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

Scroll down to see the complete collection, or explore our subcollections on Perimeter and Area in two dimensions, and Surface Area and Volume in three dimensions.

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### Sticky Numbers

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

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### Power Countdown

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

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### Generating Triples

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?

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### Standard Index Form Matching

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

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### A question of scale

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