Castle

You can position 10 defenders of a square castle so that on every side there will be 5 men.

Solution:
Place men on the corners in one of the configurations below.

5 - - - - - - - 0
|                     |
|                     |
|                     |
0 - - - - - - - 5

4 - - - - - - - 1
|                     |
|                     |
|                     |
1 - - - - - - - 4

3 - - - - - - - 2
|                     |
|                     |
|                     |
2 - - - - - - - 3

Contribute!

Know how math applies to real life, a new discovery in math, a math tidbit or an unsolved math problem? Submit a "Did You Know?" entry to the site!

You must be signed in. Don't have an account? Register here!

The most common question students ask math teachers at every level is “When will I use math?” WeUseMath.org is a non-profit website that helps to answer this question. This website describes the importance of mathematics and many rewarding career opportunities available to students who study mathematics.


 

Physician
$187,199/yr
Attorney
$187,199/yr
Actuary
$160,000/yr
Cryptanalyst
$137,780/yr
$126,000/yr
$166,400/yr
Urban Planner
$98,060/yr
Chemist
$116,130/yr
$187,199/yr
$82,990/yr

Figures represent salary potential.

20
May

Dr. Cary Oberije, a postdoctoral researcher in The Netherlands, has found that mathematical models can be used to accurately predict patients' responses to treatment. Prediction models were used to analyze lung cancer patients' likelihood of survival and...

read more