You may also like

problem icon

Big Powers

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.

problem icon

Rooted Via 10

How many of the numbers shown are greater than 10?

problem icon

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.