POST UTME CHRISTOPHER UNIVERSITY 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the mean of the data set: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?
A. 12
B. 14
C. 16
D. 18
Question 2
Solve the quadratic equation x^2 + 4x + 4 = 0.
A. x = -2
B. x = -1
C. x = 0
D. x = 1
Question 3
Let \( A = { 1, 2, 3, 4, 5 } \) and \( B = { 2, 4, 6, 8, 10 } \). Find ( A cap B ).
A. { 1, 2, 3, 4, 5 }
B. { 2, 4, 6, 8, 10 }
C. { 1, 2, 3, 4, 5, 6, 8, 10 }
D. { 2, 4 }
Question 4
Find the determinant of the matrix: \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \).
A. -2
B. 2
C. 4
D. 6
Question 5
Find the mean and s\tandard deviation of the data set: \{2, 4, 6, 8, 10\}.
A. \text{Mean: } 6, \text{S\tandard Deviation: } 2
B. \text{Mean: } 6, \text{S\tandard Deviation: } 4
C. \text{Mean: } 4, \text{S\tandard Deviation: } 2
D. \text{Mean: } 4, \text{S\tandard Deviation: } 4
Question 6
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 7
Solve the matrix equation \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 3 \\ 9 \end{bmatrix}.
A. \begin{bmatrix} 1 \\ 3 \end{bmatrix}
B. \begin{bmatrix} 2 \\ 4 \end{bmatrix}
C. \begin{bmatrix} 3 \\ 9 \end{bmatrix}
D. \begin{bmatrix} 4 \\ 12 \end{bmatrix}
Question 8
A histogram of exam scores is shown below. What is the mean score?
A. 60
B. 70
C. 80
D. 90
Question 9
Find the surface area of the solid formed by revolving the region bounded by the curves y = x^2, y = 0, and x = 2 about the x-axis.
A. 32\pi
B. 64\pi
C. 128\pi
D. 256\pi
Question 10
A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If a marble is drawn at random, what is the probability that it is blue?
A. \frac{1}{10}
B. \frac{1}{5}
C. \frac{3}{10}
D. \frac{2}{5}
Question 11
A sequence is defined by the recurrence relation \( a_n = 2a_{n-1} + 1 \) with initial term \( a_1 = 3 \). Find the first five terms of the sequence.
A. \left( 3, 7, 15, 31, 63 \right]
B. \left( 3, 5, 11, 23, 47 \right]
C. \left( 3, 7, 13, 27, 55 \right]
D. \left( 3, 5, 9, 19, 39 \right]
Question 12
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -1 \) or \( x > \frac{3}{2} \)
B. \( x < -1 \) or \( x < \frac{3}{2} \)
C. \( x > -1 \) or \( x < \frac{3}{2} \)
D. \( x > -1 \) or \( x > \frac{3}{2} \)
Question 13
A random sample of 25 students from a university had a mean height of 175.5 cm with a s\tandard deviation of 5.2 cm. If the population s\tandard deviation is unknown, calculate the 95% confidence interval for the mean height of the population.
A. 170.3 cm, 180.7 cm
B. 168.1 cm, 182.9 cm
C. 169.5 cm, 181.5 cm
D. 171.1 cm, 179.9 cm
Question 14
Solve the matrix equation \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix} \).
A. \( egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 4 \end{bmatrix} \)
B. \( egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 4 \ 3 \end{bmatrix} \)
C. \( egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 2 \ 1 \end{bmatrix} \)
D. \( egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 1 \ 2 \end{bmatrix} \)
Question 15
Find the area under the curve of the function \( f(x) = \frac{1}{x^2 + 1} \) from \( x = 0 \) to \( x = 1 \).
A. \frac{\pi}{4}
B. \frac{\pi}{2}
C. \frac{\pi}{6}
D. \frac{\pi}{3}

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: