POST UTME AFE BABALOLA UNIVERSITY 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the value of \( \sin\( 2x \ \) ) given that \( \sin\( x \ \) = \frac{1}{2} ) and \( \cos\( x \ \) = \frac{\sqrt{3}}{2} ).
A. \( \frac{\sqrt{3}}{2} \)
B. \( \frac{1}{2} \)
C. \( \frac{\sqrt{3}}{2} \)
D. \( \frac{1}{2} \)
Question 2
Solve the inequality \( 2x^2 + 5x - 3 > 0 \) u\sing the quadratic formula.
A. x < -1 or x > 3/2
B. x < 1 or x > -3/2
C. x < -3/2 or x > 1
D. x < 3/2 or x > -1
Question 3
Find the sum of the first 10 terms of the geometric series \( 2x^2 + 3x + 1 \) with common ratio \( r = 2 \).
A. 2^10 + 3*2^9 + 1
B. 2^10 + 3*2^9 + 2
C. 2^10 + 3*2^9 + 3
D. 2^10 + 3*2^9 + 4
Question 4
A binary operation \(*\) on the set \{0, 1\} is defined as follows: \begin{align*} 0*0&=0,\ 0*1=1,\ 1*0=1,\ 1*1=0. \end{align*} Find the value of \(\( 1*0 \)*\( 1*0)\ \).
A. 0
B. 1
C. 2
D. 3
Question 5
A histogram of exam scores is shown below. Find the mean score.
A. 50
B. 60
C. 70
D. 80
Question 6
Solve the inequality \( x^2 - 4x + 3 > 0 \) u\sing the quadratic formula.
A. \( x < 1 \) or \( x > 3 \)
B. \( x > 1 \) or \( x < 3 \)
C. \( x < 1 \) and \( x > 3 \)
D. \( x > 1 \) and \( x < 3 \)
Question 7
Find the equation of the circle with center ( (1, 2) ) and radius 3.
A. \( x - 1 \)^2 + \( y - 2 \)^2 = 9
B. \( x + 1 \)^2 + \( y - 2 \)^2 = 9
C. \( x - 1 \)^2 + \( y + 2 \)^2 = 9
D. \( x + 1 \)^2 + \( y + 2 \)^2 = 9
Question 8
Solve the system of equations \( egin{cases} x + y = 2 \ 2x - y = 3 \end{cases} \) u\sing matrices.
A. \( x = 1, y = 1 \)
B. \( x = 2, y = 0 \)
C. \( x = 0, y = 2 \)
D. \( x = 1, y = 2 \)
Question 9
Solve the system of linear equations \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix} \).
A. \begin{bmatrix} 1 \ 2 \end{bmatrix}
B. \begin{bmatrix} 2 \ 3 \end{bmatrix}
C. \begin{bmatrix} 3 \ 4 \end{bmatrix}
D. \begin{bmatrix} 4 \ 5 \end{bmatrix}
Question 10
A random variable X has a probability distribution given by P(X) = \( 1/2 \)^\( X-1 \) for X = 1, 2, 3, ... . Find the probability that X is greater than 2.
A. 1/2
B. 1/4
C. 1/8
D. 3/4
Question 11
Find the value of \( \cos\( 2x \ \) ) given that \( \sin\( x \ \) = \frac{1}{2} ) and \( \cos\( x \ \) = \frac{\sqrt{3}}{2} ).
A. \( -\frac{1}{2} \)
B. \( \frac{1}{2} \)
C. \( \frac{\sqrt{3}}{2} \)
D. \( -\frac{\sqrt{3}}{2} \)
Question 12
In the diagram below, a line passes through points A(2, 3) and B(4, 5). If the line has a slope of 2, what is the equation of the line in slope-intercept form?
A. y = 2x + 1
B. y = 2x - 1
C. y = 2x + 2
D. y = 2x - 2
Question 13
Find the sum of the first 10 terms of the geometric series 2x + 3x^2 + 4x^3 + ...
A. 1040x^10
B. 1050x^10
C. 1060x^10
D. 1070x^10
Question 14
Find the derivative of the function ( f(x) = x^3 - 2x^2 + 3x - 1 ) u\sing the power rule.
A. ( f'(x) = 3x^2 - 4x + 3 )
B. ( f'(x) = 3x^2 - 4x + 3 )
C. ( f'(x) = 3x^2 - 4x + 3 )
D. ( f'(x) = 3x^2 - 4x + 3 )
Question 15
Find the surface area of the solid formed by revolving the region bounded by the parabola y = x^2, the x-axis, and the line x = 2 about the x-axis.
A. 64\pi/5
B. 128\pi/5
C. 256\pi/5
D. 512\pi/5

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: