This is a complete lesson on ratio, starting with the basics of simplifying ratios, sharing amounts in a ratio, calculating parts of a ratio given the difference between and finishing with a set of problem solving questions with answers provided.

This is a higher tier GCSE lesson covering solving simultaneous equations using substitution. Includes a recap of solving quadratics and the quadratic formula, fully worked examples of finding the intersection of a line and a circle and questions to practise. All answers included.