POST UTME BOWEN UNIVERSITY 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the equation \( 2^x + 2^{x+1} = 3 cdot 2^x \) for ( x ).
A. \( x = 1 \)
B. \( x = 2 \)
C. \( x = 3 \)
D. \( x = 4 \)
Question 2
A curve has equation [ y = x^2 + 2x + 1 ]. Find the area under the curve between x = 0 and x = 2.
A. 7
B. 8
C. 9
D. 10
Question 3
Solve the inequality \( \frac{x}{2} - 1 > 3 \).
A. \( x > 8 \)
B. \( x < 8 \)
C. \( x > 6 \)
D. \( x < 6 \)
Question 4
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 5
Find the mean of the data set ( { 2, 4, 6, 8, 10 } ).
A. \( \frac{2 + 4 + 6 + 8 + 10}{5} \)
B. \( \frac{2 + 4 + 6 + 8 + 10}{4} \)
C. \( \frac{2 + 4 + 6 + 8 + 10}{3} \)
D. \( \frac{2 + 4 + 6 + 8 + 10}{2} \)
Question 6
Find the equation of the circle with center (2, 3) and radius 4.
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 3 \)^2 + \( y - 2 \)^2 = 16
C. \( x - 4 \)^2 + \( y - 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y - 4 \)^2 = 16
Question 7
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).
A. 16
B. 32
C. 64
D. 128
Question 8
Let ( P(x) = x^3 - 6x^2 + 11x - 6 ). Find the value of ( P(2) ).
A. -2
B. 0
C. 2
D. 4
Question 9
Find the vector \( vec{a} + vec{b} \) given that \( vec{a} = egin{bmatrix} 2 \ 3 \end{bmatrix} \) and \( vec{b} = egin{bmatrix} 4 \ 5 \end{bmatrix} \).
A. \( egin{bmatrix} 6 \ 8 \end{bmatrix} \)
B. \( egin{bmatrix} 8 \ 6 \end{bmatrix} \)
C. \( egin{bmatrix} 10 \ 8 \end{bmatrix} \)
D. \( egin{bmatrix} 8 \ 10 \end{bmatrix} \)
Question 10
Find the value of x in the equation \( 2^x = 16 \).
A. 2
B. 3
C. 4
D. 5
Question 11
Let ( f(x) = \frac{1}{x^2 + 1} ). Find the derivative of ( f(x) ) u\sing the chain rule.
A. ( f'(x) = -\frac{2x}{\( x^2 + 1 \)^2} \)
B. ( f'(x) = \frac{2x}{\( x^2 + 1 \)^2} \)
C. ( f'(x) = \frac{1}{\( x^2 + 1 \)^2} \)
D. ( f'(x) = \frac{-2x}{\( x^2 + 1 \)^2} \)
Question 12
Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \) for (0 leq x leq 2pi).
A. \( x = \frac{pi}{4} \)
B. \( x = \frac{pi}{2} \)
C. \( x = \frac{3pi}{4} \)
D. \( x = pi \)
Question 13
Let \( mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix} \) and \( mathbf{b} = egin{pmatrix} -1 \ 4 \end{pmatrix} \). Find the vector \( mathbf{a} \times mathbf{b} \) u\sing the determinant method.
A. \( egin{pmatrix} 10 \ -14 \end{pmatrix} \)
B. \( egin{pmatrix} -10 \ 14 \end{pmatrix} \)
C. \( egin{pmatrix} 14 \ 10 \end{pmatrix} \)
D. \( egin{pmatrix} 0 \ 0 \end{pmatrix} \)
Question 14
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{1}{2} \times 4^2 + 3 \times 4 - 2 \)
B. \( \frac{1}{2} \times 4^2 + 3 \times 4 + 2 \)
C. \( \frac{1}{2} \times 4^2 - 3 \times 4 - 2 \)
D. \( \frac{1}{2} \times 4^2 - 3 \times 4 + 2 \)
Question 15
The area under the curve \( y = x^2 \ \) from \( x = 0 \) to \( x = 2 \) is given by the integral \( \int_0^2 x^2 dx \ \). Evaluate the integral.
A. 4
B. 6
C. 8
D. 10

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: