problem Collatz-ish Age 14 to 16 Challenge level A sequence is generated using these rules. For which values of n is the nth term equal to n?
problem Take a Leaf Age 11 to 14 Challenge level An examination paper is made from five pieces of paper. What is the sum of the other page numbers that appear on the same sheet as page 5?
problem Fencing Age 7 to 11 Challenge level Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
article Pattern Sniffing This article for primary teachers outlines how we can encourage children to create, identify, extend and explain number patterns and why being able to do so is useful.
problem Strange Bank Account Age 11 to 14 Challenge level Imagine a very strange bank account where you are only allowed to do two things...
problem Fence it Age 11 to 14 Challenge level If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
problem Beelines Age 14 to 16 Challenge level Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
project Investigating Epidemics Simple models which help us to investigate how epidemics grow and die out.
problem Simply Graphs Age 16 to 18 Challenge level Look for the common features in these graphs. Which graphs belong together?