POST UTME UNN 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the sum of the first 5 terms of the geometric progression 2, 6, 18, ...
A. 62
B. 64
C. 66
D. 68
Question 2
Find the value of x in the equation \( 2x^2 + 5x - 3 = 0 \).
A. -1
B. 1
C. 2
D. 3
Question 3
Solve the inequality \frac{x - 2}{x + 1} > 0.
A. \boxed{\( -\infty, -1 \) \cup \( 2, \infty \)}
B. \boxed{\( -\infty, -1 \) \cup \( 1, \infty \)}
C. \boxed{\( -\infty, 1 \) \cup \( 2, \infty \)}
D. \boxed{\( -\infty, 1 \) \cup \( 2, \infty \)}
Question 4
Find the volume of the solid formed by revolving the region bounded by the curve \( y = x^2 \) and the line \( x = 2 \) about the x-axis.
A. \( \frac{32}{3} pi \)
B. \( \frac{64}{3} pi \)
C. \( \frac{128}{3} pi \)
D. \( \frac{256}{3} pi \)
Question 5
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4 \)
B. \( \frac{1}{2} \times 4^2 + 3 \times 4 - 2 \)
C. \( \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4^2 \)
D. \( \frac{1}{2} \times 4^2 + 3 \times 4^3 - 2 \times 4 \)
Question 6
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, 1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)
Question 7
Solve for $x$: $\log_{10} \( x^2 \) = 4$.
A. 10
B. 100
C. 1000
D. 10000
Question 8
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -\frac{5}{2} \) or \( x > \frac{3}{2} \)
B. \( x < -\frac{3}{2} \) or \( x > \frac{5}{2} \)
C. \( x < -\frac{5}{2} \) or \( x < \frac{3}{2} \)
D. \( x > -\frac{5}{2} \) or \( x < \frac{3}{2} \)
Question 9
Find the determinant of the matrix \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 10
Solve the equation \( \sin^2 x + \cos^2 x = 1 \).
A. x = 0
B. x = π/2
C. x = π
D. x = 2π
Question 11
A vector \mathbf{a} has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. If a vector \mathbf{b} has a magnitude of 3 units and makes an angle of 60° with the positive x-axis, find the magnitude of the sum of the two vectors.
A. 4.33 units
B. 5.00 units
C. 6.07 units
D. 7.07 units
Question 12
A histogram of exam scores is shown below. What is the mean of the scores?
A. 40
B. 50
C. 60
D. 70
Question 13
Solve the equation \( 2^x + 2^{-x} = 10 \).
A. 2
B. 3
C. 4
D. 5
Question 14
A population of 1000 bacteria is growing at a rate of 20% per hour. What is the population after 3 hours?
A. 1600
B. 1800
C. 2000
D. 2200
Question 15
A histogram of exam scores is shown below. What is the mean score?
A. 50
B. 60
C. 70
D. 80

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: