Exam Body

Year

Subject

Paper Type

POST UTME OAU 2023 Mathematics | Objective

Prepare for your exams with POST UTME OAU questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1 View Details

Find the volume of the frustum of a cone with height (h\) and radii of the bases \(r_1\\((h) and radii of the bases\) and \(r_2\).

Correct A. \(\frac{1}{3}\)\)\pi h \(r_1^2 + r_2^2 + r_1 r_2\)

B. \(\frac{1}{3}\)\)\pi h \(r_1^2 + r_2^2 - r_1 r_2\)

C. \(\frac{1}{3}\)\)\pi h \(r_1^2 - r_2^2 + r_1 r_2\)

D. \(\frac{1}{3}\)\)\pi h \(r_1^2 - r_2^2 - r_1 r_2\)

Correct Answer: A

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

Question 2 View Details

Solve the inequality \(\frac{x}{x+1}\)\\() > 1.\)

Correct A. \(x > -1\)

B. \(x < -1\)

C. \(x > 1\)

D. \(x < 1\)

Correct Answer: A

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. \(\frac{-2x}{x^2 + 1\) ^2}\)\)

B. \(\frac{2x}{x^2 + 1\) ^2}\)\)

C. \(\frac{x}{x^2 + 1\) ^2}\)\)

D. \(\frac{-x}{x^2 + 1\) ^2}\)\)

Correct Answer: A

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

Question 4 View Details

Solve the system of equations \begin{align*} x + y &= 2 \ x - y &= 1 \end{align*} using matrices.

Correct A. \begin{pmatrix} 1 \ 1 \end{pmatrix}

B. \begin{pmatrix} 1 \ -1 \end{pmatrix}

C. \begin{pmatrix} 2 \ 1 \end{pmatrix}

D. \begin{pmatrix} 2 \ -1 \end{pmatrix}

Correct Answer: A

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

Question 5 View Details

Find the surface area of the sphere with radius \(r\).

Correct A. 4\pi \(r^2\)

B. 2\pi \(r^2\)

C. \pi \(r^2\)

D. \(\frac{1}{2}\)\)\pi \(r^2\)

Correct Answer: A

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

Question 6 View Details

In a random sample of 100 students, the mean height is 175 cm with a standard deviation of 5 cm. If the heights of the students are normally distributed, what is the probability that a randomly selected student will be taller than 180 cm?

A. 0.1587

B. 0.3413

C. 0.4772

Correct D. 0.6915

Correct Answer: D

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

Question 7 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 8 View Details

A rectangular solid has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Find the volume of the solid.

A. 30 \(cm^3\)

B. 40 \(cm^3\)

Correct C. 50 \(cm^3\)

D. 60 \(cm^3\)

Correct Answer: C

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

Question 9 View Details

Solve the equation \(2^x + 2^x = 100\).

A. \(x = 4\)

Correct B. \(x = 5\)

C. \(x = 6\)

D. \(x = 7\)

Correct Answer: B

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

Question 10 View Details

Find the equation of the circle with center \(-2, 3\) and radius 4.

Correct A. \(x + 2 \\)^2 + \(y - 3\)^\(2 = 16\) )

B. \(x - 2 \\)^2 + \(y + 3\)^\(2 = 16\) )

C. \(x + 2 \\)^2 + \(y + 3\)^\(2 = 16\) )

D. \(x - 2 \\)^2 + \(y - 3\)^\(2 = 16\) )

Correct Answer: A

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

Question 11 View Details

Determine the value of x in the equation \(\frac{1}{2}x + 5 = \frac{3}{4}x - 2\).

Correct A. \(\frac{11}{4}\)\)

B. \(\frac{3}{2}\)\)

C. -\(\frac{1}{2}\)\)

D. -\(\frac{3}{4}\)\)

Correct Answer: A

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

Question 12 View Details

A bakery sells a total of 480 loaves of bread per day. They sell a combination of whole wheat and white bread. If the ratio of whole wheat to white bread is 5:3, how many loaves of whole wheat bread are sold per day?

