Question

The $64$ whole numbers from $1$ through $64$ are written, one per square, on a checkerboard (an $8$ by $8$ array of $64$ squares). The first $8$ numbers are written in order across the first row, the next $8$ across the second row, and so on. After all $64$ numbers are written, the sum of the numbers in the four corners will be

$130$

$131$

$132$

$133$

$134$

Solution:

The first row is $1, 2, \ldots, 8$ and the last row is $57, 58, \ldots, 64$ . The four corners are $1, 8, 57,$ and $64$ .

Their sum is $1 + 8 + 57 + 64 = 130$ .

Thus, the correct answer is A .

1996 AMC 8 Problem 3

Solution:

Problem 3 in Other Years