WAEC Syllabus for Further Mathematics

The West African Examinations Council (WAEC) has released the official Further Mathematics syllabus for the 2026/2027 West African Senior School Certificate Examination (WASSCE). The syllabus is for both school candidates and private candidates preparing to sit for the examination. It outlines the topics candidates are expected to study, the aims and objectives of the subject, as well as the examination structure and marking scheme.

Candidates are advised to study the syllabus carefully before beginning their preparation, as it serves as a guide to the areas from which examination questions will be set. Having a good understanding of the syllabus will help you plan your studies effectively and improve your chances of performing well in the examination.

In this article, you will find the complete WAEC Further Mathematics syllabus for the 2026/2027 examination, including the aims and objectives, scheme of examination, detailed topics to study, and other important information to help you prepare successfully.

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Detailed Further Mathematics Syllabus

Pure Mathematics

Sets

Idea of a set defined by a property, Set notations and their meanings.
Disjoint sets, Universal sets and complement of a set.
Venn diagrams, Use of sets and Venn diagrams to solve problems.
Commutative and Associative laws, Distributive properties over union and intersection.

Surds

Surds of the form √a and a + b√n, where a is rational, b is a positive integer, and n is not a perfect square.

Binary Operations

Closure, Commutativity, Associativity and Distributivity.
Identity elements and inverses.

Logical Reasoning

Rule of syntax: true or false statements.
Rule of logic applied to arguments, implications and deductions.
The truth table.

Functions

Domain and co-domain of a function.
One-to-one, onto, identity and constant mapping.
Inverse of a function.
Composite of functions.

Polynomial Functions

Linear Functions, Equations and Inequality.
Quadratic Functions, Equations and Inequalities.
Cubic Functions and Equations.

Rational Functions

Rational functions of the form Q(x) = g(x)/f(x), where g(x) and f(x) are polynomials.
Resolution of rational functions into partial fractions.

Indices and Logarithmic Functions

Indices.
Logarithms.

Permutation and Combinations

Simple cases of arrangements.
Simple cases of selection of objects.

Binomial Theorem

Expansion of (a + b)ⁿ.
Use of (1 + x)ⁿ ≈ 1 + nx for any rational n, where x is sufficiently small.

Sequences and Series

Finite and Infinite sequences.
Linear sequence/Arithmetic Progression (A.P.) and Exponential sequence/Geometric Progression (G.P.).
Finite and Infinite series.
Linear series (sum of A.P.) and exponential series (sum of G.P.).
Recurrence Series.

Matrices and Linear Transformation

Matrices.
Determinants.
Inverse of 2 × 2 Matrices.
Linear Transformation.

Trigonometry

Trigonometric Ratios and Rules.
Compound and Multiple Angles.
Trigonometric Functions and Equations.

Coordinate Geometry

Straight Lines.
Conic Sections.

Differentiation

The idea of a limit.
The derivative of a function.
Differentiation of polynomials.
Differentiation of Trigonometric Functions.
Product and quotient rules.
Differentiation of implicit functions such as ax² + by² = c.
Differentiation of Transcendental Functions.
Second-order derivatives and rates of change and small changes.
Concept of Maxima and Minima.

Integration

Indefinite Integral.
Definite Integral.
Applications of the Definite Integral.

Statistics and Probability

Statistics

Tabulation and Graphical Representation of Data.
Measures of Location.
Measures of Dispersion.
Correlation.

Probability

Meaning of Probability.
Relative Frequency.
Calculation of Probability using simple sample spaces.
Addition and multiplication of probabilities.
Probability distributions.

Vectors and Mechanics

Vectors

Definitions of scalar and vector quantities.
Representation of vectors.
Algebra of vectors.
Commutative, Associative and Distributive Properties.
Unit vectors.
Position vectors.
Resolution and Composition of Vectors.
Scalar (dot) product and its application.
Vector (cross) product and its application.

Statics

Definition of a force.
Representation of forces.
Composition and resolution of coplanar forces acting at a point.
Composition and resolution of general coplanar forces on rigid bodies.
Equilibrium of Bodies.
Determination of Resultant.
Moments of force.
Friction.

Dynamics

The concepts of motion.
Equations of Motion.
The impulse and momentum equations.
Projectiles.

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Tips for Passing WAEC Further Mathematics

Scoring high in WAEC Further Mathematics requires consistent practice and a good understanding of the topics in the syllabus. Here are some tips to help you prepare effectively:-

Study every topic in the WAEC Further Mathematics syllabus and avoid skipping difficult areas.
Practise solving different types of mathematical problems regularly to improve your speed and accuracy.
Use recommended textbooks and study materials that cover the entire syllabus.
Solve past WAEC Further Mathematics questions to become familiar with the examination pattern and question style.
Pay attention to formulas, mathematical rules, and calculations, and revise them frequently.
Manage your time wisely during the examination and attempt all questions you know how to solve.
Revise consistently before the examination to strengthen your understanding of important concepts.

If you found this article helpful, kindly share it with other WAEC candidates preparing for the Further Mathematics examination. If you have any questions about the WAEC Further Mathematics syllabus 2026/2027, feel free to ask in the comments section, and we will be happy to assist you.