Pearson Edexcel · International A LevelYMA01 International A Level Mathematics
11 components62 topics62 with lessons
Unit-based: Pure P1–P4 are compulsory for the full IAL, combined with applied units (Mechanics, Statistics, Decision) in permitted combinations.
Source: Pearson Edexcel YMA01 specification · Confirm the syllabus year with your school.
Exam infoExam structure, syllabus and formula booklet1 official documents
2018 specification (first exams 2019)
| Paper | Time | Marks | Weighting |
|---|
| Every unit (P1–P4, M1–M3, S1–S3, D1) | 1 h 30 min | 75 | ⅓ of IAS · ⅙ of IAL |
- IAS Mathematics: P1, P2 and one of M1, S1 or D1.
- IAL Mathematics: P1–P4 plus M1+S1, M1+D1, M1+M2, S1+D1 or S1+S2.
- Units are exams you can take in different series; most are offered in January, June and October.
- A calculator is allowed, and the formulae booklet is provided in every unit exam.
Summarised from the official specification, checked 16 Oct 2026. The board's document is the final word.
PDFIssue 3 (April 2019)
International AS/A Level Mathematics, Further Mathematics and Pure Mathematics — specification
One specification covers all three qualifications. Every unit is a 1 h 30 min, 75-mark exam. IAL Mathematics is P1–P4 plus an applied pair: M1+S1, M1+D1, M1+M2, S1+D1 or S1+S2. A unit can count towards only one qualification. Most units are offered in January, June and October.
All Edexcel documents: exam rules, key dates and grade thresholds →
WMA11Pure Mathematics 15 topics
- Algebra and functions
Quadratic functions, discriminant and completing the square
Indices and surds · Quadratics, simultaneous equations and inequalities · Curve sketching and transformations3 lessons - Coordinate geometry in the (x, y) plane
Gradient, length, midpoint and equations of lines · Parallel and perpendicular lines2 lessons - Trigonometry
Exact values and the unit circle · Sine rule, cosine rule and area · Radians · Graphs and transformations · Arc length and sector area · Radians, arcs and sectors · Graphs of sine, cosine and tangent · Segments, chords and composite shapes8 lessons - Differentiation
Differentiating powers of x · Gradients and the power rule · Gradients, rates of change and second derivatives · Tangents and normals4 lessons - Integration
Integrating powers of x · Indefinite integration · Finding a curve from its gradient3 lessons
WMA12Pure Mathematics 28 topics
- Proof
Deduction, exhaustion and counterexample1 lessons - Algebra and functions
Polynomials: division, factor and remainder theorems1 lessons - Coordinate geometry in the (x, y) plane
The equation of a circle · Tangents, chords and intersections2 lessons - Sequences and series
Binomial expansion · Arithmetic progressions · Geometric progressions · Sum to infinity4 lessons - Exponentials and logarithms
Laws of logarithms · Exponential equations and inequalities · Logarithmic equations3 lessons - Trigonometry
Trigonometric identities · Solving trigonometric equations2 lessons - Differentiation
Stationary points and increasing functions · Optimisation and rates of change2 lessons - Integration
Definite integrals · The trapezium rule · Areas under and between curves3 lessons
WMA13Pure Mathematics 36 topics
- Algebra and functions
Modulus graphs and equations · Functions, domain and range · Composite functions · Modulus inequalities · One-one and inverse functions · Graphs of a function and its inverse · Transformations of graphs7 lessons - Trigonometry
Reciprocal functions and their identities · Compound-angle formulae · Double-angle formulae · Inverse trigonometric functions · The R-form (harmonic form)5 lessons - Exponentials and logarithms
The functions eˣ and ln x · Exponential models and linear forms2 lessons - Differentiation
Derivatives of eˣ, ln x and trigonometric functions · The chain rule · The product and quotient rules · Stationary points and tangents4 lessons - Integration
Integrating eˣ, 1/x and trigonometric functions · Integrating (ax + b)ⁿ · Integration using trigonometric identities · Exact definite integrals and logarithms4 lessons - Numerical methods
Locating roots: sketches and sign changes · Fixed-point iteration · Rearrangements, staircases and cobwebs3 lessons
WMA14Pure Mathematics 47 topics
- Proof
Proof by contradiction1 lessons - Algebra and functions
Partial fractions1 lessons - Coordinate geometry in the (x, y) plane
Parametric equations1 lessons - Binomial expansion
Binomial expansion for any rational n1 lessons - Differentiation
