Study Guides

    Comprehensive revision guides packed with worked examples, practice questions, and proven exam techniques.

    440 Guides
    GCSE & A-Level

    Showing 1–29 of 29 guides

    Mathematics
    Edexcel
    GCSE

    Algebra Skills: Cubic Graphs

    Master Edexcel GCSE Maths by conquering cubic graphs. This guide breaks down how to plot these distinctive S-shaped curves, use them to solve equations, and avoid the common pitfalls that cost candidates marks. Secure top grades by understanding the core principles of cubic functions.

    5 min3 examples5 Qs6 terms
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    Mathematics
    WJEC
    GCSE

    Algebraic expressions (simplifying, expanding, factorising)

    Algebraic expressions are the language of mathematics, allowing us to generalise patterns, solve problems, and model real-world situations. This topic covers three fundamental skills: simplifying expressions by collecting like terms, expanding brackets to remove parentheses, and factorising to write expressions in bracket form. Mastering these techniques is essential for success across all tiers of the WJEC GCSE, as they underpin equations, graphs, and problem-solving questions worth significant marks.

    12 min6 examples7 Qs10 terms
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    Mathematics
    WJEC
    GCSE

    Coordinate Geometry (lines, gradients, intercepts)

    Master WJEC GCSE Coordinate Geometry by understanding the crucial y = mx + c equation. This guide breaks down how to secure marks on gradients, intercepts, and parallel/perpendicular lines, turning a tricky topic into a reliable source of exam points.

    5 min3 examples5 Qs6 terms
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    Mathematics
    WJEC
    GCSE

    Data collection (sampling, questionnaires)

    Master WJEC GCSE Mathematics Data Collection (4.1) by learning how to design flawless questionnaires and calculate representative samples. This guide will show you how to secure every mark by avoiding common pitfalls and applying examiner-approved techniques for sampling and data presentation.

    6 min3 examples5 Qs
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    Mathematics
    OCR
    GCSE

    Data Handling

    Master OCR GCSE Data Handling with this guide, covering everything from basic charts to advanced histograms and cumulative frequency. Learn to interpret data, nail exam questions, and secure top marks.

    5 min3 examples5 Qs6 terms
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    Mathematics
    WJEC
    GCSE

    Data representation (tables, charts, graphs)

    This guide provides a comprehensive overview of Data Representation for WJEC GCSE Mathematics, focusing on the precise construction and interpretation of statistical diagrams. It covers everything from frequency polygons to histograms with unequal class widths, equipping you with the skills to earn maximum marks.

    5 min3 examples5 Qs6 terms
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    Mathematics
    AQA
    GCSE

    Error intervals

    Master AQA GCSE Maths Error Intervals (1.7) by understanding the precise language of bounds and inequality notation. This guide breaks down how to secure every mark, from rounding and truncation on the Foundation tier to complex calculations with bounds on the Higher tier.

    5 min3 examples5 Qs6 terms
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    Mathematics
    AQA
    GCSE

    Fractions, Decimals and Percentages

    Master the essential AQA GCSE Mathematics topic of Fractions, Decimals, and Percentages. This guide provides a deep dive into the core concepts, exam techniques, and multi-modal resources you need to secure top marks. Learn to fluently convert between forms, tackle complex problem-solving, and avoid common pitfalls.

    7 min3 examples5 Qs6 terms
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    Mathematics
    OCR
    GCSE

    Fractions, Decimals and Percentages

    Master the essential GCSE Maths topic of Fractions, Decimals, and Percentages (FDP). This guide will equip you to confidently switch between forms, tackle complex percentage problems, and secure maximum marks in your OCR exam. It's a cornerstone of the curriculum, vital for both calculator and non-calculator papers.

    5 min3 examples5 Qs6 terms
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    Mathematics
    Edexcel
    GCSE

    Geometry and Measures Skills: Constructions

    Master geometric constructions for your Edexcel GCSE Maths exam. This guide breaks down how to use a compass and ruler with precision, covering bisectors, triangles, and loci to help you secure every possible mark. Learn the techniques examiners want to see and avoid the common mistakes that cost candidates.

    5 min3 examples5 Qs6 terms
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    Mathematics
    Edexcel
    GCSE

    Geometry and Measures Skills: Loci

    Master the art of Loci and Constructions for your Edexcel GCSE Maths exam. This guide will teach you how to precisely construct paths and regions, a key skill that unlocks marks in geometry questions and is essential for both Foundation and Higher tiers.

    6 min3 examples5 Qs6 terms
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    Mathematics
    Edexcel
    GCSE

    Geometry and Measures Skills: Volume

    Master the essential skill of calculating volume for your Edexcel GCSE Maths exam. This guide breaks down everything from simple prisms to complex composite solids, giving you the formulas, exam techniques, and memory hooks needed to secure top marks.

    5 min3 examples5 Qs
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    Mathematics
    AQA
    GCSE

    Loci

    Master the art of Loci for your AQA GCSE Maths exam. This guide breaks down complex geometric constructions into simple, mark-scoring steps, complete with examiner insights, memory hooks, and a 10-minute podcast to solidify your understanding.

    6 min3 examples5 Qs6 terms
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    Mathematics
    Edexcel
    GCSE

    Number Skills: Compound Measures

    Master the essential exam skills for Compound Measures (Edexcel 1.11). This guide breaks down how to calculate and apply speed, density, and pressure, giving you the examiner's insight into securing every mark. We will cover the key formulas, unit conversions, and problem-solving strategies needed to excel in your GCSE Mathematics exam.

