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.
Every month, one problem will attract
more problem solvers than any other. This month it was
Twenty Divided into Six . What an
enormous number of replies we had to this. Many of the replies came
from whole classes and different years in schools from many
A special welcome to the some
newcomers, pupils at St
Aldhelm's , C.E.V.A. Combined
School in Poole in Dorset. We hope you continue to use the site and
use all the great skills you showed this month to solve the NRICH
problems. Thank you to special friends of NRICH -
School , Tattingstone Primary
School and Burgoyne
Maths Club as well as
School in Wellington, New
Zealand, Nan Hua Primary
School , Singapore,
Higher Bebington Junior
School , Rosebank
Primary School Leeds, and
C of E School.
Not only were
there many responses there were also many solutions to this
problem. Below, are a selection of the possibilities. I wonder if
you could add to the list. In fact, I wonder if you could find a
way of discovering how many possible answers there are to this
question. Now there's a challenge!!
The problem took more planning and
moving of numbers than people realised at first. One strategy was
explained by pupils Emma and Hollie
of Moorfields Junior School:
We added up all
the numbers up to 20 and divided the total by 6.
Next step was described by their
... we paired up all of the numbers and then we
started to move the numbers into groups.
attempts to make six equal piles with twenty cards, we abandoned
this because we couldn't make twenty (the number of cards) with 6
I began with 20+15
and....the rest was just matching up.
Have a look at
these solutions to see if yours is amongst them or if you have the
same solution. Perhaps you had some solutions from one set and some
from another. Would it be possible to have one answer from many
different sets of possibilities? What reason do you have for your
answer to that question?
These solutions were a selection
representing the hundreds that were sent in. The senders of these
from Rosebank Primary in Leeds,
Ong of Nan Hua Primary in Singapore, Martin
from Robert Kett Junior School in
and Lucy from Lazonby C of E School, Joshua
from Higher Bebington Juniors,
and Luke of Moorfiled Junior School, and members of the Burgoyne