POST UTME EKSU 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality \( 2x^2 + 5x - 3 > 0 \) u\sing the quadratic formula.
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 2
Solve the inequality \( x^2 - 4x + 4 > 0 \).
A. x < -2
B. x > 2
C. x < 2
D. x > -2
Question 3
Find the volume of the solid formed by revolving the region bounded by the curves \( y = x^2 \) and \( y = 2x \) about the x-axis.
A. \frac{16}{3}\pi
B. \frac{32}{3}\pi
C. \frac{64}{3}\pi
D. \frac{128}{3}\pi
Question 4
A sequence is defined by the formula: \( a_n = 2n + 1 \). Find the 5th term of the sequence.
A. 11
B. 13
C. 15
D. 17
Question 5
Solve for x in the quadratic equation \( x^2 + 5x + 6 = 0 \).
A. -2
B. -1
C. 1
D. 2
Question 6
Solve for x in the equation 2x + 5 = 11.
A. 3
B. 2
C. 4
D. 5
Question 7
Find the volume of the cylinder with radius 4 and height 6.
A. 48\pi
B. 64\pi
C. 96\pi
D. 192\pi
Question 8
Solve the equation \( 2x^2 + 3x - 1 = 0 \) u\sing the quadratic formula.
A. x = \frac{-3 + \sqrt{17}}{4}
B. x = \frac{-3 - \sqrt{17}}{4}
C. x = \frac{-3 + \sqrt{17}}{2}
D. x = \frac{-3 - \sqrt{17}}{2}
Question 9
A histogram has a mean of 25 and a s\tandard deviation of 5. Find the value of x such that P\( x < 30 \) = 0.6.
A. 27
B. 28
C. 29
D. 30
Question 10
In a circle of radius 8 cm, a chord of length 12 cm subt\ends an angle of 60° at the centre. Find the area of the sector.
A. 48\u03c0 cm^2
B. 64\u03c0 cm^2
C. 72\u03c0 cm^2
D. 96\u03c0 cm^2
Question 11
Find the volume of the solid formed by rotating the region bounded by y = x^2, y = 0, and x = 2 about the x-axis.
A. 16\u03c0 cm^3
B. 32\u03c0 cm^3
C. 64\u03c0 cm^3
D. 128\u03c0 cm^3
Question 12
Solve for x in the equation: \( 2x^2 + 5x - 3 = 0 \).
A. -1
B. 1
C. 2
D. 3
Question 13
Find the derivative of the function ( f(x) = \frac{x^2 + 2x - 3}{x^2 - 4} ) u\sing the quotient rule.
A. \frac{2x\( x^2 - 4 \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}
B. \frac{2x\( x^2 - 4 \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}
C. \frac{2x\( x^2 - 4 \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}
D. \frac{2x\( x^2 - 4 \) + \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}
Question 14
Find the value of \( \log_{10} \( 1000 \ \) ).
A. 3
B. 4
C. 5
D. 6
Question 15
Find the volume of the frustum of a cone with height 10cm, lower base radius 4cm, and upper base radius 2cm.
A. 100π cm³
B. 200π cm³
C. 300π cm³
D. 400π cm³

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