Squares

Puzzles

• add.oneIs there an 8-digit square that is still a square when a 1 is written in front of it? New
• change.leadingWhat squares remain squares when their leading digits are incremented?
• length.22Is it possible to form two numbers A and B from 22 digits such that A = B^2? Added material
• length.9Is it possible to make a number and its square, using the digits from 1 through 9 exactly once?
• three.digitsWhat squares consist entirely of three digits (e.g., 1, 4, and 9)?
• twinLet a twin be a number formed by writing the same number twice, for instance, 81708170 or 132132.