Are you writing Further Mathematics in your NECO (SSCE or GCE) exam this year? The NECO Further Mathematics syllabus helps you know where all your NECO Further Mathematics questions will be asked from.
You will see the NECO Further Mathematics exam structure, full list of syllabus topics, areas of concentration and study tips on Further Mathematics in NECO exam this year.
ALSO SEE: HOW TO PASS NECO CHEMISTRY EXAM
Let’s begin…
NECO Further Mathematics Exam Structure
The exam is divided into two papers:
Paper 1: Objective Questions
- 40 multiple-choice objective questions
- Covers the entire syllabus
- 1 hour
- Total of 40 marks
The questions will be drawn from the sections of the syllabus as follows:
- Pure Mathematics: 30
- Statistics and probability: 4
- Vectors and Mechanics: 6
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
- Statistics and Probability: 2
- Vector and Mechanics: 2
Section B – will consist of seven questions of greater length and difficulty put into three parts:
- Pure Mathematics: 3
- Statistics and Probability: 2
- Vectors and Mechanics: 2
See NECO Further Mathematics Syllabus
Here are the Further Mathematics topics and areas of concentration under each topic which you must study according to the official NECO syllabus.
1. Sets
- Idea of a set defined by a property, Set notations and their meanings
- Disjoint sets, Universal set and complement of set
- Venn diagrams, Use of sets And Venn diagrams to solve problems.
- Commutative and Associative laws, Distributive properties over union and intersection
2. 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.
3. Binary Operations
- Properties: Closure, Commutativity, Associativity and Distributivity, Identity elements and inverses.
4. Logical Reasoning
- Rule of syntax: true or false statements, rule of logic applied to arguments, implications and deductions
- The truth table
5. Functions
- Domain and co-domain of a function
- One-to-one, onto, identity and constant mapping
- Inverse of a function
- Composite of functions
6. Polynomial Functions
- Linear Functions, Equations and Inequality
- Quadratic Functions, Equations and Inequalities
- Cubic Functions and Equations
7. Rational Functions
- Resolution of rational functions into partial fractions
8. Indices and Logarithmic Functions
- Indices
- logarithms
9. Permutation And Combinations
- Simple cases of arrangements
- Simple cases of selection of objects
10. 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
11. 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
12. Matrices and Linear Transformation
- Matrices
- Determinants
- Inverse of 2 x 2 Matrices
- Linear Transformation
13. Trigonometry
- Trigonometric Ratios and Rules
- Compound and Multiple Angles
- Trigonometric Functions and Equations
14. Co-ordinate Geometry
- Straight lines
- Conic sections
15. 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 (∆x), Concept of Maxima and Minima
16. Integration
- Indefinite Integral
- Definite Integral
- Applications of the Definite Integral
17. Statistics
- Tabulation and Graphical representation of data
- Measures of location
- Measures of Dispersion
- Correlation
18. Probability
- Meaning of probability
- Relative frequency
- Calculation of Probability using simple sample spaces
- Addition and multiplication of probabilities
- Probability distributions
19. 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
20. 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 forces
- Friction
21. Dynamics
- The concepts of motion
- Equations of Motion
- The impulse and momentum equations
- Projectiles
Smart Study Tips for NECO Further Mathematics
- Understand the syllabus structure and mark distribution (Papers 1 & 2).
- Prioritize core areas: Pure Maths, Statistics & Probability, Vectors & Mechanics.
- Practice multiple-choice questions for speed and accuracy (Paper 1).
- Master compulsory questions from Section A (Paper 2).
- Revise advanced problems for Section B (Paper 2).
- Work through past NECO questions to know exam patterns.
- Create a study timetable to cover all 21 syllabus topics systematically.
- Focus on understanding concepts, not just memorizing formulas.
- Use group study or tutorials to discuss tough topics.
- Take mock tests to build confidence and manage exam time.
FAQs
Q: Is the NECO Further Mathematics syllabus the same as WAEC?
A: They are similar but not the same. Always use the NECO version when preparing for NECO exams.
Q: Where can I download the syllabus PDF?
A: You can get it from syllabus.ng or ask your school to print a copy.
Summary on the NECO Further Mathematics Syllabus
Further Mathematics is a bonus subject if you follow the NECO Further Mathematics syllabus and prepare smartly. Use this post as your study guide, cover every topic, and tackle past questions consistently.
Good luck with your preparation!
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