What this topic covers
Geometry and measures has 3 subtopics:
- Properties and constructions
- Mensuration and calculation
- Vectors
GCSE AQA Higher Maths
Geometry and measures – GCSE AQA Higher Maths revision notes
Revise Geometry and measures for GCSE AQA Higher Maths, including Properties and constructions and Mensuration and calculation. 42 lessons across 3 subtopics.
Geometry and measures covers Properties and constructions, Mensuration and calculation, and Vectors in GCSE AQA Higher Maths. 42 lessons in 3 subtopics.
42
Lessons
3
Subtopics
Geometry and measures lessons by subtopic
42 lessons, grouped by subtopic.
Properties and constructions
- Geometric Language and Notation
- Triangle Labelling and Drawing Diagrams
- Basic Ruler and Compass Constructions
- Loci Problems and Geometric Constructions
- Angles on Parallel Lines
- Angle Sums in Polygons
- Angles at Points and on Lines
- Properties of Special Quadrilaterals
- Properties of Triangles and Other Plane Figures
- Triangle Congruence Criteria
- Angle Facts and Properties
- Congruence, Similarity and Geometric Proofs
- Transformations and Similar Shapes
- Basic Transformations
- Combined Transformations and Invariance
- Circle Definitions and Properties
- Circle Theorems and Geometric Proof
- Using Circle Theorems to Find Angles
- Solving Problems on Coordinate Axes
- Properties of 3D Shapes
- Reading Plans and Elevations of 3D Shapes
Mensuration and calculation
- Standard Units of Measure
- Measuring in Geometric Figures and Scale Drawings
- Areas of 2D Shapes
- Volumes of 3D Shapes
- Circumference from Radius and Diameter
- Area of Circles and Composite Figures
- Arc Length and Sector Area
- Circle Area and Circumference
- Congruence, Similarity and Scale Factors
- Scale Factors in Similar Figures
- 2D and 3D Trigonometric Problem Solving
- Pythagoras and Trigonometry in Right-Angled Triangles
- Pythagoras and Trigonometry in 2D Figures
- Exact Values of Trigonometric Ratios
- Sine, Cosine and Tangent Ratios
- Solving Triangles with the Cosine Rule
- Solving Triangles with the Sine Rule
- Triangle Area Calculations
Vectors
More in this course
Go back to the full GCSE AQA Higher Maths topic list, or practise this topic with past-paper questions.
Frequently asked questions
Is this the right Geometry and measures page for my course?
These notes are for GCSE AQA Higher Maths. If you are on a different exam board or tier, choose your course from the Maths page instead, because the content is not always the same.
What should I do after reading the lessons?
Test yourself without the notes open, then try past-paper questions on the same topic. The questions you get wrong tell you which lesson to go back to.