### 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.

### Diggits

Can you find what the last two digits of the number $4^{1999}$ are?

### Tenth Power

Weekly Problem 48 - 2011
Do these powers look odd...

# Megabytes and Kilobytes

##### Age 11 to 14 Short Challenge Level:

$1$ kilobyte is actually not $1000$ bytes, it is $2^{10}$ bytes.

$1$ megabyte is $2^{10}$ kilobytes.

How many bytes are there in $1$ megabyte?

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