Computer codes with check digits are widely used in the retail and banking sector. This resource focuses on one long-established code ? the International Standard Book Number (ISBN). The set of activities requires students to think about place value, divisibility and remainders. It also requires logical thinking.

This resource investigates effective shapes for containers. It is a challenging and potentially mathematically wide ranging activity. The activity requires students to calculate areas of polygons and to appreciate the link with volumes of prisms. It may also involve detailed exploration of similarity.

This resource explores the efficient use of space in car parks. These are two-dimensional ?best fit? problems which require logic and a systematic approach to find effective solutions. They give students the chance to devise and test out strategies using systematic trial-and-improvement techniques. Measuring and scale drawing are needed for Car park improvements.

Shops try to attract and keep their customers in many ways. This resource explores three ways in which retailers and product manufacturers may seek to persuade customers to either buy more of their product or encourage customer loyalty. In Prize draw students explore sequences and series. Offers involves money calculations and comparison of prices. In Collect the set students run and devise simulations, find mean and range and discuss these and the probabilities of events.