Fancy something very substantial? Think about one of our challenging open investigations. These will take time and you will need to pose your own questions and make your own mathematical discoveries.
Explore the properties of this iterative geometrical procedure
Investigate constructible images which contain rational areas.
Can you find some Pythagorean Triples where the two smaller numbers differ by 1?
How would you judge a competition to draw a freehand square?
What's the chance of a pair of lists of numbers having sample
correlation exactly equal to zero?
Explore the properties of this different sort of differential
Explore the properties of combinations of trig functions in this open investigation.
What can you create using 140 characters and our cool Twilgo
Explore creating 'factors and multiples' graphs such that no lines joining the numbers cross