POST UTME COVENANT UNIVERSITY 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circle has a radius of 5cm. Find the area of the circle.
A. 25π cm^2
B. 50π cm^2
C. 75π cm^2
D. 100π cm^2
Question 2
Solve the equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. \frac{-4 \pm \sqrt{16 - 16}}{2}
B. \frac{-4 \pm \sqrt{16 + 16}}{2}
C. \frac{-4 \pm \sqrt{16 - 4}}{2}
D. \frac{-4 \pm \sqrt{16 + 4}}{2}
Question 3
Find the value of $x$ in the equation $\log_{10} \( x^2 \) = 4$.
A. 2
B. 4
C. 8
D. 16
Question 4
Find the probability of drawing two cards from a deck of 52 cards such that the second card drawn is a heart given that the first card drawn is a heart.
A. 1/3
B. 1/4
C. 1/5
D. 1/6
Question 5
In a circle of radius 8cm, a chord of length 12cm subt\ends an angle of 60° at the centre. Find the area of the sector formed by the chord and the radii to the \ends of the chord.
A. 48π cm^2
B. 60π cm^2
C. 72π cm^2
D. 80π cm^2
Question 6
A histogram is shown below. What is the mean of the data represented by the histogram?
A. 20
B. 25
C. 30
D. 35
Question 7
Find the area under the curve \( y = \frac{1}{2}x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 4 \).
A. 24
B. 36
C. 48
D. 60
Question 8
Find the derivative of the function ( f(x) = \sin\( x^2 \) ) u\sing the chain rule.
A. f'(x) = 2x \cos\( x^2 \)
B. f'(x) = -2x \cos\( x^2 \)
C. f'(x) = x^2 \cos\( x^2 \)
D. f'(x) = -x^2 \cos\( x^2 \)
Question 9
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 = 3x - 2
D. y = 3x + 2
Question 10
Solve the equation $\frac{dy}{dx} = \frac{x^2 + 1}{x^2 - 1}$ for $y$.
A. y = \frac{1}{2} \log \( x^2 - 1 \) + C
B. y = \frac{1}{2} \log \( x^2 + 1 \) + C
C. y = \frac{1}{2} \log \( x^2 - 1 \) - C
D. y = \frac{1}{2} \log \( x^2 + 1 \) - C
Question 11
A circle has equation \( x - 2 \ \)^2 + \( y - 3 \)^2 = 4 ). Find the equation of the \tangent line at the point ( (3, 5) ).
A. y = -1x + 8
B. y = 1x + 2
C. y = -2x + 7
D. y = 2x - 3
Question 12
Solve for ( x ) in the equation \( 2^x + 5^x = 7^x \).
A. 1
B. 2
C. 3
D. 4
Question 13
A set $S$ contains the elements $\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$. If $T$ is a subset of $S$ such that $T$ contains the elements of $S$ that are greater than $5$, what is the number of elements in $T$?
A. 5
B. 6
C. 7
D. 8
Question 14
A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find its volume.
A. \( 6\times4\times3 \)
B. \( 6\times4\times3 \)
C. \( 6\times4\times3 \)
D. \( 6\times4\times3 \)
Question 15
Solve the system of linear equations u\sing matrices: \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 7 \ 10 \end{bmatrix} \).
A. [1, 2]
B. [2, 3]
C. [3, 4]
D. [4, 5]

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