Can all unit fractions be written as the sum of two unit fractions?

The Egyptians expressed all fractions as the sum of different unit fractions. Here is a chance to explore how they could have written different fractions.

The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.

In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.

What fractions can you divide the diagonal of a square into by simple folding?

The diagonal of a square intersects the line joining one of the unused corners to the midpoint of the opposite side. What do you notice about the line segments produced?

Six circular discs are packed in different-shaped boxes so that the discs touch their neighbours and the sides of the box. Can you put the boxes in order according to the areas of their bases?

We received many correct solutions to this problem. However, all the solutions have not been found yet. Can you find any more?

Ideas to support mathematics teachers who are committed to nurturing confident, resourceful and enthusiastic learners.

Hilbert's Hotel has an infinite number of rooms, and yet, even when it's full, it can still fit more people in!