JAMB Mathematics Areas of Concentration for 2027/2028 UTME

Preparing for Mathematics in the 2027/2028 Unified Tertiary Matriculation Examination (UTME) requires more than solving random past questions. You need to understand the official JAMB Mathematics syllabus, identify the topics you must cover and practise the different types of questions that may appear in the examination.

The JAMB Mathematics syllabus is divided into five major sections containing 23 topics. These sections cover Number and Numeration, Algebra, Geometry and Trigonometry, Calculus, and Statistics.

This guide provides the complete JAMB Mathematics syllabus for 2027/2028, including the topics, subtopics and examination objectives. You will also find recommended textbooks and practical advice to help you prepare effectively.

JAMB Mathematics Areas of Concentration for 2027/2028

What Is the JAMB Mathematics Syllabus?

The JAMB Mathematics syllabus is an official guide that outlines the topics, subtopics and learning objectives candidates are expected to study before sitting for the UTME.

It helps candidates understand the scope of the examination and prevents them from wasting valuable preparation time on unrelated topics.

The syllabus is designed to test candidates’ ability to perform mathematical calculations, understand mathematical principles, interpret graphs and apply mathematical knowledge to everyday problems.

According to the syllabus objectives, candidates should be able to:

• Acquire computational and manipulative skills.
• Develop precise, logical and formal reasoning skills.
• Develop deductive skills in interpreting graphs, diagrams and data.
• Apply mathematical concepts to solve problems in everyday life.

JAMB Mathematics Syllabus 2027/2028

The JAMB Mathematics syllabus contains five sections. Each section covers different areas of mathematics, from basic number operations to advanced topics such as calculus, probability and statistics.

The table below provides an overview of all five sections and their corresponding topics.

Section	Topics covered	Number of topics
Number and Numeration	Number Bases/Modular Arithmetic; Fractions, Decimals, Approximations and Percentages; Indices, Logarithms and Surds; Sets	4
Algebra	Polynomials; Variation; Inequalities; Progression; Binary Operations; Matrices and Determinants	6
Geometry and Trigonometry	Euclidean Geometry; Mensuration; Loci; Coordinate Geometry; Trigonometry	5
Calculus	Differentiation; Application of Differentiation; Integration	3
Statistics	Representation of Data; Measures of Location; Measures of Dispersion; Permutation and Combination; Probability	5
Total	23 topics	23

SECTION I: NUMBER AND NUMERATION

Number and Numeration introduces candidates to basic mathematical operations, number systems, percentages, logarithms and set theory. It contains four major topics.

1. Number Bases and Modular Arithmetic

Subtopics to cover:

• Operations in different number bases from 2 to 10.
• Conversion from one number base to another, including fractional parts.
• Modular arithmetic.

Objectives: Candidates should be able to:

1. Perform addition, subtraction, multiplication and division in different number bases.
2. Convert numbers from one base to another, including numbers with fractional parts.
3. Solve mathematical problems involving modular arithmetic.

Explanation:

Number bases describe different systems of representing numbers. While the decimal system uses base 10, other systems such as binary use base 2.

For JAMB, you should understand how to convert numbers between different bases and perform basic mathematical operations without first converting everything into decimal form.

Modular arithmetic deals with remainders after division. Practise questions involving congruence and simple remainder calculations.

2. Fractions, Decimals, Approximations and Percentages

Subtopics to cover:

• Fractions and decimals.
• Significant figures.
• Decimal places.
• Percentage errors.
• Simple interest.
• Profit and loss percentages.
• Ratio, proportion and rate.
• Shares and value-added tax (VAT).

Objectives: Candidates should be able to:

1. Perform basic operations on fractions and decimals.
2. Express numbers to specified significant figures and decimal places.
3. Calculate simple interest, profit and loss percentages, ratios, proportions, rates and percentage errors.
4. Solve problems involving shares and VAT.

Explanation:

This topic covers mathematical operations commonly used in everyday financial transactions. You should understand how to work with fractions, decimals, percentages and approximations.

