Joe from Bishop Ramsey School looked at the seven mat problem. He said:In this problem it doesn't matter where you start on the diagram. My solution is written in a number of stages:
Many of you answered this part well, including Alistair of Cottenham Primary School.
Kahlia and Amy from Ardingly College Junior School then looked a bit further and tried with other numbers of mats:If the number of tiles is a multiple of 3 it will divide equally into the number of tiles
Amelia and Kathryn, also from Ardingly College Junior School, investigated many different numbers of mats in a very systematic way:
Kahlia and Amy identified a pattern:
Jeff and Raphael from Zion Heights Junior High School relate this back to the strategy for flipping the mats:
So, thinking about this like Kahlia and Amy did, we could say that if the number of tiles is 2 more than a multiple of 3, you add 2 to the answer of the multiple below it.
Well done to everyone who tackled this problem - it wasn't easy at all.