POST UTME WELLSPRING UNIVERSITY 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \).
A. x = -2 or x = -3
B. x = 2 or x = 3
C. x = -1 or x = -6
D. x = 1 or x = 6
Question 2
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 - 2
D. y = x + 2
Question 3
A histogram of the heights of students in a class has a mean of 170 cm and a s\tandard deviation of 10 cm. What is the probability that a randomly selected student is taller than 180 cm?
A. 0.1587
B. 0.3413
C. 0.5
D. 0.8413
Question 4
Solve the inequality \frac{x+2}{x-1} > 0.
A. \( -\infty, -2 \) \cup \( 1, \infty \)
B. \( -\infty, -2 \) \cup \( 1, \infty \)
C. \( -\infty, -2 \) \cup \( 1, \infty \)
D. \( -\infty, -2 \) \cup \( 1, \infty \)
Question 5
A fair six-sided die is rolled. If the number 5 is rolled, a second die is rolled. What is the probability that the sum of the numbers on the two dice is 10?
A. \( \frac{1}{6} \times \frac{1}{6} \)
B. \( \frac{1}{6} \times \frac{5}{6} \)
C. \( \frac{1}{6} + \frac{1}{6} \)
D. \( \frac{1}{6} \times \frac{6}{6} \)
Question 6
A set of 5 integers has a mean of 10. If 2 is added to each integer, what is the new mean?
A. ( 12 )
B. ( 10 )
C. ( 11 )
D. ( 9 )
Question 7
Solve for x in the equation \log_{10}\( x^2 \) = 4.
A. \pm 10
B. \pm 100
C. \pm 1000
D. \pm 10000
Question 8
A histogram of exam scores has a mean of 70 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score will be between 60 and 80?
A. 0.68
B. 0.85
C. 0.95
D. 0.99
Question 9
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 50
C. 60
D. 70
Question 10
Solve for x in the equation \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 11 \end{bmatrix} \).
A. \( x = 1, y = 2 \)
B. \( x = 2, y = 3 \)
C. \( x = 3, y = 4 \)
D. \( x = 4, y = 5 \)
Question 11
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 = 25
C. \( x-2 \)^2 + \( y-3 \)^2 = 36
D. \( x-2 \)^2 + \( y-3 \)^2 = 49
Question 12
Solve the system of equations \begin{align*} x + y &= 4 \ 2x - 3y &= 5 \end{align*} u\sing matrices.
A. \begin{pmatrix} 1 \ 2 \end{pmatrix}
B. \begin{pmatrix} 2 \ 1 \end{pmatrix}
C. \begin{pmatrix} 3 \ 4 \end{pmatrix}
D. \begin{pmatrix} 4 \ 3 \end{pmatrix}
Question 13
A fair six-sided die is rolled. What is the probability that the number rolled is a multiple of 3?
A. 1/2
B. 1/3
C. 2/3
D. 1/6
Question 14
A circle has a radius of 5 cm. Find the area of the circle.
A. \( pi \times 5^2 \)
B. \( 2 pi \times 5 \)
C. \( pi \times 5 \)
D. \( 2 pi \times 5^2 \)
Question 15
Solve the inequality \( \frac{x}{x+1} > \frac{1}{x+1} \) for \( x in mathbb{R} setminus {-1} \).
A. \( x > 0 \)
B. \( x < -1 \)
C. \( x > 1 \)
D. \( x < 0 \)

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