POST UTME IGBINEDION UNIVERSITY 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the derivative of the function ( f(x) = \frac{1}{\sqrt{1 - x^2}} ) u\sing the chain rule.
A. \( \frac{-x}{\( 1 - x^2 \ \)^{3/2}} )
B. \( \frac{x}{\( 1 - x^2 \ \)^{3/2}} )
C. \( \frac{1}{\( 1 - x^2 \ \)^{3/2}} )
D. \( \frac{-1}{\( 1 - x^2 \ \)^{3/2}} )
Question 2
Solve the equation \( 2x^2 + 3x - 1 = 0 \) u\sing the quadratic formula.
A. \( x = \frac{-3 pm \sqrt{9 + 8}}{4} \)
B. \( x = \frac{-3 pm \sqrt{9 - 8}}{4} \)
C. \( x = \frac{-3 pm \sqrt{9 + 4}}{4} \)
D. \( x = \frac{-3 pm \sqrt{9 - 4}}{4} \)
Question 3
Find the mean of the data set ( 2, 4, 6, 8, 10 ).
A. ( 6 )
B. ( 8 )
C. ( 10 )
D. ( 12 )
Question 4
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4 \)
B. \( \frac{1}{2} \times 4^2 + 3 \times 4 - 2 \)
C. \( \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4^2 \)
D. \( \frac{1}{2} \times 4^3 + 3 \times 4 - 2 \times 4 \)
Question 5
Solve the inequality $\frac{1}{x-1} > \frac{2}{x+1}$.
A. x<-1
B. x>-1
C. x<1
D. x>1
Question 6
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -1 \) or \( x > \frac{3}{2} \)
B. \( x < -1 \) or \( x < \frac{3}{2} \)
C. \( x > -1 \) or \( x < \frac{3}{2} \)
D. \( x < -1 \) or \( x > \frac{3}{2} \)
Question 7
Find the mean deviation of the data set: 2, 4, 6, 8, 10.
A. 2
B. 4
C. 6
D. 8
Question 8
Find the equation of the line pas\sing through the points ( (1, 2) ) and ( (3, 4) ).
A. \( y = \frac{4 - 2}{3 - 1} \( x - 1 \ \) + 2 )
B. \( y = \frac{4 - 2}{3 - 1} \( x - 1 \ \) + 4 )
C. \( y = \frac{4 - 2}{3 - 1} \( x - 1 \ \) + 6 )
D. \( y = \frac{4 - 2}{3 - 1} \( x - 1 \ \) + 8 )
Question 9
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( 16 + 24 - 8 = 32 \)
B. \( \frac{1}{2} \times 4^2 + 3 \times 4 - 2 = 10 \)
C. \( \frac{1}{2} \times 4^2 + 3 \times 4 - 2 = 16 \)
D. \( \frac{1}{2} \times 4^2 + 3 \times 4 - 2 = 24 \)
Question 10
Solve the system of equations u\sing matrices: \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix} \).
A. \( x = 1, y = 2 \)
B. \( x = 2, y = 1 \)
C. \( x = 3, y = 4 \)
D. \( x = 4, y = 3 \)
Question 11
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix} \).
A. -1
B. 0
C. 1
D. 2
Question 12
Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \ \).
A. \( x = \frac{\pi}{2} \ \)
B. \( x = \frac{\pi}{4} \ \)
C. \( x = \frac{3\pi}{4} \ \)
D. \( x = \frac{5\pi}{4} \ \)
Question 13
Solve the inequality \( 2x^2 - 3x + 1 > 0 \).
A. \( x < -\frac{1}{2} \) or \( x > \frac{1}{2} \)
B. \( x < -\frac{1}{2} \) or \( x < \frac{1}{2} \)
C. \( x > -\frac{1}{2} \) or \( x > \frac{1}{2} \)
D. \( x > -\frac{1}{2} \) or \( x < \frac{1}{2} \)
Question 14
Solve the inequality \( 2x^2 - 5x - 3 > 0 \).
A. \( x < -1 \) or \( x > 3 \)
B. \( x < 1 \) or \( x > 3 \)
C. \( x < -1 \) or \( x < 3 \)
D. \( x > 1 \) or \( x > 3 \)
Question 15
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix} \).
A. -1
B. 0
C. 1
D. 2

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