POST UTME BSU 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Two events A and B are indep\endent. If ( P(A) = 0.4 ) and ( P(B) = 0.6 ), find ( P(A cap B) ).
A. 0.24
B. 0.24 + 0.36
C. 0.24 - 0.36
D. 0.5
Question 2
Find the derivative of the function \( f(x) = \frac{1}{x^2 + 1} \).
A. f'(x) = \frac{-2x}{\( x^2 + 1 \)^2}
B. f'(x) = \frac{2x}{\( x^2 + 1 \)^2}
C. f'(x) = \frac{2}{\( x^2 + 1 \)^2}
D. f'(x) = \frac{-2}{\( x^2 + 1 \)^2}
Question 3
Solve the equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. x = -2
B. x = -1
C. x = 0
D. x = 1
Question 4
Solve the system of linear equations u\sing matrices: \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix} \).
A. \( egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 1 \ 2 \end{bmatrix} \)
B. \( egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 2 \ 1 \end{bmatrix} \)
C. \( egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 4 \end{bmatrix} \)
D. \( egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 4 \ 3 \end{bmatrix} \)
Question 5
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 = 32
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 64
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 256
Question 6
A set of numbers is defined as \( A = \{ x : x^2 - 4x + 3 = 0 \} \). Find the elements of set A.
A. A = \{1, 3\}
B. A = \{2, 3\}
C. A = \{1, 2\}
D. A = \{3, 4\}
Question 7
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 8
Solve the equation \( \sin^2\( x \ \) + \cos^2(x) = 1) for (x) in the interval ([0, 2pi]).
A. 0, \( \frac{pi}{2} \), (pi), \( \frac{3pi}{2} \)
B. 0, \( \frac{pi}{4} \), \( \frac{3pi}{4} \), (pi)
C. 0, \( \frac{pi}{6} \), \( \frac{pi}{3} \), \( \frac{2pi}{3} \)
D. 0, \( \frac{pi}{8} \), \( \frac{3pi}{8} \), \( \frac{5pi}{8} \)
Question 9
Determine the mean of the following dataset: 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 10
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 11
Solve the trigonometric equation \sin^2(x) + \cos^2(x) = 1.
A. x = 0
B. x = π/2
C. x = π
D. x = 2π
Question 12
In the diagram below, the graph of \( y = \frac{1}{2} \sin 2x \) is shown. If the graph passes through the point \( \frac{pi}{4}, 1 \ \) ), find the value of ( x ) when \( y = 0.5 \).
A. 0.5
B. 1.2
C. 1.5
D. 2.0
Question 13
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{1}{2} left\( \frac{4^3}{3} + 3 cdot 4^2 - 2 cdot 4 \right \ \) )
B. \( \frac{1}{2} left\( \frac{4^3}{3} + 3 cdot 4^2 - 2 cdot 4 \right \ \) + 12 )
C. \( \frac{1}{2} left\( \frac{4^3}{3} + 3 cdot 4^2 - 2 cdot 4 \right \ \) - 12 )
D. \( \frac{1}{2} left\( \frac{4^3}{3} + 3 cdot 4^2 - 2 cdot 4 \right \ \) + 24 )
Question 14
A fair six-sided die is rolled. If the number obtained is even, the die is rolled again. If the number obtained is odd, the die is rolled once more. What is the probability that the number obtained is greater than 4?
A. 1/4
B. 1/3
C. 1/2
D. 2/3
Question 15
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. [3, 7, 15, 31, 63]
B. [3, 5, 7, 9, 11]
C. [3, 6, 12, 24, 48]
D. [3, 8, 16, 32, 64]

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: