Difference between revisions of "2025 AMC 8 Problems"

(2025 AMC 8 Problem 9)
m (Protected "2025 AMC 8 Problems" ([Edit=Allow only administrators] (expires 17:59, 29 January 2025 (UTC)) [Move=Allow only administrators] (expires 17:59, 29 January 2025 (UTC))) [cascading])
 
(16 intermediate revisions by 9 users not shown)
Line 1: Line 1:
==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==
 
 
The 2025 AMC 8 is not held yet. '''Please do not post false problems.'''
 
 
==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.'''

Latest revision as of 18:13, 20 December 2024

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