POST UTME EKSU 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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 3
Solve the inequality \( \frac{x}{x-2} > 1 \) for \( x > 2 \).
A. \( x < 0 \)
B. \( x > 4 \)
C. \( x > 2 \)
D. \( x < 2 \)
Question 4
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 5
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 6
The mean of 5 numbers is 15. If one of the numbers is 8, find the sum of the other 4 numbers.
A. 67
B. 68
C. 69
D. 70
Question 7
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 8
Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).
A. \( y = 2x + 1 \)
B. \( y = x + 2 \)
C. \( y = 2x - 1 \)
D. \( y = x - 2 \)
Question 9
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 10
Find the area under the curve $y = x^2$ from $x = 0$ to $x = 2$.
A. 4/3
B. 2/3
C. 1/3
D. 1/2
Question 11
Find the value of ( x ) in the equation \( x^2 + 4x + 4 = 0 \).
A. \( x = -2 \)
B. \( x = 2 \)
C. \( x = -1 \)
D. \( x = 1 \)
Question 12
A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?
A. \frac{1}{6}
B. \frac{1}{3}
C. \frac{2}{3}
D. \frac{5}{6}
Question 13
If ( f(x) = 3x^2 - 2x + 1 ) and ( g(x) = 2x - 1 ), find \( f \circ g \ \)(x) ).
A. 6x^2 - 4x + 1
B. 6x^2 - 4x - 1
C. 6x^2 - 2x - 1
D. 6x^2 - 2x + 1
Question 14
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 = 25
C. \( x - 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y + 3 \)^2 = 25
Question 15
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

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