Printable NRICH Roadshow resource

Kimie and Sebastian were making sticks from interlocking cubes. Kimie made blue sticks two cubes long. Sebastian made red sticks three cubes long. They both made a lot of sticks.

Kimie put her blue sticks end to end in a long line. Sebastian put his red sticks end to end in a line underneath Kimie's.

Can they make their lines the same length? How many sticks could Kimie use? How many would Sebastian put down? How long is the line altogether?

Can they make any other lines?