Being resourceful

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

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

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

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?

Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?

This shape comprises four semi-circles. What is the relationship between the area of the shaded region and the area of the circle on AB as diameter?

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?