NRICH: Clever Calculation

Find the shortcut to do this calculation quickly!

Without using a calculator, or performing any long multiplication calculations, find the value of

20172 - 2015 \times 2019

This problem is taken from the World Mathematics Championships

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

Age 14 to 16

Math Topics Resource Audience

Addition & Subtraction, Quadratic Equations

High School

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NRICH (University of Cambridge)

The links below take you to a selection of short problems based on UKMT junior and intermediate mathematical challenge questions.

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