Mathematics JAMB Syllabus 2027/2028 Download PDF

The JAMB Mathematics syllabus 2027/2028 shows the main topics you should study and the mathematical skills you should develop for the examination.

The syllabus covers five major areas: Number and Numeration, Algebra, Geometry and Trigonometry, Calculus, and Statistics.

In this guide, you will see the topics under each section and what you should be able to calculate, solve, interpret or apply. You will also find the JAMB Mathematics syllabus PDF download section, recommended texts, and simple guidance on how to use the syllabus during revision.

Mathematics requires regular practice, so use the syllabus to check the topics you have covered and identify the areas that still need more attention.

Download JAMB Mathematics Syllabus 2027/2028 PDF

You can keep the JAMB Mathematics syllabus PDF on your phone or computer and use it as a checklist while studying.

The PDF contains the main Mathematics topics and objectives you need to work through, including Number and Numeration, Algebra, Geometry and Trigonometry, Calculus, and Statistics.

Download the JAMB Mathematics Syllabus 2027/2028 PDF here:

Once the you download the syllabus, tap or click it to open the syllabus PDF and save a copy for your revision.

Use the PDF regularly to check the topics you have completed and the areas where you still need more practice.

JAMB Mathematics Syllabus Topics and Objectives

The JAMB Mathematics syllabus is divided into five main sections: Number and Numeration, Algebra, Geometry and Trigonometry, Calculus, and Statistics.

Each section contains topics you should study and objectives that show the calculations, interpretations and problem-solving skills you should develop.

Section I: Number and Numeration

Number and Numeration covers basic number operations, number bases, percentages, logarithms, surds and sets. You should understand the rules involved and know how to apply them when solving problems.

Number Bases

A number base is a system used to represent numbers. In this part of the syllabus, you should study number bases from base 2 to base 10.

You should be able to:

• perform addition, subtraction, multiplication and division in different number bases;
• convert numbers from one base to another;
• work with conversions that include fractional parts.

This means you should not only recognize different number bases. You should also be able to carry out calculations correctly within them.

Fractions, Decimals, Approximations and Percentages

This part covers several common mathematical operations and calculations.

You should study:

• fractions;
• decimals;
• significant figures;
• decimal places;
• percentage errors;
• simple interest;
• profit and loss percentage;
• ratio;
• proportion;
• rate;
• shares;
• Value Added Tax (VAT).

You should be able to perform the basic operations of addition, subtraction, multiplication and division with fractions and decimals.

You also need to know how to express answers to a specified number of significant figures or decimal places.

For percentage calculations, you should be able to solve problems involving simple interest, profit and loss, ratio, proportion, rate, shares and VAT.

Indices, Logarithms and Surds

This area requires you to understand the relationships between powers, logarithms and surds.

You should study:

• laws of indices;
• standard form;
• laws of logarithms;
• logarithm of a positive number to a given base;
• change of base in logarithms;
• relationship between indices and logarithms;
• surds.

You should be able to apply the laws of indices when solving calculations and understand how indices are related to logarithms.

You also need to solve logarithmic problems involving different bases.

For surds, you should know how to:

• simplify surds;
• rationalize surds;
• perform basic operations involving surds.

Sets

A set is a collection of clearly defined objects or elements.

You should study different types of sets, including:

• empty sets;
• universal sets;
• complements;
• subsets;
• finite sets;
• infinite sets;
• disjoint sets.

You also need to understand the algebra of sets and how to use set symbols correctly.

You should be able to solve problems involving the cardinality of sets, which means the number of elements in a set.

Another important area is the use of Venn diagrams. You should be able to solve problems involving up to three sets by representing the information correctly in a Venn diagram.

Section II: Algebra

Algebra deals with the use of symbols, expressions, equations and mathematical relationships. In this section, you should know how to manipulate algebraic expressions, solve equations, work with inequalities and interpret graphs.

