### 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.

### Pumpkin Pie Problem

Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

### The Moons of Vuvv

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

# Mystery Matrix

##### Stage: 2 Challenge Level:

Have a look at this table square or matrix:

Can you see how it has been constructed?
Why are some numbers in black and some in red?
Can you explain why the red $6$ is in that particular square?
Why is there a $45$ in the bottom right-hand corner?

You will notice that the numbers $2$ - $9$ are used to generate the matrix and only one of these numbers is used twice (the $2$).

Can you fill in the matrix (table square) below?

The numbers $2$ -$12$ were used to generate it with, again, just one number used twice.

You may like to try Missing Multipliers once you've had a go at this task.