POST UTME UI 2024 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 u\sing the chain rule.
A. 6x + 2
B. 3x + 1
C. 2x - 1
D. x - 2
Question 2
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) u\sing the quadratic formula.
A. \( x = -2 \)
B. \( x = -3 \)
C. \( x = 2 \)
D. \( x = 3 \)
Question 3
Determine the mean of the following dataset: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?
A. 12
B. 14
C. 16
D. 18
Question 4
Solve the system of equations \( egin{cases} x + y = 2 \ 2x - y = 3 \end{cases} \).
A. \( x = 1, y = 1 \)
B. \( x = 2, y = 0 \)
C. \( x = 0, y = 2 \)
D. \( x = 1, y = 2 \)
Question 5
Find the derivative of the function f(x) = 3x^2 + 2x - 5 u\sing the power rule.
A. 6x + 2
B. 6x - 2
C. 3x^2 + 2
D. 3x^2 - 2
Question 6
Solve the system of linear equations u\sing matrices: \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix} \).
A. \( x = 1, y = 2 \)
B. \( x = 2, y = 1 \)
C. \( x = 3, y = 4 \)
D. \( x = 4, y = 3 \)
Question 7
A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. What is the volume of the prism in cubic centimeters?
A. 72
B. 48
C. 36
D. 24
Question 8
A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, how much profit do they make in a day?
A. ₦1,250
B. ₦1,500
C. ₦1,750
D. ₦2,000
Question 9
Determine the determinant of the matrix [ egin{array}{ccc} 2 & 3 & 1 \ 4 & 2 & 3 \ 1 & 2 & 4 \end{array} ].
A. -14
B. 14
C. -28
D. 28
Question 10
Solve for x in the equation \sin(x) = \cos(x) u\sing the identity \sin^2(x) + \cos^2(x) = 1.
A. \frac{\pi}{4}
B. \frac{\pi}{2}
C. \frac{3\pi}{4}
D. \frac{\pi}{6}
Question 11
Determine the probability of the event that a randomly selected student from a class of 30 students is a female, given that 15 students are females and 8 students are males.
A. \frac{1}{2}
B. \frac{2}{3}
C. \frac{3}{4}
D. \frac{4}{5}
Question 12
Solve the equation [ x^2 + 4x + 4 = 0 ].
A. -2
B. -1
C. 1
D. 2
Question 13
Find the equation of the circle with center at ((2,3)) and radius 4.
A. \( x-2 \ \)^2 + \( y-3 \)^2 = 16 )
B. \( x-2 \ \)^2 + \( y-3 \)^2 = 4 )
C. \( x-4 \ \)^2 + \( y-3 \)^2 = 16 )
D. \( x-2 \ \)^2 + \( y-3 \)^2 = 64 )
Question 14
A circle has a radius of 5 cm. What is the area of the circle?
A. 25\pi
B. 50\pi
C. 75\pi
D. 100\pi
Question 15
Two events, A and B, are indep\endent. If P(A) = 0.4 and P(B) = 0.6, what is P(A ∩ B)?
A. 0.12
B. 0.24
C. 0.36
D. 0.48

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: