Exam Body

Year

Subject

Paper Type

POST UTME UNIPORT 2023 Mathematics | Objective

Prepare for your exams with POST UTME UNIPORT 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 solid formed by revolving the region bounded by the curves \(y = x^2\) and \(y = 4x\) about the x-axis.

Correct A. \(\frac{32}{15}\)\)\pi

B. \(\frac{64}{15}\)\)\pi

C. \(\frac{128}{15}\)\)\pi

D. \(\frac{256}{15}\)\)\pi

Correct Answer: A

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

Question 2 View Details

Solve the inequality \(|x-2| > 3\).

Correct A. \(-\infty,-5)\cup 5,\infty \\)

B. \(-\infty,-1)\cup 1,\infty \\)

C. \(-\infty,-5)\cup 2,\infty \\)

D. \(-\infty,-1)\cup 4,\infty \\)

Correct Answer: A

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

Question 3 View Details

Find the equation of the plane passing through the points \(A(1,2,3)\) and \(B(2,3,4)\) and perpendicular to the line \(\vec{r} = \begin{pmatrix}1\ 2\ 3\end{pmatrix}+t\begin{pmatrix}1\ 1\ 1\end{pmatrix}\).

Correct A. \(x+y+z = 6\)

B. \(x-y+z = 4\)

C. \(x+y-z = 2\)

D. \(x-y-z = 0\)

Correct Answer: A

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

Question 4 View Details

Solve the equation \(\log_{10}x^2-4 = 2\).\)

Correct A. x=\pm 2\sqrt{10}

B. x=\pm 10

C. x=\pm 2\sqrt{5}

D. x=\pm 5

Correct Answer: A

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

Question 5 View Details

Find the value of \(\sqrt{\frac{\sqrt{2}}{\sqrt{3}}}\).

Correct A. \(\frac{\sqrt{6}}{3}\)

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

C. \(\frac{\sqrt{3}}{2}\)

D. \(\frac{\sqrt{6}}{2}\)

Correct Answer: A

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

Question 6 View Details

Find the derivative of the function ( f(x) = \(\frac{1}\){\sqrt{\(x^2 + 1}}\)\) ) using the chain rule.

Correct A. ( f'\((x) =\)\(\frac{-x}\){ \(x^2 + 1\) \)^{\(3/2\)}}\) )

B. ( f'\((x) =\)\(\frac{x}\){ \(x^2 + 1\) \)^{\(3/2\)}}\) )

C. ( f'\((x) =\)\(\frac{1}\){ \(x^2 + 1\) \)^{\(3/2\)}}\) )

D. ( f'\((x) =\)\(\frac{-1}\){ \(x^2 + 1\) \)^{\(3/2\)}}\) )

Correct Answer: A

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

Question 7 View Details

Solve the inequality \(2x^2 + 5x - 3 > 0\) using the quadratic formula.

Correct A. \(x > -\frac{5}{4}\) or \(x < \frac{3}{2}\)

B. \(x < -\frac{5}{4}\) or \(x > \frac{3}{2}\)

C. \(x > -\frac{5}{4}\) and \(x < \frac{3}{2}\)

D. \(x < -\frac{5}{4}\) and \(x > \frac{3}{2}\)

Correct Answer: A

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

Question 8 View Details

Find the volume of the solid formed by revolving the region bounded by the curves \(y = x^2\) and \(y = 4 - x^2\) about the x-axis.

Correct A. \(\frac{16\pi}{3}\)

B. \(\frac{32\pi}{3}\)

C. \(\frac{64\pi}{3}\)

D. \(\frac{128\pi}{3}\)

Correct Answer: A

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

Question 9 View Details

Solve the equation \(2^x + 2^{-x} = 3\) for x.

A. \(x = \log_2 2\)

Correct B. \(x = \log_2 3\)

C. \(x = \log_2 4\)

D. \(x = \log_2 6\)

Correct Answer: B

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

Question 10 View Details

Find the surface area of the solid formed by revolving the region bounded by the curves \(y = x^2\) and \(y = 4 - x^2\) about the x-axis.

Correct A. ( 16pi )

B. ( 32pi )

C. ( 64pi )

D. ( 128pi )

Correct Answer: A

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

Question 11 View Details

Let X and Y be independent events with P(X) = 0.4 and P(Y) = 0.6. Find P(\(X \cap Y\)).

Correct A. 0.24

B. 0.36

C. 0.48

D. 0.60

Correct Answer: A

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

Question 12 View Details

Find the volume of the solid formed by revolving the region bounded by \(y = x\^2\), \(y = 0\), and \(x = 2\) about the x-axis.

A. 32π

B. 64π

Correct C. 128π

D. 256π

Correct Answer: C

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

Question 13 View Details

Solve the matrix equation (AX = B\), where A = egin{bmatrix} 1 & 2 \ 3 & 4 \\\(((AX = B)\), where A = egin{bmatrix} 1 & 2 \end{bmatrix},\(X =\)egin{bmatrix} x \ y \end{bmatrix}, and B = egin{bmatrix} 5 \ 6 \end{bmatrix}.

