Is there a best way to stack cans? What do different supermarkets do? How high can you safely stack the cans?

Can you arrange fifteen dominoes so that all the touching domino pieces add to 6 and the ends join up? Can you make all the joins add to 7?

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?

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?

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

You thought carefully about this problem and Luke was able to tell us about the shortest routes very convincingly.

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.