Implicit differentiation · Parametric differentiation2 lessons - Integration
Integration by substitution · Volumes of revolution · Integration by parts · Forming differential equations · Separating the variables · Particular solutions with harder integrals · Modelling with differential equations7 lessons - Vectors
Position vectors, magnitude and unit vectors · The scalar product and angles · The vector equation of a line · Intersecting, parallel and skew lines · Foot of the perpendicular and shortest distances5 lessons
WME01Mechanics 16 topics
- Mathematical models in mechanics
Modelling assumptions and their meaning · Quantities, units and evaluating models2 lessons - Vectors in mechanics
Magnitude, direction and resultant forces · Position, velocity and acceleration vectors2 lessons - Kinematics of a particle in a straight line
Constant acceleration formulae (suvat) · Vertical motion under gravity · Displacement–time and velocity–time graphs3 lessons - Dynamics of a particle in a straight line
Newton's laws and F = ma · Friction and inclined planes · Connected particles and pulleys · Momentum and impulse4 lessons - Statics of a particle
Resolving forces and equilibrium · Friction and limiting equilibrium2 lessons - Moments
Moments and beams on supports · Tilting and non-uniform rods2 lessons
WME02Mechanics 25 topics
- Kinematics
Variable acceleration1 lessons - Centres of mass
Centres of mass of laminas1 lessons - Work and energy
Work done · Kinetic and potential energy · The work–energy principle · Power4 lessons - Collisions
Momentum and its conservation · Directions, rebounds and several collisions · Coalescing and loss of kinetic energy3 lessons - Statics of rigid bodies
Moments and beams on supports · Tilting and non-uniform rods2 lessons
WME03Mechanics 35 topics
- Further kinematics
Kinematics with calculus and vectors1 lessons - Elastic strings and springs
Hooke's law and elastic energy1 lessons - Further dynamics
Variable forces and differential equations1 lessons - Motion in a circle
Kinematics of circular motion · Centripetal acceleration and force2 lessons - Statics of rigid bodies
Rigid bodies in equilibrium1 lessons
WST01Statistics 16 topics
- Mathematical models in probability and statistics
Statistical models and the modelling cycle1 lessons - Representation and summary of data
Stem-and-leaf diagrams and box plots · Histograms and cumulative frequency · Mean and standard deviation · Coded and combined data4 lessons - Probability
Combined events and Venn diagrams · Tree diagrams and conditional probability · Independent and mutually exclusive events3 lessons - Correlation and regression
Summary statistics and the PMCC · The least squares regression line2 lessons - Discrete random variables
Probability distributions and the CDF · Expectation, variance and the discrete uniform distribution2 lessons - The normal distribution
Standardising and normal probabilities · Inverse normal and finding μ and σ · Normal approximation to the binomial3 lessons
WST02Statistics 24 topics
- The binomial and Poisson distributions
Poisson probabilities · Scaling rates and sums · Poisson and normal approximations3 lessons - Continuous random variables
Probability density functions · Mean and variance · Median and percentiles3 lessons - Continuous distributions
The continuous uniform distribution · Normal approximations to the binomial and Poisson2 lessons - Hypothesis tests
Binomial and Poisson tests · Type I and Type II errors2 lessons
WST03Statistics 35 topics
- Combinations of random variables
E and Var of aX + b and aX + bY · Sums of observations and multiples · Combining normal and Poisson variables3 lessons - Sampling
Sampling and unbiased estimates · The sample mean and the Central Limit Theorem2 lessons - Estimation, confidence intervals and tests
Tests for a population mean · Confidence intervals2 lessons - Goodness of fit and contingency tables
Goodness of fit and contingency tables1 lessons - Regression and correlation
Summary statistics and the PMCC · The least squares regression line2 lessons
WDM11Decision Mathematics 15 topics
- Algorithms
Sorting, searching and bin packing1 lessons - Algorithms on graphs
Kruskal's and Prim's algorithms · Dijkstra's and Floyd's algorithms2 lessons - The route inspection problem
Route inspection and TSP1 lessons - Critical path analysis
Activity networks and critical paths1 lessons - Linear programming
Formulating and solving linear programmes1 lessons