### 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

##### Age 5 to 7 Challenge Level:

Sarah, Aleisha, Samuel and Jesse from Rutherglen Primary wrote to say:

We had fun doing this, and it was fairly easy the way we understood it. The hardest part was making sure we had the right twenty one pieces in the first place, because we used some old mixed sets from school. We worked out a great system to check we had what we needed though!

Joining to $6$.
This was really easy, we all had lots of fun doing this we all liked it.

Joining to $7$.
This was a bit tricky but we all worked as a team and got it done. We also worked out that the blank ones had to be left out.

Joining to $5$.
This one was easy because we knew that we had to get the sixes out of the road so it can work.

Joining even.
This was easy because we just had to put two even numbers or two odd numbers together and it will make an even number.

Joining odd.
This was easy because we got help off the even one a bit. Then we just kept on working really hard as a team and got it done.

Joining even then odd.
We did this one for a bit of fun and we had lots of fun. We had to work out what will fit together and what won't.

Well done all of you. Tom from Crawley Down Village C of E School told us:

Dominoes adding up to $6$ (which also solves the even number problem):
Leave out: $1/4, 5/6, 2/0, 4/3, 2/5, 5/1$
I just tried different combinations.

Dominoes adding up to $7$ (which also solves the odd number problem):
Leave out: $0/1, 0/2, 0/3, 0/4, 0/5, 0/6$
I worked out that you couldn't have dominoes with zeros because it wouldn't add up to $7$.

Dominoes adding up to $5$:
Leave out: $6/0, 6/1, 6/2, 6/3, 6/4, 6/5$
I worked out that you couldn't have dominoes with six because it would be too much.

Good reasoning, thank you Tom. Alex from Heathfield sent in some different solutions:

Adding to $6$:

Adding to $7$:

Adding to $5$: