Can you find which shapes you need to put into the grid to make the
totals at the end of each row and the bottom of each column?
Stage: 2 Challenge Level:
Do you know any divisibility rules?
A number is divisible by $3$ if its digits, when added together,
are divisible by $3$. For example, take $174: 1 + 7 + 4 = 12$ which
is divisible by $3$. You can add it as many times as you want. $12:
1 + 2 = 3$
A number is divisible by $6$ if it is an even number and it is
divisible by $3$.
A number is divisible by $4$, if the tens and units form a number
which is divisible by $4$, for example $732$ and $9048$ are
divisible by $4$ (because $32$ and $48$ are divisible by $4$, but
$338$ and $2342$ are not (because $38$ and $42$ are not divisible
by $4$). (Why does this work?)
It could be a good idea to make a table to keep track of where the
digits $1$ to $6$ could go.
Where will the even numbers have to go?
So what about the odd numbers?
Where will the $5$ have to go?
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.