Symmetry

Can all but one square of an 8 by 8 Chessboard be covered by Trominoes?

Consider a watch face which has identical hands and identical marks for the hours. It is opposite to a mirror. When is the time as read direct and in the mirror exactly the same between 6 and 7?

Someone at the top of a hill sends a message in semaphore to a friend in the valley. A person in the valley behind also sees the same message. What is it?

Here is a chance to create some Celtic knots and explore the mathematics behind them.

Using the 8 dominoes make a square where each of the columns and rows adds up to 8

An irregular tetrahedron has two opposite sides the same length a and the line joining their midpoints is perpendicular to these two edges and is of length b. What is the volume of the tetrahedron?

Take a look at the photos of tiles at a school in Gibraltar. What questions can you ask about them?