### 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.

# Getting the Balance

##### Stage: 1 Challenge Level:

Daniel from Englefield Infant School had a go at this challenge. First he tried 8 and 3 on the left, as the question suggested:

8+3=1+2+8
8+3=1+3+7
8+3=1+4+6
8+3=2+3+6
8+3=2+4+5

I like the way you have written these in a very logical order, Daniel. Well done! Next, Daniel tried 10 and 9 on the left side of the balance:

10+9=1+8+10
10+9=2+7+10
10+9=2+8+9
10+9=3+6+10
10+9=3+7+9
10+9=4+5+10
10+9=4+6+9
10+9=4+7+8
10+9=5+6+8

Fantastic! Izzy from Tonbridge Grammar School reminds us that:

Whatever the sum of numbers of weights on one side add up to has to be equal with the mass of weights on the other.

Thank you to you both.