Being curious

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.

What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?

Like a bit of help getting into the game? Then have a look at this.

If you'd like to explore the game freely, without any nudges from us, choose this version.