Find all the triples of numbers a, b, c such that each one of them
plus the product of the other two is always 2.
Which rational numbers cannot be written in the form x + 1/(y +
1/z) where x, y and z are integers?
To make 11 kilograms of this blend of coffee costs £15 per
kilogram. The blend uses more Brazilian, Kenyan and Mocha coffee...
How many kilograms of each type of coffee are used?
This problem is taken from the UKMT Mathematical Challenges.