Building Tetrahedra

Can you make a tetrahedron whose faces all have the same perimeter?

Rudolff's Problem

A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children. How many men, women and children are there in the group?

Our Ages

I am exactly n times my daughter's age. In m years I shall be ... How old am I?

Root to Poly

Stage: 4 Challenge Level:

Start with the expression $x = 1 + \sqrt2 + \sqrt3$ square and simplify. Take it from there.