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?
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
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.