POST UTME UNIOSUN 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality 2x^2 + 5x - 3 > 0.
A. x < -1 or x > 3/2
B. x < -1 or x < 3/2
C. x > -1 or x < 3/2
D. x > -1 or x > 3/2
Question 2
Find the mean of the following data: 2, 4, 6, 8, 10.
A. 5
B. 6
C. 7
D. 8
Question 3
Find the determinant of the matrix [egin{pmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 3 & 1 & 2 \end{pmatrix}].
A. 2 cdot \( 2 cdot 2 - 1 cdot 1 \) - 1 cdot \( 4 cdot 2 - 1 cdot 3 \) + 3 cdot \( 4 cdot 1 - 2 cdot 3 \)
B. 2 cdot \( 2 cdot 2 - 1 cdot 1 \) - 1 cdot \( 4 cdot 2 - 1 cdot 3 \) - 3 cdot \( 4 cdot 1 - 2 cdot 3 \)
C. 2 cdot \( 2 cdot 2 - 1 cdot 1 \) + 1 cdot \( 4 cdot 2 - 1 cdot 3 \) + 3 cdot \( 4 cdot 1 - 2 cdot 3 \)
D. 2 cdot \( 2 cdot 2 - 1 cdot 1 \) + 1 cdot \( 4 cdot 2 - 1 cdot 3 \) - 3 cdot \( 4 cdot 1 - 2 cdot 3 \)
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 = 16
C. \( x+2 \)^2 + \( y+3 \)^2 = 16
D. \( x-2 \)^2 + \( y-3 \)^2 = 16
Question 5
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. \( x - 2 \)^2 + \( y - 3 \)^2 = 9
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 25
Question 6
Find the value of $\frac{d}{dx}\left\( \frac{1}{x^2}\right \)$.
A. -\frac{2}{x^3}
B. \frac{2}{x^3}
C. -\frac{1}{x^3}
D. \frac{1}{x^3}
Question 7
A set of 10 students scored the following marks in a mathematics test: 85, 90, 78, 92, 88, 76, 95, 89, 91, 84. Calculate the mean and s\tandard deviation of the scores.
A. Mean: 87.5, S\tandard Deviation: 5.5
B. Mean: 88.5, S\tandard Deviation: 6.5
C. Mean: 89.5, S\tandard Deviation: 7.5
D. Mean: 90.5, S\tandard Deviation: 8.5
Question 8
A circle passes through the points (2, 3) and (4, 5). Find the equation of the circle.
A. \( x - 3 \)^2 + \( y - 4 \)^2 = 25
B. \( x - 2 \)^2 + \( y - 3 \)^2 = 25
C. \( x - 4 \)^2 + \( y - 5 \)^2 = 25
D. \( x - 3 \)^2 + \( y - 5 \)^2 = 25
Question 9
Find the derivative of the function f(x) = 3x^2 + 2x - 5.
A. 6x + 2
B. 6x + 2
C. 6x + 2
D. 6x + 2
Question 10
A geometric sequence has first term \( a = 2 \) and common ratio \( r = 3 \). Find the sum of the first 5 terms.
A. \( 2 + 6 + 18 + 54 + 162 = 242 \)
B. \( 2 + 6 + 18 + 54 + 162 = 242 \)
C. \( 2 + 6 + 18 + 54 + 162 = 242 \)
D. \( 2 + 6 + 18 + 54 + 162 = 242 \)
Question 11
Find the value of x in the equation \frac{1}{x+1} + \frac{1}{x-1} = 2.
A. x = 2
B. x = -2
C. x = 1
D. x = -1
Question 12
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 13
A right-angled triangle has a hypotenuse of length 10 cm and one leg of length 6 cm. If the other leg is denoted by (x), what is the value of (x)?
A. 4
B. 6
C. 8
D. 12
Question 14
A histogram of exam scores is shown below. What is the mode of the scores?
A. 60
B. 70
C. 80
D. 90
Question 15
Evaluate the definite integral \int_0^1 x^2 dx.
A. \frac{1}{3}
B. \frac{1}{3}
C. \frac{1}{3}
D. \frac{1}{3}

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