Always Perfect
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?
In each of these games, you will need a little bit of luck and your knowledge of place value to develop a winning strategy.
Surprising numerical patterns can be explained using algebra and diagrams...
Can you produce convincing arguments that a selection of statements about numbers are true?
In this article we shall consider how to solve problems such as "Find all integers that leave a remainder of 1 when divided by 2, 3, and 5."