Homes

There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?

Stairs

This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.

Train Carriages

Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?

Cuisenaire Counting

Stage: 1 Challenge Level:

I have some rods that are different colours and different lengths.

I could make a yellow rod using white and red rods in many different ways. Here are some of them:

Can you find all the ways to match the yellow rod using reds and whites?

How will you know that you haven't missed any out?

You could use the interactivity below to try out your ideas, or you could use our Cuisenaire Environment.

Full screen version
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The dark green rod is longer than the yellow rod.
Can you find all the ways of matching the dark green rod using white and red rods?
How will you know that you have found them all?

Why not use the interactivity below to find all the ways of matching the dark green rod, or again, you could use our Cuisenaire Environment.

Full screen version

If you can see this message Flash may not be working in your browser
Please see http://nrich.maths.org/techhelp/#flash to enable it.