### Latin Numbers

Can you create a Latin Square from multiples of a six digit number?

### Hypotenuse Lattice Points

The triangle OMN has vertices on the axes with whole number co-ordinates. How many points with whole number coordinates are there on the hypotenuse MN?

### Big Powers

Three people chose this as a favourite problem. It is the sort of problem that needs thinking time - but once the connection is made it gives access to many similar ideas.

# Times and Square

##### Age 14 to 16 ShortChallenge Level

__ 5 $\times$ __ 6 = __ 0 , __ 4 $\times$ __ 5 = __ 0 (multiples of 10)
__ 0 $\times$ __ 0 = __ 0 0 (the square of a multiple of 10 is a multiple of 100)