Correct A. 120

B. 150

C. 180

D. 200

Correct Answer: A

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

Question 13 View Details

A box contains 12 red balls, 16 blue balls, and 4 green balls. If a ball is drawn at random, what is the probability that it is either red or blue?

Correct A. \(\frac{7}{12}\)\)

B. \(\frac{4}{5}\)\)

C. \(\frac{3}{4}\)\)

D. \(\frac{2}{3}\)\)

Correct Answer: A

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

Question 14 View Details

In a geometric sequence, the first term is 2 and the common ratio is 3. What is the sum of the first 5 terms?

Correct A. \(\frac{243}{2}\)\)

B. \(\frac{243}{4}\)\)

C. \(\frac{243}{8}\)\)

D. \(\frac{243}{16}\)\)

Correct Answer: A

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

Question 15 View Details

A polynomial function has a degree of 4 and has zeros at x = -2, \(x = 3\), and \(x = 4\). What is the factored form of the polynomial?

Correct A. \(x + 2\), x - 3\)\(x - 4\), x + 1\)

B. \(x + 2\), x - 3\)\(x - 4\), x - 1\)

C. \(x + 2\), x - 3\)\(x - 4\), x + 3\)

D. \(x + 2\), x - 3\)\(x - 4\), x - 2\)

Correct Answer: A

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

Question 16 View Details

Let \(\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}\) and \(\mathbf{b} = egin{pmatrix} 1 \ -2 end{pmatrix}\). Find the vector \(\\(end{pmatrix}). Find the vector \mathbf{a} \times \mathbf{b}\) using the determinant formula.

Correct A. \(egin{pmatrix} 6 \ -2 \end{pmatrix}\)

B. \(egin{pmatrix} -6 \ 2 \end{pmatrix}\)

C. \(egin{pmatrix} 2 \ -6 \end{pmatrix}\)

D. \(egin{pmatrix} -2 \ 6 \end{pmatrix}\)

Correct Answer: A

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

Question 17 View Details

Solve the equation \(x^3 + 2x^2 - 7x - 12 = 0\) by factoring.

Correct A. \(x = -3, 2, -2\)

B. \(x = -3, 2, 4\)

C. \(x = -3, 2, -4\)

D. \(x = -3, 2, 1\)

Correct Answer: A

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

Question 18 View Details

Find the value of (\(12\theta\) given that \\((\)12theta\(\(1\theta = \frac{3}{5}\) and 1\\(theta =\)\(\frac{4}{5}\)\).

Correct A. \(\frac{24}{25}\)

B. \(\frac{12}{25}\)

C. \(\frac{16}{25}\)

D. \(\frac{20}{25}\)

Correct Answer: A

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

Question 19 View Details

Solve the inequality \(\frac{x + 2}{x - 1} > 0\) using a sign chart.

Correct A. \(x < -2\) or \(x > 1\)

B. \(x < -2\) or \(x < 1\)

C. \(x > -2\) or \(x > 1\)

D. \(x < -2\) or \(x < 1\)

Correct Answer: A

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

Question 20 View Details

Find the value of \(\log_{10} x^2 \\) ) given that \(\log_{10} x = 2\).

Correct A. ( 4 )

B. ( 2 )

C. ( 1 )

D. ( 3 )

Correct Answer: A

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

Question 21 View Details

Find the determinant of the matrix \(egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix}\).

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

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

Question 22 View Details

A rectangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find its volume.

Correct A. 72

B. 80

C. 90

D. 100

Correct Answer: A

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

Question 23 View Details

Solve the quadratic equation \(x^2 + 4x + 4 = 0\).

A. -1

B. 0

C. 1

Correct D. -2

Correct Answer: D

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

Question 24 View Details

A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. If a marble is drawn at random, what is the probability that it is blue?

A. 0.2

Correct B. 0.25

C. 0.3

D. 0.4

Correct Answer: B

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

Question 25 View Details

A company produces two products, A and B. The profit from product A is 10 per unit, and the profit from product B is15 per unit. If the company produces 100 units of product A and 50 units of product B, what is the total profit?

A. 1500

Correct B. 2000

C. 2500

D. 3000

Correct Answer: B

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