Choose two digits and arrange them to make two double-digit
numbers. Now add your double-digit numbers. Now add your single
digit numbers. Divide your double-digit answer by your single-digit
answer. Try lots of examples. What happens? Can you explain it?
Three people chose this as a favourite problem. It is the sort of
problem that needs thinking time - but once the connection is made
it gives access to many similar ideas.
Arrange the Digits
Age 11 to 14 Challenge Level
Can you arrange the digits $1,2,3,4,5,6,7,8,9$ into three $3$ -
digit numbers such that their total is close to $1500$?
You might like to think about how many different ways there are of
getting as close as you can to $1500$.
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.