Home » NECO Syllabus » This NECO Further Mathematics syllabus is a guide that will give you directions and instructions about your upcoming exams. It is a must-have for all who are preparing for the NECO Further Mathematics exam.
The syllabus aims to test your:
i. Understanding of Elementary and Higher Mathematics;
ii. Knowledge of aspects of Mathematics that can meet the needs of potential Mathematicians, Engineers, Scientists and other professionals.
iii. Ability to analyze data and draw valid conclusions from logical, abstract and precise reasoning skills.
With this syllabus, you are sure to meet the expectations of this exam and come out of the hall smiling. So download, study and share with your friends.
There will be two papers, Papers 1 and 2, both of which must be taken.
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.
| 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 |
1. Odili et al Further Mathematics.
2. T.R Moses Spectrum New Further Mathematics.
3. Hardwood Ordinary Level Mathematics.
The syllabus covers topics like calculus, matrices, complex numbers, probability, and statistics.
The exam can be challenging, but with thorough preparation and practice, you can do well.
Use the recommended textbooks above, and past question papers, to prepare
Yes, practice regularly, understand the basic concepts, and familiarize yourself with different problem-solving techniques.
Practice past questions, and review your mistakes to learn from them.
Common mistakes include not reading instructions, misreading questions, calculation errors, and not showing all your workings.
Practice time management by timing yourself during practice tests and allocating time to each question during the exam.
