If you had 36 cubes, what different cuboids could you make?
Age 7 to 11 Challenge Level:
Here are two different Cuisenaire rods:
How many different ways can you find to line them up end to end?
How many different ways are there to line them up if both rods are the same?
Now there are three different rods:
In how many different ways can you line up the three rods?
Imagine two of the rods are the same. How many different ways are there to line them up now?
How many different ways are there if all the rods are the same?
What would happen if there were four different rods? How many ways can you line them up now?
If two rods are the same, how many ways could you line them up?
And how many ways are there to line them up if three are the same?
How about if they are all the same?
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.