WAEC Further Maths Questions and Answers 2024 (100% Sure) Theory & Obj Solution

The West African Examinations Council (WAEC) is known for its rigorous examination standards, and the Further Mathematics examination is no exception. This article provides insights into the 2024 WAEC Further Mathematics questions and answers, covering both theory and objective sections. We’ve curated sample questions and detailed solutions to help students prepare effectively.

Overview of WAEC Further Mathematics

Further Mathematics is an advanced level mathematics course designed to deepen students’ understanding of mathematical concepts and techniques. It serves as a preparatory foundation for students planning to pursue higher education in fields such as engineering, physics, and mathematics.

2024 WAEC Further Mathematics Examination Format

The Further Mathematics examination typically consists of two sections:

1. Objective Questions (Section A): This section usually includes multiple-choice questions (MCQs) that test students’ understanding of various mathematical concepts.
2. Theory Questions (Section B): This section requires students to solve complex problems and demonstrate their understanding of advanced mathematical theories.

Sample Questions and Answers

Objective Questions (Section A)

1. Question 1: If f(x)=3×2−5x+4f(x) = 3x^2 – 5x + 4f(x)=3x2−5x+4, find $f(2)$.
   • Solution: f(2)=3(22)−5(2)+4=3(4)−10+4=12−10+4=6f(2) = 3(2^2) – 5(2) + 4 = 3(4) – 10 + 4 = 12 – 10 + 4 = 6f(2)=3(22)−5(2)+4=3(4)−10+4=12−10+4=6
   • Answer: $f(2)=6$
2. Question 2: The roots of the equation x2−6x+8=0x^2 – 6x + 8 = 0x2−6x+8=0 are:
   • Solution: Using the quadratic formula x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 – 4ac}}{2a}x=2a−b±b2−4ac​​: x=6±(−6)2−4(1)(8)2(1)=6±36−322=6±22x = \frac{6 \pm \sqrt{(-6)^2 – 4(1)(8)}}{2(1)} = \frac{6 \pm \sqrt{36 – 32}}{2} = \frac{6 \pm 2}{2}x=2(1)6±(−6)2−4(1)(8)​​=26±36−32​​=26±2​ Thus, $x=4$ or $x=2$.
   • Answer: Roots are $x=4$ and $x=2$.

Theory Questions (Section B)

1. Question 1: Solve the equation 2×2−8x+6=02x^2 – 8x + 6 = 02x2−8x+6=0 using the quadratic formula.
   • Solution: Applying the quadratic formula: x=−(−8)±(−8)2−4(2)(6)2(2)=8±64−484=8±164=8±44x = \frac{-(-8) \pm \sqrt{(-8)^2 – 4(2)(6)}}{2(2)} = \frac{8 \pm \sqrt{64 – 48}}{4} = \frac{8 \pm \sqrt{16}}{4} = \frac{8 \pm 4}{4}x=2(2)−(−8)±(−8)2−4(2)(6)​​=48±64−48​​=48±16​​=48±4​ Therefore, $x=3$ or $x=1$.
   • Answer: $x=3$ and $x=1$.
2. Question 2: A circle has a radius of 7 cm. Calculate the area of the circle.
   • Solution: The area $A$ of a circle is given by the formula A=πr2A = \pi r^2A=πr2: A=π(72)=π(49)≈153.94 cm2A = \pi (7^2) = \pi (49) \approx 153.94 \, \text{cm}^2A=π(72)=π(49)≈153.94cm2
   • Answer: Area is approximately 153.94 cm2153.94 \, \text{cm}^2153.94cm2.

Study Tips for WAEC Further Mathematics

1. Understand the Syllabus: Familiarize yourself with the WAEC syllabus for Further Mathematics to ensure you cover all necessary topics.
2. Practice Regularly: Solve past questions and sample papers to build confidence and improve problem-solving skills.
3. Focus on Weak Areas: Identify areas where you struggle and dedicate more time to practicing those topics.
4. Group Study: Collaborate with classmates to discuss challenging problems and share solutions.
5. Seek Help When Needed: Don’t hesitate to ask teachers or tutors for clarification on complex topics.

Related Article: WAEC Computer Questions and Answers 2023 (100% Sure) Theory & Obj Solution [10th May]

Useful Resources

• WAEC Official Website
• Further Mathematics Past Questions

FAQs

What topics are covered in WAEC Further Mathematics?

• • Topics typically include algebra, calculus, statistics, geometry, and trigonometry.

How can I prepare effectively for the WAEC Further Mathematics exam?

• • Consistent practice, understanding concepts, solving past papers, and group study can enhance preparation.

Are the WAEC Further Mathematics questions difficult?

• • The difficulty level varies; however, with proper preparation, students can perform well.

What is the passing mark for WAEC Further Mathematics?

• • Generally, a score of 50% or higher is considered a pass, but this can vary by institution.

Where can I find past questions for Further Mathematics?

• • Past questions can be found on various educational websites, bookstores, and study resources online.

Conclusion

Preparing for the WAEC Further Mathematics examination requires dedication and strategic study practices. By utilizing the sample questions and solutions provided in this article, students can enhance their understanding and confidence. For further practice, make sure to access the recommended resources and stay focused on your studies. Good luck!