Here is a balance. It has a hook on each end from which you can
My weights are numbers - I have $1$s, $2$s, $3$s, $4$s, $5$s, $6$s,
$7$s, $8$s, $9$s and $10$s.
If I put a $2$ on one side and two $1$s on the other side, it is
If I put a $3$ on one side, I would need three $1$s to make it
balance. How else could I make it balance with just a $3$ on one
If I had a $3$ and a $4$ on one side and three $2$s on the other
side, what do I need to add to make it balance and where?
I hang a $10$ on one side. How many different ways can you find of
hanging numbers on the other side to make it balance?
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.