Further Mathematics WAEC exam questions and answers

Further Mathematics WAEC exam questions and answers

Here are 20 further mathematics WAEC exam questions with multiple-choice options and answers:

What is the derivative of the function f(x) = 3x^2 with respect to x?

a) 6x

b) 3x

c) 6

d) 0

Answer: a) 6x

In a geometric progression, if the first term (a) is 4 and the common ratio (r) is 2, what is the third term?

a) 4

b) 8

c) 16

d) 32

Answer: c) 16

If log base 2 of x is equal to 3, what is the value of x?

a) 2

b) 4

c) 8

d) 6

Answer: c) 8

What is the solution to the quadratic equation 2x^2 - 5x + 3 = 0?

a) x = 1, x = 3

b) x = 3, x = -1

c) x = 2, x = 1.5

d) x = 3, x = 2

Answer: a) x = 1, x = 3

If f(x) = 3x + 2 and g(x) = 2x - 5, what is f(g(4))?

a) 11

b) 9

c) 13

d) 7

Answer: a) 11

What is the value of the determinant of the 2x2 matrix [[3, 4], [5, 2]]?

a) 2

b) -14

c) 14

d) 8

Answer: b) -14

If sin(x) = 0.6, what is the value of cos(x) in the interval [0, 2π]?

a) 0.8

b) 0.6

c) 0.4

d) 0.2

Answer: a) 0.8

If a polynomial has degree 3, how many complex roots can it have?

a) 1

b) 2

c) 3

d) 4

Answer: c) 3

In a right-angled triangle, if one of the angles is 30 degrees, what is the value of the other acute angle?

a) 30 degrees

b) 45 degrees

c) 60 degrees

d) 90 degrees

Answer: c) 60 degrees

What is the value of i^4, where i is the imaginary unit?

a) 1

b) -1

c) i

d) -i

Answer: a) 1

If a set A contains 5 elements and a set B contains 3 elements, how many different subsets can be formed by combining elements from both sets?

a) 8

b) 15

c) 20

d) 35

Answer: c) 20

What is the integral of the function ∫(2x + 3) dx?

a) x^2 + 3x + C

b) x^2 + 3x

c) x^2 + 3 + C

d) x^2 + C

Answer: a) x^2 + 3x + C

In a sequence, if the common difference is -2 and the first term is 10, what is the 10th term?

a) -10

b) 10

c) -10

d) -30

Answer: b) 10

If the determinant of a 3x3 matrix is zero, what does it imply about the matrix?

a) It has no solution

b) It is singular

c) It is invertible

d) It has an infinite number of solutions

Answer: b) It is singular

What is the solution to the equation 3^x = 81?

a) x = 4

b) x = 3

c) x = 2

d) x = 5

Answer: a) x = 4

In a binomial expansion, what is the term independent of x in the expansion of (2x + 3)^5?

a) 3^5

b) 5C2 * 2^3

c) 5C3 * 3^2

d) 5C4 * 3

Answer: a) 3^5

If two angles are complementary, and one of them is 30 degrees, what is the measure of the other angle?

a) 60 degrees

b) 90 degrees

c) 120 degrees

d) 150 degrees

Answer: a) 60 degrees

What is the nth term of the arithmetic sequence 2, 5, 8, 11, ...?

a) a_n = 2n

b) a_n = 3n - 1

c) a_n = n + 3

d) a_n = 2n + 3

Answer: b) a_n = 3n - 1

If the radius of a circle is doubled, how does the area of the circle change?

a) It doubles

b) It quadruples

c) It becomes half

d) It becomes a quarter

Answer: b) It quadruples

What is the sum of the interior angles of a hexagon?

a) 120 degrees

b) 180 degrees

c) 360 degrees

d) 720 degrees

Answer: c) 360 degrees