POST UTME ELIZADE UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve for ( x ) in the equation \( 2x^2 - 5x - 3 = 0 \).
A. 1
B. -1
C. 2
D. -2
Question 2
A solid right circular cone has a height of 15 cm and a base radius of 8 cm. Find the volume of the cone in cubic centimeters.
A. 200\pi
B. 400\pi
C. 600\pi
D. 800\pi
Question 3
A circle has a diameter of 10 cm. Find the area of the circle in square centimeters.
A. 25\pi
B. 50\pi
C. 75\pi
D. 100\pi
Question 4
Solve the system of equations \( x + y = 4 \) and \( x - y = 2 \) u\sing substitution.
A. x = 3, y = 1
B. x = 1, y = 3
C. x = 2, y = 2
D. x = 4, y = 0
Question 5
A die is rolled twice. What is the probability that the sum of the two numbers is 7?
A. 1/6
B. 1/12
C. 1/18
D. 1/24
Question 6
Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).
A. y = x + 1
B. y = x - 1
C. y = -x + 1
D. y = x + 2
Question 7
Solve the inequality \( 2x - 3 > 5 \) u\sing algebraic manipulation.
A. x > 4
B. x < 4
C. x > 2
D. x < 2
Question 8
A right-angled triangle has a base of 5 cm and a height of 12 cm. Find the length of the hypotenuse u\sing the Pythagorean theorem.
A. 13
B. 14
C. 15
D. 16
Question 9
Find the equation of the circle with center ( (2, 3) ) and radius 4.
A. \left\( x - 2 \right \)^2 + \left\( y - 3 \right \)^2 = 16
B. \left\( x - 2 \right \)^2 + \left\( y - 3 \right \)^2 = 25
C. \left\( x - 2 \right \)^2 + \left\( y - 3 \right \)^2 = 36
D. \left\( x - 2 \right \)^2 + \left\( y - 3 \right \)^2 = 49
Question 10
Find the derivative of the function ( f(x) = x^3 - 2x^2 + 3x - 1 ) u\sing the power rule.
A. 3x^2 - 4x + 3
B. 3x^2 - 4x - 3
C. 3x^2 + 4x + 3
D. 3x^2 + 4x - 3
Question 11
Solve the equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. -2
B. -1
C. 1
D. 2
Question 12
Find the equation of the circle with center ( (2, 3) ) and radius 4.
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 3 \)^2 + \( y - 2 \)^2 = 16
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 9
D. \( x - 3 \)^2 + \( y - 2 \)^2 = 9
Question 13
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).
A. 1
B. -1
C. 2
D. 3
Question 14
Find the determinant of the matrix \( \begin{bmatrix} 2 & 3 & 1 \ 4 & 1 & 2 \ 3 & 2 & 4 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 15
Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 4) ).
A. 6
B. 8
C. 10
D. 12

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