POST UTME SUMMIT UNIVERSITY 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. \( x = -2 \)
B. \( x = 2 \)
C. \( x = -1 \)
D. \( x = 1 \)
Question 2
Find the mean of the numbers 2, 4, 6, 8, 10.
A. 6
B. 8
C. 10
D. 12
Question 3
Determine the value of x in the equation \( \frac{1}{x} + \frac{1}{x+1} = \frac{1}{2} \).
A. 1
B. 2
C. 3
D. 4
Question 4
Solve the system of equations \n\begin{align*} \n 2x+y &= 4, \n 3x-2y &= 5. \n\end{align*}
A. (1, 2)
B. (2, 1)
C. (3, 4)
D. (4, 3)
Question 5
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. y = x + 1
B. y = x - 1
C. y = -x + 1
D. y = x - 2
Question 6
Solve the inequality \( x^2 - 4x + 3 > 0 \).
A. \( x < 1 \) or \( x > 3 \)
B. \( x < 3 \) or \( x > 1 \)
C. \( x < 1 \) or \( x < 3 \)
D. \( x > 1 \) or \( x < 3 \)
Question 7
Find the area under the curve y = x^2 + 2x - 3 from x = 0 to x = 3.
A. 9
B. 18
C. 27
D. 36
Question 8
Find the sum of the first 10 terms of the arithmetic series with first term 2 and common difference 3.
A. 2 + 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26 + 29
B. 2 + 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26 + 29 + 32
C. 2 + 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26 + 29 + 32 + 35
D. 2 + 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26 + 29 + 32 + 35 + 38
Question 9
Solve the inequality $|x-2|>3$.
A. \( -\infty, -1 \) \cup \( 5, \infty \)
B. \( -\infty, 1 \) \cup \( 5, \infty \)
C. \( -\infty, -1 \) \cup (2, 5)
D. \( -\infty, 1 \) \cup (2, 5)
Question 10
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -\frac{3}{2} \) or \( x > \frac{1}{2} \)
B. \( x < -\frac{1}{2} \) or \( x > \frac{3}{2} \)
C. \( x < -\frac{3}{2} \) or \( x < \frac{1}{2} \)
D. \( x > -\frac{3}{2} \) or \( x < \frac{1}{2} \)
Question 11
Find the sum of the first 5 terms of the geometric series \( 2x^2 - 3x + 1 \).
A. \( 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + 2x^2 - 3x + 1 \)
B. \( 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + 2x^2 \)
C. \( 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + 1 \)
D. \( 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + 2x^2 - 3x + 1 + 2x^2 - 3x \)
Question 12
Solve the equation x^2 + 2x - 3 = 0.
A. x = -3 or x = 1
B. x = -1 or x = 3
C. x = -1 or x = -3
D. x = 1 or x = 3
Question 13
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -\infty, -1 \) \cup \( 3, \infty \)
B. \( -\infty, 1 \) \cup \( 3, \infty \)
C. \( -\infty, -3 \) \cup \( 1, \infty \)
D. \( -\infty, 3 \) \cup \( 1, \infty \)
Question 14
Solve the inequality \( \frac{x-1}{x+1} < 0 \).
A. \( -1, 1 \)
B. \( -1, 0 \) U (1, ∞)
C. \( -∞, -1 \) U (0, 1)
D. \( -∞, ∞ \) - \( -1, 1 \)
Question 15
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}

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