The NECO Syllabus For Further Mathematics is more than just a list of topics. It is a structured guide that helps you focus on important topics for your NECO exam. It outlines all the key areas NECO expects candidates to understand. These include Pure Mathematics, Algebra, Trigonometry, and Calculus. By using the syllabus, you avoid wasting time on topics that may not come out. Instead, you focus on the subjects that are most likely to appear in the exam.
In this article, we will show you how to use the NECO Syllabus For Further Mathematics effectively. You will get a full breakdown of all the topics, recommended textbooks, and study tips to boost your scores.
NECO Syllabus For Further Mathematics
| FURTHER MATHEMATICS | |
| TOPICS | OBJECTIVES |
| Sets | 1.1 Idea of a set defined by a property, Set notations and their meanings 1.2 Disjoint sets, Universal set and complement of set 1.3 Venn diagrams, Use of sets And Venn diagrams to solve problems. 1.4 Commutative and Associative laws, Distributive properties over union and intersection |
| Surds | Surds of the form √ , a√ and a+b√ where a is rational, b is a positive integer and n is not a perfect square. |
| Binary Operations | Properties: Closure, Commutativity, Associativity and Distributivity, Identity elements and inverses. |
| Logical Reasoning | 4.1 Rule of syntax: true or false statements, rule of logic applied to arguments, implications and deductions 4.2 The truth table |
| Functions | 5.1 Domain and co-domain of a function 5.2 One-to-one, onto, identity and constant mapping 5.3 Inverse of a function 5.4 Composite of functions |
| Polynomial Functions | 6.1 Linear Functions, Equations and Inequality 6.2 Quadratic Functions, Equations and Inequalities 6.3 Cubic Functions and Equations |
| Rational Functions | 7.1 Rational functions of the form Q(x) = () !() ,g(x) ≠ 0. where g(x) and f(x) are polynomials 7.2 Resolution of rational functions into partial fractions |
| Indices and Logarithmic Functions | 8.1 Indices 8.2 Logarithms |
| Permutation And Combinations | 9.1 Simple cases of arrangements 9.2 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. e.g (0.998)1/3 |
| Sequences and Series | 11.1 Finite and Infinite sequences 11.2 Linear sequence/Arithmetic Progression (A.P.) and Exponential sequence/Geometric Progression (G.P.) 11.3 Finite and Infinite series 11.4 Linear series (sum of A.P.) and exponential series (sum of G.P.) 11.5 Recurrence Series |
| Matrices and Linear Transformation | 12.1 Matrices 12.2 Determinants 12.3 Inverse of 2 x 2 Matrices 12.4 Linear Transformation |
| Trigonometry | 13.1 Trigonometric Ratios and Rules 13.2 Compound and Multiple Angles 13.3 Trigonometric Functions and Equations |
| Co-ordinate Geometry | 14.1 Straight Lines 14.2 Conic Sections |
| Differentiation | 15.1 The idea of a limit 15.2 The derivative of a function 15.3 Differentiation of polynomials 15.4 Differentiation of trigonometric Functions 15.4 Product and quotient rules. Differentiation of implicit functions such as ax2 + by2 = c 15.5 Differentiation of Transcendental Functions 15.6 Second order derivatives and Rates of change and small changes (∆x), Concept of Maxima and Minima |
| Integration | 16.1 Indefinite Integral 16.2 Definite Integral 16.3 Applications of the Definite Integral |
| Statistics | 17.1 Tabulation and Graphical representation of data 17.2 Measures of location 17.3 Measures of Dispersion 17.4 Correlation |
| Probability | 18.1 Meaning of probability 18.2 Relative frequency 18.3 Calculation of Probability using simple sample spaces 18.4 Addition and multiplication of probabilities 18.5 Probability distributions |
| Vectors | 19.1 Definitions of scalar and vector Quantities 19.2 Representation of Vectors 19.3 Algebra of Vectors. 19.4 Commutative, Associative and Distributive Properties. 19.5 Unit vectors. 19.6 Position Vectors. 19.7 Resolution and Composition of Vectors 19.8 Scalar (dot) product and its application 19.9 Vector (cross) product and its application |
| Statics | 20.1 Definition of a force 20.2 Representation of forces 20.3 Composition and resolution of coplanar forces acting at a point 20.4 Composition and resolution of general coplanar forces on rigid bodies 20.5 Equilibrium of Bodies 20.6 Determination of Resultant 20.7 Moments of forces 20.8 Friction |
| Dynamics | 21.1 The concepts of motion 21.2 Equations of Motion 21.3 The impulse and momentum equations 21.4 Projectiles |
Studying with the NECO Syllabus For Further Mathematics is important because it provides a clear structure of the topics to focus on, exam format, and what is expected from students.
The NECO Syllabus For Further Mathematics is also aligned with WAEC standards, making it useful for students preparing for both exams. This makes it a reliable reference for mastering key topics and understanding how to approach the exam confidently.
NECO Recommended Textbooks for Further Mathematics
- Spectrum New Further Mathematics (Scholastic Series) by T. R. Moses
- New Further Mathematics Project (Volumes 1–3) by M. R. Tuttuh-Adegun et al. (Bounty Press Ltd)
- Further Mathematics (NERDC) by U. M. O. Ivowi et al. (Longman Publishers)
- WAEC & NECO Further Mathematics Past Questions & Answers
Tips for Success in NECO Further Mathematics 2025
Further Mathematics can seem challenging at first, but with the right approach and consistent study habits, you can succeed. Below are practical reading and preparation tips to help you score high in the NECO Further Maths exam:
1. Start With the NECO Syllabus For Further Mathematics
Begin by reading through the NECO Syllabus For Further Mathematics. It outlines exactly what you need to study and gives you a clear picture of what to expect in the exam.
2. Focus on Understanding Formulas, Not Cramming
Further Mathematics is not a subject you can memorize and pass. It requires deep understanding and continuous practice of Formulas. Break your study into small, manageable parts and go over each topic carefully.
3. Practice With Past Questions
Solve past NECO questions without checking the answers first. This helps you get used to the exam format, improve your speed, and build confidence.
4. Solve Problems Actively
Don’t just read worked examples, try solving them yourself. Even if you make mistakes at first, keep practicing until you understand the Formula.
5. Create a Personal Study Timetable
Plan your reading schedule and include specific time blocks for Further Mathematics. Consistent practice is the key to mastering the subject.
6. Study With Friends
Group study can help speed up learning. Teach each other, solve questions together, and encourage one another.
7. Tackle Difficult Topics Early
Identify topics you struggle with and spend extra time on them. Use online tutorials, textbooks, Tiktok or YouTube videos to gain a better understanding.
More NECO Updates
Make sure you use the recommended textbooks and NECO past questions to prepare for your examination; they will help you understand the exam format and question style.
Preparing with the NECO Syllabus For Further Mathematics gives you a structured guide to all the topics you need to study, outlines the exam format, and helps you use your study time effectively. Since the syllabus aligns with WAEC standards, it remains relevant for most Nigerian students. Make it a habit to solve the maths problems regularly to boost both your speed and help you remember the formulas.
Reading through past NECO/WAEC questions is one of the best ways to understand the question patterns. If any topic confuses you, don’t hesitate to ask your teacher or join a study group. Bookmark our website for updates and drop your questions in the comment section we’re always here to assist.