WAEC General Mathematics / Mathematics (Core) Syllabus

Every section, topic and candidate objective in the official WAEC General Mathematics / Mathematics (Core) outline — 4 sections, 4 topics and 4 objectives.

Sections
4sections
Topics
4topics
Objectives
4objectives
Category
Sciencescategory
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Syllabus sections

4 sections

Tap a section to open it, then tap a topic to see its content and objectives.

1

Section A: Number and Numeration

1 topic · 1 objective
1

Number Bases, Modular Arithmetic, Fractions, Indices, Logarithms, Sets, Logic, Surds, Matrices, Ratios, Percentages, and Financial Arithmetic

1 content item · 1 objective

Content

Base conversions, modulo operations, fractions/decimals, standard form, laws of indices, logarithm tables, set operations, Venn diagrams, logical statements, simple surd operations, 2x2 matrices, ratios, proportions, financial calculations, variations

Objective

Convert between number bases and perform basic base arithmetic; solve modular arithmetic problems; apply approximation and significant figures; evaluate expressions using laws of indices and logarithms; solve set problems using Venn diagrams; evaluate logical statements; simplify and rationalize simple surds; perform $2\times2$ matrix operations and determinants; calculate ratios, rates, simple/compound interest, depreciation, annuities, and variation problems.

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2

Section B: Algebraic Processes

1 topic · 1 objective
1

Algebraic Expressions, Linear/Quadratic Equations, Subject of Formula, Inequalities, Fractions, and Functions

1 content item · 1 objective

Content

Algebraic formulation, expansion, factorization, binary operations, linear equations, simultaneous linear equations, formula subject change, quadratic factorization/formula, graphs of quadratic functions, linear inequalities, algebraic fractions, mapping functions

Objective

Formulate, expand, and factorize algebraic expressions; execute binary operations; solve linear and simultaneous linear equations; change the subject of a formula; solve quadratic equations by factoring, completing the square, or formula; plot linear and quadratic graphs to obtain roots and gradients; solve linear inequalities in 1 or 2 variables; simplify algebraic fractions; identify mappings and function rules.

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3

Section C: Mensuration & Geometry

1 topic · 1 objective
1

Mensuration, Plane Geometry, Geometric Constructions, Loci, and Coordinate Geometry

1 content item · 1 objective

Content

Perimeters, arc lengths, areas of plane shapes/sectors, surface areas and volumes of 3D solids (cubes, cylinders, cones, spheres), latitude/longitude, angle properties, parallel lines, triangle/polygon properties, circle theorems, geometric constructions, 2D loci, straight line coordinate geometry

Objective

Calculate arc lengths, perimeters, plane areas, and 3D surface areas/volumes; calculate distances along latitudes and longitudes; apply geometric angle rules, triangle congruence, polygon sum of angles, and circle theorems; construct bisectors, angles, triangles, and quadrilaterals; determine 2D loci intersections; calculate line midpoints, distances, gradients, and straight line equations.

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4

Section D: Trigonometry, Calculus, Statistics, Probability, Vectors & Transformations

1 topic · 1 objective
1

Trigonometric Ratios, Bearings, Introductory Calculus, Statistics, Probability, Vectors, and Transformations

1 content item · 1 objective

Content

Sine/Cosine/Tangent ratios, trigonometric graphs, angles of elevation/depression, bearings, basic differentiation/integration, frequency tables, Ogives, mean/median/mode, standard deviation, classical probability, vector operations, Cartesian transformations

Objective

Apply basic trigonometric ratios ($30^\circ, 45^\circ, 60^\circ$) and solve elevation/depression/bearing problems; differentiate basic algebraic functions and evaluate simple definite integrals; construct frequency tables, histograms, pie charts, and Ogives; calculate measures of central tendency and dispersion (range, mean deviation, standard deviation); calculate simple and compound probabilities; represent vectors and perform vector operations; execute Cartesian reflections, rotations, translations, and enlargements.

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