POST UTME IMS U 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A histogram of exam scores is shown below. If the mean score is 75, what is the median score?
A. 70
B. 75
C. 80
D. 85
Question 2
Solve the inequality \( \frac{x}{x - 1} > 1 \).
A. \( x < -1 \) or \( x > 1 \)
B. \( x < 0 \) or \( x > 1 \)
C. \( x < 0 \) or \( x > 2 \)
D. \( x < -1 \) or \( x > 2 \)
Question 3
Solve the inequality $|2x - 1| \geq 3$.
A. $x \leq -1$ or $x \geq 2$
B. $x \leq -2$ or $x \geq 1$
C. $x \leq 1$ or $x \geq 2$
D. $x \leq -1$ or $x \geq 3$
Question 4
Find the value of $\frac{d}{dx} \left\( \frac{1}{x^2 + 1} \right \)$ u\sing the quotient rule.
A. \frac{-2x}{\( x^2 + 1 \)^2}
B. \frac{2x}{\( x^2 + 1 \)^2}
C. \frac{-2}{\( x^2 + 1 \)^2}
D. \frac{2}{\( x^2 + 1 \)^2}
Question 5
Find the value of x in the equation \\frac{1}{x} + \\frac{1}{x+1} = \\frac{1}{2}.
A. -1
B. 1
C. 2
D. 3
Question 6
A solid right circular cone has a height of 8 cm and a base radius of 4 cm. Find the volume of the cone in cubic centimeters.
A. 256\pi
B. 512\pi
C. 768\pi
D. 1024\pi
Question 7
Determine the value of $x$ in the equation $\left| 2x - 3 \right| + 2 = 7$.
A. 1
B. 2
C. 3
D. 4
Question 8
A circle has a diameter of 14 cm. Find the area of the circle in square centimeters.
A. 154\pi
B. 196\pi
C. 245\pi
D. 308\pi
Question 9
A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, how much profit do they make in a day?
A. ₦1250
B. ₦12500
C. ₦125000
D. ₦1250000
Question 10
Find the derivative of ( f(x) = \frac{x^2 + 2x - 3}{x^2 - 4} ) u\sing the quotient rule.
A. \( \frac{\( x^2 - 4 \)\( 2x + 2 \ \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
B. \( \frac{\( x^2 - 4 \)\( 2x + 2 \ \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
C. \( \frac{\( x^2 - 4 \)\( 2x + 2 \ \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
D. \( \frac{\( x^2 - 4 \)\( 2x + 2 \ \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2} )
Question 11
Solve the equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. \left\( -2, \ 0 \right \)
B. \left\( 0, \ -2 \right \)
C. \left\( -2, \ -2 \right \)
D. \left\( 2, \ 0 \right \)
Question 12
A random variable ( X ) has a probability distribution given by \( P\( X = x \ \) = \frac{1}{2} ) for \( x = 1, 2, 3 \). Find the probability that ( X ) is greater than 2.
A. \( \frac{1}{4} \)
B. \( \frac{1}{2} \)
C. \( \frac{3}{4} \)
D. \( \frac{1}{2} \)
Question 13
Find the equation of the circle pas\sing through the points (2, 3), (4, 1), and \( -1, 2 \).
A. x^2 + y^2 - 7x + 5y + 12 = 0
B. x^2 + y^2 - 5x - 3y + 4 = 0
C. x^2 + y^2 + 3x - 7y + 2 = 0
D. x^2 + y^2 - 3x + 7y - 4 = 0
Question 14
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix} \).
A. ( 0 )
B. ( 1 )
C. \( -1 \)
D. ( 2 )
Question 15
Find the sum of the first 10 terms of the arithmetic sequence 2, 5, 8, ...
A. 55
B. 65
C. 75
D. 85

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