### 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.

# Here to There 1 2 3

##### Stage: 1 Challenge Level:

Olivia and Poppy from St Mary's School, and Yanqing from Lipson Community College all suggested that the smallest total they could find is 8 using the route: 1-2-1-1-1-1-1.

Eva who goes to Benenden School sent in the largest total and describes the route:

1 (right to) 2 (right to) 1 (right to) 2 (down to) 1 (left to) 3 (left to) 3 (left to) 2 (down to) 1 (down to) 2 (right to) 1 (up to) 1 (right to) 1 (down to) 3 (right to) 1 Total = 25

Eva also sent in a path that made 12:

1 (right to) 2 (down to) 3 (down to) 1 (right to) 1 (down to) 3 (right to) 1

Emma from Maryhill High School found a different route that also has a total of 12:

1-2-3-3-1-1-1

Children at New Earswick Primary School found some other solutions to make 12:

Alex found:

1(right to) 2 (down to) 3 (down to) 1 (down to) 1 (right to) 3 (right to) 1.

Ben found:
1 (down to) 2 (right to) 3 (right to) 3 (down to) 1 (right to) 1 (down to) 1.

Josh found:
1 (down to) 2 (right to) 3 (right to ) 3 (right to) 1 (down to) 1(down to) 1.

Perhaps one of the last two is the same as Emma's - but well descibed, Alex, Ben and Josh.