Math Puzzle of the Week
January 12, 2009
Algebra: What is the mean of all numbers from 1 to 100 which are divisible by 4?
From the Jordan Middle School Einstein Problem Sets.
Answer available
January 19,
next puzzle.
Answer to math puzzle of
January 5
:
Algebra: The number of days in a non-leap year, 365, is special because it is the sum of 3 squares. What are they?
From the Jordan Middle School Einstein Problem Sets.
Solution: Easy, because there are 4 combinations!
18
2
+ 5
2
+ 4
2
= 324 + 25 + 16 or
16
2
+ 10
2
+ 3
2
= 256 + 100 + 9 or
14
2
+ 12
2
+ 5
2
= 196 + 144 + 25 or
12
2
+ 11
2
+ 10
2
= 144 + 121 + 100 which is, remarkably, the sum of three consecutive squares!
For more math puzzles, check out
http://www.mathpuzzle.com/
,
http://mathschallenge.net/
,
http://www.princeton.edu/~mathclub/puzzles4.html
and
http://mathforum.org/k12/k12puzzles/
©copyright 2009, Louis Bookbinder -
booky1@earthlink.net
updated 25 February 2009
.