POST UTME UNILAG 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the area of the region bounded by the curve \( y = x^2 - 4x + 3 \) and the x-axis from \( x = 1 \) to \( x = 3 \).
A. 4
B. 6
C. 8
D. 10
Question 2
Solve the equation \( x^2 - 6x + 8 = 0 \).
A. 2
B. 3
C. 4
D. 5
Question 3
Find the value of x in the equation \frac{1}{x} + \frac{1}{x+1} = \frac{1}{2}.
A. 1
B. 2
C. 3
D. 4
Question 4
Find the volume of a cone with a radius of 6 cm and a height of 8 cm.
A. 150.72
B. 201.06
C. 251.4
D. 301.8
Question 5
Determine the volume of the frustum of a cone with height 8cm, lower base radius 4cm, and upper base radius 2cm.
A. 64π cm³
B. 128π cm³
C. 256π cm³
D. 512π cm³
Question 6
A histogram has a mean of 25 and a s\tandard deviation of 5. If the largest value is 40, what is the sum of the remaining 4 values?
A. 80
B. 90
C. 100
D. 110
Question 7
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 8
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 9
Find the area under the curve \( y = x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 2 \) u\sing the definite integral.
A. \frac{13}{3}
B. \frac{17}{3}
C. \frac{23}{3}
D. \frac{29}{3}
Question 10
A set of 5 integers has an average of 20. If the largest integer is 35, and the second largest is 25, what is the sum of the remaining 3 integers?
A. 50
B. 60
C. 70
D. 80
Question 11
In a triangle ABC, the coordinates of A, B, and C are (2, 3), (4, 6), and (8, 2) respectively. Find the equation of the median from vertex A to side BC.
A. \frac{x}{2} + 3 = 0
B. \frac{x}{2} + 3 = 1
C. \frac{x}{2} + 3 = 2
D. \frac{x}{2} + 3 = 3
Question 12
Find the volume of a rec\tangular prism with a length of 6 cm, a width of 4 cm, and a height of 3 cm.
A. 72
B. 96
C. 120
D. 144
Question 13
Find the surface area of a sphere with a radius of 4 cm.
A. 50.24
B. 100.48
C. 150.72
D. 201.06
Question 14
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 & 1 \ 4 & 5 & 2 \ 1 & 2 & 3 \end{bmatrix} \).
A. 10
B. 15
C. 20
D. 25
Question 15
Find the equation of the line pas\sing through the points (2,3) and (4,5).
A. y = 2x - 1
B. y = 2x + 1
C. y = 3x - 2
D. y = 3x + 2

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: