POST UTME COVENANT UNIVERSITY 2024 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) ).
A. y = 2x - 1
B. y = 2x + 1
C. y = -2x + 1
D. y = -2x - 1
Question 2
Solve for x in the equation \( \frac{x}{2} + 3 = 7 \).
A. 4
B. 5
C. 6
D. 7
Question 3
Find the value of \( \sin 2x \) given that \( \sin x = \frac{3}{5} \) and \( \cos x = \frac{4}{5} \).
A. \frac{24}{25}
B. \frac{16}{25}
C. \frac{12}{25}
D. \frac{20}{25}
Question 4
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -\infty, -1 \) \cup \( 3, \infty \)
B. \( -\infty, 1 \) \cup \( 3, \infty \)
C. \( -\infty, -1 \) \cup \( 1, \infty \)
D. \( -\infty, 1 \) \cup \( 1, \infty \)
Question 5
Find the value of \( \sin \( 2pi/3 \ \) ).
A. 1/2
B. 1/3
C. 2/3
D. 3/4
Question 6
Solve the system of equations \( x + y = 4 \) and \( xy = 5 \).
A. x = 1, y = 3
B. x = 3, y = 1
C. x = 2, y = 2
D. x = 4, y = 0
Question 7
Solve the equation \( \log_2 \( x + 1 \ \) = 3 ) for ( x ).
A. \( x = 7 \)
B. \( x = 6 \)
C. \( x = 5 \)
D. \( x = 4 \)
Question 8
Solve the equation \( x^2 + 4x + 4 = 0 \).
A. x = -2
B. x = -1
C. x = 0
D. x = 1
Question 9
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 10
Find the sum of the first 10 terms of the geometric series \( 2x^2, 4x^3, 8x^4, ldots \).
A. 2x^2\( 1 - 2^10 \)
B. 2x^2\( 1 + 2^10 \)
C. 2x^2\( 1 - 10^2 \)
D. 2x^2\( 1 + 10^2 \)
Question 11
A set of 5 numbers has a mean of 10. Find the sum of the numbers.
A. 50
B. 60
C. 70
D. 80
Question 12
A histogram is shown below. What is the mean of the data represented by the histogram?
A. 5
B. 6
C. 7
D. 8
Question 13
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, 1 \) ∪ (3, ∞)
C. \( -∞, -3 \) ∪ (1, ∞)
D. \( -∞, 3 \) ∪ (1, ∞)
Question 14
Find the area under the curve \( y = \frac{1}{x^2 + 1} \) from \( x = 0 \) to \( x = 1 \).
A. \( \frac{pi}{4} \)
B. \( \frac{pi}{2} \)
C. \( \frac{pi}{3} \)
D. \( \frac{pi}{6} \)
Question 15
Find the determinant of the matrix \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. ( 0 )
B. ( 1 )
C. ( 2 )
D. ( 3 )

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