POST UTME ELIZADE UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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 3
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 50
C. 60
D. 70
Question 4
Solve the equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. -2
B. -1
C. 1
D. 2
Question 5
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 6
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).
A. 1
B. -1
C. 2
D. 3
Question 7
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 8
Solve for ( x ) in the equation \( 2x^2 - 5x - 3 = 0 \).
A. 1
B. -1
C. 2
D. -2
Question 9
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 10
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 11
A solid cylinder has a radius of 4 cm and a height of 10 cm. Find the volume of the cylinder in cubic centimeters.
A. 160\pi
B. 320\pi
C. 400\pi
D. 800\pi
Question 12
Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 4) ).
A. 6
B. 8
C. 10
D. 12
Question 13
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 14
Solve the equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. -2
B. -1
C. 1
D. 2
Question 15
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

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