### Number Round Up

Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

### Grouping Goodies

Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

### What Number?

I am less than 25. My ones digit is twice my tens digit. My digits add up to an even number.

# The Set of Numbers

## 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.