**Dear Students,**

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**Elementary Brain Teaser**

*Find the 3 Digits - November 04, 2013*

I am a three digit number greater than 200. My ten’s digit is greater than my hundred’s digit. My one’s digit is four times (greater) my hundred’s digit. My ten’s digit is an odd number divisible by three.

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**Middle School Madness**

*90 and 180 - November 04, 2013*

Complimentary angles sum to 90 degrees. Supplementary angle sum to 180 degrees. If a given angle has a complement that is four ninths of its supplement. In degrees, what is the angle’s measure? (note: the given image is not associated with the problem)

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**Problem of the Week**

*How Big is a Trillion - November 04, 2013*

**Part 1.** First determine the sum of all the digits needed to write each counting number from 0 through 1,000,000,000,000. For example, the sum of all the digits needed to write each counting number from 18 through 23 would be 1+8+1+9+2+0+2+1+2+2+2+3=33.

**Part 2.** Next, find the sum of the digits of the sum found in number 1. In other words, for 18 through 23, the sum of all of the digits was 33, and the sum of the digits of that sum is 3 + 3 = 6.

**Part 3.** Finally, only submit your sum of the digits for the sum of the digits or simply the answer you determined for part 2.

*Simply submit your answer to part 2.*

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**Algebra in Action**

*2376 - November 04, 2013*

To answer this puzzler, you must provide the difference of the values determined in part 1 and part 2.

*Part 1: Determine the least positive integer by which 2376 can be multiplied by so that the product is a perfect square. *

*Part 2: Determine the least positive integer by which 2376 can be multiplied by so that the product is a perfect cube. *