JAMB Syllabus For Mathematics 2025/2026

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JAMB Syllabus For Mathematics

Are you searching for JAMB Syllabus for Mathematics to prepare for your forthcoming JAMB examinations?

Then you’ve come to the right place.

The JAMB Mathematics Syllabus is an essential guide for candidates preparing for the UTME (Unified Tertiary Matriculation Examination).

It outlines the topics, concepts, and objectives that will be tested in the exam.

Below is a breakdown of the topics and objectives covered in the JAMB Mathematics syllabus.

Grab a chilled glass of water and keep reading….

ALSO READ: JAMB Syllabus For Chemistry 2025/2026

JAMB Syllabus For Mathematics

The Unified Tertiary Matriculation Examination (UTME) 2025 Mathematics syllabus is designed to prepare candidates for the JAMB examination.

It aims to assess their understanding and application of mathematical concepts by testing the following objectives:

  1. Acquire computational and manipulative skills.
  2. Develop precise, logical, and formal reasoning skills.
  3. Enhance deductive abilities in interpreting graphs, diagrams, and data.
  4. Apply mathematical concepts to solve real-life problems.

Syllabus Structure

The syllabus is divided into five major sections:

  • I. Number and Numeration
  • II. Algebra
  • III. Geometry and Trigonometry
  • IV. Calculus
  • V. Statistics

This structured approach ensures candidates build a strong foundation in Mathematics for academic and practical applications.

SECTION I: NUMBER AND NUMERATION

1. Number Bases

Topics:

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

Objectives: Candidates should be able to:

  1. Perform four basic operations (+, -, ×, ÷).
  2. Convert one base to another.

2. Fractions, Decimals, Approximations, and Percentages

Topics:

  • Fractions and decimals
  • Significant figures
  • Decimal places
  • Percentage errors
  • Simple interest
  • Profit and loss percent
  • 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 percent, ratio, proportion, and rate.
  4. Solve problems involving shares and VAT.

3. Indices, Logarithms, and Surds

Topics:

  • Laws of indices
  • Standard form
  • Laws of logarithms
  • Logarithm of any positive number to a given base
  • Change of bases in logarithms and applications
  • Relationship between indices and logarithms
  • Surds

Objectives: Candidates should be able to:

  1. Apply the laws of indices in calculations.
  2. Establish the relationship between indices and logarithms in solving problems.
  3. Solve problems in different logarithmic bases.
  4. Simplify and rationalize surds.
  5. Perform basic operations on surds.

4. Sets

Topics:

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

Objectives: Candidates should be able to:

  1. Identify types of sets (empty, universal, complements, subsets, finite, infinite, and disjoint sets).
  2. Solve problems involving the cardinality of sets.
  3. Solve set problems using symbols.
  4. Use Venn diagrams to solve problems involving not more than 3 sets.

SECTION II: ALGEBRA

1. Polynomials

Topics:

  • Change of subject of formula
  • Factor and remainder theorems
  • Factorization of polynomials of degree not exceeding 3.
  • Multiplication and division of polynomials
  • Roots of polynomials not exceeding degree 3
  • Simultaneous equations, including one linear and one quadratic
  • Graphs of polynomials of degree not greater than 3

Objectives: Candidates should be able to:

  1. Find the subject of a formula.
  2. Apply factor and remainder theorems to factorize expressions.
  3. Multiply and divide polynomials of degree not more than 3.
  4. Factorize by regrouping difference of two squares, perfect squares, and cubic expressions.
  5. Solve simultaneous equations (one linear, one quadratic).
  6. Interpret graphs of polynomials, including applications to maximum and minimum values.

2. Variation

Topics:

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

Objectives: Candidates should be able to:

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

3. Inequalities

Topics:

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

Objectives: Candidates should be able to:

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

4. Progression

Topics:

  • Nth term of a progression
  • Sum of A.P. and G.P.

Objectives: Candidates should be able to:

  1. Determine the nth term of a progression.
  2. Compute the sum of A.P. and G.P..
  3. Find the sum to infinity of a given G.P.

5. Binary Operations

Topics:

  • Properties of closure, commutativity, associativity, and distributivity
  • Identity and inverse elements (simple cases only)

Objectives: Candidates should be able to:

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

SECTION III: GEOMETRY AND TRIGONOMETRY

1. Euclidean Geometry

Topics:

  • Properties of angles and lines
  • Polygons: triangles, quadrilaterals, and general polygons
  • Circles: angle properties, cyclic quadrilaterals, and intersecting chords
  • Construction

Objectives: Candidates should be able to:

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

2. Mensuration

Topics:

  • 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 perimeters and areas of triangles, quadrilaterals, circles, and composite figures.
  2. Find the length of an arc, a chord, perimeters, and areas of sectors and segments of circles.
  3. Calculate total surface areas and volumes of cuboids, cylinders, cones, pyramids, prisms, spheres, and composite figures.
  4. Determine the distance between two points on the earth’s surface.

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SECTION IV: CALCULUS

1. Differentiation

Topics:

  • Limit of a function
  • Differentiation of explicit algebraic and simple trigonometric functions (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.

2. Application of Differentiation

Topics:

  • Rate of change
  • Maxima and minima

Objective: Candidates should be able to solve problems involving applications of rate of change, maxima, and minima.

SECTION V: STATISTICS

1. Representation of Data

Topics:

  • Frequency distribution
  • Histogram, bar chart, and pie chart

Objectives: Candidates should be able to:

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

2. Probability

Topics:

  • Experimental probability (tossing a coin, throwing a dice, etc.)
  • Addition and multiplication of probabilities (mutual and independent cases)

Objective: Candidates should be able to solve simple problems in probability, including addition and multiplication.

Download JAMB Syllabus For Mathematics

Candidates preparing for the UTME Mathematics examination are encouraged to study from the following recommended textbooks to enhance their understanding and problem-solving skills:

  1. Adelodun A. A (2000) – Distinction in Mathematics: Comprehensive Revision Text (3rd Edition) – Ado-Ekiti: FNPL.
  2. Anyebe, J. A. B (1998) – Basic Mathematics for Senior Secondary Schools and Remedial Students in Higher Institutions – Lagos: Kenny Moore.
  3. Channon, J. B. & Smith, A. M (2001) – New General Mathematics for West Africa SSS 1 to 3 – Lagos: Longman.
  4. David-Osuagwu, M. et al (2000) – New School Mathematics for Senior Secondary Schools – Onitsha: Africana-FIRST Publishers.
  5. Egbe, E. et al (2000) – Further Mathematics – Onitsha: Africana-FIRST Publishers.
  6. Ibude, S. O. et al (2003) – Algebra and Calculus for Schools and Colleges – LINCEL Publishers.
  7. Tuttuh-Adegun M. R. et al (1997) – Further Mathematics Project Books 1 to 3 – Ibadan: NPS Educational.

These books cover essential topics in the syllabus and provide comprehensive explanations, worked examples, and practice questions to help candidates excel in their exams.

ALSO READ: JAMB Syllabus For Physics 2025/2026

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