You can download the complete JAMB syllabus for Mathematics 2025/2026 in PDF to read it here on this webpage. The JAMB Mathematics Syllabus is where the JAMB Mathematics questions for the 2025 JAMB exam will be set.
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JAMB Syllabus for Mathematics 2025/2026
You can download the complete JAMB syllabus for Mathematics 2025/2026 in PDF to read it here on this webpage. The JAMB Mathematics Syllabus is where the JAMB Mathematics questions for the 2025 JAMB exam will be set.
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Kindly make time to study all the topics on this syllabus.
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JAMB Areas of Concentration for Mathematics 2025/2026
Table of Contents
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JAMB Syllabus for Mathematics 2025/2026
This JAMB Mathematics Syllabus provides guides to all candidates who register to sit for the Unified Tertiary Matriculation Examination (UTME) on the English Language content to be tested in the examination. The examination is designed to test candidates’ knowledge of every aspect of the syllabus developed for Mathematics. Therefore, candidates for the UTME are expected to have adequate knowledge of the entire syllabus of the English Language subject. Particular attention must be paid to recommended books and literature for some subjects, as questions based on such references will be set in the 2025 JAMB UTME. A compulsory recommended book is usually sold to every candidate at registration to encourage the culture of reading. The book’s content is tested as part of the questions in Mathematics, which is compulsory for every candidate. Therefore, every candidate is advised to ensure that he/she is given a copy of the book at the point of registration.
GENERAL OBJECTIVES
The Unified Tertiary Matriculation Examination (UTME) syllabus in Mathematics aims to prepare the candidates for the Board’s examination. It is designed to test the achievement of the course objectives, which are to:
- Acquire computational and manipulative skills
- Develop precise, logical, and formal reasoning skills
- Develop deductive skills in the interpretation of graphs, diagrams, and data
- Apply mathematical concepts to resolve issues in daily living
This syllabus is divided into five sections:
- Number and Numeration
- Algebra
- Geometry/Trigonometry
- Calculus
- Statistics
Detailed JAMB 2025 Mathematics Syllabus
SECTION I: NUMBER AND NUMERATION
- Number bases:
- (a) operations in different number bases from 2 to 10;
- (b) conversion from one base to another including fractional parts.
Candidates should be able to:
- i. perform four basic operations (x, +, -, ÷)
- ii. convert one base to another
- iii. perform operations in modulo arithmetic.
- Fractions, Decimals, Approximations, and Percentages:
- (a) fractions and decimals;
- (b) significant figures;
- (c) decimal places;
- (d) percentage errors;
- (e) simple interest;
- (f) profit and loss percent;
- (i) ratio, proportion, and rate;
- (j) shares and value-added tax (VAT).
Candidates should be able to:
- i. perform basic operations (x, +, -, ÷) on fractions and decimals;
- ii. express to specified number of significant figures and decimal places;
- iii. calculate simple interest, profit, and loss percent; ratio, proportion, rate, and percentage error;
- iv. solve problems involving share and VAT.
- Indices, Logarithms, and Surds:
- (a) laws of indices;
- (b) equations involving indices;
- (c) standard form;
- (d) laws of logarithms;
- (e) logarithm of any positive number to a given base;
- (f) change of bases in logarithms and application;
- (g) relationship between indices and logarithms;
- (h) Surds.
Candidates should be able to:
- i. apply the laws of indices in calculation;
- ii. establish the relationship between indices and logarithms in solving problems;
- iii. solve equations involving indices;
- iv. solve problems in different bases in logarithms;
- v. simplify and rationalize surds;
- vi. perform basic operations on surds.
- Sets:
- (a) types of sets;
- (b) algebra of sets;
- (c) Venn diagrams and their applications.
Candidates should be able to:
- i. identify types of sets, i.e., empty, universal, complements, subsets, finite, infinite, and disjoint sets;
- ii. solve problems involving cardinality of sets;
- iii. solve set problems using symbols;
- iv. use Venn diagrams to solve problems involving not more than 3 sets.
