POST UTME UNIOSUN 2020 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. \( x = -1 \) or \( x = 4 \)
D. \( x = -4 \) or \( x = 1 \)
Question 2
A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its volume?
A. 30
B. 40
C. 50
D. 60
Question 3
Find the value of \( \log_{10} \left\( \frac{1}{2} \right \ \) + \log_{10} \left\( \frac{1}{3} \right \) ).
A. -1
B. -2
C. -3
D. -4
Question 4
A histogram shows the distribution of exam scores for a class of 20 students. The histogram has 5 bars, each representing a range of scores. The heights of the bars are 2, 3, 4, 5, and 6. What is the mean score of the class?
A. 4
B. 5
C. 6
D. 7
Question 5
Find the sum of the first 5 terms of the geometric progression ( 2, 6, 18, ... ).
A. 242
B. 242.5
C. 243
D. 243.5
Question 6
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 64
B. 80
C. 96
D. 112
Question 7
Solve for ( x ) in the equation \( 2^x + 3^x = 5^x \).
A. 1
B. 2
C. 3
D. 4
Question 8
A fair six-sided die is rolled. What is the probability that the number obtained is a multiple of 3?
A. \frac{1}{2}
B. \frac{1}{3}
C. \frac{2}{3}
D. \frac{4}{5}
Question 9
A histogram of exam scores is shown below. What is the mean score?
A. 50
B. 60
C. 70
D. 80
Question 10
A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If a marble is drawn at random, what is the probability that it is blue?
A. \( \frac{1}{10} \)
B. \( \frac{1}{5} \)
C. \( \frac{3}{10} \)
D. \( \frac{2}{5} \)
Question 11
A cylindrical \tank with a radius of 4m and a height of 6m is filled with water. If the density of water is 1000kg/m^3, calculate the volume of water in the \tank.
A. 120\pi m^3
B. 240\pi m^3
C. 360\pi m^3
D. 480\pi m^3
Question 12
Find the determinant of the matrix \( \begin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 13
A set of 10 numbers has a mean of 20. If 5 new numbers are added to the set, the mean increases to 25. What is the sum of the original 10 numbers?
A. 150
B. 200
C. 250
D. 300
Question 14
Solve the inequality \( \frac{x^2 - 4}{x + 2} > 0 \) for ( x in mathbb{R} ).
A. \( x < -2 \) or \( x > 2 \)
B. \( x > -2 \) and \( x < 2 \)
C. \( x < -2 \) or \( x = 2 \)
D. \( x > -2 \) or \( x = 2 \)
Question 15
A geometric sequence has a first term of 2 and a common ratio of 3. What is the sum of the first 5 terms?
A. 242
B. 243
C. 244
D. 245

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