Always Two
Find all the triples of numbers a, b, c such that each one of them plus the product of the other two is always 2.
Find all the triples of numbers a, b, c such that each one of them plus the product of the other two is always 2.
If you know the perimeter of a right angled triangle, what can you say about the area?
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
When is $7^n + 3^n$ a multiple of 10? Can you prove the result by two different methods?
You'll need to work in a group for this problem. The idea is to decide, as a group, whether you agree or disagree with each statement.
When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?
This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?
How can Agent X transmit data on a faulty line and be sure that her message will get through?
I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?