Inequalities

Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

Powers of numbers might look large, but which of these is the largest...

10 must remain within easy reach...

Can you solve this inequalities challenge?

Can you prove our inequality holds for all values of x and y between 0 and 1?

Can you find a quadratic equation which passes close to these points?

Farey sequences are lists of fractions in ascending order of magnitude. Can you prove that in every Farey sequence there is a special relationship between Farey neighbours?

Use the diagram to investigate the classical Pythagorean means.

The challenge is to find the values of the variables if you are to solve this Sudoku.