POST UTME IGBINEDION UNIVERSITY 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3/4.
A. 2.9375
B. 3.0625
C. 3.125
D. 3.1875
Question 2
Find the surface area of the solid formed by rotating the region bounded by \( y = x^2 \) and \( y = x \) about the x-axis.
A. ( 2 pi )
B. ( 4 pi )
C. ( 6 pi )
D. ( 8 pi )
Question 3
Solve for ( x ) in the equation \( 2x^2 + 5x - 3 = 0 \).
A. \frac{-5 \pm \sqrt{109}}{4}
B. \frac{-5 \pm \sqrt{25}}{4}
C. \frac{-5 \pm \sqrt{9}}{4}
D. \frac{-5 \pm \sqrt{1}}{4}
Question 4
Find the derivative of ( 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{-2}{\( x^2 + 1 \)^2}
D. \frac{2}{\( x^2 + 1 \)^2}
Question 5
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, 1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)
Question 6
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 7
Solve the matrix equation \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix} \).
A. x = 1, y = 2
B. x = 2, y = 1
C. x = 3, y = 4
D. x = 4, y = 3
Question 8
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. \( -2, 0 \)
B. \( -1, 0 \)
C. \( 0, -2 \)
D. \( 0, -1 \)
Question 9
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).
A. 6
B. 12
C. 18
D. 24
Question 10
Find the determinant of the matrix \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. ( 0 )
B. ( 1 )
C. \( -1 \)
D. ( 2 )
Question 11
Find the value of x in the equation \( \sqrt{x + 2} = 3 \).
A. 7
B. 8
C. 9
D. 10
Question 12
Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).
A. \left\( x - 2 \right \)^2 + \left\( y - 3 \right \)^2 = 16
B. \left\( x - 3 \right \)^2 + \left\( y - 2 \right \)^2 = 16
C. \left\( x - 4 \right \)^2 + \left\( y - 5 \right \)^2 = 16
D. \left\( x - 5 \right \)^2 + \left\( y - 4 \right \)^2 = 16
Question 13
Find the volume of the solid formed by rotating the region bounded by \( y = x^2 \) and \( y = x \) about the x-axis.
A. \( \frac{1}{3} pi \)
B. \( \frac{1}{2} pi \)
C. \( \frac{2}{3} pi \)
D. \( \frac{1}{4} pi \)
Question 14
A histogram is constructed with 5 classes of equal width. The first class has a frequency of 10, the second class has a frequency of 15, and the third class has a frequency of 20. What is the mean of the histogram?
A. 15
B. 20
C. 25
D. 30
Question 15
Solve the system of equations \begin{align*} x+y+z&=3, \ x+2y+3z&=6, \ x+3y+6z&=12. \end{align*}
A. \begin{align*} x&=1, \ y&=1, \ z&=1. \end{align*}
B. \begin{align*} x&=2, \ y&=1, \ z&=0. \end{align*}
C. \begin{align*} x&=3, \ y&=0, \ z&=0. \end{align*}
D. \begin{align*} x&=0, \ y&=0, \ z&=0. \end{align*}

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