MathDB
Nonstandard Checkerboards

Source: 2012 AMC10A Problem #14

February 8, 2012
ceiling functiongeometryrectangleAMC

Problem Statement

Chubby makes nonstandard checkerboards that have 3131 squares on each side. The checkerboards have a black square in every corner and alternate red and black squares along every row and column. How many black squares are there on such a checkerboard?
<spanclass=latexbold>(A)</span> 480<spanclass=latexbold>(B)</span> 481<spanclass=latexbold>(C)</span> 482<spanclass=latexbold>(D)</span> 483<spanclass=latexbold>(E)</span> 484 <span class='latex-bold'>(A)</span>\ 480 \qquad<span class='latex-bold'>(B)</span>\ 481 \qquad<span class='latex-bold'>(C)</span>\ 482 \qquad<span class='latex-bold'>(D)</span>\ 483 \qquad<span class='latex-bold'>(E)</span>\ 484