Exam Body

Year

Subject

Paper Type

POST UTME ESUT 2021 Mathematics | Objective

Prepare for your exams with POST UTME ESUT questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2021 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1 View Details

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

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

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

Correct Answer: A

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

Question 2 View Details

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

Correct A. \(x < -\frac{1}{2}\) or \(x > \frac{3}{2}\)

B. \(x < -\frac{3}{2}\) or \(x > \frac{1}{2}\)

C. \(x < -\frac{1}{2}\) or \(x < \frac{3}{2}\)

D. \(x < -\frac{3}{2}\) or \(x < \frac{1}{2}\)

Correct Answer: A

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

Question 3 View Details

A circle has a radius of 4 cm. Find the area of the circle using the formula \(A = \pi r^2\).

A. \(A = 16\pi\) \(cm^2\)

B. \(A = 32\pi\) \(cm^2\)

Correct C. \(A = 64\pi\) \(cm^2\)

D. \(A = 128\pi\) \(cm^2\)

Correct Answer: C

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

Question 4 View Details

A sequence is defined as \(a_n = 2n + 1\). Find the sum of the first 5 terms of the sequence.

A. ( 15 )

B. ( 25 )

C. ( 35 )

Correct D. ( 45 )

Correct Answer: D

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

Question 5 View Details

A set of numbers is defined as \(S = {1, 2, 3, 4, 5}\). Find the number of subsets of S.

Correct A. \(2^5\)

B. \(2^3\)

C. \(2^2\)

D. \(2^1\)

Correct Answer: A

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

Question 6 View Details

Find the area under the curve \(y = \frac{1}{2}x^2\) from \(x = 0\) to \(x = 4\).

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

B. ( 8 )

C. ( 12 )

D. ( 16 )

Correct Answer: A

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

Question 7 View Details

A set ( S ) contains the elements ( { 1, 2, 3, 4, 5 } ). Find the number of subsets of ( S ) that contain exactly two elements.

A. ( 10 )

Correct B. ( 12 )

C. ( 15 )

D. ( 20 )

Correct Answer: B

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

Question 8 View Details

Find the volume of the frustum of a cone with radii ( 6 ) and ( 3 ) and height ( 8 ).

A. ( 48pi )

B. ( 64pi )

Correct C. ( 72pi )

D. ( 80pi )

Correct Answer: C

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

Question 9 View Details

A sequence is defined recursively as \(a_n = 2a_{n-1} + 1\) with \(a_1 = 3\). Find the value of \(a_{10}\).

A. ( 1023 )

B. ( 1024 )

Correct C. ( 1025 )

D. ( 1026 )

Correct Answer: C

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

Question 10 View Details

Solve the equation \(\sin^2 x + \cos^2 x = 1\) for ( x ) in the interval ( [0, 2pi] ).

Correct A. \(0, \frac{\pi}{2}, \pi, \frac{3\pi}{2}\)

B. \(0, \frac{\pi}{2}, \frac{3\pi}{2}\)

C. ( 0, pi, 2pi )

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

Correct Answer: A

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

Question 11 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 12 View Details

Solve the inequality \(\frac{x^2 - 4}{x^2 - 9} > 0\).

A. \(-3, -1\) \cup (1, 3)

Correct B. \(-3, -1\) \cup (1, 3) \cup \(3, \infty\)

C. \(-3, -1\) \cup (1, 3) \cup \(-\infty, -3\) \cup \(3, \infty\)

D. \(-3, -1\) \cup (1, 3) \cup \(-\infty, -3\) \cup \(3, \infty\) \cup (0, 1)

Correct Answer: B

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

Question 13 View Details

Find the equation of the circle passing through the points \((2, 3)\) and \(-1, -2\)\).

Correct A. \(x^2\) + \\((y^2 + 4x - 6y - 12\)\(= 0\)\)

B. \(x^2\) + \\((y^2 - 4x + 6y - 12\)\(= 0\)\)

C. \(x^2\) + \\((y^2 + 4x + 6y - 12\)\(= 0\)\)

D. \(x^2\) + \\((y^2 - 4x - 6y - 12\)\(= 0\)\)

Correct Answer: A

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

Question 14 View Details

Solve the equation \(\tan^2 x = 3 \(1x\)1x\).

A. \(x =\)\(\frac{\pi}{4}\)\) + kpi

Correct B. \(x =\)\(\frac{\pi}{4}\)\) + \(\frac{k\pi}{2}\)\)

C. \(x =\)\(\frac{\pi}{4}\)\) + \(\frac{k\pi}{3}\)\)

D. \(x =\)\(\frac{\pi}{4}\)\) + \(\frac{k\pi}{6}\)\)

Correct Answer: B

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

Question 15 View Details

Find the area of the region bounded by the curves \(y = x^3\) and \(y = 2x^2\).

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

Correct B. \(\frac{1}{2}\)\)

C. 1

D. 2

Correct Answer: B

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

Question 16 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 17 View Details

Solve the system of equations: \begin{align*} x + y + z &= 3 \ 2x + 2y + 3z &= 7 \ 3x + y + 2z &= 9 \end{align*}

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

B. \(x = 2\), \(y = 1\), \(z = 0\)

C. \(x = 1\), \(y = 2\), \(z = 0\)

D. \(x = 0\), \(y = 1\), \(z = 2\)

Correct Answer: A

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

Question 18 View Details

Find the area of the triangle formed by the points \(A(1, 2)\), \(B(4, 6)\), and \(C(2, 1)\).

A. 5

B. 10

Correct C. 15

D. 20

Correct Answer: C

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

Question 19 View Details

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

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

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

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

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

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 \(A(2, 3)\) and \(B(4, 5)\).

Correct A. \(y = x + 1\)

B. \(y = x - 1\)

C. \(y = x + 2\)

D. \(y = x - 2\)

Correct Answer: A

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

Question 21 View Details

Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.

A. 19,683

B. 6,009

Correct C. 19,683

D. 6,009

Correct Answer: C

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

Question 22 View Details

Solve for x in the equation \(\frac{x}{x+1}\)\) + \(\frac{x}{x-1}\)\\() = 1.\)

A. \(x = 0\)

B. \(x = -1\)

Correct C. \(x = 1\)

D. \(x =\)\(-1/2\)

Correct Answer: C

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

Question 23 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 24 View Details

Find the determinant of the matrix \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \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 25 View Details

Find the volume of the cylinder with radius 4 and height 6.

A. 48\pi

B. 64\pi

Correct C. 96\pi

D. 192\pi

Correct Answer: C

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