Can you make a tetrahedron whose faces all have the same perimeter?
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?
What is the area of the quadrilateral APOQ? Working on the building
blocks will give you some insights that may help you to work it
The three circles in the diagram have the same centre and have radii 3cm, 4cm and 5cm. What percentage of the larger circle is shaded?
This problem is taken from the UKMT Mathematical Challenges.