Study guides

Geometry and measures - Properties and constructions: derive and apply the properties and definitions of: special types of quadrilaterals, including square, rectangle, parallelogram, trapezium, kite and rhombus; and triangles and other plane figures using appropriate language

Pearson Edexcel·GCSE

1MA1

Become a shape detective: use parallel sides, equal lengths and diagonal properties to unlock missing angles and convincing proofs. This Pearson Edexcel GCSE guide shows how precise definitions, clear working and named reasons turn geometry knowledge into exam marks.

Geometry and measures - Properties and constructions: describe the changes and invariance achieved by combinations of rotations, reflections and translations (Higher tier only)

Pearson Edexcel·GCSE

1MA1

Two reflections can secretly become a slide or a turn. Learn to track successive images, describe the equivalent transformation completely, and distinguish unchanged lengths and angles from points that genuinely stay fixed, so your Higher-tier answers secure the available marks.

Geometry and measures - Properties and constructions: identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment

Pearson Edexcel·GCSE

1MA1

Turn a circle diagram into marks by recognising its nine named parts and choosing the right calculation. Learn why a diameter is a special chord, how a sector differs from a segment, and when to give an exact answer in terms of π.

Geometry and measures - Properties and constructions: identify properties of the faces, surfaces, edges and vertices of: cubes, cuboids, prisms, cylinders, pyramids, cones and spheres

Pearson Edexcel·GCSE

1MA1

Geometry and measures - Properties and constructions: identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering rotation, reflection, translation and enlargement (including fractional and negative scale factors) (Higher tier)

Pearson Edexcel·GCSE

1MA1

Geometry and measures - Properties and constructions: identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering rotation, reflection, translation and enlargement (including fractional scale factors) (Foundation tier)

Pearson Edexcel·GCSE

1MA1

Geometry and measures - Properties and constructions: solve geometrical problems on coordinate axes

Pearson Edexcel·GCSE

1MA1

Geometry and measures - Properties and constructions: use conventional terms and notations: points, lines, vertices, edges, planes, parallel lines, perpendicular lines, right angles, polygons, regular polygons and polygons with reflection and/or rotation symmetries; use the standard conventions for labelling and referring to the sides and angles of triangles; draw diagrams from written description

Pearson Edexcel·GCSE

1MA1

Geometry questions reward candidates who can turn mathematical language into an exact diagram. Master the notation, marks and triangle conventions in G1 and you will avoid losing straightforward marks while building a reliable foundation for angle facts, shape properties and transformations. Use the [complete downloadable JSON guide](/home/ubuntu/study_guide/geometry_notation_and_diagrams_study_guide.json) alongside the diagrams and ten-minute audio episode.

Geometry and measures - Properties and constructions: use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)

Pearson Edexcel·GCSE

1MA1

Geometry and measures - Properties and constructions: use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); use these to construct given figures and solve loci problems; know that the perpendicular distance from a point to a line is the shortest distance to the line

Pearson Edexcel·GCSE

1MA1

Geometry and measures - Vectors: apply addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic and column representations of vectors (Foundation tier)

Pearson Edexcel·GCSE

1MA1

Geometry and measures - Vectors: describe translations as 2D vectors

Pearson Edexcel·GCSE

1MA1

Geothermal Power

OCR·GCSE

This guide provides a comprehensive, exam-focused breakdown of Geothermal Power for OCR GCSE Physics (5.12). It covers the essential energy transfer processes, key advantages and disadvantages, and the specific exam techniques required to secure top marks on questions about this reliable, renewable energy source.

Glacial erosion and deposition create distinctive landforms within glaciated upland landscapes

Pearson Edexcel·GCSE

Pearson-GCSE-Geography

Discover how massive sheets of ice sculpted the dramatic peaks and deep valleys of the UK's glaciated uplands. This study guide covers the powerful processes of glacial erosion and deposition, the distinctive landforms they create, and how humans interact with these spectacular but fragile environments today.

Glacial Landscapes

OCR·GCSE

This study guide provides a comprehensive, exam-focused breakdown of UK Glacial Landscapes for OCR GCSE Geography. It explores the powerful physical processes that carved out dramatic scenery in places like the Lake District and Snowdonia, and equips candidates with the skills to analyse these relict landscapes and the human pressures they face today.

