POST UTME EKSU 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the derivative of the function \( f(x) = 3x^2 + 2x - 5 \).
A. 6x + 2
B. 6x - 2
C. 3x + 2
D. 3x - 2
Question 2
Solve the system of equations \( \begin{cases} 2x + 3y = 7 \ 4x - 2y = -3 \end{cases} \).
A. x = 1, y = 2
B. x = 2, y = 1
C. x = 3, y = 4
D. x = 4, y = 5
Question 3
A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 4
A set of exam scores has a mean of 75 and a s\tandard deviation of 10. If a new score of 90 is added to the set, what is the new mean?
A. 76
B. 77
C. 78
D. 79
Question 5
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. x = -2
B. x = -1
C. x = 0
D. x = 1
Question 6
A binary operation ( ast ) is defined as \( a ast b = ab + 1 \). Find the value of ( 2 ast 3 ).
A. 7
B. 8
C. 9
D. 10
Question 7
Find the value of ( x ) in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 2
B. 4
C. 6
D. 8
Question 8
A set of 10 numbers has a mean of 20. If one number is removed, the mean becomes 19. What is the value of the number that was removed?
A. 10
B. 20
C. 30
D. 40
Question 9
Solve the inequality: \( 2x^2 + 5x - 3 \geq 0 \).
A. \left( -\frac{3}{2}, \frac{1}{2} \right]
B. \left( -\infty, \frac{1}{2} \right]
C. \left( -\infty, -\frac{3}{2} \right]
D. \left( -\infty, \infty \right]
Question 10
A rec\tangular box has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find the surface area of the box.
A. 60
B. 80
C. 100
D. 120
Question 11
Solve for x in the equation [ x^2 + 5x + 6 = 0 ].
A. -2
B. -1
C. 1
D. 2
Question 12
Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.
A. 24π cm³
B. 48π cm³
C. 96π cm³
D. 192π cm³
Question 13
Find the determinant of the matrix \( \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 14
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).
A. 64
B. 128
C. 256
D. 512
Question 15
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

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