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Squares in a Checkerboard

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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?

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