    6 min3 examples5 Qs6 terms
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    Mathematics
    WJEC
    GCSE

    Powers and roots

    This guide provides a comprehensive breakdown of Powers and Roots for WJEC GCSE Mathematics, focusing on core concepts, exam techniques, and common pitfalls. It is designed to build confidence and help candidates secure maximum marks in both calculator and non-calculator papers.

    7 min3 examples5 Qs6 terms
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    Mathematics
    OCR
    GCSE

    Powers and roots

    Unlock the power of numbers! This guide demystifies powers and roots for your OCR GCSE Maths exam, showing you how to master index laws and tackle complex calculations with confidence. From basic squares to tricky fractional indices, we'll equip you with the techniques to secure every last mark.

    6 min3 examples5 Qs
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    Mathematics
    OCR
    A-Level

    Probability

    This guide provides a comprehensive overview of Probability for OCR A-Level Mathematics, focusing on the core concepts of set notation, conditional probability, and independence. It is designed to help students master the exam techniques required to secure top marks by breaking down complex ideas into manageable steps and providing extensive practice.

    5 min3 examples5 Qs
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    Mathematics
    OCR
    GCSE

    Probability

    Master OCR GCSE Probability, from tree diagrams to conditional events. This guide breaks down complex concepts into mark-scoring techniques, using worked examples and examiner insights to show you exactly how to secure top grades.

    6 min3 examples5 Qs6 terms
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    Mathematics
    WJEC
    GCSE

    Probability (single events, combined events)

    Master WJEC GCSE Probability with this comprehensive guide. We will break down everything from single events to complex tree diagrams, giving you the examiner's perspective on how to secure every mark. This is your essential resource for turning confusing concepts into guaranteed exam points.

    6 min3 examples5 Qs6 terms
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    Mathematics
    AQA
    GCSE

    Proportion

    Master AQA GCSE Maths Proportion (1.13) with this comprehensive guide. We break down direct and inverse proportion, algebraic modelling, and graphical analysis to help you secure top marks. Learn the techniques examiners want to see and avoid the common pitfalls that cost students valuable marks.

    6 min3 examples5 Qs6 terms
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    Mathematics
    AQA
    GCSE

    Ratio

    Master AQA GCSE Ratio, a topic that guarantees marks in every exam. This guide breaks down everything from simple sharing to complex algebraic ratios, giving you the examiner's perspective on how to secure every point.

    6 min3 examples5 Qs6 terms
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    Mathematics
    OCR
    GCSE

    Ratio and proportion

    Master OCR GCSE Maths Topic 1.4: Ratio and Proportion. This guide breaks down simplifying ratios, sharing quantities, and tackling direct and inverse proportion to help you secure top marks in your exam.

    5 min3 examples5 Qs
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    Mathematics
    WJEC
    GCSE

    Scale drawings

    Master WJEC GCSE Scale Drawings (3.10) with this comprehensive guide. Learn to interpret scales, measure accurately, and construct diagrams to secure top marks in your exam. This guide breaks down complex concepts into easy-to-understand steps, complete with worked examples and examiner insights.

    6 min3 examples5 Qs6 terms
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    Mathematics
    AQA
    GCSE

    Simultaneous equations

    Master the art of solving simultaneous equations, a key topic for AQA GCSE Maths. This guide will equip you with the algebraic and graphical methods needed to secure top marks, turning tricky problems into straightforward solutions.

    7 min3 examples5 Qs6 terms
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    Mathematics
    Edexcel
    GCSE

    Statistics Skills: Averages (Mean, Median, Mode)

    Master the essential Statistics skills of Mean, Median, and Mode for your Edexcel GCSE Maths exam. This guide breaks down how to calculate, interpret, and compare averages, securing you top marks on these guaranteed-to-appear questions.

    10 min3 examples5 Qs
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    Mathematics
    Edexcel
    GCSE

    Statistics Skills: Scatter Graphs

    Scatter graphs are a powerful visual tool for analysing the relationship between two variables, and this topic is essential for both Foundation and Higher tier candidates. You'll learn to plot bivariate data accurately, draw lines of best fit using a ruler, describe correlation with precision, and make reliable estimates through interpolation while recognising the limitations of extrapolation. Master these skills and you'll confidently tackle scatter graph questions worth multiple marks in your exam.

    10 min5 examples7 Qs10 terms
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    Mathematics
    AQA
    GCSE

    Trigonometry

    Master the angles and lengths that underpin the world around us. This guide demystifies AQA GCSE Trigonometry, giving you the essential formulas, exam techniques, and multi-modal tools to solve complex 2D and 3D problems with confidence and secure top marks.

    6 min5 examples5 Qs8 terms
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    Mathematics
    OCR
    GCSE

    Vectors

    Master OCR GCSE Vectors with this guide, packed with examiner tips and interactive content. We'll break down everything from basic column vectors to complex geometric proofs, showing you how to secure every mark and turn a tricky topic into one of your strengths.

    5 min3 examples5 Qs
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    Mathematics
    AQA
    GCSE

    Vectors

    This guide provides a comprehensive overview of Vectors for AQA GCSE Mathematics, covering everything from basic column notation to complex geometric proofs. It's designed to help you secure every possible mark by focusing on examiner expectations, common pitfalls, and powerful memory techniques.

    4 min3 examples5 Qs6 terms
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