Pay particular attention to simple interest, profit and loss, ratio, proportion and VAT. These areas often involve practical word problems where you must identify the correct figures and apply the appropriate formula.

Also, understand the difference between significant figures and decimal places. Practise rounding numbers correctly and calculating percentage errors.

3. Indices, Logarithms and Surds

Subtopics to cover:

• Laws of indices.
• Equations involving indices.
• Standard form.
• Laws of logarithms.
• Logarithms of positive numbers to given bases.
• Change of bases in logarithms and their applications.
• Relationship between indices and logarithms.
• Surds.

Objectives: Candidates should be able to:

1. Apply the laws of indices in mathematical calculations.
2. Establish the relationship between indices and logarithms.
3. Solve equations involving indices.
4. Solve problems involving logarithms in different bases.
5. Simplify and rationalise surds.
6. Perform basic operations on surds.

Explanation:

Indices represent repeated multiplication, while logarithms are used to find unknown powers. Surds are irrational expressions involving roots that cannot be simplified into rational numbers.

Study the laws of indices and logarithms carefully because they provide the foundation for solving more complicated mathematical expressions.

Practise converting between exponential and logarithmic forms, solving index equations, simplifying surds and expressing very large or small numbers in standard form.

4. Sets

Subtopics to cover:

• Types of sets.
• Algebra of sets.
• Venn diagrams and their applications.

Objectives: Candidates should be able to:

1. Identify empty, universal, complementary, subset, finite, infinite and disjoint sets.
2. Solve problems involving the cardinality of sets.
3. Solve set problems using mathematical symbols.
4. Use Venn diagrams to solve problems involving not more than three sets.

Explanation:

Set theory deals with collections of objects or elements that share common characteristics.

You should understand the different types of sets and operations such as union, intersection and complement.

Venn diagrams are particularly important because they help represent relationships between sets visually. Practise questions involving students who offer different subjects, participate in activities or belong to multiple groups.

SECTION II: ALGEBRA

Algebra deals with mathematical expressions, equations, relationships and operations involving unknown values. It contains six topics and requires regular practice to master.

1. Polynomials

Subtopics to cover:

• Change of subject of formula.
• Addition, subtraction, multiplication and division of polynomials.
• Factorisation of polynomials of degree not exceeding three.
• Roots of polynomials not exceeding degree three.
• Factor and remainder theorems.
• Simultaneous equations involving one linear and one quadratic equation.
• Graphs of polynomials of degree not greater than three.

Objectives: Candidates should be able to:

1. Make a given variable the subject of a formula.
2. Apply factor and remainder theorems to factorise expressions.
3. Multiply and divide polynomials of degree not exceeding three.
4. Factorise expressions using regrouping, difference of two squares, perfect squares and cubic expressions.
5. Solve simultaneous equations involving one linear and one quadratic equation.
6. Interpret polynomial graphs, including applications to maximum and minimum values.

Explanation:

Polynomials are algebraic expressions containing variables raised to non-negative integer powers. Examples include linear, quadratic and cubic expressions.

You should understand how to simplify, expand and factorise polynomial expressions. Learn how to solve polynomial equations and identify their roots.

Pay special attention to factor and remainder theorems, simultaneous equations and polynomial graphs. Practise changing the subject of a formula because this skill is useful in several other areas of Mathematics.

2. Variation

Subtopics to cover:

• Direct variation.
• Inverse variation.
• Joint variation.
• Partial variation.
• Percentage increase and decrease.

Objectives: Candidates should be able to:

1. Solve problems involving direct, inverse, joint and partial variation.
2. Solve problems involving percentage increase and decrease.

Explanation:

Variation explains how one quantity changes in relation to another.

In direct variation, two quantities increase or decrease together. In inverse variation, an increase in one quantity causes a decrease in the other, assuming the relationship remains constant.

Joint and partial variation involve relationships between multiple variables or a combination of constant and variable quantities.

Practise identifying the type of variation in a question before choosing the appropriate equation.

