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.
This was a great problem! I don't think anybody spotted the fact that
there was more than one solution, but we had the four different
solutions sent to us individually.
Gaven from Forres Primary, Lucy and Richard who go to Flitcham V.A
Primary School, and Ruth from Swanbourne House School all arranged their
numbers like this:
Whichever way you arrange the numbers, there will be one diagonal line
with three numbers the same. So you have to work out which of the
numbers, when multiplied by three, will come to the total you want in
each of the rows.
This number is always the middle number of three when you choose three
Well noticed Ruth!
Katrina from Indian Ridge Middle School and Rachel from Histon and
Impington Infant School both found another solution:
Rachel told us how she went about tackling the problem:
I added up 1, 2 and 3 to make 6, and tried to make each row add up to
this. I started putting a 1 in the top right corner, and tried to put
one of each number on each row or column. I nearly gave up when I saw
all the 2's on the diagonal, but then I spotted that 2 plus 2 plus 2
also adds to 6.
Kim from Bottisham Village College and Natasha and Nathaniel both from
Moorfield Junior School sent in a different solution again:
And the final solution was sent in by William who also goes to Moorfield