Squares

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

A Short introduction to using Logo. This is the first in a twelve part series.

Look at how the pattern is built up - in that way you will know how to break the final pattern down into more manageable pieces.

Creating designs with squares - using the REPEAT command in LOGO. This requires some careful thought on angles

What can you see? What do you notice? What questions can you ask?

It's easy to work out the areas of most squares that we meet, but what if they were tilted?