Weekly Problem 2 - 2013
After performing some operations, what number is your answer always a multiple of?
Cubes Within Cubes Revisited
Stage: 3 Challenge Level:
This problem demonstrates how a formula can be derived from the
context (rather than "pattern-spotting") in a variety of ways.
It also provides practice in the manipulation of algebraic symbols
and generates generalities that can promote discussions on
equivalent symbolic forms.
A teacher comments: This was a good opportunity to practise
simple and more difficult sequences and generation of formulae,
ranging from linear to cubic. All pupils were able to access the
problem up to (and beyond) their own "natural" ability (Year 9 set
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.