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