Mathematics Magazine for Grades 1-12  

Math Tricks

Squaring numbers made up of ones

Choose a number made up of ones (up to nine digits).

The answer will be a series of consecutive digits beginning
with 1, up to the number of ones in the given number, and
back to 1.

Example:

If the number is 11111, (5 digits) -

The square of the number is 123454321.
(Begin with 1, up to 5, then back to 1.)

See the pattern?

If the number is 1111111, (7 digits) -

The square of the number is 1234567654321.
(Begin with 1, up to 7, then back to 1.).

Read more on the written version of the publication.