Mathematics NECO Syllabus

Below is the 2026 NECO Mathematics Syllabus for both internal and external candidates.

Aims and Objectives

The syllabus is designed to enable candidates to:

• acquire computational and manipulative skills in mathematics.

• develop precise, logical and formal reasoning abilities.

• apply mathematical concepts to solve everyday problems.

• understand mathematical language, symbols and notation.

• develop analytical and critical thinking skills.

• appreciate the usefulness of mathematics in science, technology, commerce and everyday life.

• interpret and analyze numerical and graphical information.

• develop confidence and accuracy in mathematical calculations.

Scheme of Examination

There will be two papers, Paper I and Paper II, both of which must be taken.

Paper I

Will consist of sixty (60) multiple-choice objective questions covering all aspects of the syllabus.

Duration: 1 hour 30 minutes
Marks: 60

Paper II

Will consist of essay and structured questions.

Candidates will be required to answer a specified number of questions from different sections of the syllabus.

Duration: 2 hours 30 minutes
Marks: 100

Detailed Mathematics Syllabus

NUMBER AND NUMERATION

Number Bases

• Binary numbers

• Octal numbers

• Decimal numbers

• Conversion from one base to another

• Basic operations in different bases

Fractions, Decimals and Percentages

• Proper fractions

• Improper fractions

• Mixed fractions

• Decimal fractions

• Percentages

• Conversion among fractions, decimals and percentages

Approximation

• Significant figures

• Decimal places

• Standard form

• Estimation of results

Indices

• Laws of indices

• Simplification of expressions involving indices

• Negative indices

• Fractional indices

Logarithms

• Laws of logarithms

• Common logarithms

• Antilogarithms

• Applications of logarithms

Surds

• Simplification of surds

• Rationalization of denominators

• Operations involving surds

ALGEBRAIC PROCESSES

Algebraic Expressions

• Collection of like terms

• Expansion of brackets

• Factorization

• Simplification of algebraic fractions

Linear Equations

• Solution of simple equations

• Word problems involving equations

• Simultaneous equations

Quadratic Equations

• Factorization method

• Completing the square

• Formula method

• Graphical solutions

Variation

• Direct variation

• Inverse variation

• Joint variation

• Partial variation

Change of Subject of Formula

• Making a specified variable the subject

Sequences and Series

• Arithmetic Progression (A.P.)

• Geometric Progression (G.P.)

• Sum of series

• Applications

MENSURATION

Plane Figures

• Perimeter of plane shapes

• Area of triangles

• Area of rectangles

• Area of squares

• Area of parallelograms

• Area of trapeziums

• Area of circles

• Sectors and segments

Solid Figures

• Cubes

• Cuboids

• Cylinders

• Cones

• Spheres

• Prisms

• Pyramids

Surface Area and Volume

• Calculation of surface areas

• Calculation of volumes

GEOMETRY

Angles

• Types of angles

• Angles on a straight line

• Angles around a point

• Vertically opposite angles

• Alternate angles

• Corresponding angles

Triangles

• Types of triangles

• Congruence of triangles

• Similarity of triangles

• Properties of triangles

Polygons

• Interior angles

• Exterior angles

• Sum of angles

Circles

• Chords

• Arcs

• Tangents

• Circle theorems

Constructions

• Construction of angles

• Construction of triangles

• Bisectors

• Loci

Coordinate Geometry

• Cartesian plane

• Plotting points

• Gradient of a line

• Distance between points

• Midpoint of a line segment

TRIGONOMETRY

Trigonometric Ratios

• Sine

• Cosine

• Tangent

Trigonometric Tables

• Use of tables

• Interpolation

Angles of Elevation and Depression

• Practical applications

Bearings

• Three-figure bearings

• Problem solving

Sine Rule

• Applications

Cosine Rule

• Applications

Area of Triangle

• Using trigonometric ratios

STATISTICS

Data Collection

• Sources of data

• Methods of collection

Data Presentation

• Frequency tables

• Bar charts

• Pie charts

• Histograms

• Frequency polygons

Measures of Central Tendency

• Mean

• Median

• Mode

Measures of Dispersion

• Range

Interpretation of Data

• Graphical interpretation

• Statistical analysis

PROBABILITY

Basic Probability

• Experimental probability

• Theoretical probability

Probability of Events

• Simple events

• Mutually exclusive events

Applications of Probability

• Everyday situations

• Games and experiments

GRAPHS

Linear Graphs

• Plotting graphs

• Gradient

• Intercepts

Graphical Solutions

• Simultaneous equations

• Inequalities

Distance-Time Graphs

• Interpretation

• Speed calculations

Conversion Graphs

• Reading and interpretation

SETS

Concept of Sets

• Definition

• Types of sets

Set Operations

• Union

• Intersection

• Complement

Venn Diagrams

• Representation of sets

• Problem solving using Venn diagrams

COMMERCIAL MATHEMATICS

Profit and Loss

• Cost price

• Selling price

• Percentage profit

• Percentage loss

Discount

• Trade discount

• Percentage discount

Simple Interest

• Calculation of interest

• Applications

Compound Interest

• Calculation

• Applications

Hire Purchase

• Installment payments

Shares and Stocks

• Basic concepts

Taxes and Rates

• Calculations involving taxation

TRANSFORMATION GEOMETRY

Translation

• Translation of shapes

Reflection

• Reflection in axes and lines

Rotation

• Rotation about a point

Enlargement

• Scale factors

Similarity

LATITUDES AND LONGITUDES

Earth Coordinates

• Latitude

• Longitude

Time Calculations

• Local time

• Standard time

Distance Calculations

• Great circle concepts

• Applications

Key Areas Frequently Tested in NECO Mathematics

• Number Bases

• Indices and Logarithms

• Surds

• Algebraic Processes

• Simultaneous and Quadratic Equations

• Variation

• Mensuration

• Geometry and Circle Theorems

• Trigonometry

• Statistics

• Probability

• Graphs

• Sets

• Commercial Mathematics

• Transformation Geometry

• Latitude and Longitude

These topics form the core of the NECO Mathematics examination and usually account for the majority of both objective and theory questions. Students should focus on understanding formulas, practicing calculations, and solving past questions regularly.