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# Three Block Towers

Click here for a poster of this problem.

Printable NRICH Roadshow resource.

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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?
How will you know that you have found them all?**

You can click below to see how two learners started this task.

I used multilink cubes to make the towers. First of all, I looked for towers that were red at the top.

Elias says:

I drew coloured squares for the blocks. I put them in any old order to start with:

Then I moved red to the bottom and moved yellow and blue up to make a new tower:

I did the same again, moving yellow to the bottom:

I did this again, but realised that would give the first tower. So I went back to my first tower and kept the bottom cube the same, but swapped the top and middle.

Then I moved red to the bottom and moved yellow and blue up to make a new tower:

I did the same again, moving yellow to the bottom:

I did this again, but realised that would give the first tower. So I went back to my first tower and kept the bottom cube the same, but swapped the top and middle.

**Did you start the problem in the same way as either of these children?
What do you think about each method?**

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

Click here for a poster of this problem.

Printable NRICH Roadshow resource.