Reflections

problem

Footprints

Age

16 to 18

Challenge level

Make a footprint pattern using only reflections.
problem

Reflect Again

Age

16 to 18

Challenge level

Follow hints to investigate the matrix which gives a reflection of the plane in the line y=tanx. Show that the combination of two reflections in intersecting lines is a rotation.
problem

Star Find

Age

5 to 7

Challenge level

Can you see which tile is the odd one out in this design? Using the basic tile, can you make a repeating pattern to decorate our wall?
problem

HexPentas

Age

5 to 11

Challenge level

How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?
problem

Times

Age

7 to 11

Challenge level

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!
problem

Transforming the Letters

Age

7 to 11

Challenge level

What happens to these capital letters when they are rotated through one half turn, or flipped sideways and from top to bottom?
problem

What Am I?

Age

7 to 11

Challenge level

Can you draw the shape that is being described by these cards?
game

Penta Play

Age

7 to 11

Challenge level

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.
problem

Transformation Tease

Age

7 to 11

Challenge level

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?
problem

Building With Rods

Age

7 to 11

Challenge level

In how many ways can you stack these rods, following the rules?