3. Inequalities

Subtopics to cover:

• Analytical and graphical solutions of linear inequalities.
• Quadratic inequalities with integral roots only.

Objectives: Candidates should be able to:

1. Solve linear and quadratic inequalities.
2. Interpret graphs of inequalities.

Explanation:

Inequalities describe relationships where one quantity is greater than, less than, greater than or equal to, or less than or equal to another.

Understand the symbols used in inequalities and how to represent solutions on number lines and graphs.

Practise solving inequalities involving brackets, negative numbers and quadratic expressions. Remember that multiplying or dividing an inequality by a negative number reverses the inequality sign.

4. Progression

Subtopics to cover:

• Nth term of a progression.
• Sum of arithmetic progression (A.P.).
• Sum of geometric progression (G.P.).

Objectives: Candidates should be able to:

1. Determine the nth term of a progression.
2. Calculate the sum of an arithmetic and geometric progression.
3. Find the sum to infinity of a given geometric progression.

Explanation:

Progression deals with sequences of numbers arranged according to a particular mathematical pattern.

An arithmetic progression has a constant difference between consecutive terms, while a geometric progression has a constant ratio.

Learn the formulas for finding the nth term and sum of both types of progression. Also, understand the conditions required to calculate the sum to infinity of a geometric progression.

5. Binary Operations

Subtopics to cover:

• Closure.
• Commutativity.
• Associativity.
• Distributivity.
• Identity elements.
• Inverse elements.

Objectives: Candidates should be able to:

1. Solve problems involving closure, commutativity, associativity and distributivity.
2. Solve problems involving identity and inverse elements.

Explanation:

Binary operations involve mathematical rules that combine two elements to produce another element.

For example, addition and multiplication are familiar binary operations. However, JAMB may introduce a new operation using a special symbol and ask you to determine its properties.

Understand how to test whether an operation is closed, commutative or associative. Also, practise identifying identity and inverse elements in simple cases.

6. Matrices and Determinants

Subtopics to cover:

• Algebra of matrices not exceeding 3 × 3.
• Determinants of matrices not exceeding 3 × 3.
• Inverses of 2 × 2 matrices, excluding quadratic and higher-degree equations.

Objectives: Candidates should be able to:

1. Perform addition, subtraction and multiplication of matrices.
2. Calculate determinants of matrices.
3. Calculate the inverse of a 2 × 2 matrix.

Explanation:

Matrices are rectangular arrangements of numbers in rows and columns. They are useful in solving simultaneous equations and representing mathematical information.

Learn how to identify the order of a matrix and perform basic matrix operations. Pay particular attention to determinants and inverses of 2 × 2 matrices.

Practise questions involving matrix multiplication because the order of multiplication matters.

SECTION III: GEOMETRY AND TRIGONOMETRY

This section covers shapes, angles, measurements, coordinate systems and relationships between the sides and angles of triangles. It contains five topics.

1. Euclidean Geometry

Subtopics to cover:

• Properties of angles and lines.
• Polygons, including triangles, quadrilaterals and general polygons.
• Circles, angle properties, cyclic quadrilaterals and intersecting chords.
• Geometrical construction.

Objectives: Candidates should be able to:

1. Identify different types of lines and angles.
2. Solve problems involving polygons.
3. Calculate angles using circle theorems.
4. Identify construction procedures for special angles such as 30°, 45°, 60°, 75° and 90°.

Explanation:

Euclidean geometry focuses on the properties and relationships of points, lines, angles and shapes.

Understand complementary and supplementary angles, angles on a straight line, angles around a point and angles formed by parallel lines.

Also, study the properties of triangles, quadrilaterals and circles. Circle theorems are particularly important, so practise finding unknown angles using the properties of cyclic quadrilaterals, chords and tangents where applicable.

2. Mensuration

Subtopics to cover:

• Lengths and areas of plane geometrical figures.
• Lengths of arcs and chords of a circle.
• Perimeters and areas of sectors and segments of circles.
• Surface areas and volumes of simple solids and composite figures.
• The Earth as a sphere: longitudes and latitudes.

