POST UTME EKSU 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the equation of the circle with center ( (3, 4) ) and radius 5.
A. \( x^2 + y^2 - 6x - 8y + 25 = 0 \)
B. \( x^2 + y^2 - 6x - 8y - 25 = 0 \)
C. \( x^2 + y^2 - 6x + 8y + 25 = 0 \)
D. \( x^2 + y^2 - 6x + 8y - 25 = 0 \)
Question 2
Find the value of ( x ) in the equation \( 2x^2 + 5x - 3 = 0 \).
A. \( x = -1 \)
B. \( x = 3 \)
C. \( x = -3 \)
D. \( x = 1 \)
Question 3
In the coordinate plane, 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 = x - 2
D. y = x + 2
Question 4
A cylindrical \tank with a radius of 7m and height of 10m is filled with water to a depth of 8m. Find the volume of water in the \tank, correct to 3 significant figures.
A. 1496.8
B. 1496.9
C. 1496.7
D. 1496.6
Question 5
Find the value of $x$ in the equation $2x^2 + 5x - 3 = 0$ u\sing the quadratic formula.
A. 1
B. -1
C. 2
D. -2
Question 6
A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, find the probability that it is not blue.
A. \frac{1}{4}
B. \frac{1}{2}
C. \frac{3}{4}
D. \frac{5}{8}
Question 7
Find the value of $\int_0^1 \frac{1}{x^2 + 2x + 2} dx$.
A. 1/2
B. 1/3
C. 1/4
D. 1/5
Question 8
Find the derivative of ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. f'(x) = \frac{-2x}{\( x^2 + 1 \)^2}
B. f'(x) = \frac{2x}{\( x^2 + 1 \)^2}
C. f'(x) = \frac{-x}{\( x^2 + 1 \)^2}
D. f'(x) = \frac{x}{\( x^2 + 1 \)^2}
Question 9
Solve the matrix equation \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 11 \end{bmatrix} \).
A. x = 1, y = 2
B. x = 2, y = 1
C. x = 1, y = 3
D. x = 3, y = 1
Question 10
Find the equation of the circle with center $\( -2, 3 \)$ and radius 4.
A. \( x + 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 2 \)^2 + \( y + 3 \)^2 = 16
C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
Question 11
Solve the inequality $|x - 2| > 3$.
A. x < -1 or x > 5
B. x < 1 or x > 5
C. x < -1 or x > 2
D. x < 1 or x > 2
Question 12
Solve for x in the equation \( \begin{vmatrix} 2 & 3 \ 4 & 5 \ \end{vmatrix} = 0 \).
A. x = \frac{1}{2}
B. x = \frac{1}{3}
C. x = \frac{1}{4}
D. x = \frac{1}{5}
Question 13
Find the area under the curve \( y = \frac{1}{x^2 + 1} \) from \( x = 0 \) to \( x = 1 \).
A. 0.46
B. 0.56
C. 0.66
D. 0.76
Question 14
Solve for x in the equation \( \sin\( 2x \ \) = \frac{1}{2} ) in the interval ( [0, 2pi] ).
A. \frac{\pi}{6}
B. \frac{\pi}{3}
C. \frac{\pi}{2}
D. \frac{2\pi}{3}
Question 15
Solve the system of equations \( x + y = 4 \) and \( x - y = 2 \).
A. \( x = 3, y = 1 \)
B. \( x = 2, y = 2 \)
C. \( x = 1, y = 3 \)
D. \( x = 4, y = 0 \)

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