POST UTME UI 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A fair six-sided die is rolled twice. What is the probability that the sum of the two numbers is 7?
A. \frac{1}{6}
B. \frac{1}{3}
C. \frac{1}{2}
D. \frac{2}{3}
Question 2
Find the sum of the first 10 terms of the geometric series 2, 6, 18, ...
A. 195
B. 205
C. 215
D. 225
Question 3
Solve the equation [ x^2 + 4x + 4 = 0 ].
A. -2
B. -1
C. 1
D. 2
Question 4
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 5
In a certain number base, the number 1011 represents the value 5. What is the value of the number 1101 in this base?
A. 11
B. 13
C. 15
D. 17
Question 6
Find the area under the curve \( y = \frac{1}{x} \) from \( x = 1 \) to \( x = 2 \).
A. \( ln 2 - ln 1 \)
B. \( ln 2 - ln 2 \)
C. \( ln 1 - ln 2 \)
D. \( ln 2 - ln 3 \)
Question 7
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 8
A vector \mathbf{a} has a magnitude of 5 units and points in the direction of the positive x-axis. A vector \mathbf{b} has a magnitude of 3 units and points in the direction of the positive y-axis. What is the magnitude of the sum of these two vectors?
A. 5
B. 6
C. 7
D. 8
Question 9
Find the determinant of the matrix \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. ( 0 )
B. ( 1 )
C. ( 2 )
D. ( 3 )
Question 10
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 11
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 12
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 13
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 14
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 15
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 \( x < \frac{1}{2} \)

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