POST UTME COVENANT UNIVERSITY 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the derivative of the function ( f(x) = 3x^2 - 2x + 1 ) u\sing the chain rule.
A. ( f'(x) = 6x - 2 )
B. ( f'(x) = 6x + 2 )
C. ( f'(x) = 6x^2 - 2 )
D. ( f'(x) = 6x^2 + 2 )
Question 2
Find the volume of the frustum of a cone with height 10cm, lower base radius 4cm, and upper base radius 2cm.
A. 20π
B. 30π
C. 40π
D. 50π
Question 3
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 4
Find the volume of the solid formed by rotating the region bounded by the curves \( y = x^2 \) and \( y = 2x \) about the x-axis.
A. \frac{16}{3}
B. \frac{20}{3}
C. \frac{24}{3}
D. \frac{28}{3}
Question 5
A rec\tangular prism has dimensions 5 cm, 6 cm, and 7 cm. Find the volume of the prism.
A. 210
B. 240
C. 270
D. 300
Question 6
Solve the system of equations \( egin{cases} x + y = 4 \ 2x - y = 3 \end{cases} \).
A. \( x = 2, y = 2 \)
B. \( x = 2, y = 6 \)
C. \( x = 6, y = 2 \)
D. \( x = 6, y = 6 \)
Question 7
In the diagram below, the vector µA = 2i + 3j and vector µB = i - 2j. What is the magnitude of the resul\tant vector µA + µB?
A. 1.0
B. 3.0
C. 5.0
D. 7.0
Question 8
Find the equation of the circle with center ( C(2,3) ) and radius \( r = 4 \).
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 9
A number is represented in base 8 as 1234. What is the value of this number in base 10?
A. 512
B. 768
C. 1024
D. 1280
Question 10
Solve for $x$: $\log_{10} \( x^2 \) = 4$.
A. 2
B. 4
C. 8
D. 16
Question 11
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 + 1
D. y = x - 1
Question 12
Two events, A and B, are indep\endent. If P(A) = 0.4 and P(B) = 0.6, find P(A ∩ B).
A. 0.24
B. 0.36
C. 0.48
D. 0.60
Question 13
A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. What is the volume of the prism?
A. 72
B. 80
C. 88
D. 96
Question 14
Find the equation of the line pas\sing through the points ( P(2,3) ) and ( Q(4,5) ).
A. \( y = x + 1 \)
B. \( y = x - 1 \)
C. \( y = 2x - 1 \)
D. \( y = 2x + 1 \)
Question 15
Find the value of $\sin(2x)$ given that $\sin(x) = \frac{3}{5}$ and $\cos(x) = \frac{4}{5}$.
A. \frac{24}{25}
B. \frac{24}{25}
C. \frac{24}{25}
D. \frac{24}{25}

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