### Building Tetrahedra

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?

### Areas and Ratios

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 out.

# Ratio Riddle

##### Stage: 4 Short Challenge Level:
See all short problems arranged by curriculum topic in the short problems collection

The ratio $a : b = 2 :3$ and the ratio $a : c = 3 : 4$. What is the ratio $b : c$?                                                                                                                                                                                                                         If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.