Would you like to know the exact topics in the syllabus where all your WAEC Further Mathematics questions will come from?

*In this Library…*

You will see and download your current WAEC syllabus for Further Mathematics theory and objective examination for SSCE and GCE this year.

#### ALSO SEE: WAEC Syllabus For All Other Subjects In SSCE and GCE

*Take note.*

There will be two papers, Papers 1 and 2, both of which must be taken.

**PAPER 1:** will consist of forty multiple-choice objective questions, covering the entire syllabus. Candidates will be

required to answer all questions in 1 hours for 40 marks. The questions will be drawn from the sections of the syllabus as follows:

- Pure Mathematics – 30 questions
- Statistics and probability – 4 questions
- Vectors and Mechanics – 6 questions

**PAPER 2:** will consist of two sections, Sections A and B, to be answered in 2 hours for 100 marks.

- Section
**A**: will consist of eight compulsory questions that are elementary in type for 48 marks. The questions shall be distributed as follows:- Pure Mathematics – 4 questions

- Statistics and Probability – 2 questions

- Vectors and Mechanics – 2 questions

- Section
**B**: Will consist of seven questions of greater length and difficulty put into three parts: Parts I, II and III as follows:- Part I:
*Pure Mathematics*– 3 questions - Part II:
*Statistics and Probability*– 2 questions - Part III:
*Vectors and Mechanics*– 2 questions

- Part I:

Candidates will be required to answer four questions with at least one from each part for 52 marks.

## WAEC Further Mathematics syllabus

The PDF version of this WAEC syllabus for Further Mathematics is available for your free download at the bottom of this Library.

### Pure Mathematics

1. **Sets**

- Idea of a set defined by a property, Set notations and their meanings.
- Disjoint sets, Universal set and complement of set
- Venn diagrams, Use of sets and Venn diagrams to solve problems.
- Commutative and Associative laws, Distributive properties over union and intersection.

2. **Surd**

- Surds of the form, a/√b, a√b and a+b√n where a is rational, b is a positive integer and n is not a perfect square.

3. **Binary Operations**

- Properties
- Closure,
- Commutativity,
- Associativity and Distributivity,
- Identity elements and inverses.

4. **Logical Reasoning**

- Rule of syntax:
- true or false statements,
- rule of logic applied to arguments,
- implications and deductions.

- The truth table

5. **Functions**

- Domain and co-domain of a function
- One-to-one, onto, identity and constant mapping.
- Inverse of a function
- Composite of functions

6. **Polynomial Functions**

- Linear Functions, Equations and Inequality
- Quadratic functions, Equations and Inequality
- Cubic functions and equations

7. **Rational Functions**

- Rational functions of the form Q(x) = f(x)/g(x), g(x) ≠ 0 where g(x) and f(x) are polynomials.
- Resolution of rational functions into partial fractions

8. **Indices and Logarithmic Functions**

- Indices
- Logarithm

9. **Permutation And Combinations**

- Simple cases of arrangements
- Simple case of selection of objects

10. **Binomial Theorem**

- Expansion of (a + b)n. Use of (1+x)n ≈ 1+nx for any rational n, where x is sufficiently small. e.g (0.998)
^{1/3}

11. **Sequences and Series**

- Finite and Infinite sequences
- Linear sequence/Arithmetic Progression (A.P.)
- Exponential sequence/Geometric Progression (G.P)

12. **Matrices and Linear Transformation**

- Matrices
- Determinants
- Inverse of 2×2 matrices
- Linear transformation

13. **Trigonometry**

- Trigonometric Ratios and Rules
- Compound and Multiple angles
- Trigonometric Functions and Equations

14. **Coordinate Geometry**

- Straight line
- Conic section

15. **Differentiation**

- The idea of a limit
- Derivative of a function
- Differentiation of polynomial
- Differentiation of Trigonometric functions
- Product and Quotient rule.
- Differentiation of implicit functions such as ax
^{2}+ by^{2}= c - Differentiation of Transcendental functions
- Second order derivatives and rates of changes and small changes
- Concept of Maxima and Minima

16. **Integration**

- Indefinite integral
- Definite integral
- Applications of the Definite Integral

### Statistics and Probability

17. **Statistics**

- Tabulation and Graphical representation of data
- Measures of location
- Measures of dispersion
- Correlation

18. **Probability**

- Meaning of Probability
- Relative frequency
- Calculation of Probability using simple sample spaces
- Addition and multiplication of probabilities
- Probability distributions

### Vectors and Mechanics

19. **Vectors**

- Definitions of scalar and vector Quantities.
- Representation of vectors
- Algebra of vectors
- Cumulative, Associative and Distributive properties
- Unit vectors
- Position vectors
- Resolution and composition of vectors
- Scalar (dot) product and its application
- Vector (cross) product and its application

20. **Statics**

- Definition of force
- Representation of forces
- Composition and resolution of coplanar forces acting at a point.
- Composition and resolution of general coplanar forces on a rigid bodies
- Equilibrium of bodies
- Determinant of resultants
- Moment of forces
- Friction

21. **Dynamics**

- The concepts of motion
- Equations of motion
- The impulse and momentum equations
- Projectiles

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