Powers and Roots

This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.

Sticky Numbers

Age 11 to 14 Challenge Level:

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

Pocket Money

Age 11 to 14 Challenge Level:

Which of these pocket money systems would you rather have?

Powers and Roots - Short Problems

Age 11 to 16

A collection of short problems on powers and roots.

Generating Triples

Age 14 to 16 Challenge Level:

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?

Standard Index Form Matching

Age 14 to 16 Challenge Level:

Can you match these calculations in Standard Index Form with their answers?

Power Countdown

Age 14 to 16 Challenge Level:

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

A Question of Scale

Age 14 to 16 Challenge Level:

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?

You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.