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Age 14 to 16

ShortChallenge Level

- Problem
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If $p$ is a positive integer and $q$ is a negative integer, which of the following is the greatest?

$p-q$ $q-p$ $p+q$ $-p-q$

This problem is taken from the UKMT Mathematical Challenges.

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

In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

Substitute -1, -2 or -3, into an algebraic expression and you'll get three results. Is it possible to tell in advance which of those three will be the largest ?