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| 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 11×11 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
SOLUTION 2
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