olymmath

AMC 10 2015a

AMC 10 2015.

Paper

Problem 1

  • Paper

What is the value of (20−1+52+0)−1×5(2^0-1+5^2+0)^{-1}\times 5 ? (A) −125(B) −120(C) 15(D) 524(E) 25\textbf{(A) }-125 \textbf{(B) }-120 \textbf{(C) }\dfrac15 \textbf{(D) }\dfrac5{24} \textbf{(E) }25

Answer, solutions and source

Problem 2

  • Paper

A box contains a collection of triangular and square tiles. There are 25 tiles in the box, containing 84 edges total. How many square tiles are there in the box? (A) 3(B) 5(C) 7(D) 9(E) 11\textbf{(A) }3 \textbf{(B) }5 \textbf{(C) }7 \textbf{(D) }9 \textbf{(E) }\text{11}

Answer, solutions and source