POST UTME BOWEN UNIVERSITY 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the equation of the line pas\sing through the points (2, 3) and (4, 5) in the coordinate plane.
A. \frac{y - 3}{x - 2} = \frac{5 - 3}{4 - 2}
B. \frac{y - 2}{x - 3} = \frac{5 - 3}{4 - 2}
C. \frac{y - 3}{x - 4} = \frac{5 - 3}{4 - 2}
D. \frac{y - 2}{x - 4} = \frac{5 - 3}{4 - 2}
Question 2
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( 16 + 12 - 8 = 20 \)
B. \( 8 + 12 - 8 = 12 \)
C. \( 16 + 12 - 8 = 20 \)
D. \( 8 + 12 - 8 = 12 \)
Question 3
A fair six-sided die is rolled. What is the probability that the result is a prime number?
A. \frac{1}{2}
B. \frac{1}{3}
C. \frac{2}{3}
D. \frac{3}{4}
Question 4
Solve the equation \( \sin^2 x + \cos^2 x - \sin x \cos x = 0 \) for x.
A. \boxed{x = \frac{\pi}{4} + 2k\pi}
B. x = \frac{3\pi}{4} + 2k\pi
C. x = \frac{5\pi}{4} + 2k\pi
D. x = \frac{7\pi}{4} + 2k\pi
Question 5
A cone has a height of 8cm and a radius of 4cm. If the volume of the cone is 256\pi cubic cm, find the height of the cone.
A. 2cm
B. 4cm
C. 6cm
D. 8cm
Question 6
Solve the inequality \( 2x^2 + 5x - 3 \geq 0 \) u\sing the quadratic formula.
A. \boxed{x \leq -\frac{3}{2} \text{ or } x \geq \frac{1}{2}}
B. x \leq -\frac{3}{2} \text{ or } x \geq -\frac{1}{2}
C. x \leq -\frac{1}{2} \text{ or } x \geq \frac{3}{2}
D. x \leq -\frac{1}{2} \text{ or } x \geq -\frac{3}{2}
Question 7
Simplify the expression \sqrt{\frac{16}{25}}.
A. \frac{4}{5}
B. \frac{2}{5}
C. \frac{4}{3}
D. \frac{2}{3}
Question 8
Find the derivative of the function [ f(x) = 3x^2 + 2x - 5 ].
A. 6x + 2
B. 6x - 2
C. 3x^2 + 2
D. 3x^2 - 2
Question 9
Find the sum of the first 5 terms of the geometric series with first term 2 and common ratio 3.
A. 2 + 6 + 18 + 54 + 162
B. 2 + 6 + 18 + 54 + 162 + 486
C. 2 + 6 + 18 + 54 + 162 + 486 + 1458
D. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374
Question 10
Find the area under the curve [y=x^2-4x+3] from x=0 to x=3.
A. \frac{9}{2}
B. \frac{15}{2}
C. \frac{21}{2}
D. \frac{27}{2}
Question 11
Solve for ( x ) in the equation \( \sin \( 2x \ \) = \cos (x) ).
A. \( x = \frac{\pi}{4} \)
B. \( x = \frac{\pi}{2} \)
C. \( x = \frac{3\pi}{4} \)
D. \( x = \frac{\pi}{6} \)
Question 12
Let X and Y be indep\endent random variables with probability density functions f_X(x) = 2x, 0 < x < 1 and f_Y(y) = 3y^2, 0 < y < 1. Find the probability that X + Y < 1.
A. 1/4
B. 1/2
C. 3/4
D. 1
Question 13
Solve the inequality \( x^2 + 2x - 3 > 0 \).
A. \begin{pmatrix} x < -3 \\ x > 1 \end{pmatrix}
B. \begin{pmatrix} x < -3 \\ x < 1 \end{pmatrix}
C. \begin{pmatrix} x > -3 \\ x > 1 \end{pmatrix}
D. \begin{pmatrix} x > -3 \\ x < 1 \end{pmatrix}
Question 14
Solve the equation \( x^2 + 2x - 3 = 0 \).
A. \begin{pmatrix} x = -3 \\ x = 1 \end{pmatrix}
B. \begin{pmatrix} x = 1 \\ x = -3 \end{pmatrix}
C. \begin{pmatrix} x = -1 \\ x = 3 \end{pmatrix}
D. \begin{pmatrix} x = 3 \\ x = -1 \end{pmatrix}
Question 15
Solve the inequality \( x+2 \ \)^2-4\( x-1 \)geq 0).
A. $x\leq -6$ or $x\geq 2$
B. $x\leq -2$ or $x\geq 4$
C. $x\leq -4$ or $x\geq 6$
D. $x\leq -8$ or $x\geq 8$

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: