pre-a level

A set of problems on volumes and surface areas of cuboids, suitable for Year 7 or above. The final problem (finding cuboids whose surface area and volume are (numerically) equal) is lovely!

An introduction to forming expressions for the total number of tiles used in forming a pattern. The problems are designed to get pupils to focus on the structure of the pattern rather than simpy spotting an nth term rule. A couple of follow-up tasks here.

Some simplifying of fractions with some more open-ended questions and reverse problems at the end.

Some mixed questions on proportional reasoning.

A plan for an introductory lesson on trigonometry ('measuring triangles'), with a focus on the techniques needed, rather than formal language. Pupils get used to the idea of using the tan ratio (without calling it that) and inverse functions.

Preparation given to prospective sixth form maths students for the summer holidays.