POST UTME CHRISTOPHER UNIVERSITY 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A histogram shows the distribution of exam scores. If the mean score is 70 and the s\tandard deviation is 10, what is the probability that a randomly selected score is between 60 and 80?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 2
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. y = 2x - 1
B. y = 2x + 1
C. y = x + 2
D. y = x - 2
Question 3
Solve for ( x ) in the equation \( 2^x + 3^x = 5^x \).
A. x = 2
B. x = 3
C. x = 4
D. x = 5
Question 4
A fair six-sided die is rolled twice. What is the probability that the sum of the two numbers is 7?
A. \( \frac{1}{6} \)
B. \( \frac{1}{12} \)
C. \( \frac{1}{36} \)
D. \( \frac{1}{24} \)
Question 5
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula. What is the value of ( x )?
A. 0
B. -2
C. 2
D. -4
Question 6
Find the sum of the first 10 terms of the geometric series \( 2 + 6 + 18 + ldots \).
A. \( 2 + 6 + 18 + ldots + 4860 \)
B. \( 2 + 6 + 18 + ldots + 4862 \)
C. \( 2 + 6 + 18 + ldots + 4864 \)
D. \( 2 + 6 + 18 + ldots + 4866 \)
Question 7
The mean of a set of numbers is 25. If the mean of a subset of these numbers is 30, what is the mean of the remaining numbers?
A. 20
B. 22
C. 24
D. 26
Question 8
Find the derivative of the function ( f(x) = \frac{1}{2x^2 + 5x - 3} ) u\sing the chain rule.
A. \( \frac{-2x + 5}{\( 2x^2 + 5x - 3 \ \)^2} )
B. \( \frac{2x + 5}{\( 2x^2 + 5x - 3 \ \)^2} )
C. \( \frac{2x - 5}{\( 2x^2 + 5x - 3 \ \)^2} )
D. \( \frac{-2x - 5}{\( 2x^2 + 5x - 3 \ \)^2} )
Question 9
Solve the system of equations u\sing matrices: \( \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 5 \ 6 \end{bmatrix} \).
A. \begin{bmatrix} 1 \ 2 \end{bmatrix}
B. \begin{bmatrix} 2 \ 1 \end{bmatrix}
C. \begin{bmatrix} 3 \ 4 \end{bmatrix}
D. \begin{bmatrix} 4 \ 3 \end{bmatrix}
Question 10
Simplify the expression \( \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ldots \).
A. \( \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ldots = \frac{1}{2} \)
B. \( \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ldots = \frac{3}{4} \)
C. \( \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ldots = \frac{7}{8} \)
D. \( \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ldots = \frac{15}{16} \)
Question 11
Find the volume of the sphere with radius 5 cm.
A. 500\pi
B. 1000\pi
C. 2000\pi
D. 5000\pi
Question 12
Find the derivative of the function ( f(x) = \frac{1}{\sqrt{1 + x^2}} ) u\sing the chain rule.
A. f'(x) = \frac{-x}{\( 1 + x^2 \)^{3/2}}
B. f'(x) = \frac{x}{\( 1 + x^2 \)^{3/2}}
C. f'(x) = \frac{1}{\( 1 + x^2 \)^{3/2}}
D. f'(x) = \frac{-1}{\( 1 + x^2 \)^{3/2}}
Question 13
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \) u\sing integration.
A. \( \frac{64}{3} \)
B. \( \frac{32}{3} \)
C. \( \frac{16}{3} \)
D. \( \frac{8}{3} \)
Question 14
Solve for x in the equation \( x^3 - 6x^2 + 11x - 6 = 0 \).
A. 1
B. 2
C. 3
D. 4
Question 15
Let A be a 3x3 matrix with elements a_{ij}. Find the determinant of A.
A. a_{11}a_{22}a_{33} - a_{12}a_{23}a_{31} + a_{13}a_{21}a_{32}
B. a_{11}a_{22}a_{33} - a_{12}a_{23}a_{31} - a_{13}a_{21}a_{32}
C. a_{11}a_{22}a_{33} + a_{12}a_{23}a_{31} + a_{13}a_{21}a_{32}
D. a_{11}a_{22}a_{33} + a_{12}a_{23}a_{31} - a_{13}a_{21}a_{32}

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: