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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

2017²−2015×2019

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

STEAM Topics Resource Audience Grade Level Tags
Math Topics
Addition & Subtraction, Quadratic Equations
High School
9th Grade, 10th Grade, 11th Grade
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NRICH
NRICH (University of Cambridge)

NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering all stages of early years, primary and secondary school education – completely free and available to all.

https://nrich.maths.org/
NRICH: Topics in Secondary Mathematics
NRICH (University of Cambridge)

Do you enjoy thought-provoking questions? If so, this is the place for you.

https://nrich.maths.org/9196
NRICH: Short problems for Starters, Homework and Assessment
NRICH (University of Cambridge)

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

https://nrich.maths.org/shorts

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