Being resourceful

This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

How much of the square is coloured blue? How will the pattern continue?

Can you find a way to identify times tables after they have been shifted up or down?

Can you work out which drink has the stronger flavour?

Invent a scoring system for a 'guess the weight' competition.

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

Engage in a little mathematical detective work to see if you can spot the fakes.