Knowing arithmetic is much more than just being able
to add, subtract, multiply and divide. These problems illustrate
some of the more advanced topics in arithmetic, including those
from the Number Theory. The difficulty level of these
problems is indicated on a scale of 1-5 with bullets (see more
precise scale at the end of the page).
Unit Digits of
Powers
Numbers Composed of
Only 1's
Chinese Remainder Problem
Powers Ending in 01
- can be solved by an elementary school
student
- can be solved
by a middle school student
- can be solved by a high school student
- can be solved
by a person with a basic knowledge of number theory
- can be solved by a person with much
mathematical experience and ingenuity