Samantha from Hamlin sent us her work on this problem. She found that it is possible to choose cards so that all of the boxes can be filled in. In fact, she chose cards so that she could fill in all of the boxes using a 1x1 square! Here is her example :
Has all equal angles  Has rotational symmetry  Has more than 1 axis of symmetry  Has area of 1 unit  
Has more than 2 equal angles  
Has more than 1 right angle  
Has more than 2 equal sides  
Has 2 pairs of parallel sides 
Well done to Christine, Peter, Rebecca and Josh from Ely St John's School who found two more ways to choose cards so that all the boxes could be filled in. They decided to use rectangles as well as squares. Here is one of their solutions:
Has more than 1 axis of symmetry  Has all equal angles  Has more than 2 equal angles  Has 2 pairs or parallel sides  
Has more than 1 right angle  square  square  square  square 
Has more than 2 equal angles  square  square  square  square 
Has area of 1 unit

square  square  square  square 
Has area of 2 units

rectangle  rectangle  rectangle  rectangle 
Well done also to Mr Beech's Year 7 class who all sent us their solutions!
George found that it is possible to choose cards so that none of the boxes can be filled in. Here's the example he sent us:
More than one axis of symmetry  Just two pairs of parallel sides  Rotational symmetry  All angles equal  
Just one axis of symmetry  
Just one pair of parallel sides  
Just two equal angles  
One right angle 
If anyone has had a go at these questions using the triangle cards, do send your solutions to the secondary team.