Moment of a force

problem
Favourite

Wobbler

Age

16 to 18

Challenge level

A cone is glued to a hemisphere. When you place it on a table in what position does it come to rest?
problem

Overarch 2

Age

16 to 18

Challenge level

Bricks are 20cm long and 10cm high. How high could an arch be built without mortar on a flat horizontal surface, to overhang by 1 metre? How big an overhang is it possible to make like this?
problem

Balancing 1

Age

11 to 14

Challenge level

Meg and Mo need to hang their marbles so that they balance. Can you work out what they need to do?
problem

Balancing 2

Age

11 to 14

Challenge level

Meg and Mo still need to hang their marbles so that they balance, but this time the constraints are different. Can you find out what they need to do?
problem

Balancing 3

Age

11 to 14

Challenge level

Mo has left, but Meg is still experimenting. How can she alter her pouch of marbles and still keep the two pouches balanced?