List

Powers and roots

Sticky Numbers
problem

Sticky Numbers

Age
11 to 14
Challenge level
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Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?
Pocket money
problem

Pocket money

Age
11 to 14
Challenge level
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Which of these pocket money systems would you rather have?
Power Countdown
problem

Power Countdown

Age
14 to 16
Challenge level
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In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.
Generating Triples
problem

Generating Triples

Age
14 to 16
Challenge level
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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
problem

Standard Index Form Matching

Age
14 to 16
Challenge level
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Can you match these calculations in Standard Index Form with their answers?
A question of scale
problem

A question of scale

Age
14 to 16
Challenge level
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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?


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