POST UTME OAU 2018 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, 54, ... ).
A. 190
B. 200
C. 210
D. 220
Question 2
Solve the inequality [ 2x^2 + 5x - 3 \geq 0 \].
A. \left\( -\infty, -\frac{3}{2} \right \) \cup \left\( \frac{1}{2}, \infty \right \)
B. \left\( -\infty, -\frac{1}{2} \right \) \cup \left\( \frac{3}{2}, \infty \right \)
C. \left\( -\infty, \frac{1}{2} \right \) \cup \left\( -\frac{3}{2}, \infty \right \)
D. \left\( -\infty, \frac{3}{2} \right \) \cup \left\( -\frac{1}{2}, \infty \right \)
Question 3
Find the value of \( int_{0}^{1} \frac{1}{x^2 + 1} dx \) u\sing the method of substitution.
A. \frac{\pi}{4}
B. \frac{\pi}{2}
C. \frac{\pi}{3}
D. \frac{\pi}{6}
Question 4
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).
A. 32
B. 64
C. 128
D. 256
Question 5
In a survey of 100 students, the mean height of the students is 175 cm. If the s\tandard deviation of the heights is 5 cm, what is the probability that a randomly selected student will have a height between 170 cm and 180 cm?
A. 0.6915
B. 0.3085
C. 0.5
D. 0.8413
Question 6
Solve the equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. x = -2
B. x = 2
C. x = -1
D. x = 1
Question 7
Find the derivative of the function [ f(x) = \frac{1}{x^2} \] u\sing the chain rule.
A. \frac{-2}{x^3}
B. \frac{2}{x^3}
C. \frac{-1}{x^3}
D. \frac{1}{x^3}
Question 8
A vector ( mathbf{a} ) has a magnitude of 5 and is directed at an angle of 30° to the x-axis. Find the x and y components of ( mathbf{a} ).
A. 3, 4
B. 4, 3
C. 5, 5
D. 6, 6
Question 9
A histogram shows the distribution of exam scores for a class of 50 students. The histogram has 5 bars, each representing a score range. The heights of the bars are 8, 12, 15, 10, and 5 units, respectively. What is the mean score of the class?
A. 11.2
B. 12.1
C. 13.5
D. 14.8
Question 10
Solve the equation \( x^2 + 4x + 4 = 0 \).
A. x = -2
B. x = 2
C. x = -1
D. x = 1
Question 11
A histogram of exam scores is shown below. What is the mean score?
A. 40
B. 50
C. 60
D. 70
Question 12
A matrix ( A ) is given by \( A = \begin{bmatrix} 2 & 1 \ 3 & 4 \end{bmatrix} \). Find the determinant of ( A ).
A. 5
B. 6
C. 7
D. 8
Question 13
A binary operation ( ast ) is defined as \( a ast b = a^2 + b^2 \). Find the value of ( 2 ast 3 ).
A. 13
B. 14
C. 15
D. 16
Question 14
Find the area under the curve y = x^2 + 2x + 1 from x = 0 to x = 2.
A. 10
B. 12
C. 14
D. 16
Question 15
A histogram of exam scores is shown below. What is the mean score?
A. 60
B. 70
C. 80
D. 90

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: