### Round and Round the Circle

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

### Making Cuboids

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

# Exploring Number Patterns You Make

##### Age 7 to 11 Challenge Level:

If you're a teacher read the notes here first.

### Have a go at becoming a detective!

Start by watching this video:

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You can now explore this further. Click on the picture to get started.

When you've explored what you can do with $3 \times 4 - 5$ then it's time to explore further.
You could change just one part of the number plumber, for example the $-5$ bit.
You might try $3 \times 4 - 6$ or $3 \times 4 + 5$ or $3 \times 3 - 5$ and compare the results.
You'll have lots of your own ideas about things to explore too.

Mathematicians like to ask themselves questions about what they notice.
What possible questions could you ask?

These questions may lead you to come to some decisions about what can happen.