Challenge Level

How many solutions can you find to this sum? Each of the different letters stands for a different number.

Challenge Level

Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

Challenge Level

Can you picture how to order the cards to reproduce Charlie's card trick for yourself?

Challenge Level

Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

Challenge Level

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Challenge Level

Can you find rectangles where the value of the area is the same as the value of the perimeter?

Challenge Level

Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

Challenge Level

Can you find a way to identify times tables after they have been shifted up or down?

Challenge Level

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Challenge Level

Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...