2025 AMC 8 Problems

Revision as of 07:07, 23 February 2024 by Theumbrellaacademy (talk | contribs) (2025 AMC 8 Problem 11)

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

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Problem 10

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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

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Problem 14

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Problem 15

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Problem 16

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Problem 17

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Problem 18

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Problem 19

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Problem 20

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Problem 21

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Problem 22

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Problem 23

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Problem 24

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Problem 25

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