How long can you make a single sheet?
What is the best design for an aeroplane?
Why not test tunnels to see which collapses soonest?
Alternatively, why not test how strong a sheet of paper is?

Is wet paper stronger than dry?
What happens when using sheets of filter paper?

How thick is a sheet of paper?
How heavy is it?
How porous?
How expensive is it?

How about:
cylinders
cones
tapering lamp shades - frustrums of cones