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O-Level Mathematics Syllabus Outline
This is a general O-Level Mathematics syllabus, covering key topics typically examined in Cambridge O-Level, WAEC, or other equivalent curricula.

1. Numbers & Operations
Types of Numbers (Natural, Integers, Rational, Irrational, Real)
Factors, Multiples, LCM, HCF
Prime Numbers & Prime Factorization
Standard Form (Scientific Notation)
Laws of Indices
Ratio, Proportion & Direct/Inverse Variation
Approximation & Estimation
Significant Figures & Decimal Places
2. Algebra
Algebraic Expressions & Simplification
Expanding & Factorizing Algebraic Expressions
Linear Equations & Inequalities
Simultaneous Equations (Linear & Quadratic)
Quadratic Equations (Factorization, Completing the Square, Quadratic Formula)
Algebraic Fractions & Partial Fractions
Functions & Graphs
Sequences & Progressions (Arithmetic & Geometric)
3. Geometry & Mensuration
Angles & Lines (Parallel Lines, Angle Properties)
Triangles, Quadrilaterals & Polygons
Circle Theorems
Congruence & Similarity
Coordinate Geometry (Midpoint, Distance, Gradient)
Transformations (Reflection, Rotation, Translation, Enlargement)
Perimeter, Area & Volume of 2D & 3D Shapes
Trigonometry (Sine, Cosine, Tangent, Pythagoras’ Theorem)
4. Functions & Graphs
Cartesian Coordinates & Graph Plotting
Linear, Quadratic & Exponential Graphs
Gradient & Intercepts
Equation of a Straight Line (y = mx + c)
Graphical Solutions to Equations
5. Statistics & Probability
Data Collection & Presentation (Bar Charts, Pie Charts, Histograms)
Measures of Central Tendency (Mean, Median, Mode)
Measures of Dispersion (Range, Interquartile Range, Variance, Standard Deviation)
Probability Concepts (Theoretical & Experimental Probability)
Probability Laws (Addition & Multiplication Rules)
6. Vectors & Matrices
Vector Representation & Notation
Addition, Subtraction & Scalar Multiplication of Vectors
Magnitude & Direction of a Vector
Vector Geometry (Collinearity, Midpoints, Parallel Vectors)
Matrices (Addition, Subtraction, Multiplication)
Determinants & Inverses of 2×2 Matrices
7. Differentiation & Integration (Calculus – Some Syllabi Only)
Gradient of a Curve & Differentiation from First Principles
Rules of Differentiation (Power Rule, Product Rule, Quotient Rule)
Applications of Differentiation (Tangents, Normals, Rates of Change)
Basic Integration & Area Under a Curve
8. Logical Reasoning & Sets
Set Notation & Venn Diagrams
Union, Intersection & Complement of Sets
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