Year 10 / GCSE · Maths
Shapes And Geometry
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Focus on circle theorems and transformations gcse. Open support for “Apply Alternate Segment Theorem”, then explain the idea in your own words.
Year 10 / GCSE learners practise circle theorems and transformations gcse.
The activities include Apply Alternate Segment Theorem, Apply Chords and Radii, Apply Circle Theorems to Solve Problems, and related practice. The checked support below includes video, teaching, worksheet, practice. Open a resource in its provider's website and choose the format that best helps the learner explain the idea independently.
Activities covered
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- Apply Alternate Segment Theorem — support from Oak National Academy
- Apply Chords and Radii — support from Oak National Academy
- Apply Circle Theorems to Solve Problems — support from Oak National Academy
- Apply Cyclic Quadrilateral Theorem — support from Oak National Academy
- Apply Exact Trig Values — support from Oak National Academy
- Apply Ratios to Map Scales — support from Oak National Academy
- Apply Tangents to a Circle — support from Oak National Academy
- Apply the Angles Around the Centre of a Circle Rule — support from Oak National Academy
- Apply the Angles in the Same Segment Rule — support from Oak National Academy
- Apply the Properties of Quadrilaterals — support from Corbett Maths
- Apply Theorem relating to Angles Subtended from the Diameter — support from Oak National Academy
- Apply Trigonometry Knowledge to 3D Shapes — support from Oak National Academy
- Describe All Transformations — support from Oak National Academy
- Describe Congruent Transformations — support from Oak National Academy
- Draw Plans and Elevations of 3D Shapes — support from Oak National Academy
- Enlarge 2D Shapes — support from Oak National Academy
- Enlarge from a Given Point — support from Oak National Academy
- Enlarge Using a Fractional Scale Factor — support from Oak National Academy
- Enlarge Using a Negative Scale Factor — support from Oak National Academy
- Find a Missing Angle Using the Cos Ratio — support from Oak National Academy
- Find a Missing Angle Using the Sin Rule — support from Oak National Academy
- Find a Missing Angle Using the Tan Ratio — support from Oak National Academy
- Find a Missing Side Using the Cos Ratio — support from Oak National Academy
- Find a Missing Side Using the Sin Ratio — support from Oak National Academy
- Find a Missing Side Using the Tan Ratio — support from Oak National Academy
- Find a Side Using the Cosine Rule — support from Corbett Maths
- Find an Angle Using the Cosine Rule — support from Corbett Maths
- Find an Angle Using the Sin Ratio — support from Oak National Academy
- Find Angles Using Knowledge of Sectors — support from Oak National Academy
- Find Compound Perimeters — support from Oak National Academy
- Find the Area of a Sector — support from Oak National Academy
- Find the Area of Compound Shapes — support from Oak National Academy
- Find the Area of Similar Shapes — support from Oak National Academy
- Find the Hypotenuse Using Pythagoras' Theorem — support from Oak National Academy
- Find the Length of an Arc — support from Oak National Academy
- Find the Surface Area of a Pyramid — support from Oak National Academy
- Find the Surface area of a Pyramid — support from Oak National Academy
- Find the Volume of a Pyramid — support from Oak National Academy
- Find the Volume of Frustums — support from Corbett Maths
- Finding the Shorter Side Using Pythagoras' Theorem — support from Oak National Academy
- Identify 3D Shapes — support from Corbett Maths
- Identify Faces, Edges and Vertices of 3D Shapes — support from Corbett Maths
- Identify Invariant Points — support from Oak National Academy
- Identify Reflective Symmetry — support from Corbett Maths
- Identify Similar Shapes — support from Oak National Academy
- Identify the Properties of a Circle — support from Oak National Academy
- Interpret Plans and Elevations — support from Oak National Academy
- Label Sides of a Triangle — support from Oak National Academy
- Leave Answers in Terms of Pi — support from Oak National Academy
- Recall 2D Geometry Notation and Terms — support from Online Math Learning
- Recall 3D Geometry Notation and Terms — support from Corbett Maths
- Recognise Rotational Symmetry — support from Corbett Maths
- Rotate a Shape — support from Oak National Academy
- Solve Complex problems Using Pythagoras' Theorem — support from Oak National Academy
- Solve Loci Problems — support from Oak National Academy
- Solve Problems Using Pythagoras' Theorem — support from Oak National Academy
- Solve Trigonometry Problems — support from Oak National Academy
- Translate an Object — support from Oak National Academy
- Understand and Read Bearings — support from Oak National Academy
- Understand Conversion in Scale Drawings — support from Oak National Academy
- Using Pythagoras' Theorem on 3D Shapes — support from Oak National Academy
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Watch it explained
watch a video explanation
The alternate segment theorem
Best for: a clear explanation before you practise
A perpendicular radius bisects a chord
Best for: a clear explanation before you practise
Problem solving with circle theorems
Best for: a clear explanation before you practise
Opposite angles in a cyclic quadrilateral sum to 180 degrees
Best for: a clear explanation before you practise
Exact trigonometric values for 30 and 60 degrees
Best for: a clear explanation before you practise
Real-world ratios and map scales
Best for: a clear explanation before you practise
A tangent is perpendicular to the radius at the point of contact
Best for: a clear explanation before you practise
The angle at the centre is twice the angle at the circumference
Best for: a clear explanation before you practise
Angles in the same segment are equal
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Names and properties of quadrilaterals video
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The angle in a semicircle is a right angle
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Applying trigonometric ratios in 3D
Best for: a clear explanation before you practise
Multiple transformations
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Identifying and describing transformations
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Drawing the plan and elevations of a solid
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Enlargement with positive integer scale factors
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Enlargement with positive fractional scale factors
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Enlargement using a negative scale factor
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Cosine ratio: missing sides and angles
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The sine rule for non-right-angled triangles
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Tangent ratio: missing sides and angles
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Sine ratio: missing sides and angles
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Cosine rule: finding a missing side video
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Cosine rule: finding a missing angle video
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Area of a sector
