### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### Calendar Capers

Choose any three by three square of dates on a calendar page...

### Building Tetrahedra

Can you make a tetrahedron whose faces all have the same perimeter?

# Funny Factorisation

##### Age 11 to 16 Challenge Level:

Some 4 digit numbers can be written as the product of a 3 digit number and a 2 digit number using each of the digits $1$ to $9$ once, and only once.

The number $4396$ can be written as just such a product.

Can you find the factors?

Maths is full of surprises!
The numbers $5796$ and $5346$ can each be written as a product like this in two different ways.

Can you find these four funny factorisations?

Extension

There are two more funny factorisations to find, using each of the digits $1$ to $9$ once, and only once.
Can you fill in the blanks in the multiplication below to find one of them?

If you know a bit about computer programming, you may wish to write a program to find the final funny factorisation.