### 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.

# 2,4,6,8

##### Stage: 1 Challenge Level:

Jane and Sanjev sent us the following answer:

First we tried to make a statement using the plus on one side of the equals sign and the minus on the other, but we couldn't find one.

Then we tried to use the plus and the minus on the same side, and we got 2 + 8 - 6 = 4.

Then we tried to see what statements we could make starting with the number 2 :

2 + 4 = 6
2 + 6 = 8
2 + 8 - 4 = 6
2 + 8 - 6 = 4

We could not find any more.

4 + 2 = 6
4 + 6 - 8 = 2
4 + 6 - 2 = 8

and with the number 6 :

6 + 2 = 8
6 + 4 - 2 = 8
6 + 4 - 8 = 2

and with the number 8 :

8 + 2 - 4 = 6
8 + 2 - 6 = 4
8 - 2 = 6
8 - 6 = 2

And then we can write them all the other way round, so from 2 + 4 = 6 we get 6 = 2 + 4.

That way we made 28 statements.

We have then had a solution from Amelia Earhart Class Year 2 at Newport C of E Primary School, Isle of Wight
Some of those look different when the numbers are put in a different order like 2-4+8=6 which you may consider different to 2+8-4=6.
Thank you for your solution from the Isle of Wight.