Polynomials

A polynomial is an algebraic expression made up of terms involving numbers and variables raised to whole-number powers.

You should study:

• change of subject of formula;
• factor theorem;
• remainder theorem;
• factorization of polynomials of degree not greater than 3;
• multiplication and division of polynomials;
• roots of polynomials not exceeding degree 3;
• simultaneous equations involving one linear and one quadratic equation;
• graphs of polynomials of degree not greater than 3.

You should be able to make a required variable the subject of a formula and apply the factor and remainder theorems when solving polynomial problems.

You also need to know how to factorize expressions using methods such as:

• regrouping;
• difference of two squares;
• perfect squares;
• cubic expressions.

For simultaneous equations, you should be able to solve a pair that contains one linear equation and one quadratic equation.

You should also understand polynomial graphs and be able to interpret them, including their use in finding maximum and minimum values.

Variation

Variation describes how one quantity changes in relation to another.

You should study:

• direct variation;
• inverse variation;
• joint variation;
• partial variation;
• percentage increase and decrease.

You should be able to solve problems involving each type of variation and handle percentage changes where they are involved.

Inequalities

An inequality compares two quantities that are not necessarily equal.

You should study:

• analytical solutions of linear inequalities;
• graphical solutions of linear inequalities;
• quadratic inequalities with integral roots.

You should be able to solve both linear and quadratic inequality problems and interpret their graphical representations.

Progression

A progression is a sequence of numbers arranged according to a particular rule.

You should study:

• the nth term of a progression;
• Arithmetic Progression, commonly written as AP;
• Geometric Progression, commonly written as GP;
• sum of an AP;
• sum of a GP;
• sum to infinity of a GP.

You should be able to determine the nth term of a progression and calculate the required sums.

Binary Operations

A binary operation combines two elements according to a given rule.

You should understand the following properties:

• closure;
• commutativity;
• associativity;
• distributivity;
• identity elements;
• inverse elements.

You should be able to solve simple problems involving these properties and identify identity and inverse elements where required.

Matrices and Determinants

A matrix is an arrangement of numbers or elements in rows and columns.

You should study:

• algebra of matrices not exceeding 3 × 3;
• determinants of matrices not exceeding 3 × 3;
• inverses of 2 × 2 matrices.

You should be able to perform the basic operations of addition, subtraction, multiplication and division where applicable, calculate determinants, and find the inverse of a 2 × 2 matrix.

Section III: Geometry and Trigonometry

Geometry and Trigonometry deals with lines, angles, shapes, measurements, coordinates and trigonometric relationships. You should understand the properties involved and know how to apply them when solving problems.

Euclidean Geometry

This area covers the basic properties of lines, angles, polygons and circles.

You should study:

• properties of angles and lines;
• triangles;
• quadrilaterals;
• general polygons;
• angle properties of circles;
• cyclic quadrilaterals;
• intersecting chords;
• geometrical construction.

You should be able to identify different types of lines and angles and solve problems involving polygons.

You also need to understand circle theorems and use them to calculate angles.

For construction, you should be able to identify procedures for constructing special angles such as:

• 30°;
• 45°;
• 60°;
• 75°;
• 90°.

Mensuration

Mensuration deals with the measurement of lengths, areas, surface areas and volumes.

You should study:

• lengths and areas of plane figures;
• lengths of arcs and chords of circles;
• perimeters and areas of sectors and segments;
• surface areas of solids;
• volumes of solids;
• composite figures;
• longitude and latitude;
• the Earth as a sphere.

You should be able to calculate the perimeters and areas of triangles, quadrilaterals, circles and composite figures.

You also need to know how to find:

• the length of an arc;
• the length of a chord;
• the perimeter of a sector;
• the area of a sector;
• the area of a segment.

For solid shapes, you should be able to calculate total surface areas and volumes of:

• cuboids;
• cylinders;
• cones;
• pyramids;
• prisms;
• spheres;
• composite figures.

