Haaniah from Woodthorpe JI School sent in this good solution;
I first thought about how to get to the middle using any numbers of squares, for example, clockwise. Then I decided to go clockwise, using two squares and two rows at a time. When I got to the corner I decided to enter the corner diagonally. When I got to the final three rows, I decided to still go clockwise using two squares at a time, except this time I used three rows
at a time.
Later she added:
First, I imagined how you could use the most number of tiles up using more than two of the same colour; you would follow it all the way around, clockwise. Then I decided to try two rows at a time for example: You start at the top right orange corner. Go right 1 then down 1, right 1 and up 1.
Continue until you reach the corner. Enter the corner diagonally then 1 across and exit diagonally as demonstrated in the picture when you have gone the whole way round enter the next rows diagonally and repeat, this time three rows at a time. When there is only three squares left, enter straight into the middle.
Daya from Brackenbury Primary School sent in these as their progression:
Thank you for all these solutions that you sent in, if any other pupils can find a way of leaving even fewer empty squares then please send them in.
Megan from St. Oswalds Primary School sent in her solution: