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Rooted Via 10

How many of the numbers shown are greater than 10?

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Largest Expression

Which of these five algebraic expressions is largest, given $x$ is between 0 and 1?

Root 2017

Age 14 to 16 Short Challenge Level:

Answer: 44 and 45


Squaring numbers to get close to $2017$
$40^2=1600$ too small
$50^2=2500$ too big, so $\sqrt{2017}$ is between $40$ and $50$.

$45^2=2025$, very close but a bit too big
$44^2=1936$, too small, so $\sqrt{2017}$ is between $44$ and $45$.


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