Conjecturing and generalising

Make some loops out of regular hexagons. What rules can you discover?

What is the last-but-one digit of 99! ?

Can you find the connections between linear and quadratic patterns?

There are unexpected discoveries to be made about square numbers...

Sequences of multiples keep cropping up...

Play around with the Fibonacci sequence and discover some surprising results!

This challenge combines addition, multiplication, perseverance and even proof.

Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?

Can you figure out how sequences of beach huts are generated?

Can you do a little mathematical detective work to figure out which number has been wiped out?