2025 AMC 8 Problems

Problem 1

Let $m$ and $n$ be $2$ integers such that $m>n$ . Suppose $m+n=20$ , $m^2+n^2=328$ , find $m^2-n^2$ .

$\textbf{(A)}\ 280 \qquad \textbf{(B)}\ 292 \qquad \textbf{(C)}\ 300 \qquad \textbf{(D)}\ 320 \qquad \textbf{(E)}\ 340$

Problem 2

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 3

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Problem 4

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Problem 5

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Problem 6

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Problem 7

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Problem 8

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Problem 9

There are $10$ matchsticks on the table. Percy takes $1$ , $2$ or $3$ matchsticks each time. How many ways are there for him to take all the matchsticks?

$\textbf{(A)}\ 274 \qquad \textbf{(B)}\ 275 \qquad \textbf{(C)}\ 276 \qquad \textbf{(D)}\ 280 \qquad \textbf{(E)}\ 295$

Problem 10

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 11

Find the smallest positive integer $k$ such that $(2^{91}+k)$ is divisible by $127$ .

$\textbf{(A)}\ 122 \qquad \textbf{(B)}\ 123 \qquad \textbf{(C)}\ 124 \qquad \textbf{(D)}\ 125 \qquad \textbf{(E)}\ 126$

Problem 12

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 13

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 14

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 15

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 16

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 17

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Problem 18

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Problem 19

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Problem 20

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 21

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 22

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 23

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 24

The 2025 AMC 8 is not held yet. Please do not post false problems.

Problem 25

The 2025 AMC 8 is not held yet. Please do not post false problems.

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2025 AMC 8 Problems

Contents

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25