Problems

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

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

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

Are these games fair? How can you tell?

What's the largest volume of box you can make from a square of paper?

Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?