Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral....

Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?...

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?...

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice....

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?...

Which way of flipping over and/or turning this grid will give you the highest total? You'll need to imagine where the numbers will go in this tricky task!...

In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?...

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

Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?...

By selecting digits for an addition grid, what targets can you make?...