A-Level Further Maths (Edexcel)216 questions analysed · 763 total marks

Differential Equations21.5%

Second Order10.2%

First Order6.3%

Applications & SHM5.0%

Complex Numbers18.1%

Exponential Form & De Moivre7.2%

Argand Diagrams6.7%

Complex Numbers Applications3.3%

Foundations & Operations0.9%

Further Calculus15.5%

Advanced Applications8.3%

Integration Techniques7.2%

Further Algebra & Functions12.7%

Series7.3%

Roots of Polynomials5.4%

Matrices10.6%

Determinants & Inverses7.2%

Transformations3.4%

Polar Coordinates6.7%

Calculus6.7%

Further Vectors6.2%

3D Vector Geometry6.2%

Hyperbolic Functions5.6%

Inverse Hyperbolic Functions3.3%

Definitions & Identities2.4%

Proof3.1%

Methods of Proof3.1%

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A-Level Maths (AQA)862 questions analysed · 2,199 total marks

Differentiation13.0%

Differentiation Applications9.2%

Differentiation Techniques3.3%

From First Principles0.4%

Sequences & Series9.7%

Series5.0%

Binomial Expansion3.4%

Sequences1.4%

Trigonometry9.5%

Identities & Equations6.5%

Trig Functions1.6%

Radian Measure1.4%

Algebra & Functions9.1%

Functions4.9%

Algebraic Manipulation3.0%

Quadratics & Inequalities1.3%

Integration8.7%

Core4.0%

Integration Techniques2.8%

Differential Equations1.9%

Kinematics7.1%

Motion in a Straight Line6.6%

Calculus in Kinematics0.5%

Coordinate Geometry7.1%

Circles3.1%

Parametric Equations2.6%

Straight Lines1.4%

Statistical Distributions6.9%

Models6.9%

Exponentials & Logarithms5.6%

Logarithms4.3%

Exponential Functions1.3%

Forces & Newton’s Laws5.2%

Laws & Applications5.2%

Hypothesis Testing4.2%

Hypothesis Testing Methods4.2%

Numerical Methods3.9%

Roots3.7%

Numerical Integration0.2%

Proof2.6%

Proof Methods2.6%

Probability2.3%

Foundations2.3%

Data Presentation & Interpretation1.5%

Summary Statistics0.9%

Graphical Methods0.6%

Vectors1.4%

Vectors Applications1.0%

Operations0.3%

Basics0.1%

Moments1.1%

Equilibrium of Rigid Bodies1.1%

Sampling1.1%

Concepts & Methods1.1%

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A-Level Maths (Edexcel)730 questions analysed · 2,038 total marks

Integration13.8%

Differential Equations5.0%

Basics & Areas4.9%

Integration Techniques4.0%

Differentiation10.1%

Differentiation Applications6.5%

Rules & Techniques2.0%

Foundations & First Principles1.6%

Kinematics9.8%

Projectiles (under constant g)4.1%

Calculus in Kinematics3.6%

Motion in a Straight Line2.0%

Algebra & Functions9.4%

Functions & Graphs5.9%

Quadratics & Inequalities1.9%

Polynomials & Rational Expressions1.5%

Indices & Surds0.1%

Trigonometry8.5%

Identities & Equations5.8%

Radians & Triangle Geometry1.7%

Trig Functions & Graphs0.7%

Proofs & Applications0.2%

Sequences & Series7.5%

Series4.0%

Binomial Expansion2.2%

Sequences1.4%

Statistical Distributions6.2%

Continuous Models4.8%

Discrete Models1.5%

Exponentials & Logarithms6.0%

Logarithms3.7%

Exponential Functions1.4%

Growth & Decay Modelling0.8%

Coordinate Geometry4.5%

Circles2.4%

Parametric Curves1.5%

Straight Lines0.6%

Numerical Methods4.4%

Roots of Equations3.3%

Numerical Integration1.0%

Forces & Newton’s Laws3.6%

Resolving & Dynamics in a Plane2.9%

Friction0.8%

Moments3.6%

Moments & Equilibrium of Rigid Bodies3.6%

Data Presentation & Interpretation3.3%

Univariate Data2.5%

Bivariate Data0.8%

Probability2.8%

Foundations & Conditionality2.8%

Vectors2.4%

Fundamentals2.4%

Proof2.1%

Methods of Proof2.1%

Statistical Hypothesis Testing2.0%

Binomial Proportion Test1.0%

Correlation Testing0.6%

Normal Mean Test (σ known/assumed)0.3%

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A-Level Physics (AQA)702 questions analysed · 1,168 total marks

