Exploring and noticing

Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?

Skippy and Anna are locked in a room in a large castle. The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. Can you help them to get out?

How many were going to St Ives?

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

It starts quite simple but great opportunities for number discoveries and patterns!

Choose any three by three square of dates on a calendar page...

How many arm-wrestles will there be in the royal arm wrestling championship?

A pattern repeats every six symbols. What are the 100th and 101st symbols?

Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.

Albert Einstein could see two clocks which were out of sync. For what fraction of the day did they show the same time?