A teaching sheet on ratio which defines what ratio is and provides worked examples of cancelling down ratios, representing them in the form 1:n and n:1 and answering questions which require the student to share a quantity (money, number of sweets etc.) between people in a given ratio. This teaching sheet is very accessible and presented in a simple, consistent easy-to-understand manner. Methods to answer each question are structured very clearly and are explained. It could be used to introduce a topic of ratios or provide worked examples to assist students in tackling questions on the topic. It will be of general use to students in Years 8-10 but may also assist Year 11 students who are aiming for a grade 5 in Mathematics.

This resource gets students to investigate how to find a formula for the triangular numbers through the investigating the number of football teams play each other in a round robin. This resource is suitable for GCSE students and more able KS3 students. Students are then guided through an investigation to see a step-by-step derivation for the algebraic nth term for the sequence of triangular numbers. This would be an excellent way of introducing how to find the nth term of quadratic sequences as pupils will be familiar with the triangular numbers sequence.