These two group activities use mathematical reasoning - one is numerical, one geometric.
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
Can you make sense of these three proofs of Pythagoras' Theorem?
Some people offer advice on how to win at games of chance, or how to influence probability in your favour. Can you decide whether advice is good or not?
This problem explores the biology behind Rudolph's glowing red nose, and introduces the real life phenomena of bacterial quorum sensing.
This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.
In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.
If you know the perimeter of a right angled triangle, what can you say about the area?
