How much do you have to turn these dials by in order to unlock the
Can you describe the journey to each of the six places on these
maps? How would you turn at each junction?
The triangles in these sets are similar - can you work out the
lengths of the sides which have question marks?
Watch this film carefully. Can you find a general rule for
explaining when the dot will be this same distance from the
Where will the point stop after it has turned through 30 000
degrees? I took out my calculator and typed 30 000 ÷ 360. How
did this help?
Can you explain why it is impossible to construct this triangle?
A dot starts at the point (1,0) and turns anticlockwise. Can you
estimate the height of the dot after it has turned through 45
degrees? Can you calculate its height?
Dante, Jack and Jemma all solved this problem. Jamie even sent in a
challenge of his own!
Go to last month's problems to see more solutions.
A description of how to make the five Platonic solids out of paper.
A Sudoku with a twist.
How good are you at estimating angles?