Powers and Roots

Sissa's Reward

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

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

Power Countdown

Stage: 4 Challenge Level: Challenge Level:1

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

Generating Triples

Stage: 4 Challenge Level: Challenge Level:1

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?

Power of 3

Stage: 4 Short Challenge Level: Challenge Level:2 Challenge Level:2

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

Megabytes and Kilobytes

Stage: 3 Short Challenge Level: Challenge Level:1

How many bytes are there in one megabyte?

A Question of Scale

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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?

Huge Powers

Stage: 4 Short Challenge Level: Challenge Level:2 Challenge Level:2

Can you put these numbers in order?