Squares

problem

A Square in a Circle

Age

7 to 11

Challenge level

What shape has Harry drawn on this clock face? Can you find its area? What is the largest number of square tiles that could cover this area?
problem

Tiles on a Size Ten Patio

Age

7 to 11

Challenge level

How many tiles could you use to cover this 10 by 10 patio?
problem

Making Squares

Age

7 to 11

Challenge level

Investigate all the different squares you can make on this 5 by 5 grid by making your starting side go from the bottom left hand point. Can you find out the areas of all these squares?
problem

First Forward Into Logo 1: Square Five

Age

7 to 16

Challenge level

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

Logo Challenge - The Humble Square

Age

7 to 16

Challenge level

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.
problem

Logo Challenge 3 - Star Square

Age

7 to 16

Challenge level

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

Coloured Edges

Age

11 to 14

Challenge level

The whole set of tiles is used to make a square. This has a green and blue border. There are no green or blue tiles anywhere in the square except on this border. How many tiles are there in the set?
problem

Square Within a Square Within...

Age

11 to 14

Challenge level

What fraction of this square is shaded?
problem

Logo Challenge 5 - Patch

Age

11 to 16

Challenge level

Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?
problem

Logo Challenge 7 - More Stars and Squares

Age

11 to 16

Challenge level

Can you use LOGO to create a systematic reproduction of a basic design? An introduction to variables in a familiar setting.