You can download the complete JAMB syllabus for Mathematics 2025/2026 in PDF format here on this webpage. The JAMB Mathematics Syllabus is the foundation for all the Mathematics questions that will be included in the 2025 JAMB exam.
JAMB Syllabus for Mathematics 2025/2026
The JAMB Mathematics Syllabus serves as a comprehensive guide for all candidates registering for the Unified Tertiary Matriculation Examination (UTME). It outlines the areas to be tested in the examination, ensuring candidates are well-prepared. As the exam is designed to assess candidates’ knowledge of every aspect of the syllabus, it is crucial for candidates to fully familiarize themselves with the content. Special attention must be given to recommended books and literature, as questions based on these references will be part of the 2025 JAMB UTME. A compulsory recommended book will be provided to each candidate during registration, and its content will be tested as part of the Mathematics questions. Therefore, it is essential for candidates to ensure they receive this book upon registration.
GENERAL OBJECTIVES
The aim of the UTME syllabus in Mathematics is to prepare candidates for the examination by testing the achievement of key course objectives. These objectives are as follows:
- Develop computational and manipulative skills.
- Enhance logical, precise, and formal reasoning abilities.
- Foster deductive skills for interpreting graphs, diagrams, and data.
- Apply mathematical concepts to solve real-life problems.
This syllabus is divided into five primary sections:
- Number and Numeration
- Algebra
- Geometry/Trigonometry
- Calculus
- Statistics
Detailed JAMB 2025 Mathematics Syllabus
SECTION I: NUMBER AND NUMERATION
- Number Bases: Operations in number bases from 2 to 10 and conversion between different bases, including fractional parts. Candidates should be able to:
- Perform basic operations (x, +, -, ÷).
- Convert between bases.
- Solve problems involving modulo arithmetic.
- Fractions, Decimals, Approximations, and Percentages: Candidates should be able to perform operations on fractions and decimals, and handle significant figures, decimal places, percentage errors, simple interest, profit/loss percent, ratio, proportion, rate, shares, and VAT. Additionally, candidates should be able to:
- Express numbers to specified significant figures and decimal places.
- Calculate interest, profit, loss percent, ratio, proportion, and percentage error.
- Solve problems involving share and VAT.
- Indices, Logarithms, and Surds: This section covers the laws of indices, equations involving indices, standard form, and logarithmic operations. Candidates should be able to:
- Apply the laws of indices in calculations.
- Understand the relationship between indices and logarithms.
- Solve problems involving indices and logarithms.
- Simplify and rationalize surds.
- Sets: Focuses on types of sets, set operations, and Venn diagrams. Candidates should be able to:
- Identify different types of sets (e.g., empty, universal, finite, etc.).
- Solve problems involving the cardinality of sets.
- Use Venn diagrams to solve problems with up to three sets.
SECTION II: ALGEBRA
- Polynomials: Covers the change of subject of formula, multiplication and division of polynomials, factorization, and solving simultaneous equations. Candidates should be able to:
- Find the subject of a given formula.
- Apply the factor and remainder theorems.
- Multiply, divide, and factorize polynomials with a degree not exceeding 3.
- Variation: Includes direct, inverse, joint, partial variations, and percentage increase/decrease. Candidates should be able to:
- Solve problems on variations and percentage changes.
- Inequalities: Involves both analytical and graphical solutions for linear and quadratic inequalities. Candidates should be able to:
- Solve linear and quadratic inequalities.
- Interpret inequality graphs.
- Progression: Covers the nth term of a progression, as well as the sum of A.P. and G.P. Candidates should be able to:
- Determine the nth term of a progression.
- Calculate the sum of A.P. and G.P., including the sum to infinity of a given G.P.
- Binary Operations: Discusses properties such as closure, commutativity, and associativity, as well as identity and inverse elements. Candidates should be able to:
- Solve problems involving the properties of binary operations.
- Matrices and Determinants: Focuses on matrix operations and determinants for matrices not exceeding 3×3. Candidates should be able to:
- Perform basic matrix operations.
- Calculate determinants and compute the inverses of 2×2 matrices.
SECTION III: GEOMETRY AND TRIGONOMETRY
- Euclidean Geometry: Covers properties of angles, lines, polygons, and circles. Candidates should be able to:
- Identify and solve problems involving various types of angles and lines.
- Solve problems using circle theorems.
- Perform constructions for special angles, such as 30º, 45º, 60º, 90º, etc.
- Mensuration: Involves calculating perimeters, areas, surface areas, and volumes of various geometrical figures, as well as determining the distance between points on the earth’s surface. Candidates should be able to:
- Calculate areas and perimeters of different plane figures.
- Calculate surface areas and volumes of solids such as cuboids, cones, and spheres.
- Determine distances on the earth’s surface using spherical geometry.
- Loci: Focuses on loci in two dimensions based on geometric principles. Candidates should be able to:
- Identify and interpret loci relating to lines, bisectors, and circles.
- Coordinate Geometry: Involves finding the midpoint and gradient of a line segment, distance between points, and equations of straight lines. Candidates should be able to:
- Find the midpoint and gradient of a line.
- Compute the distance between two points and the equation of a straight line.
