Practising a mathematical skill doesn't need to be tedious... dust off your angle, algebra and adding fractions skills, and put them to good use solving this set of problems!
problem
Favourite
Triangles in circles
Can you find triangles on a 9-point circle? Can you work out their angles?
problem
Favourite
Cyclic quadrilaterals
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?