### 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.

### Rooted Via 10

Weekly Problem 22 - 2013
How many of the numbers shown are greater than 10?

### Largest Expression

Weekly Problem 36 - 2006
Which of these five algebraic expressions is largest, given $x$ is between 0 and 1?

# Big Product

##### Age 14 to 16 Short Challenge Level:

The numbers $2^{18}$ and $5^{12}$ are multiplied.

How many digits are in the product?

This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.