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

How can you arrange these 10 matches in four piles so that when you move one match from three of the piles into the fourth, you end up with the same arrangement?

How could you estimate the number of pencils/pens in these pictures?

Move four sticks so there are exactly four triangles.

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.

Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?

Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?