POST UTME GREENFIELD UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. What is its volume?
A. V = 72 cm^3
B. V = 48 cm^3
C. V = 36 cm^3
D. V = 24 cm^3
Question 2
Determine the volume of the frustum of a cone with a height of 10 cm, a lower base radius of 4 cm, and an upper base radius of 6 cm.
A. 100π cm³
B. 150π cm³
C. 200π cm³
D. 250π cm³
Question 3
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \) u\sing the formula for 2x2 matrices.
A. 1
B. -1
C. 2
D. 3
Question 4
A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find the surface area of the prism.
A. 60
B. 80
C. 100
D. 120
Question 5
A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?
A. \boxed{\frac{1}{3}}
B. \frac{1}{2}
C. \frac{2}{3}
D. \frac{3}{4}
Question 6
In the circuit below, determine the current flowing through the 2 Ω resistor.
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 7
Find the derivative of the function ( f(x) = \frac{1}{\sqrt{1 + x^2}} ) u\sing the chain rule.
A. \frac{-x}{\( 1 + x^2 \)^{3/2}}
B. \frac{x}{\( 1 + x^2 \)^{3/2}}
C. \frac{1}{\( 1 + x^2 \)^{3/2}}
D. \frac{-1}{\( 1 + x^2 \)^{3/2}}
Question 8
Solve the equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. -2
B. -1
C. 0
D. 1
Question 9
Find the equation of the circle with center \( -2, 3 \) and radius 4.
A. \boxed{\( x + 2 \)^2 + \( y - 3 \)^2 = 16}
B. \( x - 2 \)^2 + \( y + 3 \)^2 = 16
C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
Question 10
A right circular cylinder has a height of 10 cm and a radius of 4 cm. Find the volume of the cylinder.
A. 80\pi
B. 100\pi
C. 120\pi
D. 160\pi
Question 11
A histogram of exam scores is shown below. If the mean score is 60 and the s\tandard deviation is 10, calculate the range of scores.
A. 40-80
B. 50-70
C. 60-80
D. 70-90
Question 12
A polynomial function is defined as \( f(x) = x^3 - 6x^2 + 9x + 2 \). Find the value of \( f\( -1 \).
A. -8
B. -6
C. -4
D. 2
Question 13
Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 2) ).
A. 6
B. 8
C. 10
D. 12
Question 14
A set of 5 numbers has a mean of 10. Find the sum of the numbers.
A. 50
B. 100
C. 150
D. 200
Question 15
Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \) for ( x ) in the interval ( [0, 2pi] ).
A. x = 0, \\pi/2, \\pi, 3\\pi/2
B. x = 0, \pi/2, \pi, 3\pi/2, 2\pi
C. x = \\pi/2, \\pi, 3\\pi/2
D. x = 0, \pi

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