### Homes

There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?

### Number Squares

Start with four numbers at the corners of a square and put the total of two corners in the middle of that side. Keep going... Can you estimate what the size of the last four numbers will be?

### I'm Eight

Find a great variety of ways of asking questions which make 8.

# Domino Join Up

##### Stage: 1 Challenge Level:

You will need a double-six set of dominoes for this problem (a standard set of dominoes) but without the seven doubles (double one, double two etc). That is twenty-one domino pieces in all.

Can you arrange fifteen of the pieces round a track like this so that all the touching domino pieces add to $6$ and the ends join up?

You will have six pieces left over.

Using the same twenty-one pieces, can you now make all the joins add to $7$? Which six pieces will you have to leave out?

Can you now make all the joins add to $5$ using the twenty-one pieces? Which six pieces will you have to leave out now?

Now can you make all the joins add to make an even number? What about all the joins adding to make an odd number?

You may find our Dominoes Environment useful for working on this problem.