Sissa cleverly asked the King for a reward that sounded quite modest but turned out to be rather large...

In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.

Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?

What power of 27 is needed to get the correct power of 3?

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

Given these equations with unknown powers $x$ and $y$, can you work out $xy$?