1 out of 3
I want some cubes painted with three blue faces and three red faces. How many different cubes can be painted like that?
3 out of 3
Triangle ABC has equilateral triangles drawn on its edges. Points P, Q and R are the centres of the equilateral triangles. What can you prove about the triangle PQR?
2 out of 3
Which of these triangular jigsaws are impossible to finish?
1 out of 3
When Charlie retires, he's looking forward to the quiet life, whereas Alison wants a busy and exciting retirement. Can you advise them on where they should go?
3 out of 3
This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.
1 out of 3
Explore the lattice and vector structure of this crystal.
2 out of 3
2 out of 3
A mother wants to share some money by giving each child in turn a lump sum plus a fraction of the remainder. How can she do this to share the money out equally?
2 out of 3
Can you describe this route to infinity? Where will the arrows take you next?
2 out of 3
Two ladders are propped up against facing walls. At what height do the ladders cross?
