POST UTME OAU 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
Find the area under the curve y = x^2 + 2x - 3 from x = 0 to x = 2.
A. 14
B. 16
C. 18
D. 20
Question 3
Find the value of x in the equation: \log_{10} \( x^2 \) = 4.
A. 10
B. 100
C. 1000
D. 10000
Question 4
Find the determinant of the matrix \( egin{pmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 1 & 3 & 2 \end{pmatrix} \).
A. -1
B. 1
C. 2
D. 3
Question 5
In the diagram below, ( AB ) is a diameter of the circle with center ( O ). If \( angle AOB = 60^{circ} \), find the measure of ( angle ACB ).
A. 30^{circ}
B. 45^{circ}
C. 60^{circ}
D. 90^{circ}
Question 6
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. x < -3 or x > 1
B. x < -1 or x > 3
C. x < 1 or x > 3
D. x < -3 or x < 1
Question 7
Determine the value of x in the equation \( \frac{x}{2} + \frac{3}{4} = \frac{7}{8} \).
A. 1
B. 2
C. 3
D. 4
Question 8
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. \frac{-2x}{\( x^2 + 1 \)^2}
B. \frac{2x}{\( x^2 + 1 \)^2}
C. \frac{1}{\( x^2 + 1 \)^2}
D. \frac{-1}{\( x^2 + 1 \)^2}
Question 9
A circle has a diameter of 10 cm. Find the area of the circle.
A. 25π
B. 50π
C. 100π
D. 200π
Question 10
A histogram is constructed with the following data: 5, 7, 9, 11, 13. What is the mean of the data?
A. 9
B. 10
C. 11
D. 12
Question 11
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).
A. 64
B. 128
C. 192
D. 256
Question 12
Find the area of the triangle with vertices ( A(0, 0) ), ( B(3, 0) ), and ( C(0, 4) ).
A. 6
B. 12
C. 18
D. 24
Question 13
Solve for x in the equation \( x^4 - 6x^2 + 8 = 0 \).
A. x = \pm 2
B. x = \pm \sqrt{2}
C. x = \pm 2\sqrt{2}
D. x = \pm 4
Question 14
Two events A and B are indep\endent. If P(A) = 0.4 and P(B) = 0.6, find P(A ∩ B).
A. 0.24
B. 0.36
C. 0.48
D. 0.64
Question 15
Find the volume of the solid formed by revolving the region bounded by the curves \( y = x^2 \) and \( y = 4 - x \) about the x-axis.
A. 16π
B. 32π
C. 64π
D. 128π

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: