Difference between revisions of "2025 AMC 8 Problems"

(Problem 10)
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==Problem 1==
 
 
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>.
 
 
<math>\textbf{(A)}\ 280 \qquad \textbf{(B)}\ 292 \qquad \textbf{(C)}\ 300 \qquad \textbf{(D)}\ 320 \qquad \textbf{(E)}\ 340</math>
 
 
==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==
 
 
There are <math>10</math> matchsticks on the table. Percy takes <math>1</math>, <math>2</math> or <math>3</math> matchsticks each time. How many ways are there for him to take all the matchsticks?
 
 
<math>\textbf{(A)}\ 274 \qquad \textbf{(B)}\ 275 \qquad \textbf{(C)}\ 276 \qquad \textbf{(D)}\ 280 \qquad \textbf{(E)}\ 295</math>
 
 
==Problem 10==
 
 
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.
 
 
<math>\textbf{(A) } 9\qquad\textbf{(B) } 10\qquad\textbf{(C) } 11\qquad\textbf{(D) } 12\qquad\textbf{(E) } 13</math>
 
 
==Problem 11==
 
 
Find the smallest positive integer <math>k</math> such that <math>(2^{91}+k)</math> is divisible by <math>127</math>.
 
 
<math>\textbf{(A)}\ 122 \qquad \textbf{(B)}\ 123 \qquad \textbf{(C)}\ 124 \qquad \textbf{(D)}\ 125 \qquad \textbf{(E)}\ 126</math>
 
 
==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.'''
 
The 2025 AMC 8 is not held yet. '''Please do not post false problems.'''

Revision as of 09:28, 31 July 2024

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