You should also be able to determine the distance between two points on the Earth’s surface using longitude and latitude.

Loci

A locus is the path followed by a point that moves according to a particular geometrical rule.

You should study two-dimensional loci involving:

• parallel lines;
• perpendicular bisectors;
• angle bisectors;
• circles.

You should be able to identify and interpret these different loci.

Coordinate Geometry

Coordinate Geometry deals with points, lines and their positions on a coordinate plane.

You should study:

• midpoint of a line segment;
• gradient of a line segment;
• distance between two points;
• parallel lines;
• perpendicular lines;
• equations of straight lines.

You should be able to determine the midpoint and gradient of a line segment and calculate the distance between two points.

You also need to understand the conditions that make two lines parallel or perpendicular.

For equations of straight lines, you should be able to work with:

• two-point form;
• point-slope form;
• slope-intercept form;
• general form.

Trigonometry

Trigonometry deals with the relationships between angles and sides of triangles.

You should study:

• trigonometric ratios;
• angles of elevation and depression;
• bearings;
• areas and solutions of triangles;
• graphs of sine and cosine;
• sine formula;
• cosine formula.

You should be able to calculate sine, cosine and tangent for angles within the required range.

You should also know how to use special angles such as:

• 30°;
• 45°;
• 60°;
• 75°;
• 90°;
• 105°;
• 135°.

You need to solve problems involving angles of elevation and depression and bearings.

You should also be able to apply trigonometric formulae to find the areas of triangles and solve problems involving sine and cosine graphs.

Section IV: Calculus

Calculus deals with change, rates and areas. In this section, you should understand basic limits, differentiation, applications of differentiation and integration.

Differentiation

Differentiation is used to study how a quantity changes.

You should study:

• the limit of a function;
• differentiation of explicit algebraic functions;
• differentiation of simple trigonometric functions involving:
  • sine;
  • cosine;
  • tangent.

You should be able to find the limit of a function and differentiate the types of functions listed above.

Applications of Differentiation

You should know how differentiation is applied to:

• rate of change;
• maximum values;
• minimum values.

This means you should be able to solve problems where a quantity is changing and determine maximum or minimum values where required.

Integration

Integration is another important part of Calculus.

You should study:

• integration of explicit algebraic functions;
• integration of simple trigonometric functions;
• area under a curve.

You should be able to solve simple integration problems involving algebraic and trigonometric functions.

You should also know how to calculate the area under a curve in simple cases.

Section V: Statistics

Statistics deals with collecting, presenting, interpreting and analysing data. This section also includes measures of location, measures of dispersion, permutation, combination and probability.

Representation of Data

You should study:

• frequency distribution;
• histograms;
• bar charts;
• pie charts.

You should be able to identify and interpret information presented in a frequency distribution table.

You also need to understand how to read and interpret:

• histograms;
• bar charts;
• pie charts.

Measures of Location

Measures of location help you describe the central position of a set of data.

You should study:

• mean;
• mode;
• median;
• grouped data;
• ungrouped data;
• cumulative frequency.

You should be able to calculate the mean, mode and median for grouped and ungrouped data in simple cases.

You should also know how to use an ogive, which is a cumulative frequency graph, to find:

• the median;
• quartiles;
• percentiles.

Measures of Dispersion

Measures of dispersion show how widely data values are spread.

You should study:

• range;
• mean deviation;
• variance;
• standard deviation.

You should be able to calculate these measures for both grouped and ungrouped data.

Permutation and Combination

Permutation and combination deal with arrangements and selections.

You should study:

• linear arrangements;
• circular arrangements;
• arrangements involving repeated objects.

You should be able to solve simple problems involving permutation and combination.

Probability

Probability measures how likely an event is to happen.

You should study:

• experimental probability;
• tossing a coin;
• throwing a die;
• addition of probabilities;
• multiplication of probabilities;
• mutual cases;
• independent cases.