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Calculating arc length and sector perimeter
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Area of compound shapes involving circles
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Using scale factors to find areas of similar shapes
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Pythagoras' theorem: hypotenuse and shorter sides
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Surface area of a pyramid
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Volume of a pyramid
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Volume of a frustum video
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Names of 3D shapes video
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Edges, faces and vertices video
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Invariant points in transformations
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Line and reflective symmetry video
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Identifying similar and congruent shapes
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Parts and properties of a circle
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Drawing the solid from its plan and elevations
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Geometric notation video lessons
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Rotational symmetry video
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Rotating a shape
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Advanced right-angled trigonometry and Pythagoras problem solving
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Solving contextual loci problems
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Applying Pythagoras' theorem in 3D
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Translating shapes with column vectors
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Following and reading three-figure bearings
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Interpreting scaled drawings
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Learn it properly
lessons and teaching pages
The alternate segment theorem lesson slides
Best for: worked examples and step-by-step teaching
A perpendicular radius bisects a chord lesson slides
Best for: worked examples and step-by-step teaching
Problem solving with circle theorems lesson slides
Best for: worked examples and step-by-step teaching
Opposite angles in a cyclic quadrilateral sum to 180 degrees lesson slides
Best for: worked examples and step-by-step teaching
Exact trigonometric values for 30 and 60 degrees lesson slides
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Real-world ratios and map scales lesson slides
Best for: worked examples and step-by-step teaching
A tangent is perpendicular to the radius at the point of contact lesson slides
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The angle at the centre is twice the angle at the circumference lesson slides
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Angles in the same segment are equal lesson slides
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Shape at Home: 2D and 3D Shapes GCSE Grades 1–5 PowerPoint
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The angle in a semicircle is a right angle lesson slides
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Applying trigonometric ratios in 3D lesson slides
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Multiple transformations lesson slides
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Identifying and describing transformations lesson slides
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Drawing the plan and elevations of a solid lesson slides
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Enlargement with positive integer scale factors lesson slides
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Enlargement with positive fractional scale factors lesson slides
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Enlargement using a negative scale factor lesson slides
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Cosine ratio: missing sides and angles lesson slides
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The sine rule for non-right-angled triangles lesson slides
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Tangent ratio: missing sides and angles lesson slides
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Sine ratio: missing sides and angles lesson slides
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Using the Sine and Cosine Rule Revision Guide
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Area of a sector lesson slides
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Calculating arc length and sector perimeter lesson slides
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Area of compound shapes involving circles lesson slides
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Using scale factors to find areas of similar shapes lesson slides
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Pythagoras' theorem: hypotenuse and shorter sides lesson slides
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Surface area of a pyramid lesson slides
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Volume of a pyramid lesson slides
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Surface Area and Volume of a Frustum Walkthrough Worksheet
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Invariant points in transformations lesson slides
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Identifying similar and congruent shapes lesson slides
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Parts and properties of a circle lesson slides
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Drawing the solid from its plan and elevations lesson slides
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White Rose Maths: Letter and Labelling Conventions
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Rotating a shape lesson slides
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Advanced right-angled trigonometry and Pythagoras problem solving lesson slides
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Solving contextual loci problems lesson slides
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Applying Pythagoras' theorem in 3D lesson slides
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Translating shapes with column vectors lesson slides
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Following and reading three-figure bearings lesson slides
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Interpreting scaled drawings lesson slides
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Drawing accurate scaled diagrams lesson slides
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Practise it
questions and activities to try
Circle Theorems
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Exact Trigonometric Values Practice Questions
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Scales and Maps Practice Questions
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3D Trigonometry Practice Questions
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Transformations Mixture Practice Questions
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Views and Elevations Practice Questions
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Enlargements Practice Questions
