### 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.

# Named Products

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

In the equation $\frac{E\times I\times G\times H\times T } {F\times O\times U\times R }= T\times W\times O$ .

The same letter stands for the same digit and different letters stand for different digits.

What is the value of the product $T\times H\times R\times E\times E$?

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.