### What's Possible?

Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?

### What's it Worth?

There are lots of different methods to find out what the shapes are worth - how many can you find?

### Magic Squares for Special Occasions

This article explains how to make your own magic square to mark a special occasion with the special date of your choice on the top line.

# Simultaneous Multiplying

##### Stage: 4 Short Challenge Level:

$10\frac{1}{2}$

From the three equations we see that $(abc)^2=2\times 24\times 3=144$ and so, since $abc$ is positive, $abc=12$. Then the third equation tells us that $a=1/2$, the second that $b=4$ and the first that $c=6$. Therefore $a+b+c=10\frac{1}{2}$.

This problem is taken from the UKMT Mathematical Challenges.