Prime numbers

Find the smallest positive integer N such that N/2 is a perfect cube, N/3 is a perfect fifth power and N/5 is a perfect seventh power.

Find the smallest numbers a, b, and c such that: a^2 = 2b^3 = 3c^5 What can you say about other solutions to this problem?

The sum of the cubes of two numbers is 7163. What are these numbers?

Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?

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.

These two group activities use mathematical reasoning - one is numerical, one geometric.

This activity creates an opportunity to explore all kinds of number-related patterns.

You'll need to know your number properties to win a game of Statement Snap...