How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?

"Tell me the next two numbers in each of these seven minor spells", chanted the Mathemagician, "And the great spell will crumble away!" Can you help Anna and David break the spell?

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

What is the total area of the four outside triangles which are outlined in red in this arrangement of squares inside each other?

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?

Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?

In this article, Jennifer Piggott talks about just a few of the problems with problems that make them such a rich source of mathematics and approaches to learning mathematics.

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.