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.

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

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

Try out these calculations. Are you surprised by the results?

Five children are taking part in a climbing competition with three parts, where their score for each part will be multiplied together. Can you see how the leaderboard will change depending on what happens in the final climb of the competition?