Fields and Their Consequences (A-level only)26.5%

Electric Fields & Capacitance11.6%

Gravitational Fields7.4%

Magnetic Fields & Electromagnetic Induction7.4%

Mechanics12.8%

Motion & Forces7.1%

Energy, Work & Momentum3.9%

Equilibrium & Moments1.9%

Nuclear Physics (A-level only)12.5%

Radioactivity & Nuclear Change6.3%

Nuclear Structure, Energy & Applications6.2%

Particles and Radiation11.6%

Quantum Phenomena5.1%

Particle Physics Foundations4.8%

Quarks, Leptons & Interactions1.8%

Waves10.6%

Refraction & Optics4.4%

Interference & Diffraction3.6%

Wave Behaviour & Superposition2.6%

Electricity9.4%

Circuit Laws & Analysis3.9%

EMF, Internal Resistance & Power2.6%

Components & I–V Characteristics1.8%

Charge, Current & Potential Difference0.8%

Resistance & Resistivity0.3%

Thermal Physics (A-level only)9.2%

Kinetic Theory & Ideal Gases6.4%

Thermal Properties & Phase2.8%

Further Mechanics (A-level only)5.4%

Circular Motion3.1%

Simple Harmonic Motion2.3%

Materials1.6%

Deformation & Elasticity1.4%

Mechanical Properties0.3%

Measurements and Their Errors0.3%

Units & Measurement0.3%

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IB Physics (Higher Level)631 questions analysed · 1,088 total marks

A — Space, Time and Motion26.0%

A.5 Galilean and Special Relativity (HL only)7.8%

A.2 Forces and Momentum7.6%

A.4 Rigid Body Mechanics (HL only)4.0%

A.1 Kinematics3.7%

A.3 Work, Energy and Power2.9%

C — Wave Behaviour22.1%

C.3 Wave Phenomena14.2%

C.4 Standing Waves and Resonance3.5%

C.5 Doppler Effect2.3%

C.1 Simple Harmonic Motion1.0%

C.2 Wave Model1.0%

E — Nuclear and Quantum Physics21.9%

E.5 Fusion and Stars9.1%

E.3 Radioactive Decay7.5%

E.1 Structure of the Atom3.0%

E.2 Quantum Physics (HL only)2.0%

E.4 Fission0.2%

B — The Particulate Nature of Matter16.1%

B.5 Current and Circuits6.7%

B.4 Thermodynamics (HL only)3.4%

B.3 Gas Laws3.0%

B.1 Thermal Energy Transfers2.2%

B.2 Greenhouse Effect0.7%

D — Fields14.0%

D.1 Gravitational Fields6.5%

D.2 Electric and Magnetic Fields4.0%

D.4 Induction (HL only)2.5%

D.3 Motion in Electromagnetic Fields0.9%

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IB Physics (Standard Level)641 questions analysed · 998 total marks

A — Space, Time and Motion31.2%

A.2 Forces and Momentum14.1%

A.1 Kinematics12.6%

A.3 Work, Energy and Power4.4%

B — The Particulate Nature of Matter24.6%

B.3 Gas Laws10.0%

B.5 Current and Circuits9.6%

B.1 Thermal Energy Transfers4.2%

B.2 Greenhouse Effect0.7%

C — Wave Behaviour21.0%

C.3 Wave Phenomena12.3%

C.4 Standing Waves and Resonance3.5%

C.5 Doppler Effect2.1%

C.1 Simple Harmonic Motion1.9%

C.2 Wave Model1.2%

E — Nuclear and Quantum Physics15.8%

E.3 Radioactive Decay7.2%

E.5 Fusion and Stars6.4%

E.1 Structure of the Atom1.9%

E.4 Fission0.3%

D — Fields7.4%

D.2 Electric and Magnetic Fields3.7%

D.3 Motion in Electromagnetic Fields2.9%

D.1 Gravitational Fields0.8%

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GCSE Maths (AQA)715 questions analysed · 1,668 total marks

Algebra29.9%

Equations & Inequalities9.2%

Graphs & Coordinate Geometry7.5%

Notation & Manipulation5.1%

Formulae & Substitution4.9%

Sequences3.1%

Geometry & Measures25.2%

Perimeter, Area & Volume8.6%

Pythagoras & Trigonometry6.4%

Transformations & Vectors3.4%

Circles & Theorems2.9%

Properties, Angles & Constructions2.6%

Congruence & Similarity1.3%

Number17.5%

Fractions, Decimals & Percentages6.3%

Number Structure & Calculation5.5%

Powers, Roots & Standard Form4.0%

Accuracy & Bounds1.7%

Ratio, Proportion & Rates of Change11.9%

Ratio & Scale5.1%

Compound Measures & Gradients4.9%

Percentages & Proportion2.0%

Probability8.0%

Combined & Conditional Events3.2%

Foundations & Representation2.8%

Experimental Probability2.0%

Statistics7.2%

Representation & Summary6.6%

Bivariate Data0.4%

Data Collection & Sampling0.3%

Other0.3%

Vectors0.2%

Ratio & Proportion0.1%

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GCSE Maths (Edexcel)551 questions analysed · 1,438 total marks

