 How Many Squares in a Checkerboard?,
a selection of answers from the Dr. Math archives.
 Squares on a Checkerboard
 How many squares are there on a checkerboard?
 Squares in a Square
 If you have a 50x50 square with small squares inside it, how
many squares will there be altogether?
 Squares, Rectangles on a
Chessboard
 How many squares are there on a chessboard? How many rectangles?
 Counting Squares in Bigger
Squares
 How many edge 2 squares (2x2 squares) can be found in an edge 4 square
(a 4x4 square)?
 Chessboard Squares
 We discovered that there are 204 squares on a chessboard and found that
you would add the different squares  1 + 4 + 9 + 16 + 25 + 36 + 49 + 64.
Our teacher wants to know why it works and if there is a quick way to get
the answer.
 Checkerboard Squares
 Suppose you have a square checkerboard not 8x8  what is the
easiest way to find how many squares there are in it?
 Number of Squares in an NxN Square
 How many squares are there in an 8 x 8 square? How many rectangles are there?
 Formula for Squares inside Rectangles
 Is there an equation for how many squares there are in a rectangle
divided up into 1cm blocks?
 Checkerboard Problem
 Is there an exponential pattern for how many squares there are
on a checkerboard?
 Squares in Rectangle Formula
 What is the equation for the number of squares in a rectangle (like the
chessboard puzzle)?
 Rectangles on a Chessboard
 How many rectangles are there on a chessboard?
 Checkerboard Rectangles
 A checkerboard has 8 horizontal boxes and 8 vertical boxes.
How many rectangles are possible inside that board?
