The mean of three numbers x, y and z is x.

What is the mean of y and z?

This problem is taken from the UKMT Mathematical Challenges.

You can find more short problems, arranged by curriculum topic, in our short problems collection.

Circle properties and circle theorems. Regular polygons and circles. Mathematical reasoning & proof. Simultaneous equations. Creating and manipulating expressions and formulae. Expanding and factorising quadratics. Inequalities. 2D shapes and their properties. Polynomial functions and their roots. Generalising.