List

Number patterns and infinity

In this feature, we have chosen some resources from the Number Patterns and Infinity pathway on wild.maths.org.

Can you explain the patterns by exploring the underlying structure? Can you reach for the stars and make sense of infinity?

Here's how you can send your solutions to these problems.

problem

Magic letters

Age

11 to 16

Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

problem

Odds, evens and more evens

Age

11 to 16

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

problem

Pairwise puzzler

Age

11 to 16

I thought of 4 numbers - can you figure them out from 6 clues? Can you figure out 5 numbers from 10 clues? 6 numbers from 15 clues...

problem

Mystic rose

Age

11 to 16

Watch the animation to see how to draw a mystic rose. Can you work out how many lines would be needed for roses of different sizes?

Placeholder: several colourful numbers

list

Dotty grids

Age

11 to 16

Challenge level

Placeholder: several colourful numbers

list

Special numbers

Age

11 to 16

Placeholder: several colourful numbers

list

Freedom and constraints

Age

11 to 16

Placeholder: several colourful numbers

list

Seeing is believing

Age

11 to 16

Challenge level

Some mathematical results can be proved beautifully with just a simple diagram...