NECO Further Mathematics Syllabus 2026/2027 & Textbooks

By Syllabus2026 February 11, 2026 Uncategorized 0 Comments

The NECO Further Mathematics Syllabus 2026 (SS1-SS3) focuses on advanced algebraic processes, calculus, vectors, mechanics, and statistics to prepare students for higher studies in science and engineering. Key topics include functions, polynomial equations, matrices, trigonometry, coordinate geometry, permutation/combination, differentiation, integration, and linear programming.

The NECO Further Mathematics syllabus aims to develop advanced conceptual and manipulative mathematical skills, serving as a bridge between elementary mathematics and higher education studies. It focuses on fostering logical, abstract, and precise reasoning, alongside the ability to analyze data and draw valid conclusions in areas like pure math, statistics, and mechanics.

Marking Scheme
PAPER 1:

This paper will consist of forty multiple-choice objective questions, covering the entire syllabus. Candidates will be required to answer all questions in 1 hour for 40 marks. The questions will be drawn from the sections of the syllabus as follows:

Pure Mathematics—30 questions
Statistics and probability—4 questions
Vectors and Mechanics—6 questions

PAPER 2:

This will consist of two sections, Sections A and B, to be answered in 2 hours 30 minutes for 100 marks.

Section A—This will consist of eight compulsory questions that are elementary in type for 48 marks. The questions shall be distributed as follows:

Pure Mathematics—4 questions
Statistics and Probability—2 questions
Vector and Mechanics—2 questions

Section B – will consist of seven questions of greater length and difficulty put into three parts:

I: Pure Mathematics – 3 questions
II: Statistics and Probability – 2 questions
III: Vectors and Mechanics – 2 questions

Candidates will be required to answer four questions, with at least one from each part for 52 marks.

NECO Further Mathematics Syllabus 2026/2027

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

NECO Further Mathematics Textbooks 2026/2027

1. Odili et al Further Mathematics.
2. T.R Moses Spectrum New Further Mathematics.
3. Hardwood Ordinary Level Mathematics.

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