Being resourceful

If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

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

The items in the shopping basket add and multiply to give the same amount. What could their prices be?

Four friends must cross a bridge. How can they all cross it in just 17 minutes?

In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?

Which of these games would you play to give yourself the best possible chance of winning a prize?

Here are two games you can play. Which offers the better chance of winning?

How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

A dot starts at the point (1,0) and turns anticlockwise. Can you estimate the height of the dot after it has turned through 45 degrees? Can you calculate its height?

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?