POST UTME EKSU 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -\frac{5}{2} \) or \( x > \frac{3}{2} \)
B. \( x < -\frac{3}{2} \) or \( x > \frac{5}{2} \)
C. \( x < -\frac{5}{2} \) or \( x < \frac{3}{2} \)
D. \( x < -\frac{3}{2} \) or \( x < \frac{5}{2} \)
Question 2
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 3
Find the equation of the line pas\sing through the points ( (1, 2) ) and ( (3, 4) ).
A. \( y = \frac{4}{2}x + \frac{2}{2} \)
B. \( y = \frac{4}{2}x - \frac{2}{2} \)
C. \( y = \frac{2}{2}x + \frac{4}{2} \)
D. \( y = \frac{2}{2}x - \frac{4}{2} \)
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 = 4 )
C. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 16 )
D. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 4 )
Question 5
Solve the equation \( \sin^2 x + \cos^2 x = 1 \).
A. \( x = \frac{pi}{2} \)
B. \( x = \frac{pi}{4} \)
C. \( x = \frac{3pi}{4} \)
D. \( x = \frac{5pi}{4} \)
Question 6
A set A contains 3 elements. If we select 2 elements at random from set A, what is the probability that the selected elements are not distinct?
A. 1/3
B. 1/2
C. 2/3
D. 3/4
Question 7
The equation of a circle is \( x^2 + y^2 - 6x + 4y + 12 = 0 \). Find the coordinates of the center of the circle.
A. \( 3, -2 \)
B. (2, 3)
C. (1, 1)
D. (4, 4)
Question 8
Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.
A. 48\pi cm^3
B. 64\pi cm^3
C. 80\pi cm^3
D. 96\pi cm^3
Question 9
A sequence is defined by the recurrence relation \( a_n = 2a_{n-1} + 1 \) with initial term \( a_1 = 3 \). Find the value of \( a_5 \).
A. 31
B. 32
C. 33
D. 34
Question 10
A particle moves along the curve y = x^2 + 2x + 1. Find the equation of the \tangent line at the point where x = -1.
A. y = -2x + 3
B. y = -x + 3
C. y = 2x + 1
D. y = x + 1
Question 11
A set of 5 consecutive integers has a median of 10. Find the sum of the integers.
A. 250
B. 300
C. 350
D. 400
Question 12
Solve the equation \( \sin^2 x + \cos^2 x = 1 \) for (x).
A. \( x = \frac{pi}{4} \)
B. \( x = \frac{3pi}{4} \)
C. \( x = \frac{5pi}{4} \)
D. \( x = \frac{7pi}{4} \)
Question 13
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 14
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 15
Solve the system of equations \( egin{cases}x + y = 2\x - y = 1\end{cases} \).
A. \( x = 1, y = 1 \)
B. \( x = 1, y = 2 \)
C. \( x = 2, y = 1 \)
D. \( x = 2, y = 2 \)

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