Chapter 7.1
Angles on parallel lines and transversals
Use corresponding, alternate, and co-interior angles to solve problems.
Chapters18
Angles, circles, area, volume, 3D geometry, and constructions.
Time invested14 hrs
Approximate guided learning for GCSE mastery.
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Chapter 7.2
Circle theorems (angles and chords)
Apply angle at center, angle in alternate segment, and inscribed angle theorems.
Chapter 7.3
Circle theorems (tangents and secants)
Understand properties of tangent lines and power of a point.
Chapter 7.4
Cyclic quadrilaterals and properties
Use opposite angle properties to solve circle geometry problems.
Chapter 7.5
Area of triangles, quadrilaterals, and compound shapes
Use formulas and decomposition to calculate areas accurately.
Chapter 7.6
Area of circles and sectors
Apply circle area formulas and sector calculations for composite shapes.
Chapter 7.7
Volume of prisms, cylinders, and composite solids
Calculate volumes using area of cross-section × height.
Chapter 7.8
Volume of pyramids, cones, and spheres
Master cone and pyramid volume formulas for complex 3D problems.
Chapter 7.9
Surface area of 3D shapes
Calculate surface area of cylinders, cones, spheres, and composite shapes.
Chapter 7.10
Plans, elevations, and 3D representations
Interpret and draw 2D views of 3D objects with isometric grids.
Chapter 7.11
Bearings and navigation
Use three-figure bearings to solve distance and direction problems.
Chapter 7.12
Similar shapes and scale factors
Apply scale factors to lengths, areas, and volumes of similar figures.
Chapter 7.13
Congruence and similarity problem-solving
Identify and prove congruent and similar shapes in complex diagrams.
Chapter 7.14
Constructions and locus
Use compass and straightedge to construct perpendiculars, angle bisectors, and loci.
Chapter 7.15
Coordinate geometry and geometry problem-solving
Use gradient, distance, and midpoint formulas for geometric reasoning.
Chapter 7.16
Geometry exam technique and reasoning
Master logical arguments with clear justification of geometric facts.
Chapter 7.17
Past paper practice - Geometry (Papers 1, 2, 3)
Exam-style questions covering angles, circles, area, and volume.
Chapter 7.18
Geometry mastery and mock exam questions
Final assessment covering all Section 7 topics at GCSE level.
Next steps
Continue your GCSE revision with Section 8 on Pythagoras and Trigonometry.