WAEC Further Mathematics Questions and Answers 2023
by Aishwarya R
Updated May 31, 2023
WAEC Further Mathematics Exam 2023
WAEC Further Mathematics is an examination offered by the West African Examinations Council (WAEC) to assess students' understanding and proficiency in advanced mathematical concepts. It is typically taken by students in West African countries such as Nigeria, Ghana, Sierra Leone, The Gambia, and Liberia. The Further Mathematics syllabus is designed to build upon the core mathematics curriculum and delve into more advanced topics.
It covers a wide range of mathematical concepts and techniques that are essential for students pursuing careers in mathematics, engineering, computer science, and other related fields. The topics covered in the WAEC Further Mathematics syllabus include calculus, matrices and determinants, complex numbers, vectors, statistics, probability theory, mechanics, and elementary number theory. These topics provide students with a solid foundation in mathematical principles and problem-solving skills.
The examination format for WAEC Further Mathematics typically consists of multiple-choice questions, short answer questions, and longer, more in-depth problems that require students to apply their knowledge and skills to solve complex mathematical problems. The exam aims to test students' understanding of concepts, their ability to apply mathematical principles to real-world situations, and their problem-solving skills.
To prepare for the WAEC Further Mathematics exam, students are encouraged to study the recommended textbooks, practice past exam papers, and engage in regular revision. Working through sample questions and seeking guidance from teachers or tutors can also be beneficial in preparing for the exam.
Successfully passing the WAEC Further Mathematics exam demonstrates a student's proficiency in advanced mathematical concepts and can open doors to higher education opportunities and career paths that require a strong mathematical foundation.
WAEC Further Mathematics Questions and Answers 2023
Further Mathematics is a subject that covers advanced topics in mathematics beyond the core mathematics curriculum. It includes topics such as calculus, matrices and determinants, complex numbers, vectors, statistics, and probability theory, among others. To prepare for the WAEC Further Mathematics exam, it is advisable to study the recommended textbooks, practice past exam papers, and work through sample questions.
Additionally, seeking guidance from teachers, tutors, or online resources that provide further mathematics study materials can be helpful in preparing for the exam. The difficulty of the WAEC Further Mathematics exam can vary from student to student. For some students, it may be perceived as a challenging exam due to the advanced mathematical concepts and problem-solving skills required. However, with proper preparation, study, and practice, it is certainly possible to perform well in the exam.
The WAEC Further Mathematics syllabus covers topics that go beyond the core mathematics curriculum, introducing students to complex areas such as calculus, matrices, complex numbers, vectors, statistics, probability theory, mechanics, and more. These topics can be challenging for students who are not familiar with them or who have not had extensive practice in applying these concepts.
To excel in the exam, it is essential for students to have a strong foundation in core mathematics and a clear understanding of the advanced topics covered in Further Mathematics. Consistent study, practice with a variety of problem types, and working through past exam papers can help students develop the necessary skills and familiarity with the subject.
Samples of WAEC Further Mathematics Questions and Answers
Paper 1
Question 1
The equation of a circle is x^2 + y^2 - 4x - 6y + 9 = 0. Find the center and radius of the circle.
Answer:
The equation of a circle in standard form is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.
To find the center of the circle, we complete the square. First, we move the constant term to the right side of the equation:
x^2 + y^2 - 4x - 6y = -9
We can complete the square in x by adding (-4/2)^2 = 4 to both sides of the equation:
x^2 + y^2 - 4x + 4 = -9 + 4
This gives us:
x^2 - 4x + 4 + y^2 = -5
We can complete the square in y by adding (-6/2)^2 = 9 to both sides of the equation:
x^2 - 4x + 4 + y^2 + 9 = -5 + 9
This gives us:
(x - 2)^2 + (y - 3)^2 = 4
Therefore, the center of the circle is (2, 3) and the radius is 2.
Question 2:
The points (-2, 1), (3, 4), and (5, -2) are collinear. Find the equation of the line that passes through these points.
Answer
To find the equation of the line that passes through these points, we can use the slope-intercept form of the equation of a line: y = mx + b, where m is the slope of the line and b is the y-intercept.
To find the slope of the line, we can use the formula:
m = (y2 - y1)/(x2 - x1)
In this case, we have:
m = (4 - 1)/(3 - (-2)) = 3/5
Now that we know the slope of the line, we can plug it into the slope-intercept form of the equation of a line to find the equation of the line that passes through the points (-2, 1), (3, 4), and (5, -2). This gives us:
y = (3/5)x + b
We can plug in one of the points to find the value of b. Let's use the point (-2, 1). This gives us:
1 = (3/5)(-2) + b
1 = -6/5 + b
b = 1 + 6/5
b = 11/5
Therefore, the equation of the line that passes through the points (-2, 1), (3, 4), and (5, -2) is y = (3/5)x + (11/5).
Paper 2
Question 1:
The probability that a student will pass an examination is 0.7. If 10 students take the examination, find the number of students that are expected to pass.
Answer:
The expected number of students to pass is 0.7 * 10 = 7.
Question 2:
The mean of a set of 10 numbers is 5. If one of the numbers is removed, the mean becomes 4. Find the number that was removed.
Answer:
The sum of the 10 numbers is 10 * 5 = 50.
The sum of the 9 numbers after the number is removed is 9 * 4 = 36.
Therefore, the number that was removed is 50 - 36 = 14.
WAEC Further Mathematics Questions and Answers 2023 - FAQs
The exam format typically includes multiple-choice questions, short answer questions, and longer, more in-depth problems that require students to apply their knowledge and problem-solving skills to solve complex mathematical problems.
The syllabus covers a wide range of topics including calculus, matrices and determinants, complex numbers, vectors, statistics, probability theory, mechanics, and elementary number theory.
Yes, WAEC Further Mathematics goes beyond the core mathematics curriculum and introduces advanced mathematical concepts. To perform well in the exam, it is important to have a solid foundation in core mathematics and to study and practice the advanced topics covered in Further Mathematics.
Effective preparation for the exam involves studying the recommended textbooks, practicing past exam papers, working through sample questions, and seeking guidance from teachers or tutors. Regular revision and consistent practice are key to success.
Yes, there are various resources available to assist with exam preparation. These include textbooks that cover the syllabus, online study materials, video tutorials, and revision guides. Additionally, past exam papers and sample questions can be useful for practicing and familiarizing oneself with the exam format and types of questions asked.