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.

A scaffolded lesson on finding the area of shaded regions, made from combinations of circles and other shapes. The slides can be printed and break down what the students should be thinking and trying to calculate. Also included is a test on the area and circumference of circles and the area and perimeter of sectors.