POST UTME SKYLINE UNIVERSITY 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the value of x in the equation \( x^2 + 4x + 4 = 0 \).
A. 0
B. -2
C. 2
D. -4
Question 2
Find the volume of the solid formed by revolving the region bounded by the curve [ y = x^2 ] and the line [ y = 4 ] about the x-axis.
A. 64\pi
B. 128\pi
C. 256\pi
D. 512\pi
Question 3
The mean of a set of numbers is 25. If the set contains 5 numbers, and the sum of the first 3 numbers is 60, find the sum of the last 2 numbers.
A. 60 + 50
B. 60 + 100
C. 60 + 150
D. 60 + 200
Question 4
A circle has a radius of 4 cm. What is the area of the circle?
A. 50 cm^2
B. 100 cm^2
C. 200 cm^2
D. 400 cm^2
Question 5
Solve for x in the equation \( 2^x + 3^x = 5^x \).
A. 1
B. 2
C. 3
D. 4
Question 6
Solve the matrix equation \( \begin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 3 \ 4 \end{bmatrix} \).
A. \begin{bmatrix} 1 \ 1 \end{bmatrix}
B. \begin{bmatrix} 1 \ 2 \end{bmatrix}
C. \begin{bmatrix} 2 \ 1 \end{bmatrix}
D. \begin{bmatrix} 3 \ 4 \end{bmatrix}
Question 7
A circle has a radius of 5 cm. Find the area of the circle.
A. 50π
B. 100π
C. 150π
D. 200π
Question 8
A histogram is constructed u\sing the following data: [ 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ]. The width of each bar is 1 unit. Find the mean of the data.
A. 6
B. 7
C. 8
D. 9
Question 9
Find the derivative of the function ( f(x) = \frac{1}{2x^2 + 3x - 1} ) u\sing the quotient rule.
A. \frac{-4x + 3}{\( 2x^2 + 3x - 1 \)^2}
B. \frac{4x + 3}{\( 2x^2 + 3x - 1 \)^2}
C. \frac{4x - 3}{\( 2x^2 + 3x - 1 \)^2}
D. \frac{-4x - 3}{\( 2x^2 + 3x - 1 \)^2}
Question 10
Let X and Y be indep\endent events with P(X) = 0.4 and P(Y) = 0.6. Find P(X ∩ Y) u\sing the formula for indep\endent events.
A. 0.24
B. 0.36
C. 0.48
D. 0.64
Question 11
A sequence is defined as an = 2n + 1, where n is a positive integer. What is the sum of the first 5 terms of the sequence?
A. 15
B. 20
C. 25
D. 30
Question 12
A sequence is defined by [ a_n = 2n + 1 ]. Find the sum of the first 5 terms of the sequence.
A. 15
B. 25
C. 35
D. 45
Question 13
In a geometric sequence with first term 2 and common ratio 3, find the sum of the first five terms.
A. 2 + 6 + 18 + 54 + 162
B. 2 + 6 + 18 + 54 + 162 + 486
C. 2 + 6 + 18 + 54 + 162 + 486 + 1458
D. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374
Question 14
Solve the inequality 2x^2 + 5x - 3 > 0 u\sing the quadratic formula.
A. x < -1 or x > 3/2
B. x < 1 or x > -3/2
C. x < -3/2 or x > 1
D. x < 3/2 or x > -1
Question 15
Find the determinant of the matrix [ egin{array}{ccc} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{array} ].
A. -120
B. 120
C. 0
D. -60

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