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Difference between revisions of "2025 AMC 8 Problems"

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==Problem 1==
 
==Problem 1==
  
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Let <math>m</math> and <math>n</math> be <math>2</math> integers such that <math>m>n</math>. Suppose <math>m+n=20</math>, <math>m^2+n^2=328</math>, find <math>m^2-n^2</math>.
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The 2025 AMC 8 is not held yet. '''Please do not post false problems.'''
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<math>\textbf{(A)}\ 280 \qquad \textbf{(B)}\ 292 \qquad \textbf{(C)}\ 300 \qquad \textbf{(D)}\ 320 \qquad \textbf{(E)}\ 340</math>
 
  
 
==Problem 2==
 
==Problem 2==
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==Problem 9==
 
==Problem 9==
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The 2025 AMC 8 is not held yet. Please do not post false problems.
  
 
==Problem 10==
 
==Problem 10==
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The 2025 AMC 8 is not held yet. Please do not post false problems.
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There are fifty \$1, \$2, and \$5 notes. There are two more \$1 notes than \$2 notes. Given that the total value of the notes is \$116, find the number of \$5 notes.
 
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<math>\textbf{(A) } 9\qquad\textbf{(B) } 10\qquad\textbf{(C) } 11\qquad\textbf{(D) } 12\qquad\textbf{(E) } 13</math>
 
  
 
==Problem 11==
 
==Problem 11==
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The 2025 AMC 8 is not held yet. Please do not post false problems.
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Find the smallest positive integer <math>k</math> such that <math>(2^{91}+k)</math> is divisible by <math>127</math>.
 
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<math>\textbf{(A)}\ 122 \qquad \textbf{(B)}\ 123 \qquad \textbf{(C)}\ 124 \qquad \textbf{(D)}\ 125 \qquad \textbf{(E)}\ 126</math>
 
  
 
==Problem 12==
 
==Problem 12==

Latest revision as of 12:58, 3 April 2024

Problem 1

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

Problem 2

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

Problem 3

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

Problem 4

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

Problem 5

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

Problem 6

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

Problem 7

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

Problem 8

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

Problem 9

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

Problem 10

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

Problem 11

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

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

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

Problem 18

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

Problem 19

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

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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