POST UTME UNIOSUN 2020 Mathematics | Objective

Prepare for your exams with POST UTME UNIOSUN questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2020 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1 View Details
Solve the inequality \(\frac{x^2 - 4}{x + 2} > 0\) for ( x in mathbb{R} ).
Correct A. \(x < -2\) or \(x > 2\)
B. \(x > -2\) and \(x < 2\)
C. \(x < -2\) or \(x = 2\)
D. \(x > -2\) or \(x = 2\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 2 View Details
A histogram of exam scores is shown below. What is the mean score?
A. 50
B. 60
Correct C. 70
D. 80

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 3 View Details
Find the derivative of the function ( f(x) = \(\frac{1}{x^2 + 1}\)\)\) ) using the chain rule.
Correct A. ( f'\((x) =\)\(\frac{-2x}{x^2 + 1\) ^2}\)\) )
B. ( f'\((x) =\)\(\frac{2x}{x^2 + 1\) ^2}\)\) )
C. ( f'\((x) =\)\(\frac{2}{x^2 + 1\) ^2}\)\) )
D. ( f'\((x) =\)\(\frac{-2}{x^2 + 1\) ^2}\)\) )

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 4 View Details
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. \(\frac{1}{5}\)
Correct C. \(\frac{3}{10}\)
D. \(\frac{2}{5}\)

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 5 View Details
A rectangular 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
Correct C. 50
D. 60

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 6 View Details
A cylindrical tank with a radius of 4m and a height of 6m is filled with water. If the density of water is \(1000kg/m\^3\\(tank with a radius of 4m and a height of 6m is filled with water. If the density of water is (1000kg/m\), calculate the volume of water in the \tank.
A. 120\pi \(m^3\)
B. 240\pi \(m^3\)
Correct C. 360\pi \(m^3\)
D. 480\pi \(m^3\)

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 7 View Details
Solve for x: \log_{10} \(x^2 = 4\)
A. \(10^4\)
B. \(10^8\)
Correct C. \(10^12\)
D. \(10^16\)

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 8 View Details
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?
Correct A. 150
B. 200
C. 250
D. 300

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 9 View Details
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
Correct B. 243
C. 244
D. 245

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 10 View Details
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
Correct C. 6
D. 7

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 11 View Details
Let \(\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}\) and \(\mathbf{b} = egin{pmatrix} 1 \ -2 \end{pmatrix}\). Find the projection of ( mathbf{b} ) onto ( mathbf{a} ).
A. \(egin{pmatrix} 0 \ 0 \end{pmatrix}\)
Correct B. \(egin{pmatrix} 1 \ 2 \end{pmatrix}\)
C. \(egin{pmatrix} 2 \ -4 \end{pmatrix}\)
D. \(egin{pmatrix} 4 \ -8 \end{pmatrix}\)

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 12 View Details
Solve the inequality \(2x^2 + 5x - 3 > 0\).
Correct A. \(x < -1\) or \(x > \frac{3}{2}\)
B. \(x < -1\) or \(x < \frac{3}{2}\)
C. \(x > -1\) or \(x < \frac{3}{2}\)
D. \(x > -1\) or \(x > \frac{3}{2}\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 13 View Details
A binary operation ( ast ) is defined as \(a ast b = a^2 + b^2\). Find the value of ( 2 ast 3 ).
A. 5
B. 7
Correct C. 9
D. 11

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 14 View Details
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. \(\frac{1}{3}\)\)
Correct C. \(\frac{2}{3}\)\)
D. \(\frac{4}{5}\)\)

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 15 View Details
Solve the quadratic equation \(x^2 + 4x + 4 = 0\).
Correct A. \(x = -2\)
B. \(x = 2\)
C. \(x = -1\) or \(x = 4\)
D. \(x = -4\) or \(x = 1\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 16 View Details
Find the area under the curve \(y = \frac{1}{2}x^2 + 3x - 2\) from \(x = 0\) to \(x = 4\).
A. 64
B. 80
Correct C. 96
D. 112

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 17 View Details
Solve for ( x ) in the equation \(2^x + 3^x = 5^x\).
A. 1
Correct B. 2
C. 3
D. 4

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 18 View Details
Find the value of \(\log_{10} \left \frac{1}{2} \right \\) + \log_{10} \left\(\frac{1}{3} \right\) ).
A. -1
Correct B. -2
C. -3
D. -4

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 19 View Details
Find the sum of the first 5 terms of the geometric progression ( 2, 6, 18, ... ).
A. 242
B. 242.5
Correct C. 243
D. 243.5

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics
Question 20 View Details
Find the determinant of the matrix \(\begin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix}\).
Correct A. 0
B. 1
C. 2
D. 3

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

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:
Chat with Support