Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.
Jo made a cube from some smaller cubes, painted some of the faces
of the large cube, and then took it apart again. 45 small cubes had
no paint on them at all. How many small cubes did Jo use?
Drawing a triangle is not always as easy as you might think!
Work in groups to try to create the best approximations to these
Can you find a quadratic equation which passes close to these
Unearth the beautiful mathematics of symmetry whilst investigating
the properties of crystal lattices
This very difficult toughnut received a lot of attention over the
last few months. If you wish to see how the pattern was made, read
Go to last month's problems to see more solutions.
Many NRICH tasks have been designed with group work in mind. Read about Jo Boaler's research on the benefits of collaborative work and watch a clip of a teacher working in this way.
Group work depends on effective team work. This article describes
attributes of effective team work and links to "Team Building"
problems that can be used to develop learners' team working skills.