WAEC GCE Further Mathematics Syllabus 2025/2026

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2026/2027 WAEC/WASSCE Syllabus

WAEC GCE Further Mathematics Syllabus 2025/2026

The 2025/2026 WAEC GCE Further Mathematics syllabus includes advanced topics in Pure Mathematics, Statistics & Probability, and Vectors & Mechanics. Candidates will write two papers: multiple-choice and structured essay questions.

This syllabus is designed for candidates preparing for the West African Senior School Certificate Examination (WASSCE) for Private Candidates (GCE). It bridges the gap between elementary mathematics and higher-level mathematical concepts, ideal for students pursuing careers in engineering, science, and technology.

Scheme of Examination

Paper 1: Objective (40 marks)

  • 40 multiple-choice questions
  • Duration: 1 hour
  • Distribution:
    • Pure Mathematics – 30 questions
    • Statistics & Probability – 4 questions
    • Vectors & Mechanics – 6 questions

Paper 2: Theory (100 marks)

  • Duration: 2 hours
  • Section A: 8 compulsory short-answer questions (48 marks)
    • Pure Mathematics – 4 questions
    • Statistics & Probability – 2 questions
    • Vectors & Mechanics – 2 questions
  • Section B: 7 long-answer questions; answer 4 (52 marks)
    • Part I: Pure Mathematics – 3 questions
    • Part II: Statistics & Probability – 2 questions
    • Part III: Vectors & Mechanics – 2 questions

Core Syllabus Topics

I. Pure Mathematics

  • Sets and Venn diagrams
  • Surds and indices
  • Binary operations
  • Logical reasoning and truth tables
  • Functions and mappings
  • Polynomial and rational functions
  • Sequences and series
  • Permutations and combinations
  • Binomial theorem
  • Matrices and linear transformations
  • Trigonometry and identities
  • Coordinate geometry
  • Differentiation and applications
  • Integration and applications

II. Statistics and Probability

  • Data presentation and interpretation
  • Measures of central tendency and dispersion
  • Probability theory and tree diagrams
  • Binomial and normal distributions

III. Vectors and Mechanics

  • Vector operations and applications
  • Statics: forces, equilibrium, moments
  • Dynamics: motion, velocity, acceleration, Newton’s laws

Sample Questions

Objective Example:
If ( f(x) = x^2 – 3x + 2 ), what is ( f(2) )?

  1. 0
  2. 2
  3. 4
  4. 6
    Answer: A. 0

Theory Example:
Find the derivative of ( y = 3x3 – 5x2 + 2x – 7 ) and determine the turning points.
Answer Tip: Differentiate, set ( dy/dx = 0 ), solve for x, and classify using second derivative.

Mechanics Example:
A particle of mass 2 kg is acted upon by a force of 10 N. Find its acceleration.
Answer:
Using Newton’s second law: ( F = ma )
( a = F/m = 10/2 = 5 , m/s^2 )

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