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NRICH topics: Place value and the number system Infinity

Resources tagged with: Infinity

Content type:
Age range:
Challenge level:

There are 9 NRICH Mathematical resources connected to Infinity, you may find related items under Place value and the number system.

Broad Topics > Place value and the number system > Infinity

Problem Primary curriculum Secondary curriculum

Odds, Evens and More Evens

Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

Age 11 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Diminishing Returns

How much of the square is coloured blue? How will the pattern continue?

Age 11 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Route to Infinity

Can you describe this route to infinity? Where will the arrows take you next?

Age 11 to 14
Challenge Level Yellow starYellow star
Article Primary curriculum Secondary curriculum

All about Infinity

Infinity is not a number, and trying to treat it as one tends to be a pretty bad idea. At best you're likely to come away with a headache, at worse the firm belief that 1 = 0. This article discusses the different types of infinity.

Age 11 to 18
Article Primary curriculum Secondary curriculum

Early Encounters with Infinity

This article is one parent's story describing his young son's exploration, and growing understanding, of infinity.

Age 5 to 11
Article Primary curriculum Secondary curriculum

How Many Elements Are There in the Cantor Set?

This article gives a proof of the uncountability of the Cantor set.

Age 14 to 18
Article Primary curriculum Secondary curriculum

Hilbert's Hotel

Hilbert's Hotel has an infinite number of rooms, and yet, even when it's full, it can still fit more people in!

Age 14 to 18
Problem Primary curriculum Secondary curriculum

How Long Is the Cantor Set?

Take a line segment of length 1. Remove the middle third. Remove the middle thirds of what you have left. Repeat infinitely many times, and you have the Cantor Set. Can you find its length?

Age 11 to 14
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

The Cantor Set

Take a line segment of length 1. Remove the middle third. Remove the middle thirds of what you have left. Repeat infinitely many times, and you have the Cantor Set. Can you picture it?

Age 11 to 14
Challenge Level Yellow starYellow starYellow star

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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