You may also like

Square Areas

Can you work out the area of the inner square and give an explanation of how you did it?

Dissect

What is the minimum number of squares a 13 by 13 square can be dissected into?

2001 Spatial Oddity

With one cut a piece of card 16 cm by 9 cm can be made into two pieces which can be rearranged to form a square 12 cm by 12 cm. Explain how this can be done.

Squares in Rectangles

Age 11 to 14 Challenge Level:

A $2$ by $3$ rectangle contains $8$ squares. Can you see how?

2 by 3 rectangle

A $3$ by $4$ rectangle contains $20$ squares. Can you see how?

3 by 4 rectangle

A $4$ by $6$ rectangle contains $50$ squares. Can you see how?

4 by 6 rectangle


What size rectangle contains exactly $100$ squares?

Is there more than one?
Can you find them all?
Can you prove that there are no more?

Click here for a poster of this problem.