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?
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?
Find a great variety of ways of asking questions which make 8.
In Sam and Jill's garden there are two sorts of ladybirds. There are red Seven-Spot ladybirds with $7$ black spots and shiny black Four-Spot ladybirds with $4$ red spots.
Sam and Jill looked at a leaf with three ladybirds on it.
"One Seven-Spot ladybird," said Sam, "and two Four-Spot ones."
"That's $15$ spots altogether!" laughed Jill.
"I wonder if we could find ladybirds whose spots add to other numbers. I know how to do $16$."
"And $14$ is easy too," added Sam.
How would you make $16$ and $14$ spots with the Seven-Spot and Four-Spot ladybirds?
What other numbers can you make with adding $4$s and $7$s?
Can you get lots of numbers from say $4$ to $35$?
Are there some numbers you can't get?