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Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!

Transformation Tease

What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?

Penta Play

A shape and space game for 2, 3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board.

Let Us Reflect

Age 7 to 11
Challenge Level

Ruth has sent in some ideas for the first part of the question. She says you can put a mirror across the middle or diagonally from corner to corner to see the whole square. She sent these diagrams:

square with horizontal line across the middle
square with diagonal line from bottom left corner to top right corner
Gemma from Greenleas Primary School managed to find a few more ways of seeing the whole square, as well as some other shapes:

Mirror square
Siobhan from Daubeny Middle School also sent in a very nice solution. She says:

There are four positions where the mirror can be put and you can still 'see' the whole square: vertically in the centre, horizontally in the centre, and on the two diagonals. So the square has four lines of symmetry. To reflect part of the square to make another shape, half the number of the sides of the shape you want to make would need to be reflected into the mirror. The shape you make will have at least one line of symmetry. The diagrams shows the positions of the mirror to make more shapes.

Thank you for writing to us Siobhan, Ruth and Gemma. Well done!