## The Set of Numbers

Can you place the numbers from $1$ to $10$ in the grid (or matrix) below?

Now try putting the same numbers in this grid:

### Why do this problem?

This problem is a good introduction to matrices. It provides experience in completing tables as well as offering plenty of number work.

### Possible approach

Modelling how to fill in matrices like these might be a good place to start as pupils may not have encountered them before. You may find

these sheets useful.
### Key questions

Is this number odd or even?

Which tables will you find this number in?

How about going through the numbers in order, starting with $1$?

Is $1$ a multiple of $2$? Is it greater than $5$?

### Possible extension

Learners could try a slightly more difficult problem using multiples

Grouping Goodies or a much harder one with a table to complete,

Mystery Matrix.
### Possible support

Suggest using numbered counters and

these sheets.