Imagine a 4 by 4 by 4 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will not have holes drilled through them?
Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?
Lyndon Baker describes how the Mobius strip and Euler's law can introduce pupils to the idea of topology.
Try out these calculations. Are you surprised by the results?
Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
The Number Jumbler can always work out your chosen symbol. Can you work out how?
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
