Mathematicsfor WAEC & JAMB
The complete Mathematics curriculum for Nigerian senior secondary, SS1 through SS2 and WAEC, mapped topic by topic (24 topics with their subtopics). Study each topic, then take a timed CBT of real past questions with worked solutions on PrepAssure.
Mathematics: SS1
Number Systems & Numerical Foundations
- Number Bases (Conversion and Operations)
- Modular Arithmetic (Clock Problems, Cyclic Patterns)
- Fractions, Decimals, and Approximations
- Significant Figures and Estimation Techniques
Indices and Logarithms
- Laws of Indices (Positive, Negative, Fractional Powers)
- Introduction to Logarithms
- Relationship Between Indices and Logarithms
- Basic Logarithm Laws
Algebraic Expressions & Operations
- Formation and Simplification of Algebraic Expressions
- Expansion and Factorization (Basic Forms)
- Difference of Two Squares
- Simple Quadratic Expressions
Sets and Basic Logic
- Set Notation and Types of Sets
- Venn Diagrams (Up to 3 Sets)
- Basic Set Operations (Union, Intersection, Complement)
- Applications of Sets in Problem Solving
Equations and Inequalities
- Linear Equations in One and Two Variables
- Simultaneous Equations (Substitution and Elimination)
- Linear Inequalities and Number Line Representation
- Word Problems Involving Equations
Ratio, Proportion & Percentages
- Direct and Inverse Proportion
- Partitive Proportion and Rates
- Percentages, Profit and Loss
- Discount, Commission, VAT
- Simple and Compound Interest (Basic)
Mensuration (Geometry of Measurement)
- Perimeter and Area of Plane Shapes
- Circles, Sectors, Trapeziums, and Composite Figures
- Surface Area of Cubes, Cuboids, Cylinders
- Volume of Solids (Cube, Cuboid, Cylinder)
Statistics (Basic Data Handling)
- Data Collection and Frequency Tables
- Mean, Median, Mode (Ungrouped Data)
- Bar Charts, Pie Charts, Histograms (Basic Interpretation)
Mathematics: SS2
Quadratic Expressions and Functions
- Solving Quadratic Equations (Factorization, Formula, Completing Square)
- Word Problems Leading to Quadratics
- Quadratic Graphs (Plotting and Interpretation)
- Maximum and Minimum Values
Algebraic Fractions & Variation
- Simplification of Algebraic Fractions
- Operations on Algebraic Fractions
- Equations Involving Fractions
- Direct, Inverse, Joint and Partial Variation
Logical Reasoning & Mathematical Thinking
- Statements and Truth Values
- Negation, Implication, Converse, Inverse, Contrapositive
- Basic Logical Deductions
Plane Geometry (Lines and Angles)
- Angles at a Point and on a Line
- Parallel Lines and Angle Properties
- Alternate, Corresponding and Interior Angles
- Intercept Theorem
Triangles, Polygons & Quadrilaterals
- Angle Properties of Triangles
- Congruence and Similarity (SSS, SAS, ASA, RHS)
- Polygon Angle Sums
- Properties of Quadrilaterals (Parallelogram, Rhombus, Trapezium, etc.)
Circle Geometry
- Chords and Perpendicular Bisectors
- Angle Properties (Centre, Circumference, Semicircle)
- Cyclic Quadrilaterals
- Tangents and Radii
- Alternate Segment Theorem
Constructions and Loci
- Construction of Triangles and Quadrilaterals
- Angle and Perpendicular Bisectors
- Locus of Points (Equidistant Conditions)
Coordinate Geometry (Introduction)
- Cartesian Plane and Plotting Points
- Distance and Midpoint Formulas
- Gradient of a Line
- Equation of Straight Lines
- Parallel and Perpendicular Lines
Statistics (Advanced Introduction)
- Grouped Data and Frequency Tables
- Mean (Assumed Mean Method)
- Median and Mode (Graphs and Histograms)
- Cumulative Frequency (Ogive)
- Basic Spread: Range, Quartiles
Probability (Basic Concepts)
- Experimental vs Theoretical Probability
- Probability Scale (0 to 1)
- Simple Addition and Multiplication Rules
- Mutually Exclusive and Independent Events
Mathematics: SS3 / WAEC
Sequences and Series
- Arithmetic Progression (AP): nth Term and Sum
- Geometric Progression (GP): nth Term and Sum
- Sum to Infinity (|r| < 1)
- Real-Life Applications (Finance, Population Growth)
Indices, Logarithms & Surds
- Advanced Laws of Indices
- Solving Exponential Equations
- Logarithms of Numbers Less Than 1
- Logarithm Tables (Multiplication, Division, Powers)
- Surds and Rationalization (Monomial and Binomial)
Commercial Mathematics
- Simple and Compound Interest (Including Compounding Periods)
- Depreciation and Hire Purchase
- Income Tax and Exchange Rates
- Shares, Bonds and Debentures
- Basic Annuities and Financial Interpretation
Trigonometry (Advanced)
- Trigonometric Ratios (0, 30, 45, 60, 90 degrees)
- Angles of Elevation and Depression
- Bearings and Navigation Problems
- Sine and Cosine Rules (Basic Applications)
- Graphs of Sine and Cosine Functions
- Trigonometric Equations (Basic Solutions)
Introductory Calculus
- Concept of Differentiation
- Derivatives of Algebraic Functions
- Gradient of Curves
- Turning Points (Maxima and Minima)
- Rates of Change Problems
- Integration (Reverse of Differentiation)
- Area Under Curve (Basic Problems)
Vectors and Transformations
- Vector Representation and Magnitude
- Addition, Subtraction, Scalar Multiplication
- Parallel Vectors and Position Vectors
- Reflection (Lines and Axes)
- Rotation (About Origin and Points)
- Translation Using Vectors
- Enlargement (Scale Factor and Centre)
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