POST UTME GREENFIELD UNIVERSITY 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the surface area of the sphere with radius 5 cm.
A. 100\pi
B. 200\pi
C. 300\pi
D. 400\pi
Question 2
A fair six-sided die is rolled. What is the probability that the number showing is greater than 4?
A. \( \frac{1}{6} \)
B. \( \frac{1}{3} \)
C. \( \frac{2}{3} \)
D. \( \frac{5}{6} \)
Question 3
A particle moves in a straight line with its position given by the equation ( s(t) = 2t^3 - 5t^2 + 3t + 1 ). Find the velocity of the particle at time \( t = 2 \) seconds.
A. ( v(2) = 14 ) m/s
B. ( v(2) = -14 ) m/s
C. ( v(2) = 0 ) m/s
D. ( v(2) = 21 ) m/s
Question 4
Determine the value of x in the equation \( \frac{1}{2}x^2 + 5x - 3 = 0 \) u\sing the quadratic formula.
A. 1
B. -2
C. 3
D. -4
Question 5
Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.
A. 24\pi
B. 48\pi
C. 96\pi
D. 192\pi
Question 6
Simplify the expression \( \frac{1}{2} \times \frac{3}{4} \times \frac{5}{6} \) u\sing the rules of \fractions.
A. \( \frac{5}{24} \)
B. \( \frac{1}{24} \)
C. \( \frac{5}{12} \)
D. \( \frac{1}{12} \)
Question 7
A matrix is given as \( egin{bmatrix} 1 & 2 \ 3 & 4 \ \end{bmatrix} \). Find the determinant of the matrix.
A. 0
B. 1
C. 2
D. 3
Question 8
Solve for x in the equation \( 2^x + 2^x = 128 \).
A. 5
B. 6
C. 7
D. 8
Question 9
A box contains 5 red balls, 4 blue balls, and 3 green balls. If a ball is drawn at random, what is the probability that it is either red or blue?
A. \frac{3}{6}
B. \frac{4}{6}
C. \frac{5}{6}
D. \frac{2}{6}
Question 10
Find the area of the triangle with vertices ( (0, 0), (3, 0), (0, 4) ).
A. 12
B. 14
C. 16
D. 18
Question 11
Solve for x in the equation \( \frac{1}{x+2} + \frac{1}{x-3} = \frac{1}{2} \).
A. \( x = -\frac{5}{2} \)
B. \( x = \frac{5}{2} \)
C. \( x = -\frac{1}{2} \)
D. \( x = \frac{1}{2} \)
Question 12
Two events, A and B, are indep\endent. If P(A) = 0.4 and P(B) = 0.6, find P(A ∩ B).
A. 0.12
B. 0.24
C. 0.36
D. 0.48
Question 13
Determine the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 14
A polynomial function is defined as ( f(x) = x^3 - 2x^2 - 7x + 12 ). Find the value of x that makes f(x) = 0.
A. 1
B. -1
C. 2
D. -2
Question 15
Solve the system of equations \( x + y = 5 \) and \( x - y = 3 \).
A. (2, 3)
B. (3, 2)
C. (4, 1)
D. (1, 4)

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