Algebra26.2%

Equations, formulae and inequalities4.7%

Graphs of linear and quadratic functions4.7%

Simultaneous equations and algebraic fractions (Higher)4.7%

Quadratics and algebraic techniques (Higher emphasis)4.1%

Further graphs and functions (Higher)3.5%

Sequences2.6%

Algebraic expressions and manipulation1.7%

Geometry and Measures25.5%

Further trigonometry and vectors (Higher)5.0%

Volume, surface area and units4.4%

Properties of 2D shapes and angle facts3.9%

Pythagoras and basic trigonometry3.7%

Perimeter, area and circles3.2%

Transformations and coordinates2.7%

Congruence, similarity and scale drawings2.1%

Constructions and loci0.6%

Number16.4%

Fractions, decimals and percentages4.9%

Powers, roots and indices3.3%

Standard form and surds (Higher)3.1%

Approximation and estimation2.7%

Factors, multiples and primes1.7%

Number operations and structure0.6%

Ratio, Proportion and Rates of Change15.5%

Rates of change and compound measures5.7%

Ratio and scaling4.9%

Direct and inverse proportion (Higher depth)2.7%

Proportion and percentages in context2.2%

Probability9.0%

Tree diagrams and independence3.5%

Single events and basic probability2.0%

Venn diagrams and set notation2.0%

Combined events and sample spaces1.4%

Statistics7.4%

Summary statistics and comparison4.4%

Representing data2.2%

Scatter graphs and bivariate data0.7%

Statistical enquiries and data collection0.2%

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GCSE Physics (AQA Triple Science)609 questions analysed · 1,433 total marks

Forces20.9%

Forces and Motion12.8%

Forces and Elasticity2.9%

Moments, Levers and Gears2.5%

Pressure and Pressure Differences in Fluids1.3%

Forces and Their Interactions0.8%

Momentum0.6%

Electricity20.3%

Energy Transfers8.4%

Current, Potential Difference and Resistance7.9%

Static Electricity2.4%

Domestic Uses and Safety1.5%

Waves15.7%

Waves in Air, Fluids and Solids10.3%

Electromagnetic Waves5.4%

Energy12.6%

Energy Changes in a System11.3%

National and Global Energy Resources1.3%

Magnetism and Electromagnetism8.4%

The Motor Effect4.3%

Induced Potential, Transformers and the National Grid4.2%

Atomic Structure8.2%

Atoms and Nuclear Radiation5.0%

Hazards and Uses of Radioactivity1.3%

Nuclear Fission and Fusion1.2%

Atoms and Isotopes0.7%

Particle Model of Matter8.1%

Particle Model and Pressure3.1%

Internal Energy and Energy Transfers2.6%

Changes of State and the Particle Model2.3%

Space Physics5.7%

Solar System, Orbital Stability and Satellites4.3%

Red-Shift and the Big Bang1.5%

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GCSE Physics (AQA Combined Science)399 questions analysed · 980 total marks

Forces28.9%

Forces and Motion21.2%

Forces and Elasticity5.6%

Forces and Their Interactions2.0%

Electricity16.2%

Current, Potential Difference and Resistance7.5%

Energy Transfers5.8%

Series and Parallel Circuits1.9%

Domestic Uses and Safety0.9%

Energy13.5%

Energy Changes in a System11.5%

Conservation and Dissipation of Energy1.1%

National and Global Energy Resources0.8%

Waves12.2%

Electromagnetic Waves6.3%

Waves in Air, Fluids and Solids5.8%

Atomic Structure10.9%

Atoms and Nuclear Radiation9.0%

Atoms and Isotopes1.9%

Particle Model of Matter10.5%

Internal Energy and Energy Transfers4.3%

Changes of State and the Particle Model4.0%

Particle Model and Pressure2.2%

Magnetism and Electromagnetism7.9%

The Motor Effect6.0%

Permanent and Induced Magnetism, Magnetic Forces and Fields1.8%

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TMUA (Test of Mathematics for University Admission)320 questions analysed · 320 total marks

Algebra & Functions14.4%

Quadratics5.9%

Equations & Inequalities4.1%

Manipulating Expressions2.2%

Functions1.2%

Indices & Surds0.9%

Sequences & Series12.5%

Series6.2%

Binomial Expansion3.4%

Sequences2.8%

Logic of Arguments (Paper 2)10.9%

Reasoning Terms8.8%

Logical Connectives2.2%

Trigonometry10.6%

Trig Equations5.0%

Right-Angled & Triangle Trig2.5%

Trig Functions & Identities2.5%

Radians & Exact Values0.6%

Coordinate Geometry6.6%

Circles4.1%

Straight Lines2.5%

Mathematical Proof (Paper 2)5.9%

Proof Methods4.4%

Constructing Arguments1.6%

Errors in Proofs (Paper 2)5.0%

Spotting Flawed Reasoning5.0%

Graphs & Transformations5.0%

Sketching Graphs2.8%

Transformations2.2%

Exponentials & Logarithms5.0%

Logarithms4.1%

Exponentials0.9%

Geometry & Measures2.8%

Angles & Polygons1.2%

Congruence & Similarity0.6%

Mensuration & 3D Shapes0.3%

Pythagoras & Coordinates0.3%

Transformations & Vectors0.3%

Integration2.8%

Integrating2.8%

Differentiation2.5%

Derivatives2.5%

Probability0.9%

Combined Events0.9%

Statistics0.6%

Summary Statistics0.6%

Number0.6%

Powers, Roots & Standard Form0.3%

Surds & Exact Calculation0.3%

Ratio & Proportion0.3%

Ratio0.3%

Other13.4%

Applications13.4%

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