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What is the smallest number of additional squares that must be shaded so that this figure has at least one line of symmetry and rotational symmetry of order 2?

How many times a day does a 24 hour digital clock look the same when reflected in a horizontal line?

The diagram shows two semicircular arcs... What is the diameter of the shaded region?

In how many different ways can a row of five "on/off" switches be set so that no two adjacent switches are in the "off" position?

If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?

Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?

Which dilutions can you make using 10ml pipettes and 100ml measuring cylinders?

Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.

A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.

Who's closest to the correct number of sweets in a jar - an individual guess or the average of many individuals' guesses? Which average?