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?
This challenge is to design different step arrangements, which must
go along a distance of 6 on the steps and must end up at 6 high.
Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?
Jack, Alice, Phoebe, Eva and Holly from
Georgeham C of E School explained their findings:
So, I think that makes eight ways in total.
I love the way you have done this in a careful order.
As Chelsea from Templars Primary said:
Laura sent in her solution as pictures copied
from the interactivity, which is very helpful - thank you,
Here is her solution to the first challenge
which we can compare with the solution from Georgeham:
Laura's pictures are in a slightly different
order to the children from Georgeham's. I wonder which you
think is more systematic?
Here Laura shows the thirteen different ways
to make the green rod using reds and whites:
Would you have done them in the same
order? Why or why not?