This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?
In the café, your ice cream selection can't include a combination that someone else has chosen. What could these seven children have chosen?
Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?
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?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