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Enlargements: Negative Scale Factors Practice Questions
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Trigonometry Practice Questions
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Sine Rule and Cosine Rule Practice Questions
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Area of a Sector
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Perimeter of a Semi-Circle Practice
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Area of Compound Shapes Practice Questions
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Similar Shapes: Area and Volume
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Pythagoras Practice Questions
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Arc Length Practice Questions
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Volume and Surface Area of a Pyramid
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Volume of a Pyramid Practice Questions
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Invariant Points Practice Questions
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Congruent and Similar Shapes Practice Questions
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Parts of a Circle Practice Questions
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Rotations Practice Questions
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Loci
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Translations Practice Questions
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Bearings Practice Questions
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3D Pythagoras Practice Questions
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Print and finish
worksheets away from the screen
The alternate segment theorem worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
A perpendicular radius bisects a chord worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Problem solving with circle theorems worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Opposite angles in a cyclic quadrilateral sum to 180 degrees worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Exact trigonometric values for 30 and 60 degrees worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Exact trigonometric values for 0, 45 and 90 degrees worksheet and quizzes
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Real-world ratios and map scales worksheet and quizzes
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Interpreting scaled drawings worksheet and quizzes
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A tangent is perpendicular to the radius at the point of contact worksheet and quizzes
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The angle at the centre is twice the angle at the circumference worksheet and quizzes
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Angles in the same segment are equal worksheet and quizzes
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Quadrilaterals practice questions and video solutions
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The angle in a semicircle is a right angle worksheet and quizzes
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Applying trigonometric ratios in 3D worksheet and quizzes
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Multiple transformations worksheet and quizzes
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Identifying and describing transformations worksheet and quizzes
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Drawing the plan and elevations of a solid worksheet and quizzes
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Enlargement with positive integer scale factors worksheet and quizzes
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Enlargement with positive fractional scale factors worksheet and quizzes
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Enlargement using a negative scale factor worksheet and quizzes
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Cosine ratio: missing sides and angles worksheet and quizzes
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The sine rule for non-right-angled triangles worksheet and quizzes
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Tangent ratio: missing sides and angles worksheet and quizzes
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Sine ratio: missing sides and angles worksheet and quizzes
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Area of a sector worksheet and quizzes
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Calculating arc length and sector perimeter worksheet and quizzes
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Perimeter of compound shapes worksheet and quizzes
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Area of compound shapes involving circles worksheet and quizzes
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Using scale factors to find areas of similar shapes worksheet and quizzes
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The area scale factor of similar shapes worksheet and quizzes
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Pythagoras' theorem: hypotenuse and shorter sides worksheet and quizzes
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Surface area of a pyramid worksheet and quizzes
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Volume of a pyramid worksheet and quizzes
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Volume of a frustum practice questions and solutions
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3D shapes practice questions and video solutions
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Edges, faces and vertices practice questions and solutions
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Invariant points in transformations worksheet and quizzes
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Line symmetry practice questions and solutions
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Identifying similar and congruent shapes worksheet and quizzes
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Parts and properties of a circle worksheet and quizzes
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Drawing the solid from its plan and elevations worksheet and quizzes
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GCSE Geometry Vocabulary and Notation Worksheet
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Rotational symmetry practice questions and solutions
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Rotating a shape worksheet and quizzes
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Advanced right-angled trigonometry and Pythagoras problem solving worksheet and quizzes
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Solving contextual loci problems worksheet and quizzes
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Constructing loci from geometric conditions worksheet and quizzes
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Applying Pythagoras' theorem in 3D worksheet and quizzes
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Translating shapes with column vectors worksheet and quizzes
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Following and reading three-figure bearings worksheet and quizzes
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Finding bearings on maps and scaled plans worksheet and quizzes
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