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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?

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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?

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Let's Investigate Triangles

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

3 Blocks Towers

Age 5 to 7 Challenge Level:

Take three different colour blocks, maybe red, yellow and blue.
Make a tower using one of each colour.
Here's one with red on top, blue in the middle and yellow on the bottom.

Now make another tower with a different colour on top.

How many different towers can you make?

When you are sure you have found them all, try it with four colours.

You may like to print off one of these sheets for recording three-block towers. Here are sheets for recording four-block towers.

Click here for a poster of this problem

Printable NRICH Roadshow resource.