WAEC GCE Mathematics 2026 Revision Guide: Formulas, Topics and Areas of Concentration

WAEC GCE Mathematics 2026 Revision Guide is designed to help candidates prepare systematically for the West African Examinations Council (WAEC) General Mathematics examination. It covers the major topics, important formulas, examination format and key areas contained in the official Mathematics (Core)/General Mathematics syllabus.

The WAEC syllabus explains that the examination is designed to test candidates’ computational skills, understanding of mathematical concepts and their applications, ability to translate problems into mathematical language, accuracy and logical thinking.

Therefore, candidates preparing for the 2026 WAEC GCE Mathematics examination should not rely only on memorising formulas. You should also understand how to apply the formulas to calculations, word problems, graphs, geometry, statistics and other practical situations.

In this guide, you will find the WAEC GCE Mathematics 2026 topics, important formulas, areas to revise, examination format, revision checklist and preparation tips.

Also Read: 2026 WAEC GCE Mathematics Questions And Answers

WAEC GCE Mathematics 2026 Examination Format

According to the WAEC Mathematics (Core)/General Mathematics syllabus, candidates are required to take two papers: Paper 1 and Paper 2. Both papers must be taken.

Paper 1

  • Duration: 1½ hours
  • Contains 50 multiple-choice questions.
  • Carries 50 marks.
  • The questions test the syllabus except sections marked with an asterisk.
  • Candidates are expected to answer all the questions.

Paper 2

  • Duration: 2½ hours.
  • Carries 100 marks.
  • Part I carries 40 marks and contains five compulsory elementary questions.
  • Part II carries 60 marks and contains ten longer and more difficult questions.
  • Candidates are expected to answer any five questions in Part II.

The syllabus also states that questions from sections marked with an asterisk are tested only as options in Part II of Paper 2. Candidates should therefore pay attention to the symbols used in the syllabus when planning their revision.

WAEC GCE Mathematics 2026 Areas of Concentration

The areas below are taken from the Mathematics (Core)/General Mathematics syllabus. They should be used as a revision guide rather than as a prediction of the exact questions that will appear in the examination.

1. Number and Numeration

Number and Numeration is one of the major sections of the Mathematics syllabus. Candidates should revise the following topics:

  • Number bases
  • Binary numbers
  • Fractions
  • Decimals
  • Approximations
  • Significant figures
  • Indices
  • Standard form
  • Logarithms
  • Sequences
  • Arithmetic Progression (A.P.)
  • Geometric Progression (G.P.)
  • Sets and Venn diagrams
  • Positive and negative integers
  • Rational numbers
  • Surds
  • Ratio, proportion and rates
  • Variation
  • Percentages

The syllabus also includes applications involving financial partnerships, rates of work, costs, taxes, foreign exchange, density, mass, distance, time and speed. Percentage applications include simple interest, commission, discount, depreciation, profit and loss, compound interest and hire purchase.

2. Algebraic Processes

Algebra is another important part of the Mathematics syllabus. Candidates should revise how to translate statements into algebraic expressions and how to manipulate and solve algebraic problems.

  • Algebraic expressions
  • Expansion
  • Factorisation
  • Difference of two squares
  • Linear equations
  • Simultaneous linear equations
  • Change of subject of a formula
  • Substitution
  • Quadratic equations
  • Graphs of linear and quadratic functions
  • Linear inequalities
  • Algebraic fractions

The syllabus specifically includes expansion and factorisation, including expressions such as quadratic expressions and the difference of two squares. It also covers linear and simultaneous equations and quadratic equations.

3. Graphs of Linear and Quadratic Functions

Graph questions require candidates to understand coordinates, tables of values and the relationship between equations and their graphical representations.

Revise:

  • Coordinates of points
  • Tables of values
  • Linear graphs
  • Quadratic graphs
  • Roots from graphs
  • Graphical solution of simultaneous equations
  • Gradient of a line
  • Equation of a straight line
  • Intercepts on the axes
  • Maximum and minimum points
  • Axis of symmetry
  • Tangents to curves
  • Recognition of sketched graphs

The syllabus gives the gradient of a line joining two points as the difference in the y-coordinates divided by the difference in the x-coordinates. It also identifies the forms y = mx + c and y − y₁ = m(x − x₁) for equations of straight lines.

4. Mensuration

Mensuration deals with the measurement of lengths, perimeters, areas, surface areas and volumes. Candidates should revise both formulas and practical applications.

Lengths and Perimeters

  • Pythagoras’ theorem
  • Sine rule
  • Cosine rule
  • Lengths of arcs
  • Perimeters of sectors
  • Perimeters of segments

Areas

  • Triangles
  • Rectangles
  • Parallelograms
  • Trapezia
  • Circles
  • Sectors
  • Segments of circles
  • Surface areas of solids
  • Areas of similar figures
  • Compound shapes

Volumes

  • Cube
  • Cuboid
  • Cylinder
  • Cone
  • Right pyramid
  • Similar solids
  • Compound solids

These areas are included in the Mensuration section of the syllabus.

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Important WAEC GCE Mathematics 2026 Formulas

Memorising important formulas can make revision easier, but candidates should also practise applying each formula to different types of questions.

Algebra Formulas

  • Difference of two squares: a² − b² = (a + b)(a − b)
  • Gradient: m = (y₂ − y₁)/(x₂ − x₁)
  • Equation of a straight line: y = mx + c
  • Point-slope form: y − y₁ = m(x − x₁)

For quadratic equations, candidates should be familiar with solving equations through the methods specified in the syllabus, including factorisation and, where applicable, completing the square and the quadratic formula.

Mensuration Formulas

  • Area of triangle: ½ × base × height
  • Area of circle: πr²
  • Circumference of circle: 2πr
  • Volume of cuboid: length × width × height
  • Volume of cylinder: πr²h

The syllabus also includes the area of a triangle using ½ab sin C and areas and volumes of several other two-dimensional and three-dimensional shapes.

Trigonometry Formulas

Candidates should understand the three basic trigonometric ratios:

  • sin θ = opposite / hypotenuse
  • cos θ = adjacent / hypotenuse
  • tan θ = opposite / adjacent

Also revise the sine rule, cosine rule and applications of trigonometry to heights, distances, bearings, angles of elevation and angles of depression. These applications are included in the syllabus.

Statistics Formulas and Concepts

Revise:

  • Mean
  • Median
  • Mode
  • Range
  • Interquartile range
  • Mean deviation
  • Standard deviation
  • Quartiles
  • Percentiles

The syllabus covers statistical data presented through frequency distributions, pie charts, bar charts, histograms, frequency polygons and cumulative frequency curves.

Probability

Candidates should revise:

  • Experimental probability
  • Theoretical probability
  • Mutually exclusive events
  • Independent events
  • Addition of probabilities
  • Multiplication of probabilities
  • Interpretation of “and” and “or” in probability

The syllabus specifies simple practical problems involving equally likely events and independent events.

Plane Geometry Topics to Revise

Plane Geometry covers a wide range of relationships involving angles, triangles, quadrilaterals, polygons and circles.

Angles

  • Angles at a point
  • Angles on a straight line
  • Vertically opposite angles
  • Acute, obtuse and reflex angles

Parallel Lines

  • Alternate angles
  • Corresponding angles
  • Interior opposite angles
  • Intercept theorem

Triangles and Polygons

  • Sum of angles in a triangle
  • Exterior angle of a triangle
  • Congruent triangles
  • Isosceles triangles
  • Equilateral triangles
  • Right-angled triangles
  • Parallelograms
  • Rhombus
  • Rectangle
  • Square
  • Trapezium
  • Similar triangles
  • Angles of polygons
  • Exterior angles of polygons

Circle Geometry

  • Chords
  • Angles subtended at the centre
  • Angles subtended at the circumference
  • Angles in the same segment
  • Angles in opposite segments
  • Perpendicularity of tangent and radius
  • Alternate segment theorem

The WAEC syllabus lists these standard geometry relationships and notes that formal proofs of the stated theorems are generally not required, although proofs based on the theorems may be tested.

Construction and Loci

Candidates should also practise construction questions using appropriate mathematical instruments.

Construction Topics

  • Bisectors of angles
  • Bisectors of line segments
  • Parallel lines
  • Perpendicular lines
  • Construction of 90°, 60°, 45° and 30° angles
  • Construction of an angle equal to a given angle
  • Construction of triangles
  • Construction of quadrilaterals

Loci

  • Points at a given distance from a given point
  • Points equidistant from two given points
  • Points equidistant from two given straight lines
  • Points at a given distance from a given straight line
  • Intersections of loci

These construction and loci requirements are included in the syllabus.

WAEC GCE Mathematics 2026 Trigonometry Topics

Trigonometry is an important area to practise because it involves both calculations and applications.

  • Sine, cosine and tangent
  • Trigonometric ratios of 30°, 45° and 60°
  • Angles of elevation
  • Angles of depression
  • Bearings
  • Heights and distances
  • Sine rule
  • Cosine rule
  • Trigonometric tables
  • Sine and cosine graphs
  • Trigonometric ratios from 0° to 360°

The syllabus identifies some of these areas as asterisked topics, meaning they are tested only in the relevant optional section of Paper 2.

WAEC GCE Mathematics 2026 Statistics and Probability

Statistics Topics

  • Frequency distribution
  • Pie charts
  • Bar charts
  • Histograms
  • Frequency polygons
  • Mean
  • Median
  • Mode
  • Cumulative frequency curves
  • Quartiles
  • Percentiles
  • Range
  • Interquartile range
  • Mean deviation
  • Standard deviation

Candidates should practise interpreting information presented in tables and graphs, as the syllabus includes reading and drawing simple inferences from statistical diagrams.

Probability Topics

  • Experimental probability
  • Theoretical probability
  • Mutually exclusive events
  • Independent events
  • Addition of probabilities
  • Multiplication of probabilities
  • Equally likely events

Vectors and Transformations

Vectors and Transformations are included in the syllabus under the section on vectors and transformations in a plane.

Vectors

  • Directed line segments
  • Magnitude of vectors
  • Equal vectors
  • Sum and difference of vectors
  • Parallel vectors
  • Scalar multiplication
  • Cartesian components
  • Column notation

Transformations

  • Reflection
  • Rotation
  • Translation
  • Reflection in the x-axis and y-axis
  • Reflection in lines such as x = k and y = k
  • Rotation about the origin
  • Translation vectors

The syllabus places emphasis on graphical representation of vectors and includes reflection, rotation and translation in the Cartesian coordinate plane.

Mathematics Tables, Calculator and Instruments for the Examination

Candidates should know the materials permitted and required for the examination. The syllabus states that WAEC mathematical and statistical tables should be used for papers involving mathematical calculations.

A non-programmable, silent and cordless calculator is allowed, provided it does not have a paper printout. However, some questions may prohibit the use of tables and/or calculators. Slide rules are not allowed.

Candidates should also come with:

  • Ruler
  • Protractor
  • Pair of compasses
  • Set squares

The syllabus states that candidates will not be allowed to borrow these instruments or other materials from other candidates in the examination hall. Graph paper ruled in 2 mm squares will be provided where required.

Important Units to Revise

Understanding units is important when solving practical Mathematics questions. The syllabus includes the following units and conversions:

Measurement Conversion
Length 1,000 metres = 1 kilometre
Length 100 centimetres = 1 metre
Area 10,000 square metres = 1 hectare
Capacity 1,000 cubic centimetres = 1 litre
Mass 1,000 milligrammes = 1 gramme
Mass 1,000 grammes = 1 kilogramme

The syllabus also provides currency units for countries covered by the examination, including Nigeria, where 100 kobo equals one naira.

How to Use This WAEC GCE Mathematics 2026 Revision Guide

To get the most from this guide, candidates should avoid trying to study everything at once. Break the syllabus into manageable sections and practise each topic regularly.

  1. Start by reviewing the complete Mathematics syllabus.
  2. Study one major topic at a time.
  3. Write down important formulas in a revision notebook.
  4. Practise questions immediately after learning each topic.
  5. Work through word problems carefully.
  6. Practise drawing graphs accurately.
  7. Revise geometry theorems and constructions.
  8. Practise using mathematical tables.
  9. Practise with a permitted calculator where applicable.
  10. Review your mistakes and repeat questions you previously got wrong.
  11. Practise under timed conditions before the examination.

WAEC GCE Mathematics 2026 Revision Checklist

Use this checklist to monitor your preparation:

  • ☐ Number bases
  • ☐ Fractions and decimals
  • ☐ Approximations and significant figures
  • ☐ Indices and standard form
  • ☐ Logarithms
  • ☐ Sequences
  • ☐ Sets and Venn diagrams
  • ☐ Surds
  • ☐ Ratio, proportion and rates
  • ☐ Variation
  • ☐ Percentages
  • ☐ Algebraic expressions
  • ☐ Expansion and factorisation
  • ☐ Linear equations
  • ☐ Simultaneous equations
  • ☐ Change of subject of formula
  • ☐ Quadratic equations
  • ☐ Linear and quadratic graphs
  • ☐ Linear inequalities
  • ☐ Algebraic fractions
  • ☐ Mensuration
  • ☐ Plane geometry
  • ☐ Circles
  • ☐ Construction
  • ☐ Loci
  • ☐ Trigonometry
  • ☐ Bearings
  • ☐ Statistics
  • ☐ Probability
  • ☐ Vectors
  • ☐ Transformations

Revision tips

Successful Mathematics preparation requires more than memorising formulas. Candidates should understand the meaning of each formula and practise applying it to different types of questions.

  • Practise Mathematics every day during your revision period.
  • Do not skip topics because they appear difficult.
  • Pay close attention to units in word problems.
  • Show your working clearly when solving calculation questions.
  • Check your signs, decimal places and calculations.
  • Practise graphs using appropriate scales.
  • Revise geometry diagrams and constructions.
  • Practise statistics questions involving tables and graphs.
  • Learn how to use the permitted mathematical tables.
  • Practise previous examination questions under timed conditions.

Important: This revision guide is based on the WAEC Mathematics (Core)/General Mathematics syllabus. The listed areas should be used for systematic revision and should not be treated as a prediction of the exact questions that will appear in the 2026 examination.

Also Read: WAEC Syllabus For Mathematics 2026 Free PDF Download

Conclusion

The WAEC GCE Mathematics 2026 Revision Guide covers the major areas candidates should revise from the official Mathematics (Core)/General Mathematics syllabus. These include Number and Numeration, Algebraic Processes, Mensuration, Plane Geometry, Trigonometry, Statistics, Probability, Vectors and Transformations.

Candidates should combine this guide with regular practice, past questions, mathematical tables and the complete WAEC syllabus. Focus on understanding the methods used to solve problems rather than simply memorising answers.

With consistent revision and enough practice, you can build the mathematical skills needed to approach both Paper 1 and Paper 2 with greater confidence.