Three Squares

Daniel from Pewsey Primary, Kieren from St Luke's in Sway, Rebecca from The Grange School and Sports College, Tim and Tom from Stratton Upper School, Lewis from Beaupre Community Primary School and Maisy who learns at home, all agreed that three overlapping squares could make eight squares in total. Maisy sent in a picture which shows very clearly how the three squares are overlapped and where the eight resulting squares are:

Maisy went on to suggest that if four squares are overlapped in a similar way, you can make sixteen squares:

Well done too to Jacob from St Edburgs who found this arrangement of the squares, but didn't quite count them all.

I wonder how many squares we could make from five overlapping squares, or six ...? What would you predict? Why? Perhaps you can test out your ideas.