How many different triangles can you draw on the dotty grid which each have one dot in the middle?

Can you each work out what shape you have part of on your card? What will the rest of it look like?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

How many different triangles can you make on a circular pegboard that has nine pegs?

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!