For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
01/29/2013

PROBLEM #1

What 5-digit number has the following features:

If we put the numeral 1 at the beginning, we get a number three times smaller than if we put the numeral 1 at the end of the number.

PROBLEM #2

There is one four-digit whole number n, such that the last four digits of n² are in fact the original number n.

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Problems from 01/17/13

PROBLEM #1

A 11Ã—11 square is cut into integer-sided rectangles with areas in the teens. What are the the lengths and widths of the cut rectangles?

SOLUTION 1

PROBLEM #2

A triangle with sides 21, 42, and 42 is divided into into 6 similar triangles with different sizes. What are the sides of new triangles?

SOLUTION 2

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