You may also like

problem icon

Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

problem icon

Paving the Way

A man paved a square courtyard and then decided that it was too small. He took up the tiles, bought 100 more and used them to pave another square courtyard. How many tiles did he use altogether?

problem icon

Square Areas

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

Square Coordinates

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Play with this interactivity until you can draw tilted squares confidently.

Full Screen Version

This text is usually replaced by the Flash movie.


Formulate and describe a general instruction for the construction of a square when you are given two adjacent corners.

Formulate and describe a general instruction for the construction of a square when you are given two opposite corners.

Decide whether any of the collections of points below form a square.
If so, which ones?
Can you do this without plotting the points on a grid?

1. $(8,3)$, $(7,8)$, $(2,7)$, $(3,2)$
2. $(3,3)$, $(7,4)$, $(8,8)$, $(4,7)$
3. $(16,19)$, $(18,22)$, $(21,20)$, $(19,17)$
4. $(4,20)$, $(21,19)$, $(20,2)$, $(3,3)$

Explain how you decided.