(Edexcel) GCSE Mathematics – Knowness

Welcome to the GCSE Mathematics study guide for the Edexcel exam board! This study guide is structured to cover all of the topics in the Edexcel specification, providing you with all of the essential information you need for your GCSE examinations.

Course Content

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GCSE Mathematics 2 Topics Sample Module

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Introduction to GCSE Mathematics

Assessment Structure

1. Number

Structure and Calculation 9 Topics Sample Module

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N1 – Integers, Decimals and Fractions

N2 – Addition, Subtraction, Multiplication and Division

N3 – Mathematical Operations

N4 – Prime Numbers and Factorisation

N5 – Systematic Listing Strategies

N6 – Positive Integer Powers and Real Roots

N7 – Roots and Integer Indices

N8 – Fractions and Multiples of π

N9 – Standard Form

Fractions, Decimals and Percentages 3 Topics

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N10 – Terminating Decimals and Fractions

N11 – Fractions and Ratios

N12 – Fractions and Percentages as Operators

Measures and Accuracy 4 Topics

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N13 – Standard Units of Measurement

N14 – Approximation and Estimation

N15 – Rounding Numbers and Measures

N16 – Limits of Accuracy

2. Algebra

Notation, Vocabulary and Manipulation 7 Topics

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A1 – Algebraic Manipulation

A2 – Numerical Substitution

A3 – Algebraic Concepts and Vocabulary

A4 – Simplifying and Manipulating Algebraic Expressions

A5 – Mathematical Formulae

A6 – Equations and Identities

A7 – Functions

Graphs 9 Topics

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A8 – Coordinates

A9 – Straight-Line Graphs

A10 – Gradients and Intercepts of Linear Functions

A11 – Quadratic Functions

A12 – Graphs of Functions

A13 – Translations and Reflections (HT only)

A14 – Graphs for Problem Solving

A15 – Calculations and Estimates using Graphs (HT only)

A16 – Equation of a Circle (HT only)

Solving Equations and Inequalities 6 Topics

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A17 – Solving Linear Equations

A18 – Solving Quadratic Equations

A19 – Solving Simultaneous Equations

A20 – Iteration (HT only)

A21 – Translating Situations into Algebraic Expressions

A22 – Solving Linear and Quadratic Inequalities

Sequences 3 Topics

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A23 – Generating Terms of a Sequence

A24 – Using Sequences

A25 – Linear and Quadratic Sequences

3. Ratio, Proportion and Rates of Change

Ratio, Proportion and Rates of Change 16 Topics

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R1 – Converting Between Units

R2 – Scale Factors, Scale Diagrams and Maps

R3 – Expressing Quantities as Fractions

R4 – Ratio Notation

R5 – Ratios and Parts

R6 – Multiplicative Relationships

R7 – Proportion as Equality of Ratios

R8 – Relating Ratios to Fractions and Linear Functions

R9 – Percentages

R10 – Solving Problems Involving Direct and Inverse Proportion

R11 – Compound Units

R12 – Ratio Comparisons, Similarity and Scale Factors

R13 – Direct and Inverse Proportion Equations

R14 – Rate of Change and Graphs of Proportion

R15 – Instantaneous Rate of Change (HT only)

R16 – Growth and Decay

4. Geometry and Measures

Properties and Constructions 13 Topics

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G1 – Geometric Notation

G2 – Constructions

G3 – Angle Properties

G4 – Quadrilateral Properties

G5 – Congruence Criteria for Triangles

G6 – Angles, Triangles, Quadrilaterals and Pythagoras’ Theorem

G7 – Congruent and Similar Shapes

G8 – Rotations, Reflections and Translations (HT only)

G9 – Circle Definitions and Properties

G10 – Circle Theorems (HT only)

G11 – Solving Geometrical Problems on Coordinate Axes

G12 – Faces, Surfaces, Edges and Vertices of 3D Shapes

G13 – Plans and Elevations of 3D Shapes

Mensuration and Calculation 10 Topics

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G14 – Standard Units of Measure

G15 – Line Segments and Angles in Geometric Figures

G16 – Calculating Area and Volume of Shapes

G17 – Calculating Circumference, Perimeter, Area, Surface Area and Volume of Shapes

G18 – Arc Lengths, Angles and Areas of Sectors of Circles

G19 – Congruence and Similarity

G20 – Pythagoras’ Theorem and Trigonometric Ratios

G21 – sin θ, cos θ and tan θ

G22 – Sine Rule and Cosine Rule (HT only)

G23 – The Area Sine Rule (HT only)

Vectors 2 Topics

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G24 – Translations as 2D Vectors

G25 – Vector Operations

5. Probability

Probability 9 Topics

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P1 – Probability Experiments

P2 – Calculating Expected Outcomes of Future Experiments

P3 – Relative Expected Frequencies and Theoretical Probability

P4 – Probabilities of Exhaustive Sets

P5 – Empirical Unbiased Samples and Theoretical Probability Distributions

P6 – Sets and Combinations

P7 – Theoretical Possibility Spaces

P8 – Independent and Dependent Combined Events

P9 – Conditional Probability (HT only)

6. Statistics

Statistics 6 Topics

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S1 – Sampling

S2 – Data Representation

S3 – Grouped Data (HT only)

S4 – Data Distributions

S5 – Population

S6 – Scatter Graphs

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