A red square and a blue square overlap. Is the area of the overlap always the same?
The area of a square inscribed in a circle with a unit radius is 2. What is the area of these other regular polygons inscribed in a circle with a unit radius?
Is it possible to find the angles in this rather special isosceles triangle?
A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?
It is impossible to trisect an angle using only ruler and compasses but it can be done using a carpenter's square.
A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?
What is the same and what is different about these circle questions? What connections can you make?
The product of Mary's age at her last birthday and her age in complete months is 1800. How old is Mary?
