These two group activities use mathematical reasoning - one is
numerical, one geometric.
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
Andrew and Michael from Old Earth
Primary, and Sam, Harry, Molly and Callum from St Nicolas C of E
Junior School, Newbury started this challenge in the same way. Here
is what Sam and Harry said:
Andy and Michael expanded a bit on
In other words, the dots in the four
corners must make a total of 2 dots. The only ways to have a total
of 2 dots is by having one corner with 2 dots and the others all
blank, or two corners blank and two with one dot.
Sam and Harry found this solution which had 2
dots in one corner and the other corners blank:
Ellie and Kerry from Stoke Mandeville
Combined School also sent a picture of the same solution. Thank
you! Andrew and Michael found a different solution, using 2 dots in
Rather than draw dominoes, they have
chosen to write digits to represent the spots, which might be a bit
Livvy and Connor from Cutthorpe got out their
dominoes and experimented. They also found a solution with just 2
dots in one corner:
Abbas, Alfin, Yasemin and Godwin from
Archbishop Lanfranc also found the solution above. Lucy from
Middlefield School said:
Lucy discovered another way to arrange
the dominoes with 2 dots in one of the corners:
Tom and Ted from Ysgol Abergynolwyn
thought that blanks worked best in the corners and they found yet
another way using a 2 in one corner:
Are there any more ways to arrange the
dominoes with a 2 in one corner and the other corners blank? Let us
know if you find any.
Molly and Callum from St Nicolas C of E
Junior School, Newbury found a solution
which has two blanks and two ones in the corners:
We also had three other solutions sent
in which had two blanks and two ones in the corners. Here is Nick's
(who goes to the English College in Dubai):
Rebecca and Amy from Sawtry CC sent this
one, saying that they used trial and error to work this out,
starting with the double 3 on the top line and working
And Rachael from Old Earth Primary sent
So many solutions! But are there any others
with two ones and two blanks in the corners? Do let us know.