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Three people chose this as a favourite problem. It is the sort of problem that needs thinking time - but once the connection is made it gives access to many similar ideas.
Largest Expression
Which of these five algebraic expressions is largest, given $x$ is between 0 and 1?
Age 14 to 16 Short
Challenge Level
How many four digit whole numbers are perfect squares?
This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.