A quartet of mathematicians from Yorkshire University, the University of Cambridge, the University of Waterloo and the University of Arkansas has discovered a 2D geometric shape that does not repeat itself when tiled. David Smith, Joseph Samuel Myers, Craig Kaplan and Chaim Goodman-Strauss have...

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 parallelogram....

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....

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....

Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it....

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 rhombus....

Use your knowledge of place value to try to win this game. How will you maximise your score?...

What happens when you add three numbers together? Will your answer be odd or even? How do you know?...

A task which depends on members of the group noticing the needs of others and responding....

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?...

## Pages