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### Number and algebra

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### For younger learners

# Rough Root

Which of these is closest to $\sqrt{\dfrac{10 000}{2012}}$?

*This problem is taken from the World Mathematics Championships*

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Age 14 to 16

ShortChallenge Level

- Problem
- Solutions

Which of these is closest to $\sqrt{\dfrac{10 000}{2012}}$?

a) 1.9

b) 2.2

c) 2.5

d) 2.7

b) 2.2

c) 2.5

d) 2.7

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

If the base of a rectangle is increased by 10% and the area is unchanged, by what percentage is the width decreased by ?