A comprehensive guide to geometry and mensuration concepts covering perimeter,...
Maths687 views·Updated 31 Jul 2026·6 pagesEasy Guide: Calculate Trapezium Area & Learn Polygons for Year 7
Olamide@olamide_26
1 / 6
1
of 6
Page 2: 2D Representations of 3D Shapes
This page explores how three-dimensional objects can be represented in two dimensions through various techniques.
Vocabulary: A net is a flat pattern that can be folded to create a 3D shape.
Definition: Plans and elevations are 2D views of 3D objects from different perspectives - top (plan), front (front elevation), and side (side elevation).
Example: A cube has 6 faces, 12 edges, and 8 vertices when represented in 3D.
2
of 6
Page 3: Properties of Polygons
This page details the characteristics and properties of various polygons.
Definition: A square has four equal sides, four right angles, and four lines of symmetry.
Highlight: Each polygon type has unique properties regarding side lengths, angles, parallel sides, and symmetry.
Example: A rhombus has four equal sides and diagonally opposite angles are equal, with two lines of symmetry.
3
of 6
Page 4: Circle Geometry
This page covers circle-related concepts and calculations.
Vocabulary: Pi (π) is the ratio of a circle's circumference to its diameter, approximately equal to 3.14.
Definition: A circle is the locus of points equidistant from a central point.
Example: For a circle with radius 5cm, the area would be π×5² = 78.5cm².
4
of 6
Page 5: Surface Area
This page focuses on surface area calculations for three-dimensional shapes.
Example: The total surface area of a cylinder can be calculated using the formula 2πr² + πdh.
5
of 6
Page 6: Volume
This page explains volume calculations for various 3D shapes.
Definition: Volume is the measure of space inside a solid shape, measured in cubic units.
Highlight: The volume of any prism can be calculated by multiplying the area of the cross-section by the length.
Example: For a cuboid with length 6cm, width 5cm, and height 3cm, the volume is 90cm³.
6
of 6
Page 1: Perimeter and Area Fundamentals
This page introduces fundamental concepts of perimeter and area calculations for various geometric shapes.
Definition: Perimeter is the total distance around the outside of a shape, measured in linear units like mm, cm, or m.
Definition: Area represents the amount of space inside a shape, measured in square units like mm², cm², or m².
Example: For a rectangle with length 8cm and width 5cm, the perimeter would be 26cm and the area would be 40cm² (8×5).
Highlight: The area of a trapezium is calculated using the formula ×h÷2, where a and b are the parallel sides and h is the height.
We thought you’d never ask...
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Similar content
Most popular content in Maths
9MathsComprehensive Maths Concepts
Explore essential mathematical concepts including powers, geometry, statistics, and probability. This resource features 65 pages of detailed explanations, diagrams, and examples to enhance your understanding of topics such as right triangles, volume calculations, and data representation. Ideal for students seeking to strengthen their numeracy skills and grasp complex mathematical principles.
1180,1386,322
M
MathsMedium Level alerbra
Master challenging maths concepts with this medium level flashcard set designed for grade 7/8 students. Strengthen your problem-solving skills and boost your confidence in maths!
78923
MathsGCSE Maths (Higher) // Revision Guide
The only GCSE maths (higher) revision guide you need to get a grade 9! Contains every topic, each with all potential question types and their solutions.
102,62562
M
MathsMastering Maths: Essential Concepts for Grade 10
Boost your math skills with this comprehensive flashcard set covering key concepts for grade 10. Perfect for exam preparation and building a strong foundation in mathematics.
115641
M
MathsMastering Medium-Level Maths: Essential Flashcards for Grade 11 Students
Boost your Maths skills with this comprehensive set of flashcards designed specifically for Grade 11 students. Covering medium-level topics, these cards will help you ace your exams and build a solid foundation for advanced Maths.
119743
M
MathsMaths Made Easy: Essential Concepts for Grade 7
Master key mathematical concepts with this comprehensive flashcard set designed specifically for 13-year-old students. Strengthen your understanding and ace your exams!
77922
P
MathsPercentage,fractions and decimals
how well do you know percentages,fractions and decimals
73213
M
Mathsmaths SOHCAHTOA
Trigonometric ratios SOHCAHTOA for calculating angles and sides in right-angled triangles.
112240
MathsGCSE Maths Revision Guide
Comprehensive solutions and explanations for past GCSE Maths Paper 1 questions. Topics include solving quadratics, area calculations, ratios, probability, and more. Ideal for students preparing for their exams, with clear step-by-step methods and key concepts highlighted.
111,42317
Most popular content
9
SociologySociology of Families: Comprehensive Revision
Dive into an extensive overview of family dynamics, perspectives, and patterns in sociology. This resource covers key concepts such as family diversity, gender roles, marriage, and the impact of social policies on family structures. Perfect for A-Level Sociology students preparing for Paper 2.
