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Circle theorems are a higher-tier geometry topic that often carries significant marks. Students must identify and apply theorems about angles in circles, tangents, chords and cyclic quadrilaterals, always giving geometric reasons.
Our tutors see these errors again and again. Knowing them in advance gives you a head start.
Confusing the angle at the centre theorem with the angle in a semicircle
Not recognising when two tangents from an external point are equal in length
Giving a calculation without stating the theorem used (marks are often for the reason)
This topic is tested by the following exam boards. Our tutors are specialists in each one.
Angle facts are fundamental to geometry and regularly appear across all papers. Students must apply rules about angles on straight lines, at points, in triangles, in parallel lines and in polygons to find missing angles with clear reasoning.
Geometry & MeasuresPythagoras' theorem relates the three sides of a right-angled triangle and is one of the most practical geometry topics at GCSE. It is used in 2D and 3D problems, coordinate geometry, and combined with trigonometry at higher tier.
Geometry & MeasuresArea and perimeter calculations cover rectangles, triangles, parallelograms, trapezia and circles. Compound shapes combine these, and higher-tier questions involve sectors and segments of circles.
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Take our free diagnostic quiz to find out exactly where you stand, then get matched with a tutor who specialises in geometry & measures.