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).

WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes) Unit Digits of Powers
WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes) Numbers Composed of Only 1's
WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes) Chinese Remainder Problem
WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes) Powers Ending in 01

WB01158_.GIF (255 bytes) - can be solved by an elementary school student
WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes) - can be solved by a middle school student
WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes) - can be solved by a high school student
WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes) - can be solved by a person with a basic knowledge of number theory
WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes)WB01158_.GIF (255 bytes) - can be solved by a person with much mathematical experience and ingenuity

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