Tuesday, January 1, 2013

2013 ... 1 & 2

So, we start another set. It's been a while since I did these. I think I'm going to do them in sequential order instead of the 1&41, 2&40 pattern. This will be easier for me to keep track of.

Simple algebra.

Difficulty: easy.
Difficulty: Easy.
Note: the exponent on the second () changed to -3/2. Sorry about that.

Standard instructions for this series: No calculator allowed. Express answers in reduced form. Rationalize denominators. Radicals must be reduced. All numbers are base ten unless otherwise specified. Do not approximate radicals or π. Leave such answers as 1025π or √39, for example. Source: UVM Math Contest 2013

answer 01, answer 02.


  1. Note that checking against the UVM page shows that the answer 01 here is wrong, and the second term in problem 2 has a power of -3/2 not +3/2.

  2. Glad to help. Love these exercises -- thanks for posting them.

  3. The website only has them back to 2002 so my next task this weekend is to scan the old ones going back to 1972. The school has a "binder" ...

  4. Thanks for bringing back the puzzles. I pass them along to my kids. :)

  5. Glad I checked back and saw the corrections. At first attempt, I couldn't figure out what I was possibly doing wrong... Seeing the corrections restored my faith that I could solve the "easy" problems. Now on to the next.