You should be able to solve simple probability problems, including those involving the addition and multiplication of probabilities.

How to Use the JAMB Mathematics Syllabus for Revision

The JAMB Mathematics syllabus can help you organize your study by showing you the topics to cover and the skills you should develop.

Start by dividing your revision into the five main sections:

• Number and Numeration
• Algebra
• Geometry and Trigonometry
• Calculus
• Statistics

Work through each section gradually and practise the calculations under every topic.

For Number and Numeration, practise number bases, fractions, percentages, logarithms, surds and sets.

For Algebra, focus on polynomials, variation, inequalities, progression, binary operations, matrices and determinants.

For Geometry and Trigonometry, practise problems involving angles, shapes, mensuration, loci, coordinate geometry, bearings and trigonometric ratios.

For Calculus, work through differentiation, rate of change, maximum and minimum values, integration and area under a curve.

For Statistics, practise interpreting data, calculating measures of location and dispersion, and solving permutation, combination and probability problems.

Do not only read mathematical rules. Solve problems regularly. Many of the objectives require you to calculate, interpret graphs, work with diagrams, analyse data and apply mathematical ideas to problems.

Use the objectives under each topic as a checklist. They show what you should be able to do after studying that area.

You can also use the recommended Mathematics texts when you need more examples, explanations or practice questions on a particular topic.

Read also: JAMB Area of Concentration for Mathematics Subject 2027/2028

Recommended Texts for JAMB Mathematics

The following texts can support your JAMB Mathematics revision:

• Adelodun, A. A. (2000), Distinction in Mathematics: Comprehensive Revision Text, 3rd Edition, Ado-Ekiti: FNPL.
• Anyebe, J. A. B. (1998), Basic Mathematics for Senior Secondary Schools and Remedial Students in Higher Institutions, Lagos: Kenny Moore.
• Channon, J. B. and Smith, A. M. (2001), New General Mathematics for West Africa SSS 1 to 3, Lagos: Longman.
• David-Osuagwu, M. et al. (2000), New School Mathematics for Senior Secondary Schools, Onitsha: Africana-FIRST Publishers.

Read also: Full List of JAMB Recommended Textbooks for Mathematics 2027/2028

You can use these books to get more explanation and practice in areas such as algebra, geometry, trigonometry, calculus, statistics and general mathematical problem solving.

You do not need to use every book at the same time. Choose the ones that help you understand difficult topics and give you enough practice.

Key Points to Remember

• The JAMB Mathematics syllabus is divided into five main areas: Number and Numeration, Algebra, Geometry and Trigonometry, Calculus, and Statistics.
• Number and Numeration covers areas such as number bases, fractions, percentages, indices, logarithms, surds and sets.
• Algebra includes polynomials, variation, inequalities, progression, binary operations, matrices and determinants.
• Geometry and Trigonometry covers angles, polygons, circles, mensuration, loci, coordinate geometry, bearings and trigonometric ratios.
• Calculus covers limits, differentiation, rate of change, maxima and minima, integration and area under a curve.
• Statistics includes data representation, mean, median, mode, measures of dispersion, permutation, combination and probability.
• Do not only memorize formulas or definitions. Many topics require you to calculate, interpret graphs and diagrams, analyse data and solve problems.
• Use both the topics and objectives when revising so you know what to study and what you should be able to do with each topic.

Frequently Asked Questions

Conclusion

The JAMB Mathematics syllabus 2027/2028 gives you a clear guide to the topics and mathematical skills you should study. It covers Number and Numeration, Algebra, Geometry and Trigonometry, Calculus, and Statistics.

Use the syllabus to guide your revision, and make sure you practise the calculations, graphs, diagrams and problem-solving skills connected with each topic. You can also return to the JAMB Mathematics syllabus PDF whenever you need to check the topics and objectives you have already covered.

If you have any questions about the JAMB Mathematics syllabus, leave a comment. You can also share this guide with other students who may find it useful.