Mathematics

    Pearson Edexcel
    GCSE

    Specification: Pearson-GCSE-Mathematics

    The PEARSON-EDEXCEL GCSE Mathematics specification covers 6 topics with 0 learning objectives (Pearson-GCSE-Mathematics). Use the topic browser below to explore subtopics, exam tips, common mistakes, and key terminology for each area of the course.

    Starting Pearson Edexcel GCSE Mathematics this term? The whole specification is below, unit by unit.

    Mathematics builds your numerical fluency and problem-solving abilities across algebra, geometry, statistics and more. You'll develop logical reasoning skills applicable to science, finance and everyday decisions.

    6

    Topics

    0

    Objectives

    31

    Exam Tips

    33

    Pitfalls

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    Study Guides

    6 revision guides for Pearson Edexcel GCSE Mathematics

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    Key Features

    • Master algebraic manipulation
    • Solve multi-step problems
    • Apply statistics and probability
    • Develop proof and reasoning

    Assessment Objectives

    AO1
    50%

    Use and apply standard techniques

    AO2
    25%

    Reason, interpret and communicate mathematically

    AO3
    25%

    Solve problems within mathematics and in other contexts

    What Gets Top Grades

    A*/Grade 9

    Knowledge & Understanding

    Demonstrates comprehensive and accurate knowledge

    • Uses correct subject-specific terminology
    • Shows detailed understanding of concepts
    • Makes accurate connections between topics
    • Demonstrates depth beyond surface-level knowledge

    Application

    Applies knowledge effectively to new contexts

    • Selects relevant knowledge for the question
    • Adapts understanding to unfamiliar scenarios
    • Uses examples appropriately
    • Shows awareness of context

    Analysis & Evaluation

    Develops sophisticated analytical arguments

    • Constructs logical chains of reasoning
    • Considers multiple perspectives
    • Weighs evidence to reach justified conclusions
    • Acknowledges limitations and nuances

    Key Command Words

    Pearson Edexcel
    State
    1 mark

    Give a single fact or term

    Identify
    1 mark

    Name, select, or recognise

    Outline
    2 marks

    Set out main features briefly

    Describe
    2-4 marks

    Give an account of what something is like or what happens

    Explain
    3-6 marks

    Give reasons with developed cause→effect chains

    Compare
    2-4 marks

    State similarities AND differences (both required)

    Analyse
    6-9 marks

    Examine in detail showing cause→effect→consequence chains

    Evaluate
    6-12 marks

    Weigh up BOTH sides, reach JUSTIFIED conclusion

    Assess
    6-12 marks

    Make judgments about importance with justification

    Calculate
    2-4 marks

    Show formula→substitution→calculation→answer with units

    Common Exam Mistakes

    Pitfalls to avoid in your exams

    • •Incorrect order of operations (BODMAS/BIDMAS)
    • •Misinterpreting place value when multiplying or dividing by decimals
    • •Errors in handling negative numbers during addition or subtraction
    • •Failure to simplify fractions or surds fully
    • •Incorrectly identifying the number of significant figures or decimal places for rounding
    • •Miscalculating upper and lower bounds in limits of accuracy problems
    • •Errors in sign when expanding brackets or solving equations
    • •Confusing the rules for indices

    Top Examiner Tips

    Expert advice for exam success

    • •Show all working steps clearly to gain method marks even if the final answer is incorrect
    • •Use estimation to check the reasonableness of calculator answers
    • •Always check if a question requires an exact answer (e.g., in terms of pi or surds)
    • •Practice converting between fractions, decimals, and percentages fluently
    • •Read the question carefully to identify if it asks for significant figures or decimal places
    • •Always show working out for multi-step algebraic problems to gain method marks
    • •Check solutions by substituting values back into the original equation
    • •Use a ruler for sketching graphs and drawing lines of best fit

    Specification Topics

    6 topics

    Number

    The Number topic covers the fundamental principles of arithmetic, including operations with integers, decimals, fractions, and negative numbers. It also encompasses essential concepts such as place value, prime numbers, factors, multiples, powers, roots, standard form, and the application of rounding and estimation for accuracy.

    0 objectives5 tips6 pitfalls

    Algebra

    The Algebra topic covers the development of algebraic fluency, including the manipulation of expressions, solving equations, and working with functions. Students learn to represent mathematical relationships through graphs, sequences, and algebraic notation, progressing from linear to quadratic and non-linear models.

    0 objectives5 tips6 pitfalls

    Ratio, proportion and rates of change

    This topic covers the fundamental principles of ratio, proportion, and rates of change, including the application of scale factors, compound measures, and percentage change. Students learn to manipulate ratios, solve problems involving direct and inverse proportion, and interpret rates of change in both numerical and graphical contexts.

    0 objectives5 tips5 pitfalls

    Geometry and measures

    This topic covers the fundamental principles of geometry and measures, including properties of shapes, constructions, and coordinate geometry. It also encompasses mensuration, such as calculating perimeters, areas, and volumes of various 2D and 3D shapes, as well as the application of trigonometry and vectors.

    0 objectives6 tips6 pitfalls

    Probability

    This topic covers the fundamental principles of probability, including the use of frequency trees, Venn diagrams, and tree diagrams to represent and calculate outcomes. It extends to the calculation of probabilities for both independent and dependent combined events, as well as the application of conditional probability in more advanced contexts.

    0 objectives5 tips5 pitfalls

    Statistics

    This topic covers the collection, presentation, and analysis of statistical data. Students learn to interpret various charts and diagrams, calculate measures of central tendency and spread, and understand the principles of sampling and correlation in bivariate data.

    0 objectives5 tips5 pitfalls

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