1273,8012,306
SociologySociology of Education Overview
Explore comprehensive A-Level Sociology notes on the education system, covering key theories, policies, and sociological perspectives. This resource includes insights on marketisation, gender roles, cultural deprivation, and educational inequalities, providing a thorough understanding of how education shapes social stratification and individual achievement. Ideal for exam preparation and in-depth study.
12102,9883,041
CriminologyCriminology: Crime & Punishment Overview
Comprehensive mindmaps covering key concepts in the Crime and Punishment topic for WJEC Criminology Unit 4. This resource includes detailed insights into the Criminal Justice System, crime prevention strategies, sentencing models, and the roles of various agencies. Ideal for A-Level revision, ensuring you grasp essential theories and legislative processes to excel in your exams.
1254,8991,061
SociologyComprehensive Crime & Deviance Overview
Explore an extensive revision of crime and deviance topics, including theories, types of crime, and the impact of media. This resource covers key concepts such as Marxism, functionalism, gender and crime, and the influence of globalization on criminal behavior. Ideal for students seeking a thorough understanding of criminology and its various theories. Type: Full Topic Revision.
1251,6731,401
C
BiologyCell Biology and Cell structure
cell structures
113,3020
CriminologyWJEC Unit 4 Criminology
Criminology unit 4 detailed revision note
127,177125
SociologySociological Theories Overview
Comprehensive revision of key sociological theories including Functionalism, Marxism, Feminism, and Interpretivism. Explore concepts like value freedom, identity formation, and the critique of social control. Ideal for AQA A-Level Sociology students preparing for exams. This summary covers essential theories and their implications in sociology, providing a clear understanding of each perspective.
1231,494846
T
BiologyThe functions of subcellular structures - B1 Biology
Flashcards on the different functions of subcellular structures: cell membrane, nucleus, mitochondria, ribosomes, cytoplasm, permant vacuole, chloroplasts and cell wall.
112,8215
1
Biology1.cells Gcse biology question cards
combined science higher biology
112,3744
Students love us — and so will you.
4.6/5App Store
4.7/5Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan SiOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha KlichAndroid user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
AnnaiOS user
Maths687 views·Updated 31 Jul 2026·6 pagesEasy Guide: Calculate Trapezium Area & Learn Polygons for Year 7
Olamide@olamide_26
A comprehensive guide to geometry and mensuration concepts covering perimeter, area, 3D shapes, and volume calculations for understanding properties of polygons for year 7 students.
- Detailed coverage of area calculations for various 2D shapes including rectangles, parallelograms, triangles, kites,...
1
of 6
Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Page 2: 2D Representations of 3D Shapes
This page explores how three-dimensional objects can be represented in two dimensions through various techniques.
Vocabulary: A net is a flat pattern that can be folded to create a 3D shape.
Definition: Plans and elevations are 2D views of 3D objects from different perspectives - top (plan), front (front elevation), and side (side elevation).
Example: A cube has 6 faces, 12 edges, and 8 vertices when represented in 3D.
2
of 6Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Page 3: Properties of Polygons
This page details the characteristics and properties of various polygons.
Definition: A square has four equal sides, four right angles, and four lines of symmetry.
Highlight: Each polygon type has unique properties regarding side lengths, angles, parallel sides, and symmetry.
Example: A rhombus has four equal sides and diagonally opposite angles are equal, with two lines of symmetry.
3
of 6Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Page 4: Circle Geometry
This page covers circle-related concepts and calculations.
Vocabulary: Pi (π) is the ratio of a circle's circumference to its diameter, approximately equal to 3.14.
Definition: A circle is the locus of points equidistant from a central point.
Example: For a circle with radius 5cm, the area would be π×5² = 78.5cm².
4
of 6Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Page 5: Surface Area
This page focuses on surface area calculations for three-dimensional shapes.
Example: The total surface area of a cylinder can be calculated using the formula 2πr² + πdh.
5
of 6Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Page 6: Volume
This page explains volume calculations for various 3D shapes.
Definition: Volume is the measure of space inside a solid shape, measured in cubic units.
Highlight: The volume of any prism can be calculated by multiplying the area of the cross-section by the length.
Example: For a cuboid with length 6cm, width 5cm, and height 3cm, the volume is 90cm³.
6
of 6Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Page 1: Perimeter and Area Fundamentals
This page introduces fundamental concepts of perimeter and area calculations for various geometric shapes.
Definition: Perimeter is the total distance around the outside of a shape, measured in linear units like mm, cm, or m.
Definition: Area represents the amount of space inside a shape, measured in square units like mm², cm², or m².