Objectives: Candidates should be able to:

1. Calculate the perimeters and areas of triangles, quadrilaterals, circles and composite figures.
2. Find the lengths of arcs and chords, and the perimeters and areas of sectors and segments.
3. Calculate the total surface areas and volumes of cuboids, cylinders, cones, pyramids, prisms, spheres and composite figures.
4. Determine distances between two points on the Earth’s surface.

Explanation:

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

You should memorise the important formulas for common plane shapes and solid objects. Practise questions involving circles, triangles, rectangles, cylinders, cones, spheres and composite shapes.

Also, understand how latitude and longitude are used to determine locations and distances on the Earth’s surface.

3. Loci

Subtopics to cover:

• Loci in two dimensions based on geometric principles relating to lines and curves.

Objectives: Candidates should be able to:

1. Identify and interpret loci relating to parallel lines.
2. Identify perpendicular bisectors, angle bisectors and circles.

Explanation:

A locus is a set of points that satisfy a particular geometrical condition.

For example, the locus of points at a fixed distance from a given point forms a circle. Similarly, points equidistant from two fixed points lie on the perpendicular bisector of the line joining them.

Practise identifying loci from geometrical descriptions and diagrams.

4. Coordinate Geometry

Subtopics to cover:

• Midpoint and gradient of a line segment.
• Distance between two points.
• Parallel and perpendicular lines.
• Equations of straight lines.

Objectives: Candidates should be able to:

1. Determine the midpoint and gradient of a line segment.
2. Calculate the distance between two points.
3. Identify the conditions for parallel and perpendicular lines.
4. Find equations of straight lines using two-point, point-slope, slope-intercept and general forms.

Explanation:

Coordinate geometry combines algebra and geometry to solve problems involving points, lines and graphs on the Cartesian plane.

Learn the formulas for calculating gradients, midpoints and distances between points. Understand how parallel lines have equal gradients and how perpendicular lines have gradients whose product is -1, when both gradients are defined.

Practise finding equations of straight lines from given points and gradients.

5. Trigonometry

Subtopics to cover:

• Trigonometrical ratios of angles.
• Angles of elevation and depression.
• Bearings.
• Areas and solutions of triangles.
• Graphs of sine and cosine.
• Sine and cosine formulae.

Objectives: Candidates should be able to:

1. Calculate sine, cosine and tangent of angles between -360° and 360°.
2. Apply special angles such as 30°, 45°, 60°, 75°, 90°, 105° and 135° to solve simple problems.
3. Solve problems involving angles of elevation and depression.
4. Solve problems involving bearings.
5. Apply trigonometric formulae to calculate the areas of triangles.
6. Solve problems involving sine and cosine graphs.

Explanation:

Trigonometry studies the relationships between angles and sides of triangles. The three basic ratios are sine, cosine and tangent.

Understand SOH-CAH-TOA and how to apply these ratios to right-angled triangles. Also, study bearings, angles of elevation and depression, and the sine and cosine rules for solving non-right-angled triangles.

Practise drawing and interpreting sine and cosine graphs, including their periods and important values.

SECTION IV: CALCULUS

Calculus deals with changes in quantities and the accumulation of values. It contains three topics: differentiation, application of differentiation and integration.

1. Differentiation

Subtopics to cover:

• Limits of functions.
• Differentiation of explicit algebraic functions.
• Differentiation of simple trigonometric functions, including sine, cosine and tangent.

Objectives: Candidates should be able to:

1. Find the limit of a function.
2. Differentiate explicit algebraic and simple trigonometric functions.

Explanation:

Differentiation is used to determine how quickly a mathematical function changes with respect to a variable.

Study the basic rules of differentiation, including the power rule and simple differentiation of trigonometric functions. Understand how limits are used to define derivatives.

Practise finding the derivatives of polynomial expressions and simple sine, cosine and tangent functions.

2. Application of Differentiation

Subtopics to cover:

• Rate of change.
• Maxima and minima.

Objectives: Candidates should be able to:

1. Solve problems involving rates of change.
2. Solve problems involving maximum and minimum values.

Explanation:

Differentiation has practical applications in determining how quantities change over time or in relation to other variables.

For example, it can be used to determine the rate at which distance changes with time or to identify the maximum profit and minimum cost of a business.

Learn how to use the first derivative to find stationary points and understand the basic conditions for maxima and minima.

3. Integration

Subtopics to cover:

• Integration of explicit algebraic functions.
• Integration of simple trigonometric functions.
• Area under a curve.

Objectives: Candidates should be able to:

1. Solve integration problems involving algebraic and simple trigonometric functions.
2. Calculate the area under a curve in simple cases.

Explanation:

Integration is the reverse process of differentiation in basic calculus. It is used to find antiderivatives and calculate areas under curves.

Study the basic rules of integration, including the power rule and simple trigonometric integrals. Practise evaluating definite and indefinite integrals and applying integration to calculate areas.

SECTION V: STATISTICS

Statistics involves collecting, organising, presenting and interpreting numerical information. This section contains five topics and includes both calculations and data interpretation.

1. Representation of Data

Subtopics to cover:

• Frequency distribution.
• Histograms.
• Bar charts.
• Pie charts.

Objectives: Candidates should be able to:

1. Identify and interpret frequency distribution tables.
2. Interpret information presented in histograms, bar charts and pie charts.

Explanation:

Data representation involves organising numerical information into tables, charts and graphs to make it easier to understand.

Learn how to construct and interpret frequency distribution tables. Understand the differences between histograms, bar charts and pie charts.

Practise extracting information from diagrams and answering questions involving frequencies, totals and proportions.

2. Measures of Location

Subtopics to cover:

• Mean, mode and median of ungrouped and grouped data in simple cases.
• Cumulative frequency.

Objectives: Candidates should be able to:

1. Calculate the mean, mode and median of grouped and ungrouped data.
2. Use ogives to find the median, quartiles and percentiles.

Explanation:

Measures of location describe the central position of a collection of data.

The mean is the average value, the median is the middle value when data is arranged in order, and the mode is the most frequently occurring value.

Understand how to calculate these measures for both grouped and ungrouped data. Also, practise using cumulative frequency tables and ogives to determine medians, quartiles and percentiles.

3. Measures of Dispersion

Subtopics to cover:

• Range.
• Mean deviation.
• Variance.
• Standard deviation.

Objectives: Candidates should be able to:

1. Calculate the range of grouped and ungrouped data.
2. Calculate mean deviation.
3. Determine variance.
4. Calculate standard deviation.

Explanation:

Measures of dispersion show how spread out a set of values is.

While measures of location describe the centre of a data set, dispersion explains how far individual values are spread around that centre.

Study the formulas for range, mean deviation, variance and standard deviation. Practise both grouped and ungrouped data calculations.

4. Permutation and Combination

Subtopics to cover:

• Linear arrangements.
• Circular arrangements.
• Arrangements involving repeated objects.

Objectives: Candidates should be able to:

1. Solve simple problems involving permutations.
2. Solve simple problems involving combinations.

Explanation:

Permutation and combination deal with counting the possible ways objects can be selected or arranged.

Permutation is concerned with arrangements where order matters, while combination involves selections where order does not matter.

Learn the factorial notation and the formulas for permutation and combination. Practise questions involving people arranged in a row, circular seating arrangements and repeated objects.

5. Probability

Subtopics to cover:

• Experimental probability involving coins, dice and similar experiments.
• Addition of probabilities.
• Multiplication of probabilities.
• Mutually exclusive and independent events.

Objectives: Candidates should be able to:

1. Solve simple experimental probability problems.
2. Apply addition rules of probability.
3. Apply multiplication rules of probability.
4. Solve problems involving mutually exclusive and independent events.

Explanation:

Probability measures how likely an event is to occur. It is usually expressed as a fraction, decimal or percentage between zero and one.

