POST UTME AFE BABALOLA UNIVERSITY 2019 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
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
Find the value of \( \log_{10} \( 1000 \ \) ).
A. 3
B. 4
C. 5
D. 6
Question 4
Solve the inequality \( x^2 - 4x - 5 > 0 \).
A. \( x < -1 \) or \( x > 5 \)
B. \( x < 1 \) or \( x > 5 \)
C. \( x < -1 \) or \( x < 5 \)
D. \( x > 1 \) or \( x < 5 \)
Question 5
Let X be a random variable with probability density function ( f(x) = egin{cases} 2x, & 0 leq x leq 1 \ 0, & \text{otherwise} \end{cases} ). Find the probability that X is greater than 0.5.
A. 0.25
B. 0.5
C. 0.75
D. 1
Question 6
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. x = -2
B. x = 2
C. x = -1
D. x = 1
Question 7
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\( \frac{4^3}{3} + 3 cdot 4^2 - 2 cdot 4 \right \ \) + 3 )
C. \( \frac{1}{2} left\( \frac{4^3}{3} + 3 cdot 4^2 - 2 cdot 4 \right \ \) - 2 )
D. \( \frac{1}{2} left\( \frac{4^3}{3} + 3 cdot 4^2 - 2 cdot 4 \right \ \) + 2 )
Question 8
Solve the system of linear equations \( egin{cases} x + y + z = 6 \ 2x - 3y + z = 3 \ x - 2y + 3z = -2 \end{cases} \).
A. x = 1, y = 2, z = 3
B. x = 2, y = 1, z = 3
C. x = 3, y = 2, z = 1
D. x = 1, y = 3, z = 2
Question 9
Find the magnitude of the vector \( vec{a} = egin{pmatrix} 3 \ 4 \end{pmatrix} \).
A. \( \sqrt{3^2 + 4^2} \)
B. \( \sqrt{3^2 - 4^2} \)
C. \( \sqrt{3^2 + 4^2 + 5^2} \)
D. \( \sqrt{3^2 - 4^2 + 5^2} \)
Question 10
Solve for ( x ) in the equation \( \sin^2 x + \cos^2 x = 1 \).
A. \( x = \frac{pi}{4} \)
B. \( x = \frac{pi}{2} \)
C. \( x = \frac{3pi}{4} \)
D. \( x = \frac{5pi}{4} \)

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: