GCSE Specification Topic & Subtopic Matrix
Comprehensive subject units, 10 detailed archetype subtopics per topic, and Grade 1β9 difficulty mappings.
GCSE Mathematics
AQA, Edexcel, OCR, Eduqas, CIE (Cambridge) (8300 / 1MA1)HCF, LCM & Prime Factorisation
Finding prime factors, highest common factors and lowest common multiples.
Fractions, Decimals, Percentages & Recurring Decimals
Fractions arithmetic, percentage change, reverse percentages, converting recurring decimals.
Indices, Powers & Standard Form
Laws of indices, fractional/negative powers, scientific notation $A \times 10^n$.
Surds & Simplifying Irrational Expressions
Simplifying surds $\sqrt{ab}$, rationalising the denominator.
Estimation, Rounding & Upper/Lower Bounds
Significant figures, error intervals, calculating bounds in calculations.
Linear Equations, Inequalities & Rearranging Formulae
Solving multi-step equations, linear inequalities on number lines, changing the subject.
Quadratic Equations, Factoring & Completing Square
Factoring $ax^2+bx+c=0$, completing the square, quadratic formula.
Simultaneous Equations (Linear & Non-Linear)
Solving linear and non-linear simultaneous equations algebraically.
Sequences, Nth Term (Linear & Quadratic) & Progressions
$n$-th term formula for linear and quadratic sequences $an^2+bn+c$, Fibonacci.
Algebraic Fractions, Proof & Functions
Simplifying algebraic fractions, composite/inverse functions $f(g(x))$, formal algebraic proof.
Quadratic, Cubic & Reciprocal Graphs
Turning points, roots, intercepts, sketching cubic $y=x^3$ and reciprocal $y=1/x$ graphs.
Ratio Sharing & Compound Measures (Speed, Density, Pressure)
Sharing in ratios, compound units speed $v=d/t$, density $\rho=m/V$, pressure $P=F/A$.
Direct & Inverse Proportion
Proportional constants $y = k x^n$ and $y = k / x^n$, proportion graphs.
Angles, Polygons, Circle Theorems & Geometric Proofs
Interior/exterior polygon angles, 8 circle theorems (alternate segment, cyclic quad).
Trigonometry in 3D & Non-Right Triangles
Sine rule, Cosine rule, Area $\frac{1}{2}ab\sin C$, 3D Pythagoras.
Vector Geometry, Column Vectors & Vector Proofs
Vector addition, scalar multiplication, proving collinearity and parallel lines.
Probability Trees, Venn Diagrams & Conditional Probability
Tree diagrams without replacement, Venn diagrams, conditional $P(A|B)$.
Histograms, Cumulative Frequency & Box Plots
Frequency density $= F/W$, cumulative frequency curves, IQR, box plots.
GCSE Physics
AQA, Edexcel, OCR, CIE (Cambridge) (8463 / 1PH0)Energy Stores, Transfers & Efficiency
Kinetic energy $E_k=\frac{1}{2}mv^2$, gravitational $E_p=mgh$, work done, efficiency.
Specific Heat Capacity & Specific Latent Heat
Thermal energy $\Delta E = m c \Delta T$, latent heat $E = m L$, heating curves.
Circuit Components, Series/Parallel & Ohm's Law
Ohmβs Law $V=IR$, series/parallel rules, IV characteristics (diode, filament bulb).
Mains Electricity, AC/DC & Electrical Power
Live/neutral/earth wires, AC vs DC, electrical power $P=IV=I^2R$, energy $E=Pt$.
Particle Model, Density & Gas Pressure
Density $\rho=m/V$, state changes, gas pressure $pV=\text{constant}$, internal energy.
Atomic Structure, Radioactive Decay & Half-life
Alpha, beta, gamma radiation, half-life calculations, nuclear fission vs fusion.
Resultant Forces, Newton's Laws & Vector Diagrams
Newton's 1st, 2nd ($F=ma$) and 3rd laws, scalar vs vector, resolving forces.
Velocity-Time Graphs, Stopping Distance & Momentum
Acceleration $a=\Delta v/t$, gradient/area on VT graphs, stopping distance, momentum $p=mv$.
Wave Equation, Transverse/Longitudinal & Refraction
Wave speed $v=f\lambda$, transverse vs longitudinal, refraction wave front diagrams.
EM Spectrum, Lenses & Radiation
EM spectrum order, convex/concave ray diagrams, blackbody radiation.
Magnetism, Electromagnetism & Transformers
Fleming's left hand rule $F=BIL$, electric motors, transformers $V_p/V_s = N_p/N_s$.
Space Physics, Solar System & Red Shift
Life cycle of stars, orbital motion, red-shift, expanding universe, Big Bang theory.
GCSE Chemistry
AQA, Edexcel, OCR, CIE (Cambridge) (8462 / 1CH0)Atomic Structure, Isotopes & Relative Atomic Mass
Protons, neutrons, electrons, isotopes, calculating relative atomic mass $A_r$.
Periodic Table Trends, Group 1 & Group 7
Mendeleev, Group 1 alkali metals, Group 7 halogens displacement, Group 0 noble gases.
Ionic, Covalent & Metallic Bonding, Nanoparticles
Dot and cross diagrams, giant ionic lattices, simple molecules, giant covalent, alloys.
Relative Formula Mass & Moles
Calculating $M_r$, $\text{Moles} = \text{Mass}/M_r$, Avogadro constant $6.02 \times 10^{23}$.
Percentage Yield, Atom Economy & Gas Volumes
Percentage yield, atom economy, molar gas volume $24\text{ dm}^3$, titration conc $\text{mol/dm}^3$.
Reactivity Series & Metal Extraction
Displacement reactions, carbon reduction, oxidation (gain of oxygen / loss of electrons).
Acids, Alkalis, Neutralisation & Titrations
pH scale, strong vs weak acids, neutralisation $\text{H}^+ + \text{OH}^- \rightarrow \text{H}_2\text{O}$, making soluble salts.
Electrolysis of Molten & Aqueous Compounds
Electrolysis of molten NaCl, aqueous $\text{CuSO}_4$, aluminium extraction from bauxite.
Exothermic & Endothermic Reactions & Bond Energy
Reaction profiles, activation energy, calculating bond energy changes $\Delta H$.
Rates of Reaction & Collision Theory
Measuring reaction rates, collision theory, temperature, concentration, catalysts.
Dynamic Equilibrium & Le Chatelier's Principle
Reversible reactions, Haber process, Le Chatelier's principle (temp, pressure, conc).
Crude Oil, Fractional Distillation & Alkanes
Fractional distillation, alkanes $\text{C}_n\text{H}_{2n+2}$, combustion, catalytic cracking.
GCSE Biology
AQA, Edexcel, OCR, CIE (Cambridge) (8461 / 1BI0)Cell Structure, Microscopy & Organelles
Eukaryotes vs prokaryotes, plant/animal cells, light vs electron microscopes $I=AM$.
Mitosis, Cell Cycle & Stem Cells
Mitosis stages, cell cycle, embryonic vs adult stem cells, therapeutic cloning.
Transport in Cells: Diffusion, Osmosis & Active Transport
Diffusion concentration gradient, osmosis in potato cylinders, active transport (ATP).
Digestive System, Enzymes & Food Tests
Lock and key theory, enzyme denaturation, Benedict's, Iodine, Biuret, Sudan III tests.
Heart, Blood Vessels & Circulation
Double circulatory system, heart chambers, arteries/veins/capillaries, coronary heart disease.
Plant Transport (Xylem/Phloem & Transpiration)
Xylem water transport, phloem translocation, stomata, factors affecting transpiration rate.
Pathogens, Monoclonal Antibodies & Vaccines
Viruses, bacteria, fungi, protists (malaria), white blood cells, herd immunity, antibiotics.
Photosynthesis & Limiting Factors
Photosynthesis $6\text{CO}_2+6\text{H}_2\text{O} \rightarrow \text{C}_6\text{H}_{12}\text{O}_6+6\text{O}_2$, inverse square law.
Aerobic & Anaerobic Respiration
Aerobic respiration, anaerobic lactic acid in muscles, fermentation in yeast, oxygen debt.
Nervous System & Reflex Arcs
Central nervous system, sensory/relay/motor neurones, synapses, reflex arc path.
Hormones, Blood Glucose & Diabetes
Insulin and glucagon, Type 1 vs Type 2 diabetes, menstrual cycle hormones (FSH, LH, estrogen).
DNA Structure, Inheritance & Punnett Squares
DNA double helix, genes, genome, homozygous/heterozygous, Punnett squares, polydactyly.
GCSE Computer Science
OCR, AQA, Edexcel, CIE (Cambridge) (J277 / 8525)CPU Architecture & FDE Cycle
Registers (MAR, MDR, PC, ACC), ALU, CU, Fetch-Decode-Execute cycle.
RAM, ROM, Cache & Secondary Storage
RAM vs ROM, volatile memory, cache levels, optical vs magnetic vs solid state storage.
Network Topologies, Protocols & Layers
Star and mesh topologies, TCP/IP layers, HTTP, HTTPS, FTP, SMTP, IP/MAC addresses.
Cybersecurity Threats & Prevention
Phishing, SQL injection, malware, brute force, firewalls, encryption, pen testing.
Operating Systems & Utility Software
User interface, memory management, multitasking, defragmentation, backup software.
Binary, Hexadecimal & Data Representation
8-bit binary, hexadecimal conversion, two's complement, ASCII vs Unicode.
GCSE English Literature
AQA, Edexcel, Eduqas, OCR (8702)Macbeth: Ambition, Guilt & Supernatural
Lady Macbeth, dramatic irony, blood motif, Jacobean context, Divine Right of Kings.
Romeo & Juliet: Love, Conflict & Fate
Feud, violent passion, fate vs free will, patriarchal structures in Verona.
A Christmas Carol / Jekyll & Hyde: Social Inequality & Redemption
Scrooge's transformation, Victorian poverty, Malthusian economic views / Duality of man.
An Inspector Calls: Social Responsibility & Class System
Priestleyβs socialist message, Birling family dynamics, dramatic irony of 1912 vs 1945.
Power & Conflict Poetry: Ozymandias, Bayonet Charge & Exposure
Comparing poetic devices, power of nature vs power of man, war trauma imagery.
GCSE English Language
AQA, Edexcel, Eduqas, OCR (8700 / 1EN0)Skimming, Scanning & Explicit vs Implicit Meaning
Identifying explicit facts, inferring implicit meanings, summarising non-fiction extracts.
Analyzing Metaphors, Similes, Tone & Writer's Intent
Analyzing word choice, figurative language, tone, connotation and reader impact.
Structural Devices, Pacing & Narrative Perspective
Focus shifts, zoom in/out, narrative perspective, chronological order, volta.
Synthesising Information & Comparing Writers' Viewpoints
Comparing perspectives across 19th and 21st century non-fiction texts.
Descriptive & Narrative Writing (Sensory & Plot)
Sensory imagery, drop-shift-zoom-end structure, ambitious vocabulary, punctuation.
Discursive & Persuasive Writing (DAFORET Rhetoric)
Speeches, articles, letters using Direct address, Anecdotes, Facts, Opinion, Rhetorical questions, Emotive language, Triples.
GCSE Business Studies
AQA, Edexcel, OCR (8132 / 1BS0)Enterprise & Entrepreneurship (Risk, Reward & Added Value)
Role of entrepreneur, calculating added value, financial vs non-financial rewards, risk management.
Spotting a Business Opportunity (Market Segmentation)
Primary vs secondary market research, quantitative vs qualitative data, market mapping.
Break-Even Analysis, Revenue, Costs & Cash Flow
Total costs = fixed + variable, revenue = price x quantity, break-even chart, cash flow forecast.
Business Ownership Structures (Sole Trader, LTD, PLC)
Sole trader, partnership, Private Limited Company (LTD), Public Limited Company (PLC), liability.
Economic Climate, Inflation, Interest Rates & Exchange Rates
Impact of interest rates on borrowing/saving, exchange rates (SPICED), inflation, consumer spending.
Growing the Business (Organic vs Inorganic & E-Commerce)
Organic internal growth, mergers & acquisitions, e-commerce digital footprint, globalisation.
Product Life Cycle, Pricing Strategies & Operational Quality
4 Ps (Product, Price, Place, Promotion), penetration pricing, skimming, JIT vs JIC stock control.
Financial Statements, Income Statement & Employee Motivation
Gross profit, net profit, balance sheet assets/liabilities, recruitment, Maslow/Taylor motivation.
GCSE Economics
AQA, OCR, Edexcel (8136 / J205)The Basic Economic Problem (Scarcity & Opportunity Cost)
Finite resources vs infinite wants, factors of production (Land, Labour, Capital, Enterprise), PPC.
How Markets Work: Demand, Supply & Equilibrium Price
Demand curve, supply curve, market equilibrium price determination, excess supply/demand.
Price Elasticity of Demand (PED) & Revenue Impact
Calculating $\text{PED} = \%\Delta Q_d / \%\Delta P$, elastic vs inelastic demand, total revenue.
Market Failure, Externalities & Government Intervention
Negative externalities of production/consumption, public goods, indirect taxes, subsidies.
Costs, Revenues, Profits & Economies of Scale
Total/Average cost, total revenue, profit $= TR - TC$, internal/external economies of scale.
Macroeconomic Objectives (GDP Growth, Inflation & Employment)
Real GDP growth, Consumer Price Index (CPI) inflation, unemployment types, balance of payments.
Government Macroeconomic Policies (Fiscal & Monetary)
Fiscal policy (taxing & government spending), Monetary policy (interest rates), Supply-side policies.
International Economics, Protectionism & Exchange Rates
Free trade benefits, tariffs, quotas, exchange rate appreciation/depreciation effects on exports.
GCSE History
AQA, Edexcel, OCR (8145)Germany 1890β1945: Weimar Republic & Rise of Hitler
Kaiser Wilhelm II, Treaty of Versailles, 1923 Hyperinflation, Wall Street Crash 1929, Hitler becoming Chancellor.
Nazi Dictatorship 1933β1945: Terror, Control & Life in Nazi Germany
Enabling Act 1933, Gestapo, SS, Goebbels propaganda, Hitler Youth, Nuremberg Laws, Kristallnacht.
Russia 1894β1945: Tsardom, Bolshevik Revolution & Stalinism
Tsar Nicholas II, 1905 Revolution, Lenin, Bolshevik October 1917 Revolution, Stalin's Purges & Five-Year Plans.
America 1920β1973: Opportunity, Great Depression & Civil Rights
Roaring Twenties, Prohibition, Wall Street Crash 1929, New Deal, Martin Luther King & Civil Rights Movement.
Conflict & Tension 1894β1918: First World War & Alliance Systems
Triple Entente vs Triple Alliance, Assassination of Franz Ferdinand, Trench Warfare, Battle of Somme, Armistice 1918.
Conflict & Tension 1918β1939: League of Nations & Origins of WW2
League of Nations failures (Abyssinia & Manchuria), Hitler's foreign policy, Remilitarisation of Rhineland, Appeasement & Munich 1938.
The Cold War 1945β1972: Berlin Wall & Cuban Missile Crisis
Yalta/Potsdam, Truman Doctrine, Berlin Blockade 1948, Berlin Wall 1961, Cuban Missile Crisis 1962, Vietnam War.
Norman England c1066β1100: Conquest, Feudalism & Domesday Book
Battle of Hastings 1066, Harrying of the North, Feudal System, Motte and Bailey Castles, Domesday Book 1086.
Elizabethan England c1568β1603: Religious Settlement & Spanish Armada
Queen Elizabeth I, Religious Settlement 1559, Catholic plots, Mary Queen of Scots execution 1587, Spanish Armada 1588.
Health & the People c1000βPresent: Medicine, Surgery & Public Health
Medieval Black Death, Vesalius, Harvey, Jenner vaccination, Pasteur Germ Theory, Fleming Penicillin, NHS 1948.
Power & the People c1170βPresent: Magna Carta, Civil War & Suffragettes
Magna Carta 1215, Simon de Montfort, English Civil War & Oliver Cromwell, Chartists, Women's Suffrage Movement.
GCSE Geography
AQA, Edexcel, OCR (8035)Plate Tectonics, Earthquakes & Volcanic Hazards
Constructive, destructive, conservative plate margins, subduction, earthquake management.
Weather Hazards, Tropical Storms & Climate Change
Global atmospheric circulation, hurricane formation, climate change evidence and mitigation.
Coastal Landscapes, Erosion & Management
Wave types, hydraulic action, abrasion, arches, stacks, sea walls, groynes, managed retreat.
River Processes, Landforms & Flood Management
V-shaped valleys, meanders, oxbow lakes, embankments, afforestation, hydrographs.
Urban Issues, Megacities & Sustainable Cities
Urbanisation in LICs/NEEs, Rio de Janeiro favelas, Freiburg sustainable urban living.