### 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.

# Carry Over

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

$UK$ means $10U + K$ and $SMC$ means $100S + 10M + C$, so we have $$10U+K+4=100S+10M+C$$ The left hand side is at most $$10 \times 9 + 8 + 4 = 102$$ so $$100S+10M+C \leq 102$$ Therefore $S \leq 1$, so $S=1$ (since it can't be zero). So $$10M+C \leq2$$ So $M=0$

$M$ has the lowest value.

This problem is taken from the UKMT Mathematical Challenges.