# Back to the Planet of Vuvv

##### Age 11 to 14

Challenge Level

### Why do this
problem?

This
problem one which requires some knowledge of both place value
and different bases. Working in another base can help with real
understanding of our base-$10$ number system.

You could start this by either explaining or re-visiting
counting in a base such as $6$. Base $7$ could be introduced using
the days of a week as an example.

### Key questions

If Zios count in $3$s, what will their first 2-digit number be
in human numbers?

If Zepts count in $7$s, what will their first 2-digit number
be in human numbers?

What is $122, 22, 101, 41$ in Zio counting?

What is $122, 22, 101, 41$ in Zept counting?

Would drawing a sketch help with sorting out the four compass
points?

### Possible extension

Learners could make a similar puzzle for themselves, or go on to
this similar problem:

Basically.

### Possible support

Suggest trying

Alien Counting
instead which is a simpler problem of the same type.