Powers and roots

For how many integers 𝑛 is the difference between √𝑛 and 9 is less than 1?

Simple additions can lead to intriguing results...

A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?

Find the smallest value for which a particular sequence is greater than a googol.

Can you work out the irrational numbers that belong in the circles to make the multiplication arithmagon correct?

Explore the relationships between different paper sizes.

How did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

Powers of numbers might look large, but which of these is the largest...

10 must remain within easy reach...

The English mathematician Augustus de Morgan has given his age in algebraic terms. Can you work out when he was born?