Correct A. egin{bmatrix} 1 \ 2 \end{bmatrix}

B. egin{bmatrix} 2 \ 3 \end{bmatrix}

C. egin{bmatrix} 3 \ 4 \end{bmatrix}

D. egin{bmatrix} 4 \ 5 \end{bmatrix}

Correct Answer: A

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

Question 14 View Details

Find the surface area of the solid formed by revolving the region bounded by \(y = x\^2\), \(y = 0\), and \(x = 2\) about the x-axis.

A. 64π

Correct B. 128π

C. 256π

D. 512π

Correct Answer: B

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

Question 15 View Details

Find the sum of the infinite geometric series 1 + x + \(x^2\) + ...

Correct A. 1/\(1-x\)

B. 1/\(1+x\)

C. 1/\(1-x^2\)

D. 1/\(1+x^2\)

Correct Answer: A

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

Question 16 View Details

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

Correct A. text{Equation: } \(x - 2\)^2 + \\(text{Equation:} (x - 2\(y - 3\)^\(2 = 16\)

B. text{Equation: } \(x + 2\)^2 + \\(text{Equation:} (x + 2\(y - 3\)^\(2 = 16\)

C. text{Equation: } \(x - 2\)^2 + \\(text{Equation:} (x - 2\(y + 3\)^\(2 = 16\)

D. text{Equation: } \(x + 2\)^2 + \\(text{Equation:} (x + 2\(y + 3\)^\(2 = 16\)

Correct Answer: A

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

Question 17 View Details

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

Correct A. \text{Solution: }\(x < -1\)\text{ or } \(x > 2\)

B. \text{Solution: }\(x < -1\)\text{ or } \(x < 2\)

C. \text{Solution: }\(x > -1\)\text{ or } \(x > 2\)

D. \text{Solution: }\(x > -1\)\text{ or } \(x < 2\)

Correct Answer: A

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

Question 18 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

Question 19 View Details

Solve the quadratic equation \begin{align*} \(x^2 + 4x + 4\) &= 0 \end{align*}.

Correct A. \text{Solution: }\(x = -2\)

B. \text{Solution: }\(x = -1\)

C. \text{Solution: } \(x = 0\)

D. \text{Solution: } \(x = 1\)

Correct Answer: A

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

Question 20 View Details

Find the equation of the line passing through the points (2, 3) and (4, 5).

A. \text{Equation: } \(y = 1x + 1\)

Correct B. \text{Equation: } \(y = 2x + 1\)

C. \text{Equation: } \(y = 3x + 1\)

D. \text{Equation: } \(y = 4x + 1\)

Correct Answer: B

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

Question 21 View Details

Solve the inequality \begin{align*} \(x^2 - 4x + 3\) &> 0 \end{align*}.

Correct A. \text{Solution: } \(x < 1\) \text{ or } \(x > 3\)

B. \text{Solution: } \(x < 3\) \text{ or } \(x > 1\)

C. \text{Solution: } \(x < 2\) \text{ or } \(x > 2\)

D. \text{Solution: } \(x < 1\) \text{ or } \(x < 3\)

Correct Answer: A

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

Question 22 View Details

Find the value of \begin{align*} \(\frac{1}{2}\)\) \left\(\frac{1}{3} + \frac{1}{4} \right\) \end{align*}.

A. \(\frac{1}{4}\)\)

Correct B. \(\frac{1}{6}\)\)

C. \(\frac{1}{8}\)\)

D. \(\frac{1}{12}\)\)

Correct Answer: B

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

Question 23 View Details

Solve the equation \begin{align*} \(x^2 + 2x - 6\) &= 0 \end{align*}.

A. \text{Solution: }\(x = -3\)\text{ or } \(x = 2\)

B. \text{Solution: }\(x = -2\)\text{ or } \(x = 3\)

C. \text{Solution: }\(x = -1\)\text{ or } \(x = 6\)

D. \text{Solution: } \(x = 1\) \text{ or }\(x = -6\)

Correct Answer: VIEW ANSWER

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

Question 24 View Details

Determine the volume of the frustum of a cone with a height of 10 cm, a base radius of 6 cm, and a top radius of 4 cm.

A. 100π cm³

Correct B. 150π cm³

C. 200π cm³

D. 250π cm³

Correct Answer: B

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

Question 25 View Details

Solve the system of linear equations using matrices: \(\begin{array}{ccc} x+2y-3z& = &7\ 2x-y+z& = &5\ -x+3y-2z& = &1\ \end{array}\)

Correct A. \(x = 1\), \(y = 2\), \(z = 3\)

B. \(x = 2\), \(y = 1\), \(z = 4\)

C. \(x = 3\), \(y = 2\), \(z = 5\)

D. \(x = 4\), \(y = 3\), \(z = 6\)

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