometry and algebra: squares, areas, and geometric series
6
B
combinatorics: probability, circular permutations, and grouping
7
C
algebra: logarithms, exponents, and equations
8
E
geometry: cyclic quadrilaterals, law of cosines, and angle bisector theorem
9
E
algebra: complex numbers and lines
10
B
geometry: circles, arcs, arc lengths, and equations
11
A
geometry: triangles, altitudes, orthocenters, and coordinates
12
B
algebra: polynomials, Vieta’s formulas, and harmonic means
13
D
combinatorics: counting, subsets, consecutive integers, and cases
14
D
geometry: ellipses, eccentricity, and homothety
15
C
combinatorics: sets, counting, and careful thinking
16
D
geometry: triangles, areas, altitudes, and angle bisector theorem
17
A
algebra: cubics, complex numbers, factoring, and areas
18
C
combinatorics: complementary counting and cases
19
E
algebra: Vieta’s formulas, symmetric polynomials, and factoring
20
C
geometry: Pythagorean theorem, volumes, pyramids, and prisms
21
A
algebra and number theory: prime factorizations, geometric series, and factoring
22
E
combinatorics and geometry: geometry probability, volumes, and pyramids
23
C
combinatorics: counting, digits, subsets, and patterns
24
C
geometry: circles, regular polygons, and trig. identities
25
E*
algebra: factoring, graphing, cases, inequalities, and careful thinking
There seems to be a mistake for #25 on AMC 12A. E should be the intended answer as there are 13 pairs of P(x) and Q(x), however, there are only 8 different functions. We will update this page once we know how the MAA is dealing with this discrepancy.
In total, 10 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
8
4
13
5
14
6
18
12
21
15
23
16
24
23
Want to see the problems? The 2025 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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