POST UTME COVENANT UNIVERSITY 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Let \( A = egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \) and \( B = egin{bmatrix} 5 & 6 \ 7 & 8 \end{bmatrix} \). Find ( AB ) if it exists.
A. \begin{bmatrix} 19 & 22 \\ 43 & 50 \end{bmatrix}
B. \begin{bmatrix} 11 & 14 \\ 23 & 28 \end{bmatrix}
C. \begin{bmatrix} 17 & 20 \\ 37 & 44 \end{bmatrix}
D. \begin{bmatrix} 13 & 16 \\ 29 & 36 \end{bmatrix}
Question 2
In a geometric sequence with first term (a) and common ratio (r), the sum of the first three terms is 12. If the sum of the first four terms is 24, what is the value of (r)?
A. 2
B. 3
C. 4
D. 5
Question 3
A fair six-sided die is rolled. What is the probability that the number obtained is greater than 4?
A. \frac{1}{6}
B. \frac{2}{6}
C. \frac{3}{6}
D. \frac{4}{6}
Question 4
Solve the inequality \( \frac{x-2}{x+1} geq 0 \) for ( x in mathbb{R} ).
A. \( x leq -1 \) or ( x geq 2 )
B. \( x < -1 \) or \( x > 2 \)
C. \( x leq -1 \) or \( x > 2 \)
D. \( x < -1 \) or ( x leq 2 )
Question 5
Solve the system of equations u\sing matrices: \begin{align*} 2x + 3y &= 7 \ 4x - 2y &= -3 \end{align*}
A. \begin{pmatrix} x \ y \end{pmatrix} = \begin{pmatrix} 1 \ 2 \end{pmatrix}
B. \begin{pmatrix} x \ y \end{pmatrix} = \begin{pmatrix} 2 \ 1 \end{pmatrix}
C. \begin{pmatrix} x \ y \end{pmatrix} = \begin{pmatrix} 3 \ 4 \end{pmatrix}
D. \begin{pmatrix} x \ y \end{pmatrix} = \begin{pmatrix} 4 \ 3 \end{pmatrix}
Question 6
Find the derivative of the function ( f(x) = 3x^2 + 2x - 5 ) u\sing the power rule.
A. ( f'(x) = 6x + 2 )
B. ( f'(x) = 6x - 2 )
C. ( f'(x) = 3x^2 + 2x - 5 )
D. ( f'(x) = 3x^2 - 2x + 5 )
Question 7
A set of 5 points is chosen at random from a circle of radius 10. What is the probability that the five points form a convex pentagon?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 8
A set of 5 points is chosen at random from a square with side length 10. What is the probability that the five points form a convex pentagon?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 9
Solve the matrix equation \( egin{pmatrix} 2 & 1 \ 4 & 3 \end{pmatrix} egin{pmatrix} x \ y \end{pmatrix} = egin{pmatrix} 7 \ -3 \end{pmatrix} \).
A. \begin{pmatrix} x \ y \end{pmatrix} = \begin{pmatrix} 1 \ 2 \end{pmatrix}
B. \begin{pmatrix} x \ y \end{pmatrix} = \begin{pmatrix} 2 \ 1 \end{pmatrix}
C. \begin{pmatrix} x \ y \end{pmatrix} = \begin{pmatrix} 3 \ 4 \end{pmatrix}
D. \begin{pmatrix} x \ y \end{pmatrix} = \begin{pmatrix} 4 \ 3 \end{pmatrix}
Question 10
A polynomial function (f(x)) has a root at \( x = 2 \) and a root at \( x = -3 \). If the leading coefficient of the polynomial is 2, what is the value of (f(0))?
A. 10
B. -10
C. 20
D. -20
Question 11
Find the equation of the circle with center ( (2, 3) ) and radius 4.
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 2 \)^2 + \( y - 3 \)^2 = 25
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 36
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 49
Question 12
Find the area under the curve \( y = x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 2 \).
A. \frac{14}{3}
B. \frac{16}{3}
C. \frac{18}{3}
D. \frac{20}{3}
Question 13
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 2.999999999
B. 3.000000001
C. 3.000000002
D. 3.000000003
Question 14
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{-2x}{\( x^2 + 1 \)^2}
D. \frac{2x}{\( x^2 + 1 \)^2}
Question 15
Find the derivative of the function ( f(x) = \frac{x^2 + 2x - 3}{x^2 - 4} ) u\sing the quotient rule.
A. \frac{2x\( x^2 - 4 \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}
B. \frac{2x\( x^2 - 4 \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}
C. \frac{2x\( x^2 - 4 \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}
D. \frac{2x\( x^2 - 4 \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^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: