problem Triangle in a Square Age 7 to 11 Challenge level Do you agree with Badger's statements? Is Badger's reasoning watertight? Why or why not?
problem Diagonally Square Age 7 to 11 Challenge level Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?
problem square within a square within... Age 11 to 14 Challenge level What fraction of this square is shaded?
problem A Swiss sum Age 16 to 18 Challenge level Can you use the given image to say something about the sum of an infinite series?
article Peg and Pin Boards This article for teachers suggests activities based on pegboards, from pattern generation to finding all possible triangles, for example.
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 Polydron Age 7 to 11 Challenge level This activity investigates how you might make squares and pentominoes from Polydron.
problem Hidden Squares Age 11 to 14 Challenge level Can you find the squares hidden on these coordinate grids?
problem Data shapes Age 5 to 7 Challenge level Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?
problem Seeing Squares Age 5 to 11 Challenge level 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.