Understand how to calculate the probability of getting a particular result when tossing coins, throwing dice or selecting objects from a group.

Also, learn the addition and multiplication rules of probability. Pay attention to the difference between mutually exclusive events and independent events because they require different approaches.

JAMB Mathematics Recommended Textbooks

Studying the syllabus is important, but you also need reliable textbooks that explain mathematical concepts and provide enough examples and exercises.

JAMB provides a list of recommended Mathematics textbooks that candidates can use alongside the syllabus. These books cover important areas of secondary-school Mathematics and can help you understand difficult concepts.

The recommended textbooks include:

• 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.
• Egbe, E. et al. (2000). Further Mathematics. Onitsha: Africana-FIRST Publishers.
• Ibude, S. O. et al. (2003). Algebra and Calculus for Schools and Colleges. LINCEL Publishers.
• Tuttuh-Adegun, M. R. et al. (1997). Further Mathematics Project Books 1 to 3. Ibadan: NPS Educational.
• Wisdomline Pass at Once JAMB.

You do not necessarily need to read every textbook on this list. Choose one or two suitable books that explain topics clearly, provide worked examples and contain enough practice questions.

How Many Questions Are in JAMB Mathematics?

Mathematics is one of the four subjects candidates take in the UTME. The standard examination format allocates 40 objective questions to Mathematics.

Candidates answer their four registered subjects within the overall UTME examination time of two hours. This means you must learn to solve mathematical problems accurately without spending too much time on individual questions.

Regular CBT practice will help you improve your speed, manage examination time and become familiar with answering questions on a computer.

How to Prepare for JAMB Mathematics 2027/2028

Mathematics requires consistent practice. Reading formulas without applying them to questions will not give you the confidence needed to perform well in the examination.

Here are some practical ways to prepare:

1. Study According to the Official Syllabus

Use the 23 topics in the syllabus as your preparation checklist. Complete each topic systematically and avoid skipping areas simply because you find them difficult.

2. Practise Mathematics Every Day

Set aside time daily to solve mathematical problems. Even 30 to 60 minutes of focused practice can help you improve your understanding and calculation skills.

3. Memorise Important Formulas Through Practice

Keep a separate notebook for mathematical formulas. Include formulas for mensuration, trigonometry, progression, statistics, differentiation and integration.

Do not just memorise them. Learn when and how to apply each formula.

4. Study JAMB Past Questions

Past questions help you understand the structure of UTME Mathematics questions and identify areas where you need more practice.

Solve questions topic by topic before moving to full-length mixed examinations. Review your mistakes and understand why the correct options are right.

5. Practise on a CBT Platform

Since UTME is computer-based, practise answering Mathematics questions on a CBT platform. This helps you become comfortable selecting answers, navigating questions and managing your examination time.

6. Give Difficult Topics More Attention

Do not spend all your study time on topics you already understand. Identify your weak areas, especially calculations involving algebra, trigonometry, mensuration, statistics and calculus.

Ask your teacher for help or use worked examples to understand difficult concepts.

JAMB Mathematics Syllabus 2027/2028 PDF

Candidates who want to study offline can access the official JAMB syllabus through the Integrated Brochure and Syllabus System (IBASS).

Visit the official portal below to check the Mathematics syllabus and access the available syllabus resources:

Official JAMB IBASS Syllabus Portal: https://ibass.jamb.gov.ng/e-syllabus

You can also visit our Complete JAMB Syllabus Library for All Subjects to find syllabus guides for English Language, Physics, Chemistry, Biology, Economics and other UTME subjects.

Always check the official portal for the syllabus applicable to your examination year.

Frequently Asked Questions About JAMB Mathematics

Conclusion

Scoring high in JAMB Mathematics is achievable when you prepare with the right materials and practise consistently. Start with the official syllabus, divide the 23 topics into manageable study sessions and solve questions after completing each topic.

Do not wait until the examination is close before taking Mathematics seriously. The earlier you begin, the more time you have to understand difficult concepts, master formulas and improve your calculation speed.

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