Working systematically

The Vikings communicated in writing by making simple scratches on wood or stones called runes. Can you work out how their code works using the table of the alphabet?

Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?

A 1x2x3 block is placed on an 8x8 board and rolled several times.... How many squares has it occupied altogether?

Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?

Weekly Problem 11 - 2011
Kanga hops ten times in one of four directions. At how many different points can he end up?

Can you find numbers between 100 and 999 that have a middle digit equal to the sum of the other two digits?

This challenge involves calculating the number of candles needed on birthday cakes. It is an opportunity to explore numbers and discover new things.

This task follows on from Build it Up and takes the ideas into three dimensions!

Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?

This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.