BMAT 2012 · Question 23 · Spatial
SaveA student has been carrying out tests to see how well young children can follow instructions. A group of children have been colouring in squares on a 4x4 grid. They had been given details of which ones to colour. The student forgot to mark the grids to show the top and bottom and so when the grids were collected for evaluation they needed to be rotated in order to find out which ones were identical to others in the batch. The diagrams below show cards collected from children with 100% success in following their instructions.

How many different patterns were created?