Global climate is now changing as a result of human activity

Pearson Edexcel·GCSE

Pearson-GCSE-Geography

This study guide covers the crucial topic of human-induced climate change, exploring how industry, transport, and agriculture are intensifying the natural greenhouse effect. It breaks down both the environmental and social impacts globally, providing the specific named examples and clear causal links that examiners reward.

Global industries and companies (multinational corporations)

Pearson Edexcel·A-Level

Pearson-A-Level-Business

This topic explores the massive power and influence of Multinational Corporations (MNCs) in the modern global economy. You will learn why these business giants exist, how they impact both local communities and national economies, and the complex ethical dilemmas they create for stakeholders.

Global Warming

OCR·GCSE

This guide provides a comprehensive, exam-focused breakdown of Global Warming (OCR GCSE Biology 7.8). It covers the core science, from the natural greenhouse effect to the human activities driving climate change, and equips you with the specific knowledge and exam technique needed to secure top marks.

Globalisation

Pearson Edexcel·GCSE

Pearson-GCSE-Economics

Globalisation is the defining economic phenomenon of our time, connecting markets, cultures, and populations worldwide. This guide covers the drivers, benefits, and costs of a more interconnected world, giving you the precise definitions and evaluation skills needed to secure top marks.

Globalisation

AQA·GCSE

8132

Globalisation is the process that connects businesses, economies, and cultures worldwide. This study guide covers how UK businesses navigate international markets, compete globally, and manage the impact of exchange rates.

Globalisation

AQA·A-Level

This study guide explores the globalisation of sport, a key topic in AQA A-Level Physical Education. It examines how the 'Golden Triangle' of sport, media, and sponsorship has created a worldwide industry, and critically evaluates the consequences for performers, spectators, and the integrity of sport itself.

Globalisation

OCR·GCSE

J205

This guide delves into the complex world of globalisation, exploring how interconnected our economies have become. It's a crucial topic for your OCR GCSE Economics exam, and mastering it will help you understand the forces shaping our modern world and unlock top marks."

Globalisation

Pearson Edexcel·A-Level

Pearson-A-Level-Geography

Globalisation has transformed the modern world, creating a highly interconnected consumer society with profound economic, social, and environmental impacts. This study guide explores how ethical concerns have driven a shift towards localism, fair trade, and sustainable resource management.

Globalisation and economic change create challenges for the chosen UK city that require long-term solutions

Pearson Edexcel·GCSE

Pearson-GCSE-Geography

This study guide explores how globalisation and economic change have transformed major UK cities like Manchester. It examines the causes of deindustrialisation, the resulting social inequalities, and the long-term sustainable strategies needed to manage these urban challenges.

Goal Setting, Stress, and Arousal

WJEC·A-Level

This study guide provides a comprehensive analysis of Goal Setting, Stress, and Arousal for WJEC A-Level Physical Education. It covers key psychological theories, practical application to sporting performance, and exam technique required to achieve top marks in this crucial area of the specification.

Goal Setting: SMART Principles

OCR·GCSE

This guide provides a comprehensive overview of the SMART principles of goal setting for OCR GCSE Physical Education (J587). It covers the core theory, practical application, and exam technique required to achieve top marks, focusing on how to construct and evaluate effective performance goals.

Good customer services

AQA·GCSE

8132

This study guide covers the critical role of customer service in business success. It explains the methods used, the financial and reputational impacts of good versus poor service, and how ICT has revolutionised customer interactions.

Good, Evil, and Suffering

Pearson Edexcel·GCSE

This study guide tackles the profound philosophical problem of evil and suffering, a cornerstone of the Edexcel GCSE Religious Studies specification. It unpacks why the existence of a good, powerful God is questioned and explores the key theological defences, equipping candidates to analyse, evaluate, and excel in their exam.

Good, Evil, and Suffering

AQA·GCSE

This study guide for AQA GCSE Religious Studies unpacks the profound theological problem of evil and suffering. It explores the core tension between God's nature and the reality of pain, equipping candidates with the critical arguments, scriptural evidence, and exam techniques needed to achieve top marks in this challenging but rewarding topic.

Government and the economy

Pearson Edexcel·GCSE

Pearson-GCSE-Economics

This topic explores how the government intervenes in the economy to achieve its four main macroeconomic objectives. It covers the tools of fiscal, monetary, and supply-side policy, helping students understand how decisions made in Westminster and the Bank of England impact our daily lives.