EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
Find a great variety of ways of asking questions which make 8.
If you had any number of ordinary dice, what are the possible ways
of making their totals 6? What would the product of the dice be
There are several correct answers to the
second part of the problem including:
Richard from Burlingame School used a
systematic approach to help him find the answer to the second part
of the problem:
What I did was multiply each number by $2$, then $3$, then $4$,
etc till I found a pattern. If you multiply the number by $6$, you
come out with a number $10$ less than the answer. I simply added
ten, then subtracted $0$ to give me the answer.
Quite a few of you used a really useful
technique to help find the solution more efficiently including
Marley and Jake from Swarcliffe Primary and Shiv from Mayplace
Primary School. Ester sent in a nice solution:
The numbers are CONSECUTIVE going in and HAVE A DIFFERENCE OF
$6$ coming out. This tells us that there must be a multiplication
by $6$ somewhere.
She also spotted that there was more than one
If $\times 6$ is in the middle circle some solutions could
$+2, \times 6, -2$
$+1, \times 6, +4$
$-1, \times 6, +16$
If you multiply by six first you have to add or subtract in the
last two circles so that the result is $+10$
You cannot make the $\times 6$ the last thing you do because the
numbers coming out are not in the six times table.
As you can see, there are lots of possible
solutions using multiply by $6$ as one of the functions, but you
can also split multiplying by $6$ into multiplying by $3$ and
multiplying by $2$, or as several pupils from the Mount School in
York observed, multiplying by $12$ and dividing by $2$.