WAEC GCE Further Mathematics 2025 Practice Questions & Ans

Introduction

The WAEC GCE Further Mathematics 2025 examination is designed for students who wish to test their knowledge of advanced mathematical concepts beyond general mathematics. Many students search for WAEC GCE Further Mathematics practice questions and answers because they want to sharpen their problem-solving skills, understand exam patterns, and prepare effectively. WAEC GCE Further Mathematics 2025 Practice Questions and Answers This guide provides carefully selected practice questions with worked answers, alongside study tips to help you prepare confidently. Remember, this is not an expo or exam leakage — it is strictly for educational purposes only in line with WAEC guidelines and Google AdSense policy.

Disclaimer

This content is for study and practice purposes only. It is not in any way intended for malpractice, cheating, or exam leakage. Students are encouraged to use these practice questions as part of their exam preparation strategy.

H2: WAEC GCE Further Mathematics 2025 Exam Structure

The exam usually has two main papers:

Paper 1 (Objectives): Multiple-choice questions covering core areas like algebra, calculus, probability, and mechanics.
Paper 2 (Theory): Structured questions that test problem-solving and deeper understanding of advanced mathematical concepts.

H2: WAEC GCE Further Mathematics 2025 Practice Questions

Below are some sample questions across key topics to guide your preparation.

H3: Algebra & Functions

Question 1:
Solve for $x$ if $2×2–5x–3=02x^2 – 5x – 3 = 0$ .

Answer:
Factorize:
$2×2–5x–3=02x^2 – 5x – 3 = 0$
$(2 x + 1) (x -3) = 0$
So, $-\frac{1}{2}$ or $x = 3$ .

Question 2:
If $2x^2 + 3x – 4$ , find $f (- 2)$ .

Answer:
$f(-2) = 2(-2)^2 + 3(-2) – 4 = 8 – 6 – 4 = -2$ .

H3: Calculus

Question 3:
Differentiate $3x^3 – 5x^2 + 2x$ with respect to $x$ .

Answer:
$dydx=9×2–10x+2\frac{dy}{dx} = 9x^2 – 10x + 2$ .

Question 4:
Find $∫(4×3–2x)dx\int (4x^3 – 2x) dx$ .

Answer:
$∫(4×3–2x)dx=x4–x2+C\int (4x^3 – 2x) dx = x^4 – x^2 + C$ .

H3: Trigonometry

Question 5:
Simplify $sin⁡2θ+cos⁡2θ\sin^2\theta + \cos^2\theta$ .

Answer:
By identity: $sin⁡2θ+cos⁡2θ=1\sin^2\theta + \cos^2\theta = 1$ .

Question 6:
If $tan⁡θ=34\tan\theta = \frac{3}{4}$ , find $sin⁡θ\sin\theta$ and $cos⁡θ\cos\theta$ .

Answer:
Draw a right triangle with opposite = 3, adjacent = 4, hypotenuse = 5.
$sin⁡θ=35,cos⁡θ=45\sin\theta = \frac{3}{5}, \cos\theta = \frac{4}{5}$ .

H3: Mechanics

Question 7:
A particle moves with uniform acceleration of $2m/s^2$ . If initial velocity is $4 m / s$ , find its velocity after 5 seconds.

Answer:
$v = u + a t = 4 + (2) (5) = 14 m / s$ .

Question 8:
A body of mass $10 k g$ is acted upon by a force of $50 N$ . Find its acceleration.

Answer:
$\Rightarrow a = \frac{F}{m} = \frac{50}{10} = 5m/s^2$ .

H3: Probability & Statistics

Question 9:
A box contains 5 red and 3 blue balls. If one ball is chosen at random, find the probability it is blue.

Answer:
Total = 5 + 3 = 8
P(blue) = $38\frac{3}{8}$ .

Question 10:
The mean of 6 numbers is 12. What is their total sum?

Answer:
Mean = $SumNumber\frac{Sum}{Number}$ .
So, $\frac{Sum}{6} \Rightarrow Sum = 72$ .H2: Study Tips for WAEC GCE Further Mathematics 2025

Understand formulas: Don’t just memorize; practice applying them.
Solve past questions: Helps in identifying recurring topics.
Practice daily: At least 1–2 hours of problem-solving.
Use diagrams: Especially in mechanics and geometry.
Time yourself: Improve speed and accuracy before the exam.

H2: Conclusion

Preparing for the WAEC GCE Further Mathematics 2025 requires consistency, practice, and a clear understanding of concepts. The practice questions above are designed to give you confidence and strengthen your problem-solving ability. Remember, success comes from hard work, not shortcuts.

Check Waec Official website here.https://registration.waecdirect.org/

Stay focused, keep practicing, and you will excel!