Example: For a rectangle with length 8cm and width 5cm, the perimeter would be 26cm and the area would be 40cm² (8×5).
Highlight: The area of a trapezium is calculated using the formula ×h÷2, where a and b are the parallel sides and h is the height.
We thought you’d never ask...
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Similar content
Most popular content in Maths
9MathsComprehensive Maths Concepts
Explore essential mathematical concepts including powers, geometry, statistics, and probability. This resource features 65 pages of detailed explanations, diagrams, and examples to enhance your understanding of topics such as right triangles, volume calculations, and data representation. Ideal for students seeking to strengthen their numeracy skills and grasp complex mathematical principles.
1180,1386,322
M
MathsMedium Level alerbra
Master challenging maths concepts with this medium level flashcard set designed for grade 7/8 students. Strengthen your problem-solving skills and boost your confidence in maths!
78923
MathsGCSE Maths (Higher) // Revision Guide
The only GCSE maths (higher) revision guide you need to get a grade 9! Contains every topic, each with all potential question types and their solutions.
102,62562
M
MathsMastering Maths: Essential Concepts for Grade 10
Boost your math skills with this comprehensive flashcard set covering key concepts for grade 10. Perfect for exam preparation and building a strong foundation in mathematics.
115641
M
MathsMastering Medium-Level Maths: Essential Flashcards for Grade 11 Students
Boost your Maths skills with this comprehensive set of flashcards designed specifically for Grade 11 students. Covering medium-level topics, these cards will help you ace your exams and build a solid foundation for advanced Maths.
119743
M
MathsMaths Made Easy: Essential Concepts for Grade 7
Master key mathematical concepts with this comprehensive flashcard set designed specifically for 13-year-old students. Strengthen your understanding and ace your exams!
77922
P
MathsPercentage,fractions and decimals
how well do you know percentages,fractions and decimals
73213
M
Mathsmaths SOHCAHTOA
Trigonometric ratios SOHCAHTOA for calculating angles and sides in right-angled triangles.
112240
MathsGCSE Maths Revision Guide
Comprehensive solutions and explanations for past GCSE Maths Paper 1 questions. Topics include solving quadratics, area calculations, ratios, probability, and more. Ideal for students preparing for their exams, with clear step-by-step methods and key concepts highlighted.
111,42317
Most popular content
9SociologySociology of Families: Comprehensive Revision
Dive into an extensive overview of family dynamics, perspectives, and patterns in sociology. This resource covers key concepts such as family diversity, gender roles, marriage, and the impact of social policies on family structures. Perfect for A-Level Sociology students preparing for Paper 2.
1273,8012,306
SociologySociology of Education Overview
Explore comprehensive A-Level Sociology notes on the education system, covering key theories, policies, and sociological perspectives. This resource includes insights on marketisation, gender roles, cultural deprivation, and educational inequalities, providing a thorough understanding of how education shapes social stratification and individual achievement. Ideal for exam preparation and in-depth study.
12102,9883,041
CriminologyCriminology: Crime & Punishment Overview
Comprehensive mindmaps covering key concepts in the Crime and Punishment topic for WJEC Criminology Unit 4. This resource includes detailed insights into the Criminal Justice System, crime prevention strategies, sentencing models, and the roles of various agencies. Ideal for A-Level revision, ensuring you grasp essential theories and legislative processes to excel in your exams.
1254,8991,061
SociologyComprehensive Crime & Deviance Overview
Explore an extensive revision of crime and deviance topics, including theories, types of crime, and the impact of media. This resource covers key concepts such as Marxism, functionalism, gender and crime, and the influence of globalization on criminal behavior. Ideal for students seeking a thorough understanding of criminology and its various theories. Type: Full Topic Revision.
1251,6731,401
C
BiologyCell Biology and Cell structure
cell structures
113,3020
CriminologyWJEC Unit 4 Criminology
Criminology unit 4 detailed revision note
127,177125
SociologySociological Theories Overview
Comprehensive revision of key sociological theories including Functionalism, Marxism, Feminism, and Interpretivism. Explore concepts like value freedom, identity formation, and the critique of social control. Ideal for AQA A-Level Sociology students preparing for exams. This summary covers essential theories and their implications in sociology, providing a clear understanding of each perspective.
1231,494846
T
BiologyThe functions of subcellular structures - B1 Biology
Flashcards on the different functions of subcellular structures: cell membrane, nucleus, mitochondria, ribosomes, cytoplasm, permant vacuole, chloroplasts and cell wall.
112,8215
1
Biology1.cells Gcse biology question cards
combined science higher biology
112,3744
Students love us — and so will you.
4.6/5App Store
4.7/5Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan SiOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha KlichAndroid user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
AnnaiOS user