SECTION II: ALGEBRA
- Polynomials:
- (a) change of subject of formula;
- (b) multiplication and division of polynomials;
- (c) factorization of polynomials of degree not exceeding 3;
- (d) roots of polynomials not exceeding degree 3;
- (e) factor and remainder theorems;
- (f) simultaneous equations including one linear one quadratic;
- (g) graphs of polynomials of degree not greater than 3.
Candidates should be able to:
- i. find the subject of the formula of a given equation;
- ii. apply factor and remainder theorem to factorize a given expression;
- iii. multiply, divide polynomials of degree not more than 3 and determine values of defined and undefined expressions;
- iv. factorize by regrouping difference of two squares, perfect squares, and cubic expressions, etc.;
- v. solve simultaneous equations – one linear, one quadratic;
- vi. interpret graphs of polynomials including applications to maximum and minimum values.
- Variation:
- (a) direct;
- (b) inverse;
- (c) joint;
- (d) partial;
- (e) percentage increase and decrease.
Candidates should be able to:
- i. solve problems involving direct, inverse, joint, and partial variations;
- ii. solve problems on percentage increase and decrease in variation.
- Inequalities:
- (a) analytical and graphical solutions of linear inequalities;
- (b) quadratic inequalities with integral roots only.
Candidates should be able to:
- i. solve problems on linear and quadratic inequalities;
- ii. interpret graphs of inequalities.
- Progression:
- (a) nth term of a progression;
- (b) sum of A.P. and G.P.
Candidates should be able to:
- i. determine the nth term of a progression;
- ii. compute the sum of A.P. and G.P;
- iii. sum to infinity of a given G.P.
- Binary Operations:
- (a) properties of closure, commutativity, associativity, and distributivity;
- (b) identity and inverse elements (simple cases only).
Candidates should be able to:
- i. solve problems involving closure, commutativity, associativity, and distributivity;
- ii. solve problems involving identity and inverse elements.
- Matrices and Determinants:
- (a) algebra of matrices not exceeding 3×3;
- (b) determinants of matrices not exceeding 3×3;
- (c) inverses of 2×2 matrices; [excluding quadratic and higher degree equations].
Candidates should be able to:
- i. perform basic operations (x, +, -, ÷) on matrices;
- ii. calculate determinants;
- iii. compute inverses of 2×2 matrices.
SECTION III: GEOMETRY AND TRIGONOMETRY
- Euclidean Geometry:
- (a) Properties of angles and lines;
- (b) Polygons: triangles, quadrilaterals, and general polygons;
- (c) Circles: angle properties, cyclic quadrilaterals, and intersecting chords;
- (d) construction.
Candidates should be able to:
- i. identify various types of lines and angles;
- ii. solve problems involving polygons;
- iii. calculate angles using circle theorems;
- iv. identify construction procedures of special angles, e.g. 30º, 45º, 60º, 75º, 90º, etc.
- Mensuration:
- (a) lengths and areas of plane geometrical figures;
- (b) lengths of arcs and chords of a circle;
- (c) Perimeters and areas of sectors and segments of circles;
- (d) surface areas and volumes of simple solids and composite figures;
- (e) the earth as a sphere: longitudes and latitudes.
Candidates should be able to:
- i. calculate the perimeters and areas of triangles, quadrilaterals, circles, and composite figures;
- ii. find the length of an arc, a chord, perimeters, and areas of sectors and segments of circles;
- iii. calculate total surface areas and volumes of cuboids, cylinders, cones, pyramids, prisms, spheres, and composite figures;
- iv. determine the distance between two points on the earth’s surface.
- Loci:
Locus in 2 dimensions based on geometric principles relating to lines and curves.Candidates should be able to:- identify and interpret loci relating to parallel lines, perpendicular bisectors, angle bisectors, and circles.
- Coordinate Geometry:
- (a) midpoint and gradient of a line segment;
- (b) distance between two points;
- (c) parallel and perpendicular lines;
- (d) equations of straight lines.
Candidates should be able to:
- i. determine the midpoint and gradient of a line segment;
- ii. find the distance between two points;
- iii. identify conditions for parallelism and perpendicularity;
- iv. find the equation of a line in the two-point form.