We received a solution to the first part of the problem from Andrei Lazanu (Age 12) of School NO. 205 in Bucharest and from Chong Ching Tong, Chen Wei Jian and Teo Seow Tian from Secondary 1B, River Valley High School in Singapore. Well done to you all.

The diagram below shows how the students from River Valley High School combined the original tetronimo, together with 15 copies of itself, to cover the eight by eight chessboard.

Can anyone now solve the rest of the problem?

Can the chessboard be covered with 16 copies of each of the other four tetronimoes?